Identifier
Images
=>
Cc0014;cc-rep-1
[]=>([],0)
[1]=>([],1)
[1,2]=>([(0,1)],2)
[2,1]=>([],2)
[1,2,3]=>([(0,2),(2,1)],3)
[1,3,2]=>([(0,1),(0,2)],3)
[2,1,3]=>([(0,2),(1,2)],3)
[2,3,1]=>([(1,2)],3)
[3,1,2]=>([(1,2)],3)
[3,2,1]=>([],3)
[1,2,3,4]=>([(0,3),(2,1),(3,2)],4)
[1,2,4,3]=>([(0,3),(3,1),(3,2)],4)
[1,3,2,4]=>([(0,1),(0,2),(1,3),(2,3)],4)
[1,3,4,2]=>([(0,2),(0,3),(3,1)],4)
[1,4,2,3]=>([(0,2),(0,3),(3,1)],4)
[1,4,3,2]=>([(0,1),(0,2),(0,3)],4)
[2,1,3,4]=>([(0,3),(1,3),(3,2)],4)
[2,1,4,3]=>([(0,2),(0,3),(1,2),(1,3)],4)
[2,3,1,4]=>([(0,3),(1,2),(2,3)],4)
[2,3,4,1]=>([(1,2),(2,3)],4)
[2,4,1,3]=>([(0,3),(1,2),(1,3)],4)
[2,4,3,1]=>([(1,2),(1,3)],4)
[3,1,2,4]=>([(0,3),(1,2),(2,3)],4)
[3,1,4,2]=>([(0,3),(1,2),(1,3)],4)
[3,2,1,4]=>([(0,3),(1,3),(2,3)],4)
[3,2,4,1]=>([(1,3),(2,3)],4)
[3,4,1,2]=>([(0,3),(1,2)],4)
[3,4,2,1]=>([(2,3)],4)
[4,1,2,3]=>([(1,2),(2,3)],4)
[4,1,3,2]=>([(1,2),(1,3)],4)
[4,2,1,3]=>([(1,3),(2,3)],4)
[4,2,3,1]=>([(2,3)],4)
[4,3,1,2]=>([(2,3)],4)
[4,3,2,1]=>([],4)
[1,2,3,4,5]=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,2,3,5,4]=>([(0,3),(3,4),(4,1),(4,2)],5)
[1,2,4,3,5]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[1,2,4,5,3]=>([(0,4),(3,2),(4,1),(4,3)],5)
[1,2,5,3,4]=>([(0,4),(3,2),(4,1),(4,3)],5)
[1,2,5,4,3]=>([(0,4),(4,1),(4,2),(4,3)],5)
[1,3,2,4,5]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
[1,3,2,5,4]=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)
[1,3,4,2,5]=>([(0,2),(0,3),(1,4),(2,4),(3,1)],5)
[1,3,4,5,2]=>([(0,2),(0,4),(3,1),(4,3)],5)
[1,3,5,2,4]=>([(0,2),(0,3),(2,4),(3,1),(3,4)],5)
[1,3,5,4,2]=>([(0,3),(0,4),(4,1),(4,2)],5)
[1,4,2,3,5]=>([(0,2),(0,3),(1,4),(2,4),(3,1)],5)
[1,4,2,5,3]=>([(0,2),(0,3),(2,4),(3,1),(3,4)],5)
[1,4,3,2,5]=>([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)
[1,4,3,5,2]=>([(0,1),(0,2),(0,3),(2,4),(3,4)],5)
[1,4,5,2,3]=>([(0,3),(0,4),(3,2),(4,1)],5)
[1,4,5,3,2]=>([(0,2),(0,3),(0,4),(4,1)],5)
[1,5,2,3,4]=>([(0,2),(0,4),(3,1),(4,3)],5)
[1,5,2,4,3]=>([(0,3),(0,4),(4,1),(4,2)],5)
[1,5,3,2,4]=>([(0,1),(0,2),(0,3),(2,4),(3,4)],5)
[1,5,3,4,2]=>([(0,2),(0,3),(0,4),(4,1)],5)
[1,5,4,2,3]=>([(0,2),(0,3),(0,4),(4,1)],5)
[1,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4)],5)
[2,1,3,4,5]=>([(0,4),(1,4),(2,3),(4,2)],5)
[2,1,3,5,4]=>([(0,4),(1,4),(4,2),(4,3)],5)
[2,1,4,3,5]=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)
[2,1,4,5,3]=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5)
[2,1,5,3,4]=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5)
[2,1,5,4,3]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)
[2,3,1,4,5]=>([(0,4),(1,2),(2,4),(4,3)],5)
[2,3,1,5,4]=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5)
[2,3,4,1,5]=>([(0,4),(1,2),(2,3),(3,4)],5)
[2,3,4,5,1]=>([(1,4),(3,2),(4,3)],5)
[2,3,5,1,4]=>([(0,4),(1,2),(2,3),(2,4)],5)
[2,3,5,4,1]=>([(1,4),(4,2),(4,3)],5)
[2,4,1,3,5]=>([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[2,4,1,5,3]=>([(0,3),(0,4),(1,2),(1,3),(2,4)],5)
[2,4,3,1,5]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[2,4,3,5,1]=>([(1,2),(1,3),(2,4),(3,4)],5)
[2,4,5,1,3]=>([(0,4),(1,2),(1,4),(2,3)],5)
[2,4,5,3,1]=>([(1,3),(1,4),(4,2)],5)
[2,5,1,3,4]=>([(0,4),(1,2),(1,4),(4,3)],5)
[2,5,1,4,3]=>([(0,3),(0,4),(1,2),(1,3),(1,4)],5)
[2,5,3,1,4]=>([(0,4),(1,2),(1,3),(3,4)],5)
[2,5,3,4,1]=>([(1,3),(1,4),(4,2)],5)
[2,5,4,1,3]=>([(0,4),(1,2),(1,3),(1,4)],5)
[2,5,4,3,1]=>([(1,2),(1,3),(1,4)],5)
[3,1,2,4,5]=>([(0,4),(1,2),(2,4),(4,3)],5)
[3,1,2,5,4]=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5)
[3,1,4,2,5]=>([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[3,1,4,5,2]=>([(0,4),(1,2),(1,4),(4,3)],5)
[3,1,5,2,4]=>([(0,3),(0,4),(1,2),(1,3),(2,4)],5)
[3,1,5,4,2]=>([(0,3),(0,4),(1,2),(1,3),(1,4)],5)
[3,2,1,4,5]=>([(0,4),(1,4),(2,4),(4,3)],5)
[3,2,1,5,4]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)
[3,2,4,1,5]=>([(0,4),(1,3),(2,3),(3,4)],5)
[3,2,4,5,1]=>([(1,4),(2,4),(4,3)],5)
[3,2,5,1,4]=>([(0,4),(1,3),(1,4),(2,3),(2,4)],5)
[3,2,5,4,1]=>([(1,3),(1,4),(2,3),(2,4)],5)
[3,4,1,2,5]=>([(0,3),(1,2),(2,4),(3,4)],5)
[3,4,1,5,2]=>([(0,3),(1,2),(1,4),(3,4)],5)
[3,4,2,1,5]=>([(0,4),(1,4),(2,3),(3,4)],5)
[3,4,2,5,1]=>([(1,4),(2,3),(3,4)],5)
[3,4,5,1,2]=>([(0,3),(1,4),(4,2)],5)
[3,4,5,2,1]=>([(2,3),(3,4)],5)
[3,5,1,2,4]=>([(0,3),(1,2),(1,4),(3,4)],5)
[3,5,1,4,2]=>([(0,3),(0,4),(1,2),(1,4)],5)
[3,5,2,1,4]=>([(0,4),(1,4),(2,3),(2,4)],5)
[3,5,2,4,1]=>([(1,4),(2,3),(2,4)],5)
[3,5,4,1,2]=>([(0,4),(1,2),(1,3)],5)
[3,5,4,2,1]=>([(2,3),(2,4)],5)
[4,1,2,3,5]=>([(0,4),(1,2),(2,3),(3,4)],5)
[4,1,2,5,3]=>([(0,4),(1,2),(2,3),(2,4)],5)
[4,1,3,2,5]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[4,1,3,5,2]=>([(0,4),(1,2),(1,3),(3,4)],5)
[4,1,5,2,3]=>([(0,4),(1,2),(1,4),(2,3)],5)
[4,1,5,3,2]=>([(0,4),(1,2),(1,3),(1,4)],5)
[4,2,1,3,5]=>([(0,4),(1,3),(2,3),(3,4)],5)
[4,2,1,5,3]=>([(0,4),(1,3),(1,4),(2,3),(2,4)],5)
[4,2,3,1,5]=>([(0,4),(1,4),(2,3),(3,4)],5)
[4,2,3,5,1]=>([(1,4),(2,3),(3,4)],5)
[4,2,5,1,3]=>([(0,4),(1,3),(2,3),(2,4)],5)
[4,2,5,3,1]=>([(1,4),(2,3),(2,4)],5)
[4,3,1,2,5]=>([(0,4),(1,4),(2,3),(3,4)],5)
[4,3,1,5,2]=>([(0,4),(1,4),(2,3),(2,4)],5)
[4,3,2,1,5]=>([(0,4),(1,4),(2,4),(3,4)],5)
[4,3,2,5,1]=>([(1,4),(2,4),(3,4)],5)
[4,3,5,1,2]=>([(0,4),(1,4),(2,3)],5)
[4,3,5,2,1]=>([(2,4),(3,4)],5)
[4,5,1,2,3]=>([(0,3),(1,4),(4,2)],5)
[4,5,1,3,2]=>([(0,4),(1,2),(1,3)],5)
[4,5,2,1,3]=>([(0,4),(1,4),(2,3)],5)
[4,5,2,3,1]=>([(1,4),(2,3)],5)
[4,5,3,1,2]=>([(1,4),(2,3)],5)
[4,5,3,2,1]=>([(3,4)],5)
[5,1,2,3,4]=>([(1,4),(3,2),(4,3)],5)
[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5)
[5,1,3,2,4]=>([(1,2),(1,3),(2,4),(3,4)],5)
[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5)
[5,1,4,2,3]=>([(1,3),(1,4),(4,2)],5)
[5,1,4,3,2]=>([(1,2),(1,3),(1,4)],5)
[5,2,1,3,4]=>([(1,4),(2,4),(4,3)],5)
[5,2,1,4,3]=>([(1,3),(1,4),(2,3),(2,4)],5)
[5,2,3,1,4]=>([(1,4),(2,3),(3,4)],5)
[5,2,3,4,1]=>([(2,3),(3,4)],5)
[5,2,4,1,3]=>([(1,4),(2,3),(2,4)],5)
[5,2,4,3,1]=>([(2,3),(2,4)],5)
[5,3,1,2,4]=>([(1,4),(2,3),(3,4)],5)
[5,3,1,4,2]=>([(1,4),(2,3),(2,4)],5)
[5,3,2,1,4]=>([(1,4),(2,4),(3,4)],5)
[5,3,2,4,1]=>([(2,4),(3,4)],5)
[5,3,4,1,2]=>([(1,4),(2,3)],5)
[5,3,4,2,1]=>([(3,4)],5)
[5,4,1,2,3]=>([(2,3),(3,4)],5)
[5,4,1,3,2]=>([(2,3),(2,4)],5)
[5,4,2,1,3]=>([(2,4),(3,4)],5)
[5,4,2,3,1]=>([(3,4)],5)
[5,4,3,1,2]=>([(3,4)],5)
[5,4,3,2,1]=>([],5)
[1,2,3,4,5,6]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,2,3,4,6,5]=>([(0,4),(3,5),(4,3),(5,1),(5,2)],6)
[1,2,3,5,4,6]=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
[1,2,3,5,6,4]=>([(0,4),(3,2),(4,5),(5,1),(5,3)],6)
[1,2,3,6,4,5]=>([(0,4),(3,2),(4,5),(5,1),(5,3)],6)
[1,2,3,6,5,4]=>([(0,4),(4,5),(5,1),(5,2),(5,3)],6)
[1,2,4,3,5,6]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[1,2,4,3,6,5]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6)
[1,2,4,5,3,6]=>([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)
[1,2,4,5,6,3]=>([(0,5),(3,4),(4,2),(5,1),(5,3)],6)
[1,2,4,6,3,5]=>([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6)
[1,2,4,6,5,3]=>([(0,5),(4,2),(4,3),(5,1),(5,4)],6)
[1,2,5,3,4,6]=>([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)
[1,2,5,3,6,4]=>([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6)
[1,2,5,4,3,6]=>([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)
[1,2,5,4,6,3]=>([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6)
[1,2,5,6,3,4]=>([(0,5),(3,2),(4,1),(5,3),(5,4)],6)
[1,2,5,6,4,3]=>([(0,5),(4,3),(5,1),(5,2),(5,4)],6)
[1,2,6,3,4,5]=>([(0,5),(3,4),(4,2),(5,1),(5,3)],6)
[1,2,6,3,5,4]=>([(0,5),(4,2),(4,3),(5,1),(5,4)],6)
[1,2,6,4,3,5]=>([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6)
[1,2,6,4,5,3]=>([(0,5),(4,3),(5,1),(5,2),(5,4)],6)
[1,2,6,5,3,4]=>([(0,5),(4,3),(5,1),(5,2),(5,4)],6)
[1,2,6,5,4,3]=>([(0,5),(5,1),(5,2),(5,3),(5,4)],6)
[1,3,2,4,5,6]=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
[1,3,2,4,6,5]=>([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6)
[1,3,2,5,4,6]=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)
[1,3,2,5,6,4]=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)
[1,3,2,6,4,5]=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)
[1,3,2,6,5,4]=>([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[1,3,4,2,5,6]=>([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)
[1,3,4,2,6,5]=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)
[1,3,4,5,2,6]=>([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6)
[1,3,4,5,6,2]=>([(0,2),(0,5),(3,4),(4,1),(5,3)],6)
[1,3,4,6,2,5]=>([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6)
[1,3,4,6,5,2]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6)
[1,3,5,2,4,6]=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
[1,3,5,2,6,4]=>([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6)
[1,3,5,4,2,6]=>([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)
[1,3,5,4,6,2]=>([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6)
[1,3,5,6,2,4]=>([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)
[1,3,5,6,4,2]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6)
[1,3,6,2,4,5]=>([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6)
[1,3,6,2,5,4]=>([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6)
[1,3,6,4,2,5]=>([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6)
[1,3,6,4,5,2]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6)
[1,3,6,5,2,4]=>([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6)
[1,3,6,5,4,2]=>([(0,4),(0,5),(5,1),(5,2),(5,3)],6)
[1,4,2,3,5,6]=>([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)
[1,4,2,3,6,5]=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)
[1,4,2,5,3,6]=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
[1,4,2,5,6,3]=>([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6)
[1,4,2,6,3,5]=>([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6)
[1,4,2,6,5,3]=>([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6)
[1,4,3,2,5,6]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)
[1,4,3,2,6,5]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[1,4,3,5,2,6]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)
[1,4,3,5,6,2]=>([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6)
[1,4,3,6,2,5]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[1,4,3,6,5,2]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)
[1,4,5,2,3,6]=>([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)
[1,4,5,2,6,3]=>([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6)
[1,4,5,3,2,6]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)
[1,4,5,3,6,2]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)
[1,4,5,6,2,3]=>([(0,4),(0,5),(3,2),(4,3),(5,1)],6)
[1,4,5,6,3,2]=>([(0,2),(0,3),(0,5),(4,1),(5,4)],6)
[1,4,6,2,3,5]=>([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6)
[1,4,6,2,5,3]=>([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6)
[1,4,6,3,2,5]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6)
[1,4,6,3,5,2]=>([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)
[1,4,6,5,2,3]=>([(0,4),(0,5),(4,3),(5,1),(5,2)],6)
[1,4,6,5,3,2]=>([(0,3),(0,4),(0,5),(5,1),(5,2)],6)
[1,5,2,3,4,6]=>([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6)
[1,5,2,3,6,4]=>([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6)
[1,5,2,4,3,6]=>([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)
[1,5,2,4,6,3]=>([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6)
[1,5,2,6,3,4]=>([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)
[1,5,2,6,4,3]=>([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6)
[1,5,3,2,4,6]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)
[1,5,3,2,6,4]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[1,5,3,4,2,6]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)
[1,5,3,4,6,2]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)
[1,5,3,6,2,4]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6)
[1,5,3,6,4,2]=>([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)
[1,5,4,2,3,6]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)
[1,5,4,2,6,3]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6)
[1,5,4,3,2,6]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)
[1,5,4,3,6,2]=>([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)
[1,5,4,6,2,3]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6)
[1,5,4,6,3,2]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)
[1,5,6,2,3,4]=>([(0,4),(0,5),(3,2),(4,3),(5,1)],6)
[1,5,6,2,4,3]=>([(0,4),(0,5),(4,3),(5,1),(5,2)],6)
[1,5,6,3,2,4]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6)
[1,5,6,3,4,2]=>([(0,3),(0,4),(0,5),(4,2),(5,1)],6)
[1,5,6,4,2,3]=>([(0,3),(0,4),(0,5),(4,2),(5,1)],6)
[1,5,6,4,3,2]=>([(0,2),(0,3),(0,4),(0,5),(5,1)],6)
[1,6,2,3,4,5]=>([(0,2),(0,5),(3,4),(4,1),(5,3)],6)
[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6)
[1,6,2,4,3,5]=>([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6)
[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6)
[1,6,2,5,3,4]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6)
[1,6,2,5,4,3]=>([(0,4),(0,5),(5,1),(5,2),(5,3)],6)
[1,6,3,2,4,5]=>([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6)
[1,6,3,2,5,4]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)
[1,6,3,4,2,5]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)
[1,6,3,4,5,2]=>([(0,2),(0,3),(0,5),(4,1),(5,4)],6)
[1,6,3,5,2,4]=>([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)
[1,6,3,5,4,2]=>([(0,3),(0,4),(0,5),(5,1),(5,2)],6)
[1,6,4,2,3,5]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)
[1,6,4,2,5,3]=>([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)
[1,6,4,3,2,5]=>([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)
[1,6,4,3,5,2]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)
[1,6,4,5,2,3]=>([(0,3),(0,4),(0,5),(4,2),(5,1)],6)
[1,6,4,5,3,2]=>([(0,2),(0,3),(0,4),(0,5),(5,1)],6)
[1,6,5,2,3,4]=>([(0,2),(0,3),(0,5),(4,1),(5,4)],6)
[1,6,5,2,4,3]=>([(0,3),(0,4),(0,5),(5,1),(5,2)],6)
[1,6,5,3,2,4]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)
[1,6,5,3,4,2]=>([(0,2),(0,3),(0,4),(0,5),(5,1)],6)
[1,6,5,4,2,3]=>([(0,2),(0,3),(0,4),(0,5),(5,1)],6)
[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)
[2,1,3,4,5,6]=>([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[2,1,3,4,6,5]=>([(0,5),(1,5),(4,2),(4,3),(5,4)],6)
[2,1,3,5,4,6]=>([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[2,1,3,5,6,4]=>([(0,5),(1,5),(4,2),(5,3),(5,4)],6)
[2,1,3,6,4,5]=>([(0,5),(1,5),(4,2),(5,3),(5,4)],6)
[2,1,3,6,5,4]=>([(0,5),(1,5),(5,2),(5,3),(5,4)],6)
[2,1,4,3,5,6]=>([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6)
[2,1,4,3,6,5]=>([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6)
[2,1,4,5,3,6]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)
[2,1,4,5,6,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6)
[2,1,4,6,3,5]=>([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6)
[2,1,4,6,5,3]=>([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6)
[2,1,5,3,4,6]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)
[2,1,5,3,6,4]=>([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6)
[2,1,5,4,3,6]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)
[2,1,5,4,6,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6)
[2,1,5,6,3,4]=>([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6)
[2,1,5,6,4,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)
[2,1,6,3,4,5]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6)
[2,1,6,3,5,4]=>([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6)
[2,1,6,4,3,5]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6)
[2,1,6,4,5,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)
[2,1,6,5,3,4]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)
[2,1,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)
[2,3,1,4,5,6]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[2,3,1,4,6,5]=>([(0,5),(1,2),(2,5),(5,3),(5,4)],6)
[2,3,1,5,4,6]=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)
[2,3,1,5,6,4]=>([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)
[2,3,1,6,4,5]=>([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)
[2,3,1,6,5,4]=>([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[2,3,4,1,5,6]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[2,3,4,1,6,5]=>([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6)
[2,3,4,5,1,6]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[2,3,4,5,6,1]=>([(1,5),(3,4),(4,2),(5,3)],6)
[2,3,4,6,1,5]=>([(0,5),(1,3),(3,4),(4,2),(4,5)],6)
[2,3,4,6,5,1]=>([(1,4),(4,5),(5,2),(5,3)],6)
[2,3,5,1,4,6]=>([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)
[2,3,5,1,6,4]=>([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)
[2,3,5,4,1,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[2,3,5,4,6,1]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[2,3,5,6,1,4]=>([(0,5),(1,4),(3,2),(4,3),(4,5)],6)
[2,3,5,6,4,1]=>([(1,5),(4,3),(5,2),(5,4)],6)
[2,3,6,1,4,5]=>([(0,5),(1,4),(4,2),(4,5),(5,3)],6)
[2,3,6,1,5,4]=>([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6)
[2,3,6,4,1,5]=>([(0,5),(1,4),(3,5),(4,2),(4,3)],6)
[2,3,6,4,5,1]=>([(1,5),(4,3),(5,2),(5,4)],6)
[2,3,6,5,1,4]=>([(0,5),(1,4),(4,2),(4,3),(4,5)],6)
[2,3,6,5,4,1]=>([(1,5),(5,2),(5,3),(5,4)],6)
[2,4,1,3,5,6]=>([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)
[2,4,1,3,6,5]=>([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6)
[2,4,1,5,3,6]=>([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)
[2,4,1,5,6,3]=>([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)
[2,4,1,6,3,5]=>([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)
[2,4,1,6,5,3]=>([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6)
[2,4,3,1,5,6]=>([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[2,4,3,1,6,5]=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[2,4,3,5,1,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[2,4,3,5,6,1]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[2,4,3,6,1,5]=>([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[2,4,3,6,5,1]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[2,4,5,1,3,6]=>([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
[2,4,5,1,6,3]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6)
[2,4,5,3,1,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)
[2,4,5,3,6,1]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6)
[2,4,5,6,1,3]=>([(0,5),(1,4),(1,5),(3,2),(4,3)],6)
[2,4,5,6,3,1]=>([(1,3),(1,5),(4,2),(5,4)],6)
[2,4,6,1,3,5]=>([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6)
[2,4,6,1,5,3]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6)
[2,4,6,3,1,5]=>([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6)
[2,4,6,3,5,1]=>([(1,3),(1,4),(3,5),(4,2),(4,5)],6)
[2,4,6,5,1,3]=>([(0,5),(1,4),(1,5),(4,2),(4,3)],6)
[2,4,6,5,3,1]=>([(1,4),(1,5),(5,2),(5,3)],6)
[2,5,1,3,4,6]=>([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)
[2,5,1,3,6,4]=>([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)
[2,5,1,4,3,6]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)
[2,5,1,4,6,3]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6)
[2,5,1,6,3,4]=>([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6)
[2,5,1,6,4,3]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6)
[2,5,3,1,4,6]=>([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6)
[2,5,3,1,6,4]=>([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6)
[2,5,3,4,1,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)
[2,5,3,4,6,1]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6)
[2,5,3,6,1,4]=>([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6)
[2,5,3,6,4,1]=>([(1,3),(1,4),(3,5),(4,2),(4,5)],6)
[2,5,4,1,3,6]=>([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)
[2,5,4,1,6,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)
[2,5,4,3,1,6]=>([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)
[2,5,4,3,6,1]=>([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)
[2,5,4,6,1,3]=>([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6)
[2,5,4,6,3,1]=>([(1,2),(1,3),(1,4),(3,5),(4,5)],6)
[2,5,6,1,3,4]=>([(0,5),(1,4),(1,5),(4,2),(5,3)],6)
[2,5,6,1,4,3]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6)
[2,5,6,3,1,4]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)
[2,5,6,3,4,1]=>([(1,4),(1,5),(4,3),(5,2)],6)
[2,5,6,4,1,3]=>([(0,5),(1,3),(1,4),(1,5),(4,2)],6)
[2,5,6,4,3,1]=>([(1,3),(1,4),(1,5),(5,2)],6)
[2,6,1,3,4,5]=>([(0,5),(1,3),(1,5),(4,2),(5,4)],6)
[2,6,1,3,5,4]=>([(0,5),(1,2),(1,5),(5,3),(5,4)],6)
[2,6,1,4,3,5]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6)
[2,6,1,4,5,3]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)
[2,6,1,5,3,4]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)
[2,6,1,5,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)
[2,6,3,1,4,5]=>([(0,5),(1,2),(1,3),(3,5),(5,4)],6)
[2,6,3,1,5,4]=>([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6)
[2,6,3,4,1,5]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)
[2,6,3,4,5,1]=>([(1,3),(1,5),(4,2),(5,4)],6)
[2,6,3,5,1,4]=>([(0,5),(1,3),(1,4),(4,2),(4,5)],6)
[2,6,3,5,4,1]=>([(1,4),(1,5),(5,2),(5,3)],6)
[2,6,4,1,3,5]=>([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6)
[2,6,4,1,5,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)
[2,6,4,3,1,5]=>([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6)
[2,6,4,3,5,1]=>([(1,2),(1,3),(1,4),(3,5),(4,5)],6)
[2,6,4,5,1,3]=>([(0,5),(1,3),(1,4),(1,5),(4,2)],6)
[2,6,4,5,3,1]=>([(1,3),(1,4),(1,5),(5,2)],6)
[2,6,5,1,3,4]=>([(0,5),(1,2),(1,3),(1,5),(5,4)],6)
[2,6,5,1,4,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)
[2,6,5,3,1,4]=>([(0,5),(1,2),(1,3),(1,4),(4,5)],6)
[2,6,5,3,4,1]=>([(1,3),(1,4),(1,5),(5,2)],6)
[2,6,5,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)
[2,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5)],6)
[3,1,2,4,5,6]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[3,1,2,4,6,5]=>([(0,5),(1,2),(2,5),(5,3),(5,4)],6)
[3,1,2,5,4,6]=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)
[3,1,2,5,6,4]=>([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)
[3,1,2,6,4,5]=>([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)
[3,1,2,6,5,4]=>([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[3,1,4,2,5,6]=>([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)
[3,1,4,2,6,5]=>([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6)
[3,1,4,5,2,6]=>([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)
[3,1,4,5,6,2]=>([(0,5),(1,3),(1,5),(4,2),(5,4)],6)
[3,1,4,6,2,5]=>([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)
[3,1,4,6,5,2]=>([(0,5),(1,2),(1,5),(5,3),(5,4)],6)
[3,1,5,2,4,6]=>([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)
[3,1,5,2,6,4]=>([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)
[3,1,5,4,2,6]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)
[3,1,5,4,6,2]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6)
[3,1,5,6,2,4]=>([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6)
[3,1,5,6,4,2]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)
[3,1,6,2,4,5]=>([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)
[3,1,6,2,5,4]=>([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6)
[3,1,6,4,2,5]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6)
[3,1,6,4,5,2]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)
[3,1,6,5,2,4]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6)
[3,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)
[3,2,1,4,5,6]=>([(0,5),(1,5),(2,5),(3,4),(5,3)],6)
[3,2,1,4,6,5]=>([(0,5),(1,5),(2,5),(5,3),(5,4)],6)
[3,2,1,5,4,6]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)
[3,2,1,5,6,4]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)
[3,2,1,6,4,5]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)
[3,2,1,6,5,4]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[3,2,4,1,5,6]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[3,2,4,1,6,5]=>([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,2,4,5,1,6]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[3,2,4,5,6,1]=>([(1,5),(2,5),(3,4),(5,3)],6)
[3,2,4,6,1,5]=>([(0,5),(1,5),(2,4),(5,3),(5,4)],6)
[3,2,4,6,5,1]=>([(1,5),(2,5),(5,3),(5,4)],6)
[3,2,5,1,4,6]=>([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)
[3,2,5,1,6,4]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6)
[3,2,5,4,1,6]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[3,2,5,4,6,1]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[3,2,5,6,1,4]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6)
[3,2,5,6,4,1]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6)
[3,2,6,1,4,5]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)
[3,2,6,1,5,4]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[3,2,6,4,1,5]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6)
[3,2,6,4,5,1]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6)
[3,2,6,5,1,4]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[3,2,6,5,4,1]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[3,4,1,2,5,6]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[3,4,1,2,6,5]=>([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6)
[3,4,1,5,2,6]=>([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)
[3,4,1,5,6,2]=>([(0,4),(1,3),(1,5),(4,5),(5,2)],6)
[3,4,1,6,2,5]=>([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6)
[3,4,1,6,5,2]=>([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6)
[3,4,2,1,5,6]=>([(0,5),(1,5),(2,3),(3,5),(5,4)],6)
[3,4,2,1,6,5]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)
[3,4,2,5,1,6]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[3,4,2,5,6,1]=>([(1,5),(2,3),(3,5),(5,4)],6)
[3,4,2,6,1,5]=>([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)
[3,4,2,6,5,1]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6)
[3,4,5,1,2,6]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,4,5,1,6,2]=>([(0,4),(1,3),(1,5),(2,5),(4,2)],6)
[3,4,5,2,1,6]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,4,5,2,6,1]=>([(1,5),(2,3),(3,4),(4,5)],6)
[3,4,5,6,1,2]=>([(0,5),(1,3),(4,2),(5,4)],6)
[3,4,5,6,2,1]=>([(2,3),(3,5),(5,4)],6)
[3,4,6,1,2,5]=>([(0,3),(1,4),(3,5),(4,2),(4,5)],6)
[3,4,6,1,5,2]=>([(0,4),(1,3),(1,5),(4,2),(4,5)],6)
[3,4,6,2,1,5]=>([(0,5),(1,5),(2,3),(3,4),(3,5)],6)
[3,4,6,2,5,1]=>([(1,5),(2,3),(3,4),(3,5)],6)
[3,4,6,5,1,2]=>([(0,4),(1,5),(5,2),(5,3)],6)
[3,4,6,5,2,1]=>([(2,3),(3,4),(3,5)],6)
[3,5,1,2,4,6]=>([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)
[3,5,1,2,6,4]=>([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6)
[3,5,1,4,2,6]=>([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6)
[3,5,1,4,6,2]=>([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6)
[3,5,1,6,2,4]=>([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6)
[3,5,1,6,4,2]=>([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6)
[3,5,2,1,4,6]=>([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6)
[3,5,2,1,6,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)
[3,5,2,4,1,6]=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[3,5,2,4,6,1]=>([(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[3,5,2,6,1,4]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6)
[3,5,2,6,4,1]=>([(1,4),(1,5),(2,3),(2,4),(3,5)],6)
[3,5,4,1,2,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
[3,5,4,1,6,2]=>([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6)
[3,5,4,2,1,6]=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[3,5,4,2,6,1]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[3,5,4,6,1,2]=>([(0,4),(1,2),(1,3),(2,5),(3,5)],6)
[3,5,4,6,2,1]=>([(2,3),(2,4),(3,5),(4,5)],6)
[3,5,6,1,2,4]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)
[3,5,6,1,4,2]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)
[3,5,6,2,1,4]=>([(0,5),(1,5),(2,3),(2,5),(3,4)],6)
[3,5,6,2,4,1]=>([(1,5),(2,3),(2,5),(3,4)],6)
[3,5,6,4,1,2]=>([(0,4),(1,3),(1,5),(5,2)],6)
[3,5,6,4,2,1]=>([(2,3),(2,4),(4,5)],6)
[3,6,1,2,4,5]=>([(0,4),(1,3),(1,5),(4,5),(5,2)],6)
[3,6,1,2,5,4]=>([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6)
[3,6,1,4,2,5]=>([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6)
[3,6,1,4,5,2]=>([(0,4),(0,5),(1,3),(1,5),(5,2)],6)
[3,6,1,5,2,4]=>([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6)
[3,6,1,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)
[3,6,2,1,4,5]=>([(0,5),(1,5),(2,3),(2,5),(5,4)],6)
[3,6,2,1,5,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[3,6,2,4,1,5]=>([(0,5),(1,4),(2,3),(2,4),(4,5)],6)
[3,6,2,4,5,1]=>([(1,5),(2,3),(2,5),(5,4)],6)
[3,6,2,5,1,4]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[3,6,2,5,4,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[3,6,4,1,2,5]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)
[3,6,4,1,5,2]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)
[3,6,4,2,1,5]=>([(0,5),(1,5),(2,3),(2,4),(4,5)],6)
[3,6,4,2,5,1]=>([(1,5),(2,3),(2,4),(4,5)],6)
[3,6,4,5,1,2]=>([(0,4),(1,3),(1,5),(5,2)],6)
[3,6,4,5,2,1]=>([(2,3),(2,4),(4,5)],6)
[3,6,5,1,2,4]=>([(0,4),(1,2),(1,3),(1,5),(4,5)],6)
[3,6,5,1,4,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5)],6)
[3,6,5,2,1,4]=>([(0,5),(1,5),(2,3),(2,4),(2,5)],6)
[3,6,5,2,4,1]=>([(1,5),(2,3),(2,4),(2,5)],6)
[3,6,5,4,1,2]=>([(0,5),(1,2),(1,3),(1,4)],6)
[3,6,5,4,2,1]=>([(2,3),(2,4),(2,5)],6)
[4,1,2,3,5,6]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[4,1,2,3,6,5]=>([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6)
[4,1,2,5,3,6]=>([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)
[4,1,2,5,6,3]=>([(0,5),(1,4),(4,2),(4,5),(5,3)],6)
[4,1,2,6,3,5]=>([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)
[4,1,2,6,5,3]=>([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6)
[4,1,3,2,5,6]=>([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[4,1,3,2,6,5]=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,1,3,5,2,6]=>([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6)
[4,1,3,5,6,2]=>([(0,5),(1,2),(1,3),(3,5),(5,4)],6)
[4,1,3,6,2,5]=>([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6)
[4,1,3,6,5,2]=>([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6)
[4,1,5,2,3,6]=>([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
[4,1,5,2,6,3]=>([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6)
[4,1,5,3,2,6]=>([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)
[4,1,5,3,6,2]=>([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6)
[4,1,5,6,2,3]=>([(0,5),(1,4),(1,5),(4,2),(5,3)],6)
[4,1,5,6,3,2]=>([(0,5),(1,2),(1,3),(1,5),(5,4)],6)
[4,1,6,2,3,5]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6)
[4,1,6,2,5,3]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6)
[4,1,6,3,2,5]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)
[4,1,6,3,5,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)
[4,1,6,5,2,3]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6)
[4,1,6,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)
[4,2,1,3,5,6]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[4,2,1,3,6,5]=>([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,2,1,5,3,6]=>([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)
[4,2,1,5,6,3]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)
[4,2,1,6,3,5]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6)
[4,2,1,6,5,3]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[4,2,3,1,5,6]=>([(0,5),(1,5),(2,3),(3,5),(5,4)],6)
[4,2,3,1,6,5]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)
[4,2,3,5,1,6]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[4,2,3,5,6,1]=>([(1,5),(2,3),(3,5),(5,4)],6)
[4,2,3,6,1,5]=>([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)
[4,2,3,6,5,1]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6)
[4,2,5,1,3,6]=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)
[4,2,5,1,6,3]=>([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6)
[4,2,5,3,1,6]=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[4,2,5,3,6,1]=>([(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[4,2,5,6,1,3]=>([(0,5),(1,4),(2,4),(2,5),(5,3)],6)
[4,2,5,6,3,1]=>([(1,5),(2,3),(2,5),(5,4)],6)
[4,2,6,1,3,5]=>([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6)
[4,2,6,1,5,3]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6)
[4,2,6,3,1,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)
[4,2,6,3,5,1]=>([(1,4),(1,5),(2,3),(2,4),(3,5)],6)
[4,2,6,5,1,3]=>([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[4,2,6,5,3,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[4,3,1,2,5,6]=>([(0,5),(1,5),(2,3),(3,5),(5,4)],6)
[4,3,1,2,6,5]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)
[4,3,1,5,2,6]=>([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6)
[4,3,1,5,6,2]=>([(0,5),(1,5),(2,3),(2,5),(5,4)],6)
[4,3,1,6,2,5]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)
[4,3,1,6,5,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[4,3,2,1,5,6]=>([(0,5),(1,5),(2,5),(3,5),(5,4)],6)
[4,3,2,1,6,5]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[4,3,2,5,1,6]=>([(0,5),(1,5),(2,5),(3,4),(5,4)],6)
[4,3,2,5,6,1]=>([(1,5),(2,5),(3,5),(5,4)],6)
[4,3,2,6,1,5]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[4,3,2,6,5,1]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[4,3,5,1,2,6]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,3,5,1,6,2]=>([(0,4),(1,4),(2,3),(2,5),(4,5)],6)
[4,3,5,2,1,6]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[4,3,5,2,6,1]=>([(1,5),(2,4),(3,4),(4,5)],6)
[4,3,5,6,1,2]=>([(0,5),(1,5),(2,3),(5,4)],6)
[4,3,5,6,2,1]=>([(2,5),(3,5),(5,4)],6)
[4,3,6,1,2,5]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6)
[4,3,6,1,5,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6)
[4,3,6,2,1,5]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[4,3,6,2,5,1]=>([(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[4,3,6,5,1,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3)],6)
[4,3,6,5,2,1]=>([(2,4),(2,5),(3,4),(3,5)],6)
[4,5,1,2,3,6]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,5,1,2,6,3]=>([(0,3),(1,4),(3,5),(4,2),(4,5)],6)
[4,5,1,3,2,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
[4,5,1,3,6,2]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)
[4,5,1,6,2,3]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)
[4,5,1,6,3,2]=>([(0,4),(1,2),(1,3),(1,5),(4,5)],6)
[4,5,2,1,3,6]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,5,2,1,6,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6)
[4,5,2,3,1,6]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[4,5,2,3,6,1]=>([(1,4),(2,3),(3,5),(4,5)],6)
[4,5,2,6,1,3]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)
[4,5,2,6,3,1]=>([(1,4),(2,3),(2,5),(4,5)],6)
[4,5,3,1,2,6]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[4,5,3,1,6,2]=>([(0,5),(1,4),(2,3),(2,5),(4,5)],6)
[4,5,3,2,1,6]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[4,5,3,2,6,1]=>([(1,5),(2,5),(3,4),(4,5)],6)
[4,5,3,6,1,2]=>([(0,5),(1,3),(2,4),(4,5)],6)
[4,5,3,6,2,1]=>([(2,5),(3,4),(4,5)],6)
[4,5,6,1,2,3]=>([(0,5),(1,4),(4,2),(5,3)],6)
[4,5,6,1,3,2]=>([(0,5),(1,3),(1,4),(5,2)],6)
[4,5,6,2,1,3]=>([(0,5),(1,5),(2,3),(3,4)],6)
[4,5,6,2,3,1]=>([(1,3),(2,4),(4,5)],6)
[4,5,6,3,1,2]=>([(1,3),(2,4),(4,5)],6)
[4,5,6,3,2,1]=>([(3,4),(4,5)],6)
[4,6,1,2,3,5]=>([(0,4),(1,3),(1,5),(2,5),(4,2)],6)
[4,6,1,2,5,3]=>([(0,4),(1,3),(1,5),(4,2),(4,5)],6)
[4,6,1,3,2,5]=>([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6)
[4,6,1,3,5,2]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)
[4,6,1,5,2,3]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)
[4,6,1,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5)],6)
[4,6,2,1,3,5]=>([(0,4),(1,4),(2,3),(2,5),(4,5)],6)
[4,6,2,1,5,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6)
[4,6,2,3,1,5]=>([(0,5),(1,4),(2,3),(2,5),(4,5)],6)
[4,6,2,3,5,1]=>([(1,4),(2,3),(2,5),(4,5)],6)
[4,6,2,5,1,3]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)
[4,6,2,5,3,1]=>([(1,4),(1,5),(2,3),(2,5)],6)
[4,6,3,1,2,5]=>([(0,5),(1,4),(2,3),(2,5),(4,5)],6)
[4,6,3,1,5,2]=>([(0,5),(1,4),(1,5),(2,3),(2,5)],6)
[4,6,3,2,1,5]=>([(0,5),(1,5),(2,5),(3,4),(3,5)],6)
[4,6,3,2,5,1]=>([(1,5),(2,5),(3,4),(3,5)],6)
[4,6,3,5,1,2]=>([(0,5),(1,3),(2,4),(2,5)],6)
[4,6,3,5,2,1]=>([(2,5),(3,4),(3,5)],6)
[4,6,5,1,2,3]=>([(0,5),(1,3),(1,4),(5,2)],6)
[4,6,5,1,3,2]=>([(0,4),(0,5),(1,2),(1,3)],6)
[4,6,5,2,1,3]=>([(0,5),(1,5),(2,3),(2,4)],6)
[4,6,5,2,3,1]=>([(1,5),(2,3),(2,4)],6)
[4,6,5,3,1,2]=>([(1,5),(2,3),(2,4)],6)
[4,6,5,3,2,1]=>([(3,4),(3,5)],6)
[5,1,2,3,4,6]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[5,1,2,3,6,4]=>([(0,5),(1,3),(3,4),(4,2),(4,5)],6)
[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[5,1,2,4,6,3]=>([(0,5),(1,4),(3,5),(4,2),(4,3)],6)
[5,1,2,6,3,4]=>([(0,5),(1,4),(3,2),(4,3),(4,5)],6)
[5,1,2,6,4,3]=>([(0,5),(1,4),(4,2),(4,3),(4,5)],6)
[5,1,3,2,4,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[5,1,3,2,6,4]=>([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)
[5,1,3,4,6,2]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)
[5,1,3,6,2,4]=>([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6)
[5,1,3,6,4,2]=>([(0,5),(1,3),(1,4),(4,2),(4,5)],6)
[5,1,4,2,3,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)
[5,1,4,2,6,3]=>([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6)
[5,1,4,3,2,6]=>([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)
[5,1,4,3,6,2]=>([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6)
[5,1,4,6,2,3]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)
[5,1,4,6,3,2]=>([(0,5),(1,2),(1,3),(1,4),(4,5)],6)
[5,1,6,2,3,4]=>([(0,5),(1,4),(1,5),(3,2),(4,3)],6)
[5,1,6,2,4,3]=>([(0,5),(1,4),(1,5),(4,2),(4,3)],6)
[5,1,6,3,2,4]=>([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6)
[5,1,6,3,4,2]=>([(0,5),(1,3),(1,4),(1,5),(4,2)],6)
[5,1,6,4,2,3]=>([(0,5),(1,3),(1,4),(1,5),(4,2)],6)
[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)
[5,2,1,3,4,6]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[5,2,1,3,6,4]=>([(0,5),(1,5),(2,4),(5,3),(5,4)],6)
[5,2,1,4,3,6]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[5,2,1,4,6,3]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6)
[5,2,1,6,3,4]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6)
[5,2,1,6,4,3]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[5,2,3,1,4,6]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,2,3,1,6,4]=>([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)
[5,2,3,4,1,6]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[5,2,3,4,6,1]=>([(1,5),(2,3),(3,4),(4,5)],6)
[5,2,3,6,1,4]=>([(0,5),(1,4),(2,3),(3,4),(3,5)],6)
[5,2,3,6,4,1]=>([(1,5),(2,3),(3,4),(3,5)],6)
[5,2,4,1,3,6]=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[5,2,4,1,6,3]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)
[5,2,4,3,1,6]=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[5,2,4,3,6,1]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[5,2,4,6,1,3]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,2,4,6,3,1]=>([(1,5),(2,3),(2,4),(4,5)],6)
[5,2,6,1,3,4]=>([(0,5),(1,4),(2,4),(2,5),(5,3)],6)
[5,2,6,1,4,3]=>([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[5,2,6,3,1,4]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,2,6,3,4,1]=>([(1,5),(2,3),(2,5),(3,4)],6)
[5,2,6,4,1,3]=>([(0,5),(1,4),(2,3),(2,4),(2,5)],6)
[5,2,6,4,3,1]=>([(1,5),(2,3),(2,4),(2,5)],6)
[5,3,1,2,4,6]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,3,1,2,6,4]=>([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)
[5,3,1,4,2,6]=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[5,3,1,4,6,2]=>([(0,5),(1,4),(2,3),(2,4),(4,5)],6)
[5,3,1,6,2,4]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6)
[5,3,1,6,4,2]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[5,3,2,1,4,6]=>([(0,5),(1,5),(2,5),(3,4),(5,4)],6)
[5,3,2,1,6,4]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[5,3,2,4,1,6]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[5,3,2,4,6,1]=>([(1,5),(2,4),(3,4),(4,5)],6)
[5,3,2,6,1,4]=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
[5,3,2,6,4,1]=>([(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[5,3,4,1,2,6]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,3,4,1,6,2]=>([(0,5),(1,4),(2,3),(2,5),(4,5)],6)
[5,3,4,2,1,6]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[5,3,4,2,6,1]=>([(1,5),(2,5),(3,4),(4,5)],6)
[5,3,4,6,1,2]=>([(0,5),(1,3),(2,4),(4,5)],6)
[5,3,4,6,2,1]=>([(2,5),(3,4),(4,5)],6)
[5,3,6,1,2,4]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)
[5,3,6,1,4,2]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)
[5,3,6,2,1,4]=>([(0,5),(1,5),(2,4),(3,4),(3,5)],6)
[5,3,6,2,4,1]=>([(1,5),(2,4),(3,4),(3,5)],6)
[5,3,6,4,1,2]=>([(0,5),(1,3),(2,4),(2,5)],6)
[5,3,6,4,2,1]=>([(2,5),(3,4),(3,5)],6)
[5,4,1,2,3,6]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[5,4,1,2,6,3]=>([(0,5),(1,5),(2,3),(3,4),(3,5)],6)
[5,4,1,3,2,6]=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[5,4,1,3,6,2]=>([(0,5),(1,5),(2,3),(2,4),(4,5)],6)
[5,4,1,6,2,3]=>([(0,5),(1,5),(2,3),(2,5),(3,4)],6)
[5,4,1,6,3,2]=>([(0,5),(1,5),(2,3),(2,4),(2,5)],6)
[5,4,2,1,3,6]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[5,4,2,1,6,3]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[5,4,2,3,1,6]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[5,4,2,3,6,1]=>([(1,5),(2,5),(3,4),(4,5)],6)
[5,4,2,6,1,3]=>([(0,5),(1,5),(2,4),(3,4),(3,5)],6)
[5,4,2,6,3,1]=>([(1,5),(2,5),(3,4),(3,5)],6)
[5,4,3,1,2,6]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[5,4,3,1,6,2]=>([(0,5),(1,5),(2,5),(3,4),(3,5)],6)
[5,4,3,2,1,6]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[5,4,3,2,6,1]=>([(1,5),(2,5),(3,5),(4,5)],6)
[5,4,3,6,1,2]=>([(0,5),(1,5),(2,5),(3,4)],6)
[5,4,3,6,2,1]=>([(2,5),(3,5),(4,5)],6)
[5,4,6,1,2,3]=>([(0,5),(1,5),(2,3),(3,4)],6)
[5,4,6,1,3,2]=>([(0,5),(1,5),(2,3),(2,4)],6)
[5,4,6,2,1,3]=>([(0,5),(1,5),(2,4),(3,4)],6)
[5,4,6,2,3,1]=>([(1,5),(2,5),(3,4)],6)
[5,4,6,3,1,2]=>([(1,5),(2,5),(3,4)],6)
[5,4,6,3,2,1]=>([(3,5),(4,5)],6)
[5,6,1,2,3,4]=>([(0,5),(1,3),(4,2),(5,4)],6)
[5,6,1,2,4,3]=>([(0,4),(1,5),(5,2),(5,3)],6)
[5,6,1,3,2,4]=>([(0,4),(1,2),(1,3),(2,5),(3,5)],6)
[5,6,1,3,4,2]=>([(0,4),(1,3),(1,5),(5,2)],6)
[5,6,1,4,2,3]=>([(0,4),(1,3),(1,5),(5,2)],6)
[5,6,1,4,3,2]=>([(0,5),(1,2),(1,3),(1,4)],6)
[5,6,2,1,3,4]=>([(0,5),(1,5),(2,3),(5,4)],6)
[5,6,2,1,4,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3)],6)
[5,6,2,3,1,4]=>([(0,5),(1,3),(2,4),(4,5)],6)
[5,6,2,3,4,1]=>([(1,3),(2,4),(4,5)],6)
[5,6,2,4,1,3]=>([(0,5),(1,3),(2,4),(2,5)],6)
[5,6,2,4,3,1]=>([(1,5),(2,3),(2,4)],6)
[5,6,3,1,2,4]=>([(0,5),(1,3),(2,4),(4,5)],6)
[5,6,3,1,4,2]=>([(0,5),(1,3),(2,4),(2,5)],6)
[5,6,3,2,1,4]=>([(0,5),(1,5),(2,5),(3,4)],6)
[5,6,3,2,4,1]=>([(1,5),(2,5),(3,4)],6)
[5,6,3,4,1,2]=>([(0,5),(1,4),(2,3)],6)
[5,6,3,4,2,1]=>([(2,5),(3,4)],6)
[5,6,4,1,2,3]=>([(1,3),(2,4),(4,5)],6)
[5,6,4,1,3,2]=>([(1,5),(2,3),(2,4)],6)
[5,6,4,2,1,3]=>([(1,5),(2,5),(3,4)],6)
[5,6,4,2,3,1]=>([(2,5),(3,4)],6)
[5,6,4,3,1,2]=>([(2,5),(3,4)],6)
[5,6,4,3,2,1]=>([(4,5)],6)
[6,1,2,3,4,5]=>([(1,5),(3,4),(4,2),(5,3)],6)
[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6)
[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6)
[6,1,2,5,3,4]=>([(1,5),(4,3),(5,2),(5,4)],6)
[6,1,2,5,4,3]=>([(1,5),(5,2),(5,3),(5,4)],6)
[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6)
[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6)
[6,1,3,5,2,4]=>([(1,3),(1,4),(3,5),(4,2),(4,5)],6)
[6,1,3,5,4,2]=>([(1,4),(1,5),(5,2),(5,3)],6)
[6,1,4,2,3,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6)
[6,1,4,2,5,3]=>([(1,3),(1,4),(3,5),(4,2),(4,5)],6)
[6,1,4,3,2,5]=>([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)
[6,1,4,3,5,2]=>([(1,2),(1,3),(1,4),(3,5),(4,5)],6)
[6,1,4,5,2,3]=>([(1,4),(1,5),(4,3),(5,2)],6)
[6,1,4,5,3,2]=>([(1,3),(1,4),(1,5),(5,2)],6)
[6,1,5,2,3,4]=>([(1,3),(1,5),(4,2),(5,4)],6)
[6,1,5,2,4,3]=>([(1,4),(1,5),(5,2),(5,3)],6)
[6,1,5,3,2,4]=>([(1,2),(1,3),(1,4),(3,5),(4,5)],6)
[6,1,5,3,4,2]=>([(1,3),(1,4),(1,5),(5,2)],6)
[6,1,5,4,2,3]=>([(1,3),(1,4),(1,5),(5,2)],6)
[6,1,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5)],6)
[6,2,1,3,4,5]=>([(1,5),(2,5),(3,4),(5,3)],6)
[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6)
[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6)
[6,2,1,5,3,4]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6)
[6,2,1,5,4,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[6,2,3,1,4,5]=>([(1,5),(2,3),(3,5),(5,4)],6)
[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6)
[6,2,3,4,1,5]=>([(1,5),(2,3),(3,4),(4,5)],6)
[6,2,3,4,5,1]=>([(2,3),(3,5),(5,4)],6)
[6,2,3,5,1,4]=>([(1,5),(2,3),(3,4),(3,5)],6)
[6,2,3,5,4,1]=>([(2,3),(3,4),(3,5)],6)
[6,2,4,1,3,5]=>([(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[6,2,4,1,5,3]=>([(1,4),(1,5),(2,3),(2,4),(3,5)],6)
[6,2,4,3,1,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[6,2,4,3,5,1]=>([(2,3),(2,4),(3,5),(4,5)],6)
[6,2,4,5,1,3]=>([(1,5),(2,3),(2,5),(3,4)],6)
[6,2,4,5,3,1]=>([(2,3),(2,4),(4,5)],6)
[6,2,5,1,3,4]=>([(1,5),(2,3),(2,5),(5,4)],6)
[6,2,5,1,4,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[6,2,5,3,1,4]=>([(1,5),(2,3),(2,4),(4,5)],6)
[6,2,5,3,4,1]=>([(2,3),(2,4),(4,5)],6)
[6,2,5,4,1,3]=>([(1,5),(2,3),(2,4),(2,5)],6)
[6,2,5,4,3,1]=>([(2,3),(2,4),(2,5)],6)
[6,3,1,2,4,5]=>([(1,5),(2,3),(3,5),(5,4)],6)
[6,3,1,2,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6)
[6,3,1,4,2,5]=>([(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[6,3,1,4,5,2]=>([(1,5),(2,3),(2,5),(5,4)],6)
[6,3,1,5,2,4]=>([(1,4),(1,5),(2,3),(2,4),(3,5)],6)
[6,3,1,5,4,2]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[6,3,2,1,4,5]=>([(1,5),(2,5),(3,5),(5,4)],6)
[6,3,2,1,5,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[6,3,2,4,1,5]=>([(1,5),(2,4),(3,4),(4,5)],6)
[6,3,2,4,5,1]=>([(2,5),(3,5),(5,4)],6)
[6,3,2,5,1,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[6,3,2,5,4,1]=>([(2,4),(2,5),(3,4),(3,5)],6)
[6,3,4,1,2,5]=>([(1,4),(2,3),(3,5),(4,5)],6)
[6,3,4,1,5,2]=>([(1,4),(2,3),(2,5),(4,5)],6)
[6,3,4,2,1,5]=>([(1,5),(2,5),(3,4),(4,5)],6)
[6,3,4,2,5,1]=>([(2,5),(3,4),(4,5)],6)
[6,3,4,5,1,2]=>([(1,3),(2,4),(4,5)],6)
[6,3,4,5,2,1]=>([(3,4),(4,5)],6)
[6,3,5,1,2,4]=>([(1,4),(2,3),(2,5),(4,5)],6)
[6,3,5,1,4,2]=>([(1,4),(1,5),(2,3),(2,5)],6)
[6,3,5,2,1,4]=>([(1,5),(2,5),(3,4),(3,5)],6)
[6,3,5,2,4,1]=>([(2,5),(3,4),(3,5)],6)
[6,3,5,4,1,2]=>([(1,5),(2,3),(2,4)],6)
[6,3,5,4,2,1]=>([(3,4),(3,5)],6)
[6,4,1,2,3,5]=>([(1,5),(2,3),(3,4),(4,5)],6)
[6,4,1,2,5,3]=>([(1,5),(2,3),(3,4),(3,5)],6)
[6,4,1,3,2,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[6,4,1,3,5,2]=>([(1,5),(2,3),(2,4),(4,5)],6)
[6,4,1,5,2,3]=>([(1,5),(2,3),(2,5),(3,4)],6)
[6,4,1,5,3,2]=>([(1,5),(2,3),(2,4),(2,5)],6)
[6,4,2,1,3,5]=>([(1,5),(2,4),(3,4),(4,5)],6)
[6,4,2,1,5,3]=>([(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[6,4,2,3,1,5]=>([(1,5),(2,5),(3,4),(4,5)],6)
[6,4,2,3,5,1]=>([(2,5),(3,4),(4,5)],6)
[6,4,2,5,1,3]=>([(1,5),(2,4),(3,4),(3,5)],6)
[6,4,2,5,3,1]=>([(2,5),(3,4),(3,5)],6)
[6,4,3,1,2,5]=>([(1,5),(2,5),(3,4),(4,5)],6)
[6,4,3,1,5,2]=>([(1,5),(2,5),(3,4),(3,5)],6)
[6,4,3,2,1,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[6,4,3,2,5,1]=>([(2,5),(3,5),(4,5)],6)
[6,4,3,5,1,2]=>([(1,5),(2,5),(3,4)],6)
[6,4,3,5,2,1]=>([(3,5),(4,5)],6)
[6,4,5,1,2,3]=>([(1,3),(2,4),(4,5)],6)
[6,4,5,1,3,2]=>([(1,5),(2,3),(2,4)],6)
[6,4,5,2,1,3]=>([(1,5),(2,5),(3,4)],6)
[6,4,5,2,3,1]=>([(2,5),(3,4)],6)
[6,4,5,3,1,2]=>([(2,5),(3,4)],6)
[6,4,5,3,2,1]=>([(4,5)],6)
[6,5,1,2,3,4]=>([(2,3),(3,5),(5,4)],6)
[6,5,1,2,4,3]=>([(2,3),(3,4),(3,5)],6)
[6,5,1,3,2,4]=>([(2,3),(2,4),(3,5),(4,5)],6)
[6,5,1,3,4,2]=>([(2,3),(2,4),(4,5)],6)
[6,5,1,4,2,3]=>([(2,3),(2,4),(4,5)],6)
[6,5,1,4,3,2]=>([(2,3),(2,4),(2,5)],6)
[6,5,2,1,3,4]=>([(2,5),(3,5),(5,4)],6)
[6,5,2,1,4,3]=>([(2,4),(2,5),(3,4),(3,5)],6)
[6,5,2,3,1,4]=>([(2,5),(3,4),(4,5)],6)
[6,5,2,3,4,1]=>([(3,4),(4,5)],6)
[6,5,2,4,1,3]=>([(2,5),(3,4),(3,5)],6)
[6,5,2,4,3,1]=>([(3,4),(3,5)],6)
[6,5,3,1,2,4]=>([(2,5),(3,4),(4,5)],6)
[6,5,3,1,4,2]=>([(2,5),(3,4),(3,5)],6)
[6,5,3,2,1,4]=>([(2,5),(3,5),(4,5)],6)
[6,5,3,2,4,1]=>([(3,5),(4,5)],6)
[6,5,3,4,1,2]=>([(2,5),(3,4)],6)
[6,5,3,4,2,1]=>([(4,5)],6)
[6,5,4,1,2,3]=>([(3,4),(4,5)],6)
[6,5,4,1,3,2]=>([(3,4),(3,5)],6)
[6,5,4,2,1,3]=>([(3,5),(4,5)],6)
[6,5,4,2,3,1]=>([(4,5)],6)
[6,5,4,3,1,2]=>([(4,5)],6)
[6,5,4,3,2,1]=>([],6)
[1,2,3,4,5,6,7]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,3,4,5,7,6]=>([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7)
[1,2,3,4,6,5,7]=>([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)
[1,2,3,4,6,7,5]=>([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7)
[1,2,3,4,7,5,6]=>([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7)
[1,2,3,4,7,6,5]=>([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7)
[1,2,3,5,4,6,7]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
[1,2,3,5,4,7,6]=>([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,1),(4,2)],7)
[1,2,3,5,6,4,7]=>([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7)
[1,2,3,5,6,7,4]=>([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7)
[1,2,3,5,7,4,6]=>([(0,4),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3)],7)
[1,2,3,5,7,6,4]=>([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7)
[1,2,3,6,4,5,7]=>([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7)
[1,2,3,6,4,7,5]=>([(0,4),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3)],7)
[1,2,3,6,5,4,7]=>([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)
[1,2,3,6,5,7,4]=>([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)
[1,2,3,6,7,4,5]=>([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7)
[1,2,3,6,7,5,4]=>([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7)
[1,2,3,7,4,5,6]=>([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7)
[1,2,3,7,4,6,5]=>([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7)
[1,2,3,7,5,4,6]=>([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)
[1,2,3,7,5,6,4]=>([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7)
[1,2,3,7,6,4,5]=>([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7)
[1,2,3,7,6,5,4]=>([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7)
[1,2,4,3,5,6,7]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
[1,2,4,3,5,7,6]=>([(0,5),(1,6),(2,6),(5,1),(5,2),(6,3),(6,4)],7)
[1,2,4,3,6,5,7]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2),(4,6),(5,6)],7)
[1,2,4,3,6,7,5]=>([(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(6,1)],7)
[1,2,4,3,7,5,6]=>([(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(6,1)],7)
[1,2,4,3,7,6,5]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1),(3,2)],7)
[1,2,4,5,3,6,7]=>([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7)
[1,2,4,5,3,7,6]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1),(4,3)],7)
[1,2,4,5,6,3,7]=>([(0,5),(1,6),(2,6),(3,4),(4,2),(5,1),(5,3)],7)
[1,2,4,5,6,7,3]=>([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7)
[1,2,4,5,7,3,6]=>([(0,5),(2,6),(3,4),(4,1),(4,6),(5,2),(5,3)],7)
[1,2,4,5,7,6,3]=>([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7)
[1,2,4,6,3,5,7]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[1,2,4,6,3,7,5]=>([(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,2),(4,3)],7)
[1,2,4,6,5,3,7]=>([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)
[1,2,4,6,5,7,3]=>([(0,5),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)
[1,2,4,6,7,3,5]=>([(0,5),(2,6),(3,1),(4,3),(4,6),(5,2),(5,4)],7)
[1,2,4,6,7,5,3]=>([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7)
[1,2,4,7,3,5,6]=>([(0,5),(2,6),(4,1),(4,6),(5,2),(5,4),(6,3)],7)
[1,2,4,7,3,6,5]=>([(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,2),(4,3)],7)
[1,2,4,7,5,3,6]=>([(0,5),(2,6),(3,6),(4,1),(4,3),(5,2),(5,4)],7)
[1,2,4,7,5,6,3]=>([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7)
[1,2,4,7,6,3,5]=>([(0,5),(3,6),(4,1),(4,2),(4,6),(5,3),(5,4)],7)
[1,2,4,7,6,5,3]=>([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7)
[1,2,5,3,4,6,7]=>([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7)
[1,2,5,3,4,7,6]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1),(4,3)],7)
[1,2,5,3,6,4,7]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[1,2,5,3,6,7,4]=>([(0,5),(2,6),(4,1),(4,6),(5,2),(5,4),(6,3)],7)
[1,2,5,3,7,4,6]=>([(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,2),(4,3)],7)
[1,2,5,3,7,6,4]=>([(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,2),(4,3)],7)
[1,2,5,4,3,6,7]=>([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7)
[1,2,5,4,3,7,6]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)
[1,2,5,4,6,3,7]=>([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7)
[1,2,5,4,6,7,3]=>([(0,5),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7)
[1,2,5,4,7,3,6]=>([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)
[1,2,5,4,7,6,3]=>([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)
[1,2,5,6,3,4,7]=>([(0,5),(1,6),(2,6),(3,2),(4,1),(5,3),(5,4)],7)
[1,2,5,6,3,7,4]=>([(0,5),(2,6),(3,2),(4,1),(4,6),(5,3),(5,4)],7)
[1,2,5,6,4,3,7]=>([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)
[1,2,5,6,4,7,3]=>([(0,5),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)
[1,2,5,6,7,3,4]=>([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7)
[1,2,5,6,7,4,3]=>([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7)
[1,2,5,7,3,4,6]=>([(0,5),(2,6),(3,2),(4,1),(4,6),(5,3),(5,4)],7)
[1,2,5,7,3,6,4]=>([(0,5),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4)],7)
[1,2,5,7,4,3,6]=>([(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3),(5,4)],7)
[1,2,5,7,4,6,3]=>([(0,5),(3,6),(4,2),(4,6),(5,1),(5,3),(5,4)],7)
[1,2,5,7,6,3,4]=>([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7)
[1,2,5,7,6,4,3]=>([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7)
[1,2,6,3,4,5,7]=>([(0,5),(1,6),(2,6),(3,4),(4,2),(5,1),(5,3)],7)
[1,2,6,3,4,7,5]=>([(0,5),(2,6),(3,4),(4,1),(4,6),(5,2),(5,3)],7)
[1,2,6,3,5,4,7]=>([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)
[1,2,6,3,5,7,4]=>([(0,5),(2,6),(3,6),(4,1),(4,3),(5,2),(5,4)],7)
[1,2,6,3,7,4,5]=>([(0,5),(2,6),(3,1),(4,3),(4,6),(5,2),(5,4)],7)
[1,2,6,3,7,5,4]=>([(0,5),(3,6),(4,1),(4,2),(4,6),(5,3),(5,4)],7)
[1,2,6,4,3,5,7]=>([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7)
[1,2,6,4,3,7,5]=>([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)
[1,2,6,4,5,3,7]=>([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)
[1,2,6,4,5,7,3]=>([(0,5),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)
[1,2,6,4,7,3,5]=>([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3)],7)
[1,2,6,4,7,5,3]=>([(0,5),(3,6),(4,2),(4,6),(5,1),(5,3),(5,4)],7)
[1,2,6,5,3,4,7]=>([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)
[1,2,6,5,3,7,4]=>([(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3),(5,4)],7)
[1,2,6,5,4,3,7]=>([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)
[1,2,6,5,4,7,3]=>([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)
[1,2,6,5,7,3,4]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(5,4)],7)
[1,2,6,5,7,4,3]=>([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)
[1,2,6,7,3,4,5]=>([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7)
[1,2,6,7,3,5,4]=>([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7)
[1,2,6,7,4,3,5]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(5,4)],7)
[1,2,6,7,4,5,3]=>([(0,6),(4,3),(5,2),(6,1),(6,4),(6,5)],7)
[1,2,6,7,5,3,4]=>([(0,6),(4,3),(5,2),(6,1),(6,4),(6,5)],7)
[1,2,6,7,5,4,3]=>([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7)
[1,2,7,3,4,5,6]=>([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7)
[1,2,7,3,4,6,5]=>([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7)
[1,2,7,3,5,4,6]=>([(0,5),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)
[1,2,7,3,5,6,4]=>([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7)
[1,2,7,3,6,4,5]=>([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7)
[1,2,7,3,6,5,4]=>([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7)
[1,2,7,4,3,5,6]=>([(0,5),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7)
[1,2,7,4,3,6,5]=>([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)
[1,2,7,4,5,3,6]=>([(0,5),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)
[1,2,7,4,5,6,3]=>([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7)
[1,2,7,4,6,3,5]=>([(0,5),(3,6),(4,2),(4,6),(5,1),(5,3),(5,4)],7)
[1,2,7,4,6,5,3]=>([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7)
[1,2,7,5,3,4,6]=>([(0,5),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)
[1,2,7,5,3,6,4]=>([(0,5),(3,6),(4,2),(4,6),(5,1),(5,3),(5,4)],7)
[1,2,7,5,4,3,6]=>([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)
[1,2,7,5,4,6,3]=>([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)
[1,2,7,5,6,3,4]=>([(0,6),(4,3),(5,2),(6,1),(6,4),(6,5)],7)
[1,2,7,5,6,4,3]=>([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7)
[1,2,7,6,3,4,5]=>([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7)
[1,2,7,6,3,5,4]=>([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7)
[1,2,7,6,4,3,5]=>([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)
[1,2,7,6,4,5,3]=>([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7)
[1,2,7,6,5,3,4]=>([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7)
[1,2,7,6,5,4,3]=>([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)
[1,3,2,4,5,6,7]=>([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)
[1,3,2,4,5,7,6]=>([(0,3),(0,4),(3,6),(4,6),(5,1),(5,2),(6,5)],7)
[1,3,2,4,6,5,7]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
[1,3,2,4,6,7,5]=>([(0,3),(0,4),(3,6),(4,6),(5,1),(6,2),(6,5)],7)
[1,3,2,4,7,5,6]=>([(0,3),(0,4),(3,6),(4,6),(5,1),(6,2),(6,5)],7)
[1,3,2,4,7,6,5]=>([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7)
[1,3,2,5,4,6,7]=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7)
[1,3,2,5,4,7,6]=>([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)
[1,3,2,5,6,4,7]=>([(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1)],7)
[1,3,2,5,6,7,4]=>([(0,2),(0,3),(2,5),(2,6),(3,5),(3,6),(4,1),(6,4)],7)
[1,3,2,5,7,4,6]=>([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7)
[1,3,2,5,7,6,4]=>([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7)
[1,3,2,6,4,5,7]=>([(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1)],7)
[1,3,2,6,4,7,5]=>([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7)
[1,3,2,6,5,4,7]=>([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[1,3,2,6,5,7,4]=>([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)
[1,3,2,6,7,4,5]=>([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7)
[1,3,2,6,7,5,4]=>([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7)
[1,3,2,7,4,5,6]=>([(0,2),(0,3),(2,5),(2,6),(3,5),(3,6),(4,1),(6,4)],7)
[1,3,2,7,4,6,5]=>([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7)
[1,3,2,7,5,4,6]=>([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)
[1,3,2,7,5,6,4]=>([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7)
[1,3,2,7,6,4,5]=>([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7)
[1,3,2,7,6,5,4]=>([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[1,3,4,2,5,6,7]=>([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7)
[1,3,4,2,5,7,6]=>([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7)
[1,3,4,2,6,5,7]=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(4,6),(5,6)],7)
[1,3,4,2,6,7,5]=>([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(6,1)],7)
[1,3,4,2,7,5,6]=>([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(6,1)],7)
[1,3,4,2,7,6,5]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1)],7)
[1,3,4,5,2,6,7]=>([(0,3),(0,5),(1,6),(3,6),(4,1),(5,4),(6,2)],7)
[1,3,4,5,2,7,6]=>([(0,2),(0,4),(1,5),(1,6),(2,5),(2,6),(3,1),(4,3)],7)
[1,3,4,5,6,2,7]=>([(0,2),(0,5),(1,6),(2,6),(3,4),(4,1),(5,3)],7)
[1,3,4,5,6,7,2]=>([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7)
[1,3,4,5,7,2,6]=>([(0,2),(0,5),(2,6),(3,4),(4,1),(4,6),(5,3)],7)
[1,3,4,5,7,6,2]=>([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7)
[1,3,4,6,2,5,7]=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7)
[1,3,4,6,2,7,5]=>([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,3)],7)
[1,3,4,6,5,2,7]=>([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7)
[1,3,4,6,5,7,2]=>([(0,3),(0,4),(1,6),(2,6),(4,5),(5,1),(5,2)],7)
[1,3,4,6,7,2,5]=>([(0,2),(0,5),(2,6),(3,1),(4,3),(4,6),(5,4)],7)
[1,3,4,6,7,5,2]=>([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7)
[1,3,4,7,2,5,6]=>([(0,3),(0,5),(3,6),(4,1),(4,6),(5,4),(6,2)],7)
[1,3,4,7,2,6,5]=>([(0,2),(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,3)],7)
[1,3,4,7,5,2,6]=>([(0,3),(0,4),(2,6),(3,6),(4,5),(5,1),(5,2)],7)
[1,3,4,7,5,6,2]=>([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7)
[1,3,4,7,6,2,5]=>([(0,3),(0,4),(3,6),(4,5),(5,1),(5,2),(5,6)],7)
[1,3,4,7,6,5,2]=>([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7)
[1,3,5,2,4,6,7]=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
[1,3,5,2,4,7,6]=>([(0,2),(0,3),(1,5),(1,6),(2,4),(3,1),(3,4),(4,5),(4,6)],7)
[1,3,5,2,6,4,7]=>([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5),(4,6),(5,6)],7)
[1,3,5,2,6,7,4]=>([(0,3),(0,4),(2,6),(3,5),(3,6),(4,2),(4,5),(6,1)],7)
[1,3,5,2,7,4,6]=>([(0,2),(0,3),(1,4),(1,6),(2,4),(2,5),(3,1),(3,5),(5,6)],7)
[1,3,5,2,7,6,4]=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,1),(3,6)],7)
[1,3,5,4,2,6,7]=>([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7)
[1,3,5,4,2,7,6]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)
[1,3,5,4,6,2,7]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)
[1,3,5,4,6,7,2]=>([(0,4),(0,5),(1,6),(2,6),(5,1),(5,2),(6,3)],7)
[1,3,5,4,7,2,6]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7)
[1,3,5,4,7,6,2]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7)
[1,3,5,6,2,4,7]=>([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7)
[1,3,5,6,2,7,4]=>([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(4,3),(4,6)],7)
[1,3,5,6,4,2,7]=>([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7)
[1,3,5,6,4,7,2]=>([(0,3),(0,5),(1,6),(2,6),(4,2),(5,1),(5,4)],7)
[1,3,5,6,7,2,4]=>([(0,2),(0,5),(2,6),(3,4),(4,1),(5,3),(5,6)],7)
[1,3,5,6,7,4,2]=>([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7)
[1,3,5,7,2,4,6]=>([(0,2),(0,4),(2,5),(3,1),(3,6),(4,3),(4,5),(5,6)],7)
[1,3,5,7,2,6,4]=>([(0,2),(0,4),(2,5),(2,6),(3,1),(3,6),(4,3),(4,5)],7)
[1,3,5,7,4,2,6]=>([(0,3),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,4)],7)
[1,3,5,7,4,6,2]=>([(0,3),(0,5),(2,6),(4,1),(4,6),(5,2),(5,4)],7)
[1,3,5,7,6,2,4]=>([(0,3),(0,4),(3,6),(4,5),(4,6),(5,1),(5,2)],7)
[1,3,5,7,6,4,2]=>([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7)
[1,3,6,2,4,5,7]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)
[1,3,6,2,4,7,5]=>([(0,3),(0,4),(2,5),(3,6),(4,2),(4,6),(6,1),(6,5)],7)
[1,3,6,2,5,4,7]=>([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)
[1,3,6,2,5,7,4]=>([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(5,6)],7)
[1,3,6,2,7,4,5]=>([(0,3),(0,4),(2,5),(3,5),(3,6),(4,2),(4,6),(6,1)],7)
[1,3,6,2,7,5,4]=>([(0,2),(0,3),(1,4),(2,4),(2,5),(2,6),(3,1),(3,5),(3,6)],7)
[1,3,6,4,2,5,7]=>([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7)
[1,3,6,4,2,7,5]=>([(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)
[1,3,6,4,5,2,7]=>([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7)
[1,3,6,4,5,7,2]=>([(0,3),(0,5),(1,6),(2,6),(4,2),(5,1),(5,4)],7)
[1,3,6,4,7,2,5]=>([(0,3),(0,4),(1,5),(2,5),(2,6),(3,6),(4,1),(4,2)],7)
[1,3,6,4,7,5,2]=>([(0,3),(0,5),(2,6),(4,1),(4,6),(5,2),(5,4)],7)
[1,3,6,5,2,4,7]=>([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)
[1,3,6,5,2,7,4]=>([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7)
[1,3,6,5,4,2,7]=>([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)
[1,3,6,5,4,7,2]=>([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7)
[1,3,6,5,7,2,4]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7)
[1,3,6,5,7,4,2]=>([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)
[1,3,6,7,2,4,5]=>([(0,3),(0,5),(3,6),(4,1),(5,4),(5,6),(6,2)],7)
[1,3,6,7,2,5,4]=>([(0,2),(0,4),(2,5),(2,6),(3,1),(4,3),(4,5),(4,6)],7)
[1,3,6,7,4,2,5]=>([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(5,4)],7)
[1,3,6,7,4,5,2]=>([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7)
[1,3,6,7,5,2,4]=>([(0,3),(0,5),(3,6),(4,2),(5,1),(5,4),(5,6)],7)
[1,3,6,7,5,4,2]=>([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7)
[1,3,7,2,4,5,6]=>([(0,3),(0,5),(3,6),(4,2),(5,1),(5,6),(6,4)],7)
[1,3,7,2,4,6,5]=>([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7)
[1,3,7,2,5,4,6]=>([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)
[1,3,7,2,5,6,4]=>([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)
[1,3,7,2,6,4,5]=>([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)
[1,3,7,2,6,5,4]=>([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7)
[1,3,7,4,2,5,6]=>([(0,4),(0,5),(2,6),(4,6),(5,1),(5,2),(6,3)],7)
[1,3,7,4,2,6,5]=>([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)
[1,3,7,4,5,2,6]=>([(0,3),(0,5),(2,6),(3,6),(4,2),(5,1),(5,4)],7)
[1,3,7,4,5,6,2]=>([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7)
[1,3,7,4,6,2,5]=>([(0,3),(0,5),(3,6),(4,2),(4,6),(5,1),(5,4)],7)
[1,3,7,4,6,5,2]=>([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7)
[1,3,7,5,2,4,6]=>([(0,3),(0,4),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)
[1,3,7,5,2,6,4]=>([(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,2),(4,6)],7)
[1,3,7,5,4,2,6]=>([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)
[1,3,7,5,4,6,2]=>([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)
[1,3,7,5,6,2,4]=>([(0,3),(0,5),(3,6),(4,2),(5,1),(5,4),(5,6)],7)
[1,3,7,5,6,4,2]=>([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7)
[1,3,7,6,2,4,5]=>([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7)
[1,3,7,6,2,5,4]=>([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7)
[1,3,7,6,4,2,5]=>([(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,3)],7)
[1,3,7,6,4,5,2]=>([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7)
[1,3,7,6,5,2,4]=>([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7)
[1,3,7,6,5,4,2]=>([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)
[1,4,2,3,5,6,7]=>([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7)
[1,4,2,3,5,7,6]=>([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7)
[1,4,2,3,6,5,7]=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(4,6),(5,6)],7)
[1,4,2,3,6,7,5]=>([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(6,1)],7)
[1,4,2,3,7,5,6]=>([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(6,1)],7)
[1,4,2,3,7,6,5]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1)],7)
[1,4,2,5,3,6,7]=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
[1,4,2,5,3,7,6]=>([(0,2),(0,3),(1,5),(1,6),(2,4),(3,1),(3,4),(4,5),(4,6)],7)
[1,4,2,5,6,3,7]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)
[1,4,2,5,6,7,3]=>([(0,3),(0,5),(3,6),(4,2),(5,1),(5,6),(6,4)],7)
[1,4,2,5,7,3,6]=>([(0,3),(0,4),(2,5),(3,6),(4,2),(4,6),(6,1),(6,5)],7)
[1,4,2,5,7,6,3]=>([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7)
[1,4,2,6,3,5,7]=>([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5),(4,6),(5,6)],7)
[1,4,2,6,3,7,5]=>([(0,2),(0,3),(1,4),(1,6),(2,4),(2,5),(3,1),(3,5),(5,6)],7)
[1,4,2,6,5,3,7]=>([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,2,6,5,7,3]=>([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,2,6,7,3,5]=>([(0,3),(0,4),(2,5),(3,5),(3,6),(4,2),(4,6),(6,1)],7)
[1,4,2,6,7,5,3]=>([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)
[1,4,2,7,3,5,6]=>([(0,3),(0,4),(2,6),(3,5),(3,6),(4,2),(4,5),(6,1)],7)
[1,4,2,7,3,6,5]=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,1),(3,6)],7)
[1,4,2,7,5,3,6]=>([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(5,6)],7)
[1,4,2,7,5,6,3]=>([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)
[1,4,2,7,6,3,5]=>([(0,2),(0,3),(1,4),(2,4),(2,5),(2,6),(3,1),(3,5),(3,6)],7)
[1,4,2,7,6,5,3]=>([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7)
[1,4,3,2,5,6,7]=>([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7)
[1,4,3,2,5,7,6]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7)
[1,4,3,2,6,5,7]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)
[1,4,3,2,6,7,5]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)
[1,4,3,2,7,5,6]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)
[1,4,3,2,7,6,5]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,4,3,5,2,6,7]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)
[1,4,3,5,2,7,6]=>([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,3,5,6,2,7]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7)
[1,4,3,5,6,7,2]=>([(0,2),(0,3),(0,4),(3,6),(4,6),(5,1),(6,5)],7)
[1,4,3,5,7,2,6]=>([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7)
[1,4,3,5,7,6,2]=>([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7)
[1,4,3,6,2,5,7]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)
[1,4,3,6,2,7,5]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)
[1,4,3,6,5,2,7]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,3,6,5,7,2]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,3,6,7,2,5]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7)
[1,4,3,6,7,5,2]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)
[1,4,3,7,2,5,6]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)
[1,4,3,7,2,6,5]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,4,3,7,5,2,6]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
[1,4,3,7,5,6,2]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)
[1,4,3,7,6,2,5]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,4,3,7,6,5,2]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,4,5,2,3,6,7]=>([(0,4),(0,5),(1,6),(2,6),(4,2),(5,1),(6,3)],7)
[1,4,5,2,3,7,6]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7)
[1,4,5,2,6,3,7]=>([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7)
[1,4,5,2,6,7,3]=>([(0,4),(0,5),(2,6),(4,2),(5,1),(5,6),(6,3)],7)
[1,4,5,2,7,3,6]=>([(0,3),(0,4),(1,5),(2,5),(2,6),(3,2),(4,1),(4,6)],7)
[1,4,5,2,7,6,3]=>([(0,3),(0,4),(2,5),(2,6),(3,2),(4,1),(4,5),(4,6)],7)
[1,4,5,3,2,6,7]=>([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)
[1,4,5,3,2,7,6]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7)
[1,4,5,3,6,2,7]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7)
[1,4,5,3,6,7,2]=>([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)
[1,4,5,3,7,2,6]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(3,6),(4,1)],7)
[1,4,5,3,7,6,2]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(3,5),(3,6),(4,1)],7)
[1,4,5,6,2,3,7]=>([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7)
[1,4,5,6,2,7,3]=>([(0,4),(0,5),(2,6),(3,2),(4,3),(5,1),(5,6)],7)
[1,4,5,6,3,2,7]=>([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7)
[1,4,5,6,3,7,2]=>([(0,2),(0,3),(0,5),(1,6),(3,6),(4,1),(5,4)],7)
[1,4,5,6,7,2,3]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)
[1,4,5,6,7,3,2]=>([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7)
[1,4,5,7,2,3,6]=>([(0,4),(0,5),(2,6),(3,1),(3,6),(4,2),(5,3)],7)
[1,4,5,7,2,6,3]=>([(0,4),(0,5),(3,2),(3,6),(4,3),(5,1),(5,6)],7)
[1,4,5,7,3,2,6]=>([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(4,6),(5,4)],7)
[1,4,5,7,3,6,2]=>([(0,2),(0,3),(0,5),(3,6),(4,1),(4,6),(5,4)],7)
[1,4,5,7,6,2,3]=>([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7)
[1,4,5,7,6,3,2]=>([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7)
[1,4,6,2,3,5,7]=>([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7)
[1,4,6,2,3,7,5]=>([(0,3),(0,4),(1,5),(2,5),(2,6),(3,2),(4,1),(4,6)],7)
[1,4,6,2,5,3,7]=>([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)
[1,4,6,2,5,7,3]=>([(0,3),(0,4),(2,6),(3,1),(3,5),(4,2),(4,5),(5,6)],7)
[1,4,6,2,7,3,5]=>([(0,3),(0,4),(1,6),(2,5),(3,2),(3,6),(4,1),(4,5)],7)
[1,4,6,2,7,5,3]=>([(0,3),(0,4),(2,5),(3,2),(3,6),(4,1),(4,5),(4,6)],7)
[1,4,6,3,2,5,7]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7)
[1,4,6,3,2,7,5]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)
[1,4,6,3,5,2,7]=>([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7)
[1,4,6,3,5,7,2]=>([(0,2),(0,3),(0,4),(1,6),(3,5),(4,1),(4,5),(5,6)],7)
[1,4,6,3,7,2,5]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)
[1,4,6,3,7,5,2]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(3,6),(4,1),(4,6)],7)
[1,4,6,5,2,3,7]=>([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)
[1,4,6,5,2,7,3]=>([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7)
[1,4,6,5,3,2,7]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)
[1,4,6,5,3,7,2]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)
[1,4,6,5,7,2,3]=>([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7)
[1,4,6,5,7,3,2]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7)
[1,4,6,7,2,3,5]=>([(0,4),(0,5),(2,6),(3,1),(4,2),(5,3),(5,6)],7)
[1,4,6,7,2,5,3]=>([(0,4),(0,5),(3,2),(4,3),(4,6),(5,1),(5,6)],7)
[1,4,6,7,3,2,5]=>([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(5,4),(5,6)],7)
[1,4,6,7,3,5,2]=>([(0,2),(0,3),(0,5),(3,6),(4,1),(5,4),(5,6)],7)
[1,4,6,7,5,2,3]=>([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7)
[1,4,6,7,5,3,2]=>([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7)
[1,4,7,2,3,5,6]=>([(0,4),(0,5),(2,6),(4,2),(5,1),(5,6),(6,3)],7)
[1,4,7,2,3,6,5]=>([(0,3),(0,4),(2,5),(2,6),(3,2),(4,1),(4,5),(4,6)],7)
[1,4,7,2,5,3,6]=>([(0,3),(0,4),(2,6),(3,1),(3,5),(4,2),(4,5),(5,6)],7)
[1,4,7,2,5,6,3]=>([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7)
[1,4,7,2,6,3,5]=>([(0,3),(0,4),(2,5),(3,2),(3,6),(4,1),(4,5),(4,6)],7)
[1,4,7,2,6,5,3]=>([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7)
[1,4,7,3,2,5,6]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7)
[1,4,7,3,2,6,5]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)
[1,4,7,3,5,2,6]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7)
[1,4,7,3,5,6,2]=>([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)
[1,4,7,3,6,2,5]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)
[1,4,7,3,6,5,2]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)
[1,4,7,5,2,3,6]=>([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7)
[1,4,7,5,2,6,3]=>([(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,3)],7)
[1,4,7,5,3,2,6]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)
[1,4,7,5,3,6,2]=>([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)
[1,4,7,5,6,2,3]=>([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7)
[1,4,7,5,6,3,2]=>([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7)
[1,4,7,6,2,3,5]=>([(0,4),(0,5),(3,6),(4,3),(5,1),(5,2),(5,6)],7)
[1,4,7,6,2,5,3]=>([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7)
[1,4,7,6,3,2,5]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7)
[1,4,7,6,3,5,2]=>([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)
[1,4,7,6,5,2,3]=>([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7)
[1,4,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)
[1,5,2,3,4,6,7]=>([(0,3),(0,5),(1,6),(3,6),(4,1),(5,4),(6,2)],7)
[1,5,2,3,4,7,6]=>([(0,2),(0,4),(1,5),(1,6),(2,5),(2,6),(3,1),(4,3)],7)
[1,5,2,3,6,4,7]=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7)
[1,5,2,3,6,7,4]=>([(0,3),(0,5),(3,6),(4,1),(4,6),(5,4),(6,2)],7)
[1,5,2,3,7,4,6]=>([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,3)],7)
[1,5,2,3,7,6,4]=>([(0,2),(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,3)],7)
[1,5,2,4,3,6,7]=>([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7)
[1,5,2,4,3,7,6]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)
[1,5,2,4,6,3,7]=>([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7)
[1,5,2,4,6,7,3]=>([(0,4),(0,5),(2,6),(4,6),(5,1),(5,2),(6,3)],7)
[1,5,2,4,7,3,6]=>([(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)
[1,5,2,4,7,6,3]=>([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)
[1,5,2,6,3,4,7]=>([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7)
[1,5,2,6,3,7,4]=>([(0,2),(0,4),(2,5),(3,1),(3,6),(4,3),(4,5),(5,6)],7)
[1,5,2,6,4,3,7]=>([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)
[1,5,2,6,4,7,3]=>([(0,3),(0,4),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)
[1,5,2,6,7,3,4]=>([(0,3),(0,5),(3,6),(4,1),(5,4),(5,6),(6,2)],7)
[1,5,2,6,7,4,3]=>([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7)
[1,5,2,7,3,4,6]=>([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(4,3),(4,6)],7)
[1,5,2,7,3,6,4]=>([(0,2),(0,4),(2,5),(2,6),(3,1),(3,6),(4,3),(4,5)],7)
[1,5,2,7,4,3,6]=>([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7)
[1,5,2,7,4,6,3]=>([(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,2),(4,6)],7)
[1,5,2,7,6,3,4]=>([(0,2),(0,4),(2,5),(2,6),(3,1),(4,3),(4,5),(4,6)],7)
[1,5,2,7,6,4,3]=>([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7)
[1,5,3,2,4,6,7]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)
[1,5,3,2,4,7,6]=>([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,3,2,6,4,7]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)
[1,5,3,2,6,7,4]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)
[1,5,3,2,7,4,6]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)
[1,5,3,2,7,6,4]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,5,3,4,2,6,7]=>([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)
[1,5,3,4,2,7,6]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7)
[1,5,3,4,6,2,7]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7)
[1,5,3,4,6,7,2]=>([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)
[1,5,3,4,7,2,6]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(3,6),(4,1)],7)
[1,5,3,4,7,6,2]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(3,5),(3,6),(4,1)],7)
[1,5,3,6,2,4,7]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
[1,5,3,6,2,7,4]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)
[1,5,3,6,4,2,7]=>([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7)
[1,5,3,6,4,7,2]=>([(0,2),(0,3),(0,4),(1,6),(3,5),(4,1),(4,5),(5,6)],7)
[1,5,3,6,7,2,4]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7)
[1,5,3,6,7,4,2]=>([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)
[1,5,3,7,2,4,6]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)
[1,5,3,7,2,6,4]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)
[1,5,3,7,4,2,6]=>([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,5)],7)
[1,5,3,7,4,6,2]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(3,6),(4,1),(4,6)],7)
[1,5,3,7,6,2,4]=>([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,5,3,7,6,4,2]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)
[1,5,4,2,3,6,7]=>([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)
[1,5,4,2,3,7,6]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7)
[1,5,4,2,6,3,7]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7)
[1,5,4,2,6,7,3]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7)
[1,5,4,2,7,3,6]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)
[1,5,4,2,7,6,3]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)
[1,5,4,3,2,6,7]=>([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)
[1,5,4,3,2,7,6]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,4,3,6,2,7]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)
[1,5,4,3,6,7,2]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7)
[1,5,4,3,7,2,6]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,4,3,7,6,2]=>([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,4,6,2,3,7]=>([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7)
[1,5,4,6,2,7,3]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7)
[1,5,4,6,3,2,7]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[1,5,4,6,3,7,2]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)
[1,5,4,6,7,2,3]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7)
[1,5,4,6,7,3,2]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7)
[1,5,4,7,2,3,6]=>([(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7)
[1,5,4,7,2,6,3]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)
[1,5,4,7,3,2,6]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,4,7,3,6,2]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,4,7,6,2,3]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7)
[1,5,4,7,6,3,2]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,6,2,3,4,7]=>([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7)
[1,5,6,2,3,7,4]=>([(0,4),(0,5),(2,6),(3,1),(3,6),(4,2),(5,3)],7)
[1,5,6,2,4,3,7]=>([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)
[1,5,6,2,4,7,3]=>([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7)
[1,5,6,2,7,3,4]=>([(0,4),(0,5),(2,6),(3,1),(4,2),(5,3),(5,6)],7)
[1,5,6,2,7,4,3]=>([(0,4),(0,5),(3,6),(4,3),(5,1),(5,2),(5,6)],7)
[1,5,6,3,2,4,7]=>([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7)
[1,5,6,3,2,7,4]=>([(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7)
[1,5,6,3,4,2,7]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)
[1,5,6,3,4,7,2]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7)
[1,5,6,3,7,2,4]=>([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,1)],7)
[1,5,6,3,7,4,2]=>([(0,3),(0,4),(0,5),(2,6),(4,2),(5,1),(5,6)],7)
[1,5,6,4,2,3,7]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)
[1,5,6,4,2,7,3]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,2),(5,1),(5,6)],7)
[1,5,6,4,3,2,7]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)
[1,5,6,4,3,7,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)
[1,5,6,4,7,2,3]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7)
[1,5,6,4,7,3,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)
[1,5,6,7,2,3,4]=>([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7)
[1,5,6,7,2,4,3]=>([(0,5),(0,6),(4,3),(5,4),(6,1),(6,2)],7)
[1,5,6,7,3,2,4]=>([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(5,4)],7)
[1,5,6,7,3,4,2]=>([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7)
[1,5,6,7,4,2,3]=>([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7)
[1,5,6,7,4,3,2]=>([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)
[1,5,7,2,3,4,6]=>([(0,4),(0,5),(2,6),(3,2),(4,3),(5,1),(5,6)],7)
[1,5,7,2,3,6,4]=>([(0,4),(0,5),(3,2),(3,6),(4,3),(5,1),(5,6)],7)
[1,5,7,2,4,3,6]=>([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7)
[1,5,7,2,4,6,3]=>([(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,3)],7)
[1,5,7,2,6,3,4]=>([(0,4),(0,5),(3,2),(4,3),(4,6),(5,1),(5,6)],7)
[1,5,7,2,6,4,3]=>([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7)
[1,5,7,3,2,4,6]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7)
[1,5,7,3,2,6,4]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)
[1,5,7,3,4,2,6]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,2),(5,1),(5,6)],7)
[1,5,7,3,4,6,2]=>([(0,3),(0,4),(0,5),(2,6),(4,2),(5,1),(5,6)],7)
[1,5,7,3,6,2,4]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7)
[1,5,7,3,6,4,2]=>([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7)
[1,5,7,4,2,3,6]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,2),(5,1),(5,6)],7)
[1,5,7,4,2,6,3]=>([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7)
[1,5,7,4,3,2,6]=>([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7)
[1,5,7,4,3,6,2]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)
[1,5,7,4,6,2,3]=>([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7)
[1,5,7,4,6,3,2]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)
[1,5,7,6,2,3,4]=>([(0,5),(0,6),(4,3),(5,4),(6,1),(6,2)],7)
[1,5,7,6,2,4,3]=>([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7)
[1,5,7,6,3,2,4]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7)
[1,5,7,6,3,4,2]=>([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)
[1,5,7,6,4,2,3]=>([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)
[1,5,7,6,4,3,2]=>([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)
[1,6,2,3,4,5,7]=>([(0,2),(0,5),(1,6),(2,6),(3,4),(4,1),(5,3)],7)
[1,6,2,3,4,7,5]=>([(0,2),(0,5),(2,6),(3,4),(4,1),(4,6),(5,3)],7)
[1,6,2,3,5,4,7]=>([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7)
[1,6,2,3,5,7,4]=>([(0,3),(0,4),(2,6),(3,6),(4,5),(5,1),(5,2)],7)
[1,6,2,3,7,4,5]=>([(0,2),(0,5),(2,6),(3,1),(4,3),(4,6),(5,4)],7)
[1,6,2,3,7,5,4]=>([(0,3),(0,4),(3,6),(4,5),(5,1),(5,2),(5,6)],7)
[1,6,2,4,3,5,7]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)
[1,6,2,4,3,7,5]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7)
[1,6,2,4,5,3,7]=>([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7)
[1,6,2,4,5,7,3]=>([(0,3),(0,5),(2,6),(3,6),(4,2),(5,1),(5,4)],7)
[1,6,2,4,7,3,5]=>([(0,3),(0,4),(1,5),(2,5),(2,6),(3,6),(4,1),(4,2)],7)
[1,6,2,4,7,5,3]=>([(0,3),(0,5),(3,6),(4,2),(4,6),(5,1),(5,4)],7)
[1,6,2,5,3,4,7]=>([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7)
[1,6,2,5,3,7,4]=>([(0,3),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,4)],7)
[1,6,2,5,4,3,7]=>([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)
[1,6,2,5,4,7,3]=>([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)
[1,6,2,5,7,3,4]=>([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(5,4)],7)
[1,6,2,5,7,4,3]=>([(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,3)],7)
[1,6,2,7,3,4,5]=>([(0,2),(0,5),(2,6),(3,4),(4,1),(5,3),(5,6)],7)
[1,6,2,7,3,5,4]=>([(0,3),(0,4),(3,6),(4,5),(4,6),(5,1),(5,2)],7)
[1,6,2,7,4,3,5]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7)
[1,6,2,7,4,5,3]=>([(0,3),(0,5),(3,6),(4,2),(5,1),(5,4),(5,6)],7)
[1,6,2,7,5,3,4]=>([(0,3),(0,5),(3,6),(4,2),(5,1),(5,4),(5,6)],7)
[1,6,2,7,5,4,3]=>([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7)
[1,6,3,2,4,5,7]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7)
[1,6,3,2,4,7,5]=>([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7)
[1,6,3,2,5,4,7]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[1,6,3,2,5,7,4]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
[1,6,3,2,7,4,5]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7)
[1,6,3,2,7,5,4]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,6,3,4,2,5,7]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7)
[1,6,3,4,2,7,5]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(3,6),(4,1)],7)
[1,6,3,4,5,2,7]=>([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7)
[1,6,3,4,5,7,2]=>([(0,2),(0,3),(0,5),(1,6),(3,6),(4,1),(5,4)],7)
[1,6,3,4,7,2,5]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(4,1)],7)
[1,6,3,4,7,5,2]=>([(0,2),(0,3),(0,5),(3,6),(4,1),(4,6),(5,4)],7)
[1,6,3,5,2,4,7]=>([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7)
[1,6,3,5,2,7,4]=>([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,5)],7)
[1,6,3,5,4,2,7]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)
[1,6,3,5,4,7,2]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)
[1,6,3,5,7,2,4]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,6)],7)
[1,6,3,5,7,4,2]=>([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)
[1,6,3,7,2,4,5]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7)
[1,6,3,7,2,5,4]=>([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,6,3,7,4,2,5]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,6)],7)
[1,6,3,7,4,5,2]=>([(0,2),(0,3),(0,5),(3,6),(4,1),(5,4),(5,6)],7)
[1,6,3,7,5,2,4]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7)
[1,6,3,7,5,4,2]=>([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)
[1,6,4,2,3,5,7]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7)
[1,6,4,2,3,7,5]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(3,6),(4,1)],7)
[1,6,4,2,5,3,7]=>([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7)
[1,6,4,2,5,7,3]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7)
[1,6,4,2,7,3,5]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)
[1,6,4,2,7,5,3]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)
[1,6,4,3,2,5,7]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)
[1,6,4,3,2,7,5]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,4,3,5,2,7]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[1,6,4,3,5,7,2]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)
[1,6,4,3,7,2,5]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,4,3,7,5,2]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,4,5,2,3,7]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)
[1,6,4,5,2,7,3]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,2),(5,1),(5,6)],7)
[1,6,4,5,3,2,7]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)
[1,6,4,5,3,7,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)
[1,6,4,5,7,2,3]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7)
[1,6,4,5,7,3,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)
[1,6,4,7,2,3,5]=>([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,1)],7)
[1,6,4,7,2,5,3]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7)
[1,6,4,7,3,2,5]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7)
[1,6,4,7,3,5,2]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7)
[1,6,4,7,5,2,3]=>([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7)
[1,6,4,7,5,3,2]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)
[1,6,5,2,3,4,7]=>([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7)
[1,6,5,2,3,7,4]=>([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(4,6),(5,4)],7)
[1,6,5,2,4,3,7]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)
[1,6,5,2,4,7,3]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)
[1,6,5,2,7,3,4]=>([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(5,4),(5,6)],7)
[1,6,5,2,7,4,3]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7)
[1,6,5,3,2,4,7]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[1,6,5,3,2,7,4]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,5,3,4,2,7]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)
[1,6,5,3,4,7,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)
[1,6,5,3,7,2,4]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7)
[1,6,5,3,7,4,2]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)
[1,6,5,4,2,3,7]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)
[1,6,5,4,2,7,3]=>([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7)
[1,6,5,4,3,2,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,5,4,3,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,5,4,7,2,3]=>([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7)
[1,6,5,4,7,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)
[1,6,5,7,2,3,4]=>([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(5,4)],7)
[1,6,5,7,2,4,3]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7)
[1,6,5,7,3,2,4]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7)
[1,6,5,7,3,4,2]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)
[1,6,5,7,4,2,3]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)
[1,6,5,7,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)
[1,6,7,2,3,4,5]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)
[1,6,7,2,3,5,4]=>([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7)
[1,6,7,2,4,3,5]=>([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7)
[1,6,7,2,4,5,3]=>([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7)
[1,6,7,2,5,3,4]=>([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7)
[1,6,7,2,5,4,3]=>([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7)
[1,6,7,3,2,4,5]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7)
[1,6,7,3,2,5,4]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7)
[1,6,7,3,4,2,5]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7)
[1,6,7,3,4,5,2]=>([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7)
[1,6,7,3,5,2,4]=>([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7)
[1,6,7,3,5,4,2]=>([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)
[1,6,7,4,2,3,5]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7)
[1,6,7,4,2,5,3]=>([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7)
[1,6,7,4,3,2,5]=>([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7)
[1,6,7,4,3,5,2]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)
[1,6,7,4,5,2,3]=>([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7)
[1,6,7,4,5,3,2]=>([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)
[1,6,7,5,2,3,4]=>([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7)
[1,6,7,5,2,4,3]=>([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)
[1,6,7,5,3,2,4]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)
[1,6,7,5,3,4,2]=>([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)
[1,6,7,5,4,2,3]=>([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)
[1,6,7,5,4,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)
[1,7,2,3,4,5,6]=>([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7)
[1,7,2,3,4,6,5]=>([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7)
[1,7,2,3,5,4,6]=>([(0,3),(0,4),(1,6),(2,6),(4,5),(5,1),(5,2)],7)
[1,7,2,3,5,6,4]=>([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7)
[1,7,2,3,6,4,5]=>([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7)
[1,7,2,3,6,5,4]=>([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7)
[1,7,2,4,3,5,6]=>([(0,4),(0,5),(1,6),(2,6),(5,1),(5,2),(6,3)],7)
[1,7,2,4,3,6,5]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7)
[1,7,2,4,5,3,6]=>([(0,3),(0,5),(1,6),(2,6),(4,2),(5,1),(5,4)],7)
[1,7,2,4,5,6,3]=>([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7)
[1,7,2,4,6,3,5]=>([(0,3),(0,5),(2,6),(4,1),(4,6),(5,2),(5,4)],7)
[1,7,2,4,6,5,3]=>([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7)
[1,7,2,5,3,4,6]=>([(0,3),(0,5),(1,6),(2,6),(4,2),(5,1),(5,4)],7)
[1,7,2,5,3,6,4]=>([(0,3),(0,5),(2,6),(4,1),(4,6),(5,2),(5,4)],7)
[1,7,2,5,4,3,6]=>([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7)
[1,7,2,5,4,6,3]=>([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)
[1,7,2,5,6,3,4]=>([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7)
[1,7,2,5,6,4,3]=>([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7)
[1,7,2,6,3,4,5]=>([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7)
[1,7,2,6,3,5,4]=>([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7)
[1,7,2,6,4,3,5]=>([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)
[1,7,2,6,4,5,3]=>([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7)
[1,7,2,6,5,3,4]=>([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7)
[1,7,2,6,5,4,3]=>([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)
[1,7,3,2,4,5,6]=>([(0,2),(0,3),(0,4),(3,6),(4,6),(5,1),(6,5)],7)
[1,7,3,2,4,6,5]=>([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7)
[1,7,3,2,5,4,6]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[1,7,3,2,5,6,4]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)
[1,7,3,2,6,4,5]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)
[1,7,3,2,6,5,4]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,7,3,4,2,5,6]=>([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)
[1,7,3,4,2,6,5]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(3,5),(3,6),(4,1)],7)
[1,7,3,4,5,2,6]=>([(0,2),(0,3),(0,5),(1,6),(3,6),(4,1),(5,4)],7)
[1,7,3,4,5,6,2]=>([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7)
[1,7,3,4,6,2,5]=>([(0,2),(0,3),(0,5),(3,6),(4,1),(4,6),(5,4)],7)
[1,7,3,4,6,5,2]=>([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7)
[1,7,3,5,2,4,6]=>([(0,2),(0,3),(0,4),(1,6),(3,5),(4,1),(4,5),(5,6)],7)
[1,7,3,5,2,6,4]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(3,6),(4,1),(4,6)],7)
[1,7,3,5,4,2,6]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)
[1,7,3,5,4,6,2]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7)
[1,7,3,5,6,2,4]=>([(0,2),(0,3),(0,5),(3,6),(4,1),(5,4),(5,6)],7)
[1,7,3,5,6,4,2]=>([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7)
[1,7,3,6,2,4,5]=>([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)
[1,7,3,6,2,5,4]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)
[1,7,3,6,4,2,5]=>([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)
[1,7,3,6,4,5,2]=>([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7)
[1,7,3,6,5,2,4]=>([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)
[1,7,3,6,5,4,2]=>([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)
[1,7,4,2,3,5,6]=>([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)
[1,7,4,2,3,6,5]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(3,5),(3,6),(4,1)],7)
[1,7,4,2,5,3,6]=>([(0,2),(0,3),(0,4),(1,6),(3,5),(4,1),(4,5),(5,6)],7)
[1,7,4,2,5,6,3]=>([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)
[1,7,4,2,6,3,5]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(3,6),(4,1),(4,6)],7)
[1,7,4,2,6,5,3]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)
[1,7,4,3,2,5,6]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7)
[1,7,4,3,2,6,5]=>([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,7,4,3,5,2,6]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)
[1,7,4,3,5,6,2]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7)
[1,7,4,3,6,2,5]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,7,4,3,6,5,2]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,7,4,5,2,3,6]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7)
[1,7,4,5,2,6,3]=>([(0,3),(0,4),(0,5),(2,6),(4,2),(5,1),(5,6)],7)
[1,7,4,5,3,2,6]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)
[1,7,4,5,3,6,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)
[1,7,4,5,6,2,3]=>([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7)
[1,7,4,5,6,3,2]=>([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)
[1,7,4,6,2,3,5]=>([(0,3),(0,4),(0,5),(2,6),(4,2),(5,1),(5,6)],7)
[1,7,4,6,2,5,3]=>([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7)
[1,7,4,6,3,2,5]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)
[1,7,4,6,3,5,2]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)
[1,7,4,6,5,2,3]=>([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)
[1,7,4,6,5,3,2]=>([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)
[1,7,5,2,3,4,6]=>([(0,2),(0,3),(0,5),(1,6),(3,6),(4,1),(5,4)],7)
[1,7,5,2,3,6,4]=>([(0,2),(0,3),(0,5),(3,6),(4,1),(4,6),(5,4)],7)
[1,7,5,2,4,3,6]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)
[1,7,5,2,4,6,3]=>([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)
[1,7,5,2,6,3,4]=>([(0,2),(0,3),(0,5),(3,6),(4,1),(5,4),(5,6)],7)
[1,7,5,2,6,4,3]=>([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)
[1,7,5,3,2,4,6]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)
[1,7,5,3,2,6,4]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,7,5,3,4,2,6]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)
[1,7,5,3,4,6,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)
[1,7,5,3,6,2,4]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7)
[1,7,5,3,6,4,2]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)
[1,7,5,4,2,3,6]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)
[1,7,5,4,2,6,3]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)
[1,7,5,4,3,2,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,5,4,3,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)
[1,7,5,4,6,2,3]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)
[1,7,5,4,6,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)
[1,7,5,6,2,3,4]=>([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7)
[1,7,5,6,2,4,3]=>([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)
[1,7,5,6,3,2,4]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)
[1,7,5,6,3,4,2]=>([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)
[1,7,5,6,4,2,3]=>([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)
[1,7,5,6,4,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)
[1,7,6,2,3,4,5]=>([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7)
[1,7,6,2,3,5,4]=>([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7)
[1,7,6,2,4,3,5]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7)
[1,7,6,2,4,5,3]=>([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7)
[1,7,6,2,5,3,4]=>([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7)
[1,7,6,2,5,4,3]=>([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)
[1,7,6,3,2,4,5]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7)
[1,7,6,3,2,5,4]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,7,6,3,4,2,5]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)
[1,7,6,3,4,5,2]=>([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)
[1,7,6,3,5,2,4]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)
[1,7,6,3,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)
[1,7,6,4,2,3,5]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)
[1,7,6,4,2,5,3]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)
[1,7,6,4,3,2,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)
[1,7,6,4,3,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)
[1,7,6,4,5,2,3]=>([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)
[1,7,6,4,5,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)
[1,7,6,5,2,3,4]=>([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)
[1,7,6,5,2,4,3]=>([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)
[1,7,6,5,3,2,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)
[1,7,6,5,3,4,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)
[1,7,6,5,4,2,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)
[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)
[2,1,3,4,5,6,7]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[2,1,3,4,5,7,6]=>([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7)
[2,1,3,4,6,5,7]=>([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7)
[2,1,3,4,6,7,5]=>([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7)
[2,1,3,4,7,5,6]=>([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7)
[2,1,3,4,7,6,5]=>([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7)
[2,1,3,5,4,6,7]=>([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7)
[2,1,3,5,4,7,6]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7)
[2,1,3,5,6,4,7]=>([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7)
[2,1,3,5,6,7,4]=>([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7)
[2,1,3,5,7,4,6]=>([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7)
[2,1,3,5,7,6,4]=>([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7)
[2,1,3,6,4,5,7]=>([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7)
[2,1,3,6,4,7,5]=>([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7)
[2,1,3,6,5,4,7]=>([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)
[2,1,3,6,5,7,4]=>([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7)
[2,1,3,6,7,4,5]=>([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7)
[2,1,3,6,7,5,4]=>([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7)
[2,1,3,7,4,5,6]=>([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7)
[2,1,3,7,4,6,5]=>([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7)
[2,1,3,7,5,4,6]=>([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7)
[2,1,3,7,5,6,4]=>([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7)
[2,1,3,7,6,4,5]=>([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7)
[2,1,3,7,6,5,4]=>([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7)
[2,1,4,3,5,6,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7)
[2,1,4,3,5,7,6]=>([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7)
[2,1,4,3,6,5,7]=>([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7)
[2,1,4,3,6,7,5]=>([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7)
[2,1,4,3,7,5,6]=>([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7)
[2,1,4,3,7,6,5]=>([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7)
[2,1,4,5,3,6,7]=>([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7)
[2,1,4,5,3,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7)
[2,1,4,5,6,3,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7)
[2,1,4,5,6,7,3]=>([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7)
[2,1,4,5,7,3,6]=>([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7)
[2,1,4,5,7,6,3]=>([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7)
[2,1,4,6,3,5,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7)
[2,1,4,6,3,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7)
[2,1,4,6,5,3,7]=>([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)
[2,1,4,6,5,7,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7)
[2,1,4,6,7,3,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7)
[2,1,4,6,7,5,3]=>([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)
[2,1,4,7,3,5,6]=>([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7)
[2,1,4,7,3,6,5]=>([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7)
[2,1,4,7,5,3,6]=>([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7)
[2,1,4,7,5,6,3]=>([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)
[2,1,4,7,6,3,5]=>([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7)
[2,1,4,7,6,5,3]=>([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7)
[2,1,5,3,4,6,7]=>([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7)
[2,1,5,3,4,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7)
[2,1,5,3,6,4,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7)
[2,1,5,3,6,7,4]=>([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7)
[2,1,5,3,7,4,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7)
[2,1,5,3,7,6,4]=>([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7)
[2,1,5,4,3,6,7]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6),(6,2)],7)
[2,1,5,4,3,7,6]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,4,6,3,7]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3),(5,3),(6,2)],7)
[2,1,5,4,6,7,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(5,3),(6,3)],7)
[2,1,5,4,7,3,6]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,2),(5,6)],7)
[2,1,5,4,7,6,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,2),(5,3),(6,2),(6,3)],7)
[2,1,5,6,3,4,7]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7)
[2,1,5,6,3,7,4]=>([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7)
[2,1,5,6,4,3,7]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)
[2,1,5,6,4,7,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(5,2),(6,3)],7)
[2,1,5,6,7,3,4]=>([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7)
[2,1,5,6,7,4,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(6,2)],7)
[2,1,5,7,3,4,6]=>([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7)
[2,1,5,7,3,6,4]=>([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7)
[2,1,5,7,4,3,6]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)
[2,1,5,7,4,6,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2),(6,3)],7)
[2,1,5,7,6,3,4]=>([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7)
[2,1,5,7,6,4,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(6,2),(6,3)],7)
[2,1,6,3,4,5,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7)
[2,1,6,3,4,7,5]=>([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7)
[2,1,6,3,5,4,7]=>([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)
[2,1,6,3,5,7,4]=>([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7)
[2,1,6,3,7,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7)
[2,1,6,3,7,5,4]=>([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7)
[2,1,6,4,3,5,7]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3),(5,3),(6,2)],7)
[2,1,6,4,3,7,5]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,2),(5,6)],7)
[2,1,6,4,5,3,7]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)
[2,1,6,4,5,7,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(5,2),(6,3)],7)
[2,1,6,4,7,3,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,3),(5,2),(6,2),(6,3)],7)
[2,1,6,4,7,5,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2),(6,3)],7)
[2,1,6,5,3,4,7]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)
[2,1,6,5,3,7,4]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)
[2,1,6,5,4,3,7]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)
[2,1,6,5,4,7,3]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)
[2,1,6,5,7,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,2),(5,3),(6,3)],7)
[2,1,6,5,7,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(5,2),(6,2)],7)
[2,1,6,7,3,4,5]=>([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7)
[2,1,6,7,3,5,4]=>([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7)
[2,1,6,7,4,3,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,2),(5,3),(6,3)],7)
[2,1,6,7,4,5,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2)],7)
[2,1,6,7,5,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2)],7)
[2,1,6,7,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)
[2,1,7,3,4,5,6]=>([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7)
[2,1,7,3,4,6,5]=>([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7)
[2,1,7,3,5,4,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7)
[2,1,7,3,5,6,4]=>([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)
[2,1,7,3,6,4,5]=>([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)
[2,1,7,3,6,5,4]=>([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7)
[2,1,7,4,3,5,6]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(5,3),(6,3)],7)
[2,1,7,4,3,6,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,2),(5,3),(6,2),(6,3)],7)
[2,1,7,4,5,3,6]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(5,2),(6,3)],7)
[2,1,7,4,5,6,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(6,2)],7)
[2,1,7,4,6,3,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2),(6,3)],7)
[2,1,7,4,6,5,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(6,2),(6,3)],7)
[2,1,7,5,3,4,6]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(5,2),(6,3)],7)
[2,1,7,5,3,6,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2),(6,3)],7)
[2,1,7,5,4,3,6]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)
[2,1,7,5,4,6,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(5,2),(6,2)],7)
[2,1,7,5,6,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2)],7)
[2,1,7,5,6,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)
[2,1,7,6,3,4,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(6,2)],7)
[2,1,7,6,3,5,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(6,2),(6,3)],7)
[2,1,7,6,4,3,5]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(5,2),(6,2)],7)
[2,1,7,6,4,5,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)
[2,1,7,6,5,3,4]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)
[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)
[2,3,1,4,5,6,7]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[2,3,1,4,5,7,6]=>([(0,6),(1,4),(4,6),(5,2),(5,3),(6,5)],7)
[2,3,1,4,6,5,7]=>([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7)
[2,3,1,4,6,7,5]=>([(0,6),(1,3),(3,6),(5,2),(6,4),(6,5)],7)
[2,3,1,4,7,5,6]=>([(0,6),(1,3),(3,6),(5,2),(6,4),(6,5)],7)
[2,3,1,4,7,6,5]=>([(0,6),(1,2),(2,6),(6,3),(6,4),(6,5)],7)
[2,3,1,5,4,6,7]=>([(0,3),(1,5),(1,6),(3,5),(3,6),(4,2),(5,4),(6,4)],7)
[2,3,1,5,4,7,6]=>([(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)
[2,3,1,5,6,4,7]=>([(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(4,2),(6,5)],7)
[2,3,1,5,6,7,4]=>([(0,5),(0,6),(1,3),(3,5),(3,6),(4,2),(6,4)],7)
[2,3,1,5,7,4,6]=>([(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,2),(6,4)],7)
[2,3,1,5,7,6,4]=>([(0,5),(0,6),(1,4),(4,5),(4,6),(6,2),(6,3)],7)
[2,3,1,6,4,5,7]=>([(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(4,2),(6,5)],7)
[2,3,1,6,4,7,5]=>([(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,2),(6,4)],7)
[2,3,1,6,5,4,7]=>([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[2,3,1,6,5,7,4]=>([(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)
[2,3,1,6,7,4,5]=>([(0,5),(0,6),(1,2),(2,5),(2,6),(5,4),(6,3)],7)
[2,3,1,6,7,5,4]=>([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(6,2)],7)
[2,3,1,7,4,5,6]=>([(0,5),(0,6),(1,3),(3,5),(3,6),(4,2),(6,4)],7)
[2,3,1,7,4,6,5]=>([(0,5),(0,6),(1,4),(4,5),(4,6),(6,2),(6,3)],7)
[2,3,1,7,5,4,6]=>([(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)
[2,3,1,7,5,6,4]=>([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(6,2)],7)
[2,3,1,7,6,4,5]=>([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(6,2)],7)
[2,3,1,7,6,5,4]=>([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[2,3,4,1,5,6,7]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[2,3,4,1,5,7,6]=>([(0,6),(1,5),(2,6),(5,2),(6,3),(6,4)],7)
[2,3,4,1,6,5,7]=>([(0,2),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)
[2,3,4,1,6,7,5]=>([(0,5),(0,6),(1,4),(3,5),(3,6),(4,3),(6,2)],7)
[2,3,4,1,7,5,6]=>([(0,5),(0,6),(1,4),(3,5),(3,6),(4,3),(6,2)],7)
[2,3,4,1,7,6,5]=>([(0,2),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)
[2,3,4,5,1,6,7]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[2,3,4,5,1,7,6]=>([(0,5),(0,6),(1,4),(2,5),(2,6),(3,2),(4,3)],7)
[2,3,4,5,6,1,7]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,3,4,5,6,7,1]=>([(1,6),(3,5),(4,3),(5,2),(6,4)],7)
[2,3,4,5,7,1,6]=>([(0,6),(1,4),(3,5),(4,3),(5,2),(5,6)],7)
[2,3,4,5,7,6,1]=>([(1,5),(4,6),(5,4),(6,2),(6,3)],7)
[2,3,4,6,1,5,7]=>([(0,6),(1,4),(2,5),(3,2),(3,6),(4,3),(6,5)],7)
[2,3,4,6,1,7,5]=>([(0,5),(0,6),(1,3),(2,6),(3,4),(4,2),(4,5)],7)
[2,3,4,6,5,1,7]=>([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)
[2,3,4,6,5,7,1]=>([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)
[2,3,4,6,7,1,5]=>([(0,6),(1,4),(3,2),(4,5),(5,3),(5,6)],7)
[2,3,4,6,7,5,1]=>([(1,5),(4,3),(5,6),(6,2),(6,4)],7)
[2,3,4,7,1,5,6]=>([(0,6),(1,4),(4,5),(5,2),(5,6),(6,3)],7)
[2,3,4,7,1,6,5]=>([(0,5),(0,6),(1,3),(3,4),(4,2),(4,5),(4,6)],7)
[2,3,4,7,5,1,6]=>([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7)
[2,3,4,7,5,6,1]=>([(1,5),(4,3),(5,6),(6,2),(6,4)],7)
[2,3,4,7,6,1,5]=>([(0,6),(1,4),(4,5),(5,2),(5,3),(5,6)],7)
[2,3,4,7,6,5,1]=>([(1,5),(5,6),(6,2),(6,3),(6,4)],7)
[2,3,5,1,4,6,7]=>([(0,5),(1,4),(3,6),(4,3),(4,5),(5,6),(6,2)],7)
[2,3,5,1,4,7,6]=>([(0,2),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)
[2,3,5,1,6,4,7]=>([(0,3),(1,5),(1,6),(2,6),(3,2),(3,5),(5,4),(6,4)],7)
[2,3,5,1,6,7,4]=>([(0,5),(0,6),(1,4),(3,6),(4,3),(4,5),(6,2)],7)
[2,3,5,1,7,4,6]=>([(0,2),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4)],7)
[2,3,5,1,7,6,4]=>([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7)
[2,3,5,4,1,6,7]=>([(0,6),(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7)
[2,3,5,4,1,7,6]=>([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)
[2,3,5,4,6,1,7]=>([(0,6),(1,4),(2,5),(3,5),(4,2),(4,3),(5,6)],7)
[2,3,5,4,6,7,1]=>([(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7)
[2,3,5,4,7,1,6]=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)
[2,3,5,4,7,6,1]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)
[2,3,5,6,1,4,7]=>([(0,6),(1,4),(2,5),(3,2),(4,3),(4,6),(6,5)],7)
[2,3,5,6,1,7,4]=>([(0,5),(0,6),(1,4),(2,6),(3,2),(4,3),(4,5)],7)
[2,3,5,6,4,1,7]=>([(0,6),(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)
[2,3,5,6,4,7,1]=>([(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)
[2,3,5,6,7,1,4]=>([(0,6),(1,5),(3,4),(4,2),(5,3),(5,6)],7)
[2,3,5,6,7,4,1]=>([(1,6),(4,5),(5,3),(6,2),(6,4)],7)
[2,3,5,7,1,4,6]=>([(0,6),(1,3),(3,4),(3,6),(4,2),(4,5),(6,5)],7)
[2,3,5,7,1,6,4]=>([(0,5),(0,6),(1,4),(3,2),(3,5),(4,3),(4,6)],7)
[2,3,5,7,4,1,6]=>([(0,6),(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7)
[2,3,5,7,4,6,1]=>([(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7)
[2,3,5,7,6,1,4]=>([(0,6),(1,4),(4,5),(4,6),(5,2),(5,3)],7)
[2,3,5,7,6,4,1]=>([(1,6),(5,3),(5,4),(6,2),(6,5)],7)
[2,3,6,1,4,5,7]=>([(0,6),(1,4),(2,5),(3,5),(4,3),(4,6),(6,2)],7)
[2,3,6,1,4,7,5]=>([(0,6),(1,4),(3,5),(4,3),(4,6),(6,2),(6,5)],7)
[2,3,6,1,5,4,7]=>([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[2,3,6,1,5,7,4]=>([(0,3),(1,4),(1,6),(2,5),(3,2),(3,4),(3,6),(6,5)],7)
[2,3,6,1,7,4,5]=>([(0,5),(0,6),(1,4),(3,5),(4,3),(4,6),(6,2)],7)
[2,3,6,1,7,5,4]=>([(0,3),(1,4),(1,5),(1,6),(2,6),(3,2),(3,4),(3,5)],7)
[2,3,6,4,1,5,7]=>([(0,6),(1,4),(2,6),(3,5),(4,2),(4,3),(6,5)],7)
[2,3,6,4,1,7,5]=>([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7)
[2,3,6,4,5,1,7]=>([(0,6),(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)
[2,3,6,4,5,7,1]=>([(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)
[2,3,6,4,7,1,5]=>([(0,6),(1,4),(2,5),(3,5),(3,6),(4,2),(4,3)],7)
[2,3,6,4,7,5,1]=>([(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7)
[2,3,6,5,1,4,7]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(4,3),(4,5),(5,6)],7)
[2,3,6,5,1,7,4]=>([(0,5),(0,6),(1,4),(2,6),(3,6),(4,2),(4,3),(4,5)],7)
[2,3,6,5,4,1,7]=>([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)
[2,3,6,5,4,7,1]=>([(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)
[2,3,6,5,7,1,4]=>([(0,6),(1,4),(2,5),(3,5),(4,2),(4,3),(4,6)],7)
[2,3,6,5,7,4,1]=>([(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)
[2,3,6,7,1,4,5]=>([(0,6),(1,5),(4,2),(5,4),(5,6),(6,3)],7)
[2,3,6,7,1,5,4]=>([(0,5),(0,6),(1,4),(3,2),(4,3),(4,5),(4,6)],7)
[2,3,6,7,4,1,5]=>([(0,6),(1,5),(3,6),(4,2),(5,3),(5,4)],7)
[2,3,6,7,4,5,1]=>([(1,6),(4,3),(5,2),(6,4),(6,5)],7)
[2,3,6,7,5,1,4]=>([(0,6),(1,5),(4,3),(5,2),(5,4),(5,6)],7)
[2,3,6,7,5,4,1]=>([(1,6),(5,4),(6,2),(6,3),(6,5)],7)
[2,3,7,1,4,5,6]=>([(0,6),(1,4),(4,3),(4,6),(5,2),(6,5)],7)
[2,3,7,1,4,6,5]=>([(0,6),(1,5),(5,2),(5,6),(6,3),(6,4)],7)
[2,3,7,1,5,4,6]=>([(0,3),(1,5),(1,6),(3,2),(3,5),(3,6),(5,4),(6,4)],7)
[2,3,7,1,5,6,4]=>([(0,5),(0,6),(1,4),(4,3),(4,5),(4,6),(6,2)],7)
[2,3,7,1,6,4,5]=>([(0,5),(0,6),(1,4),(4,3),(4,5),(4,6),(6,2)],7)
[2,3,7,1,6,5,4]=>([(0,3),(1,4),(1,5),(1,6),(3,2),(3,4),(3,5),(3,6)],7)
[2,3,7,4,1,5,6]=>([(0,6),(1,5),(3,6),(5,2),(5,3),(6,4)],7)
[2,3,7,4,1,6,5]=>([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7)
[2,3,7,4,5,1,6]=>([(0,6),(1,5),(3,6),(4,3),(5,2),(5,4)],7)
[2,3,7,4,5,6,1]=>([(1,6),(4,5),(5,3),(6,2),(6,4)],7)
[2,3,7,4,6,1,5]=>([(0,6),(1,5),(4,3),(4,6),(5,2),(5,4)],7)
[2,3,7,4,6,5,1]=>([(1,6),(5,3),(5,4),(6,2),(6,5)],7)
[2,3,7,5,1,4,6]=>([(0,6),(1,4),(3,5),(4,2),(4,3),(4,6),(6,5)],7)
[2,3,7,5,1,6,4]=>([(0,5),(0,6),(1,4),(3,5),(4,2),(4,3),(4,6)],7)
[2,3,7,5,4,1,6]=>([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)
[2,3,7,5,4,6,1]=>([(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)
[2,3,7,5,6,1,4]=>([(0,6),(1,5),(4,3),(5,2),(5,4),(5,6)],7)
[2,3,7,5,6,4,1]=>([(1,6),(5,4),(6,2),(6,3),(6,5)],7)
[2,3,7,6,1,4,5]=>([(0,6),(1,5),(5,2),(5,3),(5,6),(6,4)],7)
[2,3,7,6,1,5,4]=>([(0,5),(0,6),(1,4),(4,2),(4,3),(4,5),(4,6)],7)
[2,3,7,6,4,1,5]=>([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7)
[2,3,7,6,4,5,1]=>([(1,6),(5,4),(6,2),(6,3),(6,5)],7)
[2,3,7,6,5,1,4]=>([(0,6),(1,5),(5,2),(5,3),(5,4),(5,6)],7)
[2,3,7,6,5,4,1]=>([(1,6),(6,2),(6,3),(6,4),(6,5)],7)
[2,4,1,3,5,6,7]=>([(0,6),(1,3),(1,6),(3,5),(4,2),(5,4),(6,5)],7)
[2,4,1,3,5,7,6]=>([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7)
[2,4,1,3,6,5,7]=>([(0,6),(1,2),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)
[2,4,1,3,6,7,5]=>([(0,6),(1,3),(1,6),(3,4),(3,5),(5,2),(6,4),(6,5)],7)
[2,4,1,3,7,5,6]=>([(0,6),(1,3),(1,6),(3,4),(3,5),(5,2),(6,4),(6,5)],7)
[2,4,1,3,7,6,5]=>([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)
[2,4,1,5,3,6,7]=>([(0,3),(0,6),(1,5),(1,6),(3,5),(4,2),(5,4),(6,4)],7)
[2,4,1,5,3,7,6]=>([(0,2),(0,6),(1,5),(1,6),(2,5),(5,3),(5,4),(6,3),(6,4)],7)
[2,4,1,5,6,3,7]=>([(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(4,2),(6,5)],7)
[2,4,1,5,6,7,3]=>([(0,5),(0,6),(1,3),(1,6),(3,5),(4,2),(5,4)],7)
[2,4,1,5,7,3,6]=>([(0,3),(0,6),(1,5),(1,6),(3,5),(5,2),(5,4),(6,4)],7)
[2,4,1,5,7,6,3]=>([(0,5),(0,6),(1,4),(1,5),(4,6),(6,2),(6,3)],7)
[2,4,1,6,3,5,7]=>([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4)],7)
[2,4,1,6,3,7,5]=>([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3),(6,4)],7)
[2,4,1,6,5,3,7]=>([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[2,4,1,6,5,7,3]=>([(0,2),(0,4),(1,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3)],7)
[2,4,1,6,7,3,5]=>([(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(5,2),(6,4)],7)
[2,4,1,6,7,5,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(5,2)],7)
[2,4,1,7,3,5,6]=>([(0,3),(0,6),(1,4),(1,6),(3,4),(3,5),(5,2),(6,5)],7)
[2,4,1,7,3,6,5]=>([(0,2),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4)],7)
[2,4,1,7,5,3,6]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3)],7)
[2,4,1,7,5,6,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(5,2)],7)
[2,4,1,7,6,3,5]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3)],7)
[2,4,1,7,6,5,3]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5)],7)
[2,4,3,1,5,6,7]=>([(0,6),(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7)
[2,4,3,1,5,7,6]=>([(0,6),(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)
[2,4,3,1,6,5,7]=>([(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)
[2,4,3,1,6,7,5]=>([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)
[2,4,3,1,7,5,6]=>([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)
[2,4,3,1,7,6,5]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[2,4,3,5,1,6,7]=>([(0,6),(1,3),(1,4),(3,5),(4,5),(5,6),(6,2)],7)
[2,4,3,5,1,7,6]=>([(0,2),(0,3),(1,4),(1,5),(2,6),(3,6),(6,4),(6,5)],7)
[2,4,3,5,6,1,7]=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7)
[2,4,3,5,6,7,1]=>([(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7)
[2,4,3,5,7,1,6]=>([(0,5),(1,3),(1,4),(3,6),(4,6),(6,2),(6,5)],7)
[2,4,3,5,7,6,1]=>([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)
[2,4,3,6,1,5,7]=>([(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)
[2,4,3,6,1,7,5]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4)],7)
[2,4,3,6,5,1,7]=>([(0,6),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[2,4,3,6,5,7,1]=>([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)
[2,4,3,6,7,1,5]=>([(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4)],7)
[2,4,3,6,7,5,1]=>([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)
[2,4,3,7,1,5,6]=>([(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)
[2,4,3,7,1,6,5]=>([(0,5),(0,6),(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[2,4,3,7,5,1,6]=>([(0,2),(0,3),(1,4),(2,5),(2,6),(3,5),(3,6),(6,4)],7)
[2,4,3,7,5,6,1]=>([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)
[2,4,3,7,6,1,5]=>([(0,6),(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[2,4,3,7,6,5,1]=>([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[2,4,5,1,3,6,7]=>([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7)
[2,4,5,1,3,7,6]=>([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7)
[2,4,5,1,6,3,7]=>([(0,2),(0,6),(1,5),(1,6),(2,3),(3,5),(5,4),(6,4)],7)
[2,4,5,1,6,7,3]=>([(0,5),(0,6),(1,4),(1,5),(3,6),(4,3),(6,2)],7)
[2,4,5,1,7,3,6]=>([(0,2),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(6,4)],7)
[2,4,5,1,7,6,3]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5)],7)
[2,4,5,3,1,6,7]=>([(0,6),(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)
[2,4,5,3,1,7,6]=>([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)
[2,4,5,3,6,1,7]=>([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(5,6)],7)
[2,4,5,3,6,7,1]=>([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)
[2,4,5,3,7,1,6]=>([(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)
[2,4,5,3,7,6,1]=>([(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)
[2,4,5,6,1,3,7]=>([(0,6),(1,4),(1,6),(2,5),(3,2),(4,3),(6,5)],7)
[2,4,5,6,1,7,3]=>([(0,5),(0,6),(1,4),(1,6),(2,5),(3,2),(4,3)],7)
[2,4,5,6,3,1,7]=>([(0,6),(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7)
[2,4,5,6,3,7,1]=>([(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7)
[2,4,5,6,7,1,3]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)
[2,4,5,6,7,3,1]=>([(1,3),(1,6),(4,5),(5,2),(6,4)],7)
[2,4,5,7,1,3,6]=>([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7)
[2,4,5,7,1,6,3]=>([(0,5),(0,6),(1,3),(1,6),(3,4),(4,2),(4,5)],7)
[2,4,5,7,3,1,6]=>([(0,6),(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7)
[2,4,5,7,3,6,1]=>([(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7)
[2,4,5,7,6,1,3]=>([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7)
[2,4,5,7,6,3,1]=>([(1,4),(1,5),(5,6),(6,2),(6,3)],7)
[2,4,6,1,3,5,7]=>([(0,6),(1,3),(1,6),(2,4),(3,2),(3,5),(5,4),(6,5)],7)
[2,4,6,1,3,7,5]=>([(0,6),(1,3),(1,6),(2,5),(3,2),(3,4),(6,4),(6,5)],7)
[2,4,6,1,5,3,7]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,6),(4,6),(5,6)],7)
[2,4,6,1,5,7,3]=>([(0,3),(0,5),(1,5),(1,6),(2,4),(3,2),(3,6),(6,4)],7)
[2,4,6,1,7,3,5]=>([(0,3),(0,6),(1,5),(1,6),(2,5),(3,2),(3,4),(6,4)],7)
[2,4,6,1,7,5,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,5),(3,2),(3,4)],7)
[2,4,6,3,1,5,7]=>([(0,6),(1,2),(1,4),(2,6),(3,5),(4,3),(4,6),(6,5)],7)
[2,4,6,3,1,7,5]=>([(0,5),(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)
[2,4,6,3,5,1,7]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)
[2,4,6,3,5,7,1]=>([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)
[2,4,6,3,7,1,5]=>([(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)
[2,4,6,3,7,5,1]=>([(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)
[2,4,6,5,1,3,7]=>([(0,5),(1,4),(1,5),(2,6),(3,6),(4,2),(4,3),(5,6)],7)
[2,4,6,5,1,7,3]=>([(0,5),(0,6),(1,4),(1,5),(2,6),(3,6),(4,2),(4,3)],7)
[2,4,6,5,3,1,7]=>([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)
[2,4,6,5,3,7,1]=>([(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)
[2,4,6,5,7,1,3]=>([(0,6),(1,4),(1,6),(2,5),(3,5),(4,2),(4,3)],7)
[2,4,6,5,7,3,1]=>([(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)
[2,4,6,7,1,3,5]=>([(0,6),(1,4),(1,6),(3,2),(4,3),(4,5),(6,5)],7)
[2,4,6,7,1,5,3]=>([(0,5),(0,6),(1,4),(1,6),(3,2),(4,3),(4,5)],7)
[2,4,6,7,3,1,5]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7)
[2,4,6,7,3,5,1]=>([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7)
[2,4,6,7,5,1,3]=>([(0,6),(1,5),(1,6),(4,3),(5,2),(5,4)],7)
[2,4,6,7,5,3,1]=>([(1,4),(1,6),(5,3),(6,2),(6,5)],7)
[2,4,7,1,3,5,6]=>([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7)
[2,4,7,1,3,6,5]=>([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7)
[2,4,7,1,5,3,6]=>([(0,3),(0,6),(1,5),(1,6),(3,2),(3,5),(5,4),(6,4)],7)
[2,4,7,1,5,6,3]=>([(0,5),(0,6),(1,4),(1,5),(4,3),(4,6),(6,2)],7)
[2,4,7,1,6,3,5]=>([(0,3),(0,6),(1,5),(1,6),(3,2),(3,4),(3,5),(6,4)],7)
[2,4,7,1,6,5,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,2),(3,4),(3,5)],7)
[2,4,7,3,1,5,6]=>([(0,6),(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)
[2,4,7,3,1,6,5]=>([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)
[2,4,7,3,5,1,6]=>([(0,6),(1,3),(1,4),(3,5),(4,2),(4,5),(5,6)],7)
[2,4,7,3,5,6,1]=>([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)
[2,4,7,3,6,1,5]=>([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)
[2,4,7,3,6,5,1]=>([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)
[2,4,7,5,1,3,6]=>([(0,6),(1,4),(1,6),(3,5),(4,2),(4,3),(6,5)],7)
[2,4,7,5,1,6,3]=>([(0,5),(0,6),(1,4),(1,6),(3,5),(4,2),(4,3)],7)
[2,4,7,5,3,1,6]=>([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)
[2,4,7,5,3,6,1]=>([(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)
[2,4,7,5,6,1,3]=>([(0,6),(1,5),(1,6),(4,3),(5,2),(5,4)],7)
[2,4,7,5,6,3,1]=>([(1,4),(1,6),(5,3),(6,2),(6,5)],7)
[2,4,7,6,1,3,5]=>([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7)
[2,4,7,6,1,5,3]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(4,3),(4,5)],7)
[2,4,7,6,3,1,5]=>([(0,6),(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)
[2,4,7,6,3,5,1]=>([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)
[2,4,7,6,5,1,3]=>([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7)
[2,4,7,6,5,3,1]=>([(1,5),(1,6),(6,2),(6,3),(6,4)],7)
[2,5,1,3,4,6,7]=>([(0,6),(1,3),(1,6),(2,5),(3,5),(5,4),(6,2)],7)
[2,5,1,3,4,7,6]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2)],7)
[2,5,1,3,6,4,7]=>([(0,6),(1,3),(1,6),(2,4),(3,5),(5,4),(6,2),(6,5)],7)
[2,5,1,3,6,7,4]=>([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7)
[2,5,1,3,7,4,6]=>([(0,6),(1,3),(1,6),(2,5),(3,4),(3,5),(6,2),(6,4)],7)
[2,5,1,3,7,6,4]=>([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7)
[2,5,1,4,3,6,7]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(4,6),(5,6),(6,3)],7)
[2,5,1,4,3,7,6]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,1,4,6,3,7]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(4,3),(5,4),(6,3)],7)
[2,5,1,4,6,7,3]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(4,2),(6,4)],7)
[2,5,1,4,7,3,6]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(4,6),(5,3),(5,6)],7)
[2,5,1,4,7,6,3]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(6,3),(6,4)],7)
[2,5,1,6,3,4,7]=>([(0,3),(0,5),(1,5),(1,6),(2,4),(3,6),(5,2),(6,4)],7)
[2,5,1,6,3,7,4]=>([(0,3),(0,6),(1,5),(1,6),(3,5),(5,4),(6,2),(6,4)],7)
[2,5,1,6,4,3,7]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,1,6,4,7,3]=>([(0,2),(0,4),(0,6),(1,4),(1,5),(1,6),(2,5),(5,3),(6,3)],7)
[2,5,1,6,7,3,4]=>([(0,5),(0,6),(1,2),(1,6),(2,5),(5,3),(6,4)],7)
[2,5,1,6,7,4,3]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(4,2)],7)
[2,5,1,7,3,4,6]=>([(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(3,5),(6,2)],7)
[2,5,1,7,3,6,4]=>([(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(6,2),(6,4)],7)
[2,5,1,7,4,3,6]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)
[2,5,1,7,4,6,3]=>([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(6,3)],7)
[2,5,1,7,6,3,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(6,2)],7)
[2,5,1,7,6,4,3]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4)],7)
[2,5,3,1,4,6,7]=>([(0,5),(1,3),(1,4),(3,6),(4,5),(5,6),(6,2)],7)
[2,5,3,1,4,7,6]=>([(0,2),(0,3),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)
[2,5,3,1,6,4,7]=>([(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(5,4),(6,4)],7)
[2,5,3,1,6,7,4]=>([(0,5),(0,6),(1,2),(1,4),(2,6),(4,5),(4,6),(6,3)],7)
[2,5,3,1,7,4,6]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
[2,5,3,1,7,6,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[2,5,3,4,1,6,7]=>([(0,6),(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)
[2,5,3,4,1,7,6]=>([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)
[2,5,3,4,6,1,7]=>([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(5,6)],7)
[2,5,3,4,6,7,1]=>([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)
[2,5,3,4,7,1,6]=>([(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)
[2,5,3,4,7,6,1]=>([(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)
[2,5,3,6,1,4,7]=>([(0,2),(0,3),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)
[2,5,3,6,1,7,4]=>([(0,2),(0,3),(1,4),(1,5),(2,6),(3,5),(3,6),(6,4)],7)
[2,5,3,6,4,1,7]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)
[2,5,3,6,4,7,1]=>([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)
[2,5,3,6,7,1,4]=>([(0,5),(1,3),(1,4),(3,6),(4,5),(4,6),(6,2)],7)
[2,5,3,6,7,4,1]=>([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)
[2,5,3,7,1,4,6]=>([(0,2),(0,3),(1,6),(2,4),(2,5),(3,5),(3,6),(6,4)],7)
[2,5,3,7,1,6,4]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[2,5,3,7,4,1,6]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7)
[2,5,3,7,4,6,1]=>([(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)
[2,5,3,7,6,1,4]=>([(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[2,5,3,7,6,4,1]=>([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)
[2,5,4,1,3,6,7]=>([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7)
[2,5,4,1,3,7,6]=>([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,4,1,6,3,7]=>([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)
[2,5,4,1,6,7,3]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(6,4)],7)
[2,5,4,1,7,3,6]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[2,5,4,1,7,6,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7)
[2,5,4,3,1,6,7]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)
[2,5,4,3,1,7,6]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,4,3,6,1,7]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)
[2,5,4,3,6,7,1]=>([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)
[2,5,4,3,7,1,6]=>([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,4,3,7,6,1]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,4,6,1,3,7]=>([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7)
[2,5,4,6,1,7,3]=>([(0,2),(0,3),(0,5),(1,4),(1,5),(2,6),(3,6),(6,4)],7)
[2,5,4,6,3,1,7]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)
[2,5,4,6,3,7,1]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)
[2,5,4,6,7,1,3]=>([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7)
[2,5,4,6,7,3,1]=>([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)
[2,5,4,7,1,3,6]=>([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[2,5,4,7,1,6,3]=>([(0,4),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7)
[2,5,4,7,3,1,6]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,4,7,3,6,1]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,4,7,6,1,3]=>([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7)
[2,5,4,7,6,3,1]=>([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,6,1,3,4,7]=>([(0,6),(1,4),(1,6),(2,5),(3,5),(4,3),(6,2)],7)
[2,5,6,1,3,7,4]=>([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7)
[2,5,6,1,4,3,7]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,6,1,4,7,3]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(3,4),(6,4)],7)
[2,5,6,1,7,3,4]=>([(0,5),(0,6),(1,4),(1,6),(3,5),(4,3),(6,2)],7)
[2,5,6,1,7,4,3]=>([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4)],7)
[2,5,6,3,1,4,7]=>([(0,6),(1,2),(1,4),(2,6),(3,5),(4,3),(6,5)],7)
[2,5,6,3,1,7,4]=>([(0,5),(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2)],7)
[2,5,6,3,4,1,7]=>([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7)
[2,5,6,3,4,7,1]=>([(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7)
[2,5,6,3,7,1,4]=>([(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2)],7)
[2,5,6,3,7,4,1]=>([(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)
[2,5,6,4,1,3,7]=>([(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2),(5,6)],7)
[2,5,6,4,1,7,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2)],7)
[2,5,6,4,3,1,7]=>([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)
[2,5,6,4,3,7,1]=>([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)
[2,5,6,4,7,1,3]=>([(0,6),(1,3),(1,4),(1,6),(2,5),(3,5),(4,2)],7)
[2,5,6,4,7,3,1]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)
[2,5,6,7,1,3,4]=>([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7)
[2,5,6,7,1,4,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3)],7)
[2,5,6,7,3,1,4]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)
[2,5,6,7,3,4,1]=>([(1,5),(1,6),(4,3),(5,4),(6,2)],7)
[2,5,6,7,4,1,3]=>([(0,6),(1,3),(1,5),(1,6),(4,2),(5,4)],7)
[2,5,6,7,4,3,1]=>([(1,3),(1,4),(1,6),(5,2),(6,5)],7)
[2,5,7,1,3,4,6]=>([(0,6),(1,4),(1,6),(3,5),(4,2),(4,5),(6,3)],7)
[2,5,7,1,3,6,4]=>([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7)
[2,5,7,1,4,3,6]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)
[2,5,7,1,4,6,3]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,2),(3,4),(6,4)],7)
[2,5,7,1,6,3,4]=>([(0,5),(0,6),(1,4),(1,6),(4,3),(4,5),(6,2)],7)
[2,5,7,1,6,4,3]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(3,4)],7)
[2,5,7,3,1,4,6]=>([(0,6),(1,3),(1,4),(3,6),(4,2),(4,5),(6,5)],7)
[2,5,7,3,1,6,4]=>([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,6)],7)
[2,5,7,3,4,1,6]=>([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)
[2,5,7,3,4,6,1]=>([(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)
[2,5,7,3,6,1,4]=>([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5)],7)
[2,5,7,3,6,4,1]=>([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7)
[2,5,7,4,1,3,6]=>([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7)
[2,5,7,4,1,6,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6)],7)
[2,5,7,4,3,1,6]=>([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)
[2,5,7,4,3,6,1]=>([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)
[2,5,7,4,6,1,3]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7)
[2,5,7,4,6,3,1]=>([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)
[2,5,7,6,1,3,4]=>([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7)
[2,5,7,6,1,4,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(4,2),(4,3)],7)
[2,5,7,6,3,1,4]=>([(0,6),(1,4),(1,5),(4,6),(5,2),(5,3)],7)
[2,5,7,6,3,4,1]=>([(1,5),(1,6),(5,4),(6,2),(6,3)],7)
[2,5,7,6,4,1,3]=>([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7)
[2,5,7,6,4,3,1]=>([(1,4),(1,5),(1,6),(6,2),(6,3)],7)
[2,6,1,3,4,5,7]=>([(0,6),(1,3),(1,6),(2,5),(3,5),(4,2),(6,4)],7)
[2,6,1,3,4,7,5]=>([(0,6),(1,3),(1,6),(3,5),(4,2),(4,5),(6,4)],7)
[2,6,1,3,5,4,7]=>([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7)
[2,6,1,3,5,7,4]=>([(0,6),(1,4),(1,6),(3,5),(4,5),(6,2),(6,3)],7)
[2,6,1,3,7,4,5]=>([(0,6),(1,3),(1,6),(3,5),(4,2),(6,4),(6,5)],7)
[2,6,1,3,7,5,4]=>([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7)
[2,6,1,4,3,5,7]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(4,3),(5,4),(6,4)],7)
[2,6,1,4,3,7,5]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(4,3),(4,6),(5,3),(5,6)],7)
[2,6,1,4,5,3,7]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)
[2,6,1,4,5,7,3]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(3,4),(6,2)],7)
[2,6,1,4,7,3,5]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(5,3),(6,3),(6,4)],7)
[2,6,1,4,7,5,3]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(6,2),(6,4)],7)
[2,6,1,5,3,4,7]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)
[2,6,1,5,3,7,4]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)
[2,6,1,5,4,3,7]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)
[2,6,1,5,4,7,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(4,6),(5,6)],7)
[2,6,1,5,7,3,4]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(5,2),(6,4)],7)
[2,6,1,5,7,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(6,3)],7)
[2,6,1,7,3,4,5]=>([(0,5),(0,6),(1,3),(1,6),(3,5),(4,2),(6,4)],7)
[2,6,1,7,3,5,4]=>([(0,5),(0,6),(1,4),(1,6),(4,5),(6,2),(6,3)],7)
[2,6,1,7,4,3,5]=>([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(5,3),(6,3)],7)
[2,6,1,7,4,5,3]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(6,2)],7)
[2,6,1,7,5,3,4]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(6,2)],7)
[2,6,1,7,5,4,3]=>([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3)],7)
[2,6,3,1,4,5,7]=>([(0,6),(1,2),(1,4),(2,6),(3,5),(4,5),(6,3)],7)
[2,6,3,1,4,7,5]=>([(0,6),(1,3),(1,4),(3,6),(4,5),(6,2),(6,5)],7)
[2,6,3,1,5,4,7]=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,6,3,1,5,7,4]=>([(0,2),(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(6,5)],7)
[2,6,3,1,7,4,5]=>([(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(5,4)],7)
[2,6,3,1,7,5,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,4),(3,5),(3,6)],7)
[2,6,3,4,1,5,7]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7)
[2,6,3,4,1,7,5]=>([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7)
[2,6,3,4,5,1,7]=>([(0,6),(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7)
[2,6,3,4,5,7,1]=>([(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7)
[2,6,3,4,7,1,5]=>([(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(4,2)],7)
[2,6,3,4,7,5,1]=>([(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7)
[2,6,3,5,1,4,7]=>([(0,5),(1,3),(1,4),(2,6),(3,6),(4,2),(4,5),(5,6)],7)
[2,6,3,5,1,7,4]=>([(0,5),(0,6),(1,3),(1,4),(2,6),(3,6),(4,2),(4,5)],7)
[2,6,3,5,4,1,7]=>([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)
[2,6,3,5,4,7,1]=>([(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)
[2,6,3,5,7,1,4]=>([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(4,6)],7)
[2,6,3,5,7,4,1]=>([(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)
[2,6,3,7,1,4,5]=>([(0,6),(1,3),(1,4),(3,5),(4,5),(4,6),(6,2)],7)
[2,6,3,7,1,5,4]=>([(0,2),(0,3),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6)],7)
[2,6,3,7,4,1,5]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7)
[2,6,3,7,4,5,1]=>([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7)
[2,6,3,7,5,1,4]=>([(0,6),(1,3),(1,4),(3,5),(4,2),(4,5),(4,6)],7)
[2,6,3,7,5,4,1]=>([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)
[2,6,4,1,3,5,7]=>([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(5,4),(6,5)],7)
[2,6,4,1,3,7,5]=>([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,4,1,5,3,7]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,6),(4,6),(5,6)],7)
[2,6,4,1,5,7,3]=>([(0,2),(0,3),(0,5),(1,5),(1,6),(2,4),(3,6),(6,4)],7)
[2,6,4,1,7,3,5]=>([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5)],7)
[2,6,4,1,7,5,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6)],7)
[2,6,4,3,1,5,7]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)
[2,6,4,3,1,7,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,4,3,5,1,7]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)
[2,6,4,3,5,7,1]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)
[2,6,4,3,7,1,5]=>([(0,6),(1,2),(1,3),(1,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,4,3,7,5,1]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,4,5,1,3,7]=>([(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2),(5,6)],7)
[2,6,4,5,1,7,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2)],7)
[2,6,4,5,3,1,7]=>([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)
[2,6,4,5,3,7,1]=>([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)
[2,6,4,5,7,1,3]=>([(0,6),(1,3),(1,4),(1,6),(2,5),(3,5),(4,2)],7)
[2,6,4,5,7,3,1]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)
[2,6,4,7,1,3,5]=>([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7)
[2,6,4,7,1,5,3]=>([(0,2),(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(3,5)],7)
[2,6,4,7,3,1,5]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)
[2,6,4,7,3,5,1]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)
[2,6,4,7,5,1,3]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7)
[2,6,4,7,5,3,1]=>([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)
[2,6,5,1,3,4,7]=>([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(4,6),(5,4)],7)
[2,6,5,1,3,7,4]=>([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7)
[2,6,5,1,4,3,7]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)
[2,6,5,1,4,7,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(5,6)],7)
[2,6,5,1,7,3,4]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4)],7)
[2,6,5,1,7,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6)],7)
[2,6,5,3,1,4,7]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(5,6)],7)
[2,6,5,3,1,7,4]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],7)
[2,6,5,3,4,1,7]=>([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)
[2,6,5,3,4,7,1]=>([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)
[2,6,5,3,7,1,4]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],7)
[2,6,5,3,7,4,1]=>([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)
[2,6,5,4,1,3,7]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)
[2,6,5,4,1,7,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)
[2,6,5,4,3,1,7]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)
[2,6,5,4,3,7,1]=>([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)
[2,6,5,4,7,1,3]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)
[2,6,5,4,7,3,1]=>([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)
[2,6,5,7,1,3,4]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7)
[2,6,5,7,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(3,4)],7)
[2,6,5,7,3,1,4]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5)],7)
[2,6,5,7,3,4,1]=>([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)
[2,6,5,7,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7)
[2,6,5,7,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)
[2,6,7,1,3,4,5]=>([(0,6),(1,4),(1,6),(4,3),(5,2),(6,5)],7)
[2,6,7,1,3,5,4]=>([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7)
[2,6,7,1,4,3,5]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,2),(5,4),(6,4)],7)
[2,6,7,1,4,5,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(4,3),(6,2)],7)
[2,6,7,1,5,3,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(4,3),(6,2)],7)
[2,6,7,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,2)],7)
[2,6,7,3,1,4,5]=>([(0,6),(1,3),(1,5),(3,6),(5,2),(6,4)],7)
[2,6,7,3,1,5,4]=>([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2)],7)
[2,6,7,3,4,1,5]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)
[2,6,7,3,4,5,1]=>([(1,5),(1,6),(4,3),(5,4),(6,2)],7)
[2,6,7,3,5,1,4]=>([(0,6),(1,4),(1,5),(4,3),(5,2),(5,6)],7)
[2,6,7,3,5,4,1]=>([(1,5),(1,6),(5,4),(6,2),(6,3)],7)
[2,6,7,4,1,3,5]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7)
[2,6,7,4,1,5,3]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(3,5),(4,2)],7)
[2,6,7,4,3,1,5]=>([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)
[2,6,7,4,3,5,1]=>([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)
[2,6,7,4,5,1,3]=>([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7)
[2,6,7,4,5,3,1]=>([(1,4),(1,5),(1,6),(5,3),(6,2)],7)
[2,6,7,5,1,3,4]=>([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7)
[2,6,7,5,1,4,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(4,2)],7)
[2,6,7,5,3,1,4]=>([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7)
[2,6,7,5,3,4,1]=>([(1,4),(1,5),(1,6),(5,3),(6,2)],7)
[2,6,7,5,4,1,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)
[2,6,7,5,4,3,1]=>([(1,3),(1,4),(1,5),(1,6),(6,2)],7)
[2,7,1,3,4,5,6]=>([(0,6),(1,3),(1,6),(4,2),(5,4),(6,5)],7)
[2,7,1,3,4,6,5]=>([(0,6),(1,4),(1,6),(5,2),(5,3),(6,5)],7)
[2,7,1,3,5,4,6]=>([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7)
[2,7,1,3,5,6,4]=>([(0,6),(1,3),(1,6),(5,2),(6,4),(6,5)],7)
[2,7,1,3,6,4,5]=>([(0,6),(1,3),(1,6),(5,2),(6,4),(6,5)],7)
[2,7,1,3,6,5,4]=>([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7)
[2,7,1,4,3,5,6]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(4,2),(5,4),(6,4)],7)
[2,7,1,4,3,6,5]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(5,3),(5,4),(6,3),(6,4)],7)
[2,7,1,4,5,3,6]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(3,4),(5,3),(6,4)],7)
[2,7,1,4,5,6,3]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(4,2),(6,4)],7)
[2,7,1,4,6,3,5]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(5,4),(6,2),(6,4)],7)
[2,7,1,4,6,5,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(6,2),(6,3)],7)
[2,7,1,5,3,4,6]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(3,4),(5,3),(6,4)],7)
[2,7,1,5,3,6,4]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(5,4),(6,2),(6,4)],7)
[2,7,1,5,4,3,6]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)
[2,7,1,5,4,6,3]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(5,3),(6,3)],7)
[2,7,1,5,6,3,4]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(5,4),(6,3)],7)
[2,7,1,5,6,4,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)
[2,7,1,6,3,4,5]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(4,2),(6,4)],7)
[2,7,1,6,3,5,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(6,2),(6,3)],7)
[2,7,1,6,4,3,5]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(5,3),(6,3)],7)
[2,7,1,6,4,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)
[2,7,1,6,5,3,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)
[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)
[2,7,3,1,4,5,6]=>([(0,6),(1,3),(1,4),(4,6),(5,2),(6,5)],7)
[2,7,3,1,4,6,5]=>([(0,6),(1,2),(1,3),(3,6),(6,4),(6,5)],7)
[2,7,3,1,5,4,6]=>([(0,2),(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,4)],7)
[2,7,3,1,5,6,4]=>([(0,5),(0,6),(1,3),(1,4),(4,5),(4,6),(6,2)],7)
[2,7,3,1,6,4,5]=>([(0,5),(0,6),(1,3),(1,4),(4,5),(4,6),(6,2)],7)
[2,7,3,1,6,5,4]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)
[2,7,3,4,1,5,6]=>([(0,6),(1,2),(1,5),(3,6),(5,3),(6,4)],7)
[2,7,3,4,1,6,5]=>([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7)
[2,7,3,4,5,1,6]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)
[2,7,3,4,5,6,1]=>([(1,3),(1,6),(4,5),(5,2),(6,4)],7)
[2,7,3,4,6,1,5]=>([(0,6),(1,3),(1,4),(4,5),(5,2),(5,6)],7)
[2,7,3,4,6,5,1]=>([(1,4),(1,5),(5,6),(6,2),(6,3)],7)
[2,7,3,5,1,4,6]=>([(0,6),(1,2),(1,4),(3,5),(4,3),(4,6),(6,5)],7)
[2,7,3,5,1,6,4]=>([(0,5),(0,6),(1,2),(1,4),(3,5),(4,3),(4,6)],7)
[2,7,3,5,4,1,6]=>([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)
[2,7,3,5,4,6,1]=>([(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)
[2,7,3,5,6,1,4]=>([(0,6),(1,3),(1,5),(4,2),(5,4),(5,6)],7)
[2,7,3,5,6,4,1]=>([(1,4),(1,6),(5,3),(6,2),(6,5)],7)
[2,7,3,6,1,4,5]=>([(0,6),(1,3),(1,5),(5,2),(5,6),(6,4)],7)
[2,7,3,6,1,5,4]=>([(0,5),(0,6),(1,3),(1,4),(4,2),(4,5),(4,6)],7)
[2,7,3,6,4,1,5]=>([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7)
[2,7,3,6,4,5,1]=>([(1,4),(1,6),(5,3),(6,2),(6,5)],7)
[2,7,3,6,5,1,4]=>([(0,6),(1,4),(1,5),(5,2),(5,3),(5,6)],7)
[2,7,3,6,5,4,1]=>([(1,5),(1,6),(6,2),(6,3),(6,4)],7)
[2,7,4,1,3,5,6]=>([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7)
[2,7,4,1,3,6,5]=>([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7)
[2,7,4,1,5,3,6]=>([(0,2),(0,3),(0,6),(1,5),(1,6),(3,5),(5,4),(6,4)],7)
[2,7,4,1,5,6,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(4,6),(6,2)],7)
[2,7,4,1,6,3,5]=>([(0,2),(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(6,4)],7)
[2,7,4,1,6,5,3]=>([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5)],7)
[2,7,4,3,1,5,6]=>([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)
[2,7,4,3,1,6,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,4,3,5,1,6]=>([(0,6),(1,2),(1,3),(1,4),(3,5),(4,5),(5,6)],7)
[2,7,4,3,5,6,1]=>([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)
[2,7,4,3,6,1,5]=>([(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,4,3,6,5,1]=>([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,4,5,1,3,6]=>([(0,6),(1,2),(1,4),(1,6),(3,5),(4,3),(6,5)],7)
[2,7,4,5,1,6,3]=>([(0,5),(0,6),(1,2),(1,4),(1,6),(3,5),(4,3)],7)
[2,7,4,5,3,1,6]=>([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)
[2,7,4,5,3,6,1]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)
[2,7,4,5,6,1,3]=>([(0,6),(1,3),(1,5),(1,6),(4,2),(5,4)],7)
[2,7,4,5,6,3,1]=>([(1,3),(1,4),(1,6),(5,2),(6,5)],7)
[2,7,4,6,1,3,5]=>([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7)
[2,7,4,6,1,5,3]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(4,2),(4,5)],7)
[2,7,4,6,3,1,5]=>([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)
[2,7,4,6,3,5,1]=>([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)
[2,7,4,6,5,1,3]=>([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7)
[2,7,4,6,5,3,1]=>([(1,4),(1,5),(1,6),(6,2),(6,3)],7)
[2,7,5,1,3,4,6]=>([(0,6),(1,2),(1,4),(1,6),(3,5),(4,5),(6,3)],7)
[2,7,5,1,3,6,4]=>([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7)
[2,7,5,1,4,3,6]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)
[2,7,5,1,4,6,3]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(3,4),(6,4)],7)
[2,7,5,1,6,3,4]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(4,5),(6,2)],7)
[2,7,5,1,6,4,3]=>([(0,2),(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4)],7)
[2,7,5,3,1,4,6]=>([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7)
[2,7,5,3,1,6,4]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(4,6)],7)
[2,7,5,3,4,1,6]=>([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)
[2,7,5,3,4,6,1]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)
[2,7,5,3,6,1,4]=>([(0,6),(1,2),(1,3),(1,4),(3,5),(4,5),(4,6)],7)
[2,7,5,3,6,4,1]=>([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)
[2,7,5,4,1,3,6]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)
[2,7,5,4,1,6,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6)],7)
[2,7,5,4,3,1,6]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)
[2,7,5,4,3,6,1]=>([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)
[2,7,5,4,6,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7)
[2,7,5,4,6,3,1]=>([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)
[2,7,5,6,1,3,4]=>([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7)
[2,7,5,6,1,4,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(4,2)],7)
[2,7,5,6,3,1,4]=>([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7)
[2,7,5,6,3,4,1]=>([(1,4),(1,5),(1,6),(5,3),(6,2)],7)
[2,7,5,6,4,1,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)
[2,7,5,6,4,3,1]=>([(1,3),(1,4),(1,5),(1,6),(6,2)],7)
[2,7,6,1,3,4,5]=>([(0,6),(1,3),(1,4),(1,6),(5,2),(6,5)],7)
[2,7,6,1,3,5,4]=>([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7)
[2,7,6,1,4,3,5]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(5,4),(6,4)],7)
[2,7,6,1,4,5,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)
[2,7,6,1,5,3,4]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)
[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)
[2,7,6,3,1,4,5]=>([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7)
[2,7,6,3,1,5,4]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7)
[2,7,6,3,4,1,5]=>([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7)
[2,7,6,3,4,5,1]=>([(1,3),(1,4),(1,6),(5,2),(6,5)],7)
[2,7,6,3,5,1,4]=>([(0,6),(1,3),(1,4),(1,5),(5,2),(5,6)],7)
[2,7,6,3,5,4,1]=>([(1,4),(1,5),(1,6),(6,2),(6,3)],7)
[2,7,6,4,1,3,5]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7)
[2,7,6,4,1,5,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(4,5)],7)
[2,7,6,4,3,1,5]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)
[2,7,6,4,3,5,1]=>([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)
[2,7,6,4,5,1,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)
[2,7,6,4,5,3,1]=>([(1,3),(1,4),(1,5),(1,6),(6,2)],7)
[2,7,6,5,1,3,4]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7)
[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)
[2,7,6,5,3,1,4]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)
[2,7,6,5,3,4,1]=>([(1,3),(1,4),(1,5),(1,6),(6,2)],7)
[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)
[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)
[3,1,2,4,5,6,7]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[3,1,2,4,5,7,6]=>([(0,6),(1,4),(4,6),(5,2),(5,3),(6,5)],7)
[3,1,2,4,6,5,7]=>([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7)
[3,1,2,4,6,7,5]=>([(0,6),(1,3),(3,6),(5,2),(6,4),(6,5)],7)
[3,1,2,4,7,5,6]=>([(0,6),(1,3),(3,6),(5,2),(6,4),(6,5)],7)
[3,1,2,4,7,6,5]=>([(0,6),(1,2),(2,6),(6,3),(6,4),(6,5)],7)
[3,1,2,5,4,6,7]=>([(0,3),(1,5),(1,6),(3,5),(3,6),(4,2),(5,4),(6,4)],7)
[3,1,2,5,4,7,6]=>([(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)
[3,1,2,5,6,4,7]=>([(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(4,2),(6,5)],7)
[3,1,2,5,6,7,4]=>([(0,5),(0,6),(1,3),(3,5),(3,6),(4,2),(6,4)],7)
[3,1,2,5,7,4,6]=>([(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,2),(6,4)],7)
[3,1,2,5,7,6,4]=>([(0,5),(0,6),(1,4),(4,5),(4,6),(6,2),(6,3)],7)
[3,1,2,6,4,5,7]=>([(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(4,2),(6,5)],7)
[3,1,2,6,4,7,5]=>([(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,2),(6,4)],7)
[3,1,2,6,5,4,7]=>([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,1,2,6,5,7,4]=>([(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)
[3,1,2,6,7,4,5]=>([(0,5),(0,6),(1,2),(2,5),(2,6),(5,4),(6,3)],7)
[3,1,2,6,7,5,4]=>([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(6,2)],7)
[3,1,2,7,4,5,6]=>([(0,5),(0,6),(1,3),(3,5),(3,6),(4,2),(6,4)],7)
[3,1,2,7,4,6,5]=>([(0,5),(0,6),(1,4),(4,5),(4,6),(6,2),(6,3)],7)
[3,1,2,7,5,4,6]=>([(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)
[3,1,2,7,5,6,4]=>([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(6,2)],7)
[3,1,2,7,6,4,5]=>([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(6,2)],7)
[3,1,2,7,6,5,4]=>([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[3,1,4,2,5,6,7]=>([(0,6),(1,3),(1,6),(3,5),(4,2),(5,4),(6,5)],7)
[3,1,4,2,5,7,6]=>([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7)
[3,1,4,2,6,5,7]=>([(0,6),(1,2),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)
[3,1,4,2,6,7,5]=>([(0,6),(1,3),(1,6),(3,4),(3,5),(5,2),(6,4),(6,5)],7)
[3,1,4,2,7,5,6]=>([(0,6),(1,3),(1,6),(3,4),(3,5),(5,2),(6,4),(6,5)],7)
[3,1,4,2,7,6,5]=>([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)
[3,1,4,5,2,6,7]=>([(0,6),(1,3),(1,6),(2,5),(3,5),(5,4),(6,2)],7)
[3,1,4,5,2,7,6]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2)],7)
[3,1,4,5,6,2,7]=>([(0,6),(1,3),(1,6),(2,5),(3,5),(4,2),(6,4)],7)
[3,1,4,5,6,7,2]=>([(0,6),(1,3),(1,6),(4,2),(5,4),(6,5)],7)
[3,1,4,5,7,2,6]=>([(0,6),(1,3),(1,6),(3,5),(4,2),(4,5),(6,4)],7)
[3,1,4,5,7,6,2]=>([(0,6),(1,4),(1,6),(5,2),(5,3),(6,5)],7)
[3,1,4,6,2,5,7]=>([(0,6),(1,3),(1,6),(2,4),(3,5),(5,4),(6,2),(6,5)],7)
[3,1,4,6,2,7,5]=>([(0,6),(1,3),(1,6),(2,5),(3,4),(3,5),(6,2),(6,4)],7)
[3,1,4,6,5,2,7]=>([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7)
[3,1,4,6,5,7,2]=>([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7)
[3,1,4,6,7,2,5]=>([(0,6),(1,3),(1,6),(3,5),(4,2),(6,4),(6,5)],7)
[3,1,4,6,7,5,2]=>([(0,6),(1,3),(1,6),(5,2),(6,4),(6,5)],7)
[3,1,4,7,2,5,6]=>([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7)
[3,1,4,7,2,6,5]=>([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7)
[3,1,4,7,5,2,6]=>([(0,6),(1,4),(1,6),(3,5),(4,5),(6,2),(6,3)],7)
[3,1,4,7,5,6,2]=>([(0,6),(1,3),(1,6),(5,2),(6,4),(6,5)],7)
[3,1,4,7,6,2,5]=>([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7)
[3,1,4,7,6,5,2]=>([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7)
[3,1,5,2,4,6,7]=>([(0,3),(0,6),(1,5),(1,6),(3,5),(4,2),(5,4),(6,4)],7)
[3,1,5,2,4,7,6]=>([(0,2),(0,6),(1,5),(1,6),(2,5),(5,3),(5,4),(6,3),(6,4)],7)
[3,1,5,2,6,4,7]=>([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4)],7)
[3,1,5,2,6,7,4]=>([(0,3),(0,6),(1,4),(1,6),(3,4),(3,5),(5,2),(6,5)],7)
[3,1,5,2,7,4,6]=>([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3),(6,4)],7)
[3,1,5,2,7,6,4]=>([(0,2),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4)],7)
[3,1,5,4,2,6,7]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(4,6),(5,6),(6,3)],7)
[3,1,5,4,2,7,6]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,4,6,2,7]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(4,3),(5,4),(6,4)],7)
[3,1,5,4,6,7,2]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(4,2),(5,4),(6,4)],7)
[3,1,5,4,7,2,6]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(4,3),(4,6),(5,3),(5,6)],7)
[3,1,5,4,7,6,2]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(5,3),(5,4),(6,3),(6,4)],7)
[3,1,5,6,2,4,7]=>([(0,3),(0,5),(1,5),(1,6),(2,4),(3,6),(5,2),(6,4)],7)
[3,1,5,6,2,7,4]=>([(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(3,5),(6,2)],7)
[3,1,5,6,4,2,7]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)
[3,1,5,6,4,7,2]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(3,4),(5,3),(6,4)],7)
[3,1,5,6,7,2,4]=>([(0,5),(0,6),(1,3),(1,6),(3,5),(4,2),(6,4)],7)
[3,1,5,6,7,4,2]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(4,2),(6,4)],7)
[3,1,5,7,2,4,6]=>([(0,3),(0,6),(1,5),(1,6),(3,5),(5,4),(6,2),(6,4)],7)
[3,1,5,7,2,6,4]=>([(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(6,2),(6,4)],7)
[3,1,5,7,4,2,6]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)
[3,1,5,7,4,6,2]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(5,4),(6,2),(6,4)],7)
[3,1,5,7,6,2,4]=>([(0,5),(0,6),(1,4),(1,6),(4,5),(6,2),(6,3)],7)
[3,1,5,7,6,4,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(6,2),(6,3)],7)
[3,1,6,2,4,5,7]=>([(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(4,2),(6,5)],7)
[3,1,6,2,4,7,5]=>([(0,3),(0,6),(1,5),(1,6),(3,5),(5,2),(5,4),(6,4)],7)
[3,1,6,2,5,4,7]=>([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[3,1,6,2,5,7,4]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3)],7)
[3,1,6,2,7,4,5]=>([(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(5,2),(6,4)],7)
[3,1,6,2,7,5,4]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3)],7)
[3,1,6,4,2,5,7]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(4,3),(5,4),(6,3)],7)
[3,1,6,4,2,7,5]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(4,6),(5,3),(5,6)],7)
[3,1,6,4,5,2,7]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)
[3,1,6,4,5,7,2]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(3,4),(5,3),(6,4)],7)
[3,1,6,4,7,2,5]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(5,3),(6,3),(6,4)],7)
[3,1,6,4,7,5,2]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(5,4),(6,2),(6,4)],7)
[3,1,6,5,2,4,7]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)
[3,1,6,5,2,7,4]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)
[3,1,6,5,4,2,7]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)
[3,1,6,5,4,7,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)
[3,1,6,5,7,2,4]=>([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(5,3),(6,3)],7)
[3,1,6,5,7,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(5,3),(6,3)],7)
[3,1,6,7,2,4,5]=>([(0,5),(0,6),(1,2),(1,6),(2,5),(5,3),(6,4)],7)
[3,1,6,7,2,5,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(6,2)],7)
[3,1,6,7,4,2,5]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(5,2),(6,4)],7)
[3,1,6,7,4,5,2]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(5,4),(6,3)],7)
[3,1,6,7,5,2,4]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(6,2)],7)
[3,1,6,7,5,4,2]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)
[3,1,7,2,4,5,6]=>([(0,5),(0,6),(1,3),(1,6),(3,5),(4,2),(5,4)],7)
[3,1,7,2,4,6,5]=>([(0,5),(0,6),(1,4),(1,5),(4,6),(6,2),(6,3)],7)
[3,1,7,2,5,4,6]=>([(0,2),(0,4),(1,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3)],7)
[3,1,7,2,5,6,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(5,2)],7)
[3,1,7,2,6,4,5]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(5,2)],7)
[3,1,7,2,6,5,4]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5)],7)
[3,1,7,4,2,5,6]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(4,2),(6,4)],7)
[3,1,7,4,2,6,5]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(6,3),(6,4)],7)
[3,1,7,4,5,2,6]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(3,4),(6,2)],7)
[3,1,7,4,5,6,2]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(4,2),(6,4)],7)
[3,1,7,4,6,2,5]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(6,2),(6,4)],7)
[3,1,7,4,6,5,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(6,2),(6,3)],7)
[3,1,7,5,2,4,6]=>([(0,2),(0,4),(0,6),(1,4),(1,5),(1,6),(2,5),(5,3),(6,3)],7)
[3,1,7,5,2,6,4]=>([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(6,3)],7)
[3,1,7,5,4,2,6]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(4,6),(5,6)],7)
[3,1,7,5,4,6,2]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(5,3),(6,3)],7)
[3,1,7,5,6,2,4]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(6,2)],7)
[3,1,7,5,6,4,2]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)
[3,1,7,6,2,4,5]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(4,2)],7)
[3,1,7,6,2,5,4]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4)],7)
[3,1,7,6,4,2,5]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(6,3)],7)
[3,1,7,6,4,5,2]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)
[3,1,7,6,5,2,4]=>([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3)],7)
[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)
[3,2,1,4,5,6,7]=>([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7)
[3,2,1,4,5,7,6]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7)
[3,2,1,4,6,5,7]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7)
[3,2,1,4,6,7,5]=>([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7)
[3,2,1,4,7,5,6]=>([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7)
[3,2,1,4,7,6,5]=>([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7)
[3,2,1,5,4,6,7]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)
[3,2,1,5,4,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)
[3,2,1,5,6,4,7]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7)
[3,2,1,5,6,7,4]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)
[3,2,1,5,7,4,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7)
[3,2,1,5,7,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)
[3,2,1,6,4,5,7]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7)
[3,2,1,6,4,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7)
[3,2,1,6,5,4,7]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,3),(5,3),(6,3)],7)
[3,2,1,6,5,7,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)
[3,2,1,6,7,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)
[3,2,1,6,7,5,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)
[3,2,1,7,4,5,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)
[3,2,1,7,4,6,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)
[3,2,1,7,5,4,6]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)
[3,2,1,7,5,6,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)
[3,2,1,7,6,4,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)
[3,2,1,7,6,5,4]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[3,2,4,1,5,6,7]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[3,2,4,1,5,7,6]=>([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7)
[3,2,4,1,6,5,7]=>([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)
[3,2,4,1,6,7,5]=>([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)
[3,2,4,1,7,5,6]=>([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)
[3,2,4,1,7,6,5]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)
[3,2,4,5,1,6,7]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[3,2,4,5,1,7,6]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7)
[3,2,4,5,6,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[3,2,4,5,6,7,1]=>([(1,6),(2,6),(3,5),(5,4),(6,3)],7)
[3,2,4,5,7,1,6]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7)
[3,2,4,5,7,6,1]=>([(1,6),(2,6),(3,4),(3,5),(6,3)],7)
[3,2,4,6,1,5,7]=>([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7)
[3,2,4,6,1,7,5]=>([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7)
[3,2,4,6,5,1,7]=>([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)
[3,2,4,6,5,7,1]=>([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)
[3,2,4,6,7,1,5]=>([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7)
[3,2,4,6,7,5,1]=>([(1,6),(2,6),(4,5),(6,3),(6,4)],7)
[3,2,4,7,1,5,6]=>([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7)
[3,2,4,7,1,6,5]=>([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7)
[3,2,4,7,5,1,6]=>([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7)
[3,2,4,7,5,6,1]=>([(1,6),(2,6),(4,5),(6,3),(6,4)],7)
[3,2,4,7,6,1,5]=>([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7)
[3,2,4,7,6,5,1]=>([(1,6),(2,6),(6,3),(6,4),(6,5)],7)
[3,2,5,1,4,6,7]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7)
[3,2,5,1,4,7,6]=>([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)
[3,2,5,1,6,4,7]=>([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7)
[3,2,5,1,6,7,4]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7)
[3,2,5,1,7,4,6]=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)
[3,2,5,1,7,6,4]=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7)
[3,2,5,4,1,6,7]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)
[3,2,5,4,1,7,6]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,5,4,6,1,7]=>([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)
[3,2,5,4,6,7,1]=>([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)
[3,2,5,4,7,1,6]=>([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,5,4,7,6,1]=>([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)
[3,2,5,6,1,4,7]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7)
[3,2,5,6,1,7,4]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7)
[3,2,5,6,4,1,7]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)
[3,2,5,6,4,7,1]=>([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)
[3,2,5,6,7,1,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7)
[3,2,5,6,7,4,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)
[3,2,5,7,1,4,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7)
[3,2,5,7,1,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7)
[3,2,5,7,4,1,6]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7)
[3,2,5,7,4,6,1]=>([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)
[3,2,5,7,6,1,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7)
[3,2,5,7,6,4,1]=>([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)
[3,2,6,1,4,5,7]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7)
[3,2,6,1,4,7,5]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)
[3,2,6,1,5,4,7]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,2,6,1,5,7,4]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)
[3,2,6,1,7,4,5]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)
[3,2,6,1,7,5,4]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)
[3,2,6,4,1,5,7]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)
[3,2,6,4,1,7,5]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[3,2,6,4,5,1,7]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)
[3,2,6,4,5,7,1]=>([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)
[3,2,6,4,7,1,5]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7)
[3,2,6,4,7,5,1]=>([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)
[3,2,6,5,1,4,7]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,2,6,5,1,7,4]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)
[3,2,6,5,4,1,7]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,2,6,5,4,7,1]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,2,6,5,7,1,4]=>([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)
[3,2,6,5,7,4,1]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)
[3,2,6,7,1,4,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)
[3,2,6,7,1,5,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,3)],7)
[3,2,6,7,4,1,5]=>([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)
[3,2,6,7,4,5,1]=>([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)
[3,2,6,7,5,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7)
[3,2,6,7,5,4,1]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)
[3,2,7,1,4,5,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)
[3,2,7,1,4,6,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)
[3,2,7,1,5,4,6]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)
[3,2,7,1,5,6,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)
[3,2,7,1,6,4,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)
[3,2,7,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[3,2,7,4,1,5,6]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7)
[3,2,7,4,1,6,5]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)
[3,2,7,4,5,1,6]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7)
[3,2,7,4,5,6,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)
[3,2,7,4,6,1,5]=>([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7)
[3,2,7,4,6,5,1]=>([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)
[3,2,7,5,1,4,6]=>([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)
[3,2,7,5,1,6,4]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5)],7)
[3,2,7,5,4,1,6]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)
[3,2,7,5,4,6,1]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)
[3,2,7,5,6,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7)
[3,2,7,5,6,4,1]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)
[3,2,7,6,1,4,5]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)
[3,2,7,6,1,5,4]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[3,2,7,6,4,1,5]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)
[3,2,7,6,4,5,1]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)
[3,2,7,6,5,1,4]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[3,2,7,6,5,4,1]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[3,4,1,2,5,6,7]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[3,4,1,2,5,7,6]=>([(0,5),(1,4),(4,6),(5,6),(6,2),(6,3)],7)
[3,4,1,2,6,5,7]=>([(0,3),(1,2),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)
[3,4,1,2,6,7,5]=>([(0,4),(1,3),(3,5),(3,6),(4,5),(4,6),(6,2)],7)
[3,4,1,2,7,5,6]=>([(0,4),(1,3),(3,5),(3,6),(4,5),(4,6),(6,2)],7)
[3,4,1,2,7,6,5]=>([(0,3),(1,2),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[3,4,1,5,2,6,7]=>([(0,4),(1,3),(1,5),(3,6),(4,5),(5,6),(6,2)],7)
[3,4,1,5,2,7,6]=>([(0,2),(1,3),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)
[3,4,1,5,6,2,7]=>([(0,3),(1,4),(1,6),(2,5),(3,6),(4,5),(6,2)],7)
[3,4,1,5,6,7,2]=>([(0,4),(1,3),(1,6),(4,6),(5,2),(6,5)],7)
[3,4,1,5,7,2,6]=>([(0,3),(1,4),(1,6),(3,6),(4,5),(6,2),(6,5)],7)
[3,4,1,5,7,6,2]=>([(0,5),(1,4),(1,6),(5,6),(6,2),(6,3)],7)
[3,4,1,6,2,5,7]=>([(0,3),(1,2),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)
[3,4,1,6,2,7,5]=>([(0,3),(1,2),(1,6),(2,4),(2,5),(3,4),(3,6),(6,5)],7)
[3,4,1,6,5,2,7]=>([(0,3),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,1,6,5,7,2]=>([(0,3),(1,2),(1,5),(1,6),(3,5),(3,6),(5,4),(6,4)],7)
[3,4,1,6,7,2,5]=>([(0,4),(1,3),(1,6),(3,5),(4,5),(4,6),(6,2)],7)
[3,4,1,6,7,5,2]=>([(0,4),(1,3),(1,5),(1,6),(4,5),(4,6),(6,2)],7)
[3,4,1,7,2,5,6]=>([(0,4),(1,3),(1,5),(3,6),(4,5),(4,6),(6,2)],7)
[3,4,1,7,2,6,5]=>([(0,3),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[3,4,1,7,5,2,6]=>([(0,3),(1,2),(1,4),(1,6),(2,5),(3,4),(3,6),(6,5)],7)
[3,4,1,7,5,6,2]=>([(0,4),(1,3),(1,5),(1,6),(4,5),(4,6),(6,2)],7)
[3,4,1,7,6,2,5]=>([(0,3),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6)],7)
[3,4,1,7,6,5,2]=>([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)
[3,4,2,1,5,6,7]=>([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)
[3,4,2,1,5,7,6]=>([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7)
[3,4,2,1,6,5,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)
[3,4,2,1,6,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)
[3,4,2,1,7,5,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)
[3,4,2,1,7,6,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)
[3,4,2,5,1,6,7]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[3,4,2,5,1,7,6]=>([(0,6),(1,4),(1,5),(2,3),(3,6),(6,4),(6,5)],7)
[3,4,2,5,6,1,7]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[3,4,2,5,6,7,1]=>([(1,6),(2,3),(3,6),(4,5),(6,4)],7)
[3,4,2,5,7,1,6]=>([(0,6),(1,5),(2,3),(3,6),(6,4),(6,5)],7)
[3,4,2,5,7,6,1]=>([(1,6),(2,3),(3,6),(6,4),(6,5)],7)
[3,4,2,6,1,5,7]=>([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)
[3,4,2,6,1,7,5]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(5,4)],7)
[3,4,2,6,5,1,7]=>([(0,6),(1,4),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,2,6,5,7,1]=>([(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)
[3,4,2,6,7,1,5]=>([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4)],7)
[3,4,2,6,7,5,1]=>([(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)
[3,4,2,7,1,5,6]=>([(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)
[3,4,2,7,1,6,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)
[3,4,2,7,5,1,6]=>([(0,4),(1,5),(1,6),(2,3),(3,5),(3,6),(6,4)],7)
[3,4,2,7,5,6,1]=>([(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)
[3,4,2,7,6,1,5]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)
[3,4,2,7,6,5,1]=>([(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)
[3,4,5,1,2,6,7]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[3,4,5,1,2,7,6]=>([(0,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)
[3,4,5,1,6,2,7]=>([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(6,5)],7)
[3,4,5,1,6,7,2]=>([(0,5),(1,4),(1,6),(2,6),(5,2),(6,3)],7)
[3,4,5,1,7,2,6]=>([(0,3),(0,6),(1,4),(2,5),(2,6),(3,5),(4,2)],7)
[3,4,5,1,7,6,2]=>([(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(4,2)],7)
[3,4,5,2,1,6,7]=>([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)
[3,4,5,2,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)
[3,4,5,2,6,1,7]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[3,4,5,2,6,7,1]=>([(1,6),(2,3),(3,5),(5,6),(6,4)],7)
[3,4,5,2,7,1,6]=>([(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)
[3,4,5,2,7,6,1]=>([(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)
[3,4,5,6,1,2,7]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,5,6,1,7,2]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)
[3,4,5,6,2,1,7]=>([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)
[3,4,5,6,2,7,1]=>([(1,3),(2,6),(3,5),(4,6),(5,4)],7)
[3,4,5,6,7,1,2]=>([(0,6),(1,3),(4,5),(5,2),(6,4)],7)
[3,4,5,6,7,2,1]=>([(2,6),(4,5),(5,3),(6,4)],7)
[3,4,5,7,1,2,6]=>([(0,5),(1,3),(3,6),(4,2),(4,6),(5,4)],7)
[3,4,5,7,1,6,2]=>([(0,5),(1,3),(1,6),(4,2),(4,6),(5,4)],7)
[3,4,5,7,2,1,6]=>([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7)
[3,4,5,7,2,6,1]=>([(1,3),(2,6),(3,5),(5,4),(5,6)],7)
[3,4,5,7,6,1,2]=>([(0,4),(1,5),(5,6),(6,2),(6,3)],7)
[3,4,5,7,6,2,1]=>([(2,5),(5,6),(6,3),(6,4)],7)
[3,4,6,1,2,5,7]=>([(0,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)
[3,4,6,1,2,7,5]=>([(0,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)
[3,4,6,1,5,2,7]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(4,2),(4,5),(5,6)],7)
[3,4,6,1,5,7,2]=>([(0,3),(0,6),(1,4),(2,5),(4,2),(4,6),(6,5)],7)
[3,4,6,1,7,2,5]=>([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(4,5)],7)
[3,4,6,1,7,5,2]=>([(0,4),(1,3),(1,5),(1,6),(2,5),(4,2),(4,6)],7)
[3,4,6,2,1,5,7]=>([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)
[3,4,6,2,1,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)
[3,4,6,2,5,1,7]=>([(0,6),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,6,2,5,7,1]=>([(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)
[3,4,6,2,7,1,5]=>([(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)
[3,4,6,2,7,5,1]=>([(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)
[3,4,6,5,1,2,7]=>([(0,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)
[3,4,6,5,1,7,2]=>([(0,5),(1,4),(1,6),(2,6),(3,6),(5,2),(5,3)],7)
[3,4,6,5,2,1,7]=>([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,6,5,2,7,1]=>([(1,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,6,5,7,1,2]=>([(0,4),(1,5),(2,6),(3,6),(5,2),(5,3)],7)
[3,4,6,5,7,2,1]=>([(2,3),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,6,7,1,2,5]=>([(0,5),(1,3),(3,6),(4,2),(5,4),(5,6)],7)
[3,4,6,7,1,5,2]=>([(0,5),(1,3),(1,6),(4,2),(5,4),(5,6)],7)
[3,4,6,7,2,1,5]=>([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7)
[3,4,6,7,2,5,1]=>([(1,3),(2,6),(3,5),(3,6),(5,4)],7)
[3,4,6,7,5,1,2]=>([(0,4),(1,6),(5,3),(6,2),(6,5)],7)
[3,4,6,7,5,2,1]=>([(2,6),(5,4),(6,3),(6,5)],7)
[3,4,7,1,2,5,6]=>([(0,4),(1,5),(4,6),(5,2),(5,6),(6,3)],7)
[3,4,7,1,2,6,5]=>([(0,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)
[3,4,7,1,5,2,6]=>([(0,3),(0,6),(1,4),(3,5),(4,2),(4,6),(6,5)],7)
[3,4,7,1,5,6,2]=>([(0,5),(1,4),(1,6),(5,2),(5,6),(6,3)],7)
[3,4,7,1,6,2,5]=>([(0,3),(0,6),(1,4),(3,5),(4,2),(4,5),(4,6)],7)
[3,4,7,1,6,5,2]=>([(0,4),(1,3),(1,5),(1,6),(4,2),(4,5),(4,6)],7)
[3,4,7,2,1,5,6]=>([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7)
[3,4,7,2,1,6,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)
[3,4,7,2,5,1,6]=>([(0,6),(1,5),(2,3),(3,4),(3,6),(6,5)],7)
[3,4,7,2,5,6,1]=>([(1,6),(2,3),(3,5),(3,6),(6,4)],7)
[3,4,7,2,6,1,5]=>([(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)
[3,4,7,2,6,5,1]=>([(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)
[3,4,7,5,1,2,6]=>([(0,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)
[3,4,7,5,1,6,2]=>([(0,5),(1,4),(1,6),(3,6),(5,2),(5,3)],7)
[3,4,7,5,2,1,6]=>([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7)
[3,4,7,5,2,6,1]=>([(1,3),(2,6),(3,4),(3,5),(5,6)],7)
[3,4,7,5,6,1,2]=>([(0,4),(1,6),(5,3),(6,2),(6,5)],7)
[3,4,7,5,6,2,1]=>([(2,6),(5,4),(6,3),(6,5)],7)
[3,4,7,6,1,2,5]=>([(0,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)
[3,4,7,6,1,5,2]=>([(0,5),(1,4),(1,6),(5,2),(5,3),(5,6)],7)
[3,4,7,6,2,1,5]=>([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7)
[3,4,7,6,2,5,1]=>([(1,3),(2,6),(3,4),(3,5),(3,6)],7)
[3,4,7,6,5,1,2]=>([(0,5),(1,6),(6,2),(6,3),(6,4)],7)
[3,4,7,6,5,2,1]=>([(2,6),(6,3),(6,4),(6,5)],7)
[3,5,1,2,4,6,7]=>([(0,4),(1,3),(1,5),(3,6),(4,5),(5,6),(6,2)],7)
[3,5,1,2,4,7,6]=>([(0,2),(1,3),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)
[3,5,1,2,6,4,7]=>([(0,3),(1,2),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)
[3,5,1,2,6,7,4]=>([(0,4),(1,3),(1,5),(3,6),(4,5),(4,6),(6,2)],7)
[3,5,1,2,7,4,6]=>([(0,3),(1,2),(1,6),(2,4),(2,5),(3,4),(3,6),(6,5)],7)
[3,5,1,2,7,6,4]=>([(0,3),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[3,5,1,4,2,6,7]=>([(0,4),(0,5),(1,3),(1,5),(3,6),(4,6),(5,6),(6,2)],7)
[3,5,1,4,2,7,6]=>([(0,3),(0,4),(1,2),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,1,4,6,2,7]=>([(0,2),(0,6),(1,3),(1,6),(2,5),(3,4),(5,4),(6,5)],7)
[3,5,1,4,6,7,2]=>([(0,3),(0,5),(1,4),(1,5),(4,6),(5,6),(6,2)],7)
[3,5,1,4,7,2,6]=>([(0,2),(0,4),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,1,4,7,6,2]=>([(0,3),(0,6),(1,2),(1,6),(3,4),(3,5),(6,4),(6,5)],7)
[3,5,1,6,2,4,7]=>([(0,3),(0,6),(1,2),(1,5),(2,6),(3,5),(5,4),(6,4)],7)
[3,5,1,6,2,7,4]=>([(0,3),(0,6),(1,2),(1,5),(2,6),(3,4),(3,5),(6,4)],7)
[3,5,1,6,4,2,7]=>([(0,2),(0,4),(1,3),(1,4),(1,5),(2,5),(3,6),(4,6),(5,6)],7)
[3,5,1,6,4,7,2]=>([(0,3),(0,6),(1,2),(1,5),(1,6),(3,5),(5,4),(6,4)],7)
[3,5,1,6,7,2,4]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(4,5),(6,2)],7)
[3,5,1,6,7,4,2]=>([(0,4),(0,5),(1,3),(1,5),(1,6),(4,6),(6,2)],7)
[3,5,1,7,2,4,6]=>([(0,3),(0,6),(1,2),(1,5),(2,6),(3,4),(3,5),(6,4)],7)
[3,5,1,7,2,6,4]=>([(0,3),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5)],7)
[3,5,1,7,4,2,6]=>([(0,3),(0,4),(1,2),(1,4),(1,5),(2,6),(3,5),(3,6),(4,6)],7)
[3,5,1,7,4,6,2]=>([(0,3),(0,6),(1,2),(1,5),(1,6),(3,4),(3,5),(6,4)],7)
[3,5,1,7,6,2,4]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5)],7)
[3,5,1,7,6,4,2]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5)],7)
[3,5,2,1,4,6,7]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7)
[3,5,2,1,4,7,6]=>([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)
[3,5,2,1,6,4,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7)
[3,5,2,1,6,7,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)
[3,5,2,1,7,4,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7)
[3,5,2,1,7,6,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)
[3,5,2,4,1,6,7]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)
[3,5,2,4,1,7,6]=>([(0,5),(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,2,4,6,1,7]=>([(0,4),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)
[3,5,2,4,6,7,1]=>([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)
[3,5,2,4,7,1,6]=>([(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,2,4,7,6,1]=>([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,2,6,1,4,7]=>([(0,6),(1,5),(1,6),(2,3),(2,6),(3,5),(5,4),(6,4)],7)
[3,5,2,6,1,7,4]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(5,4)],7)
[3,5,2,6,4,1,7]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
[3,5,2,6,4,7,1]=>([(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)
[3,5,2,6,7,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,6),(3,5),(5,4)],7)
[3,5,2,6,7,4,1]=>([(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)
[3,5,2,7,1,4,6]=>([(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7)
[3,5,2,7,1,6,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)
[3,5,2,7,4,1,6]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)
[3,5,2,7,4,6,1]=>([(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)
[3,5,2,7,6,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7)
[3,5,2,7,6,4,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)
[3,5,4,1,2,6,7]=>([(0,5),(1,2),(1,3),(2,6),(3,6),(5,6),(6,4)],7)
[3,5,4,1,2,7,6]=>([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,4,1,6,2,7]=>([(0,4),(0,6),(1,2),(1,3),(2,6),(3,6),(4,5),(6,5)],7)
[3,5,4,1,6,7,2]=>([(0,5),(0,6),(1,2),(1,3),(2,6),(3,6),(6,4)],7)
[3,5,4,1,7,2,6]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[3,5,4,1,7,6,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7)
[3,5,4,2,1,6,7]=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)
[3,5,4,2,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,4,2,6,1,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)
[3,5,4,2,6,7,1]=>([(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)
[3,5,4,2,7,1,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,4,2,7,6,1]=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,4,6,1,2,7]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,6),(5,6)],7)
[3,5,4,6,1,7,2]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(5,6)],7)
[3,5,4,6,2,1,7]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[3,5,4,6,2,7,1]=>([(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)
[3,5,4,6,7,1,2]=>([(0,5),(1,2),(1,3),(2,6),(3,6),(6,4)],7)
[3,5,4,6,7,2,1]=>([(2,3),(2,4),(3,6),(4,6),(6,5)],7)
[3,5,4,7,1,2,6]=>([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[3,5,4,7,1,6,2]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7)
[3,5,4,7,2,1,6]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,4,7,2,6,1]=>([(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,4,7,6,1,2]=>([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7)
[3,5,4,7,6,2,1]=>([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,6,1,2,4,7]=>([(0,3),(1,4),(1,6),(2,5),(3,6),(4,2),(6,5)],7)
[3,5,6,1,2,7,4]=>([(0,3),(1,4),(1,6),(2,5),(3,5),(3,6),(4,2)],7)
[3,5,6,1,4,2,7]=>([(0,3),(0,5),(1,4),(1,5),(2,6),(3,6),(4,2),(5,6)],7)
[3,5,6,1,4,7,2]=>([(0,3),(0,6),(1,4),(1,6),(2,5),(4,2),(6,5)],7)
[3,5,6,1,7,2,4]=>([(0,3),(0,5),(1,4),(1,6),(2,5),(3,6),(4,2)],7)
[3,5,6,1,7,4,2]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,5),(4,2)],7)
[3,5,6,2,1,4,7]=>([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7)
[3,5,6,2,1,7,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)
[3,5,6,2,4,1,7]=>([(0,6),(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
[3,5,6,2,4,7,1]=>([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
[3,5,6,2,7,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(4,5)],7)
[3,5,6,2,7,4,1]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)
[3,5,6,4,1,2,7]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(4,6),(5,2)],7)
[3,5,6,4,1,7,2]=>([(0,4),(0,6),(1,3),(1,5),(2,6),(3,6),(5,2)],7)
[3,5,6,4,2,1,7]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
[3,5,6,4,2,7,1]=>([(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
[3,5,6,4,7,1,2]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(5,2)],7)
[3,5,6,4,7,2,1]=>([(2,3),(2,4),(3,5),(4,6),(5,6)],7)
[3,5,6,7,1,2,4]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)
[3,5,6,7,1,4,2]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)
[3,5,6,7,2,1,4]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7)
[3,5,6,7,2,4,1]=>([(1,6),(2,3),(2,6),(3,5),(5,4)],7)
[3,5,6,7,4,1,2]=>([(0,4),(1,3),(1,6),(5,2),(6,5)],7)
[3,5,6,7,4,2,1]=>([(2,4),(2,6),(5,3),(6,5)],7)
[3,5,7,1,2,4,6]=>([(0,3),(1,4),(1,6),(3,6),(4,2),(4,5),(6,5)],7)
[3,5,7,1,2,6,4]=>([(0,3),(1,4),(1,6),(3,5),(3,6),(4,2),(4,5)],7)
[3,5,7,1,4,2,6]=>([(0,3),(0,5),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7)
[3,5,7,1,4,6,2]=>([(0,3),(0,6),(1,4),(1,6),(4,2),(4,5),(6,5)],7)
[3,5,7,1,6,2,4]=>([(0,3),(0,6),(1,4),(1,5),(3,5),(4,2),(4,6)],7)
[3,5,7,1,6,4,2]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(4,2),(4,5)],7)
[3,5,7,2,1,4,6]=>([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7)
[3,5,7,2,1,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)
[3,5,7,2,4,1,6]=>([(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)
[3,5,7,2,4,6,1]=>([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)
[3,5,7,2,6,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7)
[3,5,7,2,6,4,1]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)
[3,5,7,4,1,2,6]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2),(5,6)],7)
[3,5,7,4,1,6,2]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2),(5,6)],7)
[3,5,7,4,2,1,6]=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[3,5,7,4,2,6,1]=>([(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[3,5,7,4,6,1,2]=>([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7)
[3,5,7,4,6,2,1]=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[3,5,7,6,1,2,4]=>([(0,4),(1,5),(1,6),(4,6),(5,2),(5,3)],7)
[3,5,7,6,1,4,2]=>([(0,4),(0,6),(1,5),(1,6),(5,2),(5,3)],7)
[3,5,7,6,2,1,4]=>([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7)
[3,5,7,6,2,4,1]=>([(1,6),(2,3),(2,6),(3,4),(3,5)],7)
[3,5,7,6,4,1,2]=>([(0,5),(1,4),(1,6),(6,2),(6,3)],7)
[3,5,7,6,4,2,1]=>([(2,5),(2,6),(6,3),(6,4)],7)
[3,6,1,2,4,5,7]=>([(0,3),(1,4),(1,6),(2,5),(3,6),(4,5),(6,2)],7)
[3,6,1,2,4,7,5]=>([(0,3),(1,4),(1,6),(3,6),(4,5),(6,2),(6,5)],7)
[3,6,1,2,5,4,7]=>([(0,3),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,6,1,2,5,7,4]=>([(0,3),(1,2),(1,4),(1,6),(2,5),(3,4),(3,6),(6,5)],7)
[3,6,1,2,7,4,5]=>([(0,4),(1,3),(1,6),(3,5),(4,5),(4,6),(6,2)],7)
[3,6,1,2,7,5,4]=>([(0,3),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6)],7)
[3,6,1,4,2,5,7]=>([(0,2),(0,6),(1,3),(1,6),(2,5),(3,4),(5,4),(6,5)],7)
[3,6,1,4,2,7,5]=>([(0,2),(0,4),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,1,4,5,2,7]=>([(0,4),(0,5),(1,3),(1,5),(2,6),(3,6),(4,6),(5,2)],7)
[3,6,1,4,5,7,2]=>([(0,3),(0,6),(1,4),(1,6),(2,5),(4,5),(6,2)],7)
[3,6,1,4,7,2,5]=>([(0,3),(0,6),(1,2),(1,6),(2,4),(3,5),(6,4),(6,5)],7)
[3,6,1,4,7,5,2]=>([(0,3),(0,6),(1,4),(1,6),(4,5),(6,2),(6,5)],7)
[3,6,1,5,2,4,7]=>([(0,2),(0,4),(1,3),(1,4),(1,5),(2,5),(3,6),(4,6),(5,6)],7)
[3,6,1,5,2,7,4]=>([(0,3),(0,4),(1,2),(1,4),(1,5),(2,6),(3,5),(3,6),(4,6)],7)
[3,6,1,5,4,2,7]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)
[3,6,1,5,4,7,2]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)
[3,6,1,5,7,2,4]=>([(0,3),(0,6),(1,2),(1,4),(1,6),(2,5),(3,4),(6,5)],7)
[3,6,1,5,7,4,2]=>([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(3,4),(6,4)],7)
[3,6,1,7,2,4,5]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(4,5),(6,2)],7)
[3,6,1,7,2,5,4]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5)],7)
[3,6,1,7,4,2,5]=>([(0,3),(0,6),(1,2),(1,4),(1,6),(2,5),(3,4),(6,5)],7)
[3,6,1,7,4,5,2]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(4,5),(6,2)],7)
[3,6,1,7,5,2,4]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,5),(3,4)],7)
[3,6,1,7,5,4,2]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(3,4)],7)
[3,6,2,1,4,5,7]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7)
[3,6,2,1,4,7,5]=>([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)
[3,6,2,1,5,4,7]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,6,2,1,5,7,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)
[3,6,2,1,7,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)
[3,6,2,1,7,5,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)
[3,6,2,4,1,5,7]=>([(0,5),(1,4),(2,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,2,4,1,7,5]=>([(0,5),(0,6),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[3,6,2,4,5,1,7]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)
[3,6,2,4,5,7,1]=>([(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)
[3,6,2,4,7,1,5]=>([(0,5),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[3,6,2,4,7,5,1]=>([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)
[3,6,2,5,1,4,7]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,6,2,5,1,7,4]=>([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)
[3,6,2,5,4,1,7]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,6,2,5,4,7,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,6,2,5,7,1,4]=>([(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)
[3,6,2,5,7,4,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7)
[3,6,2,7,1,4,5]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(4,5),(6,3)],7)
[3,6,2,7,1,5,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)
[3,6,2,7,4,1,5]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5)],7)
[3,6,2,7,4,5,1]=>([(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)
[3,6,2,7,5,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5)],7)
[3,6,2,7,5,4,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)
[3,6,4,1,2,5,7]=>([(0,4),(1,2),(1,3),(2,6),(3,5),(4,5),(5,6)],7)
[3,6,4,1,2,7,5]=>([(0,4),(1,2),(1,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,4,1,5,2,7]=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,5),(4,6),(5,6)],7)
[3,6,4,1,5,7,2]=>([(0,4),(0,6),(1,2),(1,3),(2,6),(3,5),(6,5)],7)
[3,6,4,1,7,2,5]=>([(0,4),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(4,5)],7)
[3,6,4,1,7,5,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6)],7)
[3,6,4,2,1,5,7]=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)
[3,6,4,2,1,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[3,6,4,2,5,1,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,4,2,5,7,1]=>([(1,5),(2,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,4,2,7,1,5]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[3,6,4,2,7,5,1]=>([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[3,6,4,5,1,2,7]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(4,6),(5,2)],7)
[3,6,4,5,1,7,2]=>([(0,4),(0,6),(1,3),(1,5),(2,6),(3,6),(5,2)],7)
[3,6,4,5,2,1,7]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
[3,6,4,5,2,7,1]=>([(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
[3,6,4,5,7,1,2]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(5,2)],7)
[3,6,4,5,7,2,1]=>([(2,3),(2,4),(3,5),(4,6),(5,6)],7)
[3,6,4,7,1,2,5]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(3,6),(4,6)],7)
[3,6,4,7,1,5,2]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(3,6)],7)
[3,6,4,7,2,1,5]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7)
[3,6,4,7,2,5,1]=>([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[3,6,4,7,5,1,2]=>([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7)
[3,6,4,7,5,2,1]=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[3,6,5,1,2,4,7]=>([(0,4),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5),(5,6)],7)
[3,6,5,1,2,7,4]=>([(0,4),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5),(4,6)],7)
[3,6,5,1,4,2,7]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(4,6),(5,6)],7)
[3,6,5,1,4,7,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6)],7)
[3,6,5,1,7,2,4]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5)],7)
[3,6,5,1,7,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6)],7)
[3,6,5,2,1,4,7]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,6,5,2,1,7,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)
[3,6,5,2,4,1,7]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,6,5,2,4,7,1]=>([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,6,5,2,7,1,4]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)
[3,6,5,2,7,4,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)
[3,6,5,4,1,2,7]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(5,6)],7)
[3,6,5,4,1,7,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6)],7)
[3,6,5,4,2,1,7]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,6,5,4,2,7,1]=>([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,6,5,4,7,1,2]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6)],7)
[3,6,5,4,7,2,1]=>([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,6,5,7,1,2,4]=>([(0,4),(1,2),(1,3),(1,6),(2,5),(3,5),(4,6)],7)
[3,6,5,7,1,4,2]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(3,5)],7)
[3,6,5,7,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)
[3,6,5,7,2,4,1]=>([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)
[3,6,5,7,4,1,2]=>([(0,5),(1,2),(1,3),(1,4),(3,6),(4,6)],7)
[3,6,5,7,4,2,1]=>([(2,3),(2,4),(2,5),(4,6),(5,6)],7)
[3,6,7,1,2,4,5]=>([(0,4),(1,5),(1,6),(4,6),(5,2),(6,3)],7)
[3,6,7,1,2,5,4]=>([(0,3),(1,4),(1,5),(1,6),(3,5),(3,6),(4,2)],7)
[3,6,7,1,4,2,5]=>([(0,3),(0,6),(1,4),(1,6),(3,5),(4,2),(6,5)],7)
[3,6,7,1,4,5,2]=>([(0,4),(0,6),(1,5),(1,6),(5,2),(6,3)],7)
[3,6,7,1,5,2,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,5),(4,2)],7)
[3,6,7,1,5,4,2]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(4,2)],7)
[3,6,7,2,1,4,5]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7)
[3,6,7,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)
[3,6,7,2,4,1,5]=>([(0,6),(1,5),(2,3),(2,5),(3,4),(5,6)],7)
[3,6,7,2,4,5,1]=>([(1,6),(2,3),(2,6),(3,5),(6,4)],7)
[3,6,7,2,5,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)
[3,6,7,2,5,4,1]=>([(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)
[3,6,7,4,1,2,5]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)
[3,6,7,4,1,5,2]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)
[3,6,7,4,2,1,5]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7)
[3,6,7,4,2,5,1]=>([(1,6),(2,3),(2,4),(3,5),(4,6)],7)
[3,6,7,4,5,1,2]=>([(0,4),(1,5),(1,6),(5,3),(6,2)],7)
[3,6,7,4,5,2,1]=>([(2,5),(2,6),(5,4),(6,3)],7)
[3,6,7,5,1,2,4]=>([(0,4),(1,3),(1,5),(1,6),(4,6),(5,2)],7)
[3,6,7,5,1,4,2]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(5,2)],7)
[3,6,7,5,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7)
[3,6,7,5,2,4,1]=>([(1,6),(2,3),(2,4),(2,6),(4,5)],7)
[3,6,7,5,4,1,2]=>([(0,5),(1,3),(1,4),(1,6),(6,2)],7)
[3,6,7,5,4,2,1]=>([(2,4),(2,5),(2,6),(6,3)],7)
[3,7,1,2,4,5,6]=>([(0,4),(1,3),(1,6),(4,6),(5,2),(6,5)],7)
[3,7,1,2,4,6,5]=>([(0,5),(1,4),(1,6),(5,6),(6,2),(6,3)],7)
[3,7,1,2,5,4,6]=>([(0,3),(1,2),(1,5),(1,6),(3,5),(3,6),(5,4),(6,4)],7)
[3,7,1,2,5,6,4]=>([(0,4),(1,3),(1,5),(1,6),(4,5),(4,6),(6,2)],7)
[3,7,1,2,6,4,5]=>([(0,4),(1,3),(1,5),(1,6),(4,5),(4,6),(6,2)],7)
[3,7,1,2,6,5,4]=>([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)
[3,7,1,4,2,5,6]=>([(0,3),(0,5),(1,4),(1,5),(4,6),(5,6),(6,2)],7)
[3,7,1,4,2,6,5]=>([(0,3),(0,6),(1,2),(1,6),(3,4),(3,5),(6,4),(6,5)],7)
[3,7,1,4,5,2,6]=>([(0,3),(0,6),(1,4),(1,6),(2,5),(4,5),(6,2)],7)
[3,7,1,4,5,6,2]=>([(0,4),(0,6),(1,3),(1,6),(5,2),(6,5)],7)
[3,7,1,4,6,2,5]=>([(0,3),(0,6),(1,4),(1,6),(4,5),(6,2),(6,5)],7)
[3,7,1,4,6,5,2]=>([(0,5),(0,6),(1,4),(1,6),(6,2),(6,3)],7)
[3,7,1,5,2,4,6]=>([(0,3),(0,6),(1,2),(1,5),(1,6),(3,5),(5,4),(6,4)],7)
[3,7,1,5,2,6,4]=>([(0,3),(0,6),(1,2),(1,5),(1,6),(3,4),(3,5),(6,4)],7)
[3,7,1,5,4,2,6]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)
[3,7,1,5,4,6,2]=>([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(5,4),(6,4)],7)
[3,7,1,5,6,2,4]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(4,5),(6,2)],7)
[3,7,1,5,6,4,2]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(6,2)],7)
[3,7,1,6,2,4,5]=>([(0,4),(0,5),(1,3),(1,5),(1,6),(4,6),(6,2)],7)
[3,7,1,6,2,5,4]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5)],7)
[3,7,1,6,4,2,5]=>([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(3,4),(6,4)],7)
[3,7,1,6,4,5,2]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(6,2)],7)
[3,7,1,6,5,2,4]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(3,4)],7)
[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)
[3,7,2,1,4,5,6]=>([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7)
[3,7,2,1,4,6,5]=>([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7)
[3,7,2,1,5,4,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)
[3,7,2,1,5,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)
[3,7,2,1,6,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)
[3,7,2,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[3,7,2,4,1,5,6]=>([(0,6),(1,5),(2,4),(2,5),(5,6),(6,3)],7)
[3,7,2,4,1,6,5]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)
[3,7,2,4,5,1,6]=>([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7)
[3,7,2,4,5,6,1]=>([(1,6),(2,3),(2,6),(4,5),(6,4)],7)
[3,7,2,4,6,1,5]=>([(0,6),(1,5),(2,4),(2,6),(6,3),(6,5)],7)
[3,7,2,4,6,5,1]=>([(1,6),(2,3),(2,6),(6,4),(6,5)],7)
[3,7,2,5,1,4,6]=>([(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)
[3,7,2,5,1,6,4]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5)],7)
[3,7,2,5,4,1,6]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)
[3,7,2,5,4,6,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)
[3,7,2,5,6,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4)],7)
[3,7,2,5,6,4,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)
[3,7,2,6,1,4,5]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(6,4)],7)
[3,7,2,6,1,5,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[3,7,2,6,4,1,5]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(5,6)],7)
[3,7,2,6,4,5,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)
[3,7,2,6,5,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[3,7,2,6,5,4,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[3,7,4,1,2,5,6]=>([(0,5),(1,2),(1,3),(3,6),(5,6),(6,4)],7)
[3,7,4,1,2,6,5]=>([(0,4),(1,2),(1,3),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,4,1,5,2,6]=>([(0,4),(0,6),(1,2),(1,3),(3,6),(4,5),(6,5)],7)
[3,7,4,1,5,6,2]=>([(0,5),(0,6),(1,2),(1,3),(3,6),(6,4)],7)
[3,7,4,1,6,2,5]=>([(0,4),(0,6),(1,2),(1,3),(3,5),(3,6),(4,5)],7)
[3,7,4,1,6,5,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(3,5),(3,6)],7)
[3,7,4,2,1,5,6]=>([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7)
[3,7,4,2,1,6,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)
[3,7,4,2,5,1,6]=>([(0,6),(1,5),(2,3),(2,4),(4,6),(6,5)],7)
[3,7,4,2,5,6,1]=>([(1,6),(2,3),(2,4),(4,6),(6,5)],7)
[3,7,4,2,6,1,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)
[3,7,4,2,6,5,1]=>([(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)
[3,7,4,5,1,2,6]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)
[3,7,4,5,1,6,2]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)
[3,7,4,5,2,1,6]=>([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7)
[3,7,4,5,2,6,1]=>([(1,6),(2,3),(2,4),(4,5),(5,6)],7)
[3,7,4,5,6,1,2]=>([(0,4),(1,3),(1,6),(5,2),(6,5)],7)
[3,7,4,5,6,2,1]=>([(2,4),(2,6),(5,3),(6,5)],7)
[3,7,4,6,1,2,5]=>([(0,4),(1,3),(1,5),(4,6),(5,2),(5,6)],7)
[3,7,4,6,1,5,2]=>([(0,4),(0,6),(1,3),(1,5),(5,2),(5,6)],7)
[3,7,4,6,2,1,5]=>([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7)
[3,7,4,6,2,5,1]=>([(1,6),(2,3),(2,4),(4,5),(4,6)],7)
[3,7,4,6,5,1,2]=>([(0,5),(1,4),(1,6),(6,2),(6,3)],7)
[3,7,4,6,5,2,1]=>([(2,5),(2,6),(6,3),(6,4)],7)
[3,7,5,1,2,4,6]=>([(0,4),(1,2),(1,3),(1,5),(3,6),(4,5),(5,6)],7)
[3,7,5,1,2,6,4]=>([(0,4),(1,2),(1,3),(1,6),(3,5),(4,5),(4,6)],7)
[3,7,5,1,4,2,6]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(3,6),(4,6),(5,6)],7)
[3,7,5,1,4,6,2]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(3,5),(6,5)],7)
[3,7,5,1,6,2,4]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(3,6),(4,5)],7)
[3,7,5,1,6,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(3,5)],7)
[3,7,5,2,1,4,6]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)
[3,7,5,2,1,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)
[3,7,5,2,4,1,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)
[3,7,5,2,4,6,1]=>([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)
[3,7,5,2,6,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(4,5)],7)
[3,7,5,2,6,4,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)
[3,7,5,4,1,2,6]=>([(0,5),(1,2),(1,3),(1,4),(3,6),(4,6),(5,6)],7)
[3,7,5,4,1,6,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,6)],7)
[3,7,5,4,2,1,6]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)
[3,7,5,4,2,6,1]=>([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)
[3,7,5,4,6,1,2]=>([(0,5),(1,2),(1,3),(1,4),(3,6),(4,6)],7)
[3,7,5,4,6,2,1]=>([(2,3),(2,4),(2,5),(4,6),(5,6)],7)
[3,7,5,6,1,2,4]=>([(0,4),(1,3),(1,5),(1,6),(4,6),(5,2)],7)
[3,7,5,6,1,4,2]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(5,2)],7)
[3,7,5,6,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7)
[3,7,5,6,2,4,1]=>([(1,6),(2,3),(2,4),(2,6),(4,5)],7)
[3,7,5,6,4,1,2]=>([(0,5),(1,3),(1,4),(1,6),(6,2)],7)
[3,7,5,6,4,2,1]=>([(2,4),(2,5),(2,6),(6,3)],7)
[3,7,6,1,2,4,5]=>([(0,5),(1,2),(1,3),(1,6),(5,6),(6,4)],7)
[3,7,6,1,2,5,4]=>([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7)
[3,7,6,1,4,2,5]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(4,5),(6,5)],7)
[3,7,6,1,4,5,2]=>([(0,5),(0,6),(1,2),(1,3),(1,6),(6,4)],7)
[3,7,6,1,5,2,4]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(4,5)],7)
[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)
[3,7,6,2,1,4,5]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7)
[3,7,6,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[3,7,6,2,4,1,5]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(5,6)],7)
[3,7,6,2,4,5,1]=>([(1,6),(2,3),(2,4),(2,6),(6,5)],7)
[3,7,6,2,5,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[3,7,6,2,5,4,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[3,7,6,4,1,2,5]=>([(0,5),(1,2),(1,3),(1,4),(4,6),(5,6)],7)
[3,7,6,4,1,5,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(4,6)],7)
[3,7,6,4,2,1,5]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)
[3,7,6,4,2,5,1]=>([(1,6),(2,3),(2,4),(2,5),(5,6)],7)
[3,7,6,4,5,1,2]=>([(0,5),(1,3),(1,4),(1,6),(6,2)],7)
[3,7,6,4,5,2,1]=>([(2,4),(2,5),(2,6),(6,3)],7)
[3,7,6,5,1,2,4]=>([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7)
[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)
[3,7,6,5,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[3,7,6,5,2,4,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[3,7,6,5,4,1,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)
[3,7,6,5,4,2,1]=>([(2,3),(2,4),(2,5),(2,6)],7)
[4,1,2,3,5,6,7]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[4,1,2,3,5,7,6]=>([(0,6),(1,5),(2,6),(5,2),(6,3),(6,4)],7)
[4,1,2,3,6,5,7]=>([(0,2),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)
[4,1,2,3,6,7,5]=>([(0,5),(0,6),(1,4),(3,5),(3,6),(4,3),(6,2)],7)
[4,1,2,3,7,5,6]=>([(0,5),(0,6),(1,4),(3,5),(3,6),(4,3),(6,2)],7)
[4,1,2,3,7,6,5]=>([(0,2),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)
[4,1,2,5,3,6,7]=>([(0,5),(1,4),(3,6),(4,3),(4,5),(5,6),(6,2)],7)
[4,1,2,5,3,7,6]=>([(0,2),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)
[4,1,2,5,6,3,7]=>([(0,6),(1,4),(2,5),(3,5),(4,3),(4,6),(6,2)],7)
[4,1,2,5,6,7,3]=>([(0,6),(1,4),(4,3),(4,6),(5,2),(6,5)],7)
[4,1,2,5,7,3,6]=>([(0,6),(1,4),(3,5),(4,3),(4,6),(6,2),(6,5)],7)
[4,1,2,5,7,6,3]=>([(0,6),(1,5),(5,2),(5,6),(6,3),(6,4)],7)
[4,1,2,6,3,5,7]=>([(0,3),(1,5),(1,6),(2,6),(3,2),(3,5),(5,4),(6,4)],7)
[4,1,2,6,3,7,5]=>([(0,2),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4)],7)
[4,1,2,6,5,3,7]=>([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,1,2,6,5,7,3]=>([(0,3),(1,5),(1,6),(3,2),(3,5),(3,6),(5,4),(6,4)],7)
[4,1,2,6,7,3,5]=>([(0,5),(0,6),(1,4),(3,5),(4,3),(4,6),(6,2)],7)
[4,1,2,6,7,5,3]=>([(0,5),(0,6),(1,4),(4,3),(4,5),(4,6),(6,2)],7)
[4,1,2,7,3,5,6]=>([(0,5),(0,6),(1,4),(3,6),(4,3),(4,5),(6,2)],7)
[4,1,2,7,3,6,5]=>([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7)
[4,1,2,7,5,3,6]=>([(0,3),(1,4),(1,6),(2,5),(3,2),(3,4),(3,6),(6,5)],7)
[4,1,2,7,5,6,3]=>([(0,5),(0,6),(1,4),(4,3),(4,5),(4,6),(6,2)],7)
[4,1,2,7,6,3,5]=>([(0,3),(1,4),(1,5),(1,6),(2,6),(3,2),(3,4),(3,5)],7)
[4,1,2,7,6,5,3]=>([(0,3),(1,4),(1,5),(1,6),(3,2),(3,4),(3,5),(3,6)],7)
[4,1,3,2,5,6,7]=>([(0,6),(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7)
[4,1,3,2,5,7,6]=>([(0,6),(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)
[4,1,3,2,6,5,7]=>([(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)
[4,1,3,2,6,7,5]=>([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)
[4,1,3,2,7,5,6]=>([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)
[4,1,3,2,7,6,5]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,1,3,5,2,6,7]=>([(0,5),(1,3),(1,4),(3,6),(4,5),(5,6),(6,2)],7)
[4,1,3,5,2,7,6]=>([(0,2),(0,3),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)
[4,1,3,5,6,2,7]=>([(0,6),(1,2),(1,4),(2,6),(3,5),(4,5),(6,3)],7)
[4,1,3,5,6,7,2]=>([(0,6),(1,3),(1,4),(4,6),(5,2),(6,5)],7)
[4,1,3,5,7,2,6]=>([(0,6),(1,3),(1,4),(3,6),(4,5),(6,2),(6,5)],7)
[4,1,3,5,7,6,2]=>([(0,6),(1,2),(1,3),(3,6),(6,4),(6,5)],7)
[4,1,3,6,2,5,7]=>([(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(5,4),(6,4)],7)
[4,1,3,6,2,7,5]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
[4,1,3,6,5,2,7]=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,1,3,6,5,7,2]=>([(0,2),(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,4)],7)
[4,1,3,6,7,2,5]=>([(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(5,4)],7)
[4,1,3,6,7,5,2]=>([(0,5),(0,6),(1,3),(1,4),(4,5),(4,6),(6,2)],7)
[4,1,3,7,2,5,6]=>([(0,5),(0,6),(1,2),(1,4),(2,6),(4,5),(4,6),(6,3)],7)
[4,1,3,7,2,6,5]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,1,3,7,5,2,6]=>([(0,2),(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(6,5)],7)
[4,1,3,7,5,6,2]=>([(0,5),(0,6),(1,3),(1,4),(4,5),(4,6),(6,2)],7)
[4,1,3,7,6,2,5]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,4),(3,5),(3,6)],7)
[4,1,3,7,6,5,2]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)
[4,1,5,2,3,6,7]=>([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7)
[4,1,5,2,3,7,6]=>([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7)
[4,1,5,2,6,3,7]=>([(0,6),(1,3),(1,6),(2,4),(3,2),(3,5),(5,4),(6,5)],7)
[4,1,5,2,6,7,3]=>([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7)
[4,1,5,2,7,3,6]=>([(0,6),(1,3),(1,6),(2,5),(3,2),(3,4),(6,4),(6,5)],7)
[4,1,5,2,7,6,3]=>([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7)
[4,1,5,3,2,6,7]=>([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7)
[4,1,5,3,2,7,6]=>([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,3,6,2,7]=>([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(5,4),(6,5)],7)
[4,1,5,3,6,7,2]=>([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7)
[4,1,5,3,7,2,6]=>([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,3,7,6,2]=>([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7)
[4,1,5,6,2,3,7]=>([(0,6),(1,4),(1,6),(2,5),(3,5),(4,3),(6,2)],7)
[4,1,5,6,2,7,3]=>([(0,6),(1,4),(1,6),(3,5),(4,2),(4,5),(6,3)],7)
[4,1,5,6,3,2,7]=>([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(4,6),(5,4)],7)
[4,1,5,6,3,7,2]=>([(0,6),(1,2),(1,4),(1,6),(3,5),(4,5),(6,3)],7)
[4,1,5,6,7,2,3]=>([(0,6),(1,4),(1,6),(4,3),(5,2),(6,5)],7)
[4,1,5,6,7,3,2]=>([(0,6),(1,3),(1,4),(1,6),(5,2),(6,5)],7)
[4,1,5,7,2,3,6]=>([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7)
[4,1,5,7,2,6,3]=>([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7)
[4,1,5,7,3,2,6]=>([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7)
[4,1,5,7,3,6,2]=>([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7)
[4,1,5,7,6,2,3]=>([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7)
[4,1,5,7,6,3,2]=>([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7)
[4,1,6,2,3,5,7]=>([(0,2),(0,6),(1,5),(1,6),(2,3),(3,5),(5,4),(6,4)],7)
[4,1,6,2,3,7,5]=>([(0,2),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(6,4)],7)
[4,1,6,2,5,3,7]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,6),(4,6),(5,6)],7)
[4,1,6,2,5,7,3]=>([(0,3),(0,6),(1,5),(1,6),(3,2),(3,5),(5,4),(6,4)],7)
[4,1,6,2,7,3,5]=>([(0,3),(0,6),(1,5),(1,6),(2,5),(3,2),(3,4),(6,4)],7)
[4,1,6,2,7,5,3]=>([(0,3),(0,6),(1,5),(1,6),(3,2),(3,4),(3,5),(6,4)],7)
[4,1,6,3,2,5,7]=>([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)
[4,1,6,3,2,7,5]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[4,1,6,3,5,2,7]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,1,6,3,5,7,2]=>([(0,2),(0,3),(0,6),(1,5),(1,6),(3,5),(5,4),(6,4)],7)
[4,1,6,3,7,2,5]=>([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5)],7)
[4,1,6,3,7,5,2]=>([(0,2),(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(6,4)],7)
[4,1,6,5,2,3,7]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)
[4,1,6,5,2,7,3]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)
[4,1,6,5,3,2,7]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)
[4,1,6,5,3,7,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)
[4,1,6,5,7,2,3]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,2),(5,4),(6,4)],7)
[4,1,6,5,7,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(5,4),(6,4)],7)
[4,1,6,7,2,3,5]=>([(0,5),(0,6),(1,4),(1,6),(3,5),(4,3),(6,2)],7)
[4,1,6,7,2,5,3]=>([(0,5),(0,6),(1,4),(1,6),(4,3),(4,5),(6,2)],7)
[4,1,6,7,3,2,5]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4)],7)
[4,1,6,7,3,5,2]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(4,5),(6,2)],7)
[4,1,6,7,5,2,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(4,3),(6,2)],7)
[4,1,6,7,5,3,2]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)
[4,1,7,2,3,5,6]=>([(0,5),(0,6),(1,4),(1,5),(3,6),(4,3),(6,2)],7)
[4,1,7,2,3,6,5]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5)],7)
[4,1,7,2,5,3,6]=>([(0,3),(0,5),(1,5),(1,6),(2,4),(3,2),(3,6),(6,4)],7)
[4,1,7,2,5,6,3]=>([(0,5),(0,6),(1,4),(1,5),(4,3),(4,6),(6,2)],7)
[4,1,7,2,6,3,5]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,5),(3,2),(3,4)],7)
[4,1,7,2,6,5,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,2),(3,4),(3,5)],7)
[4,1,7,3,2,5,6]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(6,4)],7)
[4,1,7,3,2,6,5]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7)
[4,1,7,3,5,2,6]=>([(0,2),(0,3),(0,5),(1,5),(1,6),(2,4),(3,6),(6,4)],7)
[4,1,7,3,5,6,2]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(4,6),(6,2)],7)
[4,1,7,3,6,2,5]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6)],7)
[4,1,7,3,6,5,2]=>([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5)],7)
[4,1,7,5,2,3,6]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(3,4),(6,4)],7)
[4,1,7,5,2,6,3]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,2),(3,4),(6,4)],7)
[4,1,7,5,3,2,6]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(5,6)],7)
[4,1,7,5,3,6,2]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(3,4),(6,4)],7)
[4,1,7,5,6,2,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(4,3),(6,2)],7)
[4,1,7,5,6,3,2]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)
[4,1,7,6,2,3,5]=>([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4)],7)
[4,1,7,6,2,5,3]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(3,4)],7)
[4,1,7,6,3,2,5]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6)],7)
[4,1,7,6,3,5,2]=>([(0,2),(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4)],7)
[4,1,7,6,5,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,2)],7)
[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)
[4,2,1,3,5,6,7]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[4,2,1,3,5,7,6]=>([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7)
[4,2,1,3,6,5,7]=>([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)
[4,2,1,3,6,7,5]=>([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)
[4,2,1,3,7,5,6]=>([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)
[4,2,1,3,7,6,5]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)
[4,2,1,5,3,6,7]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7)
[4,2,1,5,3,7,6]=>([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)
[4,2,1,5,6,3,7]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7)
[4,2,1,5,6,7,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)
[4,2,1,5,7,3,6]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)
[4,2,1,5,7,6,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)
[4,2,1,6,3,5,7]=>([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7)
[4,2,1,6,3,7,5]=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)
[4,2,1,6,5,3,7]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,2,1,6,5,7,3]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)
[4,2,1,6,7,3,5]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)
[4,2,1,6,7,5,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)
[4,2,1,7,3,5,6]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7)
[4,2,1,7,3,6,5]=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7)
[4,2,1,7,5,3,6]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)
[4,2,1,7,5,6,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)
[4,2,1,7,6,3,5]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)
[4,2,1,7,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[4,2,3,1,5,6,7]=>([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)
[4,2,3,1,5,7,6]=>([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7)
[4,2,3,1,6,5,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)
[4,2,3,1,6,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)
[4,2,3,1,7,5,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)
[4,2,3,1,7,6,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)
[4,2,3,5,1,6,7]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[4,2,3,5,1,7,6]=>([(0,6),(1,4),(1,5),(2,3),(3,6),(6,4),(6,5)],7)
[4,2,3,5,6,1,7]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[4,2,3,5,6,7,1]=>([(1,6),(2,3),(3,6),(4,5),(6,4)],7)
[4,2,3,5,7,1,6]=>([(0,6),(1,5),(2,3),(3,6),(6,4),(6,5)],7)
[4,2,3,5,7,6,1]=>([(1,6),(2,3),(3,6),(6,4),(6,5)],7)
[4,2,3,6,1,5,7]=>([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)
[4,2,3,6,1,7,5]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(5,4)],7)
[4,2,3,6,5,1,7]=>([(0,6),(1,4),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7)
[4,2,3,6,5,7,1]=>([(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)
[4,2,3,6,7,1,5]=>([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4)],7)
[4,2,3,6,7,5,1]=>([(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)
[4,2,3,7,1,5,6]=>([(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)
[4,2,3,7,1,6,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)
[4,2,3,7,5,1,6]=>([(0,4),(1,5),(1,6),(2,3),(3,5),(3,6),(6,4)],7)
[4,2,3,7,5,6,1]=>([(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)
[4,2,3,7,6,1,5]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)
[4,2,3,7,6,5,1]=>([(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)
[4,2,5,1,3,6,7]=>([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7)
[4,2,5,1,3,7,6]=>([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)
[4,2,5,1,6,3,7]=>([(0,5),(1,4),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)
[4,2,5,1,6,7,3]=>([(0,5),(1,4),(1,6),(2,4),(2,5),(5,6),(6,3)],7)
[4,2,5,1,7,3,6]=>([(0,6),(1,4),(1,5),(2,5),(2,6),(5,3),(6,3),(6,4)],7)
[4,2,5,1,7,6,3]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4)],7)
[4,2,5,3,1,6,7]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)
[4,2,5,3,1,7,6]=>([(0,5),(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,5,3,6,1,7]=>([(0,4),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)
[4,2,5,3,6,7,1]=>([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)
[4,2,5,3,7,1,6]=>([(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,5,3,7,6,1]=>([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,5,6,1,3,7]=>([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7)
[4,2,5,6,1,7,3]=>([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7)
[4,2,5,6,3,1,7]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)
[4,2,5,6,3,7,1]=>([(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)
[4,2,5,6,7,1,3]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7)
[4,2,5,6,7,3,1]=>([(1,6),(2,3),(2,6),(4,5),(6,4)],7)
[4,2,5,7,1,3,6]=>([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7)
[4,2,5,7,1,6,3]=>([(0,6),(1,4),(1,6),(2,4),(2,5),(6,3),(6,5)],7)
[4,2,5,7,3,1,6]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)
[4,2,5,7,3,6,1]=>([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)
[4,2,5,7,6,1,3]=>([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7)
[4,2,5,7,6,3,1]=>([(1,6),(2,3),(2,6),(6,4),(6,5)],7)
[4,2,6,1,3,5,7]=>([(0,5),(1,4),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)
[4,2,6,1,3,7,5]=>([(0,6),(1,4),(1,5),(2,5),(2,6),(5,3),(6,3),(6,4)],7)
[4,2,6,1,5,3,7]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,2,6,1,5,7,3]=>([(0,3),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)
[4,2,6,1,7,3,5]=>([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(5,4),(6,3)],7)
[4,2,6,1,7,5,3]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(4,5)],7)
[4,2,6,3,1,5,7]=>([(0,6),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)
[4,2,6,3,1,7,5]=>([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)
[4,2,6,3,5,1,7]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
[4,2,6,3,5,7,1]=>([(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)
[4,2,6,3,7,1,5]=>([(0,6),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5)],7)
[4,2,6,3,7,5,1]=>([(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)
[4,2,6,5,1,3,7]=>([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,2,6,5,1,7,3]=>([(0,3),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)
[4,2,6,5,3,1,7]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,2,6,5,3,7,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,2,6,5,7,1,3]=>([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)
[4,2,6,5,7,3,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)
[4,2,6,7,1,3,5]=>([(0,5),(0,6),(1,4),(2,4),(2,6),(4,5),(6,3)],7)
[4,2,6,7,1,5,3]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(5,3)],7)
[4,2,6,7,3,1,5]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)
[4,2,6,7,3,5,1]=>([(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)
[4,2,6,7,5,1,3]=>([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)
[4,2,6,7,5,3,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)
[4,2,7,1,3,5,6]=>([(0,5),(1,4),(1,6),(2,4),(2,5),(5,6),(6,3)],7)
[4,2,7,1,3,6,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4)],7)
[4,2,7,1,5,3,6]=>([(0,3),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)
[4,2,7,1,5,6,3]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(6,3)],7)
[4,2,7,1,6,3,5]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(4,5)],7)
[4,2,7,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[4,2,7,3,1,5,6]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)
[4,2,7,3,1,6,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)
[4,2,7,3,5,1,6]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(3,6),(6,5)],7)
[4,2,7,3,5,6,1]=>([(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)
[4,2,7,3,6,1,5]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)
[4,2,7,3,6,5,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)
[4,2,7,5,1,3,6]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7)
[4,2,7,5,1,6,3]=>([(0,3),(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)
[4,2,7,5,3,1,6]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7)
[4,2,7,5,3,6,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7)
[4,2,7,5,6,1,3]=>([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)
[4,2,7,5,6,3,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)
[4,2,7,6,1,3,5]=>([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7)
[4,2,7,6,1,5,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[4,2,7,6,3,1,5]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)
[4,2,7,6,3,5,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)
[4,2,7,6,5,1,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)
[4,2,7,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[4,3,1,2,5,6,7]=>([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)
[4,3,1,2,5,7,6]=>([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7)
[4,3,1,2,6,5,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)
[4,3,1,2,6,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)
[4,3,1,2,7,5,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)
[4,3,1,2,7,6,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)
[4,3,1,5,2,6,7]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7)
[4,3,1,5,2,7,6]=>([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)
[4,3,1,5,6,2,7]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7)
[4,3,1,5,6,7,2]=>([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7)
[4,3,1,5,7,2,6]=>([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)
[4,3,1,5,7,6,2]=>([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7)
[4,3,1,6,2,5,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7)
[4,3,1,6,2,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7)
[4,3,1,6,5,2,7]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,1,6,5,7,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)
[4,3,1,6,7,2,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)
[4,3,1,6,7,5,2]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)
[4,3,1,7,2,5,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)
[4,3,1,7,2,6,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)
[4,3,1,7,5,2,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)
[4,3,1,7,5,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)
[4,3,1,7,6,2,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)
[4,3,1,7,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[4,3,2,1,5,6,7]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7)
[4,3,2,1,5,7,6]=>([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7)
[4,3,2,1,6,5,7]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)
[4,3,2,1,6,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)
[4,3,2,1,7,5,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)
[4,3,2,1,7,6,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,3,2,5,1,6,7]=>([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)
[4,3,2,5,1,7,6]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)
[4,3,2,5,6,1,7]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7)
[4,3,2,5,6,7,1]=>([(1,6),(2,6),(3,6),(4,5),(6,4)],7)
[4,3,2,5,7,1,6]=>([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7)
[4,3,2,5,7,6,1]=>([(1,6),(2,6),(3,6),(6,4),(6,5)],7)
[4,3,2,6,1,5,7]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)
[4,3,2,6,1,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7)
[4,3,2,6,5,1,7]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,3,2,6,5,7,1]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)
[4,3,2,6,7,1,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)
[4,3,2,6,7,5,1]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)
[4,3,2,7,1,5,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)
[4,3,2,7,1,6,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,3,2,7,5,1,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)
[4,3,2,7,5,6,1]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)
[4,3,2,7,6,1,5]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,3,2,7,6,5,1]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,3,5,1,2,6,7]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[4,3,5,1,2,7,6]=>([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,5,1,6,2,7]=>([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)
[4,3,5,1,6,7,2]=>([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7)
[4,3,5,1,7,2,6]=>([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
[4,3,5,1,7,6,2]=>([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)
[4,3,5,2,1,6,7]=>([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)
[4,3,5,2,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)
[4,3,5,2,6,1,7]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[4,3,5,2,6,7,1]=>([(1,6),(2,5),(3,5),(5,6),(6,4)],7)
[4,3,5,2,7,1,6]=>([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)
[4,3,5,2,7,6,1]=>([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,5,6,1,2,7]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[4,3,5,6,1,7,2]=>([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7)
[4,3,5,6,2,1,7]=>([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)
[4,3,5,6,2,7,1]=>([(1,6),(2,5),(3,5),(4,6),(5,4)],7)
[4,3,5,6,7,1,2]=>([(0,6),(1,6),(2,3),(4,5),(6,4)],7)
[4,3,5,6,7,2,1]=>([(2,6),(3,6),(4,5),(6,4)],7)
[4,3,5,7,1,2,6]=>([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7)
[4,3,5,7,1,6,2]=>([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7)
[4,3,5,7,2,1,6]=>([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7)
[4,3,5,7,2,6,1]=>([(1,6),(2,6),(3,5),(6,4),(6,5)],7)
[4,3,5,7,6,1,2]=>([(0,6),(1,6),(2,3),(6,4),(6,5)],7)
[4,3,5,7,6,2,1]=>([(2,6),(3,6),(6,4),(6,5)],7)
[4,3,6,1,2,5,7]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)
[4,3,6,1,2,7,5]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7)
[4,3,6,1,5,2,7]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,6,1,5,7,2]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7)
[4,3,6,1,7,2,5]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)
[4,3,6,1,7,5,2]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7)
[4,3,6,2,1,5,7]=>([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)
[4,3,6,2,1,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)
[4,3,6,2,5,1,7]=>([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,3,6,2,5,7,1]=>([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)
[4,3,6,2,7,1,5]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)
[4,3,6,2,7,5,1]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)
[4,3,6,5,1,2,7]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)
[4,3,6,5,1,7,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)
[4,3,6,5,2,1,7]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,3,6,5,2,7,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,3,6,5,7,1,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7)
[4,3,6,5,7,2,1]=>([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,3,6,7,1,2,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7)
[4,3,6,7,1,5,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7)
[4,3,6,7,2,1,5]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)
[4,3,6,7,2,5,1]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)
[4,3,6,7,5,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7)
[4,3,6,7,5,2,1]=>([(2,5),(2,6),(3,5),(3,6),(6,4)],7)
[4,3,7,1,2,5,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7)
[4,3,7,1,2,6,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6)],7)
[4,3,7,1,5,2,6]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7)
[4,3,7,1,5,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7)
[4,3,7,1,6,2,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6)],7)
[4,3,7,1,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)
[4,3,7,2,1,5,6]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)
[4,3,7,2,1,6,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,3,7,2,5,1,6]=>([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7)
[4,3,7,2,5,6,1]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)
[4,3,7,2,6,1,5]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,3,7,2,6,5,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,3,7,5,1,2,6]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7)
[4,3,7,5,1,6,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7)
[4,3,7,5,2,1,6]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
[4,3,7,5,2,6,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
[4,3,7,5,6,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7)
[4,3,7,5,6,2,1]=>([(2,5),(2,6),(3,5),(3,6),(6,4)],7)
[4,3,7,6,1,2,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,6)],7)
[4,3,7,6,1,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6)],7)
[4,3,7,6,2,1,5]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,3,7,6,2,5,1]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,3,7,6,5,1,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3)],7)
[4,3,7,6,5,2,1]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,5,1,2,3,6,7]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[4,5,1,2,3,7,6]=>([(0,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)
[4,5,1,2,6,3,7]=>([(0,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)
[4,5,1,2,6,7,3]=>([(0,4),(1,5),(4,6),(5,2),(5,6),(6,3)],7)
[4,5,1,2,7,3,6]=>([(0,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)
[4,5,1,2,7,6,3]=>([(0,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)
[4,5,1,3,2,6,7]=>([(0,5),(1,2),(1,3),(2,6),(3,6),(5,6),(6,4)],7)
[4,5,1,3,2,7,6]=>([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,3,6,2,7]=>([(0,4),(1,2),(1,3),(2,6),(3,5),(4,5),(5,6)],7)
[4,5,1,3,6,7,2]=>([(0,5),(1,2),(1,3),(3,6),(5,6),(6,4)],7)
[4,5,1,3,7,2,6]=>([(0,4),(1,2),(1,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,3,7,6,2]=>([(0,4),(1,2),(1,3),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,6,2,3,7]=>([(0,3),(1,4),(1,6),(2,5),(3,6),(4,2),(6,5)],7)
[4,5,1,6,2,7,3]=>([(0,3),(1,4),(1,6),(3,6),(4,2),(4,5),(6,5)],7)
[4,5,1,6,3,2,7]=>([(0,4),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5),(5,6)],7)
[4,5,1,6,3,7,2]=>([(0,4),(1,2),(1,3),(1,5),(3,6),(4,5),(5,6)],7)
[4,5,1,6,7,2,3]=>([(0,4),(1,5),(1,6),(4,6),(5,2),(6,3)],7)
[4,5,1,6,7,3,2]=>([(0,5),(1,2),(1,3),(1,6),(5,6),(6,4)],7)
[4,5,1,7,2,3,6]=>([(0,3),(1,4),(1,6),(2,5),(3,5),(3,6),(4,2)],7)
[4,5,1,7,2,6,3]=>([(0,3),(1,4),(1,6),(3,5),(3,6),(4,2),(4,5)],7)
[4,5,1,7,3,2,6]=>([(0,4),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5),(4,6)],7)
[4,5,1,7,3,6,2]=>([(0,4),(1,2),(1,3),(1,6),(3,5),(4,5),(4,6)],7)
[4,5,1,7,6,2,3]=>([(0,3),(1,4),(1,5),(1,6),(3,5),(3,6),(4,2)],7)
[4,5,1,7,6,3,2]=>([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7)
[4,5,2,1,3,6,7]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[4,5,2,1,3,7,6]=>([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,2,1,6,3,7]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)
[4,5,2,1,6,7,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7)
[4,5,2,1,7,3,6]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7)
[4,5,2,1,7,6,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6)],7)
[4,5,2,3,1,6,7]=>([(0,6),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[4,5,2,3,1,7,6]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,2,3,6,1,7]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[4,5,2,3,6,7,1]=>([(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[4,5,2,3,7,1,6]=>([(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,2,3,7,6,1]=>([(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,2,6,1,3,7]=>([(0,4),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)
[4,5,2,6,1,7,3]=>([(0,4),(0,6),(1,4),(1,5),(2,3),(3,6),(6,5)],7)
[4,5,2,6,3,1,7]=>([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)
[4,5,2,6,3,7,1]=>([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)
[4,5,2,6,7,1,3]=>([(0,5),(1,5),(1,6),(2,3),(3,6),(6,4)],7)
[4,5,2,6,7,3,1]=>([(1,4),(2,3),(2,6),(4,6),(6,5)],7)
[4,5,2,7,1,3,6]=>([(0,4),(1,4),(1,5),(2,3),(3,5),(3,6),(4,6)],7)
[4,5,2,7,1,6,3]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6)],7)
[4,5,2,7,3,1,6]=>([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
[4,5,2,7,3,6,1]=>([(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
[4,5,2,7,6,1,3]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6)],7)
[4,5,2,7,6,3,1]=>([(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)
[4,5,3,1,2,6,7]=>([(0,6),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[4,5,3,1,2,7,6]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,3,1,6,2,7]=>([(0,6),(1,3),(2,4),(2,6),(3,6),(4,5),(6,5)],7)
[4,5,3,1,6,7,2]=>([(0,6),(1,4),(2,3),(2,6),(4,6),(6,5)],7)
[4,5,3,1,7,2,6]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
[4,5,3,1,7,6,2]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)
[4,5,3,2,1,6,7]=>([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)
[4,5,3,2,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[4,5,3,2,6,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)
[4,5,3,2,6,7,1]=>([(1,6),(2,6),(3,4),(4,6),(6,5)],7)
[4,5,3,2,7,1,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[4,5,3,2,7,6,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[4,5,3,6,1,2,7]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[4,5,3,6,1,7,2]=>([(0,6),(1,4),(2,3),(2,5),(4,6),(6,5)],7)
[4,5,3,6,2,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)
[4,5,3,6,2,7,1]=>([(1,6),(2,5),(3,4),(4,6),(6,5)],7)
[4,5,3,6,7,1,2]=>([(0,6),(1,3),(2,4),(4,6),(6,5)],7)
[4,5,3,6,7,2,1]=>([(2,6),(3,4),(4,6),(6,5)],7)
[4,5,3,7,1,2,6]=>([(0,5),(0,6),(1,3),(2,4),(3,6),(4,5),(4,6)],7)
[4,5,3,7,1,6,2]=>([(0,5),(0,6),(1,4),(2,3),(2,6),(4,5),(4,6)],7)
[4,5,3,7,2,1,6]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[4,5,3,7,2,6,1]=>([(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[4,5,3,7,6,1,2]=>([(0,5),(0,6),(1,3),(2,4),(4,5),(4,6)],7)
[4,5,3,7,6,2,1]=>([(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[4,5,6,1,2,3,7]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,6,1,2,7,3]=>([(0,5),(1,4),(3,6),(4,3),(5,2),(5,6)],7)
[4,5,6,1,3,2,7]=>([(0,5),(1,3),(1,4),(2,6),(3,6),(4,6),(5,2)],7)
[4,5,6,1,3,7,2]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)
[4,5,6,1,7,2,3]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)
[4,5,6,1,7,3,2]=>([(0,5),(1,2),(1,3),(1,6),(4,6),(5,4)],7)
[4,5,6,2,1,3,7]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,5,6,2,1,7,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7)
[4,5,6,2,3,1,7]=>([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7)
[4,5,6,2,3,7,1]=>([(1,3),(2,4),(3,5),(4,6),(5,6)],7)
[4,5,6,2,7,1,3]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)
[4,5,6,2,7,3,1]=>([(1,4),(2,3),(2,6),(4,5),(5,6)],7)
[4,5,6,3,1,2,7]=>([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7)
[4,5,6,3,1,7,2]=>([(0,6),(1,4),(2,3),(2,6),(4,5),(5,6)],7)
[4,5,6,3,2,1,7]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[4,5,6,3,2,7,1]=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[4,5,6,3,7,1,2]=>([(0,6),(1,3),(2,4),(4,5),(5,6)],7)
[4,5,6,3,7,2,1]=>([(2,6),(3,4),(4,5),(5,6)],7)
[4,5,6,7,1,2,3]=>([(0,5),(1,6),(4,3),(5,4),(6,2)],7)
[4,5,6,7,1,3,2]=>([(0,6),(1,3),(1,4),(5,2),(6,5)],7)
[4,5,6,7,2,1,3]=>([(0,3),(1,6),(2,6),(3,5),(5,4)],7)
[4,5,6,7,2,3,1]=>([(1,6),(2,4),(5,3),(6,5)],7)
[4,5,6,7,3,1,2]=>([(1,6),(2,4),(5,3),(6,5)],7)
[4,5,6,7,3,2,1]=>([(3,4),(4,6),(6,5)],7)
[4,5,7,1,2,3,6]=>([(0,5),(1,4),(3,6),(4,3),(5,2),(5,6)],7)
[4,5,7,1,2,6,3]=>([(0,5),(1,4),(4,2),(4,6),(5,3),(5,6)],7)
[4,5,7,1,3,2,6]=>([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2),(5,6)],7)
[4,5,7,1,3,6,2]=>([(0,5),(1,3),(1,4),(4,6),(5,2),(5,6)],7)
[4,5,7,1,6,2,3]=>([(0,5),(1,4),(1,6),(4,3),(5,2),(5,6)],7)
[4,5,7,1,6,3,2]=>([(0,5),(1,3),(1,4),(1,6),(5,2),(5,6)],7)
[4,5,7,2,1,3,6]=>([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7)
[4,5,7,2,1,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7)
[4,5,7,2,3,1,6]=>([(0,6),(1,3),(2,4),(3,6),(4,5),(4,6)],7)
[4,5,7,2,3,6,1]=>([(1,3),(2,4),(3,6),(4,5),(4,6)],7)
[4,5,7,2,6,1,3]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(3,6)],7)
[4,5,7,2,6,3,1]=>([(1,4),(2,3),(2,6),(4,5),(4,6)],7)
[4,5,7,3,1,2,6]=>([(0,6),(1,3),(2,4),(3,6),(4,5),(4,6)],7)
[4,5,7,3,1,6,2]=>([(0,6),(1,4),(2,3),(2,6),(4,5),(4,6)],7)
[4,5,7,3,2,1,6]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7)
[4,5,7,3,2,6,1]=>([(1,6),(2,6),(3,4),(4,5),(4,6)],7)
[4,5,7,3,6,1,2]=>([(0,6),(1,3),(2,4),(4,5),(4,6)],7)
[4,5,7,3,6,2,1]=>([(2,6),(3,4),(4,5),(4,6)],7)
[4,5,7,6,1,2,3]=>([(0,6),(1,5),(5,4),(6,2),(6,3)],7)
[4,5,7,6,1,3,2]=>([(0,6),(1,4),(1,5),(6,2),(6,3)],7)
[4,5,7,6,2,1,3]=>([(0,3),(1,6),(2,6),(3,4),(3,5)],7)
[4,5,7,6,2,3,1]=>([(1,5),(2,6),(6,3),(6,4)],7)
[4,5,7,6,3,1,2]=>([(1,5),(2,6),(6,3),(6,4)],7)
[4,5,7,6,3,2,1]=>([(3,4),(4,5),(4,6)],7)
[4,6,1,2,3,5,7]=>([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(6,5)],7)
[4,6,1,2,3,7,5]=>([(0,3),(0,6),(1,4),(2,5),(2,6),(3,5),(4,2)],7)
[4,6,1,2,5,3,7]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(4,2),(4,5),(5,6)],7)
[4,6,1,2,5,7,3]=>([(0,3),(0,6),(1,4),(3,5),(4,2),(4,6),(6,5)],7)
[4,6,1,2,7,3,5]=>([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(4,5)],7)
[4,6,1,2,7,5,3]=>([(0,3),(0,6),(1,4),(3,5),(4,2),(4,5),(4,6)],7)
[4,6,1,3,2,5,7]=>([(0,4),(0,6),(1,2),(1,3),(2,6),(3,6),(4,5),(6,5)],7)
[4,6,1,3,2,7,5]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[4,6,1,3,5,2,7]=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,5),(4,6),(5,6)],7)
[4,6,1,3,5,7,2]=>([(0,4),(0,6),(1,2),(1,3),(3,6),(4,5),(6,5)],7)
[4,6,1,3,7,2,5]=>([(0,4),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(4,5)],7)
[4,6,1,3,7,5,2]=>([(0,4),(0,6),(1,2),(1,3),(3,5),(3,6),(4,5)],7)
[4,6,1,5,2,3,7]=>([(0,3),(0,5),(1,4),(1,5),(2,6),(3,6),(4,2),(5,6)],7)
[4,6,1,5,2,7,3]=>([(0,3),(0,5),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7)
[4,6,1,5,3,2,7]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(4,6),(5,6)],7)
[4,6,1,5,3,7,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(3,6),(4,6),(5,6)],7)
[4,6,1,5,7,2,3]=>([(0,3),(0,6),(1,4),(1,6),(3,5),(4,2),(6,5)],7)
[4,6,1,5,7,3,2]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(4,5),(6,5)],7)
[4,6,1,7,2,3,5]=>([(0,3),(0,5),(1,4),(1,6),(2,5),(3,6),(4,2)],7)
[4,6,1,7,2,5,3]=>([(0,3),(0,6),(1,4),(1,5),(3,5),(4,2),(4,6)],7)
[4,6,1,7,3,2,5]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5)],7)
[4,6,1,7,3,5,2]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(3,6),(4,5)],7)
[4,6,1,7,5,2,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,5),(4,2)],7)
[4,6,1,7,5,3,2]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(4,5)],7)
[4,6,2,1,3,5,7]=>([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)
[4,6,2,1,3,7,5]=>([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
[4,6,2,1,5,3,7]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)
[4,6,2,1,5,7,3]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7)
[4,6,2,1,7,3,5]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)
[4,6,2,1,7,5,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6)],7)
[4,6,2,3,1,5,7]=>([(0,6),(1,3),(2,4),(2,6),(3,6),(4,5),(6,5)],7)
[4,6,2,3,1,7,5]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
[4,6,2,3,5,1,7]=>([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)
[4,6,2,3,5,7,1]=>([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)
[4,6,2,3,7,1,5]=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(4,6)],7)
[4,6,2,3,7,5,1]=>([(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
[4,6,2,5,1,3,7]=>([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)
[4,6,2,5,1,7,3]=>([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(5,6)],7)
[4,6,2,5,3,1,7]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)
[4,6,2,5,3,7,1]=>([(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)
[4,6,2,5,7,1,3]=>([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(5,6)],7)
[4,6,2,5,7,3,1]=>([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7)
[4,6,2,7,1,3,5]=>([(0,4),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)
[4,6,2,7,1,5,3]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,5)],7)
[4,6,2,7,3,1,5]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)
[4,6,2,7,3,5,1]=>([(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)
[4,6,2,7,5,1,3]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6)],7)
[4,6,2,7,5,3,1]=>([(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7)
[4,6,3,1,2,5,7]=>([(0,6),(1,3),(2,4),(2,6),(3,6),(4,5),(6,5)],7)
[4,6,3,1,2,7,5]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
[4,6,3,1,5,2,7]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)
[4,6,3,1,5,7,2]=>([(0,6),(1,3),(1,6),(2,4),(2,6),(4,5),(6,5)],7)
[4,6,3,1,7,2,5]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)
[4,6,3,1,7,5,2]=>([(0,5),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7)
[4,6,3,2,1,5,7]=>([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)
[4,6,3,2,1,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)
[4,6,3,2,5,1,7]=>([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,6,3,2,5,7,1]=>([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)
[4,6,3,2,7,1,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
[4,6,3,2,7,5,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)
[4,6,3,5,1,2,7]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,6,3,5,1,7,2]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7)
[4,6,3,5,2,1,7]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,6,3,5,2,7,1]=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,6,3,5,7,1,2]=>([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7)
[4,6,3,5,7,2,1]=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,6,3,7,1,2,5]=>([(0,5),(0,6),(1,3),(2,4),(2,6),(3,6),(4,5)],7)
[4,6,3,7,1,5,2]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,6),(4,5)],7)
[4,6,3,7,2,1,5]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
[4,6,3,7,2,5,1]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
[4,6,3,7,5,1,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(4,6)],7)
[4,6,3,7,5,2,1]=>([(2,5),(2,6),(3,4),(3,5),(4,6)],7)
[4,6,5,1,2,3,7]=>([(0,5),(1,3),(1,4),(2,6),(3,6),(4,6),(5,2)],7)
[4,6,5,1,2,7,3]=>([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2),(5,6)],7)
[4,6,5,1,3,2,7]=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
[4,6,5,1,3,7,2]=>([(0,3),(0,4),(1,2),(1,5),(3,6),(4,6),(5,6)],7)
[4,6,5,1,7,2,3]=>([(0,5),(0,6),(1,3),(1,4),(3,6),(4,6),(5,2)],7)
[4,6,5,1,7,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,6),(4,6),(5,6)],7)
[4,6,5,2,1,3,7]=>([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[4,6,5,2,1,7,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7)
[4,6,5,2,3,1,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[4,6,5,2,3,7,1]=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[4,6,5,2,7,1,3]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7)
[4,6,5,2,7,3,1]=>([(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7)
[4,6,5,3,1,2,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[4,6,5,3,1,7,2]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7)
[4,6,5,3,2,1,7]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,6,5,3,2,7,1]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,6,5,3,7,1,2]=>([(0,6),(1,3),(2,4),(2,5),(4,6),(5,6)],7)
[4,6,5,3,7,2,1]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,6,5,7,1,2,3]=>([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2)],7)
[4,6,5,7,1,3,2]=>([(0,2),(0,3),(1,4),(1,5),(4,6),(5,6)],7)
[4,6,5,7,2,1,3]=>([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7)
[4,6,5,7,2,3,1]=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7)
[4,6,5,7,3,1,2]=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7)
[4,6,5,7,3,2,1]=>([(3,4),(3,5),(4,6),(5,6)],7)
[4,6,7,1,2,3,5]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)
[4,6,7,1,2,5,3]=>([(0,5),(1,4),(1,6),(4,3),(5,2),(5,6)],7)
[4,6,7,1,3,2,5]=>([(0,5),(0,6),(1,3),(1,4),(3,6),(4,6),(5,2)],7)
[4,6,7,1,3,5,2]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)
[4,6,7,1,5,2,3]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)
[4,6,7,1,5,3,2]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(5,2)],7)
[4,6,7,2,1,3,5]=>([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7)
[4,6,7,2,1,5,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7)
[4,6,7,2,3,1,5]=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,6)],7)
[4,6,7,2,3,5,1]=>([(1,4),(2,3),(2,6),(3,5),(4,6)],7)
[4,6,7,2,5,1,3]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)
[4,6,7,2,5,3,1]=>([(1,3),(1,6),(2,4),(2,6),(4,5)],7)
[4,6,7,3,1,2,5]=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,6)],7)
[4,6,7,3,1,5,2]=>([(0,6),(1,3),(1,6),(2,4),(2,6),(4,5)],7)
[4,6,7,3,2,1,5]=>([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7)
[4,6,7,3,2,5,1]=>([(1,6),(2,6),(3,4),(3,6),(4,5)],7)
[4,6,7,3,5,1,2]=>([(0,6),(1,3),(2,4),(2,6),(4,5)],7)
[4,6,7,3,5,2,1]=>([(2,6),(3,4),(3,6),(4,5)],7)
[4,6,7,5,1,2,3]=>([(0,6),(1,4),(1,5),(5,3),(6,2)],7)
[4,6,7,5,1,3,2]=>([(0,3),(0,4),(1,5),(1,6),(6,2)],7)
[4,6,7,5,2,1,3]=>([(0,6),(1,6),(2,3),(2,4),(4,5)],7)
[4,6,7,5,2,3,1]=>([(1,5),(2,4),(2,6),(6,3)],7)
[4,6,7,5,3,1,2]=>([(1,5),(2,4),(2,6),(6,3)],7)
[4,6,7,5,3,2,1]=>([(3,4),(3,5),(5,6)],7)
[4,7,1,2,3,5,6]=>([(0,5),(1,4),(1,6),(2,6),(5,2),(6,3)],7)
[4,7,1,2,3,6,5]=>([(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(4,2)],7)
[4,7,1,2,5,3,6]=>([(0,3),(0,6),(1,4),(2,5),(4,2),(4,6),(6,5)],7)
[4,7,1,2,5,6,3]=>([(0,5),(1,4),(1,6),(5,2),(5,6),(6,3)],7)
[4,7,1,2,6,3,5]=>([(0,4),(1,3),(1,5),(1,6),(2,5),(4,2),(4,6)],7)
[4,7,1,2,6,5,3]=>([(0,4),(1,3),(1,5),(1,6),(4,2),(4,5),(4,6)],7)
[4,7,1,3,2,5,6]=>([(0,5),(0,6),(1,2),(1,3),(2,6),(3,6),(6,4)],7)
[4,7,1,3,2,6,5]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7)
[4,7,1,3,5,2,6]=>([(0,4),(0,6),(1,2),(1,3),(2,6),(3,5),(6,5)],7)
[4,7,1,3,5,6,2]=>([(0,5),(0,6),(1,2),(1,3),(3,6),(6,4)],7)
[4,7,1,3,6,2,5]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6)],7)
[4,7,1,3,6,5,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(3,5),(3,6)],7)
[4,7,1,5,2,3,6]=>([(0,3),(0,6),(1,4),(1,6),(2,5),(4,2),(6,5)],7)
[4,7,1,5,2,6,3]=>([(0,3),(0,6),(1,4),(1,6),(4,2),(4,5),(6,5)],7)
[4,7,1,5,3,2,6]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6)],7)
[4,7,1,5,3,6,2]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(3,5),(6,5)],7)
[4,7,1,5,6,2,3]=>([(0,4),(0,6),(1,5),(1,6),(5,2),(6,3)],7)
[4,7,1,5,6,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,6),(6,4)],7)
[4,7,1,6,2,3,5]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,5),(4,2)],7)
[4,7,1,6,2,5,3]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(4,2),(4,5)],7)
[4,7,1,6,3,2,5]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6)],7)
[4,7,1,6,3,5,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(3,5)],7)
[4,7,1,6,5,2,3]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(4,2)],7)
[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)
[4,7,2,1,3,5,6]=>([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7)
[4,7,2,1,3,6,5]=>([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)
[4,7,2,1,5,3,6]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7)
[4,7,2,1,5,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7)
[4,7,2,1,6,3,5]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7)
[4,7,2,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)
[4,7,2,3,1,5,6]=>([(0,6),(1,4),(2,3),(2,6),(4,6),(6,5)],7)
[4,7,2,3,1,6,5]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)
[4,7,2,3,5,1,6]=>([(0,5),(1,4),(2,3),(2,6),(4,6),(6,5)],7)
[4,7,2,3,5,6,1]=>([(1,4),(2,3),(2,6),(4,6),(6,5)],7)
[4,7,2,3,6,1,5]=>([(0,6),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)
[4,7,2,3,6,5,1]=>([(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)
[4,7,2,5,1,3,6]=>([(0,4),(1,4),(1,5),(2,3),(2,5),(4,6),(5,6)],7)
[4,7,2,5,1,6,3]=>([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(5,6)],7)
[4,7,2,5,3,1,6]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7)
[4,7,2,5,3,6,1]=>([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7)
[4,7,2,5,6,1,3]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(6,3)],7)
[4,7,2,5,6,3,1]=>([(1,4),(1,6),(2,3),(2,6),(6,5)],7)
[4,7,2,6,1,3,5]=>([(0,4),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7)
[4,7,2,6,1,5,3]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)
[4,7,2,6,3,1,5]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7)
[4,7,2,6,3,5,1]=>([(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7)
[4,7,2,6,5,1,3]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)
[4,7,2,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)
[4,7,3,1,2,5,6]=>([(0,6),(1,4),(2,3),(2,6),(4,6),(6,5)],7)
[4,7,3,1,2,6,5]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)
[4,7,3,1,5,2,6]=>([(0,6),(1,3),(1,6),(2,4),(2,6),(4,5),(6,5)],7)
[4,7,3,1,5,6,2]=>([(0,6),(1,4),(1,6),(2,3),(2,6),(6,5)],7)
[4,7,3,1,6,2,5]=>([(0,5),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7)
[4,7,3,1,6,5,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)
[4,7,3,2,1,5,6]=>([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7)
[4,7,3,2,1,6,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,7,3,2,5,1,6]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7)
[4,7,3,2,5,6,1]=>([(1,6),(2,6),(3,4),(3,6),(6,5)],7)
[4,7,3,2,6,1,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,7,3,2,6,5,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,7,3,5,1,2,6]=>([(0,5),(1,4),(2,3),(2,5),(4,6),(5,6)],7)
[4,7,3,5,1,6,2]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(5,6)],7)
[4,7,3,5,2,1,6]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7)
[4,7,3,5,2,6,1]=>([(1,6),(2,5),(3,4),(3,5),(5,6)],7)
[4,7,3,5,6,1,2]=>([(0,6),(1,3),(2,4),(2,6),(6,5)],7)
[4,7,3,5,6,2,1]=>([(2,6),(3,4),(3,6),(6,5)],7)
[4,7,3,6,1,2,5]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(2,6),(4,6)],7)
[4,7,3,6,1,5,2]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6)],7)
[4,7,3,6,2,1,5]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,7,3,6,2,5,1]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,7,3,6,5,1,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)
[4,7,3,6,5,2,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,7,5,1,2,3,6]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)
[4,7,5,1,2,6,3]=>([(0,5),(1,3),(1,4),(4,6),(5,2),(5,6)],7)
[4,7,5,1,3,2,6]=>([(0,3),(0,4),(1,2),(1,5),(3,6),(4,6),(5,6)],7)
[4,7,5,1,3,6,2]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)
[4,7,5,1,6,2,3]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)
[4,7,5,1,6,3,2]=>([(0,2),(0,5),(1,3),(1,4),(1,6),(5,6)],7)
[4,7,5,2,1,3,6]=>([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7)
[4,7,5,2,1,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7)
[4,7,5,2,3,1,6]=>([(0,6),(1,5),(2,3),(2,4),(4,6),(5,6)],7)
[4,7,5,2,3,6,1]=>([(1,5),(2,3),(2,4),(4,6),(5,6)],7)
[4,7,5,2,6,1,3]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)
[4,7,5,2,6,3,1]=>([(1,4),(1,6),(2,3),(2,5),(5,6)],7)
[4,7,5,3,1,2,6]=>([(0,6),(1,5),(2,3),(2,4),(4,6),(5,6)],7)
[4,7,5,3,1,6,2]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(5,6)],7)
[4,7,5,3,2,1,6]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)
[4,7,5,3,2,6,1]=>([(1,6),(2,6),(3,4),(3,5),(5,6)],7)
[4,7,5,3,6,1,2]=>([(0,6),(1,4),(2,3),(2,5),(5,6)],7)
[4,7,5,3,6,2,1]=>([(2,6),(3,4),(3,5),(5,6)],7)
[4,7,5,6,1,2,3]=>([(0,6),(1,4),(1,5),(5,3),(6,2)],7)
[4,7,5,6,1,3,2]=>([(0,3),(0,4),(1,5),(1,6),(6,2)],7)
[4,7,5,6,2,1,3]=>([(0,6),(1,6),(2,3),(2,4),(4,5)],7)
[4,7,5,6,2,3,1]=>([(1,5),(2,4),(2,6),(6,3)],7)
[4,7,5,6,3,1,2]=>([(1,5),(2,4),(2,6),(6,3)],7)
[4,7,5,6,3,2,1]=>([(3,4),(3,5),(5,6)],7)
[4,7,6,1,2,3,5]=>([(0,5),(1,2),(1,3),(1,6),(4,6),(5,4)],7)
[4,7,6,1,2,5,3]=>([(0,5),(1,3),(1,4),(1,6),(5,2),(5,6)],7)
[4,7,6,1,3,2,5]=>([(0,4),(0,5),(1,2),(1,3),(1,6),(4,6),(5,6)],7)
[4,7,6,1,3,5,2]=>([(0,2),(0,5),(1,3),(1,4),(1,6),(5,6)],7)
[4,7,6,1,5,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(5,2)],7)
[4,7,6,1,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7)
[4,7,6,2,1,3,5]=>([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7)
[4,7,6,2,1,5,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)
[4,7,6,2,3,1,5]=>([(0,6),(1,5),(2,3),(2,4),(2,6),(5,6)],7)
[4,7,6,2,3,5,1]=>([(1,5),(2,3),(2,4),(2,6),(5,6)],7)
[4,7,6,2,5,1,3]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7)
[4,7,6,2,5,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)
[4,7,6,3,1,2,5]=>([(0,6),(1,5),(2,3),(2,4),(2,6),(5,6)],7)
[4,7,6,3,1,5,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)
[4,7,6,3,2,1,5]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)
[4,7,6,3,2,5,1]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)
[4,7,6,3,5,1,2]=>([(0,6),(1,5),(2,3),(2,4),(2,6)],7)
[4,7,6,3,5,2,1]=>([(2,6),(3,4),(3,5),(3,6)],7)
[4,7,6,5,1,2,3]=>([(0,6),(1,3),(1,4),(1,5),(6,2)],7)
[4,7,6,5,1,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4)],7)
[4,7,6,5,2,1,3]=>([(0,6),(1,6),(2,3),(2,4),(2,5)],7)
[4,7,6,5,2,3,1]=>([(1,6),(2,3),(2,4),(2,5)],7)
[4,7,6,5,3,1,2]=>([(1,6),(2,3),(2,4),(2,5)],7)
[4,7,6,5,3,2,1]=>([(3,4),(3,5),(3,6)],7)
[5,1,2,3,4,6,7]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[5,1,2,3,4,7,6]=>([(0,5),(0,6),(1,4),(2,5),(2,6),(3,2),(4,3)],7)
[5,1,2,3,6,4,7]=>([(0,6),(1,4),(2,5),(3,2),(3,6),(4,3),(6,5)],7)
[5,1,2,3,6,7,4]=>([(0,6),(1,4),(4,5),(5,2),(5,6),(6,3)],7)
[5,1,2,3,7,4,6]=>([(0,5),(0,6),(1,3),(2,6),(3,4),(4,2),(4,5)],7)
[5,1,2,3,7,6,4]=>([(0,5),(0,6),(1,3),(3,4),(4,2),(4,5),(4,6)],7)
[5,1,2,4,3,6,7]=>([(0,6),(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7)
[5,1,2,4,3,7,6]=>([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)
[5,1,2,4,6,3,7]=>([(0,6),(1,4),(2,6),(3,5),(4,2),(4,3),(6,5)],7)
[5,1,2,4,6,7,3]=>([(0,6),(1,5),(3,6),(5,2),(5,3),(6,4)],7)
[5,1,2,4,7,3,6]=>([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7)
[5,1,2,4,7,6,3]=>([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7)
[5,1,2,6,3,4,7]=>([(0,6),(1,4),(2,5),(3,2),(4,3),(4,6),(6,5)],7)
[5,1,2,6,3,7,4]=>([(0,6),(1,3),(3,4),(3,6),(4,2),(4,5),(6,5)],7)
[5,1,2,6,4,3,7]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(4,3),(4,5),(5,6)],7)
[5,1,2,6,4,7,3]=>([(0,6),(1,4),(3,5),(4,2),(4,3),(4,6),(6,5)],7)
[5,1,2,6,7,3,4]=>([(0,6),(1,5),(4,2),(5,4),(5,6),(6,3)],7)
[5,1,2,6,7,4,3]=>([(0,6),(1,5),(5,2),(5,3),(5,6),(6,4)],7)
[5,1,2,7,3,4,6]=>([(0,5),(0,6),(1,4),(2,6),(3,2),(4,3),(4,5)],7)
[5,1,2,7,3,6,4]=>([(0,5),(0,6),(1,4),(3,2),(3,5),(4,3),(4,6)],7)
[5,1,2,7,4,3,6]=>([(0,5),(0,6),(1,4),(2,6),(3,6),(4,2),(4,3),(4,5)],7)
[5,1,2,7,4,6,3]=>([(0,5),(0,6),(1,4),(3,5),(4,2),(4,3),(4,6)],7)
[5,1,2,7,6,3,4]=>([(0,5),(0,6),(1,4),(3,2),(4,3),(4,5),(4,6)],7)
[5,1,2,7,6,4,3]=>([(0,5),(0,6),(1,4),(4,2),(4,3),(4,5),(4,6)],7)
[5,1,3,2,4,6,7]=>([(0,6),(1,3),(1,4),(3,5),(4,5),(5,6),(6,2)],7)
[5,1,3,2,4,7,6]=>([(0,2),(0,3),(1,4),(1,5),(2,6),(3,6),(6,4),(6,5)],7)
[5,1,3,2,6,4,7]=>([(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)
[5,1,3,2,6,7,4]=>([(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)
[5,1,3,2,7,4,6]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4)],7)
[5,1,3,2,7,6,4]=>([(0,5),(0,6),(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[5,1,3,4,2,6,7]=>([(0,6),(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)
[5,1,3,4,2,7,6]=>([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)
[5,1,3,4,6,2,7]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7)
[5,1,3,4,6,7,2]=>([(0,6),(1,2),(1,5),(3,6),(5,3),(6,4)],7)
[5,1,3,4,7,2,6]=>([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7)
[5,1,3,4,7,6,2]=>([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7)
[5,1,3,6,2,4,7]=>([(0,2),(0,3),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)
[5,1,3,6,2,7,4]=>([(0,2),(0,3),(1,6),(2,4),(2,5),(3,5),(3,6),(6,4)],7)
[5,1,3,6,4,2,7]=>([(0,5),(1,3),(1,4),(2,6),(3,6),(4,2),(4,5),(5,6)],7)
[5,1,3,6,4,7,2]=>([(0,6),(1,2),(1,4),(3,5),(4,3),(4,6),(6,5)],7)
[5,1,3,6,7,2,4]=>([(0,6),(1,3),(1,4),(3,5),(4,5),(4,6),(6,2)],7)
[5,1,3,6,7,4,2]=>([(0,6),(1,3),(1,5),(5,2),(5,6),(6,4)],7)
[5,1,3,7,2,4,6]=>([(0,2),(0,3),(1,4),(1,5),(2,6),(3,5),(3,6),(6,4)],7)
[5,1,3,7,2,6,4]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[5,1,3,7,4,2,6]=>([(0,5),(0,6),(1,3),(1,4),(2,6),(3,6),(4,2),(4,5)],7)
[5,1,3,7,4,6,2]=>([(0,5),(0,6),(1,2),(1,4),(3,5),(4,3),(4,6)],7)
[5,1,3,7,6,2,4]=>([(0,2),(0,3),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6)],7)
[5,1,3,7,6,4,2]=>([(0,5),(0,6),(1,3),(1,4),(4,2),(4,5),(4,6)],7)
[5,1,4,2,3,6,7]=>([(0,6),(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)
[5,1,4,2,3,7,6]=>([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)
[5,1,4,2,6,3,7]=>([(0,6),(1,2),(1,4),(2,6),(3,5),(4,3),(4,6),(6,5)],7)
[5,1,4,2,6,7,3]=>([(0,6),(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)
[5,1,4,2,7,3,6]=>([(0,5),(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)
[5,1,4,2,7,6,3]=>([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)
[5,1,4,3,2,6,7]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)
[5,1,4,3,2,7,6]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,4,3,6,2,7]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)
[5,1,4,3,6,7,2]=>([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)
[5,1,4,3,7,2,6]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,4,3,7,6,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,4,6,2,3,7]=>([(0,6),(1,2),(1,4),(2,6),(3,5),(4,3),(6,5)],7)
[5,1,4,6,2,7,3]=>([(0,6),(1,3),(1,4),(3,6),(4,2),(4,5),(6,5)],7)
[5,1,4,6,3,2,7]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(5,6)],7)
[5,1,4,6,3,7,2]=>([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7)
[5,1,4,6,7,2,3]=>([(0,6),(1,3),(1,5),(3,6),(5,2),(6,4)],7)
[5,1,4,6,7,3,2]=>([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7)
[5,1,4,7,2,3,6]=>([(0,5),(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2)],7)
[5,1,4,7,2,6,3]=>([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,6)],7)
[5,1,4,7,3,2,6]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],7)
[5,1,4,7,3,6,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(4,6)],7)
[5,1,4,7,6,2,3]=>([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2)],7)
[5,1,4,7,6,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7)
[5,1,6,2,3,4,7]=>([(0,6),(1,4),(1,6),(2,5),(3,2),(4,3),(6,5)],7)
[5,1,6,2,3,7,4]=>([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7)
[5,1,6,2,4,3,7]=>([(0,5),(1,4),(1,5),(2,6),(3,6),(4,2),(4,3),(5,6)],7)
[5,1,6,2,4,7,3]=>([(0,6),(1,4),(1,6),(3,5),(4,2),(4,3),(6,5)],7)
[5,1,6,2,7,3,4]=>([(0,6),(1,4),(1,6),(3,2),(4,3),(4,5),(6,5)],7)
[5,1,6,2,7,4,3]=>([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7)
[5,1,6,3,2,4,7]=>([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7)
[5,1,6,3,2,7,4]=>([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[5,1,6,3,4,2,7]=>([(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2),(5,6)],7)
[5,1,6,3,4,7,2]=>([(0,6),(1,2),(1,4),(1,6),(3,5),(4,3),(6,5)],7)
[5,1,6,3,7,2,4]=>([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7)
[5,1,6,3,7,4,2]=>([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7)
[5,1,6,4,2,3,7]=>([(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2),(5,6)],7)
[5,1,6,4,2,7,3]=>([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7)
[5,1,6,4,3,2,7]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)
[5,1,6,4,3,7,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)
[5,1,6,4,7,2,3]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7)
[5,1,6,4,7,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7)
[5,1,6,7,2,3,4]=>([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7)
[5,1,6,7,2,4,3]=>([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7)
[5,1,6,7,3,2,4]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7)
[5,1,6,7,3,4,2]=>([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7)
[5,1,6,7,4,2,3]=>([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7)
[5,1,6,7,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7)
[5,1,7,2,3,4,6]=>([(0,5),(0,6),(1,4),(1,6),(2,5),(3,2),(4,3)],7)
[5,1,7,2,3,6,4]=>([(0,5),(0,6),(1,3),(1,6),(3,4),(4,2),(4,5)],7)
[5,1,7,2,4,3,6]=>([(0,5),(0,6),(1,4),(1,5),(2,6),(3,6),(4,2),(4,3)],7)
[5,1,7,2,4,6,3]=>([(0,5),(0,6),(1,4),(1,6),(3,5),(4,2),(4,3)],7)
[5,1,7,2,6,3,4]=>([(0,5),(0,6),(1,4),(1,6),(3,2),(4,3),(4,5)],7)
[5,1,7,2,6,4,3]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(4,3),(4,5)],7)
[5,1,7,3,2,4,6]=>([(0,2),(0,3),(0,5),(1,4),(1,5),(2,6),(3,6),(6,4)],7)
[5,1,7,3,2,6,4]=>([(0,4),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7)
[5,1,7,3,4,2,6]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2)],7)
[5,1,7,3,4,6,2]=>([(0,5),(0,6),(1,2),(1,4),(1,6),(3,5),(4,3)],7)
[5,1,7,3,6,2,4]=>([(0,2),(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(3,5)],7)
[5,1,7,3,6,4,2]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(4,2),(4,5)],7)
[5,1,7,4,2,3,6]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2)],7)
[5,1,7,4,2,6,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6)],7)
[5,1,7,4,3,2,6]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)
[5,1,7,4,3,6,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6)],7)
[5,1,7,4,6,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(3,5),(4,2)],7)
[5,1,7,4,6,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(4,5)],7)
[5,1,7,6,2,3,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3)],7)
[5,1,7,6,2,4,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(4,2),(4,3)],7)
[5,1,7,6,3,2,4]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(3,4)],7)
[5,1,7,6,3,4,2]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(4,2)],7)
[5,1,7,6,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(4,2)],7)
[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)
[5,2,1,3,4,6,7]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[5,2,1,3,4,7,6]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7)
[5,2,1,3,6,4,7]=>([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7)
[5,2,1,3,6,7,4]=>([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7)
[5,2,1,3,7,4,6]=>([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7)
[5,2,1,3,7,6,4]=>([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7)
[5,2,1,4,3,6,7]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)
[5,2,1,4,3,7,6]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,1,4,6,3,7]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)
[5,2,1,4,6,7,3]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7)
[5,2,1,4,7,3,6]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[5,2,1,4,7,6,3]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)
[5,2,1,6,3,4,7]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7)
[5,2,1,6,3,7,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7)
[5,2,1,6,4,3,7]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[5,2,1,6,4,7,3]=>([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)
[5,2,1,6,7,3,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)
[5,2,1,6,7,4,3]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)
[5,2,1,7,3,4,6]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7)
[5,2,1,7,3,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7)
[5,2,1,7,4,3,6]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)
[5,2,1,7,4,6,3]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5)],7)
[5,2,1,7,6,3,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,3)],7)
[5,2,1,7,6,4,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[5,2,3,1,4,6,7]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[5,2,3,1,4,7,6]=>([(0,6),(1,4),(1,5),(2,3),(3,6),(6,4),(6,5)],7)
[5,2,3,1,6,4,7]=>([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)
[5,2,3,1,6,7,4]=>([(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)
[5,2,3,1,7,4,6]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(5,4)],7)
[5,2,3,1,7,6,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)
[5,2,3,4,1,6,7]=>([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)
[5,2,3,4,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)
[5,2,3,4,6,1,7]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[5,2,3,4,6,7,1]=>([(1,6),(2,3),(3,5),(5,6),(6,4)],7)
[5,2,3,4,7,1,6]=>([(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)
[5,2,3,4,7,6,1]=>([(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)
[5,2,3,6,1,4,7]=>([(0,6),(1,5),(2,3),(3,5),(3,6),(5,4),(6,4)],7)
[5,2,3,6,1,7,4]=>([(0,6),(1,4),(1,5),(2,3),(3,5),(3,6),(6,4)],7)
[5,2,3,6,4,1,7]=>([(0,6),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,3,6,4,7,1]=>([(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)
[5,2,3,6,7,1,4]=>([(0,6),(1,5),(2,4),(4,5),(4,6),(6,3)],7)
[5,2,3,6,7,4,1]=>([(1,6),(2,3),(3,5),(3,6),(6,4)],7)
[5,2,3,7,1,4,6]=>([(0,6),(1,4),(1,5),(2,3),(3,5),(3,6),(6,4)],7)
[5,2,3,7,1,6,4]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(3,4),(3,5),(3,6)],7)
[5,2,3,7,4,1,6]=>([(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(4,6)],7)
[5,2,3,7,4,6,1]=>([(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)
[5,2,3,7,6,1,4]=>([(0,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)
[5,2,3,7,6,4,1]=>([(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)
[5,2,4,1,3,6,7]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)
[5,2,4,1,3,7,6]=>([(0,5),(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,4,1,6,3,7]=>([(0,6),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)
[5,2,4,1,6,7,3]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)
[5,2,4,1,7,3,6]=>([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)
[5,2,4,1,7,6,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)
[5,2,4,3,1,6,7]=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)
[5,2,4,3,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,4,3,6,1,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)
[5,2,4,3,6,7,1]=>([(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)
[5,2,4,3,7,1,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,4,3,7,6,1]=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,4,6,1,3,7]=>([(0,6),(1,4),(2,3),(2,4),(3,6),(4,5),(6,5)],7)
[5,2,4,6,1,7,3]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(3,6),(6,5)],7)
[5,2,4,6,3,1,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,4,6,3,7,1]=>([(1,5),(2,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,4,6,7,1,3]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(6,4)],7)
[5,2,4,6,7,3,1]=>([(1,6),(2,3),(2,4),(4,6),(6,5)],7)
[5,2,4,7,1,3,6]=>([(0,5),(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,6)],7)
[5,2,4,7,1,6,3]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6)],7)
[5,2,4,7,3,1,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[5,2,4,7,3,6,1]=>([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[5,2,4,7,6,1,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)
[5,2,4,7,6,3,1]=>([(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)
[5,2,6,1,3,4,7]=>([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7)
[5,2,6,1,3,7,4]=>([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7)
[5,2,6,1,4,3,7]=>([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[5,2,6,1,4,7,3]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7)
[5,2,6,1,7,3,4]=>([(0,5),(0,6),(1,4),(2,4),(2,6),(4,5),(6,3)],7)
[5,2,6,1,7,4,3]=>([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7)
[5,2,6,3,1,4,7]=>([(0,6),(1,4),(2,3),(2,4),(3,6),(4,5),(6,5)],7)
[5,2,6,3,1,7,4]=>([(0,5),(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,6)],7)
[5,2,6,3,4,1,7]=>([(0,6),(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
[5,2,6,3,4,7,1]=>([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
[5,2,6,3,7,1,4]=>([(0,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)
[5,2,6,3,7,4,1]=>([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)
[5,2,6,4,1,3,7]=>([(0,5),(1,4),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[5,2,6,4,1,7,3]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(3,6),(5,6)],7)
[5,2,6,4,3,1,7]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[5,2,6,4,3,7,1]=>([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[5,2,6,4,7,1,3]=>([(0,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7)
[5,2,6,4,7,3,1]=>([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)
[5,2,6,7,1,3,4]=>([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7)
[5,2,6,7,1,4,3]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7)
[5,2,6,7,3,1,4]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(5,4)],7)
[5,2,6,7,3,4,1]=>([(1,6),(2,3),(2,6),(3,5),(6,4)],7)
[5,2,6,7,4,1,3]=>([(0,6),(1,5),(2,4),(2,5),(2,6),(6,3)],7)
[5,2,6,7,4,3,1]=>([(1,6),(2,3),(2,4),(2,6),(6,5)],7)
[5,2,7,1,3,4,6]=>([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7)
[5,2,7,1,3,6,4]=>([(0,6),(1,4),(1,6),(2,4),(2,5),(6,3),(6,5)],7)
[5,2,7,1,4,3,6]=>([(0,3),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)
[5,2,7,1,4,6,3]=>([(0,3),(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)
[5,2,7,1,6,3,4]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(5,3)],7)
[5,2,7,1,6,4,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[5,2,7,3,1,4,6]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(3,6),(6,5)],7)
[5,2,7,3,1,6,4]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6)],7)
[5,2,7,3,4,1,6]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)
[5,2,7,3,4,6,1]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)
[5,2,7,3,6,1,4]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6)],7)
[5,2,7,3,6,4,1]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)
[5,2,7,4,1,3,6]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(3,6),(5,6)],7)
[5,2,7,4,1,6,3]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,6)],7)
[5,2,7,4,3,1,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)
[5,2,7,4,3,6,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)
[5,2,7,4,6,1,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)
[5,2,7,4,6,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)
[5,2,7,6,1,3,4]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7)
[5,2,7,6,1,4,3]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6)],7)
[5,2,7,6,3,1,4]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6)],7)
[5,2,7,6,3,4,1]=>([(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)
[5,2,7,6,4,1,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[5,2,7,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[5,3,1,2,4,6,7]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[5,3,1,2,4,7,6]=>([(0,6),(1,4),(1,5),(2,3),(3,6),(6,4),(6,5)],7)
[5,3,1,2,6,4,7]=>([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)
[5,3,1,2,6,7,4]=>([(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)
[5,3,1,2,7,4,6]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(5,4)],7)
[5,3,1,2,7,6,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)
[5,3,1,4,2,6,7]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)
[5,3,1,4,2,7,6]=>([(0,5),(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,1,4,6,2,7]=>([(0,5),(1,4),(2,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,1,4,6,7,2]=>([(0,6),(1,5),(2,4),(2,5),(5,6),(6,3)],7)
[5,3,1,4,7,2,6]=>([(0,5),(0,6),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[5,3,1,4,7,6,2]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)
[5,3,1,6,2,4,7]=>([(0,6),(1,5),(1,6),(2,3),(2,6),(3,5),(5,4),(6,4)],7)
[5,3,1,6,2,7,4]=>([(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7)
[5,3,1,6,4,2,7]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[5,3,1,6,4,7,2]=>([(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)
[5,3,1,6,7,2,4]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(4,5),(6,3)],7)
[5,3,1,6,7,4,2]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(6,4)],7)
[5,3,1,7,2,4,6]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(5,4)],7)
[5,3,1,7,2,6,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)
[5,3,1,7,4,2,6]=>([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)
[5,3,1,7,4,6,2]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5)],7)
[5,3,1,7,6,2,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)
[5,3,1,7,6,4,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[5,3,2,1,4,6,7]=>([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)
[5,3,2,1,4,7,6]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)
[5,3,2,1,6,4,7]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)
[5,3,2,1,6,7,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)
[5,3,2,1,7,4,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7)
[5,3,2,1,7,6,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[5,3,2,4,1,6,7]=>([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)
[5,3,2,4,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)
[5,3,2,4,6,1,7]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[5,3,2,4,6,7,1]=>([(1,6),(2,5),(3,5),(5,6),(6,4)],7)
[5,3,2,4,7,1,6]=>([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)
[5,3,2,4,7,6,1]=>([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,2,6,1,4,7]=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)
[5,3,2,6,1,7,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7)
[5,3,2,6,4,1,7]=>([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,2,6,4,7,1]=>([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)
[5,3,2,6,7,1,4]=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7)
[5,3,2,6,7,4,1]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)
[5,3,2,7,1,4,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7)
[5,3,2,7,1,6,4]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[5,3,2,7,4,1,6]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7)
[5,3,2,7,4,6,1]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)
[5,3,2,7,6,1,4]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[5,3,2,7,6,4,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[5,3,4,1,2,6,7]=>([(0,6),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[5,3,4,1,2,7,6]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,4,1,6,2,7]=>([(0,6),(1,3),(2,4),(2,6),(3,6),(4,5),(6,5)],7)
[5,3,4,1,6,7,2]=>([(0,6),(1,4),(2,3),(2,6),(4,6),(6,5)],7)
[5,3,4,1,7,2,6]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
[5,3,4,1,7,6,2]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)
[5,3,4,2,1,6,7]=>([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)
[5,3,4,2,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[5,3,4,2,6,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)
[5,3,4,2,6,7,1]=>([(1,6),(2,6),(3,4),(4,6),(6,5)],7)
[5,3,4,2,7,1,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[5,3,4,2,7,6,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[5,3,4,6,1,2,7]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,4,6,1,7,2]=>([(0,6),(1,4),(2,3),(2,5),(4,6),(6,5)],7)
[5,3,4,6,2,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)
[5,3,4,6,2,7,1]=>([(1,6),(2,5),(3,4),(4,6),(6,5)],7)
[5,3,4,6,7,1,2]=>([(0,6),(1,3),(2,4),(4,6),(6,5)],7)
[5,3,4,6,7,2,1]=>([(2,6),(3,4),(4,6),(6,5)],7)
[5,3,4,7,1,2,6]=>([(0,5),(0,6),(1,3),(2,4),(3,6),(4,5),(4,6)],7)
[5,3,4,7,1,6,2]=>([(0,5),(0,6),(1,4),(2,3),(2,6),(4,5),(4,6)],7)
[5,3,4,7,2,1,6]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[5,3,4,7,2,6,1]=>([(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[5,3,4,7,6,1,2]=>([(0,5),(0,6),(1,3),(2,4),(4,5),(4,6)],7)
[5,3,4,7,6,2,1]=>([(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[5,3,6,1,2,4,7]=>([(0,4),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)
[5,3,6,1,2,7,4]=>([(0,4),(1,4),(1,5),(2,3),(3,5),(3,6),(4,6)],7)
[5,3,6,1,4,2,7]=>([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)
[5,3,6,1,4,7,2]=>([(0,4),(1,4),(1,5),(2,3),(2,5),(4,6),(5,6)],7)
[5,3,6,1,7,2,4]=>([(0,4),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)
[5,3,6,1,7,4,2]=>([(0,4),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7)
[5,3,6,2,1,4,7]=>([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7)
[5,3,6,2,1,7,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7)
[5,3,6,2,4,1,7]=>([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,6,2,4,7,1]=>([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,6,2,7,1,4]=>([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7)
[5,3,6,2,7,4,1]=>([(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)
[5,3,6,4,1,2,7]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[5,3,6,4,1,7,2]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7)
[5,3,6,4,2,1,7]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,6,4,2,7,1]=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,6,4,7,1,2]=>([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7)
[5,3,6,4,7,2,1]=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,6,7,1,2,4]=>([(0,5),(1,5),(1,6),(2,3),(3,6),(5,4)],7)
[5,3,6,7,1,4,2]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(6,3)],7)
[5,3,6,7,2,1,4]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7)
[5,3,6,7,2,4,1]=>([(1,6),(2,5),(3,5),(3,6),(6,4)],7)
[5,3,6,7,4,1,2]=>([(0,6),(1,3),(2,4),(2,6),(6,5)],7)
[5,3,6,7,4,2,1]=>([(2,6),(3,4),(3,6),(6,5)],7)
[5,3,7,1,2,4,6]=>([(0,4),(0,6),(1,4),(1,5),(2,3),(3,6),(6,5)],7)
[5,3,7,1,2,6,4]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6)],7)
[5,3,7,1,4,2,6]=>([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(5,6)],7)
[5,3,7,1,4,6,2]=>([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(5,6)],7)
[5,3,7,1,6,2,4]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,5)],7)
[5,3,7,1,6,4,2]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)
[5,3,7,2,1,4,6]=>([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)
[5,3,7,2,1,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)
[5,3,7,2,4,1,6]=>([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)
[5,3,7,2,4,6,1]=>([(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)
[5,3,7,2,6,1,4]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)
[5,3,7,2,6,4,1]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)
[5,3,7,4,1,2,6]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(3,6),(4,6)],7)
[5,3,7,4,1,6,2]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(4,6)],7)
[5,3,7,4,2,1,6]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)
[5,3,7,4,2,6,1]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)
[5,3,7,4,6,1,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(4,6)],7)
[5,3,7,4,6,2,1]=>([(2,5),(2,6),(3,4),(3,5),(4,6)],7)
[5,3,7,6,1,2,4]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(3,6)],7)
[5,3,7,6,1,4,2]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6)],7)
[5,3,7,6,2,1,4]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)
[5,3,7,6,2,4,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)
[5,3,7,6,4,1,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)
[5,3,7,6,4,2,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[5,4,1,2,3,6,7]=>([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)
[5,4,1,2,3,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)
[5,4,1,2,6,3,7]=>([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)
[5,4,1,2,6,7,3]=>([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7)
[5,4,1,2,7,3,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)
[5,4,1,2,7,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)
[5,4,1,3,2,6,7]=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)
[5,4,1,3,2,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,1,3,6,2,7]=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)
[5,4,1,3,6,7,2]=>([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7)
[5,4,1,3,7,2,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[5,4,1,3,7,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)
[5,4,1,6,2,3,7]=>([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7)
[5,4,1,6,2,7,3]=>([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7)
[5,4,1,6,3,2,7]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[5,4,1,6,3,7,2]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)
[5,4,1,6,7,2,3]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7)
[5,4,1,6,7,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7)
[5,4,1,7,2,3,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)
[5,4,1,7,2,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)
[5,4,1,7,3,2,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)
[5,4,1,7,3,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)
[5,4,1,7,6,2,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)
[5,4,1,7,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[5,4,2,1,3,6,7]=>([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)
[5,4,2,1,3,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)
[5,4,2,1,6,3,7]=>([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)
[5,4,2,1,6,7,3]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)
[5,4,2,1,7,3,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)
[5,4,2,1,7,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[5,4,2,3,1,6,7]=>([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)
[5,4,2,3,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[5,4,2,3,6,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)
[5,4,2,3,6,7,1]=>([(1,6),(2,6),(3,4),(4,6),(6,5)],7)
[5,4,2,3,7,1,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[5,4,2,3,7,6,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[5,4,2,6,1,3,7]=>([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7)
[5,4,2,6,1,7,3]=>([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)
[5,4,2,6,3,1,7]=>([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,2,6,3,7,1]=>([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)
[5,4,2,6,7,1,3]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7)
[5,4,2,6,7,3,1]=>([(1,6),(2,6),(3,4),(3,6),(6,5)],7)
[5,4,2,7,1,3,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7)
[5,4,2,7,1,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)
[5,4,2,7,3,1,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)
[5,4,2,7,3,6,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)
[5,4,2,7,6,1,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)
[5,4,2,7,6,3,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[5,4,3,1,2,6,7]=>([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)
[5,4,3,1,2,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[5,4,3,1,6,2,7]=>([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)
[5,4,3,1,6,7,2]=>([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7)
[5,4,3,1,7,2,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)
[5,4,3,1,7,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[5,4,3,2,1,6,7]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)
[5,4,3,2,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,2,6,1,7]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)
[5,4,3,2,6,7,1]=>([(1,6),(2,6),(3,6),(4,6),(6,5)],7)
[5,4,3,2,7,1,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,2,7,6,1]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,6,1,2,7]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7)
[5,4,3,6,1,7,2]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7)
[5,4,3,6,2,1,7]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)
[5,4,3,6,2,7,1]=>([(1,6),(2,6),(3,6),(4,5),(6,5)],7)
[5,4,3,6,7,1,2]=>([(0,6),(1,6),(2,6),(3,4),(6,5)],7)
[5,4,3,6,7,2,1]=>([(2,6),(3,6),(4,6),(6,5)],7)
[5,4,3,7,1,2,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)
[5,4,3,7,1,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)
[5,4,3,7,2,1,6]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,7,2,6,1]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,7,6,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)
[5,4,3,7,6,2,1]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,6,1,2,3,7]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[5,4,6,1,2,7,3]=>([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7)
[5,4,6,1,3,2,7]=>([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,4,6,1,3,7,2]=>([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7)
[5,4,6,1,7,2,3]=>([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7)
[5,4,6,1,7,3,2]=>([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7)
[5,4,6,2,1,3,7]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[5,4,6,2,1,7,3]=>([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7)
[5,4,6,2,3,1,7]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[5,4,6,2,3,7,1]=>([(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[5,4,6,2,7,1,3]=>([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7)
[5,4,6,2,7,3,1]=>([(1,5),(2,5),(3,4),(3,6),(5,6)],7)
[5,4,6,3,1,2,7]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[5,4,6,3,1,7,2]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7)
[5,4,6,3,2,1,7]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[5,4,6,3,2,7,1]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[5,4,6,3,7,1,2]=>([(0,6),(1,5),(2,5),(3,4),(5,6)],7)
[5,4,6,3,7,2,1]=>([(2,6),(3,5),(4,5),(5,6)],7)
[5,4,6,7,1,2,3]=>([(0,6),(1,6),(2,3),(3,5),(6,4)],7)
[5,4,6,7,1,3,2]=>([(0,6),(1,6),(2,3),(2,4),(6,5)],7)
[5,4,6,7,2,1,3]=>([(0,6),(1,6),(2,5),(3,5),(6,4)],7)
[5,4,6,7,2,3,1]=>([(1,6),(2,6),(3,4),(6,5)],7)
[5,4,6,7,3,1,2]=>([(1,6),(2,6),(3,4),(6,5)],7)
[5,4,6,7,3,2,1]=>([(3,6),(4,6),(6,5)],7)
[5,4,7,1,2,3,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7)
[5,4,7,1,2,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7)
[5,4,7,1,3,2,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7)
[5,4,7,1,3,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7)
[5,4,7,1,6,2,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7)
[5,4,7,1,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)
[5,4,7,2,1,3,6]=>([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7)
[5,4,7,2,1,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7)
[5,4,7,2,3,1,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)
[5,4,7,2,3,6,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)
[5,4,7,2,6,1,3]=>([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7)
[5,4,7,2,6,3,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)
[5,4,7,3,1,2,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)
[5,4,7,3,1,6,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)
[5,4,7,3,2,1,6]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,7,3,2,6,1]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,7,3,6,1,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)
[5,4,7,3,6,2,1]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,7,6,1,2,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7)
[5,4,7,6,1,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7)
[5,4,7,6,2,1,3]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7)
[5,4,7,6,2,3,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)
[5,4,7,6,3,1,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)
[5,4,7,6,3,2,1]=>([(3,5),(3,6),(4,5),(4,6)],7)
[5,6,1,2,3,4,7]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,6,1,2,3,7,4]=>([(0,5),(1,3),(3,6),(4,2),(4,6),(5,4)],7)
[5,6,1,2,4,3,7]=>([(0,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)
[5,6,1,2,4,7,3]=>([(0,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)
[5,6,1,2,7,3,4]=>([(0,5),(1,3),(3,6),(4,2),(5,4),(5,6)],7)
[5,6,1,2,7,4,3]=>([(0,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)
[5,6,1,3,2,4,7]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,6),(5,6)],7)
[5,6,1,3,2,7,4]=>([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[5,6,1,3,4,2,7]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(4,6),(5,2)],7)
[5,6,1,3,4,7,2]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)
[5,6,1,3,7,2,4]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(3,6),(4,6)],7)
[5,6,1,3,7,4,2]=>([(0,4),(1,3),(1,5),(4,6),(5,2),(5,6)],7)
[5,6,1,4,2,3,7]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(4,6),(5,2)],7)
[5,6,1,4,2,7,3]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2),(5,6)],7)
[5,6,1,4,3,2,7]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,1,4,3,7,2]=>([(0,5),(1,2),(1,3),(1,4),(3,6),(4,6),(5,6)],7)
[5,6,1,4,7,2,3]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)
[5,6,1,4,7,3,2]=>([(0,5),(1,2),(1,3),(1,4),(4,6),(5,6)],7)
[5,6,1,7,2,3,4]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)
[5,6,1,7,2,4,3]=>([(0,4),(1,5),(1,6),(4,6),(5,2),(5,3)],7)
[5,6,1,7,3,2,4]=>([(0,4),(1,2),(1,3),(1,6),(2,5),(3,5),(4,6)],7)
[5,6,1,7,3,4,2]=>([(0,4),(1,3),(1,5),(1,6),(4,6),(5,2)],7)
[5,6,1,7,4,2,3]=>([(0,4),(1,3),(1,5),(1,6),(4,6),(5,2)],7)
[5,6,1,7,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7)
[5,6,2,1,3,4,7]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,6,2,1,3,7,4]=>([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7)
[5,6,2,1,4,3,7]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)
[5,6,2,1,4,7,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7)
[5,6,2,1,7,3,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7)
[5,6,2,1,7,4,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,6)],7)
[5,6,2,3,1,4,7]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,2,3,1,7,4]=>([(0,5),(0,6),(1,3),(2,4),(3,6),(4,5),(4,6)],7)
[5,6,2,3,4,1,7]=>([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7)
[5,6,2,3,4,7,1]=>([(1,3),(2,4),(3,5),(4,6),(5,6)],7)
[5,6,2,3,7,1,4]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(4,6)],7)
[5,6,2,3,7,4,1]=>([(1,3),(2,4),(3,6),(4,5),(4,6)],7)
[5,6,2,4,1,3,7]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[5,6,2,4,1,7,3]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(3,6),(4,6)],7)
[5,6,2,4,3,1,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,6,2,4,3,7,1]=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,6,2,4,7,1,3]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)
[5,6,2,4,7,3,1]=>([(1,5),(2,3),(2,4),(4,6),(5,6)],7)
[5,6,2,7,1,3,4]=>([(0,5),(1,5),(1,6),(2,3),(3,6),(5,4)],7)
[5,6,2,7,1,4,3]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(3,6)],7)
[5,6,2,7,3,1,4]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)
[5,6,2,7,3,4,1]=>([(1,4),(2,3),(2,6),(3,5),(4,6)],7)
[5,6,2,7,4,1,3]=>([(0,5),(1,4),(2,3),(2,5),(2,6),(4,6)],7)
[5,6,2,7,4,3,1]=>([(1,5),(2,3),(2,4),(2,6),(5,6)],7)
[5,6,3,1,2,4,7]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,3,1,2,7,4]=>([(0,5),(0,6),(1,3),(2,4),(3,6),(4,5),(4,6)],7)
[5,6,3,1,4,2,7]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[5,6,3,1,4,7,2]=>([(0,5),(1,4),(2,3),(2,5),(4,6),(5,6)],7)
[5,6,3,1,7,2,4]=>([(0,5),(0,6),(1,3),(2,4),(2,6),(3,6),(4,5)],7)
[5,6,3,1,7,4,2]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(2,6),(4,6)],7)
[5,6,3,2,1,4,7]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7)
[5,6,3,2,1,7,4]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)
[5,6,3,2,4,1,7]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[5,6,3,2,4,7,1]=>([(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[5,6,3,2,7,1,4]=>([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)
[5,6,3,2,7,4,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)
[5,6,3,4,1,2,7]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[5,6,3,4,1,7,2]=>([(0,5),(1,4),(2,3),(2,6),(4,6),(5,6)],7)
[5,6,3,4,2,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[5,6,3,4,2,7,1]=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[5,6,3,4,7,1,2]=>([(0,5),(1,4),(2,3),(4,6),(5,6)],7)
[5,6,3,4,7,2,1]=>([(2,5),(3,4),(4,6),(5,6)],7)
[5,6,3,7,1,2,4]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)
[5,6,3,7,1,4,2]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)
[5,6,3,7,2,1,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7)
[5,6,3,7,2,4,1]=>([(1,5),(2,5),(2,6),(3,4),(4,6)],7)
[5,6,3,7,4,1,2]=>([(0,3),(1,5),(2,4),(2,6),(5,6)],7)
[5,6,3,7,4,2,1]=>([(2,5),(3,4),(3,6),(5,6)],7)
[5,6,4,1,2,3,7]=>([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7)
[5,6,4,1,2,7,3]=>([(0,6),(1,3),(2,4),(3,6),(4,5),(4,6)],7)
[5,6,4,1,3,2,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,6,4,1,3,7,2]=>([(0,6),(1,5),(2,3),(2,4),(4,6),(5,6)],7)
[5,6,4,1,7,2,3]=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,6)],7)
[5,6,4,1,7,3,2]=>([(0,6),(1,5),(2,3),(2,4),(2,6),(5,6)],7)
[5,6,4,2,1,3,7]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[5,6,4,2,1,7,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)
[5,6,4,2,3,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[5,6,4,2,3,7,1]=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[5,6,4,2,7,1,3]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)
[5,6,4,2,7,3,1]=>([(1,6),(2,5),(3,4),(3,6),(5,6)],7)
[5,6,4,3,1,2,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[5,6,4,3,1,7,2]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)
[5,6,4,3,2,1,7]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[5,6,4,3,2,7,1]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[5,6,4,3,7,1,2]=>([(0,6),(1,6),(2,4),(3,5),(5,6)],7)
[5,6,4,3,7,2,1]=>([(2,6),(3,6),(4,5),(5,6)],7)
[5,6,4,7,1,2,3]=>([(0,6),(1,3),(2,4),(3,5),(4,6)],7)
[5,6,4,7,1,3,2]=>([(0,6),(1,5),(2,3),(2,4),(5,6)],7)
[5,6,4,7,2,1,3]=>([(0,6),(1,5),(2,5),(3,4),(4,6)],7)
[5,6,4,7,2,3,1]=>([(1,6),(2,4),(3,5),(5,6)],7)
[5,6,4,7,3,1,2]=>([(1,6),(2,4),(3,5),(5,6)],7)
[5,6,4,7,3,2,1]=>([(3,6),(4,5),(5,6)],7)
[5,6,7,1,2,3,4]=>([(0,5),(1,6),(4,3),(5,4),(6,2)],7)
[5,6,7,1,2,4,3]=>([(0,6),(1,5),(5,4),(6,2),(6,3)],7)
[5,6,7,1,3,2,4]=>([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2)],7)
[5,6,7,1,3,4,2]=>([(0,6),(1,4),(1,5),(5,3),(6,2)],7)
[5,6,7,1,4,2,3]=>([(0,6),(1,4),(1,5),(5,3),(6,2)],7)
[5,6,7,1,4,3,2]=>([(0,6),(1,3),(1,4),(1,5),(6,2)],7)
[5,6,7,2,1,3,4]=>([(0,6),(1,6),(2,3),(3,5),(6,4)],7)
[5,6,7,2,1,4,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7)
[5,6,7,2,3,1,4]=>([(0,6),(1,3),(2,4),(3,5),(4,6)],7)
[5,6,7,2,3,4,1]=>([(1,6),(2,5),(5,3),(6,4)],7)
[5,6,7,2,4,1,3]=>([(0,6),(1,4),(2,3),(2,6),(4,5)],7)
[5,6,7,2,4,3,1]=>([(1,6),(2,4),(2,5),(6,3)],7)
[5,6,7,3,1,2,4]=>([(0,6),(1,3),(2,4),(3,5),(4,6)],7)
[5,6,7,3,1,4,2]=>([(0,6),(1,4),(2,3),(2,6),(4,5)],7)
[5,6,7,3,2,1,4]=>([(0,6),(1,6),(2,6),(3,4),(4,5)],7)
[5,6,7,3,2,4,1]=>([(1,6),(2,6),(3,4),(4,5)],7)
[5,6,7,3,4,1,2]=>([(0,5),(1,4),(2,6),(6,3)],7)
[5,6,7,3,4,2,1]=>([(2,4),(3,5),(5,6)],7)
[5,6,7,4,1,2,3]=>([(1,6),(2,5),(5,3),(6,4)],7)
[5,6,7,4,1,3,2]=>([(1,6),(2,4),(2,5),(6,3)],7)
[5,6,7,4,2,1,3]=>([(1,6),(2,6),(3,4),(4,5)],7)
[5,6,7,4,2,3,1]=>([(2,4),(3,5),(5,6)],7)
[5,6,7,4,3,1,2]=>([(2,4),(3,5),(5,6)],7)
[5,6,7,4,3,2,1]=>([(4,5),(5,6)],7)
[5,7,1,2,3,4,6]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)
[5,7,1,2,3,6,4]=>([(0,5),(1,3),(1,6),(4,2),(4,6),(5,4)],7)
[5,7,1,2,4,3,6]=>([(0,5),(1,4),(1,6),(2,6),(3,6),(5,2),(5,3)],7)
[5,7,1,2,4,6,3]=>([(0,5),(1,4),(1,6),(3,6),(5,2),(5,3)],7)
[5,7,1,2,6,3,4]=>([(0,5),(1,3),(1,6),(4,2),(5,4),(5,6)],7)
[5,7,1,2,6,4,3]=>([(0,5),(1,4),(1,6),(5,2),(5,3),(5,6)],7)
[5,7,1,3,2,4,6]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(5,6)],7)
[5,7,1,3,2,6,4]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7)
[5,7,1,3,4,2,6]=>([(0,4),(0,6),(1,3),(1,5),(2,6),(3,6),(5,2)],7)
[5,7,1,3,4,6,2]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)
[5,7,1,3,6,2,4]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(3,6)],7)
[5,7,1,3,6,4,2]=>([(0,4),(0,6),(1,3),(1,5),(5,2),(5,6)],7)
[5,7,1,4,2,3,6]=>([(0,4),(0,6),(1,3),(1,5),(2,6),(3,6),(5,2)],7)
[5,7,1,4,2,6,3]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2),(5,6)],7)
[5,7,1,4,3,2,6]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6)],7)
[5,7,1,4,3,6,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,6)],7)
[5,7,1,4,6,2,3]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)
[5,7,1,4,6,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(4,6)],7)
[5,7,1,6,2,3,4]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)
[5,7,1,6,2,4,3]=>([(0,4),(0,6),(1,5),(1,6),(5,2),(5,3)],7)
[5,7,1,6,3,2,4]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(3,5)],7)
[5,7,1,6,3,4,2]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(5,2)],7)
[5,7,1,6,4,2,3]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(5,2)],7)
[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)
[5,7,2,1,3,4,6]=>([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7)
[5,7,2,1,3,6,4]=>([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7)
[5,7,2,1,4,3,6]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)
[5,7,2,1,4,6,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7)
[5,7,2,1,6,3,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7)
[5,7,2,1,6,4,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6)],7)
[5,7,2,3,1,4,6]=>([(0,6),(1,4),(2,3),(2,5),(4,6),(6,5)],7)
[5,7,2,3,1,6,4]=>([(0,5),(0,6),(1,4),(2,3),(2,6),(4,5),(4,6)],7)
[5,7,2,3,4,1,6]=>([(0,6),(1,4),(2,3),(2,6),(4,5),(5,6)],7)
[5,7,2,3,4,6,1]=>([(1,4),(2,3),(2,6),(4,5),(5,6)],7)
[5,7,2,3,6,1,4]=>([(0,6),(1,4),(2,3),(2,5),(4,5),(4,6)],7)
[5,7,2,3,6,4,1]=>([(1,4),(2,3),(2,6),(4,5),(4,6)],7)
[5,7,2,4,1,3,6]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7)
[5,7,2,4,1,6,3]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(4,6)],7)
[5,7,2,4,3,1,6]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7)
[5,7,2,4,3,6,1]=>([(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7)
[5,7,2,4,6,1,3]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)
[5,7,2,4,6,3,1]=>([(1,4),(1,6),(2,3),(2,5),(5,6)],7)
[5,7,2,6,1,3,4]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(6,3)],7)
[5,7,2,6,1,4,3]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6)],7)
[5,7,2,6,3,1,4]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)
[5,7,2,6,3,4,1]=>([(1,3),(1,6),(2,4),(2,6),(4,5)],7)
[5,7,2,6,4,1,3]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6)],7)
[5,7,2,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)
[5,7,3,1,2,4,6]=>([(0,6),(1,4),(2,3),(2,5),(4,6),(6,5)],7)
[5,7,3,1,2,6,4]=>([(0,5),(0,6),(1,4),(2,3),(2,6),(4,5),(4,6)],7)
[5,7,3,1,4,2,6]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7)
[5,7,3,1,4,6,2]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(5,6)],7)
[5,7,3,1,6,2,4]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,6),(4,5)],7)
[5,7,3,1,6,4,2]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6)],7)
[5,7,3,2,1,4,6]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7)
[5,7,3,2,1,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)
[5,7,3,2,4,1,6]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7)
[5,7,3,2,4,6,1]=>([(1,5),(2,5),(3,4),(3,6),(5,6)],7)
[5,7,3,2,6,1,4]=>([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)
[5,7,3,2,6,4,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)
[5,7,3,4,1,2,6]=>([(0,5),(1,4),(2,3),(2,6),(4,6),(5,6)],7)
[5,7,3,4,1,6,2]=>([(0,5),(1,4),(1,6),(2,3),(2,6),(5,6)],7)
[5,7,3,4,2,1,6]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)
[5,7,3,4,2,6,1]=>([(1,6),(2,5),(3,4),(3,6),(5,6)],7)
[5,7,3,4,6,1,2]=>([(0,3),(1,5),(2,4),(2,6),(5,6)],7)
[5,7,3,4,6,2,1]=>([(2,5),(3,4),(3,6),(5,6)],7)
[5,7,3,6,1,2,4]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)
[5,7,3,6,1,4,2]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)
[5,7,3,6,2,1,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)
[5,7,3,6,2,4,1]=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7)
[5,7,3,6,4,1,2]=>([(0,5),(1,4),(1,6),(2,3),(2,6)],7)
[5,7,3,6,4,2,1]=>([(2,5),(2,6),(3,4),(3,6)],7)
[5,7,4,1,2,3,6]=>([(0,6),(1,4),(2,3),(2,6),(4,5),(5,6)],7)
[5,7,4,1,2,6,3]=>([(0,6),(1,4),(2,3),(2,6),(4,5),(4,6)],7)
[5,7,4,1,3,2,6]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7)
[5,7,4,1,3,6,2]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(5,6)],7)
[5,7,4,1,6,2,3]=>([(0,6),(1,3),(1,6),(2,4),(2,6),(4,5)],7)
[5,7,4,1,6,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)
[5,7,4,2,1,3,6]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7)
[5,7,4,2,1,6,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)
[5,7,4,2,3,1,6]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)
[5,7,4,2,3,6,1]=>([(1,6),(2,5),(3,4),(3,6),(5,6)],7)
[5,7,4,2,6,1,3]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7)
[5,7,4,2,6,3,1]=>([(1,6),(2,5),(2,6),(3,4),(3,6)],7)
[5,7,4,3,1,2,6]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)
[5,7,4,3,1,6,2]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7)
[5,7,4,3,2,1,6]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)
[5,7,4,3,2,6,1]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)
[5,7,4,3,6,1,2]=>([(0,6),(1,6),(2,5),(3,4),(3,6)],7)
[5,7,4,3,6,2,1]=>([(2,6),(3,6),(4,5),(4,6)],7)
[5,7,4,6,1,2,3]=>([(0,6),(1,4),(2,3),(2,6),(4,5)],7)
[5,7,4,6,1,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7)
[5,7,4,6,2,1,3]=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7)
[5,7,4,6,2,3,1]=>([(1,6),(2,5),(3,4),(3,6)],7)
[5,7,4,6,3,1,2]=>([(1,6),(2,5),(3,4),(3,6)],7)
[5,7,4,6,3,2,1]=>([(3,6),(4,5),(4,6)],7)
[5,7,6,1,2,3,4]=>([(0,6),(1,3),(1,4),(5,2),(6,5)],7)
[5,7,6,1,2,4,3]=>([(0,6),(1,4),(1,5),(6,2),(6,3)],7)
[5,7,6,1,3,2,4]=>([(0,2),(0,3),(1,4),(1,5),(4,6),(5,6)],7)
[5,7,6,1,3,4,2]=>([(0,3),(0,4),(1,5),(1,6),(6,2)],7)
[5,7,6,1,4,2,3]=>([(0,3),(0,4),(1,5),(1,6),(6,2)],7)
[5,7,6,1,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4)],7)
[5,7,6,2,1,3,4]=>([(0,6),(1,6),(2,3),(2,4),(6,5)],7)
[5,7,6,2,1,4,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7)
[5,7,6,2,3,1,4]=>([(0,6),(1,5),(2,3),(2,4),(5,6)],7)
[5,7,6,2,3,4,1]=>([(1,6),(2,4),(2,5),(6,3)],7)
[5,7,6,2,4,1,3]=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7)
[5,7,6,2,4,3,1]=>([(1,5),(1,6),(2,3),(2,4)],7)
[5,7,6,3,1,2,4]=>([(0,6),(1,5),(2,3),(2,4),(5,6)],7)
[5,7,6,3,1,4,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7)
[5,7,6,3,2,1,4]=>([(0,6),(1,6),(2,6),(3,4),(3,5)],7)
[5,7,6,3,2,4,1]=>([(1,6),(2,6),(3,4),(3,5)],7)
[5,7,6,3,4,1,2]=>([(0,6),(1,5),(2,3),(2,4)],7)
[5,7,6,3,4,2,1]=>([(2,6),(3,4),(3,5)],7)
[5,7,6,4,1,2,3]=>([(1,6),(2,4),(2,5),(6,3)],7)
[5,7,6,4,1,3,2]=>([(1,5),(1,6),(2,3),(2,4)],7)
[5,7,6,4,2,1,3]=>([(1,6),(2,6),(3,4),(3,5)],7)
[5,7,6,4,2,3,1]=>([(2,6),(3,4),(3,5)],7)
[5,7,6,4,3,1,2]=>([(2,6),(3,4),(3,5)],7)
[5,7,6,4,3,2,1]=>([(4,5),(4,6)],7)
[6,1,2,3,4,5,7]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,1,2,3,4,7,5]=>([(0,6),(1,4),(3,5),(4,3),(5,2),(5,6)],7)
[6,1,2,3,5,4,7]=>([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)
[6,1,2,3,5,7,4]=>([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7)
[6,1,2,3,7,4,5]=>([(0,6),(1,4),(3,2),(4,5),(5,3),(5,6)],7)
[6,1,2,3,7,5,4]=>([(0,6),(1,4),(4,5),(5,2),(5,3),(5,6)],7)
[6,1,2,4,3,5,7]=>([(0,6),(1,4),(2,5),(3,5),(4,2),(4,3),(5,6)],7)
[6,1,2,4,3,7,5]=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)
[6,1,2,4,5,3,7]=>([(0,6),(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)
[6,1,2,4,5,7,3]=>([(0,6),(1,5),(3,6),(4,3),(5,2),(5,4)],7)
[6,1,2,4,7,3,5]=>([(0,6),(1,4),(2,5),(3,5),(3,6),(4,2),(4,3)],7)
[6,1,2,4,7,5,3]=>([(0,6),(1,5),(4,3),(4,6),(5,2),(5,4)],7)
[6,1,2,5,3,4,7]=>([(0,6),(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)
[6,1,2,5,3,7,4]=>([(0,6),(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7)
[6,1,2,5,4,3,7]=>([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)
[6,1,2,5,4,7,3]=>([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)
[6,1,2,5,7,3,4]=>([(0,6),(1,5),(3,6),(4,2),(5,3),(5,4)],7)
[6,1,2,5,7,4,3]=>([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7)
[6,1,2,7,3,4,5]=>([(0,6),(1,5),(3,4),(4,2),(5,3),(5,6)],7)
[6,1,2,7,3,5,4]=>([(0,6),(1,4),(4,5),(4,6),(5,2),(5,3)],7)
[6,1,2,7,4,3,5]=>([(0,6),(1,4),(2,5),(3,5),(4,2),(4,3),(4,6)],7)
[6,1,2,7,4,5,3]=>([(0,6),(1,5),(4,3),(5,2),(5,4),(5,6)],7)
[6,1,2,7,5,3,4]=>([(0,6),(1,5),(4,3),(5,2),(5,4),(5,6)],7)
[6,1,2,7,5,4,3]=>([(0,6),(1,5),(5,2),(5,3),(5,4),(5,6)],7)
[6,1,3,2,4,5,7]=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7)
[6,1,3,2,4,7,5]=>([(0,5),(1,3),(1,4),(3,6),(4,6),(6,2),(6,5)],7)
[6,1,3,2,5,4,7]=>([(0,6),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,1,3,2,5,7,4]=>([(0,2),(0,3),(1,4),(2,5),(2,6),(3,5),(3,6),(6,4)],7)
[6,1,3,2,7,4,5]=>([(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4)],7)
[6,1,3,2,7,5,4]=>([(0,6),(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[6,1,3,4,2,5,7]=>([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(5,6)],7)
[6,1,3,4,2,7,5]=>([(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)
[6,1,3,4,5,2,7]=>([(0,6),(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7)
[6,1,3,4,5,7,2]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)
[6,1,3,4,7,2,5]=>([(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(4,2)],7)
[6,1,3,4,7,5,2]=>([(0,6),(1,3),(1,4),(4,5),(5,2),(5,6)],7)
[6,1,3,5,2,4,7]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)
[6,1,3,5,2,7,4]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7)
[6,1,3,5,4,2,7]=>([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)
[6,1,3,5,4,7,2]=>([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)
[6,1,3,5,7,2,4]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7)
[6,1,3,5,7,4,2]=>([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7)
[6,1,3,7,2,4,5]=>([(0,5),(1,3),(1,4),(3,6),(4,5),(4,6),(6,2)],7)
[6,1,3,7,2,5,4]=>([(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[6,1,3,7,4,2,5]=>([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(4,6)],7)
[6,1,3,7,4,5,2]=>([(0,6),(1,3),(1,5),(4,2),(5,4),(5,6)],7)
[6,1,3,7,5,2,4]=>([(0,6),(1,3),(1,4),(3,5),(4,2),(4,5),(4,6)],7)
[6,1,3,7,5,4,2]=>([(0,6),(1,4),(1,5),(5,2),(5,3),(5,6)],7)
[6,1,4,2,3,5,7]=>([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(5,6)],7)
[6,1,4,2,3,7,5]=>([(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)
[6,1,4,2,5,3,7]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)
[6,1,4,2,5,7,3]=>([(0,6),(1,3),(1,4),(3,5),(4,2),(4,5),(5,6)],7)
[6,1,4,2,7,3,5]=>([(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)
[6,1,4,2,7,5,3]=>([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)
[6,1,4,3,2,5,7]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)
[6,1,4,3,2,7,5]=>([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,4,3,5,2,7]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)
[6,1,4,3,5,7,2]=>([(0,6),(1,2),(1,3),(1,4),(3,5),(4,5),(5,6)],7)
[6,1,4,3,7,2,5]=>([(0,6),(1,2),(1,3),(1,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,4,3,7,5,2]=>([(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,4,5,2,3,7]=>([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7)
[6,1,4,5,2,7,3]=>([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)
[6,1,4,5,3,2,7]=>([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)
[6,1,4,5,3,7,2]=>([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)
[6,1,4,5,7,2,3]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)
[6,1,4,5,7,3,2]=>([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7)
[6,1,4,7,2,3,5]=>([(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2)],7)
[6,1,4,7,2,5,3]=>([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5)],7)
[6,1,4,7,3,2,5]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],7)
[6,1,4,7,3,5,2]=>([(0,6),(1,2),(1,3),(1,4),(3,5),(4,5),(4,6)],7)
[6,1,4,7,5,2,3]=>([(0,6),(1,4),(1,5),(4,3),(5,2),(5,6)],7)
[6,1,4,7,5,3,2]=>([(0,6),(1,3),(1,4),(1,5),(5,2),(5,6)],7)
[6,1,5,2,3,4,7]=>([(0,6),(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7)
[6,1,5,2,3,7,4]=>([(0,6),(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7)
[6,1,5,2,4,3,7]=>([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)
[6,1,5,2,4,7,3]=>([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)
[6,1,5,2,7,3,4]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7)
[6,1,5,2,7,4,3]=>([(0,6),(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)
[6,1,5,3,2,4,7]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)
[6,1,5,3,2,7,4]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,5,3,4,2,7]=>([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)
[6,1,5,3,4,7,2]=>([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)
[6,1,5,3,7,2,4]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)
[6,1,5,3,7,4,2]=>([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)
[6,1,5,4,2,3,7]=>([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)
[6,1,5,4,2,7,3]=>([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)
[6,1,5,4,3,2,7]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)
[6,1,5,4,3,7,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)
[6,1,5,4,7,2,3]=>([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)
[6,1,5,4,7,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)
[6,1,5,7,2,3,4]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)
[6,1,5,7,2,4,3]=>([(0,6),(1,4),(1,5),(4,6),(5,2),(5,3)],7)
[6,1,5,7,3,2,4]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5)],7)
[6,1,5,7,3,4,2]=>([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7)
[6,1,5,7,4,2,3]=>([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7)
[6,1,5,7,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)
[6,1,7,2,3,4,5]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)
[6,1,7,2,3,5,4]=>([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7)
[6,1,7,2,4,3,5]=>([(0,6),(1,4),(1,6),(2,5),(3,5),(4,2),(4,3)],7)
[6,1,7,2,4,5,3]=>([(0,6),(1,5),(1,6),(4,3),(5,2),(5,4)],7)
[6,1,7,2,5,3,4]=>([(0,6),(1,5),(1,6),(4,3),(5,2),(5,4)],7)
[6,1,7,2,5,4,3]=>([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7)
[6,1,7,3,2,4,5]=>([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7)
[6,1,7,3,2,5,4]=>([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7)
[6,1,7,3,4,2,5]=>([(0,6),(1,3),(1,4),(1,6),(2,5),(3,5),(4,2)],7)
[6,1,7,3,4,5,2]=>([(0,6),(1,3),(1,5),(1,6),(4,2),(5,4)],7)
[6,1,7,3,5,2,4]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7)
[6,1,7,3,5,4,2]=>([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7)
[6,1,7,4,2,3,5]=>([(0,6),(1,3),(1,4),(1,6),(2,5),(3,5),(4,2)],7)
[6,1,7,4,2,5,3]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7)
[6,1,7,4,3,2,5]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)
[6,1,7,4,3,5,2]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7)
[6,1,7,4,5,2,3]=>([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7)
[6,1,7,4,5,3,2]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)
[6,1,7,5,2,3,4]=>([(0,6),(1,3),(1,5),(1,6),(4,2),(5,4)],7)
[6,1,7,5,2,4,3]=>([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7)
[6,1,7,5,3,2,4]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7)
[6,1,7,5,3,4,2]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)
[6,1,7,5,4,2,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)
[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)
[6,2,1,3,4,5,7]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,2,1,3,4,7,5]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7)
[6,2,1,3,5,4,7]=>([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)
[6,2,1,3,5,7,4]=>([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7)
[6,2,1,3,7,4,5]=>([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7)
[6,2,1,3,7,5,4]=>([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7)
[6,2,1,4,3,5,7]=>([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)
[6,2,1,4,3,7,5]=>([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,1,4,5,3,7]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)
[6,2,1,4,5,7,3]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7)
[6,2,1,4,7,3,5]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7)
[6,2,1,4,7,5,3]=>([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7)
[6,2,1,5,3,4,7]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)
[6,2,1,5,3,7,4]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7)
[6,2,1,5,4,3,7]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[6,2,1,5,4,7,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)
[6,2,1,5,7,3,4]=>([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)
[6,2,1,5,7,4,3]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)
[6,2,1,7,3,4,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7)
[6,2,1,7,3,5,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7)
[6,2,1,7,4,3,5]=>([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)
[6,2,1,7,4,5,3]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7)
[6,2,1,7,5,3,4]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7)
[6,2,1,7,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[6,2,3,1,4,5,7]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,2,3,1,4,7,5]=>([(0,6),(1,5),(2,3),(3,6),(6,4),(6,5)],7)
[6,2,3,1,5,4,7]=>([(0,6),(1,4),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7)
[6,2,3,1,5,7,4]=>([(0,4),(1,5),(1,6),(2,3),(3,5),(3,6),(6,4)],7)
[6,2,3,1,7,4,5]=>([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4)],7)
[6,2,3,1,7,5,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)
[6,2,3,4,1,5,7]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,3,4,1,7,5]=>([(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)
[6,2,3,4,5,1,7]=>([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)
[6,2,3,4,5,7,1]=>([(1,3),(2,6),(3,5),(4,6),(5,4)],7)
[6,2,3,4,7,1,5]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(4,6)],7)
[6,2,3,4,7,5,1]=>([(1,3),(2,6),(3,5),(5,4),(5,6)],7)
[6,2,3,5,1,4,7]=>([(0,6),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7)
[6,2,3,5,1,7,4]=>([(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(4,6)],7)
[6,2,3,5,4,1,7]=>([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,2,3,5,4,7,1]=>([(1,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,2,3,5,7,1,4]=>([(0,6),(1,5),(2,3),(3,4),(3,6),(4,5)],7)
[6,2,3,5,7,4,1]=>([(1,3),(2,6),(3,4),(3,5),(5,6)],7)
[6,2,3,7,1,4,5]=>([(0,6),(1,5),(2,4),(4,5),(4,6),(6,3)],7)
[6,2,3,7,1,5,4]=>([(0,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)
[6,2,3,7,4,1,5]=>([(0,6),(1,5),(2,3),(3,4),(3,6),(4,5)],7)
[6,2,3,7,4,5,1]=>([(1,3),(2,6),(3,5),(3,6),(5,4)],7)
[6,2,3,7,5,1,4]=>([(0,6),(1,5),(2,3),(3,4),(3,5),(3,6)],7)
[6,2,3,7,5,4,1]=>([(1,3),(2,6),(3,4),(3,5),(3,6)],7)
[6,2,4,1,3,5,7]=>([(0,4),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)
[6,2,4,1,3,7,5]=>([(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,4,1,5,3,7]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
[6,2,4,1,5,7,3]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(3,6),(6,5)],7)
[6,2,4,1,7,3,5]=>([(0,6),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5)],7)
[6,2,4,1,7,5,3]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)
[6,2,4,3,1,5,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)
[6,2,4,3,1,7,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,4,3,5,1,7]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[6,2,4,3,5,7,1]=>([(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)
[6,2,4,3,7,1,5]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,4,3,7,5,1]=>([(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,4,5,1,3,7]=>([(0,6),(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,4,5,1,7,3]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)
[6,2,4,5,3,1,7]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
[6,2,4,5,3,7,1]=>([(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
[6,2,4,5,7,1,3]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)
[6,2,4,5,7,3,1]=>([(1,6),(2,3),(2,4),(4,5),(5,6)],7)
[6,2,4,7,1,3,5]=>([(0,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)
[6,2,4,7,1,5,3]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6)],7)
[6,2,4,7,3,1,5]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[6,2,4,7,3,5,1]=>([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[6,2,4,7,5,1,3]=>([(0,6),(1,5),(2,3),(2,5),(3,4),(3,6)],7)
[6,2,4,7,5,3,1]=>([(1,6),(2,3),(2,4),(4,5),(4,6)],7)
[6,2,5,1,3,4,7]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)
[6,2,5,1,3,7,4]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)
[6,2,5,1,4,3,7]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[6,2,5,1,4,7,3]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7)
[6,2,5,1,7,3,4]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)
[6,2,5,1,7,4,3]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)
[6,2,5,3,1,4,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,5),(5,6)],7)
[6,2,5,3,1,7,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[6,2,5,3,4,1,7]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
[6,2,5,3,4,7,1]=>([(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
[6,2,5,3,7,1,4]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[6,2,5,3,7,4,1]=>([(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[6,2,5,4,1,3,7]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[6,2,5,4,1,7,3]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)
[6,2,5,4,3,1,7]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[6,2,5,4,3,7,1]=>([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[6,2,5,4,7,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)
[6,2,5,4,7,3,1]=>([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)
[6,2,5,7,1,3,4]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(5,4)],7)
[6,2,5,7,1,4,3]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6)],7)
[6,2,5,7,3,1,4]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,2,5,7,3,4,1]=>([(1,6),(2,3),(2,4),(3,5),(4,6)],7)
[6,2,5,7,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(4,6)],7)
[6,2,5,7,4,3,1]=>([(1,6),(2,3),(2,4),(2,5),(5,6)],7)
[6,2,7,1,3,4,5]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7)
[6,2,7,1,3,5,4]=>([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7)
[6,2,7,1,4,3,5]=>([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)
[6,2,7,1,4,5,3]=>([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)
[6,2,7,1,5,3,4]=>([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)
[6,2,7,1,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)
[6,2,7,3,1,4,5]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(6,4)],7)
[6,2,7,3,1,5,4]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)
[6,2,7,3,4,1,5]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)
[6,2,7,3,4,5,1]=>([(1,6),(2,3),(2,6),(3,5),(5,4)],7)
[6,2,7,3,5,1,4]=>([(0,6),(1,5),(2,3),(2,5),(3,4),(3,6)],7)
[6,2,7,3,5,4,1]=>([(1,6),(2,3),(2,6),(3,4),(3,5)],7)
[6,2,7,4,1,3,5]=>([(0,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7)
[6,2,7,4,1,5,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)
[6,2,7,4,3,1,5]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)
[6,2,7,4,3,5,1]=>([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)
[6,2,7,4,5,1,3]=>([(0,6),(1,5),(2,3),(2,5),(2,6),(3,4)],7)
[6,2,7,4,5,3,1]=>([(1,6),(2,3),(2,4),(2,6),(4,5)],7)
[6,2,7,5,1,3,4]=>([(0,6),(1,5),(2,4),(2,5),(2,6),(6,3)],7)
[6,2,7,5,1,4,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[6,2,7,5,3,1,4]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(4,6)],7)
[6,2,7,5,3,4,1]=>([(1,6),(2,3),(2,4),(2,6),(4,5)],7)
[6,2,7,5,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7)
[6,2,7,5,4,3,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[6,3,1,2,4,5,7]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,3,1,2,4,7,5]=>([(0,6),(1,5),(2,3),(3,6),(6,4),(6,5)],7)
[6,3,1,2,5,4,7]=>([(0,6),(1,4),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,1,2,5,7,4]=>([(0,4),(1,5),(1,6),(2,3),(3,5),(3,6),(6,4)],7)
[6,3,1,2,7,4,5]=>([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4)],7)
[6,3,1,2,7,5,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)
[6,3,1,4,2,5,7]=>([(0,4),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)
[6,3,1,4,2,7,5]=>([(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,1,4,5,2,7]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)
[6,3,1,4,5,7,2]=>([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7)
[6,3,1,4,7,2,5]=>([(0,5),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[6,3,1,4,7,5,2]=>([(0,6),(1,5),(2,4),(2,6),(6,3),(6,5)],7)
[6,3,1,5,2,4,7]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
[6,3,1,5,2,7,4]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)
[6,3,1,5,4,2,7]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[6,3,1,5,4,7,2]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)
[6,3,1,5,7,2,4]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5)],7)
[6,3,1,5,7,4,2]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(5,6)],7)
[6,3,1,7,2,4,5]=>([(0,6),(1,5),(1,6),(2,3),(2,6),(3,5),(5,4)],7)
[6,3,1,7,2,5,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7)
[6,3,1,7,4,2,5]=>([(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)
[6,3,1,7,4,5,2]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4)],7)
[6,3,1,7,5,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5)],7)
[6,3,1,7,5,4,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[6,3,2,1,4,5,7]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7)
[6,3,2,1,4,7,5]=>([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7)
[6,3,2,1,5,4,7]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,2,1,5,7,4]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)
[6,3,2,1,7,4,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)
[6,3,2,1,7,5,4]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[6,3,2,4,1,5,7]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,3,2,4,1,7,5]=>([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)
[6,3,2,4,5,1,7]=>([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)
[6,3,2,4,5,7,1]=>([(1,6),(2,5),(3,5),(4,6),(5,4)],7)
[6,3,2,4,7,1,5]=>([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7)
[6,3,2,4,7,5,1]=>([(1,6),(2,6),(3,5),(6,4),(6,5)],7)
[6,3,2,5,1,4,7]=>([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,2,5,1,7,4]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7)
[6,3,2,5,4,1,7]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,2,5,4,7,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,2,5,7,1,4]=>([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)
[6,3,2,5,7,4,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
[6,3,2,7,1,4,5]=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7)
[6,3,2,7,1,5,4]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[6,3,2,7,4,1,5]=>([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)
[6,3,2,7,4,5,1]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)
[6,3,2,7,5,1,4]=>([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[6,3,2,7,5,4,1]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[6,3,4,1,2,5,7]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,4,1,2,7,5]=>([(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,4,1,5,2,7]=>([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)
[6,3,4,1,5,7,2]=>([(0,5),(1,4),(2,3),(2,6),(4,6),(6,5)],7)
[6,3,4,1,7,2,5]=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(4,6)],7)
[6,3,4,1,7,5,2]=>([(0,6),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)
[6,3,4,2,1,5,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)
[6,3,4,2,1,7,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[6,3,4,2,5,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)
[6,3,4,2,5,7,1]=>([(1,6),(2,5),(3,4),(4,6),(6,5)],7)
[6,3,4,2,7,1,5]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[6,3,4,2,7,5,1]=>([(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[6,3,4,5,1,2,7]=>([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7)
[6,3,4,5,1,7,2]=>([(0,6),(1,4),(2,3),(2,6),(4,5),(5,6)],7)
[6,3,4,5,2,1,7]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[6,3,4,5,2,7,1]=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[6,3,4,5,7,1,2]=>([(0,6),(1,3),(2,4),(4,5),(5,6)],7)
[6,3,4,5,7,2,1]=>([(2,6),(3,4),(4,5),(5,6)],7)
[6,3,4,7,1,2,5]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(4,6)],7)
[6,3,4,7,1,5,2]=>([(0,6),(1,4),(2,3),(2,5),(4,5),(4,6)],7)
[6,3,4,7,2,1,5]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7)
[6,3,4,7,2,5,1]=>([(1,6),(2,5),(3,4),(4,5),(4,6)],7)
[6,3,4,7,5,1,2]=>([(0,6),(1,3),(2,4),(4,5),(4,6)],7)
[6,3,4,7,5,2,1]=>([(2,6),(3,4),(4,5),(4,6)],7)
[6,3,5,1,2,4,7]=>([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)
[6,3,5,1,2,7,4]=>([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
[6,3,5,1,4,2,7]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)
[6,3,5,1,4,7,2]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7)
[6,3,5,1,7,2,4]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)
[6,3,5,1,7,4,2]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7)
[6,3,5,2,1,4,7]=>([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,5,2,1,7,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)
[6,3,5,2,4,1,7]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,5,2,4,7,1]=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,5,2,7,1,4]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7)
[6,3,5,2,7,4,1]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)
[6,3,5,4,1,2,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[6,3,5,4,1,7,2]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7)
[6,3,5,4,2,1,7]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,5,4,2,7,1]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,5,4,7,1,2]=>([(0,6),(1,3),(2,4),(2,5),(4,6),(5,6)],7)
[6,3,5,4,7,2,1]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,5,7,1,2,4]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)
[6,3,5,7,1,4,2]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)
[6,3,5,7,2,1,4]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7)
[6,3,5,7,2,4,1]=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
[6,3,5,7,4,1,2]=>([(0,6),(1,4),(2,3),(2,5),(5,6)],7)
[6,3,5,7,4,2,1]=>([(2,6),(3,4),(3,5),(5,6)],7)
[6,3,7,1,2,4,5]=>([(0,5),(1,5),(1,6),(2,3),(3,6),(6,4)],7)
[6,3,7,1,2,5,4]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6)],7)
[6,3,7,1,4,2,5]=>([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(5,6)],7)
[6,3,7,1,4,5,2]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(6,3)],7)
[6,3,7,1,5,2,4]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6)],7)
[6,3,7,1,5,4,2]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)
[6,3,7,2,1,4,5]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7)
[6,3,7,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)
[6,3,7,2,4,1,5]=>([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7)
[6,3,7,2,4,5,1]=>([(1,6),(2,5),(3,5),(3,6),(6,4)],7)
[6,3,7,2,5,1,4]=>([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[6,3,7,2,5,4,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)
[6,3,7,4,1,2,5]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)
[6,3,7,4,1,5,2]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)
[6,3,7,4,2,1,5]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7)
[6,3,7,4,2,5,1]=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
[6,3,7,4,5,1,2]=>([(0,6),(1,3),(2,4),(2,6),(4,5)],7)
[6,3,7,4,5,2,1]=>([(2,6),(3,4),(3,6),(4,5)],7)
[6,3,7,5,1,2,4]=>([(0,5),(1,4),(2,3),(2,5),(2,6),(4,6)],7)
[6,3,7,5,1,4,2]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6)],7)
[6,3,7,5,2,1,4]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)
[6,3,7,5,2,4,1]=>([(1,6),(2,5),(3,4),(3,5),(3,6)],7)
[6,3,7,5,4,1,2]=>([(0,6),(1,5),(2,3),(2,4),(2,6)],7)
[6,3,7,5,4,2,1]=>([(2,6),(3,4),(3,5),(3,6)],7)
[6,4,1,2,3,5,7]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,1,2,3,7,5]=>([(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)
[6,4,1,2,5,3,7]=>([(0,6),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7)
[6,4,1,2,5,7,3]=>([(0,6),(1,5),(2,3),(3,4),(3,6),(6,5)],7)
[6,4,1,2,7,3,5]=>([(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)
[6,4,1,2,7,5,3]=>([(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)
[6,4,1,3,2,5,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)
[6,4,1,3,2,7,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,1,3,5,2,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,5),(5,6)],7)
[6,4,1,3,5,7,2]=>([(0,6),(1,5),(2,3),(2,4),(4,6),(6,5)],7)
[6,4,1,3,7,2,5]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[6,4,1,3,7,5,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)
[6,4,1,5,2,3,7]=>([(0,6),(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,1,5,2,7,3]=>([(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)
[6,4,1,5,3,2,7]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[6,4,1,5,3,7,2]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)
[6,4,1,5,7,2,3]=>([(0,6),(1,5),(2,3),(2,5),(3,4),(5,6)],7)
[6,4,1,5,7,3,2]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(5,6)],7)
[6,4,1,7,2,3,5]=>([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(4,5)],7)
[6,4,1,7,2,5,3]=>([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7)
[6,4,1,7,3,2,5]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)
[6,4,1,7,3,5,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(4,5)],7)
[6,4,1,7,5,2,3]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)
[6,4,1,7,5,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[6,4,2,1,3,5,7]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,4,2,1,3,7,5]=>([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)
[6,4,2,1,5,3,7]=>([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,4,2,1,5,7,3]=>([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7)
[6,4,2,1,7,3,5]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)
[6,4,2,1,7,5,3]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[6,4,2,3,1,5,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)
[6,4,2,3,1,7,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[6,4,2,3,5,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)
[6,4,2,3,5,7,1]=>([(1,6),(2,5),(3,4),(4,6),(6,5)],7)
[6,4,2,3,7,1,5]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[6,4,2,3,7,5,1]=>([(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[6,4,2,5,1,3,7]=>([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
[6,4,2,5,1,7,3]=>([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)
[6,4,2,5,3,1,7]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,4,2,5,3,7,1]=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,4,2,5,7,1,3]=>([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7)
[6,4,2,5,7,3,1]=>([(1,6),(2,5),(3,4),(3,5),(5,6)],7)
[6,4,2,7,1,3,5]=>([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7)
[6,4,2,7,1,5,3]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)
[6,4,2,7,3,1,5]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7)
[6,4,2,7,3,5,1]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
[6,4,2,7,5,1,3]=>([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[6,4,2,7,5,3,1]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[6,4,3,1,2,5,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)
[6,4,3,1,2,7,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[6,4,3,1,5,2,7]=>([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,4,3,1,5,7,2]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7)
[6,4,3,1,7,2,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
[6,4,3,1,7,5,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[6,4,3,2,1,5,7]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)
[6,4,3,2,1,7,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,2,5,1,7]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)
[6,4,3,2,5,7,1]=>([(1,6),(2,6),(3,6),(4,5),(6,5)],7)
[6,4,3,2,7,1,5]=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,2,7,5,1]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,5,1,2,7]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,3,5,1,7,2]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7)
[6,4,3,5,2,1,7]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,4,3,5,2,7,1]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,4,3,5,7,1,2]=>([(0,6),(1,5),(2,5),(3,4),(5,6)],7)
[6,4,3,5,7,2,1]=>([(2,6),(3,5),(4,5),(5,6)],7)
[6,4,3,7,1,2,5]=>([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)
[6,4,3,7,1,5,2]=>([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)
[6,4,3,7,2,1,5]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,7,2,5,1]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,7,5,1,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)
[6,4,3,7,5,2,1]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,5,1,2,3,7]=>([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7)
[6,4,5,1,2,7,3]=>([(0,6),(1,3),(2,4),(3,6),(4,5),(4,6)],7)
[6,4,5,1,3,2,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[6,4,5,1,3,7,2]=>([(0,6),(1,5),(2,3),(2,4),(4,6),(5,6)],7)
[6,4,5,1,7,2,3]=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,6)],7)
[6,4,5,1,7,3,2]=>([(0,6),(1,5),(2,3),(2,4),(2,6),(5,6)],7)
[6,4,5,2,1,3,7]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,5,2,1,7,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)
[6,4,5,2,3,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,5,2,3,7,1]=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,5,2,7,1,3]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)
[6,4,5,2,7,3,1]=>([(1,6),(2,5),(3,4),(3,6),(5,6)],7)
[6,4,5,3,1,2,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,5,3,1,7,2]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)
[6,4,5,3,2,1,7]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,4,5,3,2,7,1]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,4,5,3,7,1,2]=>([(0,6),(1,6),(2,4),(3,5),(5,6)],7)
[6,4,5,3,7,2,1]=>([(2,6),(3,6),(4,5),(5,6)],7)
[6,4,5,7,1,2,3]=>([(0,6),(1,3),(2,4),(3,5),(4,6)],7)
[6,4,5,7,1,3,2]=>([(0,6),(1,5),(2,3),(2,4),(5,6)],7)
[6,4,5,7,2,1,3]=>([(0,6),(1,5),(2,5),(3,4),(4,6)],7)
[6,4,5,7,2,3,1]=>([(1,6),(2,4),(3,5),(5,6)],7)
[6,4,5,7,3,1,2]=>([(1,6),(2,4),(3,5),(5,6)],7)
[6,4,5,7,3,2,1]=>([(3,6),(4,5),(5,6)],7)
[6,4,7,1,2,3,5]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)
[6,4,7,1,2,5,3]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(3,6)],7)
[6,4,7,1,3,2,5]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7)
[6,4,7,1,3,5,2]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)
[6,4,7,1,5,2,3]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)
[6,4,7,1,5,3,2]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7)
[6,4,7,2,1,3,5]=>([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7)
[6,4,7,2,1,5,3]=>([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7)
[6,4,7,2,3,1,5]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)
[6,4,7,2,3,5,1]=>([(1,5),(2,5),(2,6),(3,4),(4,6)],7)
[6,4,7,2,5,1,3]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)
[6,4,7,2,5,3,1]=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7)
[6,4,7,3,1,2,5]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)
[6,4,7,3,1,5,2]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7)
[6,4,7,3,2,1,5]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7)
[6,4,7,3,2,5,1]=>([(1,6),(2,6),(3,5),(4,5),(4,6)],7)
[6,4,7,3,5,1,2]=>([(0,6),(1,5),(2,5),(2,6),(3,4)],7)
[6,4,7,3,5,2,1]=>([(2,6),(3,5),(4,5),(4,6)],7)
[6,4,7,5,1,2,3]=>([(0,6),(1,4),(2,3),(2,6),(4,5)],7)
[6,4,7,5,1,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7)
[6,4,7,5,2,1,3]=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7)
[6,4,7,5,2,3,1]=>([(1,6),(2,5),(3,4),(3,6)],7)
[6,4,7,5,3,1,2]=>([(1,6),(2,5),(3,4),(3,6)],7)
[6,4,7,5,3,2,1]=>([(3,6),(4,5),(4,6)],7)
[6,5,1,2,3,4,7]=>([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)
[6,5,1,2,3,7,4]=>([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7)
[6,5,1,2,4,3,7]=>([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,5,1,2,4,7,3]=>([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7)
[6,5,1,2,7,3,4]=>([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7)
[6,5,1,2,7,4,3]=>([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7)
[6,5,1,3,2,4,7]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[6,5,1,3,2,7,4]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,5,1,3,4,2,7]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
[6,5,1,3,4,7,2]=>([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7)
[6,5,1,3,7,2,4]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7)
[6,5,1,3,7,4,2]=>([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7)
[6,5,1,4,2,3,7]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
[6,5,1,4,2,7,3]=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[6,5,1,4,3,2,7]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[6,5,1,4,3,7,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)
[6,5,1,4,7,2,3]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7)
[6,5,1,4,7,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)
[6,5,1,7,2,3,4]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7)
[6,5,1,7,2,4,3]=>([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7)
[6,5,1,7,3,2,4]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)
[6,5,1,7,3,4,2]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7)
[6,5,1,7,4,2,3]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7)
[6,5,1,7,4,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[6,5,2,1,3,4,7]=>([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)
[6,5,2,1,3,7,4]=>([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7)
[6,5,2,1,4,3,7]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,5,2,1,4,7,3]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
[6,5,2,1,7,3,4]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)
[6,5,2,1,7,4,3]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[6,5,2,3,1,4,7]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)
[6,5,2,3,1,7,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[6,5,2,3,4,1,7]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[6,5,2,3,4,7,1]=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[6,5,2,3,7,1,4]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7)
[6,5,2,3,7,4,1]=>([(1,6),(2,6),(3,4),(4,5),(4,6)],7)
[6,5,2,4,1,3,7]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,5,2,4,1,7,3]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)
[6,5,2,4,3,1,7]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,5,2,4,3,7,1]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,5,2,4,7,1,3]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7)
[6,5,2,4,7,3,1]=>([(1,6),(2,6),(3,4),(3,5),(5,6)],7)
[6,5,2,7,1,3,4]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7)
[6,5,2,7,1,4,3]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)
[6,5,2,7,3,1,4]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7)
[6,5,2,7,3,4,1]=>([(1,6),(2,6),(3,4),(3,6),(4,5)],7)
[6,5,2,7,4,1,3]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)
[6,5,2,7,4,3,1]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)
[6,5,3,1,2,4,7]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)
[6,5,3,1,2,7,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[6,5,3,1,4,2,7]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,5,3,1,4,7,2]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7)
[6,5,3,1,7,2,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
[6,5,3,1,7,4,2]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[6,5,3,2,1,4,7]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)
[6,5,3,2,1,7,4]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,5,3,2,4,1,7]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,5,3,2,4,7,1]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,5,3,2,7,1,4]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,5,3,2,7,4,1]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,5,3,4,1,2,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[6,5,3,4,1,7,2]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)
[6,5,3,4,2,1,7]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,5,3,4,2,7,1]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,5,3,4,7,1,2]=>([(0,6),(1,6),(2,4),(3,5),(5,6)],7)
[6,5,3,4,7,2,1]=>([(2,6),(3,6),(4,5),(5,6)],7)
[6,5,3,7,1,2,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7)
[6,5,3,7,1,4,2]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)
[6,5,3,7,2,1,4]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[6,5,3,7,2,4,1]=>([(1,6),(2,6),(3,5),(4,5),(4,6)],7)
[6,5,3,7,4,1,2]=>([(0,6),(1,6),(2,5),(3,4),(3,6)],7)
[6,5,3,7,4,2,1]=>([(2,6),(3,6),(4,5),(4,6)],7)
[6,5,4,1,2,3,7]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[6,5,4,1,2,7,3]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7)
[6,5,4,1,3,2,7]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,5,4,1,3,7,2]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)
[6,5,4,1,7,2,3]=>([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7)
[6,5,4,1,7,3,2]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)
[6,5,4,2,1,3,7]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,5,4,2,1,7,3]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,5,4,2,3,1,7]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,5,4,2,3,7,1]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,5,4,2,7,1,3]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7)
[6,5,4,2,7,3,1]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)
[6,5,4,3,1,2,7]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,5,4,3,1,7,2]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)
[6,5,4,3,2,1,7]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,4,3,2,7,1]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,4,3,7,1,2]=>([(0,6),(1,6),(2,6),(3,6),(4,5)],7)
[6,5,4,3,7,2,1]=>([(2,6),(3,6),(4,6),(5,6)],7)
[6,5,4,7,1,2,3]=>([(0,6),(1,6),(2,6),(3,4),(4,5)],7)
[6,5,4,7,1,3,2]=>([(0,6),(1,6),(2,6),(3,4),(3,5)],7)
[6,5,4,7,2,1,3]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[6,5,4,7,2,3,1]=>([(1,6),(2,6),(3,6),(4,5)],7)
[6,5,4,7,3,1,2]=>([(1,6),(2,6),(3,6),(4,5)],7)
[6,5,4,7,3,2,1]=>([(3,6),(4,6),(5,6)],7)
[6,5,7,1,2,3,4]=>([(0,3),(1,6),(2,6),(3,5),(5,4)],7)
[6,5,7,1,2,4,3]=>([(0,3),(1,6),(2,6),(3,4),(3,5)],7)
[6,5,7,1,3,2,4]=>([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7)
[6,5,7,1,3,4,2]=>([(0,6),(1,6),(2,3),(2,4),(4,5)],7)
[6,5,7,1,4,2,3]=>([(0,6),(1,6),(2,3),(2,4),(4,5)],7)
[6,5,7,1,4,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5)],7)
[6,5,7,2,1,3,4]=>([(0,6),(1,6),(2,5),(3,5),(6,4)],7)
[6,5,7,2,1,4,3]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7)
[6,5,7,2,3,1,4]=>([(0,6),(1,5),(2,5),(3,4),(4,6)],7)
[6,5,7,2,3,4,1]=>([(1,6),(2,6),(3,4),(4,5)],7)
[6,5,7,2,4,1,3]=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7)
[6,5,7,2,4,3,1]=>([(1,6),(2,6),(3,4),(3,5)],7)
[6,5,7,3,1,2,4]=>([(0,6),(1,5),(2,5),(3,4),(4,6)],7)
[6,5,7,3,1,4,2]=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7)
[6,5,7,3,2,1,4]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[6,5,7,3,2,4,1]=>([(1,6),(2,6),(3,5),(4,5)],7)
[6,5,7,3,4,1,2]=>([(0,6),(1,6),(2,5),(3,4)],7)
[6,5,7,3,4,2,1]=>([(2,6),(3,6),(4,5)],7)
[6,5,7,4,1,2,3]=>([(1,6),(2,6),(3,4),(4,5)],7)
[6,5,7,4,1,3,2]=>([(1,6),(2,6),(3,4),(3,5)],7)
[6,5,7,4,2,1,3]=>([(1,6),(2,6),(3,5),(4,5)],7)
[6,5,7,4,2,3,1]=>([(2,6),(3,6),(4,5)],7)
[6,5,7,4,3,1,2]=>([(2,6),(3,6),(4,5)],7)
[6,5,7,4,3,2,1]=>([(4,6),(5,6)],7)
[6,7,1,2,3,4,5]=>([(0,6),(1,3),(4,5),(5,2),(6,4)],7)
[6,7,1,2,3,5,4]=>([(0,4),(1,5),(5,6),(6,2),(6,3)],7)
[6,7,1,2,4,3,5]=>([(0,4),(1,5),(2,6),(3,6),(5,2),(5,3)],7)
[6,7,1,2,4,5,3]=>([(0,4),(1,6),(5,3),(6,2),(6,5)],7)
[6,7,1,2,5,3,4]=>([(0,4),(1,6),(5,3),(6,2),(6,5)],7)
[6,7,1,2,5,4,3]=>([(0,5),(1,6),(6,2),(6,3),(6,4)],7)
[6,7,1,3,2,4,5]=>([(0,5),(1,2),(1,3),(2,6),(3,6),(6,4)],7)
[6,7,1,3,2,5,4]=>([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7)
[6,7,1,3,4,2,5]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(5,2)],7)
[6,7,1,3,4,5,2]=>([(0,4),(1,3),(1,6),(5,2),(6,5)],7)
[6,7,1,3,5,2,4]=>([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7)
[6,7,1,3,5,4,2]=>([(0,5),(1,4),(1,6),(6,2),(6,3)],7)
[6,7,1,4,2,3,5]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(5,2)],7)
[6,7,1,4,2,5,3]=>([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7)
[6,7,1,4,3,2,5]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6)],7)
[6,7,1,4,3,5,2]=>([(0,5),(1,2),(1,3),(1,4),(3,6),(4,6)],7)
[6,7,1,4,5,2,3]=>([(0,4),(1,5),(1,6),(5,3),(6,2)],7)
[6,7,1,4,5,3,2]=>([(0,5),(1,3),(1,4),(1,6),(6,2)],7)
[6,7,1,5,2,3,4]=>([(0,4),(1,3),(1,6),(5,2),(6,5)],7)
[6,7,1,5,2,4,3]=>([(0,5),(1,4),(1,6),(6,2),(6,3)],7)
[6,7,1,5,3,2,4]=>([(0,5),(1,2),(1,3),(1,4),(3,6),(4,6)],7)
[6,7,1,5,3,4,2]=>([(0,5),(1,3),(1,4),(1,6),(6,2)],7)
[6,7,1,5,4,2,3]=>([(0,5),(1,3),(1,4),(1,6),(6,2)],7)
[6,7,1,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)
[6,7,2,1,3,4,5]=>([(0,6),(1,6),(2,3),(4,5),(6,4)],7)
[6,7,2,1,3,5,4]=>([(0,6),(1,6),(2,3),(6,4),(6,5)],7)
[6,7,2,1,4,3,5]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7)
[6,7,2,1,4,5,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7)
[6,7,2,1,5,3,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7)
[6,7,2,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3)],7)
[6,7,2,3,1,4,5]=>([(0,6),(1,3),(2,4),(4,6),(6,5)],7)
[6,7,2,3,1,5,4]=>([(0,5),(0,6),(1,3),(2,4),(4,5),(4,6)],7)
[6,7,2,3,4,1,5]=>([(0,6),(1,3),(2,4),(4,5),(5,6)],7)
[6,7,2,3,4,5,1]=>([(1,6),(2,4),(5,3),(6,5)],7)
[6,7,2,3,5,1,4]=>([(0,6),(1,3),(2,4),(4,5),(4,6)],7)
[6,7,2,3,5,4,1]=>([(1,5),(2,6),(6,3),(6,4)],7)
[6,7,2,4,1,3,5]=>([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7)
[6,7,2,4,1,5,3]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(4,6)],7)
[6,7,2,4,3,1,5]=>([(0,6),(1,3),(2,4),(2,5),(4,6),(5,6)],7)
[6,7,2,4,3,5,1]=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7)
[6,7,2,4,5,1,3]=>([(0,6),(1,3),(2,4),(2,6),(4,5)],7)
[6,7,2,4,5,3,1]=>([(1,5),(2,4),(2,6),(6,3)],7)
[6,7,2,5,1,3,4]=>([(0,6),(1,3),(2,4),(2,6),(6,5)],7)
[6,7,2,5,1,4,3]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)
[6,7,2,5,3,1,4]=>([(0,6),(1,4),(2,3),(2,5),(5,6)],7)
[6,7,2,5,3,4,1]=>([(1,5),(2,4),(2,6),(6,3)],7)
[6,7,2,5,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,6)],7)
[6,7,2,5,4,3,1]=>([(1,6),(2,3),(2,4),(2,5)],7)
[6,7,3,1,2,4,5]=>([(0,6),(1,3),(2,4),(4,6),(6,5)],7)
[6,7,3,1,2,5,4]=>([(0,5),(0,6),(1,3),(2,4),(4,5),(4,6)],7)
[6,7,3,1,4,2,5]=>([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7)
[6,7,3,1,4,5,2]=>([(0,6),(1,3),(2,4),(2,6),(6,5)],7)
[6,7,3,1,5,2,4]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(4,6)],7)
[6,7,3,1,5,4,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)
[6,7,3,2,1,4,5]=>([(0,6),(1,6),(2,6),(3,4),(6,5)],7)
[6,7,3,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)
[6,7,3,2,4,1,5]=>([(0,6),(1,5),(2,5),(3,4),(5,6)],7)
[6,7,3,2,4,5,1]=>([(1,6),(2,6),(3,4),(6,5)],7)
[6,7,3,2,5,1,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)
[6,7,3,2,5,4,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)
[6,7,3,4,1,2,5]=>([(0,5),(1,4),(2,3),(4,6),(5,6)],7)
[6,7,3,4,1,5,2]=>([(0,3),(1,5),(2,4),(2,6),(5,6)],7)
[6,7,3,4,2,1,5]=>([(0,6),(1,6),(2,4),(3,5),(5,6)],7)
[6,7,3,4,2,5,1]=>([(1,6),(2,4),(3,5),(5,6)],7)
[6,7,3,4,5,1,2]=>([(0,5),(1,4),(2,6),(6,3)],7)
[6,7,3,4,5,2,1]=>([(2,4),(3,5),(5,6)],7)
[6,7,3,5,1,2,4]=>([(0,3),(1,5),(2,4),(2,6),(5,6)],7)
[6,7,3,5,1,4,2]=>([(0,5),(1,4),(1,6),(2,3),(2,6)],7)
[6,7,3,5,2,1,4]=>([(0,6),(1,6),(2,5),(3,4),(3,6)],7)
[6,7,3,5,2,4,1]=>([(1,6),(2,5),(3,4),(3,6)],7)
[6,7,3,5,4,1,2]=>([(0,6),(1,5),(2,3),(2,4)],7)
[6,7,3,5,4,2,1]=>([(2,6),(3,4),(3,5)],7)
[6,7,4,1,2,3,5]=>([(0,6),(1,3),(2,4),(4,5),(5,6)],7)
[6,7,4,1,2,5,3]=>([(0,6),(1,3),(2,4),(4,5),(4,6)],7)
[6,7,4,1,3,2,5]=>([(0,6),(1,3),(2,4),(2,5),(4,6),(5,6)],7)
[6,7,4,1,3,5,2]=>([(0,6),(1,4),(2,3),(2,5),(5,6)],7)
[6,7,4,1,5,2,3]=>([(0,6),(1,3),(2,4),(2,6),(4,5)],7)
[6,7,4,1,5,3,2]=>([(0,6),(1,5),(2,3),(2,4),(2,6)],7)
[6,7,4,2,1,3,5]=>([(0,6),(1,5),(2,5),(3,4),(5,6)],7)
[6,7,4,2,1,5,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)
[6,7,4,2,3,1,5]=>([(0,6),(1,6),(2,4),(3,5),(5,6)],7)
[6,7,4,2,3,5,1]=>([(1,6),(2,4),(3,5),(5,6)],7)
[6,7,4,2,5,1,3]=>([(0,6),(1,5),(2,5),(2,6),(3,4)],7)
[6,7,4,2,5,3,1]=>([(1,6),(2,5),(3,4),(3,6)],7)
[6,7,4,3,1,2,5]=>([(0,6),(1,6),(2,4),(3,5),(5,6)],7)
[6,7,4,3,1,5,2]=>([(0,6),(1,6),(2,5),(3,4),(3,6)],7)
[6,7,4,3,2,1,5]=>([(0,6),(1,6),(2,6),(3,6),(4,5)],7)
[6,7,4,3,2,5,1]=>([(1,6),(2,6),(3,6),(4,5)],7)
[6,7,4,3,5,1,2]=>([(0,6),(1,6),(2,5),(3,4)],7)
[6,7,4,3,5,2,1]=>([(2,6),(3,6),(4,5)],7)
[6,7,4,5,1,2,3]=>([(0,5),(1,4),(2,6),(6,3)],7)
[6,7,4,5,1,3,2]=>([(0,6),(1,5),(2,3),(2,4)],7)
[6,7,4,5,2,1,3]=>([(0,6),(1,6),(2,5),(3,4)],7)
[6,7,4,5,2,3,1]=>([(1,6),(2,5),(3,4)],7)
[6,7,4,5,3,1,2]=>([(1,6),(2,5),(3,4)],7)
[6,7,4,5,3,2,1]=>([(3,6),(4,5)],7)
[6,7,5,1,2,3,4]=>([(1,6),(2,4),(5,3),(6,5)],7)
[6,7,5,1,2,4,3]=>([(1,5),(2,6),(6,3),(6,4)],7)
[6,7,5,1,3,2,4]=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7)
[6,7,5,1,3,4,2]=>([(1,5),(2,4),(2,6),(6,3)],7)
[6,7,5,1,4,2,3]=>([(1,5),(2,4),(2,6),(6,3)],7)
[6,7,5,1,4,3,2]=>([(1,6),(2,3),(2,4),(2,5)],7)
[6,7,5,2,1,3,4]=>([(1,6),(2,6),(3,4),(6,5)],7)
[6,7,5,2,1,4,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)
[6,7,5,2,3,1,4]=>([(1,6),(2,4),(3,5),(5,6)],7)
[6,7,5,2,3,4,1]=>([(2,4),(3,5),(5,6)],7)
[6,7,5,2,4,1,3]=>([(1,6),(2,5),(3,4),(3,6)],7)
[6,7,5,2,4,3,1]=>([(2,6),(3,4),(3,5)],7)
[6,7,5,3,1,2,4]=>([(1,6),(2,4),(3,5),(5,6)],7)
[6,7,5,3,1,4,2]=>([(1,6),(2,5),(3,4),(3,6)],7)
[6,7,5,3,2,1,4]=>([(1,6),(2,6),(3,6),(4,5)],7)
[6,7,5,3,2,4,1]=>([(2,6),(3,6),(4,5)],7)
[6,7,5,3,4,1,2]=>([(1,6),(2,5),(3,4)],7)
[6,7,5,3,4,2,1]=>([(3,6),(4,5)],7)
[6,7,5,4,1,2,3]=>([(2,4),(3,5),(5,6)],7)
[6,7,5,4,1,3,2]=>([(2,6),(3,4),(3,5)],7)
[6,7,5,4,2,1,3]=>([(2,6),(3,6),(4,5)],7)
[6,7,5,4,2,3,1]=>([(3,6),(4,5)],7)
[6,7,5,4,3,1,2]=>([(3,6),(4,5)],7)
[6,7,5,4,3,2,1]=>([(5,6)],7)
[7,1,2,3,4,5,6]=>([(1,6),(3,5),(4,3),(5,2),(6,4)],7)
[7,1,2,3,4,6,5]=>([(1,5),(4,6),(5,4),(6,2),(6,3)],7)
[7,1,2,3,5,4,6]=>([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)
[7,1,2,3,5,6,4]=>([(1,5),(4,3),(5,6),(6,2),(6,4)],7)
[7,1,2,3,6,4,5]=>([(1,5),(4,3),(5,6),(6,2),(6,4)],7)
[7,1,2,3,6,5,4]=>([(1,5),(5,6),(6,2),(6,3),(6,4)],7)
[7,1,2,4,3,5,6]=>([(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7)
[7,1,2,4,3,6,5]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)
[7,1,2,4,5,3,6]=>([(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)
[7,1,2,4,5,6,3]=>([(1,6),(4,5),(5,3),(6,2),(6,4)],7)
[7,1,2,4,6,3,5]=>([(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7)
[7,1,2,4,6,5,3]=>([(1,6),(5,3),(5,4),(6,2),(6,5)],7)
[7,1,2,5,3,4,6]=>([(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)
[7,1,2,5,3,6,4]=>([(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7)
[7,1,2,5,4,3,6]=>([(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)
[7,1,2,5,4,6,3]=>([(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)
[7,1,2,5,6,3,4]=>([(1,6),(4,3),(5,2),(6,4),(6,5)],7)
[7,1,2,5,6,4,3]=>([(1,6),(5,4),(6,2),(6,3),(6,5)],7)
[7,1,2,6,3,4,5]=>([(1,6),(4,5),(5,3),(6,2),(6,4)],7)
[7,1,2,6,3,5,4]=>([(1,6),(5,3),(5,4),(6,2),(6,5)],7)
[7,1,2,6,4,3,5]=>([(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)
[7,1,2,6,4,5,3]=>([(1,6),(5,4),(6,2),(6,3),(6,5)],7)
[7,1,2,6,5,3,4]=>([(1,6),(5,4),(6,2),(6,3),(6,5)],7)
[7,1,2,6,5,4,3]=>([(1,6),(6,2),(6,3),(6,4),(6,5)],7)
[7,1,3,2,4,5,6]=>([(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7)
[7,1,3,2,4,6,5]=>([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)
[7,1,3,2,5,4,6]=>([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)
[7,1,3,2,5,6,4]=>([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)
[7,1,3,2,6,4,5]=>([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)
[7,1,3,2,6,5,4]=>([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[7,1,3,4,2,5,6]=>([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)
[7,1,3,4,2,6,5]=>([(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)
[7,1,3,4,5,2,6]=>([(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7)
[7,1,3,4,5,6,2]=>([(1,3),(1,6),(4,5),(5,2),(6,4)],7)
[7,1,3,4,6,2,5]=>([(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7)
[7,1,3,4,6,5,2]=>([(1,4),(1,5),(5,6),(6,2),(6,3)],7)
[7,1,3,5,2,4,6]=>([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)
[7,1,3,5,2,6,4]=>([(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)
[7,1,3,5,4,2,6]=>([(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)
[7,1,3,5,4,6,2]=>([(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)
[7,1,3,5,6,2,4]=>([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7)
[7,1,3,5,6,4,2]=>([(1,4),(1,6),(5,3),(6,2),(6,5)],7)
[7,1,3,6,2,4,5]=>([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)
[7,1,3,6,2,5,4]=>([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)
[7,1,3,6,4,2,5]=>([(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)
[7,1,3,6,4,5,2]=>([(1,4),(1,6),(5,3),(6,2),(6,5)],7)
[7,1,3,6,5,2,4]=>([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)
[7,1,3,6,5,4,2]=>([(1,5),(1,6),(6,2),(6,3),(6,4)],7)
[7,1,4,2,3,5,6]=>([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)
[7,1,4,2,3,6,5]=>([(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)
[7,1,4,2,5,3,6]=>([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)
[7,1,4,2,5,6,3]=>([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)
[7,1,4,2,6,3,5]=>([(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)
[7,1,4,2,6,5,3]=>([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)
[7,1,4,3,2,5,6]=>([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)
[7,1,4,3,2,6,5]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,1,4,3,5,2,6]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)
[7,1,4,3,5,6,2]=>([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)
[7,1,4,3,6,2,5]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,1,4,3,6,5,2]=>([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,1,4,5,2,3,6]=>([(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7)
[7,1,4,5,2,6,3]=>([(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)
[7,1,4,5,3,2,6]=>([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)
[7,1,4,5,3,6,2]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)
[7,1,4,5,6,2,3]=>([(1,5),(1,6),(4,3),(5,4),(6,2)],7)
[7,1,4,5,6,3,2]=>([(1,3),(1,4),(1,6),(5,2),(6,5)],7)
[7,1,4,6,2,3,5]=>([(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)
[7,1,4,6,2,5,3]=>([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7)
[7,1,4,6,3,2,5]=>([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)
[7,1,4,6,3,5,2]=>([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)
[7,1,4,6,5,2,3]=>([(1,5),(1,6),(5,4),(6,2),(6,3)],7)
[7,1,4,6,5,3,2]=>([(1,4),(1,5),(1,6),(6,2),(6,3)],7)
[7,1,5,2,3,4,6]=>([(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7)
[7,1,5,2,3,6,4]=>([(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7)
[7,1,5,2,4,3,6]=>([(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)
[7,1,5,2,4,6,3]=>([(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)
[7,1,5,2,6,3,4]=>([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7)
[7,1,5,2,6,4,3]=>([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)
[7,1,5,3,2,4,6]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)
[7,1,5,3,2,6,4]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,1,5,3,4,2,6]=>([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)
[7,1,5,3,4,6,2]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)
[7,1,5,3,6,2,4]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)
[7,1,5,3,6,4,2]=>([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)
[7,1,5,4,2,3,6]=>([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)
[7,1,5,4,2,6,3]=>([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)
[7,1,5,4,3,2,6]=>([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,5,4,3,6,2]=>([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)
[7,1,5,4,6,2,3]=>([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)
[7,1,5,4,6,3,2]=>([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)
[7,1,5,6,2,3,4]=>([(1,5),(1,6),(4,3),(5,4),(6,2)],7)
[7,1,5,6,2,4,3]=>([(1,5),(1,6),(5,4),(6,2),(6,3)],7)
[7,1,5,6,3,2,4]=>([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)
[7,1,5,6,3,4,2]=>([(1,4),(1,5),(1,6),(5,3),(6,2)],7)
[7,1,5,6,4,2,3]=>([(1,4),(1,5),(1,6),(5,3),(6,2)],7)
[7,1,5,6,4,3,2]=>([(1,3),(1,4),(1,5),(1,6),(6,2)],7)
[7,1,6,2,3,4,5]=>([(1,3),(1,6),(4,5),(5,2),(6,4)],7)
[7,1,6,2,3,5,4]=>([(1,4),(1,5),(5,6),(6,2),(6,3)],7)
[7,1,6,2,4,3,5]=>([(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)
[7,1,6,2,4,5,3]=>([(1,4),(1,6),(5,3),(6,2),(6,5)],7)
[7,1,6,2,5,3,4]=>([(1,4),(1,6),(5,3),(6,2),(6,5)],7)
[7,1,6,2,5,4,3]=>([(1,5),(1,6),(6,2),(6,3),(6,4)],7)
[7,1,6,3,2,4,5]=>([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)
[7,1,6,3,2,5,4]=>([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,1,6,3,4,2,5]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)
[7,1,6,3,4,5,2]=>([(1,3),(1,4),(1,6),(5,2),(6,5)],7)
[7,1,6,3,5,2,4]=>([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)
[7,1,6,3,5,4,2]=>([(1,4),(1,5),(1,6),(6,2),(6,3)],7)
[7,1,6,4,2,3,5]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)
[7,1,6,4,2,5,3]=>([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)
[7,1,6,4,3,2,5]=>([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)
[7,1,6,4,3,5,2]=>([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)
[7,1,6,4,5,2,3]=>([(1,4),(1,5),(1,6),(5,3),(6,2)],7)
[7,1,6,4,5,3,2]=>([(1,3),(1,4),(1,5),(1,6),(6,2)],7)
[7,1,6,5,2,3,4]=>([(1,3),(1,4),(1,6),(5,2),(6,5)],7)
[7,1,6,5,2,4,3]=>([(1,4),(1,5),(1,6),(6,2),(6,3)],7)
[7,1,6,5,3,2,4]=>([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)
[7,1,6,5,3,4,2]=>([(1,3),(1,4),(1,5),(1,6),(6,2)],7)
[7,1,6,5,4,2,3]=>([(1,3),(1,4),(1,5),(1,6),(6,2)],7)
[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)
[7,2,1,3,4,5,6]=>([(1,6),(2,6),(3,5),(5,4),(6,3)],7)
[7,2,1,3,4,6,5]=>([(1,6),(2,6),(3,4),(3,5),(6,3)],7)
[7,2,1,3,5,4,6]=>([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)
[7,2,1,3,5,6,4]=>([(1,6),(2,6),(4,5),(6,3),(6,4)],7)
[7,2,1,3,6,4,5]=>([(1,6),(2,6),(4,5),(6,3),(6,4)],7)
[7,2,1,3,6,5,4]=>([(1,6),(2,6),(6,3),(6,4),(6,5)],7)
[7,2,1,4,3,5,6]=>([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)
[7,2,1,4,3,6,5]=>([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)
[7,2,1,4,5,3,6]=>([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)
[7,2,1,4,5,6,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)
[7,2,1,4,6,3,5]=>([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)
[7,2,1,4,6,5,3]=>([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)
[7,2,1,5,3,4,6]=>([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)
[7,2,1,5,3,6,4]=>([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)
[7,2,1,5,4,3,6]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[7,2,1,5,4,6,3]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)
[7,2,1,5,6,3,4]=>([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)
[7,2,1,5,6,4,3]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)
[7,2,1,6,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)
[7,2,1,6,3,5,4]=>([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)
[7,2,1,6,4,3,5]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)
[7,2,1,6,4,5,3]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)
[7,2,1,6,5,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)
[7,2,1,6,5,4,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[7,2,3,1,4,5,6]=>([(1,6),(2,3),(3,6),(4,5),(6,4)],7)
[7,2,3,1,4,6,5]=>([(1,6),(2,3),(3,6),(6,4),(6,5)],7)
[7,2,3,1,5,4,6]=>([(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)
[7,2,3,1,5,6,4]=>([(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)
[7,2,3,1,6,4,5]=>([(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)
[7,2,3,1,6,5,4]=>([(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)
[7,2,3,4,1,5,6]=>([(1,6),(2,3),(3,5),(5,6),(6,4)],7)
[7,2,3,4,1,6,5]=>([(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)
[7,2,3,4,5,1,6]=>([(1,3),(2,6),(3,5),(4,6),(5,4)],7)
[7,2,3,4,5,6,1]=>([(2,6),(4,5),(5,3),(6,4)],7)
[7,2,3,4,6,1,5]=>([(1,3),(2,6),(3,5),(5,4),(5,6)],7)
[7,2,3,4,6,5,1]=>([(2,5),(5,6),(6,3),(6,4)],7)
[7,2,3,5,1,4,6]=>([(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)
[7,2,3,5,1,6,4]=>([(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)
[7,2,3,5,4,1,6]=>([(1,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,3,5,4,6,1]=>([(2,3),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,3,5,6,1,4]=>([(1,3),(2,6),(3,5),(3,6),(5,4)],7)
[7,2,3,5,6,4,1]=>([(2,6),(5,4),(6,3),(6,5)],7)
[7,2,3,6,1,4,5]=>([(1,6),(2,3),(3,5),(3,6),(6,4)],7)
[7,2,3,6,1,5,4]=>([(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)
[7,2,3,6,4,1,5]=>([(1,3),(2,6),(3,4),(3,5),(5,6)],7)
[7,2,3,6,4,5,1]=>([(2,6),(5,4),(6,3),(6,5)],7)
[7,2,3,6,5,1,4]=>([(1,3),(2,6),(3,4),(3,5),(3,6)],7)
[7,2,3,6,5,4,1]=>([(2,6),(6,3),(6,4),(6,5)],7)
[7,2,4,1,3,5,6]=>([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)
[7,2,4,1,3,6,5]=>([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,4,1,5,3,6]=>([(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)
[7,2,4,1,5,6,3]=>([(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)
[7,2,4,1,6,3,5]=>([(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)
[7,2,4,1,6,5,3]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)
[7,2,4,3,1,5,6]=>([(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)
[7,2,4,3,1,6,5]=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,4,3,5,1,6]=>([(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)
[7,2,4,3,5,6,1]=>([(2,3),(2,4),(3,6),(4,6),(6,5)],7)
[7,2,4,3,6,1,5]=>([(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,4,3,6,5,1]=>([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,4,5,1,3,6]=>([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,4,5,1,6,3]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)
[7,2,4,5,3,1,6]=>([(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
[7,2,4,5,3,6,1]=>([(2,3),(2,4),(3,5),(4,6),(5,6)],7)
[7,2,4,5,6,1,3]=>([(1,6),(2,3),(2,6),(3,5),(5,4)],7)
[7,2,4,5,6,3,1]=>([(2,4),(2,6),(5,3),(6,5)],7)
[7,2,4,6,1,3,5]=>([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)
[7,2,4,6,1,5,3]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)
[7,2,4,6,3,1,5]=>([(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[7,2,4,6,3,5,1]=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[7,2,4,6,5,1,3]=>([(1,6),(2,3),(2,6),(3,4),(3,5)],7)
[7,2,4,6,5,3,1]=>([(2,5),(2,6),(6,3),(6,4)],7)
[7,2,5,1,3,4,6]=>([(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)
[7,2,5,1,3,6,4]=>([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)
[7,2,5,1,4,3,6]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[7,2,5,1,4,6,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7)
[7,2,5,1,6,3,4]=>([(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)
[7,2,5,1,6,4,3]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)
[7,2,5,3,1,4,6]=>([(1,5),(2,3),(2,4),(3,6),(4,5),(5,6)],7)
[7,2,5,3,1,6,4]=>([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[7,2,5,3,4,1,6]=>([(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
[7,2,5,3,4,6,1]=>([(2,3),(2,4),(3,5),(4,6),(5,6)],7)
[7,2,5,3,6,1,4]=>([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[7,2,5,3,6,4,1]=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[7,2,5,4,1,3,6]=>([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[7,2,5,4,1,6,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)
[7,2,5,4,3,1,6]=>([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[7,2,5,4,3,6,1]=>([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[7,2,5,4,6,1,3]=>([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)
[7,2,5,4,6,3,1]=>([(2,3),(2,4),(2,5),(4,6),(5,6)],7)
[7,2,5,6,1,3,4]=>([(1,6),(2,3),(2,6),(3,5),(6,4)],7)
[7,2,5,6,1,4,3]=>([(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)
[7,2,5,6,3,1,4]=>([(1,6),(2,3),(2,4),(3,5),(4,6)],7)
[7,2,5,6,3,4,1]=>([(2,5),(2,6),(5,4),(6,3)],7)
[7,2,5,6,4,1,3]=>([(1,6),(2,3),(2,4),(2,6),(4,5)],7)
[7,2,5,6,4,3,1]=>([(2,4),(2,5),(2,6),(6,3)],7)
[7,2,6,1,3,4,5]=>([(1,6),(2,3),(2,6),(4,5),(6,4)],7)
[7,2,6,1,3,5,4]=>([(1,6),(2,3),(2,6),(6,4),(6,5)],7)
[7,2,6,1,4,3,5]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)
[7,2,6,1,4,5,3]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)
[7,2,6,1,5,3,4]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)
[7,2,6,1,5,4,3]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[7,2,6,3,1,4,5]=>([(1,6),(2,3),(2,4),(4,6),(6,5)],7)
[7,2,6,3,1,5,4]=>([(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)
[7,2,6,3,4,1,5]=>([(1,6),(2,3),(2,4),(4,5),(5,6)],7)
[7,2,6,3,4,5,1]=>([(2,4),(2,6),(5,3),(6,5)],7)
[7,2,6,3,5,1,4]=>([(1,6),(2,3),(2,4),(4,5),(4,6)],7)
[7,2,6,3,5,4,1]=>([(2,5),(2,6),(6,3),(6,4)],7)
[7,2,6,4,1,3,5]=>([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)
[7,2,6,4,1,5,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)
[7,2,6,4,3,1,5]=>([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)
[7,2,6,4,3,5,1]=>([(2,3),(2,4),(2,5),(4,6),(5,6)],7)
[7,2,6,4,5,1,3]=>([(1,6),(2,3),(2,4),(2,6),(4,5)],7)
[7,2,6,4,5,3,1]=>([(2,4),(2,5),(2,6),(6,3)],7)
[7,2,6,5,1,3,4]=>([(1,6),(2,3),(2,4),(2,6),(6,5)],7)
[7,2,6,5,1,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[7,2,6,5,3,1,4]=>([(1,6),(2,3),(2,4),(2,5),(5,6)],7)
[7,2,6,5,3,4,1]=>([(2,4),(2,5),(2,6),(6,3)],7)
[7,2,6,5,4,1,3]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[7,2,6,5,4,3,1]=>([(2,3),(2,4),(2,5),(2,6)],7)
[7,3,1,2,4,5,6]=>([(1,6),(2,3),(3,6),(4,5),(6,4)],7)
[7,3,1,2,4,6,5]=>([(1,6),(2,3),(3,6),(6,4),(6,5)],7)
[7,3,1,2,5,4,6]=>([(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)
[7,3,1,2,5,6,4]=>([(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)
[7,3,1,2,6,4,5]=>([(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)
[7,3,1,2,6,5,4]=>([(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)
[7,3,1,4,2,5,6]=>([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)
[7,3,1,4,2,6,5]=>([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,1,4,5,2,6]=>([(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)
[7,3,1,4,5,6,2]=>([(1,6),(2,3),(2,6),(4,5),(6,4)],7)
[7,3,1,4,6,2,5]=>([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)
[7,3,1,4,6,5,2]=>([(1,6),(2,3),(2,6),(6,4),(6,5)],7)
[7,3,1,5,2,4,6]=>([(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)
[7,3,1,5,2,6,4]=>([(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)
[7,3,1,5,4,2,6]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[7,3,1,5,4,6,2]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)
[7,3,1,5,6,2,4]=>([(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)
[7,3,1,5,6,4,2]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)
[7,3,1,6,2,4,5]=>([(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)
[7,3,1,6,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)
[7,3,1,6,4,2,5]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7)
[7,3,1,6,4,5,2]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)
[7,3,1,6,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)
[7,3,1,6,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[7,3,2,1,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(6,4)],7)
[7,3,2,1,4,6,5]=>([(1,6),(2,6),(3,6),(6,4),(6,5)],7)
[7,3,2,1,5,4,6]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)
[7,3,2,1,5,6,4]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)
[7,3,2,1,6,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)
[7,3,2,1,6,5,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[7,3,2,4,1,5,6]=>([(1,6),(2,5),(3,5),(5,6),(6,4)],7)
[7,3,2,4,1,6,5]=>([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,2,4,5,1,6]=>([(1,6),(2,5),(3,5),(4,6),(5,4)],7)
[7,3,2,4,5,6,1]=>([(2,6),(3,6),(4,5),(6,4)],7)
[7,3,2,4,6,1,5]=>([(1,6),(2,6),(3,5),(6,4),(6,5)],7)
[7,3,2,4,6,5,1]=>([(2,6),(3,6),(6,4),(6,5)],7)
[7,3,2,5,1,4,6]=>([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)
[7,3,2,5,1,6,4]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)
[7,3,2,5,4,1,6]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,2,5,4,6,1]=>([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,2,5,6,1,4]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)
[7,3,2,5,6,4,1]=>([(2,5),(2,6),(3,5),(3,6),(6,4)],7)
[7,3,2,6,1,4,5]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)
[7,3,2,6,1,5,4]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[7,3,2,6,4,1,5]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
[7,3,2,6,4,5,1]=>([(2,5),(2,6),(3,5),(3,6),(6,4)],7)
[7,3,2,6,5,1,4]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[7,3,2,6,5,4,1]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[7,3,4,1,2,5,6]=>([(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[7,3,4,1,2,6,5]=>([(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,4,1,5,2,6]=>([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)
[7,3,4,1,5,6,2]=>([(1,4),(2,3),(2,6),(4,6),(6,5)],7)
[7,3,4,1,6,2,5]=>([(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
[7,3,4,1,6,5,2]=>([(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)
[7,3,4,2,1,5,6]=>([(1,6),(2,6),(3,4),(4,6),(6,5)],7)
[7,3,4,2,1,6,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[7,3,4,2,5,1,6]=>([(1,6),(2,5),(3,4),(4,6),(6,5)],7)
[7,3,4,2,5,6,1]=>([(2,6),(3,4),(4,6),(6,5)],7)
[7,3,4,2,6,1,5]=>([(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[7,3,4,2,6,5,1]=>([(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[7,3,4,5,1,2,6]=>([(1,3),(2,4),(3,5),(4,6),(5,6)],7)
[7,3,4,5,1,6,2]=>([(1,4),(2,3),(2,6),(4,5),(5,6)],7)
[7,3,4,5,2,1,6]=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[7,3,4,5,2,6,1]=>([(2,6),(3,4),(4,5),(5,6)],7)
[7,3,4,5,6,1,2]=>([(1,6),(2,4),(5,3),(6,5)],7)
[7,3,4,5,6,2,1]=>([(3,4),(4,6),(6,5)],7)
[7,3,4,6,1,2,5]=>([(1,3),(2,4),(3,6),(4,5),(4,6)],7)
[7,3,4,6,1,5,2]=>([(1,4),(2,3),(2,6),(4,5),(4,6)],7)
[7,3,4,6,2,1,5]=>([(1,6),(2,6),(3,4),(4,5),(4,6)],7)
[7,3,4,6,2,5,1]=>([(2,6),(3,4),(4,5),(4,6)],7)
[7,3,4,6,5,1,2]=>([(1,5),(2,6),(6,3),(6,4)],7)
[7,3,4,6,5,2,1]=>([(3,4),(4,5),(4,6)],7)
[7,3,5,1,2,4,6]=>([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)
[7,3,5,1,2,6,4]=>([(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
[7,3,5,1,4,2,6]=>([(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)
[7,3,5,1,4,6,2]=>([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7)
[7,3,5,1,6,2,4]=>([(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)
[7,3,5,1,6,4,2]=>([(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7)
[7,3,5,2,1,4,6]=>([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)
[7,3,5,2,1,6,4]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)
[7,3,5,2,4,1,6]=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,5,2,4,6,1]=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,5,2,6,1,4]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
[7,3,5,2,6,4,1]=>([(2,5),(2,6),(3,4),(3,5),(4,6)],7)
[7,3,5,4,1,2,6]=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[7,3,5,4,1,6,2]=>([(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7)
[7,3,5,4,2,1,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,5,4,2,6,1]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,5,4,6,1,2]=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7)
[7,3,5,4,6,2,1]=>([(3,4),(3,5),(4,6),(5,6)],7)
[7,3,5,6,1,2,4]=>([(1,4),(2,3),(2,6),(3,5),(4,6)],7)
[7,3,5,6,1,4,2]=>([(1,3),(1,6),(2,4),(2,6),(4,5)],7)
[7,3,5,6,2,1,4]=>([(1,6),(2,6),(3,4),(3,6),(4,5)],7)
[7,3,5,6,2,4,1]=>([(2,6),(3,4),(3,6),(4,5)],7)
[7,3,5,6,4,1,2]=>([(1,5),(2,4),(2,6),(6,3)],7)
[7,3,5,6,4,2,1]=>([(3,4),(3,5),(5,6)],7)
[7,3,6,1,2,4,5]=>([(1,4),(2,3),(2,6),(4,6),(6,5)],7)
[7,3,6,1,2,5,4]=>([(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)
[7,3,6,1,4,2,5]=>([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7)
[7,3,6,1,4,5,2]=>([(1,4),(1,6),(2,3),(2,6),(6,5)],7)
[7,3,6,1,5,2,4]=>([(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7)
[7,3,6,1,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)
[7,3,6,2,1,4,5]=>([(1,6),(2,6),(3,4),(3,6),(6,5)],7)
[7,3,6,2,1,5,4]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[7,3,6,2,4,1,5]=>([(1,6),(2,5),(3,4),(3,5),(5,6)],7)
[7,3,6,2,4,5,1]=>([(2,6),(3,4),(3,6),(6,5)],7)
[7,3,6,2,5,1,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[7,3,6,2,5,4,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[7,3,6,4,1,2,5]=>([(1,5),(2,3),(2,4),(4,6),(5,6)],7)
[7,3,6,4,1,5,2]=>([(1,4),(1,6),(2,3),(2,5),(5,6)],7)
[7,3,6,4,2,1,5]=>([(1,6),(2,6),(3,4),(3,5),(5,6)],7)
[7,3,6,4,2,5,1]=>([(2,6),(3,4),(3,5),(5,6)],7)
[7,3,6,4,5,1,2]=>([(1,5),(2,4),(2,6),(6,3)],7)
[7,3,6,4,5,2,1]=>([(3,4),(3,5),(5,6)],7)
[7,3,6,5,1,2,4]=>([(1,5),(2,3),(2,4),(2,6),(5,6)],7)
[7,3,6,5,1,4,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)
[7,3,6,5,2,1,4]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)
[7,3,6,5,2,4,1]=>([(2,6),(3,4),(3,5),(3,6)],7)
[7,3,6,5,4,1,2]=>([(1,6),(2,3),(2,4),(2,5)],7)
[7,3,6,5,4,2,1]=>([(3,4),(3,5),(3,6)],7)
[7,4,1,2,3,5,6]=>([(1,6),(2,3),(3,5),(5,6),(6,4)],7)
[7,4,1,2,3,6,5]=>([(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)
[7,4,1,2,5,3,6]=>([(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)
[7,4,1,2,5,6,3]=>([(1,6),(2,3),(3,5),(3,6),(6,4)],7)
[7,4,1,2,6,3,5]=>([(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)
[7,4,1,2,6,5,3]=>([(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)
[7,4,1,3,2,5,6]=>([(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)
[7,4,1,3,2,6,5]=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,1,3,5,2,6]=>([(1,5),(2,3),(2,4),(3,6),(4,5),(5,6)],7)
[7,4,1,3,5,6,2]=>([(1,6),(2,3),(2,4),(4,6),(6,5)],7)
[7,4,1,3,6,2,5]=>([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[7,4,1,3,6,5,2]=>([(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)
[7,4,1,5,2,3,6]=>([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,1,5,2,6,3]=>([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)
[7,4,1,5,3,2,6]=>([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[7,4,1,5,3,6,2]=>([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)
[7,4,1,5,6,2,3]=>([(1,6),(2,3),(2,6),(3,5),(6,4)],7)
[7,4,1,5,6,3,2]=>([(1,6),(2,3),(2,4),(2,6),(6,5)],7)
[7,4,1,6,2,3,5]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)
[7,4,1,6,2,5,3]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)
[7,4,1,6,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)
[7,4,1,6,3,5,2]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)
[7,4,1,6,5,2,3]=>([(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)
[7,4,1,6,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[7,4,2,1,3,5,6]=>([(1,6),(2,5),(3,5),(5,6),(6,4)],7)
[7,4,2,1,3,6,5]=>([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,2,1,5,3,6]=>([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)
[7,4,2,1,5,6,3]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)
[7,4,2,1,6,3,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)
[7,4,2,1,6,5,3]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[7,4,2,3,1,5,6]=>([(1,6),(2,6),(3,4),(4,6),(6,5)],7)
[7,4,2,3,1,6,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[7,4,2,3,5,1,6]=>([(1,6),(2,5),(3,4),(4,6),(6,5)],7)
[7,4,2,3,5,6,1]=>([(2,6),(3,4),(4,6),(6,5)],7)
[7,4,2,3,6,1,5]=>([(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[7,4,2,3,6,5,1]=>([(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[7,4,2,5,1,3,6]=>([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,2,5,1,6,3]=>([(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)
[7,4,2,5,3,1,6]=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,2,5,3,6,1]=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,2,5,6,1,3]=>([(1,6),(2,5),(3,5),(3,6),(6,4)],7)
[7,4,2,5,6,3,1]=>([(2,6),(3,4),(3,6),(6,5)],7)
[7,4,2,6,1,3,5]=>([(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)
[7,4,2,6,1,5,3]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)
[7,4,2,6,3,1,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)
[7,4,2,6,3,5,1]=>([(2,5),(2,6),(3,4),(3,5),(4,6)],7)
[7,4,2,6,5,1,3]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)
[7,4,2,6,5,3,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[7,4,3,1,2,5,6]=>([(1,6),(2,6),(3,4),(4,6),(6,5)],7)
[7,4,3,1,2,6,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[7,4,3,1,5,2,6]=>([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)
[7,4,3,1,5,6,2]=>([(1,6),(2,6),(3,4),(3,6),(6,5)],7)
[7,4,3,1,6,2,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)
[7,4,3,1,6,5,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[7,4,3,2,1,5,6]=>([(1,6),(2,6),(3,6),(4,6),(6,5)],7)
[7,4,3,2,1,6,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,3,2,5,1,6]=>([(1,6),(2,6),(3,6),(4,5),(6,5)],7)
[7,4,3,2,5,6,1]=>([(2,6),(3,6),(4,6),(6,5)],7)
[7,4,3,2,6,1,5]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,3,2,6,5,1]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,3,5,1,2,6]=>([(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,3,5,1,6,2]=>([(1,5),(2,5),(3,4),(3,6),(5,6)],7)
[7,4,3,5,2,1,6]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[7,4,3,5,2,6,1]=>([(2,6),(3,5),(4,5),(5,6)],7)
[7,4,3,5,6,1,2]=>([(1,6),(2,6),(3,4),(6,5)],7)
[7,4,3,5,6,2,1]=>([(3,6),(4,6),(6,5)],7)
[7,4,3,6,1,2,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)
[7,4,3,6,1,5,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)
[7,4,3,6,2,1,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,3,6,2,5,1]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,3,6,5,1,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)
[7,4,3,6,5,2,1]=>([(3,5),(3,6),(4,5),(4,6)],7)
[7,4,5,1,2,3,6]=>([(1,3),(2,4),(3,5),(4,6),(5,6)],7)
[7,4,5,1,2,6,3]=>([(1,3),(2,4),(3,6),(4,5),(4,6)],7)
[7,4,5,1,3,2,6]=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[7,4,5,1,3,6,2]=>([(1,5),(2,3),(2,4),(4,6),(5,6)],7)
[7,4,5,1,6,2,3]=>([(1,4),(2,3),(2,6),(3,5),(4,6)],7)
[7,4,5,1,6,3,2]=>([(1,5),(2,3),(2,4),(2,6),(5,6)],7)
[7,4,5,2,1,3,6]=>([(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,5,2,1,6,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)
[7,4,5,2,3,1,6]=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,5,2,3,6,1]=>([(2,5),(3,4),(4,6),(5,6)],7)
[7,4,5,2,6,1,3]=>([(1,5),(2,5),(2,6),(3,4),(4,6)],7)
[7,4,5,2,6,3,1]=>([(2,5),(3,4),(3,6),(5,6)],7)
[7,4,5,3,1,2,6]=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,5,3,1,6,2]=>([(1,6),(2,5),(3,4),(3,6),(5,6)],7)
[7,4,5,3,2,1,6]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,4,5,3,2,6,1]=>([(2,6),(3,6),(4,5),(5,6)],7)
[7,4,5,3,6,1,2]=>([(1,6),(2,4),(3,5),(5,6)],7)
[7,4,5,3,6,2,1]=>([(3,6),(4,5),(5,6)],7)
[7,4,5,6,1,2,3]=>([(1,6),(2,5),(5,3),(6,4)],7)
[7,4,5,6,1,3,2]=>([(1,6),(2,4),(2,5),(6,3)],7)
[7,4,5,6,2,1,3]=>([(1,6),(2,6),(3,4),(4,5)],7)
[7,4,5,6,2,3,1]=>([(2,4),(3,5),(5,6)],7)
[7,4,5,6,3,1,2]=>([(2,4),(3,5),(5,6)],7)
[7,4,5,6,3,2,1]=>([(4,5),(5,6)],7)
[7,4,6,1,2,3,5]=>([(1,4),(2,3),(2,6),(4,5),(5,6)],7)
[7,4,6,1,2,5,3]=>([(1,4),(2,3),(2,6),(4,5),(4,6)],7)
[7,4,6,1,3,2,5]=>([(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7)
[7,4,6,1,3,5,2]=>([(1,4),(1,6),(2,3),(2,5),(5,6)],7)
[7,4,6,1,5,2,3]=>([(1,3),(1,6),(2,4),(2,6),(4,5)],7)
[7,4,6,1,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)
[7,4,6,2,1,3,5]=>([(1,5),(2,5),(3,4),(3,6),(5,6)],7)
[7,4,6,2,1,5,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)
[7,4,6,2,3,1,5]=>([(1,6),(2,5),(3,4),(3,6),(5,6)],7)
[7,4,6,2,3,5,1]=>([(2,5),(3,4),(3,6),(5,6)],7)
[7,4,6,2,5,1,3]=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7)
[7,4,6,2,5,3,1]=>([(2,5),(2,6),(3,4),(3,6)],7)
[7,4,6,3,1,2,5]=>([(1,6),(2,5),(3,4),(3,6),(5,6)],7)
[7,4,6,3,1,5,2]=>([(1,6),(2,5),(2,6),(3,4),(3,6)],7)
[7,4,6,3,2,1,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)
[7,4,6,3,2,5,1]=>([(2,6),(3,6),(4,5),(4,6)],7)
[7,4,6,3,5,1,2]=>([(1,6),(2,5),(3,4),(3,6)],7)
[7,4,6,3,5,2,1]=>([(3,6),(4,5),(4,6)],7)
[7,4,6,5,1,2,3]=>([(1,6),(2,4),(2,5),(6,3)],7)
[7,4,6,5,1,3,2]=>([(1,5),(1,6),(2,3),(2,4)],7)
[7,4,6,5,2,1,3]=>([(1,6),(2,6),(3,4),(3,5)],7)
[7,4,6,5,2,3,1]=>([(2,6),(3,4),(3,5)],7)
[7,4,6,5,3,1,2]=>([(2,6),(3,4),(3,5)],7)
[7,4,6,5,3,2,1]=>([(4,5),(4,6)],7)
[7,5,1,2,3,4,6]=>([(1,3),(2,6),(3,5),(4,6),(5,4)],7)
[7,5,1,2,3,6,4]=>([(1,3),(2,6),(3,5),(5,4),(5,6)],7)
[7,5,1,2,4,3,6]=>([(1,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,5,1,2,4,6,3]=>([(1,3),(2,6),(3,4),(3,5),(5,6)],7)
[7,5,1,2,6,3,4]=>([(1,3),(2,6),(3,5),(3,6),(5,4)],7)
[7,5,1,2,6,4,3]=>([(1,3),(2,6),(3,4),(3,5),(3,6)],7)
[7,5,1,3,2,4,6]=>([(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)
[7,5,1,3,2,6,4]=>([(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,5,1,3,4,2,6]=>([(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
[7,5,1,3,4,6,2]=>([(1,6),(2,3),(2,4),(4,5),(5,6)],7)
[7,5,1,3,6,2,4]=>([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[7,5,1,3,6,4,2]=>([(1,6),(2,3),(2,4),(4,5),(4,6)],7)
[7,5,1,4,2,3,6]=>([(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
[7,5,1,4,2,6,3]=>([(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[7,5,1,4,3,2,6]=>([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[7,5,1,4,3,6,2]=>([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)
[7,5,1,4,6,2,3]=>([(1,6),(2,3),(2,4),(3,5),(4,6)],7)
[7,5,1,4,6,3,2]=>([(1,6),(2,3),(2,4),(2,5),(5,6)],7)
[7,5,1,6,2,3,4]=>([(1,6),(2,3),(2,6),(3,5),(5,4)],7)
[7,5,1,6,2,4,3]=>([(1,6),(2,3),(2,6),(3,4),(3,5)],7)
[7,5,1,6,3,2,4]=>([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)
[7,5,1,6,3,4,2]=>([(1,6),(2,3),(2,4),(2,6),(4,5)],7)
[7,5,1,6,4,2,3]=>([(1,6),(2,3),(2,4),(2,6),(4,5)],7)
[7,5,1,6,4,3,2]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[7,5,2,1,3,4,6]=>([(1,6),(2,5),(3,5),(4,6),(5,4)],7)
[7,5,2,1,3,6,4]=>([(1,6),(2,6),(3,5),(6,4),(6,5)],7)
[7,5,2,1,4,3,6]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,5,2,1,4,6,3]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
[7,5,2,1,6,3,4]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)
[7,5,2,1,6,4,3]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[7,5,2,3,1,4,6]=>([(1,6),(2,5),(3,4),(4,6),(6,5)],7)
[7,5,2,3,1,6,4]=>([(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[7,5,2,3,4,1,6]=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[7,5,2,3,4,6,1]=>([(2,6),(3,4),(4,5),(5,6)],7)
[7,5,2,3,6,1,4]=>([(1,6),(2,5),(3,4),(4,5),(4,6)],7)
[7,5,2,3,6,4,1]=>([(2,6),(3,4),(4,5),(4,6)],7)
[7,5,2,4,1,3,6]=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,5,2,4,1,6,3]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)
[7,5,2,4,3,1,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,5,2,4,3,6,1]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,5,2,4,6,1,3]=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
[7,5,2,4,6,3,1]=>([(2,6),(3,4),(3,5),(5,6)],7)
[7,5,2,6,1,3,4]=>([(1,6),(2,5),(3,5),(3,6),(6,4)],7)
[7,5,2,6,1,4,3]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)
[7,5,2,6,3,1,4]=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
[7,5,2,6,3,4,1]=>([(2,6),(3,4),(3,6),(4,5)],7)
[7,5,2,6,4,1,3]=>([(1,6),(2,5),(3,4),(3,5),(3,6)],7)
[7,5,2,6,4,3,1]=>([(2,6),(3,4),(3,5),(3,6)],7)
[7,5,3,1,2,4,6]=>([(1,6),(2,5),(3,4),(4,6),(6,5)],7)
[7,5,3,1,2,6,4]=>([(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[7,5,3,1,4,2,6]=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,5,3,1,4,6,2]=>([(1,6),(2,5),(3,4),(3,5),(5,6)],7)
[7,5,3,1,6,2,4]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
[7,5,3,1,6,4,2]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[7,5,3,2,1,4,6]=>([(1,6),(2,6),(3,6),(4,5),(6,5)],7)
[7,5,3,2,1,6,4]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,5,3,2,4,1,6]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[7,5,3,2,4,6,1]=>([(2,6),(3,5),(4,5),(5,6)],7)
[7,5,3,2,6,1,4]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[7,5,3,2,6,4,1]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,5,3,4,1,2,6]=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,3,4,1,6,2]=>([(1,6),(2,5),(3,4),(3,6),(5,6)],7)
[7,5,3,4,2,1,6]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,5,3,4,2,6,1]=>([(2,6),(3,6),(4,5),(5,6)],7)
[7,5,3,4,6,1,2]=>([(1,6),(2,4),(3,5),(5,6)],7)
[7,5,3,4,6,2,1]=>([(3,6),(4,5),(5,6)],7)
[7,5,3,6,1,2,4]=>([(1,5),(2,5),(2,6),(3,4),(4,6)],7)
[7,5,3,6,1,4,2]=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7)
[7,5,3,6,2,1,4]=>([(1,6),(2,6),(3,5),(4,5),(4,6)],7)
[7,5,3,6,2,4,1]=>([(2,6),(3,5),(4,5),(4,6)],7)
[7,5,3,6,4,1,2]=>([(1,6),(2,5),(3,4),(3,6)],7)
[7,5,3,6,4,2,1]=>([(3,6),(4,5),(4,6)],7)
[7,5,4,1,2,3,6]=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[7,5,4,1,2,6,3]=>([(1,6),(2,6),(3,4),(4,5),(4,6)],7)
[7,5,4,1,3,2,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,5,4,1,3,6,2]=>([(1,6),(2,6),(3,4),(3,5),(5,6)],7)
[7,5,4,1,6,2,3]=>([(1,6),(2,6),(3,4),(3,6),(4,5)],7)
[7,5,4,1,6,3,2]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)
[7,5,4,2,1,3,6]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[7,5,4,2,1,6,3]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,5,4,2,3,1,6]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,5,4,2,3,6,1]=>([(2,6),(3,6),(4,5),(5,6)],7)
[7,5,4,2,6,1,3]=>([(1,6),(2,6),(3,5),(4,5),(4,6)],7)
[7,5,4,2,6,3,1]=>([(2,6),(3,6),(4,5),(4,6)],7)
[7,5,4,3,1,2,6]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,5,4,3,1,6,2]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)
[7,5,4,3,2,1,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,5,4,3,2,6,1]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,5,4,3,6,1,2]=>([(1,6),(2,6),(3,6),(4,5)],7)
[7,5,4,3,6,2,1]=>([(3,6),(4,6),(5,6)],7)
[7,5,4,6,1,2,3]=>([(1,6),(2,6),(3,4),(4,5)],7)
[7,5,4,6,1,3,2]=>([(1,6),(2,6),(3,4),(3,5)],7)
[7,5,4,6,2,1,3]=>([(1,6),(2,6),(3,5),(4,5)],7)
[7,5,4,6,2,3,1]=>([(2,6),(3,6),(4,5)],7)
[7,5,4,6,3,1,2]=>([(2,6),(3,6),(4,5)],7)
[7,5,4,6,3,2,1]=>([(4,6),(5,6)],7)
[7,5,6,1,2,3,4]=>([(1,6),(2,4),(5,3),(6,5)],7)
[7,5,6,1,2,4,3]=>([(1,5),(2,6),(6,3),(6,4)],7)
[7,5,6,1,3,2,4]=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7)
[7,5,6,1,3,4,2]=>([(1,5),(2,4),(2,6),(6,3)],7)
[7,5,6,1,4,2,3]=>([(1,5),(2,4),(2,6),(6,3)],7)
[7,5,6,1,4,3,2]=>([(1,6),(2,3),(2,4),(2,5)],7)
[7,5,6,2,1,3,4]=>([(1,6),(2,6),(3,4),(6,5)],7)
[7,5,6,2,1,4,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)
[7,5,6,2,3,1,4]=>([(1,6),(2,4),(3,5),(5,6)],7)
[7,5,6,2,3,4,1]=>([(2,4),(3,5),(5,6)],7)
[7,5,6,2,4,1,3]=>([(1,6),(2,5),(3,4),(3,6)],7)
[7,5,6,2,4,3,1]=>([(2,6),(3,4),(3,5)],7)
[7,5,6,3,1,2,4]=>([(1,6),(2,4),(3,5),(5,6)],7)
[7,5,6,3,1,4,2]=>([(1,6),(2,5),(3,4),(3,6)],7)
[7,5,6,3,2,1,4]=>([(1,6),(2,6),(3,6),(4,5)],7)
[7,5,6,3,2,4,1]=>([(2,6),(3,6),(4,5)],7)
[7,5,6,3,4,1,2]=>([(1,6),(2,5),(3,4)],7)
[7,5,6,3,4,2,1]=>([(3,6),(4,5)],7)
[7,5,6,4,1,2,3]=>([(2,4),(3,5),(5,6)],7)
[7,5,6,4,1,3,2]=>([(2,6),(3,4),(3,5)],7)
[7,5,6,4,2,1,3]=>([(2,6),(3,6),(4,5)],7)
[7,5,6,4,2,3,1]=>([(3,6),(4,5)],7)
[7,5,6,4,3,1,2]=>([(3,6),(4,5)],7)
[7,5,6,4,3,2,1]=>([(5,6)],7)
[7,6,1,2,3,4,5]=>([(2,6),(4,5),(5,3),(6,4)],7)
[7,6,1,2,3,5,4]=>([(2,5),(5,6),(6,3),(6,4)],7)
[7,6,1,2,4,3,5]=>([(2,3),(3,4),(3,5),(4,6),(5,6)],7)
[7,6,1,2,4,5,3]=>([(2,6),(5,4),(6,3),(6,5)],7)
[7,6,1,2,5,3,4]=>([(2,6),(5,4),(6,3),(6,5)],7)
[7,6,1,2,5,4,3]=>([(2,6),(6,3),(6,4),(6,5)],7)
[7,6,1,3,2,4,5]=>([(2,3),(2,4),(3,6),(4,6),(6,5)],7)
[7,6,1,3,2,5,4]=>([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,6,1,3,4,2,5]=>([(2,3),(2,4),(3,5),(4,6),(5,6)],7)
[7,6,1,3,4,5,2]=>([(2,4),(2,6),(5,3),(6,5)],7)
[7,6,1,3,5,2,4]=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[7,6,1,3,5,4,2]=>([(2,5),(2,6),(6,3),(6,4)],7)
[7,6,1,4,2,3,5]=>([(2,3),(2,4),(3,5),(4,6),(5,6)],7)
[7,6,1,4,2,5,3]=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[7,6,1,4,3,2,5]=>([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[7,6,1,4,3,5,2]=>([(2,3),(2,4),(2,5),(4,6),(5,6)],7)
[7,6,1,4,5,2,3]=>([(2,5),(2,6),(5,4),(6,3)],7)
[7,6,1,4,5,3,2]=>([(2,4),(2,5),(2,6),(6,3)],7)
[7,6,1,5,2,3,4]=>([(2,4),(2,6),(5,3),(6,5)],7)
[7,6,1,5,2,4,3]=>([(2,5),(2,6),(6,3),(6,4)],7)
[7,6,1,5,3,2,4]=>([(2,3),(2,4),(2,5),(4,6),(5,6)],7)
[7,6,1,5,3,4,2]=>([(2,4),(2,5),(2,6),(6,3)],7)
[7,6,1,5,4,2,3]=>([(2,4),(2,5),(2,6),(6,3)],7)
[7,6,1,5,4,3,2]=>([(2,3),(2,4),(2,5),(2,6)],7)
[7,6,2,1,3,4,5]=>([(2,6),(3,6),(4,5),(6,4)],7)
[7,6,2,1,3,5,4]=>([(2,6),(3,6),(6,4),(6,5)],7)
[7,6,2,1,4,3,5]=>([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,6,2,1,4,5,3]=>([(2,5),(2,6),(3,5),(3,6),(6,4)],7)
[7,6,2,1,5,3,4]=>([(2,5),(2,6),(3,5),(3,6),(6,4)],7)
[7,6,2,1,5,4,3]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[7,6,2,3,1,4,5]=>([(2,6),(3,4),(4,6),(6,5)],7)
[7,6,2,3,1,5,4]=>([(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[7,6,2,3,4,1,5]=>([(2,6),(3,4),(4,5),(5,6)],7)
[7,6,2,3,4,5,1]=>([(3,4),(4,6),(6,5)],7)
[7,6,2,3,5,1,4]=>([(2,6),(3,4),(4,5),(4,6)],7)
[7,6,2,3,5,4,1]=>([(3,4),(4,5),(4,6)],7)
[7,6,2,4,1,3,5]=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,6,2,4,1,5,3]=>([(2,5),(2,6),(3,4),(3,5),(4,6)],7)
[7,6,2,4,3,1,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,6,2,4,3,5,1]=>([(3,4),(3,5),(4,6),(5,6)],7)
[7,6,2,4,5,1,3]=>([(2,6),(3,4),(3,6),(4,5)],7)
[7,6,2,4,5,3,1]=>([(3,4),(3,5),(5,6)],7)
[7,6,2,5,1,3,4]=>([(2,6),(3,4),(3,6),(6,5)],7)
[7,6,2,5,1,4,3]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[7,6,2,5,3,1,4]=>([(2,6),(3,4),(3,5),(5,6)],7)
[7,6,2,5,3,4,1]=>([(3,4),(3,5),(5,6)],7)
[7,6,2,5,4,1,3]=>([(2,6),(3,4),(3,5),(3,6)],7)
[7,6,2,5,4,3,1]=>([(3,4),(3,5),(3,6)],7)
[7,6,3,1,2,4,5]=>([(2,6),(3,4),(4,6),(6,5)],7)
[7,6,3,1,2,5,4]=>([(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[7,6,3,1,4,2,5]=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,6,3,1,4,5,2]=>([(2,6),(3,4),(3,6),(6,5)],7)
[7,6,3,1,5,2,4]=>([(2,5),(2,6),(3,4),(3,5),(4,6)],7)
[7,6,3,1,5,4,2]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[7,6,3,2,1,4,5]=>([(2,6),(3,6),(4,6),(6,5)],7)
[7,6,3,2,1,5,4]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,6,3,2,4,1,5]=>([(2,6),(3,5),(4,5),(5,6)],7)
[7,6,3,2,4,5,1]=>([(3,6),(4,6),(6,5)],7)
[7,6,3,2,5,1,4]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,6,3,2,5,4,1]=>([(3,5),(3,6),(4,5),(4,6)],7)
[7,6,3,4,1,2,5]=>([(2,5),(3,4),(4,6),(5,6)],7)
[7,6,3,4,1,5,2]=>([(2,5),(3,4),(3,6),(5,6)],7)
[7,6,3,4,2,1,5]=>([(2,6),(3,6),(4,5),(5,6)],7)
[7,6,3,4,2,5,1]=>([(3,6),(4,5),(5,6)],7)
[7,6,3,4,5,1,2]=>([(2,4),(3,5),(5,6)],7)
[7,6,3,4,5,2,1]=>([(4,5),(5,6)],7)
[7,6,3,5,1,2,4]=>([(2,5),(3,4),(3,6),(5,6)],7)
[7,6,3,5,1,4,2]=>([(2,5),(2,6),(3,4),(3,6)],7)
[7,6,3,5,2,1,4]=>([(2,6),(3,6),(4,5),(4,6)],7)
[7,6,3,5,2,4,1]=>([(3,6),(4,5),(4,6)],7)
[7,6,3,5,4,1,2]=>([(2,6),(3,4),(3,5)],7)
[7,6,3,5,4,2,1]=>([(4,5),(4,6)],7)
[7,6,4,1,2,3,5]=>([(2,6),(3,4),(4,5),(5,6)],7)
[7,6,4,1,2,5,3]=>([(2,6),(3,4),(4,5),(4,6)],7)
[7,6,4,1,3,2,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,6,4,1,3,5,2]=>([(2,6),(3,4),(3,5),(5,6)],7)
[7,6,4,1,5,2,3]=>([(2,6),(3,4),(3,6),(4,5)],7)
[7,6,4,1,5,3,2]=>([(2,6),(3,4),(3,5),(3,6)],7)
[7,6,4,2,1,3,5]=>([(2,6),(3,5),(4,5),(5,6)],7)
[7,6,4,2,1,5,3]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,6,4,2,3,1,5]=>([(2,6),(3,6),(4,5),(5,6)],7)
[7,6,4,2,3,5,1]=>([(3,6),(4,5),(5,6)],7)
[7,6,4,2,5,1,3]=>([(2,6),(3,5),(4,5),(4,6)],7)
[7,6,4,2,5,3,1]=>([(3,6),(4,5),(4,6)],7)
[7,6,4,3,1,2,5]=>([(2,6),(3,6),(4,5),(5,6)],7)
[7,6,4,3,1,5,2]=>([(2,6),(3,6),(4,5),(4,6)],7)
[7,6,4,3,2,1,5]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,6,4,3,2,5,1]=>([(3,6),(4,6),(5,6)],7)
[7,6,4,3,5,1,2]=>([(2,6),(3,6),(4,5)],7)
[7,6,4,3,5,2,1]=>([(4,6),(5,6)],7)
[7,6,4,5,1,2,3]=>([(2,4),(3,5),(5,6)],7)
[7,6,4,5,1,3,2]=>([(2,6),(3,4),(3,5)],7)
[7,6,4,5,2,1,3]=>([(2,6),(3,6),(4,5)],7)
[7,6,4,5,2,3,1]=>([(3,6),(4,5)],7)
[7,6,4,5,3,1,2]=>([(3,6),(4,5)],7)
[7,6,4,5,3,2,1]=>([(5,6)],7)
[7,6,5,1,2,3,4]=>([(3,4),(4,6),(6,5)],7)
[7,6,5,1,2,4,3]=>([(3,4),(4,5),(4,6)],7)
[7,6,5,1,3,2,4]=>([(3,4),(3,5),(4,6),(5,6)],7)
[7,6,5,1,3,4,2]=>([(3,4),(3,5),(5,6)],7)
[7,6,5,1,4,2,3]=>([(3,4),(3,5),(5,6)],7)
[7,6,5,1,4,3,2]=>([(3,4),(3,5),(3,6)],7)
[7,6,5,2,1,3,4]=>([(3,6),(4,6),(6,5)],7)
[7,6,5,2,1,4,3]=>([(3,5),(3,6),(4,5),(4,6)],7)
[7,6,5,2,3,1,4]=>([(3,6),(4,5),(5,6)],7)
[7,6,5,2,3,4,1]=>([(4,5),(5,6)],7)
[7,6,5,2,4,1,3]=>([(3,6),(4,5),(4,6)],7)
[7,6,5,2,4,3,1]=>([(4,5),(4,6)],7)
[7,6,5,3,1,2,4]=>([(3,6),(4,5),(5,6)],7)
[7,6,5,3,1,4,2]=>([(3,6),(4,5),(4,6)],7)
[7,6,5,3,2,1,4]=>([(3,6),(4,6),(5,6)],7)
[7,6,5,3,2,4,1]=>([(4,6),(5,6)],7)
[7,6,5,3,4,1,2]=>([(3,6),(4,5)],7)
[7,6,5,3,4,2,1]=>([(5,6)],7)
[7,6,5,4,1,2,3]=>([(4,5),(5,6)],7)
[7,6,5,4,1,3,2]=>([(4,5),(4,6)],7)
[7,6,5,4,2,1,3]=>([(4,6),(5,6)],7)
[7,6,5,4,2,3,1]=>([(5,6)],7)
[7,6,5,4,3,1,2]=>([(5,6)],7)
[7,6,5,4,3,2,1]=>([],7)
[8,7,6,5,4,3,2,1]=>([],8)
[7,8,6,5,4,3,2,1]=>([(6,7)],8)
[8,6,7,5,4,3,2,1]=>([(6,7)],8)
[7,6,8,5,4,3,2,1]=>([(5,7),(6,7)],8)
[6,7,8,5,4,3,2,1]=>([(5,6),(6,7)],8)
[8,7,5,6,4,3,2,1]=>([(6,7)],8)
[7,8,5,6,4,3,2,1]=>([(4,7),(5,6)],8)
[8,6,5,7,4,3,2,1]=>([(5,7),(6,7)],8)
[8,5,6,7,4,3,2,1]=>([(5,6),(6,7)],8)
[7,6,5,8,4,3,2,1]=>([(4,7),(5,7),(6,7)],8)
[6,7,5,8,4,3,2,1]=>([(4,7),(5,6),(6,7)],8)
[7,5,6,8,4,3,2,1]=>([(4,7),(5,6),(6,7)],8)
[6,5,7,8,4,3,2,1]=>([(4,7),(5,7),(7,6)],8)
[5,6,7,8,4,3,2,1]=>([(4,5),(5,7),(7,6)],8)
[8,7,6,4,5,3,2,1]=>([(6,7)],8)
[7,8,6,4,5,3,2,1]=>([(4,7),(5,6)],8)
[8,6,7,4,5,3,2,1]=>([(4,7),(5,6)],8)
[7,6,8,4,5,3,2,1]=>([(3,7),(4,7),(5,6)],8)
[8,7,5,4,6,3,2,1]=>([(5,7),(6,7)],8)
[8,7,4,5,6,3,2,1]=>([(5,6),(6,7)],8)
[8,6,5,4,7,3,2,1]=>([(4,7),(5,7),(6,7)],8)
[8,5,6,4,7,3,2,1]=>([(4,7),(5,6),(6,7)],8)
[8,6,4,5,7,3,2,1]=>([(4,7),(5,6),(6,7)],8)
[8,4,5,6,7,3,2,1]=>([(4,5),(5,7),(7,6)],8)
[7,6,5,4,8,3,2,1]=>([(3,7),(4,7),(5,7),(6,7)],8)
[6,7,5,4,8,3,2,1]=>([(3,7),(4,7),(5,6),(6,7)],8)
[7,5,6,4,8,3,2,1]=>([(3,7),(4,7),(5,6),(6,7)],8)
[6,5,7,4,8,3,2,1]=>([(3,7),(4,6),(5,6),(6,7)],8)
[5,6,7,4,8,3,2,1]=>([(3,7),(4,5),(5,6),(6,7)],8)
[7,6,4,5,8,3,2,1]=>([(3,7),(4,7),(5,6),(6,7)],8)
[6,7,4,5,8,3,2,1]=>([(3,6),(4,5),(5,7),(6,7)],8)
[7,5,4,6,8,3,2,1]=>([(3,7),(4,6),(5,6),(6,7)],8)
[7,4,5,6,8,3,2,1]=>([(3,7),(4,5),(5,6),(6,7)],8)
[6,5,4,7,8,3,2,1]=>([(3,7),(4,7),(5,7),(7,6)],8)
[5,6,4,7,8,3,2,1]=>([(3,7),(4,5),(5,7),(7,6)],8)
[6,4,5,7,8,3,2,1]=>([(3,7),(4,5),(5,7),(7,6)],8)
[5,4,6,7,8,3,2,1]=>([(3,7),(4,7),(5,6),(7,5)],8)
[4,5,6,7,8,3,2,1]=>([(3,4),(4,7),(6,5),(7,6)],8)
[8,7,6,5,3,4,2,1]=>([(6,7)],8)
[7,8,6,5,3,4,2,1]=>([(4,7),(5,6)],8)
[8,6,7,5,3,4,2,1]=>([(4,7),(5,6)],8)
[7,6,8,5,3,4,2,1]=>([(3,7),(4,7),(5,6)],8)
[8,7,5,6,3,4,2,1]=>([(4,7),(5,6)],8)
[7,8,5,6,3,4,2,1]=>([(2,7),(3,6),(4,5)],8)
[8,5,6,7,3,4,2,1]=>([(3,5),(4,6),(6,7)],8)
[7,6,5,8,3,4,2,1]=>([(2,7),(3,7),(4,7),(5,6)],8)
[6,7,5,8,3,4,2,1]=>([(2,7),(3,5),(4,6),(6,7)],8)
[6,5,7,8,3,4,2,1]=>([(2,7),(3,7),(4,5),(7,6)],8)
[5,6,7,8,3,4,2,1]=>([(2,4),(3,5),(5,6),(6,7)],8)
[8,7,6,4,3,5,2,1]=>([(5,7),(6,7)],8)
[7,8,6,4,3,5,2,1]=>([(3,7),(4,7),(5,6)],8)
[8,6,7,4,3,5,2,1]=>([(3,7),(4,7),(5,6)],8)
[7,6,8,4,3,5,2,1]=>([(2,7),(3,7),(4,6),(5,6)],8)
[6,7,8,4,3,5,2,1]=>([(2,7),(3,7),(4,5),(5,6)],8)
[8,7,6,3,4,5,2,1]=>([(5,6),(6,7)],8)
[7,8,6,3,4,5,2,1]=>([(3,5),(4,6),(6,7)],8)
[8,6,7,3,4,5,2,1]=>([(3,5),(4,6),(6,7)],8)
[7,6,8,3,4,5,2,1]=>([(2,7),(3,7),(4,5),(5,6)],8)
[6,7,8,3,4,5,2,1]=>([(2,5),(3,4),(4,6),(5,7)],8)
[8,7,5,4,3,6,2,1]=>([(4,7),(5,7),(6,7)],8)
[7,8,5,4,3,6,2,1]=>([(2,7),(3,7),(4,7),(5,6)],8)
[8,7,4,5,3,6,2,1]=>([(4,7),(5,6),(6,7)],8)
[8,7,5,3,4,6,2,1]=>([(4,7),(5,6),(6,7)],8)
[7,8,5,3,4,6,2,1]=>([(2,7),(3,5),(4,6),(6,7)],8)
[8,7,4,3,5,6,2,1]=>([(4,7),(5,7),(7,6)],8)
[8,7,3,4,5,6,2,1]=>([(4,5),(5,7),(7,6)],8)
[7,8,3,4,5,6,2,1]=>([(2,4),(3,5),(5,6),(6,7)],8)
[8,6,5,4,3,7,2,1]=>([(3,7),(4,7),(5,7),(6,7)],8)
[8,6,4,3,5,7,2,1]=>([(3,7),(4,6),(5,6),(6,7)],8)
[8,5,4,3,6,7,2,1]=>([(3,7),(4,7),(5,7),(7,6)],8)
[8,5,3,4,6,7,2,1]=>([(3,7),(4,5),(5,7),(7,6)],8)
[8,4,3,5,6,7,2,1]=>([(3,7),(4,7),(5,6),(7,5)],8)
[8,3,4,5,6,7,2,1]=>([(3,4),(4,7),(6,5),(7,6)],8)
[7,6,5,4,3,8,2,1]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,7,5,4,3,8,2,1]=>([(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[7,5,6,4,3,8,2,1]=>([(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[5,6,7,4,3,8,2,1]=>([(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[6,7,4,5,3,8,2,1]=>([(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[7,5,4,6,3,8,2,1]=>([(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[7,4,5,6,3,8,2,1]=>([(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[6,5,4,7,3,8,2,1]=>([(2,7),(3,7),(4,7),(5,6),(7,6)],8)
[6,4,5,7,3,8,2,1]=>([(2,7),(3,6),(4,5),(5,7),(7,6)],8)
[5,4,6,7,3,8,2,1]=>([(2,7),(3,6),(4,6),(5,7),(6,5)],8)
[4,5,6,7,3,8,2,1]=>([(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[7,6,5,3,4,8,2,1]=>([(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[7,6,4,3,5,8,2,1]=>([(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[7,6,3,4,5,8,2,1]=>([(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[7,5,4,3,6,8,2,1]=>([(2,7),(3,7),(4,7),(5,6),(7,6)],8)
[7,5,3,4,6,8,2,1]=>([(2,7),(3,6),(4,5),(5,7),(7,6)],8)
[7,3,4,5,6,8,2,1]=>([(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[6,5,4,3,7,8,2,1]=>([(2,7),(3,7),(4,7),(5,7),(7,6)],8)
[6,5,3,4,7,8,2,1]=>([(2,7),(3,7),(4,5),(5,7),(7,6)],8)
[6,3,4,5,7,8,2,1]=>([(2,7),(3,4),(4,6),(6,7),(7,5)],8)
[5,4,3,6,7,8,2,1]=>([(2,7),(3,7),(4,7),(5,6),(7,5)],8)
[5,3,4,6,7,8,2,1]=>([(2,7),(3,4),(4,7),(5,6),(7,5)],8)
[4,3,5,6,7,8,2,1]=>([(2,7),(3,7),(4,6),(6,5),(7,4)],8)
[3,4,5,6,7,8,2,1]=>([(2,7),(4,6),(5,4),(6,3),(7,5)],8)
[8,7,6,5,4,2,3,1]=>([(6,7)],8)
[7,8,6,5,4,2,3,1]=>([(4,7),(5,6)],8)
[8,6,7,5,4,2,3,1]=>([(4,7),(5,6)],8)
[7,6,8,5,4,2,3,1]=>([(3,7),(4,7),(5,6)],8)
[8,7,5,6,4,2,3,1]=>([(4,7),(5,6)],8)
[8,6,5,7,4,2,3,1]=>([(3,7),(4,7),(5,6)],8)
[8,5,6,7,4,2,3,1]=>([(3,5),(4,6),(6,7)],8)
[7,6,5,8,4,2,3,1]=>([(2,7),(3,7),(4,7),(5,6)],8)
[6,7,5,8,4,2,3,1]=>([(2,7),(3,5),(4,6),(6,7)],8)
[7,5,6,8,4,2,3,1]=>([(2,7),(3,5),(4,6),(6,7)],8)
[5,6,7,8,4,2,3,1]=>([(2,4),(3,5),(5,6),(6,7)],8)
[8,7,6,4,5,2,3,1]=>([(4,7),(5,6)],8)
[8,6,7,4,5,2,3,1]=>([(2,7),(3,6),(4,5)],8)
[7,6,8,4,5,2,3,1]=>([(1,7),(2,7),(3,6),(4,5)],8)
[6,7,8,4,5,2,3,1]=>([(1,5),(2,4),(3,6),(6,7)],8)
[8,7,5,4,6,2,3,1]=>([(3,7),(4,7),(5,6)],8)
[8,7,4,5,6,2,3,1]=>([(3,5),(4,6),(6,7)],8)
[7,8,4,5,6,2,3,1]=>([(1,5),(2,4),(3,6),(6,7)],8)
[8,6,5,4,7,2,3,1]=>([(2,7),(3,7),(4,7),(5,6)],8)
[8,5,6,4,7,2,3,1]=>([(2,7),(3,5),(4,6),(6,7)],8)
[8,6,4,5,7,2,3,1]=>([(2,7),(3,5),(4,6),(6,7)],8)
[8,4,5,6,7,2,3,1]=>([(2,4),(3,5),(5,6),(6,7)],8)
[7,6,5,4,8,2,3,1]=>([(1,7),(2,7),(3,7),(4,7),(5,6)],8)
[7,5,6,4,8,2,3,1]=>([(1,7),(2,7),(3,5),(4,6),(6,7)],8)
[6,5,7,4,8,2,3,1]=>([(1,7),(2,6),(3,6),(4,5),(6,7)],8)
[6,7,4,5,8,2,3,1]=>([(1,6),(2,5),(3,4),(5,7),(6,7)],8)
[4,5,6,7,8,2,3,1]=>([(1,7),(2,4),(5,6),(6,3),(7,5)],8)
[8,7,6,5,3,2,4,1]=>([(5,7),(6,7)],8)
[7,8,6,5,3,2,4,1]=>([(3,7),(4,7),(5,6)],8)
[8,6,7,5,3,2,4,1]=>([(3,7),(4,7),(5,6)],8)
[7,6,8,5,3,2,4,1]=>([(2,7),(3,7),(4,6),(5,6)],8)
[6,7,8,5,3,2,4,1]=>([(2,7),(3,7),(4,5),(5,6)],8)
[8,7,5,6,3,2,4,1]=>([(3,7),(4,7),(5,6)],8)
[8,6,5,7,3,2,4,1]=>([(2,7),(3,7),(4,6),(5,6)],8)
[8,5,6,7,3,2,4,1]=>([(2,7),(3,7),(4,5),(5,6)],8)
[7,6,5,8,3,2,4,1]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[6,7,5,8,3,2,4,1]=>([(1,7),(2,6),(3,6),(4,5),(5,7)],8)
[5,6,7,8,3,2,4,1]=>([(1,4),(2,7),(3,7),(4,6),(6,5)],8)
[8,7,6,5,2,3,4,1]=>([(5,6),(6,7)],8)
[8,6,7,5,2,3,4,1]=>([(3,5),(4,6),(6,7)],8)
[7,6,8,5,2,3,4,1]=>([(2,7),(3,7),(4,5),(5,6)],8)
[6,7,8,5,2,3,4,1]=>([(2,5),(3,4),(4,6),(5,7)],8)
[8,7,5,6,2,3,4,1]=>([(3,5),(4,6),(6,7)],8)
[7,8,5,6,2,3,4,1]=>([(1,5),(2,4),(3,6),(6,7)],8)
[8,6,5,7,2,3,4,1]=>([(2,7),(3,7),(4,5),(5,6)],8)
[8,5,6,7,2,3,4,1]=>([(2,5),(3,4),(4,6),(5,7)],8)
[7,6,5,8,2,3,4,1]=>([(1,7),(2,7),(3,7),(4,5),(5,6)],8)
[6,7,5,8,2,3,4,1]=>([(1,7),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,7,8,2,3,4,1]=>([(1,7),(2,7),(3,4),(4,6),(7,5)],8)
[5,6,7,8,2,3,4,1]=>([(1,6),(2,7),(5,4),(6,5),(7,3)],8)
[8,7,6,4,3,2,5,1]=>([(4,7),(5,7),(6,7)],8)
[7,8,6,4,3,2,5,1]=>([(2,7),(3,7),(4,7),(5,6)],8)
[8,6,7,4,3,2,5,1]=>([(2,7),(3,7),(4,7),(5,6)],8)
[7,6,8,4,3,2,5,1]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[6,7,8,4,3,2,5,1]=>([(1,7),(2,7),(3,7),(4,5),(5,6)],8)
[8,7,6,3,4,2,5,1]=>([(4,7),(5,6),(6,7)],8)
[7,8,6,3,4,2,5,1]=>([(2,7),(3,5),(4,6),(6,7)],8)
[8,6,7,3,4,2,5,1]=>([(2,7),(3,5),(4,6),(6,7)],8)
[7,6,8,3,4,2,5,1]=>([(1,7),(2,6),(3,6),(4,5),(5,7)],8)
[6,7,8,3,4,2,5,1]=>([(1,7),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,8,4,2,3,5,1]=>([(1,7),(2,6),(3,6),(4,5),(5,7)],8)
[6,7,8,4,2,3,5,1]=>([(1,7),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,6,3,2,4,5,1]=>([(4,7),(5,7),(7,6)],8)
[7,8,6,3,2,4,5,1]=>([(2,7),(3,7),(4,5),(7,6)],8)
[8,6,7,3,2,4,5,1]=>([(2,7),(3,7),(4,5),(7,6)],8)
[6,7,8,3,2,4,5,1]=>([(1,7),(2,7),(3,4),(4,6),(7,5)],8)
[8,7,6,2,3,4,5,1]=>([(4,5),(5,7),(7,6)],8)
[7,8,6,2,3,4,5,1]=>([(2,4),(3,5),(5,6),(6,7)],8)
[8,6,7,2,3,4,5,1]=>([(2,4),(3,5),(5,6),(6,7)],8)
[7,6,8,2,3,4,5,1]=>([(1,4),(2,7),(3,7),(4,6),(6,5)],8)
[6,7,8,2,3,4,5,1]=>([(1,6),(2,7),(5,4),(6,5),(7,3)],8)
[8,7,5,4,3,2,6,1]=>([(3,7),(4,7),(5,7),(6,7)],8)
[7,8,5,4,3,2,6,1]=>([(1,7),(2,7),(3,7),(4,7),(5,6)],8)
[8,7,5,3,4,2,6,1]=>([(3,7),(4,7),(5,6),(6,7)],8)
[7,8,5,3,4,2,6,1]=>([(1,7),(2,7),(3,5),(4,6),(6,7)],8)
[8,7,4,3,5,2,6,1]=>([(3,7),(4,6),(5,6),(6,7)],8)
[7,8,4,3,5,2,6,1]=>([(1,7),(2,6),(3,6),(4,5),(6,7)],8)
[8,7,5,4,2,3,6,1]=>([(3,7),(4,7),(5,6),(6,7)],8)
[8,7,5,3,2,4,6,1]=>([(3,7),(4,6),(5,6),(6,7)],8)
[8,7,4,3,2,5,6,1]=>([(3,7),(4,7),(5,7),(7,6)],8)
[7,8,4,3,2,5,6,1]=>([(1,7),(2,7),(3,7),(4,5),(7,6)],8)
[7,8,3,4,2,5,6,1]=>([(1,7),(2,4),(3,5),(5,7),(7,6)],8)
[7,8,4,2,3,5,6,1]=>([(1,7),(2,4),(3,5),(5,7),(7,6)],8)
[7,8,3,2,4,5,6,1]=>([(1,7),(2,7),(3,4),(5,6),(7,5)],8)
[8,7,2,3,4,5,6,1]=>([(3,4),(4,7),(6,5),(7,6)],8)
[7,8,2,3,4,5,6,1]=>([(1,7),(2,4),(5,6),(6,3),(7,5)],8)
[8,6,5,4,3,2,7,1]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,5,6,4,3,2,7,1]=>([(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[8,6,4,5,3,2,7,1]=>([(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[8,5,4,6,3,2,7,1]=>([(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[8,6,5,3,4,2,7,1]=>([(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[8,5,6,3,4,2,7,1]=>([(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[8,6,4,3,5,2,7,1]=>([(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[8,6,3,4,5,2,7,1]=>([(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[8,5,4,3,6,2,7,1]=>([(2,7),(3,7),(4,7),(5,6),(7,6)],8)
[8,4,5,3,6,2,7,1]=>([(2,7),(3,6),(4,5),(5,7),(7,6)],8)
[8,4,3,5,6,2,7,1]=>([(2,7),(3,6),(4,6),(5,7),(6,5)],8)
[8,3,4,5,6,2,7,1]=>([(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[8,6,5,4,2,3,7,1]=>([(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[8,5,6,4,2,3,7,1]=>([(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[8,6,5,3,2,4,7,1]=>([(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[8,6,4,3,2,5,7,1]=>([(2,7),(3,7),(4,7),(5,6),(7,6)],8)
[8,6,4,2,3,5,7,1]=>([(2,7),(3,6),(4,5),(5,7),(7,6)],8)
[8,6,2,3,4,5,7,1]=>([(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[8,5,4,3,2,6,7,1]=>([(2,7),(3,7),(4,7),(5,7),(7,6)],8)
[8,4,5,3,2,6,7,1]=>([(2,7),(3,7),(4,5),(5,7),(7,6)],8)
[8,5,3,4,2,6,7,1]=>([(2,7),(3,7),(4,5),(5,7),(7,6)],8)
[8,3,4,5,2,6,7,1]=>([(2,7),(3,4),(4,6),(6,7),(7,5)],8)
[8,5,4,2,3,6,7,1]=>([(2,7),(3,7),(4,5),(5,7),(7,6)],8)
[8,4,5,2,3,6,7,1]=>([(2,5),(3,4),(4,7),(5,7),(7,6)],8)
[8,4,3,2,5,6,7,1]=>([(2,7),(3,7),(4,7),(5,6),(7,5)],8)
[8,3,4,2,5,6,7,1]=>([(2,7),(3,4),(4,7),(5,6),(7,5)],8)
[8,4,2,3,5,6,7,1]=>([(2,7),(3,4),(4,7),(5,6),(7,5)],8)
[8,3,2,4,5,6,7,1]=>([(2,7),(3,7),(4,6),(6,5),(7,4)],8)
[8,2,3,4,5,6,7,1]=>([(2,7),(4,6),(5,4),(6,3),(7,5)],8)
[7,6,5,4,3,2,8,1]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,7,5,4,3,2,8,1]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[7,5,6,4,3,2,8,1]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[6,5,7,4,3,2,8,1]=>([(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[7,6,4,5,3,2,8,1]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[6,7,4,5,3,2,8,1]=>([(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[7,4,5,6,3,2,8,1]=>([(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[6,4,5,7,3,2,8,1]=>([(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[4,5,6,7,3,2,8,1]=>([(1,4),(2,7),(3,7),(4,6),(5,7),(6,5)],8)
[7,6,5,3,4,2,8,1]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[7,5,6,3,4,2,8,1]=>([(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[6,5,7,3,4,2,8,1]=>([(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[7,6,4,3,5,2,8,1]=>([(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[7,6,3,4,5,2,8,1]=>([(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[7,5,4,3,6,2,8,1]=>([(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)
[7,4,5,3,6,2,8,1]=>([(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[7,5,3,4,6,2,8,1]=>([(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[7,3,4,5,6,2,8,1]=>([(1,4),(2,7),(3,7),(4,6),(5,7),(6,5)],8)
[6,5,4,3,7,2,8,1]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)
[6,4,5,3,7,2,8,1]=>([(1,7),(2,7),(3,6),(4,5),(5,7),(7,6)],8)
[5,4,6,3,7,2,8,1]=>([(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)
[4,5,6,3,7,2,8,1]=>([(1,7),(2,6),(3,4),(4,5),(5,6),(6,7)],8)
[6,5,3,4,7,2,8,1]=>([(1,7),(2,7),(3,6),(4,5),(5,7),(7,6)],8)
[5,6,3,4,7,2,8,1]=>([(1,6),(2,5),(3,4),(4,7),(5,7),(7,6)],8)
[6,4,3,5,7,2,8,1]=>([(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)
[6,3,4,5,7,2,8,1]=>([(1,7),(2,6),(3,4),(4,5),(5,6),(6,7)],8)
[5,4,3,6,7,2,8,1]=>([(1,7),(2,7),(3,7),(4,6),(5,6),(7,5)],8)
[4,5,3,6,7,2,8,1]=>([(1,7),(2,6),(3,4),(4,7),(5,6),(7,5)],8)
[3,4,5,6,7,2,8,1]=>([(1,7),(2,6),(3,7),(4,5),(5,3),(6,4)],8)
[7,6,5,4,2,3,8,1]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[6,7,5,4,2,3,8,1]=>([(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[7,5,6,4,2,3,8,1]=>([(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[6,5,7,4,2,3,8,1]=>([(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[5,6,7,4,2,3,8,1]=>([(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,6,4,5,2,3,8,1]=>([(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[6,7,4,5,2,3,8,1]=>([(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,5,4,6,2,3,8,1]=>([(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[7,4,5,6,2,3,8,1]=>([(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,5,4,7,2,3,8,1]=>([(1,7),(2,7),(3,7),(4,5),(5,6),(7,6)],8)
[5,6,4,7,2,3,8,1]=>([(1,6),(2,4),(3,5),(4,7),(5,6),(6,7)],8)
[5,4,6,7,2,3,8,1]=>([(1,6),(2,6),(3,4),(4,7),(5,7),(6,5)],8)
[4,5,6,7,2,3,8,1]=>([(1,6),(2,4),(3,7),(4,7),(5,3),(6,5)],8)
[7,6,5,3,2,4,8,1]=>([(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[6,7,5,3,2,4,8,1]=>([(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[6,5,7,3,2,4,8,1]=>([(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8)
[7,6,5,2,3,4,8,1]=>([(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[7,5,6,2,3,4,8,1]=>([(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,6,7,2,3,4,8,1]=>([(1,6),(2,5),(3,7),(4,7),(5,3),(6,4)],8)
[6,7,4,3,2,5,8,1]=>([(1,7),(2,7),(3,7),(4,5),(5,6),(7,6)],8)
[7,6,4,2,3,5,8,1]=>([(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[7,6,3,2,4,5,8,1]=>([(1,7),(2,7),(3,6),(4,6),(5,7),(6,5)],8)
[6,7,3,2,4,5,8,1]=>([(1,6),(2,6),(3,4),(4,7),(5,7),(6,5)],8)
[7,6,2,3,4,5,8,1]=>([(1,4),(2,7),(3,7),(4,6),(5,7),(6,5)],8)
[6,7,2,3,4,5,8,1]=>([(1,6),(2,4),(3,7),(4,7),(5,3),(6,5)],8)
[7,5,4,3,2,6,8,1]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)
[7,4,3,5,2,6,8,1]=>([(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)
[7,5,4,2,3,6,8,1]=>([(1,7),(2,7),(3,6),(4,5),(5,7),(7,6)],8)
[7,4,5,2,3,6,8,1]=>([(1,6),(2,5),(3,4),(4,7),(5,7),(7,6)],8)
[7,5,3,2,4,6,8,1]=>([(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)
[7,5,2,3,4,6,8,1]=>([(1,7),(2,6),(3,4),(4,5),(5,6),(6,7)],8)
[7,4,3,2,5,6,8,1]=>([(1,7),(2,7),(3,7),(4,6),(5,6),(7,5)],8)
[7,3,2,4,5,6,8,1]=>([(1,7),(2,7),(3,6),(4,5),(5,6),(7,4)],8)
[7,2,3,4,5,6,8,1]=>([(1,7),(2,6),(3,7),(4,5),(5,3),(6,4)],8)
[6,5,4,3,2,7,8,1]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(7,6)],8)
[5,4,6,3,2,7,8,1]=>([(1,7),(2,7),(3,6),(4,6),(6,7),(7,5)],8)
[4,5,6,3,2,7,8,1]=>([(1,7),(2,7),(3,4),(4,6),(6,7),(7,5)],8)
[6,5,3,4,2,7,8,1]=>([(1,7),(2,7),(3,7),(4,5),(5,7),(7,6)],8)
[6,3,4,5,2,7,8,1]=>([(1,7),(2,7),(3,4),(4,6),(6,7),(7,5)],8)
[5,4,3,6,2,7,8,1]=>([(1,7),(2,7),(3,7),(4,6),(6,5),(7,6)],8)
[4,3,5,6,2,7,8,1]=>([(1,7),(2,6),(3,6),(5,7),(6,5),(7,4)],8)
[3,4,5,6,2,7,8,1]=>([(1,7),(2,6),(3,7),(5,3),(6,5),(7,4)],8)
[6,5,4,2,3,7,8,1]=>([(1,7),(2,7),(3,7),(4,5),(5,7),(7,6)],8)
[5,6,4,2,3,7,8,1]=>([(1,7),(2,5),(3,4),(4,7),(5,7),(7,6)],8)
[6,4,5,2,3,7,8,1]=>([(1,7),(2,5),(3,4),(4,7),(5,7),(7,6)],8)
[5,4,6,2,3,7,8,1]=>([(1,6),(2,6),(3,4),(4,7),(6,7),(7,5)],8)
[4,5,6,2,3,7,8,1]=>([(1,5),(2,6),(3,7),(5,7),(6,3),(7,4)],8)
[6,5,3,2,4,7,8,1]=>([(1,7),(2,7),(3,6),(4,6),(6,7),(7,5)],8)
[6,5,2,3,4,7,8,1]=>([(1,7),(2,7),(3,4),(4,6),(6,7),(7,5)],8)
[6,2,3,4,5,7,8,1]=>([(1,7),(2,6),(3,7),(5,3),(6,5),(7,4)],8)
[5,4,3,2,6,7,8,1]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(7,5)],8)
[4,5,3,2,6,7,8,1]=>([(1,7),(2,7),(3,4),(4,7),(5,6),(7,5)],8)
[5,3,4,2,6,7,8,1]=>([(1,7),(2,7),(3,4),(4,7),(5,6),(7,5)],8)
[4,3,5,2,6,7,8,1]=>([(1,7),(2,6),(3,6),(4,5),(6,7),(7,4)],8)
[3,4,5,2,6,7,8,1]=>([(1,7),(2,5),(4,7),(5,4),(6,3),(7,6)],8)
[5,4,2,3,6,7,8,1]=>([(1,7),(2,7),(3,4),(4,7),(5,6),(7,5)],8)
[4,5,2,3,6,7,8,1]=>([(1,5),(2,4),(4,7),(5,7),(6,3),(7,6)],8)
[5,3,2,4,6,7,8,1]=>([(1,7),(2,6),(3,6),(4,5),(6,7),(7,4)],8)
[5,2,3,4,6,7,8,1]=>([(1,7),(2,5),(4,7),(5,4),(6,3),(7,6)],8)
[4,3,2,5,6,7,8,1]=>([(1,7),(2,7),(3,7),(4,6),(6,5),(7,4)],8)
[3,4,2,5,6,7,8,1]=>([(1,7),(2,4),(4,7),(5,3),(6,5),(7,6)],8)
[4,2,3,5,6,7,8,1]=>([(1,7),(2,4),(4,7),(5,3),(6,5),(7,6)],8)
[3,2,4,5,6,7,8,1]=>([(1,7),(2,7),(4,5),(5,3),(6,4),(7,6)],8)
[2,3,4,5,6,7,8,1]=>([(1,7),(3,4),(4,6),(5,3),(6,2),(7,5)],8)
[8,7,6,5,4,3,1,2]=>([(6,7)],8)
[7,8,6,5,4,3,1,2]=>([(4,7),(5,6)],8)
[8,6,7,5,4,3,1,2]=>([(4,7),(5,6)],8)
[7,6,8,5,4,3,1,2]=>([(3,7),(4,7),(5,6)],8)
[6,7,8,5,4,3,1,2]=>([(3,5),(4,6),(6,7)],8)
[8,7,5,6,4,3,1,2]=>([(4,7),(5,6)],8)
[7,8,5,6,4,3,1,2]=>([(2,7),(3,6),(4,5)],8)
[8,6,5,7,4,3,1,2]=>([(3,7),(4,7),(5,6)],8)
[7,6,5,8,4,3,1,2]=>([(2,7),(3,7),(4,7),(5,6)],8)
[6,7,5,8,4,3,1,2]=>([(2,7),(3,5),(4,6),(6,7)],8)
[7,5,6,8,4,3,1,2]=>([(2,7),(3,5),(4,6),(6,7)],8)
[6,5,7,8,4,3,1,2]=>([(2,7),(3,7),(4,5),(7,6)],8)
[5,6,7,8,4,3,1,2]=>([(2,4),(3,5),(5,6),(6,7)],8)
[8,7,6,4,5,3,1,2]=>([(4,7),(5,6)],8)
[7,8,6,4,5,3,1,2]=>([(2,7),(3,6),(4,5)],8)
[8,6,7,4,5,3,1,2]=>([(2,7),(3,6),(4,5)],8)
[6,7,8,4,5,3,1,2]=>([(1,5),(2,4),(3,6),(6,7)],8)
[8,7,5,4,6,3,1,2]=>([(3,7),(4,7),(5,6)],8)
[7,8,4,5,6,3,1,2]=>([(1,5),(2,4),(3,6),(6,7)],8)
[8,5,6,4,7,3,1,2]=>([(2,7),(3,5),(4,6),(6,7)],8)
[8,6,4,5,7,3,1,2]=>([(2,7),(3,5),(4,6),(6,7)],8)
[8,5,4,6,7,3,1,2]=>([(2,7),(3,7),(4,5),(7,6)],8)
[7,6,5,4,8,3,1,2]=>([(1,7),(2,7),(3,7),(4,7),(5,6)],8)
[7,5,6,4,8,3,1,2]=>([(1,7),(2,7),(3,5),(4,6),(6,7)],8)
[6,5,7,4,8,3,1,2]=>([(1,7),(2,6),(3,6),(4,5),(6,7)],8)
[7,6,4,5,8,3,1,2]=>([(1,7),(2,7),(3,5),(4,6),(6,7)],8)
[6,7,4,5,8,3,1,2]=>([(1,6),(2,5),(3,4),(5,7),(6,7)],8)
[6,5,4,7,8,3,1,2]=>([(1,7),(2,7),(3,7),(4,5),(7,6)],8)
[5,6,4,7,8,3,1,2]=>([(1,7),(2,4),(3,5),(5,7),(7,6)],8)
[5,4,6,7,8,3,1,2]=>([(1,7),(2,7),(3,4),(5,6),(7,5)],8)
[4,5,6,7,8,3,1,2]=>([(1,7),(2,4),(5,6),(6,3),(7,5)],8)
[8,7,6,5,3,4,1,2]=>([(4,7),(5,6)],8)
[7,8,6,5,3,4,1,2]=>([(2,7),(3,6),(4,5)],8)
[7,6,8,5,3,4,1,2]=>([(1,7),(2,7),(3,6),(4,5)],8)
[6,7,8,5,3,4,1,2]=>([(1,5),(2,4),(3,6),(6,7)],8)
[8,7,5,6,3,4,1,2]=>([(2,7),(3,6),(4,5)],8)
[7,8,5,6,3,4,1,2]=>([(0,7),(1,6),(2,5),(3,4)],8)
[8,6,5,7,3,4,1,2]=>([(1,7),(2,7),(3,6),(4,5)],8)
[8,5,6,7,3,4,1,2]=>([(1,5),(2,4),(3,6),(6,7)],8)
[7,6,5,8,3,4,1,2]=>([(0,7),(1,7),(2,7),(3,6),(4,5)],8)
[6,7,5,8,3,4,1,2]=>([(0,7),(1,5),(2,4),(3,6),(6,7)],8)
[7,5,6,8,3,4,1,2]=>([(0,7),(1,5),(2,4),(3,6),(6,7)],8)
[6,5,7,8,3,4,1,2]=>([(0,7),(1,7),(2,5),(3,4),(7,6)],8)
[5,6,7,8,3,4,1,2]=>([(0,5),(1,4),(2,7),(6,3),(7,6)],8)
[6,7,8,4,3,5,1,2]=>([(0,7),(1,7),(2,4),(3,5),(5,6)],8)
[8,7,6,3,4,5,1,2]=>([(3,5),(4,6),(6,7)],8)
[7,8,6,3,4,5,1,2]=>([(1,5),(2,4),(3,6),(6,7)],8)
[8,6,7,3,4,5,1,2]=>([(1,5),(2,4),(3,6),(6,7)],8)
[7,8,5,4,3,6,1,2]=>([(0,7),(1,7),(2,7),(3,6),(4,5)],8)
[8,7,4,5,3,6,1,2]=>([(2,7),(3,5),(4,6),(6,7)],8)
[7,8,4,5,3,6,1,2]=>([(0,7),(1,5),(2,4),(3,6),(6,7)],8)
[7,8,5,3,4,6,1,2]=>([(0,7),(1,5),(2,4),(3,6),(6,7)],8)
[8,7,4,3,5,6,1,2]=>([(2,7),(3,7),(4,5),(7,6)],8)
[7,8,4,3,5,6,1,2]=>([(0,7),(1,7),(2,5),(3,4),(7,6)],8)
[8,7,3,4,5,6,1,2]=>([(2,4),(3,5),(5,6),(6,7)],8)
[7,8,3,4,5,6,1,2]=>([(0,5),(1,4),(2,7),(6,3),(7,6)],8)
[8,6,5,4,3,7,1,2]=>([(1,7),(2,7),(3,7),(4,7),(5,6)],8)
[8,5,4,6,3,7,1,2]=>([(1,7),(2,6),(3,6),(4,5),(6,7)],8)
[8,5,4,3,6,7,1,2]=>([(1,7),(2,7),(3,7),(4,5),(7,6)],8)
[8,5,3,4,6,7,1,2]=>([(1,7),(2,4),(3,5),(5,7),(7,6)],8)
[8,4,3,5,6,7,1,2]=>([(1,7),(2,7),(3,4),(5,6),(7,5)],8)
[8,3,4,5,6,7,1,2]=>([(1,7),(2,4),(5,6),(6,3),(7,5)],8)
[7,6,5,4,3,8,1,2]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6)],8)
[7,5,6,4,3,8,1,2]=>([(0,7),(1,7),(2,7),(3,5),(4,6),(6,7)],8)
[5,6,7,4,3,8,1,2]=>([(0,7),(1,7),(2,4),(3,5),(5,6),(6,7)],8)
[6,7,4,5,3,8,1,2]=>([(0,7),(1,6),(2,5),(3,4),(5,7),(6,7)],8)
[7,5,4,6,3,8,1,2]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(6,7)],8)
[6,5,4,7,3,8,1,2]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(7,6)],8)
[5,6,4,7,3,8,1,2]=>([(0,7),(1,6),(2,4),(3,5),(5,7),(7,6)],8)
[4,5,6,7,3,8,1,2]=>([(0,7),(1,6),(2,4),(3,7),(5,3),(6,5)],8)
[7,6,5,3,4,8,1,2]=>([(0,7),(1,7),(2,7),(3,5),(4,6),(6,7)],8)
[7,6,4,3,5,8,1,2]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(6,7)],8)
[7,6,3,4,5,8,1,2]=>([(0,7),(1,7),(2,4),(3,5),(5,6),(6,7)],8)
[7,5,4,3,6,8,1,2]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(7,6)],8)
[7,4,5,3,6,8,1,2]=>([(0,7),(1,6),(2,4),(3,5),(5,7),(7,6)],8)
[7,5,3,4,6,8,1,2]=>([(0,7),(1,6),(2,4),(3,5),(5,7),(7,6)],8)
[7,3,4,5,6,8,1,2]=>([(0,7),(1,6),(2,4),(3,7),(5,3),(6,5)],8)
[6,5,4,3,7,8,1,2]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(7,6)],8)
[5,6,4,3,7,8,1,2]=>([(0,7),(1,7),(2,4),(3,5),(5,7),(7,6)],8)
[5,4,6,3,7,8,1,2]=>([(0,7),(1,6),(2,6),(3,5),(6,7),(7,4)],8)
[4,5,6,3,7,8,1,2]=>([(0,7),(1,5),(2,6),(3,7),(6,3),(7,4)],8)
[5,6,3,4,7,8,1,2]=>([(0,6),(1,5),(2,4),(5,7),(6,7),(7,3)],8)
[6,4,3,5,7,8,1,2]=>([(0,7),(1,6),(2,6),(3,5),(6,7),(7,4)],8)
[6,3,4,5,7,8,1,2]=>([(0,7),(1,5),(2,6),(3,7),(6,3),(7,4)],8)
[5,4,3,6,7,8,1,2]=>([(0,7),(1,7),(2,7),(3,4),(5,6),(7,5)],8)
[4,5,3,6,7,8,1,2]=>([(0,7),(1,4),(2,5),(5,7),(6,3),(7,6)],8)
[5,3,4,6,7,8,1,2]=>([(0,7),(1,4),(2,5),(5,7),(6,3),(7,6)],8)
[4,3,5,6,7,8,1,2]=>([(0,7),(1,7),(2,4),(5,3),(6,5),(7,6)],8)
[3,4,5,6,7,8,1,2]=>([(0,7),(1,3),(4,6),(5,4),(6,2),(7,5)],8)
[8,7,6,5,4,2,1,3]=>([(5,7),(6,7)],8)
[7,8,6,5,4,2,1,3]=>([(3,7),(4,7),(5,6)],8)
[8,6,7,5,4,2,1,3]=>([(3,7),(4,7),(5,6)],8)
[7,6,8,5,4,2,1,3]=>([(2,7),(3,7),(4,6),(5,6)],8)
[6,7,8,5,4,2,1,3]=>([(2,7),(3,7),(4,5),(5,6)],8)
[8,7,5,6,4,2,1,3]=>([(3,7),(4,7),(5,6)],8)
[7,8,5,6,4,2,1,3]=>([(1,7),(2,7),(3,6),(4,5)],8)
[7,6,5,8,4,2,1,3]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[6,7,5,8,4,2,1,3]=>([(1,7),(2,6),(3,6),(4,5),(5,7)],8)
[7,5,6,8,4,2,1,3]=>([(1,7),(2,6),(3,6),(4,5),(5,7)],8)
[6,5,7,8,4,2,1,3]=>([(1,7),(2,7),(3,6),(4,6),(7,5)],8)
[5,6,7,8,4,2,1,3]=>([(1,4),(2,7),(3,7),(4,6),(6,5)],8)
[8,7,6,4,5,2,1,3]=>([(3,7),(4,7),(5,6)],8)
[7,6,8,4,5,2,1,3]=>([(0,7),(1,7),(2,6),(3,6),(4,5)],8)
[8,4,5,6,7,2,1,3]=>([(1,4),(2,7),(3,7),(4,6),(6,5)],8)
[7,6,5,4,8,2,1,3]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[6,7,5,4,8,2,1,3]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7)],8)
[6,5,7,4,8,2,1,3]=>([(0,7),(1,5),(2,5),(3,6),(4,6),(6,7)],8)
[5,6,7,4,8,2,1,3]=>([(0,6),(1,6),(2,7),(3,4),(4,5),(5,7)],8)
[7,6,4,5,8,2,1,3]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7)],8)
[7,4,5,6,8,2,1,3]=>([(0,6),(1,6),(2,7),(3,4),(4,5),(5,7)],8)
[5,4,6,7,8,2,1,3]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(7,4)],8)
[4,5,6,7,8,2,1,3]=>([(0,7),(1,7),(2,6),(4,5),(5,3),(6,4)],8)
[8,7,6,5,4,1,2,3]=>([(5,6),(6,7)],8)
[7,8,6,5,4,1,2,3]=>([(3,5),(4,6),(6,7)],8)
[7,6,8,5,4,1,2,3]=>([(2,7),(3,7),(4,5),(5,6)],8)
[6,7,8,5,4,1,2,3]=>([(2,5),(3,4),(4,6),(5,7)],8)
[7,8,5,6,4,1,2,3]=>([(1,5),(2,4),(3,6),(6,7)],8)
[8,6,5,7,4,1,2,3]=>([(2,7),(3,7),(4,5),(5,6)],8)
[8,5,6,7,4,1,2,3]=>([(2,5),(3,4),(4,6),(5,7)],8)
[7,6,5,8,4,1,2,3]=>([(1,7),(2,7),(3,7),(4,5),(5,6)],8)
[6,7,5,8,4,1,2,3]=>([(1,7),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,6,8,4,1,2,3]=>([(1,7),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,7,8,4,1,2,3]=>([(1,7),(2,7),(3,4),(4,6),(7,5)],8)
[5,6,7,8,4,1,2,3]=>([(1,6),(2,7),(5,4),(6,5),(7,3)],8)
[8,7,6,4,5,1,2,3]=>([(3,5),(4,6),(6,7)],8)
[8,6,7,4,5,1,2,3]=>([(1,5),(2,4),(3,6),(6,7)],8)
[6,7,8,4,5,1,2,3]=>([(0,5),(1,7),(2,6),(6,3),(7,4)],8)
[8,7,5,4,6,1,2,3]=>([(2,7),(3,7),(4,5),(5,6)],8)
[7,8,5,4,6,1,2,3]=>([(0,7),(1,7),(2,4),(3,5),(5,6)],8)
[8,7,4,5,6,1,2,3]=>([(2,5),(3,4),(4,6),(5,7)],8)
[7,8,4,5,6,1,2,3]=>([(0,5),(1,7),(2,6),(6,3),(7,4)],8)
[8,6,5,4,7,1,2,3]=>([(1,7),(2,7),(3,7),(4,5),(5,6)],8)
[8,5,6,4,7,1,2,3]=>([(1,7),(2,4),(3,5),(4,6),(5,7)],8)
[8,6,4,5,7,1,2,3]=>([(1,7),(2,4),(3,5),(4,6),(5,7)],8)
[8,5,4,6,7,1,2,3]=>([(1,7),(2,7),(3,4),(4,6),(7,5)],8)
[8,4,5,6,7,1,2,3]=>([(1,6),(2,7),(5,4),(6,5),(7,3)],8)
[7,6,5,4,8,1,2,3]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6)],8)
[6,7,5,4,8,1,2,3]=>([(0,7),(1,7),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,7,4,8,1,2,3]=>([(0,7),(1,6),(2,6),(3,4),(4,5),(6,7)],8)
[5,6,7,4,8,1,2,3]=>([(0,7),(1,5),(2,6),(4,7),(5,3),(6,4)],8)
[6,7,4,5,8,1,2,3]=>([(0,5),(1,4),(2,6),(4,7),(5,7),(6,3)],8)
[7,5,4,6,8,1,2,3]=>([(0,7),(1,6),(2,6),(3,4),(4,5),(6,7)],8)
[6,5,4,7,8,1,2,3]=>([(0,7),(1,7),(2,7),(3,4),(4,6),(7,5)],8)
[5,6,4,7,8,1,2,3]=>([(0,7),(1,5),(2,6),(5,7),(6,3),(7,4)],8)
[5,4,6,7,8,1,2,3]=>([(0,7),(1,7),(2,5),(5,4),(6,3),(7,6)],8)
[4,5,6,7,8,1,2,3]=>([(0,7),(1,6),(4,5),(5,3),(6,4),(7,2)],8)
[8,7,6,5,3,2,1,4]=>([(4,7),(5,7),(6,7)],8)
[7,8,6,5,3,2,1,4]=>([(2,7),(3,7),(4,7),(5,6)],8)
[8,6,7,5,3,2,1,4]=>([(2,7),(3,7),(4,7),(5,6)],8)
[7,6,8,5,3,2,1,4]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[6,7,8,5,3,2,1,4]=>([(1,7),(2,7),(3,7),(4,5),(5,6)],8)
[8,7,5,6,3,2,1,4]=>([(2,7),(3,7),(4,7),(5,6)],8)
[7,8,5,6,3,2,1,4]=>([(0,7),(1,7),(2,7),(3,6),(4,5)],8)
[8,6,5,7,3,2,1,4]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[8,5,6,7,3,2,1,4]=>([(1,7),(2,7),(3,7),(4,5),(5,6)],8)
[7,6,5,8,3,2,1,4]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8)
[6,7,5,8,3,2,1,4]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6)],8)
[7,5,6,8,3,2,1,4]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6)],8)
[6,5,7,8,3,2,1,4]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(6,5)],8)
[5,6,7,8,3,2,1,4]=>([(0,4),(1,7),(2,7),(3,7),(4,6),(6,5)],8)
[8,7,6,5,2,3,1,4]=>([(4,7),(5,6),(6,7)],8)
[7,8,6,5,2,3,1,4]=>([(2,7),(3,5),(4,6),(6,7)],8)
[8,6,7,5,2,3,1,4]=>([(2,7),(3,5),(4,6),(6,7)],8)
[7,6,8,5,2,3,1,4]=>([(1,7),(2,6),(3,6),(4,5),(5,7)],8)
[6,7,8,5,2,3,1,4]=>([(1,7),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,5,6,2,3,1,4]=>([(2,7),(3,5),(4,6),(6,7)],8)
[7,8,5,6,2,3,1,4]=>([(0,7),(1,5),(2,4),(3,6),(6,7)],8)
[8,6,5,7,2,3,1,4]=>([(1,7),(2,6),(3,6),(4,5),(5,7)],8)
[8,5,6,7,2,3,1,4]=>([(1,7),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,5,8,2,3,1,4]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6)],8)
[6,7,5,8,2,3,1,4]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,6,8,2,3,1,4]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,7,8,2,3,1,4]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(6,5)],8)
[5,6,7,8,2,3,1,4]=>([(0,7),(1,6),(2,4),(4,7),(5,3),(6,5)],8)
[8,7,6,5,3,1,2,4]=>([(4,7),(5,6),(6,7)],8)
[7,8,6,5,3,1,2,4]=>([(2,7),(3,5),(4,6),(6,7)],8)
[8,6,7,5,3,1,2,4]=>([(2,7),(3,5),(4,6),(6,7)],8)
[7,6,8,5,3,1,2,4]=>([(1,7),(2,6),(3,6),(4,5),(5,7)],8)
[8,7,5,6,3,1,2,4]=>([(2,7),(3,5),(4,6),(6,7)],8)
[7,8,5,6,3,1,2,4]=>([(0,7),(1,5),(2,4),(3,6),(6,7)],8)
[8,6,5,7,3,1,2,4]=>([(1,7),(2,6),(3,6),(4,5),(5,7)],8)
[7,6,5,8,3,1,2,4]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6)],8)
[6,7,5,8,3,1,2,4]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,6,8,3,1,2,4]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,7,8,3,1,2,4]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(6,5)],8)
[5,6,7,8,3,1,2,4]=>([(0,7),(1,6),(2,4),(4,7),(5,3),(6,5)],8)
[8,7,6,5,2,1,3,4]=>([(4,7),(5,7),(7,6)],8)
[7,8,6,5,2,1,3,4]=>([(2,7),(3,7),(4,5),(7,6)],8)
[7,6,8,5,2,1,3,4]=>([(1,7),(2,7),(3,6),(4,6),(7,5)],8)
[6,7,8,5,2,1,3,4]=>([(1,7),(2,7),(3,4),(4,6),(7,5)],8)
[8,7,5,6,2,1,3,4]=>([(2,7),(3,7),(4,5),(7,6)],8)
[7,8,5,6,2,1,3,4]=>([(0,7),(1,7),(2,5),(3,4),(7,6)],8)
[8,6,5,7,2,1,3,4]=>([(1,7),(2,7),(3,6),(4,6),(7,5)],8)
[8,5,6,7,2,1,3,4]=>([(1,7),(2,7),(3,4),(4,6),(7,5)],8)
[7,6,5,8,2,1,3,4]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(6,5)],8)
[6,7,5,8,2,1,3,4]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(6,5)],8)
[7,5,6,8,2,1,3,4]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(6,5)],8)
[6,5,7,8,2,1,3,4]=>([(0,6),(1,6),(2,7),(3,7),(6,5),(7,4)],8)
[5,6,7,8,2,1,3,4]=>([(0,7),(1,7),(2,6),(5,3),(6,5),(7,4)],8)
[8,7,6,5,1,2,3,4]=>([(4,5),(5,7),(7,6)],8)
[7,8,6,5,1,2,3,4]=>([(2,4),(3,5),(5,6),(6,7)],8)
[8,6,7,5,1,2,3,4]=>([(2,4),(3,5),(5,6),(6,7)],8)
[7,6,8,5,1,2,3,4]=>([(1,4),(2,7),(3,7),(4,6),(6,5)],8)
[6,7,8,5,1,2,3,4]=>([(1,6),(2,7),(5,4),(6,5),(7,3)],8)
[8,7,5,6,1,2,3,4]=>([(2,4),(3,5),(5,6),(6,7)],8)
[7,8,5,6,1,2,3,4]=>([(0,5),(1,4),(2,7),(6,3),(7,6)],8)
[8,6,5,7,1,2,3,4]=>([(1,4),(2,7),(3,7),(4,6),(6,5)],8)
[8,5,6,7,1,2,3,4]=>([(1,6),(2,7),(5,4),(6,5),(7,3)],8)
[7,6,5,8,1,2,3,4]=>([(0,4),(1,7),(2,7),(3,7),(4,6),(6,5)],8)
[6,7,5,8,1,2,3,4]=>([(0,7),(1,6),(2,4),(4,7),(5,3),(6,5)],8)
[7,5,6,8,1,2,3,4]=>([(0,7),(1,6),(2,4),(4,7),(5,3),(6,5)],8)
[6,5,7,8,1,2,3,4]=>([(0,7),(1,7),(2,6),(5,3),(6,5),(7,4)],8)
[5,6,7,8,1,2,3,4]=>([(0,7),(1,6),(4,2),(5,3),(6,4),(7,5)],8)
[8,7,6,4,3,2,1,5]=>([(3,7),(4,7),(5,7),(6,7)],8)
[7,8,6,4,3,2,1,5]=>([(1,7),(2,7),(3,7),(4,7),(5,6)],8)
[8,6,7,4,3,2,1,5]=>([(1,7),(2,7),(3,7),(4,7),(5,6)],8)
[7,6,8,4,3,2,1,5]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[6,7,8,4,3,2,1,5]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6)],8)
[8,7,6,3,4,2,1,5]=>([(3,7),(4,7),(5,6),(6,7)],8)
[7,8,6,3,4,2,1,5]=>([(1,7),(2,7),(3,5),(4,6),(6,7)],8)
[6,7,8,3,4,2,1,5]=>([(0,7),(1,7),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,6,4,2,3,1,5]=>([(3,7),(4,7),(5,6),(6,7)],8)
[7,6,8,4,2,3,1,5]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7)],8)
[6,7,8,4,2,3,1,5]=>([(0,7),(1,7),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,6,3,2,4,1,5]=>([(3,7),(4,6),(5,6),(6,7)],8)
[8,6,7,3,2,4,1,5]=>([(1,7),(2,6),(3,6),(4,5),(6,7)],8)
[6,7,8,3,2,4,1,5]=>([(0,7),(1,6),(2,6),(3,4),(4,5),(6,7)],8)
[8,7,6,2,3,4,1,5]=>([(3,7),(4,5),(5,6),(6,7)],8)
[8,6,7,2,3,4,1,5]=>([(1,7),(2,4),(3,5),(5,6),(6,7)],8)
[7,6,8,2,3,4,1,5]=>([(0,6),(1,6),(2,7),(3,4),(4,5),(5,7)],8)
[6,7,8,2,3,4,1,5]=>([(0,7),(1,5),(2,6),(4,7),(5,3),(6,4)],8)
[8,7,6,4,3,1,2,5]=>([(3,7),(4,7),(5,6),(6,7)],8)
[6,7,8,4,3,1,2,5]=>([(0,7),(1,7),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,6,3,4,1,2,5]=>([(3,6),(4,5),(5,7),(6,7)],8)
[7,8,6,3,4,1,2,5]=>([(1,6),(2,5),(3,4),(5,7),(6,7)],8)
[8,6,7,3,4,1,2,5]=>([(1,6),(2,5),(3,4),(5,7),(6,7)],8)
[6,7,8,3,4,1,2,5]=>([(0,5),(1,4),(2,6),(4,7),(5,7),(6,3)],8)
[8,7,6,4,2,1,3,5]=>([(3,7),(4,6),(5,6),(6,7)],8)
[7,8,6,4,2,1,3,5]=>([(1,7),(2,6),(3,6),(4,5),(6,7)],8)
[8,6,7,4,2,1,3,5]=>([(1,7),(2,6),(3,6),(4,5),(6,7)],8)
[6,7,8,4,2,1,3,5]=>([(0,7),(1,6),(2,6),(3,4),(4,5),(6,7)],8)
[8,7,6,4,1,2,3,5]=>([(3,7),(4,5),(5,6),(6,7)],8)
[7,8,6,4,1,2,3,5]=>([(1,7),(2,4),(3,5),(5,6),(6,7)],8)
[7,6,8,4,1,2,3,5]=>([(0,6),(1,6),(2,7),(3,4),(4,5),(5,7)],8)
[6,7,8,4,1,2,3,5]=>([(0,7),(1,5),(2,6),(4,7),(5,3),(6,4)],8)
[8,7,6,3,2,1,4,5]=>([(3,7),(4,7),(5,7),(7,6)],8)
[7,8,6,3,2,1,4,5]=>([(1,7),(2,7),(3,7),(4,5),(7,6)],8)
[8,6,7,3,2,1,4,5]=>([(1,7),(2,7),(3,7),(4,5),(7,6)],8)
[7,6,8,3,2,1,4,5]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(7,5)],8)
[6,7,8,3,2,1,4,5]=>([(0,7),(1,7),(2,7),(3,4),(4,6),(7,5)],8)
[8,7,6,2,3,1,4,5]=>([(3,7),(4,5),(5,7),(7,6)],8)
[7,8,6,2,3,1,4,5]=>([(1,7),(2,4),(3,5),(5,7),(7,6)],8)
[8,6,7,2,3,1,4,5]=>([(1,7),(2,4),(3,5),(5,7),(7,6)],8)
[7,6,8,2,3,1,4,5]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(7,5)],8)
[6,7,8,2,3,1,4,5]=>([(0,7),(1,5),(2,6),(5,7),(6,3),(7,4)],8)
[8,7,6,3,1,2,4,5]=>([(3,7),(4,5),(5,7),(7,6)],8)
[7,8,6,3,1,2,4,5]=>([(1,7),(2,4),(3,5),(5,7),(7,6)],8)
[8,6,7,3,1,2,4,5]=>([(1,7),(2,4),(3,5),(5,7),(7,6)],8)
[7,6,8,3,1,2,4,5]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(7,5)],8)
[6,7,8,3,1,2,4,5]=>([(0,7),(1,5),(2,6),(5,7),(6,3),(7,4)],8)
[8,7,6,2,1,3,4,5]=>([(3,7),(4,7),(5,6),(7,5)],8)
[7,8,6,2,1,3,4,5]=>([(1,7),(2,7),(3,4),(5,6),(7,5)],8)
[8,6,7,2,1,3,4,5]=>([(1,7),(2,7),(3,4),(5,6),(7,5)],8)
[6,7,8,2,1,3,4,5]=>([(0,7),(1,7),(2,5),(5,4),(6,3),(7,6)],8)
[8,7,6,1,2,3,4,5]=>([(3,4),(4,7),(6,5),(7,6)],8)
[7,8,6,1,2,3,4,5]=>([(1,7),(2,4),(5,6),(6,3),(7,5)],8)
[8,6,7,1,2,3,4,5]=>([(1,7),(2,4),(5,6),(6,3),(7,5)],8)
[7,6,8,1,2,3,4,5]=>([(0,7),(1,7),(2,6),(4,5),(5,3),(6,4)],8)
[6,7,8,1,2,3,4,5]=>([(0,7),(1,6),(4,5),(5,3),(6,4),(7,2)],8)
[8,7,5,4,3,2,1,6]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,8,5,4,3,2,1,6]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6)],8)
[8,7,4,5,3,2,1,6]=>([(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[7,8,4,5,3,2,1,6]=>([(0,7),(1,7),(2,7),(3,5),(4,6),(6,7)],8)
[8,7,5,3,4,2,1,6]=>([(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[8,7,3,4,5,2,1,6]=>([(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[7,8,3,4,5,2,1,6]=>([(0,7),(1,7),(2,4),(3,5),(5,6),(6,7)],8)
[8,7,4,5,2,3,1,6]=>([(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[7,8,4,5,2,3,1,6]=>([(0,7),(1,6),(2,5),(3,4),(5,7),(6,7)],8)
[8,7,5,3,2,4,1,6]=>([(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[7,8,5,2,3,4,1,6]=>([(0,7),(1,7),(2,4),(3,5),(5,6),(6,7)],8)
[8,7,4,3,2,5,1,6]=>([(2,7),(3,7),(4,7),(5,6),(7,6)],8)
[7,8,4,3,2,5,1,6]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(7,6)],8)
[8,7,3,4,2,5,1,6]=>([(2,7),(3,6),(4,5),(5,7),(7,6)],8)
[7,8,3,4,2,5,1,6]=>([(0,7),(1,6),(2,4),(3,5),(5,7),(7,6)],8)
[8,7,2,3,4,5,1,6]=>([(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[7,8,2,3,4,5,1,6]=>([(0,7),(1,6),(2,4),(3,7),(5,3),(6,5)],8)
[8,7,5,4,3,1,2,6]=>([(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[7,8,5,4,3,1,2,6]=>([(0,7),(1,7),(2,7),(3,5),(4,6),(6,7)],8)
[8,7,5,3,4,1,2,6]=>([(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[8,7,3,4,5,1,2,6]=>([(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,3,4,5,1,2,6]=>([(0,4),(1,5),(2,6),(3,7),(5,7),(6,3)],8)
[7,8,5,4,2,1,3,6]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(6,7)],8)
[8,7,5,4,1,2,3,6]=>([(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[7,8,5,4,1,2,3,6]=>([(0,7),(1,7),(2,4),(3,5),(5,6),(6,7)],8)
[8,7,4,5,1,2,3,6]=>([(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,4,5,1,2,3,6]=>([(0,4),(1,5),(2,6),(3,7),(5,7),(6,3)],8)
[8,7,5,3,2,1,4,6]=>([(2,7),(3,7),(4,7),(5,6),(7,6)],8)
[7,8,5,3,2,1,4,6]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(7,6)],8)
[8,7,5,3,1,2,4,6]=>([(2,7),(3,6),(4,5),(5,7),(7,6)],8)
[7,8,5,3,1,2,4,6]=>([(0,7),(1,6),(2,4),(3,5),(5,7),(7,6)],8)
[8,7,5,2,1,3,4,6]=>([(2,7),(3,6),(4,6),(5,7),(6,5)],8)
[7,8,5,2,1,3,4,6]=>([(0,7),(1,6),(2,6),(3,4),(5,7),(6,5)],8)
[8,7,5,1,2,3,4,6]=>([(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[7,8,5,1,2,3,4,6]=>([(0,7),(1,6),(2,4),(3,7),(5,3),(6,5)],8)
[8,7,4,3,2,1,5,6]=>([(2,7),(3,7),(4,7),(5,7),(7,6)],8)
[7,8,4,3,2,1,5,6]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(7,6)],8)
[8,7,3,4,2,1,5,6]=>([(2,7),(3,7),(4,5),(5,7),(7,6)],8)
[7,8,3,4,2,1,5,6]=>([(0,7),(1,7),(2,4),(3,5),(5,7),(7,6)],8)
[7,8,4,2,3,1,5,6]=>([(0,7),(1,7),(2,4),(3,5),(5,7),(7,6)],8)
[8,7,3,2,4,1,5,6]=>([(2,7),(3,6),(4,6),(6,7),(7,5)],8)
[7,8,3,2,4,1,5,6]=>([(0,7),(1,6),(2,6),(3,5),(6,7),(7,4)],8)
[8,7,2,3,4,1,5,6]=>([(2,7),(3,4),(4,6),(6,7),(7,5)],8)
[7,8,2,3,4,1,5,6]=>([(0,7),(1,5),(2,6),(3,7),(6,3),(7,4)],8)
[7,8,4,3,1,2,5,6]=>([(0,7),(1,7),(2,4),(3,5),(5,7),(7,6)],8)
[8,7,3,4,1,2,5,6]=>([(2,5),(3,4),(4,7),(5,7),(7,6)],8)
[7,8,3,4,1,2,5,6]=>([(0,6),(1,5),(2,4),(5,7),(6,7),(7,3)],8)
[8,7,4,2,1,3,5,6]=>([(2,7),(3,6),(4,6),(6,7),(7,5)],8)
[7,8,4,2,1,3,5,6]=>([(0,7),(1,6),(2,6),(3,5),(6,7),(7,4)],8)
[8,7,4,1,2,3,5,6]=>([(2,7),(3,4),(4,6),(6,7),(7,5)],8)
[7,8,4,1,2,3,5,6]=>([(0,7),(1,5),(2,6),(3,7),(6,3),(7,4)],8)
[8,7,3,2,1,4,5,6]=>([(2,7),(3,7),(4,7),(5,6),(7,5)],8)
[7,8,3,2,1,4,5,6]=>([(0,7),(1,7),(2,7),(3,4),(5,6),(7,5)],8)
[8,7,2,3,1,4,5,6]=>([(2,7),(3,4),(4,7),(5,6),(7,5)],8)
[7,8,2,3,1,4,5,6]=>([(0,7),(1,4),(2,5),(5,7),(6,3),(7,6)],8)
[7,8,3,1,2,4,5,6]=>([(0,7),(1,4),(2,5),(5,7),(6,3),(7,6)],8)
[8,7,2,1,3,4,5,6]=>([(2,7),(3,7),(4,6),(6,5),(7,4)],8)
[7,8,2,1,3,4,5,6]=>([(0,7),(1,7),(2,4),(5,3),(6,5),(7,6)],8)
[8,7,1,2,3,4,5,6]=>([(2,7),(4,6),(5,4),(6,3),(7,5)],8)
[7,8,1,2,3,4,5,6]=>([(0,7),(1,3),(4,6),(5,4),(6,2),(7,5)],8)
[8,6,5,4,3,2,1,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,5,6,4,3,2,1,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[8,6,4,5,3,2,1,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[8,4,5,6,3,2,1,7]=>([(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[8,6,5,3,4,2,1,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[8,5,6,3,4,2,1,7]=>([(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[8,4,5,3,6,2,1,7]=>([(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[8,4,3,5,6,2,1,7]=>([(1,7),(2,7),(3,6),(4,6),(5,7),(6,5)],8)
[8,3,4,5,6,2,1,7]=>([(1,4),(2,7),(3,7),(4,6),(5,7),(6,5)],8)
[8,6,5,4,2,3,1,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[8,5,6,4,2,3,1,7]=>([(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[8,4,5,6,2,3,1,7]=>([(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,5,3,2,4,1,7]=>([(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[8,6,5,2,3,4,1,7]=>([(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[8,5,6,2,3,4,1,7]=>([(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,4,2,3,5,1,7]=>([(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[8,6,3,2,4,5,1,7]=>([(1,7),(2,7),(3,6),(4,6),(5,7),(6,5)],8)
[8,5,4,3,2,6,1,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)
[8,4,3,5,2,6,1,7]=>([(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)
[8,5,4,2,3,6,1,7]=>([(1,7),(2,7),(3,6),(4,5),(5,7),(7,6)],8)
[8,4,5,2,3,6,1,7]=>([(1,6),(2,5),(3,4),(4,7),(5,7),(7,6)],8)
[8,5,3,2,4,6,1,7]=>([(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)
[8,5,2,3,4,6,1,7]=>([(1,7),(2,6),(3,4),(4,5),(5,6),(6,7)],8)
[8,3,4,2,5,6,1,7]=>([(1,7),(2,6),(3,4),(4,7),(5,6),(7,5)],8)
[8,3,2,4,5,6,1,7]=>([(1,7),(2,7),(3,6),(4,5),(5,6),(7,4)],8)
[8,2,3,4,5,6,1,7]=>([(1,7),(2,6),(3,7),(4,5),(5,3),(6,4)],8)
[8,6,5,4,3,1,2,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[8,6,4,5,3,1,2,7]=>([(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[8,6,5,3,4,1,2,7]=>([(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[8,5,6,3,4,1,2,7]=>([(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,6,3,4,5,1,2,7]=>([(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,4,3,6,1,2,7]=>([(1,7),(2,7),(3,7),(4,5),(5,6),(7,6)],8)
[8,4,5,3,6,1,2,7]=>([(1,6),(2,4),(3,5),(4,7),(5,6),(6,7)],8)
[8,5,3,4,6,1,2,7]=>([(1,6),(2,4),(3,5),(4,7),(5,6),(6,7)],8)
[8,4,3,5,6,1,2,7]=>([(1,6),(2,6),(3,4),(4,7),(5,7),(6,5)],8)
[8,3,4,5,6,1,2,7]=>([(1,6),(2,4),(3,7),(4,7),(5,3),(6,5)],8)
[8,6,5,4,2,1,3,7]=>([(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[8,5,6,4,2,1,3,7]=>([(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[8,4,5,6,2,1,3,7]=>([(1,6),(2,6),(3,4),(4,5),(5,7),(6,7)],8)
[8,6,5,4,1,2,3,7]=>([(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[8,5,6,4,1,2,3,7]=>([(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,4,5,1,2,3,7]=>([(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,5,6,1,2,3,7]=>([(1,6),(2,5),(3,7),(4,7),(5,3),(6,4)],8)
[8,6,5,3,2,1,4,7]=>([(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)
[8,5,6,3,2,1,4,7]=>([(1,7),(2,7),(3,7),(4,5),(5,6),(7,6)],8)
[8,6,5,2,3,1,4,7]=>([(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[8,5,6,2,3,1,4,7]=>([(1,6),(2,4),(3,5),(4,7),(5,6),(6,7)],8)
[8,5,6,3,1,2,4,7]=>([(1,6),(2,4),(3,5),(4,7),(5,6),(6,7)],8)
[8,6,5,2,1,3,4,7]=>([(1,7),(2,7),(3,6),(4,6),(5,7),(6,5)],8)
[8,5,6,2,1,3,4,7]=>([(1,6),(2,6),(3,4),(4,7),(5,7),(6,5)],8)
[8,6,5,1,2,3,4,7]=>([(1,4),(2,7),(3,7),(4,6),(5,7),(6,5)],8)
[8,5,6,1,2,3,4,7]=>([(1,6),(2,4),(3,7),(4,7),(5,3),(6,5)],8)
[8,6,4,3,2,1,5,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)
[8,6,3,4,2,1,5,7]=>([(1,7),(2,7),(3,6),(4,5),(5,7),(7,6)],8)
[8,6,4,2,3,1,5,7]=>([(1,7),(2,7),(3,6),(4,5),(5,7),(7,6)],8)
[8,6,3,2,4,1,5,7]=>([(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)
[8,6,2,3,4,1,5,7]=>([(1,7),(2,6),(3,4),(4,5),(5,6),(6,7)],8)
[8,6,4,3,1,2,5,7]=>([(1,7),(2,7),(3,6),(4,5),(5,7),(7,6)],8)
[8,6,3,4,1,2,5,7]=>([(1,6),(2,5),(3,4),(4,7),(5,7),(7,6)],8)
[8,6,4,2,1,3,5,7]=>([(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)
[8,6,4,1,2,3,5,7]=>([(1,7),(2,6),(3,4),(4,5),(5,6),(6,7)],8)
[8,6,3,2,1,4,5,7]=>([(1,7),(2,7),(3,7),(4,6),(5,6),(7,5)],8)
[8,6,1,2,3,4,5,7]=>([(1,7),(2,6),(3,7),(4,5),(5,3),(6,4)],8)
[8,5,4,3,2,1,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(7,6)],8)
[8,4,5,3,2,1,6,7]=>([(1,7),(2,7),(3,7),(4,5),(5,7),(7,6)],8)
[8,4,3,5,2,1,6,7]=>([(1,7),(2,7),(3,6),(4,6),(6,7),(7,5)],8)
[8,3,4,5,2,1,6,7]=>([(1,7),(2,7),(3,4),(4,6),(6,7),(7,5)],8)
[8,4,5,2,3,1,6,7]=>([(1,7),(2,5),(3,4),(4,7),(5,7),(7,6)],8)
[8,5,2,3,4,1,6,7]=>([(1,7),(2,7),(3,4),(4,6),(6,7),(7,5)],8)
[8,4,2,3,5,1,6,7]=>([(1,7),(2,6),(3,4),(4,7),(6,5),(7,6)],8)
[8,2,3,4,5,1,6,7]=>([(1,7),(2,6),(3,7),(5,3),(6,5),(7,4)],8)
[8,5,3,4,1,2,6,7]=>([(1,7),(2,5),(3,4),(4,7),(5,7),(7,6)],8)
[8,3,4,5,1,2,6,7]=>([(1,5),(2,6),(3,7),(5,7),(6,3),(7,4)],8)
[8,5,4,2,1,3,6,7]=>([(1,7),(2,7),(3,6),(4,6),(6,7),(7,5)],8)
[8,5,4,1,2,3,6,7]=>([(1,7),(2,7),(3,4),(4,6),(6,7),(7,5)],8)
[8,4,5,1,2,3,6,7]=>([(1,5),(2,6),(3,7),(5,7),(6,3),(7,4)],8)
[8,5,3,2,1,4,6,7]=>([(1,7),(2,7),(3,7),(4,6),(6,5),(7,6)],8)
[8,5,3,1,2,4,6,7]=>([(1,7),(2,6),(3,4),(4,7),(6,5),(7,6)],8)
[8,5,2,1,3,4,6,7]=>([(1,7),(2,6),(3,6),(5,7),(6,5),(7,4)],8)
[8,5,1,2,3,4,6,7]=>([(1,7),(2,6),(3,7),(5,3),(6,5),(7,4)],8)
[8,4,3,2,1,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(7,5)],8)
[8,3,4,2,1,5,6,7]=>([(1,7),(2,7),(3,4),(4,7),(5,6),(7,5)],8)
[8,4,2,3,1,5,6,7]=>([(1,7),(2,7),(3,4),(4,7),(5,6),(7,5)],8)
[8,2,3,4,1,5,6,7]=>([(1,7),(2,5),(4,7),(5,4),(6,3),(7,6)],8)
[8,3,4,1,2,5,6,7]=>([(1,5),(2,4),(4,7),(5,7),(6,3),(7,6)],8)
[8,4,2,1,3,5,6,7]=>([(1,7),(2,6),(3,6),(4,5),(6,7),(7,4)],8)
[8,4,1,2,3,5,6,7]=>([(1,7),(2,5),(4,7),(5,4),(6,3),(7,6)],8)
[8,3,2,1,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(6,5),(7,4)],8)
[8,2,3,1,4,5,6,7]=>([(1,7),(2,4),(4,7),(5,3),(6,5),(7,6)],8)
[8,3,1,2,4,5,6,7]=>([(1,7),(2,4),(4,7),(5,3),(6,5),(7,6)],8)
[8,2,1,3,4,5,6,7]=>([(1,7),(2,7),(4,5),(5,3),(6,4),(7,6)],8)
[8,1,2,3,4,5,6,7]=>([(1,7),(3,4),(4,6),(5,3),(6,2),(7,5)],8)
[7,6,5,4,3,2,1,8]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,7,5,4,3,2,1,8]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[7,5,6,4,3,2,1,8]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[6,5,7,4,3,2,1,8]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[5,6,7,4,3,2,1,8]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[7,6,4,5,3,2,1,8]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[6,7,4,5,3,2,1,8]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[7,5,4,6,3,2,1,8]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[7,4,5,6,3,2,1,8]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[6,5,4,7,3,2,1,8]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)
[5,6,4,7,3,2,1,8]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[5,4,6,7,3,2,1,8]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,7),(6,5)],8)
[4,5,6,7,3,2,1,8]=>([(0,4),(1,7),(2,7),(3,7),(4,6),(5,7),(6,5)],8)
[7,6,5,3,4,2,1,8]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[6,7,5,3,4,2,1,8]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[7,5,6,3,4,2,1,8]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[6,5,7,3,4,2,1,8]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[5,6,7,3,4,2,1,8]=>([(0,7),(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,6,4,3,5,2,1,8]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[6,7,4,3,5,2,1,8]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[7,6,3,4,5,2,1,8]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[7,5,4,3,6,2,1,8]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)
[7,3,4,5,6,2,1,8]=>([(0,4),(1,7),(2,7),(3,7),(4,6),(5,7),(6,5)],8)
[6,5,4,3,7,2,1,8]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(7,6)],8)
[5,6,4,3,7,2,1,8]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(7,6)],8)
[5,4,6,3,7,2,1,8]=>([(0,6),(1,7),(2,7),(3,5),(4,5),(5,6),(6,7)],8)
[5,4,3,6,7,2,1,8]=>([(0,7),(1,7),(2,6),(3,6),(4,6),(5,7),(6,5)],8)
[3,4,5,6,7,2,1,8]=>([(0,7),(1,7),(2,6),(3,7),(4,5),(5,3),(6,4)],8)
[7,6,5,4,2,3,1,8]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[6,7,5,4,2,3,1,8]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[7,5,6,4,2,3,1,8]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[5,6,7,4,2,3,1,8]=>([(0,7),(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,6,4,5,2,3,1,8]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[6,7,4,5,2,3,1,8]=>([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,5,4,6,2,3,1,8]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[6,5,4,7,2,3,1,8]=>([(0,7),(1,6),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[5,6,4,7,2,3,1,8]=>([(0,7),(1,6),(2,4),(3,5),(4,7),(5,6),(6,7)],8)
[5,4,6,7,2,3,1,8]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,7),(6,5)],8)
[4,5,6,7,2,3,1,8]=>([(0,7),(1,6),(2,4),(3,7),(4,7),(5,3),(6,5)],8)
[7,6,5,3,2,4,1,8]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[6,5,7,3,2,4,1,8]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8)
[5,6,7,3,2,4,1,8]=>([(0,7),(1,6),(2,6),(3,4),(4,5),(5,7),(6,7)],8)
[7,6,5,2,3,4,1,8]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[6,7,5,2,3,4,1,8]=>([(0,7),(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,6,2,3,4,1,8]=>([(0,7),(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,5,7,2,3,4,1,8]=>([(0,7),(1,6),(2,6),(3,4),(4,5),(5,7),(6,7)],8)
[5,6,7,2,3,4,1,8]=>([(0,7),(1,6),(2,5),(3,7),(4,7),(5,3),(6,4)],8)
[7,6,4,3,2,5,1,8]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)
[6,7,4,3,2,5,1,8]=>([(0,7),(1,6),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[6,7,3,4,2,5,1,8]=>([(0,7),(1,6),(2,4),(3,5),(4,7),(5,6),(6,7)],8)
[7,6,4,2,3,5,1,8]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[6,7,4,2,3,5,1,8]=>([(0,7),(1,6),(2,4),(3,5),(4,7),(5,6),(6,7)],8)
[7,6,3,2,4,5,1,8]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,7),(6,5)],8)
[6,7,3,2,4,5,1,8]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,7),(6,5)],8)
[7,6,2,3,4,5,1,8]=>([(0,4),(1,7),(2,7),(3,7),(4,6),(5,7),(6,5)],8)
[6,7,2,3,4,5,1,8]=>([(0,7),(1,6),(2,4),(3,7),(4,7),(5,3),(6,5)],8)
[7,5,4,3,2,6,1,8]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(7,6)],8)
[7,4,5,3,2,6,1,8]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(7,6)],8)
[7,5,3,4,2,6,1,8]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(7,6)],8)
[7,4,3,5,2,6,1,8]=>([(0,6),(1,7),(2,7),(3,5),(4,5),(5,6),(6,7)],8)
[7,4,5,2,3,6,1,8]=>([(0,7),(1,7),(2,5),(3,4),(4,6),(5,6),(6,7)],8)
[7,5,3,2,4,6,1,8]=>([(0,6),(1,7),(2,7),(3,5),(4,5),(5,6),(6,7)],8)
[7,4,2,3,5,6,1,8]=>([(0,7),(1,7),(2,6),(3,4),(4,6),(5,7),(6,5)],8)
[7,2,3,4,5,6,1,8]=>([(0,7),(1,7),(2,6),(3,7),(4,5),(5,3),(6,4)],8)
[6,5,4,3,2,7,1,8]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)
[5,6,4,3,2,7,1,8]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(7,6)],8)
[5,4,6,3,2,7,1,8]=>([(0,7),(1,7),(2,5),(3,5),(4,6),(5,7),(7,6)],8)
[5,6,3,4,2,7,1,8]=>([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(7,6)],8)
[6,3,4,5,2,7,1,8]=>([(0,7),(1,7),(2,6),(3,4),(4,5),(5,7),(7,6)],8)
[5,4,3,6,2,7,1,8]=>([(0,6),(1,7),(2,7),(3,7),(4,5),(5,6),(7,5)],8)
[4,5,3,6,2,7,1,8]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[5,3,4,6,2,7,1,8]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[4,3,5,6,2,7,1,8]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[3,4,5,6,2,7,1,8]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[5,4,6,2,3,7,1,8]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[6,5,3,2,4,7,1,8]=>([(0,7),(1,7),(2,5),(3,5),(4,6),(5,7),(7,6)],8)
[6,4,2,3,5,7,1,8]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[6,3,2,4,5,7,1,8]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[6,2,3,4,5,7,1,8]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[5,4,3,2,6,7,1,8]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(7,5)],8)
[5,4,2,3,6,7,1,8]=>([(0,7),(1,7),(2,6),(3,4),(4,7),(5,6),(7,5)],8)
[4,5,2,3,6,7,1,8]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[5,2,3,4,6,7,1,8]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[4,3,2,5,6,7,1,8]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(7,4)],8)
[3,4,2,5,6,7,1,8]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[4,2,3,5,6,7,1,8]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[3,2,4,5,6,7,1,8]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[2,3,4,5,6,7,1,8]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[7,6,5,4,3,1,2,8]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[6,7,5,4,3,1,2,8]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[7,5,6,4,3,1,2,8]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[7,6,4,5,3,1,2,8]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[5,4,6,7,3,1,2,8]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,7),(6,5)],8)
[4,5,6,7,3,1,2,8]=>([(0,7),(1,6),(2,4),(3,7),(4,7),(5,3),(6,5)],8)
[7,6,5,3,4,1,2,8]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[6,5,7,3,4,1,2,8]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,7,3,4,5,1,2,8]=>([(0,5),(1,4),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[6,5,4,3,7,1,2,8]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(7,6)],8)
[6,4,5,3,7,1,2,8]=>([(0,7),(1,7),(2,4),(3,5),(4,7),(5,6),(7,6)],8)
[5,6,3,4,7,1,2,8]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[6,3,4,5,7,1,2,8]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[4,3,5,6,7,1,2,8]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[3,4,5,6,7,1,2,8]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[7,6,5,4,2,1,3,8]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[6,5,7,4,2,1,3,8]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8)
[7,6,4,5,2,1,3,8]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[7,5,4,6,2,1,3,8]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8)
[5,4,6,7,2,1,3,8]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,4)],8)
[4,5,6,7,2,1,3,8]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[7,6,5,4,1,2,3,8]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[5,6,7,4,1,2,3,8]=>([(0,7),(1,6),(2,5),(3,7),(4,7),(5,3),(6,4)],8)
[7,4,5,6,1,2,3,8]=>([(0,7),(1,6),(2,5),(3,7),(4,7),(5,3),(6,4)],8)
[5,6,4,7,1,2,3,8]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,4,6,7,1,2,3,8]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[4,5,6,7,1,2,3,8]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[7,6,5,3,2,1,4,8]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)
[7,6,5,2,3,1,4,8]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[6,7,5,2,3,1,4,8]=>([(0,7),(1,6),(2,4),(3,5),(4,7),(5,6),(6,7)],8)
[7,5,6,2,3,1,4,8]=>([(0,7),(1,6),(2,4),(3,5),(4,7),(5,6),(6,7)],8)
[6,5,7,2,3,1,4,8]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[5,6,7,2,3,1,4,8]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,6,7,3,1,2,4,8]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[7,6,5,2,1,3,4,8]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,7),(6,5)],8)
[6,7,5,2,1,3,4,8]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,7),(6,5)],8)
[7,5,6,2,1,3,4,8]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,7),(6,5)],8)
[5,6,7,2,1,3,4,8]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[7,6,5,1,2,3,4,8]=>([(0,4),(1,7),(2,7),(3,7),(4,6),(5,7),(6,5)],8)
[6,7,5,1,2,3,4,8]=>([(0,7),(1,6),(2,4),(3,7),(4,7),(5,3),(6,5)],8)
[7,5,6,1,2,3,4,8]=>([(0,7),(1,6),(2,4),(3,7),(4,7),(5,3),(6,5)],8)
[6,5,7,1,2,3,4,8]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[5,6,7,1,2,3,4,8]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[7,6,4,3,2,1,5,8]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(7,6)],8)
[6,7,4,3,2,1,5,8]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(7,6)],8)
[7,6,3,4,2,1,5,8]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(7,6)],8)
[6,7,3,4,2,1,5,8]=>([(0,7),(1,7),(2,4),(3,5),(4,7),(5,6),(7,6)],8)
[7,6,4,2,3,1,5,8]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(7,6)],8)
[7,6,3,2,4,1,5,8]=>([(0,6),(1,7),(2,7),(3,5),(4,5),(5,6),(6,7)],8)
[6,7,3,2,4,1,5,8]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[7,6,2,3,4,1,5,8]=>([(0,7),(1,7),(2,6),(3,4),(4,5),(5,6),(6,7)],8)
[6,7,2,3,4,1,5,8]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[7,6,4,3,1,2,5,8]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(7,6)],8)
[6,7,3,4,1,2,5,8]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[7,6,4,2,1,3,5,8]=>([(0,6),(1,7),(2,7),(3,5),(4,5),(5,6),(6,7)],8)
[7,6,3,2,1,4,5,8]=>([(0,7),(1,7),(2,6),(3,6),(4,6),(5,7),(6,5)],8)
[6,7,3,2,1,4,5,8]=>([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(7,5)],8)
[7,6,2,3,1,4,5,8]=>([(0,7),(1,7),(2,6),(3,4),(4,6),(5,7),(6,5)],8)
[6,7,2,3,1,4,5,8]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[6,7,3,1,2,4,5,8]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[7,6,1,2,3,4,5,8]=>([(0,7),(1,7),(2,6),(3,7),(4,5),(5,3),(6,4)],8)
[6,7,1,2,3,4,5,8]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[7,5,4,3,2,1,6,8]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)
[7,4,5,3,2,1,6,8]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(7,6)],8)
[7,4,3,5,2,1,6,8]=>([(0,7),(1,7),(2,5),(3,5),(4,6),(5,7),(7,6)],8)
[7,3,4,5,2,1,6,8]=>([(0,7),(1,7),(2,6),(3,4),(4,5),(5,7),(7,6)],8)
[7,5,4,2,3,1,6,8]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(7,6)],8)
[7,5,3,2,4,1,6,8]=>([(0,7),(1,7),(2,5),(3,5),(4,6),(5,7),(7,6)],8)
[7,5,2,3,4,1,6,8]=>([(0,7),(1,7),(2,6),(3,4),(4,5),(5,7),(7,6)],8)
[7,4,2,3,5,1,6,8]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[7,2,3,4,5,1,6,8]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[7,5,4,3,1,2,6,8]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(7,6)],8)
[7,4,5,2,1,3,6,8]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[7,4,5,1,2,3,6,8]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[7,5,3,2,1,4,6,8]=>([(0,6),(1,7),(2,7),(3,7),(4,5),(5,6),(7,5)],8)
[7,5,2,3,1,4,6,8]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[7,5,3,1,2,4,6,8]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[7,5,1,2,3,4,6,8]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[7,4,3,2,1,5,6,8]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(7,5)],8)
[7,2,3,4,1,5,6,8]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[7,4,3,1,2,5,6,8]=>([(0,7),(1,7),(2,6),(3,4),(4,7),(5,6),(7,5)],8)
[7,3,4,1,2,5,6,8]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[7,4,1,2,3,5,6,8]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[7,3,2,1,4,5,6,8]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(7,4)],8)
[7,2,3,1,4,5,6,8]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[7,3,1,2,4,5,6,8]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[7,2,1,3,4,5,6,8]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[7,1,2,3,4,5,6,8]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[6,5,4,3,2,1,7,8]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(7,6)],8)
[5,6,4,3,2,1,7,8]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,7),(7,6)],8)
[5,4,6,3,2,1,7,8]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(6,7),(7,5)],8)
[4,5,6,3,2,1,7,8]=>([(0,7),(1,7),(2,7),(3,4),(4,6),(6,7),(7,5)],8)
[6,5,3,4,2,1,7,8]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,7),(7,6)],8)
[5,6,3,4,2,1,7,8]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,7),(7,6)],8)
[5,4,3,6,2,1,7,8]=>([(0,7),(1,7),(2,6),(3,6),(4,6),(6,7),(7,5)],8)
[3,4,5,6,2,1,7,8]=>([(0,7),(1,7),(2,6),(3,7),(5,3),(6,5),(7,4)],8)
[5,4,6,2,3,1,7,8]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(6,7),(7,5)],8)
[5,6,3,2,4,1,7,8]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(6,7),(7,5)],8)
[6,5,2,3,4,1,7,8]=>([(0,7),(1,7),(2,7),(3,4),(4,6),(6,7),(7,5)],8)
[5,6,2,3,4,1,7,8]=>([(0,7),(1,5),(2,6),(3,7),(5,7),(6,3),(7,4)],8)
[6,4,3,2,5,1,7,8]=>([(0,7),(1,7),(2,6),(3,6),(4,6),(6,7),(7,5)],8)
[6,2,3,4,5,1,7,8]=>([(0,7),(1,7),(2,6),(3,7),(5,3),(6,5),(7,4)],8)
[5,4,3,2,6,1,7,8]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(6,5),(7,6)],8)
[4,5,3,2,6,1,7,8]=>([(0,7),(1,7),(2,6),(3,4),(4,7),(6,5),(7,6)],8)
[4,3,5,2,6,1,7,8]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[3,4,5,2,6,1,7,8]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[5,3,2,4,6,1,7,8]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[5,2,3,4,6,1,7,8]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[4,3,2,5,6,1,7,8]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(6,5),(7,4)],8)
[3,4,2,5,6,1,7,8]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[4,2,3,5,6,1,7,8]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[3,2,4,5,6,1,7,8]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[2,3,4,5,6,1,7,8]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[6,5,4,3,1,2,7,8]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,7),(7,6)],8)
[5,6,4,3,1,2,7,8]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,7),(7,6)],8)
[6,4,5,3,1,2,7,8]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,7),(7,6)],8)
[5,4,6,3,1,2,7,8]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(6,7),(7,5)],8)
[5,6,3,4,1,2,7,8]=>([(0,6),(1,5),(2,4),(4,7),(5,7),(6,7),(7,3)],8)
[6,4,3,5,1,2,7,8]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(6,7),(7,5)],8)
[5,4,3,6,1,2,7,8]=>([(0,7),(1,7),(2,7),(3,4),(4,6),(6,5),(7,6)],8)
[4,3,5,6,1,2,7,8]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[3,4,5,6,1,2,7,8]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[6,5,4,2,1,3,7,8]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(6,7),(7,5)],8)
[5,6,4,2,1,3,7,8]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(6,7),(7,5)],8)
[6,4,5,2,1,3,7,8]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(6,7),(7,5)],8)
[5,4,6,2,1,3,7,8]=>([(0,6),(1,6),(2,5),(3,5),(5,7),(6,7),(7,4)],8)
[4,5,6,2,1,3,7,8]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[6,5,4,1,2,3,7,8]=>([(0,7),(1,7),(2,7),(3,4),(4,6),(6,7),(7,5)],8)
[4,5,6,1,2,3,7,8]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[6,5,3,2,1,4,7,8]=>([(0,7),(1,7),(2,6),(3,6),(4,6),(6,7),(7,5)],8)
[5,6,3,2,1,4,7,8]=>([(0,7),(1,7),(2,7),(3,4),(4,6),(6,5),(7,6)],8)
[5,6,2,1,3,4,7,8]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[6,4,3,2,1,5,7,8]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(6,5),(7,6)],8)
[6,3,4,2,1,5,7,8]=>([(0,7),(1,7),(2,6),(3,4),(4,7),(6,5),(7,6)],8)
[6,4,3,1,2,5,7,8]=>([(0,7),(1,7),(2,6),(3,4),(4,7),(6,5),(7,6)],8)
[6,4,2,1,3,5,7,8]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[6,4,1,2,3,5,7,8]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[6,2,3,1,4,5,7,8]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[6,3,1,2,4,5,7,8]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[6,1,2,3,4,5,7,8]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[5,4,3,2,1,6,7,8]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(7,5)],8)
[4,5,3,2,1,6,7,8]=>([(0,7),(1,7),(2,7),(3,4),(4,7),(5,6),(7,5)],8)
[5,3,4,2,1,6,7,8]=>([(0,7),(1,7),(2,7),(3,4),(4,7),(5,6),(7,5)],8)
[4,3,5,2,1,6,7,8]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(6,7),(7,4)],8)
[3,4,5,2,1,6,7,8]=>([(0,7),(1,7),(2,5),(4,7),(5,4),(6,3),(7,6)],8)
[5,4,2,3,1,6,7,8]=>([(0,7),(1,7),(2,7),(3,4),(4,7),(5,6),(7,5)],8)
[4,5,2,3,1,6,7,8]=>([(0,7),(1,5),(2,4),(4,7),(5,7),(6,3),(7,6)],8)
[5,3,2,4,1,6,7,8]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(6,7),(7,4)],8)
[5,2,3,4,1,6,7,8]=>([(0,7),(1,7),(2,5),(4,7),(5,4),(6,3),(7,6)],8)
[4,3,2,5,1,6,7,8]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(6,4),(7,6)],8)
[3,4,2,5,1,6,7,8]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[4,2,3,5,1,6,7,8]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[3,2,4,5,1,6,7,8]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8)
[2,3,4,5,1,6,7,8]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[5,4,3,1,2,6,7,8]=>([(0,7),(1,7),(2,7),(3,4),(4,7),(5,6),(7,5)],8)
[5,3,4,1,2,6,7,8]=>([(0,7),(1,5),(2,4),(4,7),(5,7),(6,3),(7,6)],8)
[4,3,5,1,2,6,7,8]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[3,4,5,1,2,6,7,8]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[5,4,2,1,3,6,7,8]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(6,7),(7,4)],8)
[4,5,2,1,3,6,7,8]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[5,4,1,2,3,6,7,8]=>([(0,7),(1,7),(2,5),(4,7),(5,4),(6,3),(7,6)],8)
[4,5,1,2,3,6,7,8]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[5,3,2,1,4,6,7,8]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(6,4),(7,6)],8)
[5,2,3,1,4,6,7,8]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[5,3,1,2,4,6,7,8]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[5,2,1,3,4,6,7,8]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8)
[5,1,2,3,4,6,7,8]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[4,3,2,1,5,6,7,8]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(6,5),(7,4)],8)
[3,4,2,1,5,6,7,8]=>([(0,7),(1,7),(2,4),(4,7),(5,3),(6,5),(7,6)],8)
[4,2,3,1,5,6,7,8]=>([(0,7),(1,7),(2,4),(4,7),(5,3),(6,5),(7,6)],8)
[3,2,4,1,5,6,7,8]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[2,3,4,1,5,6,7,8]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[4,3,1,2,5,6,7,8]=>([(0,7),(1,7),(2,4),(4,7),(5,3),(6,5),(7,6)],8)
[3,4,1,2,5,6,7,8]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[4,2,1,3,5,6,7,8]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[4,1,2,3,5,6,7,8]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[3,2,1,4,5,6,7,8]=>([(0,7),(1,7),(2,7),(4,5),(5,3),(6,4),(7,6)],8)
[2,3,1,4,5,6,7,8]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[3,1,2,4,5,6,7,8]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[2,1,3,4,5,6,7,8]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[1,2,3,4,5,6,7,8]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,8,7,5,4,3,2,1]=>([(5,6),(5,7)],8)
[5,8,7,6,4,3,2,1]=>([(4,5),(4,6),(4,7)],8)
[5,7,8,6,4,3,2,1]=>([(4,5),(4,6),(6,7)],8)
[6,5,8,7,4,3,2,1]=>([(4,6),(4,7),(5,6),(5,7)],8)
[5,6,8,7,4,3,2,1]=>([(4,5),(5,6),(5,7)],8)
[5,7,6,8,4,3,2,1]=>([(4,5),(4,6),(5,7),(6,7)],8)
[4,8,7,6,5,3,2,1]=>([(3,4),(3,5),(3,6),(3,7)],8)
[4,7,8,6,5,3,2,1]=>([(3,4),(3,5),(3,6),(6,7)],8)
[4,6,8,7,5,3,2,1]=>([(3,4),(3,5),(5,6),(5,7)],8)
[4,7,6,8,5,3,2,1]=>([(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[4,6,7,8,5,3,2,1]=>([(3,4),(3,5),(5,6),(6,7)],8)
[4,5,8,7,6,3,2,1]=>([(3,4),(4,5),(4,6),(4,7)],8)
[4,5,7,8,6,3,2,1]=>([(3,4),(4,6),(4,7),(7,5)],8)
[4,6,5,8,7,3,2,1]=>([(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,6,8,7,3,2,1]=>([(3,4),(4,7),(7,5),(7,6)],8)
[5,7,6,4,8,3,2,1]=>([(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,7,6,5,8,3,2,1]=>([(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,6,7,5,8,3,2,1]=>([(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,4,7,6,8,3,2,1]=>([(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,5,7,6,8,3,2,1]=>([(3,4),(4,5),(4,6),(5,7),(6,7)],8)
[4,6,5,7,8,3,2,1]=>([(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[3,8,7,6,5,4,2,1]=>([(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[3,7,8,6,5,4,2,1]=>([(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[3,6,8,7,5,4,2,1]=>([(2,5),(2,6),(2,7),(7,3),(7,4)],8)
[3,5,8,7,6,4,2,1]=>([(2,6),(2,7),(7,3),(7,4),(7,5)],8)
[3,5,7,8,6,4,2,1]=>([(2,5),(2,7),(6,4),(7,3),(7,6)],8)
[3,5,6,8,7,4,2,1]=>([(2,5),(2,6),(6,7),(7,3),(7,4)],8)
[3,7,6,5,8,4,2,1]=>([(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[3,5,7,6,8,4,2,1]=>([(2,3),(2,6),(4,7),(5,7),(6,4),(6,5)],8)
[3,5,6,7,8,4,2,1]=>([(2,4),(2,7),(5,6),(6,3),(7,5)],8)
[4,3,8,7,6,5,2,1]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[4,3,6,7,8,5,2,1]=>([(2,6),(2,7),(3,6),(3,7),(4,5),(7,4)],8)
[3,4,8,7,6,5,2,1]=>([(2,7),(7,3),(7,4),(7,5),(7,6)],8)
[3,4,6,7,8,5,2,1]=>([(2,7),(5,6),(6,4),(7,3),(7,5)],8)
[5,4,3,8,7,6,2,1]=>([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,4,3,7,8,6,2,1]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[4,5,3,7,8,6,2,1]=>([(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)
[3,5,4,7,8,6,2,1]=>([(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[4,3,5,7,8,6,2,1]=>([(2,7),(3,7),(5,6),(7,4),(7,5)],8)
[3,4,5,8,7,6,2,1]=>([(2,6),(6,7),(7,3),(7,4),(7,5)],8)
[3,4,5,7,8,6,2,1]=>([(2,6),(5,4),(6,7),(7,3),(7,5)],8)
[6,5,4,3,8,7,2,1]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,4,3,8,7,2,1]=>([(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[4,5,6,3,8,7,2,1]=>([(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)
[4,3,6,5,8,7,2,1]=>([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,3,6,8,7,2,1]=>([(2,7),(3,7),(4,7),(7,5),(7,6)],8)
[4,5,3,6,8,7,2,1]=>([(2,7),(3,4),(4,7),(7,5),(7,6)],8)
[4,3,5,6,8,7,2,1]=>([(2,7),(3,7),(4,5),(4,6),(7,4)],8)
[3,4,5,6,8,7,2,1]=>([(2,6),(5,7),(6,5),(7,3),(7,4)],8)
[5,7,6,4,3,8,2,1]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,7,6,5,3,8,2,1]=>([(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,4,7,6,3,8,2,1]=>([(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[3,7,6,5,4,8,2,1]=>([(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[3,5,7,6,4,8,2,1]=>([(2,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[3,5,6,7,4,8,2,1]=>([(2,4),(2,6),(3,7),(4,7),(5,3),(6,5)],8)
[4,3,7,6,5,8,2,1]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[3,4,7,6,5,8,2,1]=>([(2,6),(3,7),(4,7),(5,7),(6,3),(6,4),(6,5)],8)
[3,4,6,7,5,8,2,1]=>([(2,6),(3,7),(4,7),(5,4),(6,3),(6,5)],8)
[4,5,3,7,6,8,2,1]=>([(2,6),(2,7),(3,4),(4,6),(4,7),(6,5),(7,5)],8)
[3,5,4,7,6,8,2,1]=>([(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[4,3,5,7,6,8,2,1]=>([(2,6),(3,6),(4,7),(5,7),(6,4),(6,5)],8)
[3,4,5,7,6,8,2,1]=>([(2,5),(3,7),(4,7),(5,6),(6,3),(6,4)],8)
[3,6,5,4,7,8,2,1]=>([(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(7,6)],8)
[3,5,6,4,7,8,2,1]=>([(2,4),(2,6),(3,7),(4,7),(6,3),(7,5)],8)
[4,3,6,5,7,8,2,1]=>([(2,5),(2,6),(3,5),(3,6),(5,7),(6,7),(7,4)],8)
[3,4,6,5,7,8,2,1]=>([(2,6),(3,7),(4,7),(6,3),(6,4),(7,5)],8)
[3,5,4,6,7,8,2,1]=>([(2,4),(2,5),(4,7),(5,7),(6,3),(7,6)],8)
[2,8,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)
[2,7,8,6,5,4,3,1]=>([(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8)
[2,6,8,7,5,4,3,1]=>([(1,4),(1,5),(1,6),(1,7),(7,2),(7,3)],8)
[2,7,6,8,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(5,7),(6,7)],8)
[2,6,7,8,5,4,3,1]=>([(1,3),(1,4),(1,5),(1,7),(6,2),(7,6)],8)
[2,5,8,7,6,4,3,1]=>([(1,5),(1,6),(1,7),(7,2),(7,3),(7,4)],8)
[2,6,7,5,8,4,3,1]=>([(1,2),(1,3),(1,5),(1,6),(4,7),(5,7),(6,4)],8)
[2,5,6,7,8,4,3,1]=>([(1,3),(1,4),(1,7),(5,6),(6,2),(7,5)],8)
[2,4,8,7,6,5,3,1]=>([(1,6),(1,7),(7,2),(7,3),(7,4),(7,5)],8)
[2,4,7,8,6,5,3,1]=>([(1,5),(1,7),(6,4),(7,2),(7,3),(7,6)],8)
[2,4,6,8,7,5,3,1]=>([(1,5),(1,7),(6,3),(6,4),(7,2),(7,6)],8)
[2,4,6,7,8,5,3,1]=>([(1,4),(1,7),(5,6),(6,3),(7,2),(7,5)],8)
[2,5,4,8,7,6,3,1]=>([(1,2),(1,3),(1,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[2,5,4,7,8,6,3,1]=>([(1,3),(1,4),(1,5),(4,6),(4,7),(5,6),(5,7),(7,2)],8)
[2,4,5,7,8,6,3,1]=>([(1,4),(1,6),(5,3),(6,7),(7,2),(7,5)],8)
[2,6,5,4,8,7,3,1]=>([(1,2),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,6,4,8,7,3,1]=>([(1,2),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3)],8)
[2,4,6,5,8,7,3,1]=>([(1,2),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3),(5,4)],8)
[2,4,5,6,8,7,3,1]=>([(1,4),(1,6),(5,7),(6,5),(7,2),(7,3)],8)
[2,7,6,5,4,8,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,7)],8)
[2,5,6,7,4,8,3,1]=>([(1,2),(1,4),(1,6),(3,7),(4,7),(5,3),(6,5)],8)
[2,4,7,6,5,8,3,1]=>([(1,2),(1,6),(3,7),(4,7),(5,7),(6,3),(6,4),(6,5)],8)
[2,4,6,7,5,8,3,1]=>([(1,2),(1,6),(3,7),(4,7),(5,4),(6,3),(6,5)],8)
[2,5,4,7,6,8,3,1]=>([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,6,5,4,7,8,3,1]=>([(1,2),(1,3),(1,4),(1,5),(3,7),(4,7),(5,7),(7,6)],8)
[2,5,6,4,7,8,3,1]=>([(1,2),(1,4),(1,6),(3,7),(4,7),(6,3),(7,5)],8)
[2,4,6,5,7,8,3,1]=>([(1,2),(1,6),(3,7),(4,7),(6,3),(6,4),(7,5)],8)
[2,5,4,6,7,8,3,1]=>([(1,3),(1,4),(1,5),(4,7),(5,7),(6,2),(7,6)],8)
[2,4,5,6,7,8,3,1]=>([(1,3),(1,7),(4,6),(5,4),(6,2),(7,5)],8)
[3,2,8,7,6,5,4,1]=>([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[3,2,6,8,7,5,4,1]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(7,3),(7,4)],8)
[3,2,5,7,8,6,4,1]=>([(1,6),(1,7),(2,6),(2,7),(4,5),(7,3),(7,4)],8)
[3,2,5,7,6,8,4,1]=>([(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(6,3),(6,4)],8)
[3,2,5,6,7,8,4,1]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(5,4),(7,3)],8)
[2,3,8,7,6,5,4,1]=>([(1,7),(7,2),(7,3),(7,4),(7,5),(7,6)],8)
[2,3,6,7,8,5,4,1]=>([(1,7),(5,6),(6,4),(7,2),(7,3),(7,5)],8)
[2,3,5,8,7,6,4,1]=>([(1,6),(6,5),(6,7),(7,2),(7,3),(7,4)],8)
[2,3,5,7,8,6,4,1]=>([(1,7),(5,4),(6,3),(6,5),(7,2),(7,6)],8)
[2,3,6,5,8,7,4,1]=>([(1,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3),(5,4)],8)
[2,3,5,6,8,7,4,1]=>([(1,7),(5,6),(6,3),(6,4),(7,2),(7,5)],8)
[2,3,7,6,5,8,4,1]=>([(1,6),(3,7),(4,7),(5,7),(6,2),(6,3),(6,4),(6,5)],8)
[2,3,5,7,6,8,4,1]=>([(1,6),(3,7),(4,7),(5,3),(5,4),(6,2),(6,5)],8)
[2,3,5,6,7,8,4,1]=>([(1,7),(4,6),(5,4),(6,2),(7,3),(7,5)],8)
[4,3,2,8,7,6,5,1]=>([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[4,3,2,7,8,6,5,1]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[4,3,2,6,8,7,5,1]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(7,4),(7,5)],8)
[3,4,2,8,7,6,5,1]=>([(1,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[3,4,2,7,8,6,5,1]=>([(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)
[2,4,3,8,7,6,5,1]=>([(1,2),(1,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[2,4,3,6,8,7,5,1]=>([(1,4),(1,5),(4,6),(4,7),(5,6),(5,7),(7,2),(7,3)],8)
[2,4,3,6,7,8,5,1]=>([(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(5,2),(7,5)],8)
[3,2,4,8,7,6,5,1]=>([(1,7),(2,7),(7,3),(7,4),(7,5),(7,6)],8)
[2,3,4,8,7,6,5,1]=>([(1,6),(6,7),(7,2),(7,3),(7,4),(7,5)],8)
[2,3,4,6,8,7,5,1]=>([(1,5),(5,7),(6,3),(6,4),(7,2),(7,6)],8)
[2,3,4,7,6,8,5,1]=>([(1,5),(3,7),(4,7),(5,6),(6,2),(6,3),(6,4)],8)
[2,3,4,6,7,8,5,1]=>([(1,6),(4,5),(5,2),(6,7),(7,3),(7,4)],8)
[5,4,3,2,8,7,6,1]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,4,3,2,7,8,6,1]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[4,5,3,2,8,7,6,1]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[3,5,4,2,7,8,6,1]=>([(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[4,3,5,2,8,7,6,1]=>([(1,4),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,4,5,2,7,8,6,1]=>([(1,6),(1,7),(2,4),(4,5),(5,6),(5,7),(7,3)],8)
[2,5,4,3,8,7,6,1]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[2,5,4,3,7,8,6,1]=>([(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(7,2)],8)
[2,4,5,3,8,7,6,1]=>([(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,2)],8)
[2,4,5,3,7,8,6,1]=>([(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3),(7,2)],8)
[3,2,5,4,7,8,6,1]=>([(1,6),(1,7),(2,6),(2,7),(5,3),(6,4),(6,5),(7,4),(7,5)],8)
[2,3,5,4,8,7,6,1]=>([(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,2),(4,3)],8)
[2,3,5,4,7,8,6,1]=>([(1,5),(3,6),(3,7),(4,6),(4,7),(5,3),(5,4),(7,2)],8)
[4,3,2,5,8,7,6,1]=>([(1,7),(2,7),(3,7),(7,4),(7,5),(7,6)],8)
[4,3,2,5,7,8,6,1]=>([(1,7),(2,7),(3,7),(5,6),(7,4),(7,5)],8)
[3,4,2,5,8,7,6,1]=>([(1,7),(2,3),(3,7),(7,4),(7,5),(7,6)],8)
[3,4,2,5,7,8,6,1]=>([(1,7),(2,4),(4,7),(6,3),(7,5),(7,6)],8)
[3,2,4,5,7,8,6,1]=>([(1,7),(2,7),(5,4),(6,3),(6,5),(7,6)],8)
[2,3,4,5,8,7,6,1]=>([(1,6),(5,7),(6,5),(7,2),(7,3),(7,4)],8)
[2,3,4,5,7,8,6,1]=>([(1,6),(4,7),(5,2),(6,4),(7,3),(7,5)],8)
[6,5,4,3,2,8,7,1]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,5,3,2,8,7,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,6,3,2,8,7,1]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8)
[4,5,6,3,2,8,7,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)
[3,6,5,4,2,8,7,1]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,6,4,2,8,7,1]=>([(1,6),(1,7),(2,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,6,5,2,8,7,1]=>([(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,3,6,2,8,7,1]=>([(1,7),(2,7),(3,7),(4,5),(4,6),(7,5),(7,6)],8)
[4,5,3,6,2,8,7,1]=>([(1,7),(2,5),(2,6),(3,4),(4,7),(7,5),(7,6)],8)
[2,6,5,4,3,8,7,1]=>([(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,6,5,3,8,7,1]=>([(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3)],8)
[2,4,5,6,3,8,7,1]=>([(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(4,2),(5,4)],8)
[3,2,6,5,4,8,7,1]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,5,6,4,8,7,1]=>([(1,5),(2,6),(2,7),(3,6),(3,7),(4,3),(5,2),(5,4)],8)
[4,3,2,6,5,8,7,1]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[3,4,2,6,5,8,7,1]=>([(1,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[2,4,3,6,5,8,7,1]=>([(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[3,2,4,6,5,8,7,1]=>([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,3),(5,4)],8)
[2,3,4,6,5,8,7,1]=>([(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,2),(5,3)],8)
[5,4,3,2,6,8,7,1]=>([(1,7),(2,7),(3,7),(4,7),(7,5),(7,6)],8)
[2,5,4,3,6,8,7,1]=>([(1,2),(1,3),(1,4),(2,7),(3,7),(4,7),(7,5),(7,6)],8)
[2,4,5,3,6,8,7,1]=>([(1,3),(1,6),(2,7),(3,7),(6,2),(7,4),(7,5)],8)
[3,2,5,4,6,8,7,1]=>([(1,5),(1,6),(2,5),(2,6),(5,7),(6,7),(7,3),(7,4)],8)
[4,3,2,5,6,8,7,1]=>([(1,7),(2,7),(3,7),(4,5),(4,6),(7,4)],8)
[3,4,2,5,6,8,7,1]=>([(1,7),(2,5),(5,7),(6,3),(6,4),(7,6)],8)
[2,4,3,5,6,8,7,1]=>([(1,4),(1,5),(4,7),(5,7),(6,2),(6,3),(7,6)],8)
[3,2,4,5,6,8,7,1]=>([(1,7),(2,7),(5,6),(6,3),(6,4),(7,5)],8)
[2,3,4,5,6,8,7,1]=>([(1,6),(4,5),(5,7),(6,4),(7,2),(7,3)],8)
[5,7,6,4,3,2,8,1]=>([(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,7,6,5,3,2,8,1]=>([(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,6,7,5,3,2,8,1]=>([(1,7),(2,7),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,6,5,7,3,2,8,1]=>([(1,7),(2,7),(3,4),(3,5),(4,6),(5,6),(6,7)],8)
[3,5,7,6,4,2,8,1]=>([(1,7),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[3,5,6,7,4,2,8,1]=>([(1,7),(2,4),(2,6),(3,7),(4,7),(5,3),(6,5)],8)
[4,3,7,6,5,2,8,1]=>([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,3,6,7,5,2,8,1]=>([(1,7),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,4)],8)
[3,4,7,6,5,2,8,1]=>([(1,7),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4),(6,5)],8)
[3,4,6,7,5,2,8,1]=>([(1,7),(2,6),(3,7),(4,7),(5,4),(6,3),(6,5)],8)
[5,4,3,7,6,2,8,1]=>([(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[3,5,4,7,6,2,8,1]=>([(1,7),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[3,4,5,7,6,2,8,1]=>([(1,7),(2,5),(3,7),(4,7),(5,6),(6,3),(6,4)],8)
[4,6,5,3,7,2,8,1]=>([(1,7),(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[3,6,5,4,7,2,8,1]=>([(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(7,6)],8)
[3,5,6,4,7,2,8,1]=>([(1,6),(2,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[4,3,6,5,7,2,8,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[3,4,6,5,7,2,8,1]=>([(1,3),(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[3,5,4,6,7,2,8,1]=>([(1,6),(2,3),(2,4),(3,7),(4,7),(5,6),(7,5)],8)
[2,7,6,5,4,3,8,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,6,5,7,4,3,8,1]=>([(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[2,5,6,7,4,3,8,1]=>([(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(5,2),(6,5)],8)
[2,4,6,7,5,3,8,1]=>([(1,4),(1,6),(2,7),(3,7),(4,7),(5,3),(6,2),(6,5)],8)
[2,5,4,7,6,3,8,1]=>([(1,2),(1,3),(1,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,4,6,5,7,3,8,1]=>([(1,2),(1,5),(2,7),(3,6),(4,6),(5,3),(5,4),(6,7)],8)
[2,5,4,6,7,3,8,1]=>([(1,2),(1,3),(1,5),(2,7),(3,7),(4,6),(5,6),(7,4)],8)
[2,4,5,6,7,3,8,1]=>([(1,3),(1,6),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[3,2,7,6,5,4,8,1]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[3,2,6,7,5,4,8,1]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[3,2,5,7,6,4,8,1]=>([(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[3,2,6,5,7,4,8,1]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(4,3),(5,4),(6,4),(7,3)],8)
[3,2,5,6,7,4,8,1]=>([(1,5),(1,7),(2,5),(2,7),(3,4),(4,6),(5,6),(7,3)],8)
[2,3,7,6,5,4,8,1]=>([(1,6),(2,7),(3,7),(4,7),(5,7),(6,2),(6,3),(6,4),(6,5)],8)
[2,3,5,7,6,4,8,1]=>([(1,6),(2,7),(3,7),(4,7),(5,3),(5,4),(6,2),(6,5)],8)
[2,3,5,6,7,4,8,1]=>([(1,6),(2,7),(3,7),(4,5),(5,3),(6,2),(6,4)],8)
[4,3,2,7,6,5,8,1]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,3,2,6,7,5,8,1]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(6,5),(7,4)],8)
[3,4,2,7,6,5,8,1]=>([(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[3,4,2,6,7,5,8,1]=>([(1,5),(1,7),(2,4),(3,6),(4,5),(4,7),(5,6),(7,3)],8)
[2,4,3,7,6,5,8,1]=>([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[2,4,3,6,7,5,8,1]=>([(1,3),(1,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(7,2)],8)
[3,2,4,7,6,5,8,1]=>([(1,6),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4),(6,5)],8)
[2,3,4,7,6,5,8,1]=>([(1,5),(2,7),(3,7),(4,7),(5,6),(6,2),(6,3),(6,4)],8)
[2,3,4,6,7,5,8,1]=>([(1,5),(2,7),(3,7),(4,3),(5,6),(6,2),(6,4)],8)
[5,4,3,2,7,6,8,1]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[3,5,4,2,7,6,8,1]=>([(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[4,3,5,2,7,6,8,1]=>([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[3,4,5,2,7,6,8,1]=>([(1,5),(1,6),(2,3),(3,4),(4,5),(4,6),(5,7),(6,7)],8)
[2,5,4,3,7,6,8,1]=>([(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[3,2,5,4,7,6,8,1]=>([(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)
[2,3,5,4,7,6,8,1]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(5,7),(6,7)],8)
[4,3,2,5,7,6,8,1]=>([(1,7),(2,7),(3,7),(4,6),(5,6),(7,4),(7,5)],8)
[3,4,2,5,7,6,8,1]=>([(1,6),(2,3),(3,6),(4,7),(5,7),(6,4),(6,5)],8)
[2,4,3,5,7,6,8,1]=>([(1,2),(1,3),(2,7),(3,7),(4,6),(5,6),(7,4),(7,5)],8)
[3,2,4,5,7,6,8,1]=>([(1,6),(2,6),(3,4),(3,5),(4,7),(5,7),(6,3)],8)
[2,3,4,5,7,6,8,1]=>([(1,5),(2,7),(3,7),(4,6),(5,4),(6,2),(6,3)],8)
[3,6,5,4,2,7,8,1]=>([(1,7),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(7,6)],8)
[3,5,6,4,2,7,8,1]=>([(1,7),(2,4),(2,6),(3,7),(4,7),(6,3),(7,5)],8)
[3,4,6,5,2,7,8,1]=>([(1,7),(2,6),(3,7),(4,7),(6,3),(6,4),(7,5)],8)
[3,5,4,6,2,7,8,1]=>([(1,6),(2,3),(2,4),(3,7),(4,7),(6,5),(7,6)],8)
[2,6,5,4,3,7,8,1]=>([(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,7),(5,7),(7,6)],8)
[2,5,6,4,3,7,8,1]=>([(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(6,2),(7,5)],8)
[2,4,6,5,3,7,8,1]=>([(1,4),(1,6),(2,7),(3,7),(4,7),(6,2),(6,3),(7,5)],8)
[2,4,5,6,3,7,8,1]=>([(1,3),(1,6),(2,7),(3,7),(5,2),(6,5),(7,4)],8)
[3,2,5,6,4,7,8,1]=>([(1,5),(1,6),(2,5),(2,6),(3,7),(5,7),(6,3),(7,4)],8)
[2,3,6,5,4,7,8,1]=>([(1,6),(2,7),(3,7),(4,7),(6,2),(6,3),(6,4),(7,5)],8)
[2,3,5,6,4,7,8,1]=>([(1,6),(2,7),(3,7),(5,3),(6,2),(6,5),(7,4)],8)
[4,3,2,6,5,7,8,1]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(5,4),(6,5),(7,5)],8)
[3,4,2,6,5,7,8,1]=>([(1,6),(1,7),(2,4),(4,6),(4,7),(5,3),(6,5),(7,5)],8)
[2,4,3,6,5,7,8,1]=>([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7),(7,2)],8)
[2,3,4,6,5,7,8,1]=>([(1,5),(2,7),(3,7),(5,6),(6,2),(6,3),(7,4)],8)
[3,5,4,2,6,7,8,1]=>([(1,7),(2,4),(2,5),(4,7),(5,7),(6,3),(7,6)],8)
[2,5,4,3,6,7,8,1]=>([(1,3),(1,4),(1,5),(3,7),(4,7),(5,7),(6,2),(7,6)],8)
[2,4,5,3,6,7,8,1]=>([(1,4),(1,5),(3,7),(4,7),(5,3),(6,2),(7,6)],8)
[3,2,5,4,6,7,8,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(5,7),(6,7),(7,3)],8)
[2,3,5,4,6,7,8,1]=>([(1,6),(3,7),(4,7),(5,2),(6,3),(6,4),(7,5)],8)
[2,4,3,5,6,7,8,1]=>([(1,3),(1,4),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,8,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)
[1,7,8,6,5,4,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)
[1,6,8,7,5,4,3,2]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)
[1,7,6,8,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)
[1,6,7,8,5,4,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,7),(6,1),(7,6)],8)
[1,5,8,7,6,4,3,2]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)
[1,6,5,8,7,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,6,5,8,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)
[1,6,7,5,8,4,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(5,7),(6,1)],8)
[1,5,7,6,8,4,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(6,1),(6,2)],8)
[1,6,5,7,8,4,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7),(7,1)],8)
[1,5,6,7,8,4,3,2]=>([(0,2),(0,3),(0,4),(0,7),(5,6),(6,1),(7,5)],8)
[1,4,8,7,6,5,3,2]=>([(0,5),(0,6),(0,7),(7,1),(7,2),(7,3),(7,4)],8)
[1,4,7,8,6,5,3,2]=>([(0,4),(0,5),(0,7),(6,3),(7,1),(7,2),(7,6)],8)
[1,4,6,8,7,5,3,2]=>([(0,4),(0,5),(0,7),(6,2),(6,3),(7,1),(7,6)],8)
[1,4,6,7,8,5,3,2]=>([(0,3),(0,4),(0,7),(5,6),(6,2),(7,1),(7,5)],8)
[1,5,4,7,8,6,3,2]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(4,7),(5,6),(5,7),(7,1)],8)
[1,4,5,8,7,6,3,2]=>([(0,4),(0,5),(0,6),(6,7),(7,1),(7,2),(7,3)],8)
[1,4,6,5,8,7,3,2]=>([(0,3),(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(5,1),(5,2)],8)
[1,7,6,5,4,8,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,4,7,6,5,8,3,2]=>([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(6,1),(6,2),(6,3)],8)
[1,4,6,7,5,8,3,2]=>([(0,3),(0,4),(0,6),(1,7),(2,7),(5,2),(6,1),(6,5)],8)
[1,6,5,4,7,8,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7),(7,1)],8)
[1,5,4,6,7,8,3,2]=>([(0,2),(0,3),(0,4),(0,5),(4,7),(5,7),(6,1),(7,6)],8)
[1,4,5,6,7,8,3,2]=>([(0,2),(0,3),(0,7),(4,6),(5,4),(6,1),(7,5)],8)
[1,3,8,7,6,5,4,2]=>([(0,6),(0,7),(7,1),(7,2),(7,3),(7,4),(7,5)],8)
[1,3,7,8,6,5,4,2]=>([(0,5),(0,7),(6,4),(7,1),(7,2),(7,3),(7,6)],8)
[1,3,6,8,7,5,4,2]=>([(0,5),(0,7),(6,3),(6,4),(7,1),(7,2),(7,6)],8)
[1,3,6,7,8,5,4,2]=>([(0,4),(0,7),(5,6),(6,3),(7,1),(7,2),(7,5)],8)
[1,3,5,8,7,6,4,2]=>([(0,5),(0,6),(6,4),(6,7),(7,1),(7,2),(7,3)],8)
[1,3,5,7,8,6,4,2]=>([(0,4),(0,7),(5,3),(6,2),(6,5),(7,1),(7,6)],8)
[1,3,5,6,8,7,4,2]=>([(0,4),(0,7),(5,6),(6,2),(6,3),(7,1),(7,5)],8)
[1,3,6,7,5,8,4,2]=>([(0,4),(0,6),(2,7),(3,7),(5,3),(6,1),(6,2),(6,5)],8)
[1,3,6,5,7,8,4,2]=>([(0,5),(0,6),(2,7),(3,7),(6,1),(6,2),(6,3),(7,4)],8)
[1,3,5,6,7,8,4,2]=>([(0,3),(0,7),(4,6),(5,2),(6,5),(7,1),(7,4)],8)
[1,4,3,8,7,6,5,2]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,4,3,7,8,6,5,2]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,1)],8)
[1,4,3,6,8,7,5,2]=>([(0,3),(0,4),(0,5),(4,6),(4,7),(5,6),(5,7),(7,1),(7,2)],8)
[1,4,3,7,6,8,5,2]=>([(0,1),(0,2),(0,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[1,4,3,6,7,8,5,2]=>([(0,2),(0,3),(0,4),(3,6),(3,7),(4,6),(4,7),(5,1),(7,5)],8)
[1,3,4,8,7,6,5,2]=>([(0,5),(0,6),(6,7),(7,1),(7,2),(7,3),(7,4)],8)
[1,3,4,7,6,8,5,2]=>([(0,4),(0,5),(2,7),(3,7),(5,6),(6,1),(6,2),(6,3)],8)
[1,3,4,6,7,8,5,2]=>([(0,3),(0,6),(4,5),(5,2),(6,7),(7,1),(7,4)],8)
[1,5,4,3,8,7,6,2]=>([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,4,5,3,8,7,6,2]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(3,5),(3,6),(3,7),(4,1)],8)
[1,4,5,3,7,8,6,2]=>([(0,3),(0,4),(0,5),(2,6),(2,7),(4,6),(4,7),(5,2),(7,1)],8)
[1,3,5,4,8,7,6,2]=>([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(4,1),(4,2)],8)
[1,4,3,5,8,7,6,2]=>([(0,4),(0,5),(0,6),(5,7),(6,7),(7,1),(7,2),(7,3)],8)
[1,4,3,5,7,8,6,2]=>([(0,3),(0,4),(0,5),(4,7),(5,7),(6,1),(7,2),(7,6)],8)
[1,3,4,5,8,7,6,2]=>([(0,4),(0,6),(5,7),(6,5),(7,1),(7,2),(7,3)],8)
[1,3,4,5,7,8,6,2]=>([(0,3),(0,6),(4,7),(5,2),(6,4),(7,1),(7,5)],8)
[1,6,5,4,3,8,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,6,4,3,8,7,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(3,6),(3,7),(4,6),(4,7),(5,1)],8)
[1,4,6,5,3,8,7,2]=>([(0,3),(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(4,6),(4,7),(5,1),(5,2)],8)
[1,4,5,6,3,8,7,2]=>([(0,2),(0,3),(0,5),(1,6),(1,7),(3,6),(3,7),(4,1),(5,4)],8)
[1,3,6,5,4,8,7,2]=>([(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(5,1),(5,2),(5,3)],8)
[1,4,3,6,5,8,7,2]=>([(0,1),(0,2),(0,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[1,5,4,3,6,8,7,2]=>([(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7),(7,1),(7,2)],8)
[1,4,5,3,6,8,7,2]=>([(0,4),(0,5),(0,6),(1,7),(5,7),(6,1),(7,2),(7,3)],8)
[1,3,4,5,6,8,7,2]=>([(0,3),(0,6),(4,5),(5,7),(6,4),(7,1),(7,2)],8)
[1,7,6,5,4,3,8,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,6,7,5,4,3,8,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(3,7),(4,7),(5,7),(6,1)],8)
[1,6,5,7,4,3,8,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[1,4,6,7,5,3,8,2]=>([(0,3),(0,4),(0,6),(1,7),(2,7),(4,7),(5,2),(6,1),(6,5)],8)
[1,5,6,4,7,3,8,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,7),(4,6),(5,1),(6,7)],8)
[1,4,6,5,7,3,8,2]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(4,7),(5,1),(5,2),(6,7)],8)
[1,5,4,6,7,3,8,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,7),(4,7),(5,6),(7,1)],8)
[1,4,5,6,7,3,8,2]=>([(0,2),(0,3),(0,6),(1,7),(3,7),(4,5),(5,1),(6,4)],8)
[1,3,6,5,7,4,8,2]=>([(0,4),(0,5),(1,7),(2,6),(3,6),(5,1),(5,2),(5,3),(6,7)],8)
[1,3,5,6,7,4,8,2]=>([(0,3),(0,6),(1,7),(2,7),(4,5),(5,2),(6,1),(6,4)],8)
[1,3,4,7,6,5,8,2]=>([(0,4),(0,5),(1,7),(2,7),(3,7),(5,6),(6,1),(6,2),(6,3)],8)
[1,3,4,6,7,5,8,2]=>([(0,3),(0,5),(1,7),(2,7),(4,2),(5,6),(6,1),(6,4)],8)
[1,3,5,4,7,6,8,2]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2),(5,7),(6,7)],8)
[1,3,4,5,7,6,8,2]=>([(0,3),(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2)],8)
[1,5,4,6,3,7,8,2]=>([(0,2),(0,3),(0,4),(0,5),(3,7),(4,6),(5,6),(6,7),(7,1)],8)
[1,4,3,6,5,7,8,2]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7),(7,1)],8)
[1,3,4,6,5,7,8,2]=>([(0,4),(0,5),(1,7),(2,7),(5,6),(6,1),(6,2),(7,3)],8)
[1,5,4,3,6,7,8,2]=>([(0,2),(0,3),(0,4),(0,5),(3,7),(4,7),(5,7),(6,1),(7,6)],8)
[1,4,5,3,6,7,8,2]=>([(0,3),(0,4),(0,6),(2,7),(4,7),(5,1),(6,2),(7,5)],8)
[1,4,3,5,6,7,8,2]=>([(0,2),(0,3),(0,4),(3,7),(4,7),(5,1),(6,5),(7,6)],8)
[1,3,4,5,6,7,8,2]=>([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8)
[2,1,8,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)
[2,1,7,8,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8)
[2,1,6,8,7,5,4,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(7,2),(7,3)],8)
[2,1,7,6,8,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(6,2),(7,2)],8)
[2,1,6,7,8,5,4,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(7,2)],8)
[2,1,5,8,7,6,4,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(7,2),(7,3),(7,4)],8)
[2,1,5,7,8,6,4,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(7,2),(7,4)],8)
[2,1,6,5,8,7,4,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8)
[2,1,5,6,8,7,4,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,2),(4,3),(7,4)],8)
[2,1,7,6,5,8,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(4,7),(5,7),(6,7)],8)
[2,1,6,7,5,8,4,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(6,2),(7,3)],8)
[2,1,5,7,6,8,4,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(3,4),(7,2),(7,3)],8)
[2,1,6,5,7,8,4,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(3,2),(6,3),(7,3)],8)
[2,1,5,6,7,8,4,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(3,4),(4,2),(7,3)],8)
[2,1,4,8,7,6,5,3]=>([(0,6),(0,7),(1,6),(1,7),(7,2),(7,3),(7,4),(7,5)],8)
[2,1,4,7,8,6,5,3]=>([(0,6),(0,7),(1,6),(1,7),(5,4),(7,2),(7,3),(7,5)],8)
[2,1,4,6,8,7,5,3]=>([(0,6),(0,7),(1,6),(1,7),(5,3),(5,4),(7,2),(7,5)],8)
[2,1,4,6,7,8,5,3]=>([(0,6),(0,7),(1,6),(1,7),(4,5),(5,3),(7,2),(7,4)],8)
[2,1,5,4,8,7,6,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(6,2),(6,3),(6,4),(7,2),(7,3),(7,4)],8)
[2,1,5,4,7,8,6,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,2),(6,3),(6,4),(7,3),(7,4)],8)
[2,1,4,5,8,7,6,3]=>([(0,6),(0,7),(1,6),(1,7),(5,2),(5,3),(5,4),(7,5)],8)
[2,1,4,5,7,8,6,3]=>([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(5,4),(7,5)],8)
[2,1,6,5,4,8,7,3]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,5,6,4,8,7,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(6,2),(7,3),(7,4)],8)
[2,1,4,6,5,8,7,3]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(7,2),(7,3)],8)
[2,1,5,4,6,8,7,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,2),(4,3),(6,4),(7,4)],8)
[2,1,4,5,6,8,7,3]=>([(0,6),(0,7),(1,6),(1,7),(4,5),(5,2),(5,3),(7,4)],8)
[2,1,7,6,5,4,8,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,7)],8)
[2,1,6,7,5,4,8,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,7),(4,7),(5,7),(6,2)],8)
[2,1,5,7,6,4,8,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(3,7),(5,7),(6,2),(6,3)],8)
[2,1,6,5,7,4,8,3]=>([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(4,2),(5,4),(6,4),(7,2)],8)
[2,1,5,6,7,4,8,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(6,2),(7,4)],8)
[2,1,4,7,6,5,8,3]=>([(0,5),(0,6),(1,5),(1,6),(2,7),(3,7),(4,7),(6,2),(6,3),(6,4)],8)
[2,1,4,6,7,5,8,3]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(4,3),(7,2),(7,4)],8)
[2,1,5,4,7,6,8,3]=>([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(4,2),(5,2),(6,4),(6,5),(7,4),(7,5)],8)
[2,1,5,6,4,7,8,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(3,4),(4,2),(6,3),(7,4)],8)
[2,1,5,4,6,7,8,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(4,2),(6,4),(7,4)],8)
[2,1,4,5,6,7,8,3]=>([(0,6),(0,7),(1,6),(1,7),(3,5),(4,3),(5,2),(7,4)],8)
[1,2,8,7,6,5,4,3]=>([(0,7),(7,1),(7,2),(7,3),(7,4),(7,5),(7,6)],8)
[1,2,7,8,6,5,4,3]=>([(0,7),(6,5),(7,1),(7,2),(7,3),(7,4),(7,6)],8)
[1,2,6,7,8,5,4,3]=>([(0,7),(5,6),(6,4),(7,1),(7,2),(7,3),(7,5)],8)
[1,2,5,8,7,6,4,3]=>([(0,7),(6,3),(6,4),(6,5),(7,1),(7,2),(7,6)],8)
[1,2,6,5,8,7,4,3]=>([(0,5),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,3),(5,4)],8)
[1,2,5,6,8,7,4,3]=>([(0,7),(5,6),(6,3),(6,4),(7,1),(7,2),(7,5)],8)
[1,2,7,6,5,8,4,3]=>([(0,6),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4),(6,5)],8)
[1,2,5,7,6,8,4,3]=>([(0,6),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2),(6,5)],8)
[1,2,6,5,7,8,4,3]=>([(0,6),(3,7),(4,7),(6,1),(6,2),(6,3),(6,4),(7,5)],8)
[1,2,5,6,7,8,4,3]=>([(0,7),(4,6),(5,3),(6,5),(7,1),(7,2),(7,4)],8)
[1,2,4,8,7,6,5,3]=>([(0,6),(6,5),(6,7),(7,1),(7,2),(7,3),(7,4)],8)
[1,2,4,7,8,6,5,3]=>([(0,6),(5,4),(6,3),(6,7),(7,1),(7,2),(7,5)],8)
[1,2,4,6,8,7,5,3]=>([(0,7),(5,2),(5,6),(6,3),(6,4),(7,1),(7,5)],8)
[1,2,4,6,7,8,5,3]=>([(0,7),(4,5),(5,3),(6,2),(6,4),(7,1),(7,6)],8)
[1,2,5,4,8,7,6,3]=>([(0,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,2),(4,3)],8)
[1,2,5,4,7,8,6,3]=>([(0,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3),(5,4),(7,1)],8)
[1,2,4,5,8,7,6,3]=>([(0,6),(5,7),(6,4),(6,5),(7,1),(7,2),(7,3)],8)
[1,2,4,5,7,8,6,3]=>([(0,7),(4,6),(5,3),(6,2),(6,5),(7,1),(7,4)],8)
[1,2,6,5,4,8,7,3]=>([(0,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,3),(5,4)],8)
[1,2,4,6,5,8,7,3]=>([(0,5),(2,6),(2,7),(3,6),(3,7),(4,2),(4,3),(5,1),(5,4)],8)
[1,2,5,4,6,8,7,3]=>([(0,6),(2,7),(3,7),(6,1),(6,2),(6,3),(7,4),(7,5)],8)
[1,2,4,5,6,8,7,3]=>([(0,7),(4,5),(5,6),(6,2),(6,3),(7,1),(7,4)],8)
[1,2,7,6,5,4,8,3]=>([(0,6),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4),(6,5)],8)
[1,2,5,7,6,4,8,3]=>([(0,6),(2,7),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2),(6,5)],8)
[1,2,5,6,7,4,8,3]=>([(0,6),(2,7),(3,7),(4,5),(5,3),(6,1),(6,2),(6,4)],8)
[1,2,4,7,6,5,8,3]=>([(0,5),(2,7),(3,7),(4,7),(5,1),(5,6),(6,2),(6,3),(6,4)],8)
[1,2,5,4,7,6,8,3]=>([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3),(5,7),(6,7)],8)
[1,2,6,5,4,7,8,3]=>([(0,6),(2,7),(3,7),(4,7),(6,1),(6,2),(6,3),(6,4),(7,5)],8)
[1,2,5,4,6,7,8,3]=>([(0,6),(3,7),(4,7),(5,2),(6,1),(6,3),(6,4),(7,5)],8)
[1,2,4,5,6,7,8,3]=>([(0,7),(3,4),(4,6),(5,3),(6,1),(7,2),(7,5)],8)
[3,2,1,8,7,6,5,4]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[3,2,1,7,8,6,5,4]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[3,2,1,6,8,7,5,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(7,3),(7,4)],8)
[3,2,1,7,6,8,5,4]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3),(7,3)],8)
[3,2,1,6,7,8,5,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(7,3)],8)
[3,2,1,5,8,7,6,4]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(7,3),(7,4),(7,5)],8)
[3,2,1,5,7,8,6,4]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(4,5),(7,3),(7,4)],8)
[3,2,1,6,5,8,7,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8)
[3,2,1,5,6,8,7,4]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(7,3)],8)
[3,2,1,7,6,5,8,4]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(5,3),(6,3),(7,3)],8)
[3,2,1,6,7,5,8,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(6,4),(7,3)],8)
[3,2,1,5,7,6,8,4]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(7,3),(7,4)],8)
[3,2,1,6,5,7,8,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(4,3),(6,4),(7,4)],8)
[3,2,1,5,6,7,8,4]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(5,4),(7,3)],8)
[2,3,1,8,7,6,5,4]=>([(0,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[2,3,1,6,8,7,5,4]=>([(0,5),(0,6),(0,7),(1,4),(4,5),(4,6),(4,7),(7,2),(7,3)],8)
[2,3,1,7,6,8,5,4]=>([(0,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3),(7,3)],8)
[2,3,1,6,7,8,5,4]=>([(0,5),(0,6),(0,7),(1,3),(3,5),(3,6),(3,7),(4,2),(7,4)],8)
[2,3,1,5,7,8,6,4]=>([(0,6),(0,7),(1,4),(4,6),(4,7),(5,3),(7,2),(7,5)],8)
[2,3,1,6,5,8,7,4]=>([(0,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8)
[2,3,1,7,6,5,8,4]=>([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[2,3,1,6,7,5,8,4]=>([(0,3),(1,4),(1,5),(1,7),(2,6),(3,4),(3,5),(3,7),(5,2),(7,6)],8)
[2,3,1,5,7,6,8,4]=>([(0,6),(0,7),(1,2),(2,6),(2,7),(3,5),(4,5),(7,3),(7,4)],8)
[2,3,1,5,6,7,8,4]=>([(0,6),(0,7),(1,3),(3,6),(3,7),(4,2),(5,4),(7,5)],8)
[1,3,2,8,7,6,5,4]=>([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[1,3,2,6,8,7,5,4]=>([(0,3),(0,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,1),(7,2)],8)
[1,3,2,7,6,8,5,4]=>([(0,1),(0,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3),(7,3)],8)
[1,3,2,6,7,8,5,4]=>([(0,2),(0,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(7,4)],8)
[1,3,2,5,8,7,6,4]=>([(0,4),(0,5),(4,6),(4,7),(5,6),(5,7),(7,1),(7,2),(7,3)],8)
[1,3,2,5,7,8,6,4]=>([(0,3),(0,4),(3,6),(3,7),(4,6),(4,7),(5,2),(7,1),(7,5)],8)
[1,3,2,6,5,8,7,4]=>([(0,1),(0,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8)
[1,3,2,5,6,8,7,4]=>([(0,3),(0,4),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(7,5)],8)
[1,3,2,7,6,5,8,4]=>([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[1,3,2,6,7,5,8,4]=>([(0,2),(0,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,1),(7,4)],8)
[1,3,2,6,5,7,8,4]=>([(0,2),(0,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(6,4),(7,4)],8)
[1,3,2,5,6,7,8,4]=>([(0,2),(0,3),(2,6),(2,7),(3,6),(3,7),(4,1),(5,4),(7,5)],8)
[2,1,3,8,7,6,5,4]=>([(0,7),(1,7),(7,2),(7,3),(7,4),(7,5),(7,6)],8)
[2,1,3,7,8,6,5,4]=>([(0,7),(1,7),(6,2),(7,3),(7,4),(7,5),(7,6)],8)
[2,1,3,6,8,7,5,4]=>([(0,7),(1,7),(6,2),(6,3),(7,4),(7,5),(7,6)],8)
[2,1,3,6,5,8,7,4]=>([(0,7),(1,7),(3,5),(3,6),(4,5),(4,6),(7,2),(7,3),(7,4)],8)
[2,1,3,5,6,7,8,4]=>([(0,7),(1,7),(4,5),(5,2),(6,4),(7,3),(7,6)],8)
[1,2,3,8,7,6,5,4]=>([(0,6),(6,7),(7,1),(7,2),(7,3),(7,4),(7,5)],8)
[1,2,3,7,8,6,5,4]=>([(0,6),(5,4),(6,7),(7,1),(7,2),(7,3),(7,5)],8)
[1,2,3,6,8,7,5,4]=>([(0,5),(5,7),(6,3),(6,4),(7,1),(7,2),(7,6)],8)
[1,2,3,7,6,8,5,4]=>([(0,5),(3,7),(4,7),(5,6),(6,1),(6,2),(6,3),(6,4)],8)
[1,2,3,6,7,8,5,4]=>([(0,6),(4,5),(5,3),(6,7),(7,1),(7,2),(7,4)],8)
[1,2,3,5,8,7,6,4]=>([(0,5),(5,6),(6,4),(6,7),(7,1),(7,2),(7,3)],8)
[1,2,3,5,7,8,6,4]=>([(0,5),(4,3),(5,6),(6,2),(6,7),(7,1),(7,4)],8)
[1,2,3,6,5,8,7,4]=>([(0,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,1),(5,2),(5,3)],8)
[1,2,3,5,6,8,7,4]=>([(0,5),(4,7),(5,6),(6,3),(6,4),(7,1),(7,2)],8)
[1,2,3,7,6,5,8,4]=>([(0,5),(2,7),(3,7),(4,7),(5,6),(6,1),(6,2),(6,3),(6,4)],8)
[1,2,3,6,7,5,8,4]=>([(0,5),(2,7),(3,7),(4,3),(5,6),(6,1),(6,2),(6,4)],8)
[1,2,3,5,7,6,8,4]=>([(0,4),(2,7),(3,7),(4,6),(5,2),(5,3),(6,1),(6,5)],8)
[1,2,3,6,5,7,8,4]=>([(0,5),(2,7),(3,7),(5,6),(6,1),(6,2),(6,3),(7,4)],8)
[1,2,3,5,6,7,8,4]=>([(0,6),(3,5),(4,3),(5,1),(6,7),(7,2),(7,4)],8)
[4,3,2,1,8,7,6,5]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[4,3,2,1,7,8,6,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[4,3,2,1,6,8,7,5]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(7,4),(7,5)],8)
[4,3,2,1,7,6,8,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[4,3,2,1,6,7,8,5]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(7,4)],8)
[3,4,2,1,8,7,6,5]=>([(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[3,4,2,1,7,8,6,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)
[3,4,2,1,6,8,7,5]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(5,6),(5,7),(7,3),(7,4)],8)
[3,4,2,1,7,6,8,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[3,4,2,1,6,7,8,5]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(3,5),(4,6),(4,7),(7,3)],8)
[2,4,3,1,8,7,6,5]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[2,4,3,1,7,8,6,5]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,2)],8)
[2,4,3,1,6,8,7,5]=>([(0,6),(0,7),(1,4),(1,5),(4,6),(4,7),(5,6),(5,7),(7,2),(7,3)],8)
[2,4,3,1,7,6,8,5]=>([(0,2),(0,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[2,4,3,1,6,7,8,5]=>([(0,6),(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(5,2),(7,5)],8)
[3,2,4,1,8,7,6,5]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(7,3),(7,4),(7,5),(7,6)],8)
[3,2,4,1,7,8,6,5]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(6,3),(7,4),(7,5),(7,6)],8)
[3,2,4,1,6,8,7,5]=>([(0,6),(0,7),(1,5),(2,5),(5,6),(5,7),(7,3),(7,4)],8)
[3,2,4,1,7,6,8,5]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,4),(7,5),(7,6)],8)
[3,2,4,1,6,7,8,5]=>([(0,6),(0,7),(1,5),(2,5),(3,4),(5,6),(5,7),(7,3)],8)
[2,3,4,1,8,7,6,5]=>([(0,2),(1,4),(1,5),(1,6),(1,7),(2,3),(3,4),(3,5),(3,6),(3,7)],8)
[2,3,4,1,7,8,6,5]=>([(0,5),(0,6),(0,7),(1,4),(3,5),(3,6),(3,7),(4,3),(7,2)],8)
[2,3,4,1,6,8,7,5]=>([(0,6),(0,7),(1,5),(4,6),(4,7),(5,4),(7,2),(7,3)],8)
[2,3,4,1,7,6,8,5]=>([(0,2),(1,5),(1,6),(1,7),(2,3),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[2,3,4,1,6,7,8,5]=>([(0,6),(0,7),(1,4),(3,6),(3,7),(4,3),(5,2),(7,5)],8)
[1,4,3,2,8,7,6,5]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,4,3,2,6,8,7,5]=>([(0,3),(0,4),(0,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(7,1),(7,2)],8)
[1,4,3,2,7,6,8,5]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[1,4,3,2,6,7,8,5]=>([(0,2),(0,3),(0,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(7,5)],8)
[1,3,4,2,8,7,6,5]=>([(0,1),(0,3),(1,2),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,3,4,2,7,8,6,5]=>([(0,3),(0,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,2),(7,1)],8)
[1,3,4,2,6,8,7,5]=>([(0,4),(0,5),(3,6),(3,7),(4,6),(4,7),(5,3),(7,1),(7,2)],8)
[1,3,4,2,7,6,8,5]=>([(0,1),(0,3),(1,2),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[1,3,4,2,6,7,8,5]=>([(0,3),(0,5),(2,6),(2,7),(3,6),(3,7),(4,1),(5,2),(7,4)],8)
[2,1,4,3,8,7,6,5]=>([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8)
[2,1,4,3,7,8,6,5]=>([(0,6),(0,7),(1,6),(1,7),(5,2),(6,3),(6,4),(6,5),(7,3),(7,4),(7,5)],8)
[2,1,4,3,6,8,7,5]=>([(0,6),(0,7),(1,6),(1,7),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8)
[2,1,4,3,7,6,8,5]=>([(0,6),(0,7),(1,6),(1,7),(4,3),(5,3),(6,2),(6,4),(6,5),(7,2),(7,4),(7,5)],8)
[2,1,4,3,6,7,8,5]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(5,2),(6,4),(6,5),(7,4),(7,5)],8)
[1,2,4,3,8,7,6,5]=>([(0,1),(1,2),(1,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,2,4,3,7,8,6,5]=>([(0,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,2),(4,3),(7,1)],8)
[1,2,4,3,6,8,7,5]=>([(0,5),(3,6),(3,7),(4,6),(4,7),(5,3),(5,4),(7,1),(7,2)],8)
[1,2,4,3,7,6,8,5]=>([(0,1),(1,2),(1,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[1,2,4,3,6,7,8,5]=>([(0,5),(2,6),(2,7),(3,6),(3,7),(4,1),(5,2),(5,3),(7,4)],8)
[3,2,1,4,8,7,6,5]=>([(0,7),(1,7),(2,7),(7,3),(7,4),(7,5),(7,6)],8)
[3,2,1,4,7,8,6,5]=>([(0,7),(1,7),(2,7),(6,3),(7,4),(7,5),(7,6)],8)
[3,2,1,4,6,8,7,5]=>([(0,7),(1,7),(2,7),(6,3),(6,4),(7,5),(7,6)],8)
[3,2,1,4,7,6,8,5]=>([(0,7),(1,7),(2,7),(4,6),(5,6),(7,3),(7,4),(7,5)],8)
[3,2,1,4,6,7,8,5]=>([(0,7),(1,7),(2,7),(5,3),(6,5),(7,4),(7,6)],8)
[2,3,1,4,8,7,6,5]=>([(0,7),(1,2),(2,7),(7,3),(7,4),(7,5),(7,6)],8)
[2,3,1,4,7,8,6,5]=>([(0,7),(1,3),(3,7),(6,2),(7,4),(7,5),(7,6)],8)
[2,3,1,4,7,6,8,5]=>([(0,7),(1,3),(3,7),(4,6),(5,6),(7,2),(7,4),(7,5)],8)
[2,3,1,4,6,7,8,5]=>([(0,7),(1,3),(3,7),(5,2),(6,5),(7,4),(7,6)],8)
[1,3,2,4,8,7,6,5]=>([(0,5),(0,6),(5,7),(6,7),(7,1),(7,2),(7,3),(7,4)],8)
[1,3,2,4,6,8,7,5]=>([(0,4),(0,5),(4,7),(5,7),(6,1),(6,2),(7,3),(7,6)],8)
[1,3,2,4,7,6,8,5]=>([(0,4),(0,5),(2,6),(3,6),(4,7),(5,7),(7,1),(7,2),(7,3)],8)
[1,3,2,4,6,7,8,5]=>([(0,3),(0,4),(3,7),(4,7),(5,1),(6,5),(7,2),(7,6)],8)
[2,1,3,4,8,7,6,5]=>([(0,7),(1,7),(6,2),(6,3),(6,4),(6,5),(7,6)],8)
[2,1,3,4,7,8,6,5]=>([(0,7),(1,7),(5,4),(6,2),(6,3),(6,5),(7,6)],8)
[2,1,3,4,7,6,8,5]=>([(0,7),(1,7),(3,6),(4,6),(5,2),(5,3),(5,4),(7,5)],8)
[2,1,3,4,6,7,8,5]=>([(0,7),(1,7),(4,5),(5,3),(6,2),(6,4),(7,6)],8)
[1,2,3,4,8,7,6,5]=>([(0,6),(5,7),(6,5),(7,1),(7,2),(7,3),(7,4)],8)
[1,2,3,4,7,8,6,5]=>([(0,6),(4,7),(5,3),(6,4),(7,1),(7,2),(7,5)],8)
[1,2,3,4,6,8,7,5]=>([(0,5),(4,7),(5,4),(6,2),(6,3),(7,1),(7,6)],8)
[1,2,3,4,7,6,8,5]=>([(0,5),(2,7),(3,7),(4,6),(5,4),(6,1),(6,2),(6,3)],8)
[1,2,3,4,6,7,8,5]=>([(0,6),(3,7),(4,5),(5,1),(6,3),(7,2),(7,4)],8)
[5,4,3,2,1,8,7,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,4,3,2,1,7,8,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[4,5,3,2,1,8,7,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[3,5,4,2,1,8,7,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,5,4,2,1,7,8,6]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[4,3,5,2,1,8,7,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(3,4),(4,5),(4,6),(4,7)],8)
[3,4,5,2,1,8,7,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(4,5),(4,6),(4,7)],8)
[2,5,4,3,1,8,7,6]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[2,5,4,3,1,7,8,6]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(7,2)],8)
[2,4,5,3,1,8,7,6]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,2)],8)
[2,4,5,3,1,7,8,6]=>([(0,6),(0,7),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3),(7,2)],8)
[3,2,5,4,1,8,7,6]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,2,5,4,1,7,8,6]=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[2,3,5,4,1,8,7,6]=>([(0,5),(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,2),(4,3)],8)
[4,3,2,5,1,8,7,6]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(7,4),(7,5),(7,6)],8)
[4,3,2,5,1,7,8,6]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(6,4),(7,5),(7,6)],8)
[3,4,2,5,1,8,7,6]=>([(0,3),(1,7),(2,4),(2,5),(2,6),(3,7),(7,4),(7,5),(7,6)],8)
[3,4,2,5,1,7,8,6]=>([(0,7),(1,5),(1,6),(2,4),(4,7),(6,3),(7,5),(7,6)],8)
[2,4,3,5,1,8,7,6]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(2,7),(3,7),(7,4),(7,5),(7,6)],8)
[2,4,3,5,1,7,8,6]=>([(0,6),(0,7),(1,3),(1,4),(3,5),(4,5),(5,6),(5,7),(7,2)],8)
[3,2,4,5,1,8,7,6]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(7,3)],8)
[2,3,4,5,1,8,7,6]=>([(0,5),(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,2),(4,3)],8)
[2,3,4,5,1,7,8,6]=>([(0,6),(0,7),(1,5),(3,6),(3,7),(4,3),(5,4),(7,2)],8)
[1,5,4,3,2,8,7,6]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,5,4,3,2,7,8,6]=>([(0,2),(0,3),(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(7,1)],8)
[1,4,5,3,2,8,7,6]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1)],8)
[1,4,5,3,2,7,8,6]=>([(0,3),(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(7,1)],8)
[1,3,5,4,2,7,8,6]=>([(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3),(7,1)],8)
[1,3,4,5,2,8,7,6]=>([(0,2),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,1),(4,3)],8)
[1,3,4,5,2,7,8,6]=>([(0,3),(0,5),(2,6),(2,7),(3,6),(3,7),(4,2),(5,4),(7,1)],8)
[2,1,5,4,3,8,7,6]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[2,1,4,5,3,8,7,6]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(6,2),(7,3),(7,4),(7,5)],8)
[1,2,5,4,3,8,7,6]=>([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,2),(4,3)],8)
[1,2,5,4,3,7,8,6]=>([(0,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3),(5,4),(7,1)],8)
[1,2,4,5,3,8,7,6]=>([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,2),(4,1),(4,3)],8)
[1,2,4,5,3,7,8,6]=>([(0,5),(2,6),(2,7),(3,6),(3,7),(4,3),(5,2),(5,4),(7,1)],8)
[1,3,2,5,4,8,7,6]=>([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(6,3),(6,4),(6,5),(7,3),(7,4),(7,5)],8)
[1,3,2,5,4,7,8,6]=>([(0,2),(0,3),(2,6),(2,7),(3,6),(3,7),(5,1),(6,4),(6,5),(7,4),(7,5)],8)
[2,1,3,5,4,8,7,6]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(7,2),(7,3)],8)
[2,1,3,5,4,7,8,6]=>([(0,7),(1,7),(3,5),(3,6),(4,5),(4,6),(6,2),(7,3),(7,4)],8)
[1,2,3,5,4,8,7,6]=>([(0,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,1),(4,2)],8)
[1,2,3,5,4,7,8,6]=>([(0,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,2),(5,3),(7,1)],8)
[4,3,2,1,5,8,7,6]=>([(0,7),(1,7),(2,7),(3,7),(7,4),(7,5),(7,6)],8)
[4,3,2,1,5,7,8,6]=>([(0,7),(1,7),(2,7),(3,7),(5,6),(7,4),(7,5)],8)
[2,4,3,1,5,8,7,6]=>([(0,7),(1,2),(1,3),(2,7),(3,7),(7,4),(7,5),(7,6)],8)
[3,2,4,1,5,8,7,6]=>([(0,7),(1,6),(2,6),(6,7),(7,3),(7,4),(7,5)],8)
[3,2,4,1,5,7,8,6]=>([(0,7),(1,6),(2,6),(4,5),(6,7),(7,3),(7,4)],8)
[2,3,4,1,5,8,7,6]=>([(0,7),(1,6),(2,7),(6,2),(7,3),(7,4),(7,5)],8)
[2,3,4,1,5,7,8,6]=>([(0,7),(1,5),(3,7),(5,3),(6,2),(7,4),(7,6)],8)
[1,4,3,2,5,8,7,6]=>([(0,4),(0,5),(0,6),(4,7),(5,7),(6,7),(7,1),(7,2),(7,3)],8)
[1,4,3,2,5,7,8,6]=>([(0,3),(0,4),(0,5),(3,7),(4,7),(5,7),(6,1),(7,2),(7,6)],8)
[1,3,4,2,5,7,8,6]=>([(0,4),(0,6),(2,7),(4,7),(5,1),(6,2),(7,3),(7,5)],8)
[2,1,4,3,5,8,7,6]=>([(0,5),(0,6),(1,5),(1,6),(5,7),(6,7),(7,2),(7,3),(7,4)],8)
[2,1,4,3,5,7,8,6]=>([(0,5),(0,6),(1,5),(1,6),(4,3),(5,7),(6,7),(7,2),(7,4)],8)
[1,2,4,3,5,8,7,6]=>([(0,6),(1,7),(2,7),(6,1),(6,2),(7,3),(7,4),(7,5)],8)
[1,2,4,3,5,7,8,6]=>([(0,6),(2,7),(3,7),(5,1),(6,2),(6,3),(7,4),(7,5)],8)
[3,2,1,4,5,8,7,6]=>([(0,7),(1,7),(2,7),(6,3),(6,4),(6,5),(7,6)],8)
[3,2,1,4,5,7,8,6]=>([(0,7),(1,7),(2,7),(5,4),(6,3),(6,5),(7,6)],8)
[2,3,1,4,5,7,8,6]=>([(0,7),(1,4),(4,7),(5,3),(6,2),(6,5),(7,6)],8)
[1,3,2,4,5,8,7,6]=>([(0,4),(0,5),(4,7),(5,7),(6,1),(6,2),(6,3),(7,6)],8)
[1,3,2,4,5,7,8,6]=>([(0,3),(0,4),(3,7),(4,7),(5,2),(6,1),(6,5),(7,6)],8)
[2,1,3,4,5,8,7,6]=>([(0,7),(1,7),(5,6),(6,2),(6,3),(6,4),(7,5)],8)
[2,1,3,4,5,7,8,6]=>([(0,7),(1,7),(4,3),(5,6),(6,2),(6,4),(7,5)],8)
[1,2,3,4,5,8,7,6]=>([(0,6),(4,5),(5,7),(6,4),(7,1),(7,2),(7,3)],8)
[1,2,3,4,5,7,8,6]=>([(0,6),(3,4),(4,7),(5,1),(6,3),(7,2),(7,5)],8)
[6,5,4,3,2,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,4,3,2,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[4,6,5,3,2,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,6,3,2,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8)
[4,5,6,3,2,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)
[3,6,5,4,2,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,6,4,2,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,6,5,2,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,6,5,2,1,8,7]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,3,6,2,1,8,7]=>([(0,5),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,3,6,2,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,5),(5,6),(5,7)],8)
[4,3,5,6,2,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(4,6),(4,7),(5,4)],8)
[3,4,5,6,2,1,8,7]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,5),(4,6),(4,7),(5,4)],8)
[2,6,5,4,3,1,8,7]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,6,4,3,1,8,7]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[2,4,6,5,3,1,8,7]=>([(0,6),(0,7),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3)],8)
[3,2,6,5,4,1,8,7]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,5,6,4,1,8,7]=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,3)],8)
[2,3,6,5,4,1,8,7]=>([(0,6),(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3),(5,4)],8)
[2,3,5,6,4,1,8,7]=>([(0,6),(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,3),(5,2),(5,4)],8)
[4,3,2,6,5,1,8,7]=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,2,6,5,1,8,7]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,3,6,5,1,8,7]=>([(0,6),(0,7),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,3,2,6,1,8,7]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(7,5),(7,6)],8)
[4,5,3,2,6,1,8,7]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(4,7),(7,5),(7,6)],8)
[3,5,4,2,6,1,8,7]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(7,5),(7,6)],8)
[4,3,5,2,6,1,8,7]=>([(0,4),(1,4),(2,7),(3,5),(3,6),(4,7),(7,5),(7,6)],8)
[3,4,5,2,6,1,8,7]=>([(0,5),(1,6),(1,7),(2,3),(3,4),(4,5),(5,6),(5,7)],8)
[2,5,4,3,6,1,8,7]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,7),(3,7),(4,7),(7,5),(7,6)],8)
[2,4,5,3,6,1,8,7]=>([(0,6),(0,7),(1,3),(1,4),(2,5),(3,5),(4,2),(5,6),(5,7)],8)
[3,2,5,4,6,1,8,7]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,7),(6,7),(7,3),(7,4)],8)
[4,3,2,5,6,1,8,7]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(7,4)],8)
[3,4,2,5,6,1,8,7]=>([(0,7),(1,5),(1,6),(2,3),(3,7),(4,5),(4,6),(7,4)],8)
[2,4,3,5,6,1,8,7]=>([(0,5),(0,6),(1,2),(1,3),(2,7),(3,7),(4,5),(4,6),(7,4)],8)
[2,3,4,5,6,1,8,7]=>([(0,6),(0,7),(1,5),(2,6),(2,7),(3,4),(4,2),(5,3)],8)
[1,6,5,4,3,2,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,6,4,3,2,8,7]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1)],8)
[1,5,4,6,3,2,8,7]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8)
[1,3,6,5,4,2,8,7]=>([(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,3)],8)
[1,3,4,5,6,2,8,7]=>([(0,2),(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(4,1),(5,3)],8)
[2,1,6,5,4,3,8,7]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,5,6,4,3,8,7]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[2,1,4,6,5,3,8,7]=>([(0,4),(0,5),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3)],8)
[2,1,5,4,6,3,8,7]=>([(0,4),(0,5),(0,7),(1,4),(1,5),(1,7),(4,6),(5,6),(6,2),(6,3),(7,2),(7,3)],8)
[2,1,4,5,6,3,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,4),(3,5),(6,2),(7,4),(7,5)],8)
[1,2,4,5,6,3,8,7]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(4,2),(5,1),(5,3)],8)
[3,2,1,6,5,4,8,7]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(5,3),(5,4),(6,3),(6,4),(7,3),(7,4)],8)
[2,3,1,6,5,4,8,7]=>([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,2,6,5,4,8,7]=>([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,2,5,6,4,8,7]=>([(0,2),(0,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(6,1),(7,4),(7,5)],8)
[2,1,3,6,5,4,8,7]=>([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3),(5,4)],8)
[2,1,3,5,6,4,8,7]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,3),(7,2),(7,4)],8)
[1,2,3,6,5,4,8,7]=>([(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,1),(5,2),(5,3)],8)
[1,2,3,5,6,4,8,7]=>([(0,4),(1,6),(1,7),(2,6),(2,7),(3,2),(4,5),(5,1),(5,3)],8)
[4,3,2,1,6,5,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[3,4,2,1,6,5,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[2,4,3,1,6,5,8,7]=>([(0,6),(0,7),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[3,2,4,1,6,5,8,7]=>([(0,7),(1,7),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4),(7,5),(7,6)],8)
[2,3,4,1,6,5,8,7]=>([(0,2),(1,6),(1,7),(2,3),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[1,3,4,2,6,5,8,7]=>([(0,1),(0,3),(1,2),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[2,1,4,3,6,5,8,7]=>([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8)
[1,2,4,3,6,5,8,7]=>([(0,1),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[2,3,1,4,6,5,8,7]=>([(0,7),(1,2),(2,7),(3,5),(3,6),(4,5),(4,6),(7,3),(7,4)],8)
[1,3,2,4,6,5,8,7]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(7,1),(7,2)],8)
[2,1,3,4,6,5,8,7]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(7,4)],8)
[1,2,3,4,6,5,8,7]=>([(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(4,3),(5,1),(5,2)],8)
[5,4,3,2,1,6,8,7]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(7,5),(7,6)],8)
[4,5,3,2,1,6,8,7]=>([(0,7),(1,7),(2,7),(3,4),(4,7),(7,5),(7,6)],8)
[3,5,4,2,1,6,8,7]=>([(0,7),(1,7),(2,3),(2,4),(3,7),(4,7),(7,5),(7,6)],8)
[4,3,5,2,1,6,8,7]=>([(0,7),(1,7),(2,6),(3,6),(6,7),(7,4),(7,5)],8)
[3,4,5,2,1,6,8,7]=>([(0,7),(1,7),(2,6),(3,7),(6,3),(7,4),(7,5)],8)
[2,5,4,3,1,6,8,7]=>([(0,7),(1,2),(1,3),(1,4),(2,7),(3,7),(4,7),(7,5),(7,6)],8)
[2,4,5,3,1,6,8,7]=>([(0,7),(1,3),(1,6),(2,7),(3,7),(6,2),(7,4),(7,5)],8)
[3,2,5,4,1,6,8,7]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(5,7),(6,7),(7,3),(7,4)],8)
[2,3,5,4,1,6,8,7]=>([(0,7),(1,6),(2,7),(3,7),(6,2),(6,3),(7,4),(7,5)],8)
[2,4,3,5,1,6,8,7]=>([(0,7),(1,4),(1,5),(4,6),(5,6),(6,7),(7,2),(7,3)],8)
[2,3,4,5,1,6,8,7]=>([(0,7),(1,6),(2,7),(5,2),(6,5),(7,3),(7,4)],8)
[1,4,5,3,2,6,8,7]=>([(0,4),(0,5),(0,6),(1,7),(4,7),(5,7),(6,1),(7,2),(7,3)],8)
[1,3,5,4,2,6,8,7]=>([(0,5),(0,6),(1,7),(2,7),(5,7),(6,1),(6,2),(7,3),(7,4)],8)
[2,1,5,4,3,6,8,7]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,7),(5,7),(6,7),(7,2),(7,3)],8)
[2,1,4,5,3,6,8,7]=>([(0,5),(0,6),(1,5),(1,6),(4,7),(5,7),(6,4),(7,2),(7,3)],8)
[1,2,5,4,3,6,8,7]=>([(0,6),(1,7),(2,7),(3,7),(6,1),(6,2),(6,3),(7,4),(7,5)],8)
[2,1,3,5,4,6,8,7]=>([(0,7),(1,7),(2,6),(3,6),(6,4),(6,5),(7,2),(7,3)],8)
[1,2,3,5,4,6,8,7]=>([(0,5),(1,7),(2,7),(5,6),(6,1),(6,2),(7,3),(7,4)],8)
[4,3,2,1,5,6,8,7]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(7,4)],8)
[3,2,4,1,5,6,8,7]=>([(0,7),(1,6),(2,6),(3,4),(3,5),(6,7),(7,3)],8)
[2,3,4,1,5,6,8,7]=>([(0,7),(1,5),(4,7),(5,4),(6,2),(6,3),(7,6)],8)
[1,4,3,2,5,6,8,7]=>([(0,3),(0,4),(0,5),(3,7),(4,7),(5,7),(6,1),(6,2),(7,6)],8)
[1,3,4,2,5,6,8,7]=>([(0,4),(0,5),(3,7),(4,7),(5,3),(6,1),(6,2),(7,6)],8)
[2,1,4,3,5,6,8,7]=>([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,4),(6,5),(7,5)],8)
[1,2,4,3,5,6,8,7]=>([(0,6),(3,7),(4,7),(5,1),(5,2),(6,3),(6,4),(7,5)],8)
[3,2,1,4,5,6,8,7]=>([(0,7),(1,7),(2,7),(5,6),(6,3),(6,4),(7,5)],8)
[2,3,1,4,5,6,8,7]=>([(0,7),(1,4),(4,7),(5,6),(6,2),(6,3),(7,5)],8)
[1,3,2,4,5,6,8,7]=>([(0,3),(0,4),(3,7),(4,7),(5,6),(6,1),(6,2),(7,5)],8)
[2,1,3,4,5,6,8,7]=>([(0,7),(1,7),(4,6),(5,4),(6,2),(6,3),(7,5)],8)
[1,2,3,4,5,6,8,7]=>([(0,6),(3,5),(4,3),(5,7),(6,4),(7,1),(7,2)],8)
[5,7,6,4,3,2,1,8]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,7,6,5,3,2,1,8]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,6,7,5,3,2,1,8]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,4,7,6,3,2,1,8]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,5,7,6,3,2,1,8]=>([(0,4),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,6,5,7,3,2,1,8]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(4,6),(5,6),(6,7)],8)
[3,5,7,6,4,2,1,8]=>([(0,7),(1,7),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[3,5,6,7,4,2,1,8]=>([(0,7),(1,7),(2,4),(2,6),(3,7),(4,7),(5,3),(6,5)],8)
[4,3,7,6,5,2,1,8]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[3,4,7,6,5,2,1,8]=>([(0,7),(1,7),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4),(6,5)],8)
[5,4,3,7,6,2,1,8]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,5,3,7,6,2,1,8]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(4,5),(4,6),(5,7),(6,7)],8)
[3,5,4,7,6,2,1,8]=>([(0,7),(1,7),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,3,5,7,6,2,1,8]=>([(0,7),(1,7),(2,6),(3,6),(4,7),(5,7),(6,4),(6,5)],8)
[3,6,5,4,7,2,1,8]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(7,6)],8)
[3,5,6,4,7,2,1,8]=>([(0,7),(1,7),(2,3),(2,4),(3,5),(4,6),(5,6),(6,7)],8)
[4,3,6,5,7,2,1,8]=>([(0,7),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,7)],8)
[2,7,6,5,4,3,1,8]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,6,7,5,4,3,1,8]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2)],8)
[2,5,7,6,4,3,1,8]=>([(0,7),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2),(6,3)],8)
[2,5,6,7,4,3,1,8]=>([(0,7),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(5,2),(6,5)],8)
[2,4,6,7,5,3,1,8]=>([(0,7),(1,4),(1,6),(2,7),(3,7),(4,7),(5,3),(6,2),(6,5)],8)
[2,5,4,7,6,3,1,8]=>([(0,7),(1,2),(1,3),(1,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,5,6,4,7,3,1,8]=>([(0,7),(1,2),(1,4),(1,5),(2,7),(3,6),(4,6),(5,3),(6,7)],8)
[2,5,4,6,7,3,1,8]=>([(0,7),(1,2),(1,3),(1,4),(2,7),(3,6),(4,6),(5,7),(6,5)],8)
[2,4,5,6,7,3,1,8]=>([(0,7),(1,3),(1,6),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[3,2,7,6,5,4,1,8]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[3,2,6,7,5,4,1,8]=>([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[3,2,5,7,6,4,1,8]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[3,2,6,5,7,4,1,8]=>([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,3),(6,3)],8)
[3,2,5,6,7,4,1,8]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(4,7),(5,7),(6,3)],8)
[2,3,7,6,5,4,1,8]=>([(0,7),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2),(6,3),(6,4),(6,5)],8)
[2,3,6,7,5,4,1,8]=>([(0,7),(1,6),(2,7),(3,7),(4,7),(5,4),(6,2),(6,3),(6,5)],8)
[2,3,5,7,6,4,1,8]=>([(0,7),(1,6),(2,7),(3,7),(4,7),(5,3),(5,4),(6,2),(6,5)],8)
[2,3,6,5,7,4,1,8]=>([(0,7),(1,5),(2,7),(3,6),(4,6),(5,2),(5,3),(5,4),(6,7)],8)
[2,3,5,6,7,4,1,8]=>([(0,7),(1,6),(2,7),(3,7),(4,5),(5,3),(6,2),(6,4)],8)
[4,3,2,6,7,5,1,8]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,4)],8)
[3,4,2,7,6,5,1,8]=>([(0,7),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[3,4,2,6,7,5,1,8]=>([(0,7),(1,5),(1,6),(2,4),(3,7),(4,5),(4,6),(5,7),(6,3)],8)
[3,2,4,6,7,5,1,8]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,7),(6,3),(6,4)],8)
[2,3,4,7,6,5,1,8]=>([(0,7),(1,5),(2,7),(3,7),(4,7),(5,6),(6,2),(6,3),(6,4)],8)
[2,3,4,6,7,5,1,8]=>([(0,7),(1,5),(2,7),(3,7),(4,3),(5,6),(6,2),(6,4)],8)
[5,4,3,2,7,6,1,8]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(6,5),(7,5)],8)
[4,5,3,2,7,6,1,8]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5),(7,5)],8)
[3,5,4,2,7,6,1,8]=>([(0,5),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[4,3,5,2,7,6,1,8]=>([(0,4),(1,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[3,4,5,2,7,6,1,8]=>([(0,7),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6),(5,7),(6,7)],8)
[3,2,5,4,7,6,1,8]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(5,3),(5,4),(6,3),(6,4)],8)
[4,3,2,5,7,6,1,8]=>([(0,7),(1,6),(2,6),(3,6),(4,7),(5,7),(6,4),(6,5)],8)
[3,4,2,5,7,6,1,8]=>([(0,7),(1,6),(2,3),(3,6),(4,7),(5,7),(6,4),(6,5)],8)
[2,3,4,5,7,6,1,8]=>([(0,7),(1,5),(2,7),(3,7),(4,6),(5,4),(6,2),(6,3)],8)
[3,6,5,4,2,7,1,8]=>([(0,7),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(7,6)],8)
[3,5,6,4,2,7,1,8]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,7),(5,7),(7,6)],8)
[3,4,6,5,2,7,1,8]=>([(0,3),(1,7),(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[3,5,4,6,2,7,1,8]=>([(0,6),(1,5),(2,3),(2,4),(3,7),(4,7),(5,6),(7,5)],8)
[2,5,4,6,3,7,1,8]=>([(0,7),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6),(6,7)],8)
[3,2,6,5,4,7,1,8]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7),(7,3)],8)
[2,3,5,6,4,7,1,8]=>([(0,7),(1,5),(2,6),(3,6),(4,3),(5,2),(5,4),(6,7)],8)
[4,3,2,6,5,7,1,8]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(6,4),(7,4)],8)
[3,4,2,6,5,7,1,8]=>([(0,3),(1,4),(2,6),(2,7),(3,6),(3,7),(5,4),(6,5),(7,5)],8)
[2,4,3,6,5,7,1,8]=>([(0,2),(0,3),(1,4),(2,6),(2,7),(3,6),(3,7),(5,4),(6,5),(7,5)],8)
[2,3,4,6,5,7,1,8]=>([(0,7),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3),(6,7)],8)
[3,5,4,2,6,7,1,8]=>([(0,7),(1,6),(2,3),(2,4),(3,7),(4,7),(5,6),(7,5)],8)
[2,5,4,3,6,7,1,8]=>([(0,6),(1,2),(1,3),(1,4),(2,7),(3,7),(4,7),(5,6),(7,5)],8)
[2,3,5,4,6,7,1,8]=>([(0,6),(1,5),(2,7),(3,7),(4,6),(5,2),(5,3),(7,4)],8)
[1,7,6,5,4,3,2,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,6,7,5,4,3,2,8]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1)],8)
[1,6,5,7,4,3,2,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[1,5,6,7,4,3,2,8]=>([(0,2),(0,3),(0,4),(0,6),(1,7),(2,7),(3,7),(4,7),(5,1),(6,5)],8)
[1,4,7,6,5,3,2,8]=>([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3)],8)
[1,4,6,7,5,3,2,8]=>([(0,3),(0,4),(0,6),(1,7),(2,7),(3,7),(4,7),(5,2),(6,1),(6,5)],8)
[1,5,6,4,7,3,2,8]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,6),(5,1),(6,7)],8)
[1,4,6,5,7,3,2,8]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(6,7)],8)
[1,5,4,6,7,3,2,8]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,1)],8)
[1,3,6,7,5,4,2,8]=>([(0,4),(0,6),(1,7),(2,7),(3,7),(4,7),(5,3),(6,1),(6,2),(6,5)],8)
[1,3,5,7,6,4,2,8]=>([(0,4),(0,6),(1,7),(2,7),(3,7),(4,7),(5,2),(5,3),(6,1),(6,5)],8)
[1,3,6,5,7,4,2,8]=>([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(5,2),(5,3),(6,7)],8)
[1,3,5,6,7,4,2,8]=>([(0,3),(0,6),(1,7),(2,7),(3,7),(4,5),(5,2),(6,1),(6,4)],8)
[1,3,4,6,7,5,2,8]=>([(0,3),(0,5),(1,7),(2,7),(3,7),(4,2),(5,6),(6,1),(6,4)],8)
[1,3,5,4,7,6,2,8]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,7),(4,1),(4,2),(5,7),(6,7)],8)
[1,4,3,5,7,6,2,8]=>([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,1),(6,2)],8)
[1,3,4,5,7,6,2,8]=>([(0,3),(0,5),(1,7),(2,7),(3,7),(4,6),(5,4),(6,1),(6,2)],8)
[1,5,4,6,3,7,2,8]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)
[1,3,6,5,4,7,2,8]=>([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,3),(7,6)],8)
[1,3,5,6,4,7,2,8]=>([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(5,4),(6,7)],8)
[1,4,3,6,5,7,2,8]=>([(0,1),(0,2),(0,3),(1,4),(2,6),(2,7),(3,6),(3,7),(5,4),(6,5),(7,5)],8)
[1,5,4,3,6,7,2,8]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,7),(5,6),(7,1)],8)
[1,4,5,3,6,7,2,8]=>([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,6),(5,1),(7,2)],8)
[1,3,4,5,6,7,2,8]=>([(0,2),(0,6),(1,7),(2,7),(3,5),(4,3),(5,1),(6,4)],8)
[2,1,7,6,5,4,3,8]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,1,6,7,5,4,3,8]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2)],8)
[2,1,5,6,7,4,3,8]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,7),(4,7),(5,7),(6,2)],8)
[2,1,5,4,6,7,3,8]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(3,2),(5,4),(6,3),(7,3)],8)
[2,1,4,5,6,7,3,8]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,2),(6,5),(7,3)],8)
[1,2,7,6,5,4,3,8]=>([(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4),(6,5)],8)
[1,2,6,7,5,4,3,8]=>([(0,6),(1,7),(2,7),(3,7),(4,7),(5,4),(6,1),(6,2),(6,3),(6,5)],8)
[1,2,5,7,6,4,3,8]=>([(0,6),(1,7),(2,7),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2),(6,5)],8)
[1,2,5,6,7,4,3,8]=>([(0,6),(1,7),(2,7),(3,7),(4,5),(5,3),(6,1),(6,2),(6,4)],8)
[1,2,4,6,7,5,3,8]=>([(0,6),(1,7),(2,7),(3,7),(4,3),(5,2),(5,4),(6,1),(6,5)],8)
[1,2,5,6,4,7,3,8]=>([(0,5),(1,7),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4),(6,7)],8)
[1,2,5,4,6,7,3,8]=>([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(5,4),(7,3)],8)
[1,2,4,5,6,7,3,8]=>([(0,6),(1,7),(2,7),(3,5),(4,3),(5,1),(6,2),(6,4)],8)
[3,2,1,7,6,5,4,8]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[3,2,1,5,7,6,4,8]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[3,2,1,6,5,7,4,8]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(5,4),(6,3),(7,3)],8)
[2,3,1,6,7,5,4,8]=>([(0,3),(1,4),(1,5),(1,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,2)],8)
[2,3,1,6,5,7,4,8]=>([(0,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(4,3),(5,4),(6,4),(7,3)],8)
[2,3,1,5,6,7,4,8]=>([(0,6),(0,7),(1,3),(2,5),(3,6),(3,7),(4,2),(6,5),(7,4)],8)
[1,3,2,7,6,5,4,8]=>([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,3,2,6,7,5,4,8]=>([(0,2),(0,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,1)],8)
[1,3,2,5,7,6,4,8]=>([(0,3),(0,4),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,1),(6,2)],8)
[1,3,2,6,5,7,4,8]=>([(0,1),(0,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(4,3),(5,4),(6,4),(7,3)],8)
[1,3,2,5,6,7,4,8]=>([(0,2),(0,3),(1,7),(2,5),(2,6),(3,5),(3,6),(4,1),(5,7),(6,4)],8)
[2,1,3,6,7,5,4,8]=>([(0,6),(1,6),(2,7),(3,7),(4,7),(5,2),(6,3),(6,4),(6,5)],8)
[1,2,3,7,6,5,4,8]=>([(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(6,1),(6,2),(6,3),(6,4)],8)
[1,2,3,6,7,5,4,8]=>([(0,5),(1,7),(2,7),(3,7),(4,3),(5,6),(6,1),(6,2),(6,4)],8)
[1,2,3,5,7,6,4,8]=>([(0,4),(1,7),(2,7),(3,7),(4,6),(5,2),(5,3),(6,1),(6,5)],8)
[1,2,3,6,5,7,4,8]=>([(0,4),(1,7),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3),(6,7)],8)
[1,2,3,5,6,7,4,8]=>([(0,5),(1,7),(2,7),(3,4),(4,1),(5,6),(6,2),(6,3)],8)
[4,3,2,1,7,6,5,8]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4),(6,4),(7,4)],8)
[4,3,2,1,6,7,5,8]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(6,5),(7,4)],8)
[3,2,4,1,7,6,5,8]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(6,3),(6,4),(6,5)],8)
[3,2,4,1,6,7,5,8]=>([(0,7),(1,7),(2,4),(2,6),(3,5),(4,3),(6,5),(7,4),(7,6)],8)
[2,3,4,1,7,6,5,8]=>([(0,2),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[2,3,4,1,6,7,5,8]=>([(0,6),(0,7),(1,4),(2,6),(2,7),(3,5),(4,2),(6,5),(7,3)],8)
[1,4,3,2,7,6,5,8]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4),(6,4),(7,4)],8)
[1,4,3,2,6,7,5,8]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,1)],8)
[1,3,4,2,6,7,5,8]=>([(0,3),(0,4),(1,6),(2,5),(2,7),(3,5),(3,7),(4,2),(5,6),(7,1)],8)
[2,1,4,3,6,7,5,8]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(3,2),(5,4),(6,3),(6,5),(7,3),(7,5)],8)
[1,2,4,3,6,7,5,8]=>([(0,4),(1,6),(2,5),(2,7),(3,5),(3,7),(4,2),(4,3),(5,6),(7,1)],8)
[3,2,1,4,7,6,5,8]=>([(0,6),(1,6),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4),(6,5)],8)
[2,3,1,4,6,7,5,8]=>([(0,7),(1,2),(2,7),(3,6),(4,6),(5,4),(7,3),(7,5)],8)
[1,3,2,4,7,6,5,8]=>([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,1),(6,2),(6,3)],8)
[1,2,3,4,7,6,5,8]=>([(0,5),(1,7),(2,7),(3,7),(4,6),(5,4),(6,1),(6,2),(6,3)],8)
[1,2,3,4,6,7,5,8]=>([(0,5),(1,7),(2,7),(3,6),(4,1),(5,3),(6,2),(6,4)],8)
[5,4,3,2,1,7,6,8]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[4,5,3,2,1,7,6,8]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5),(7,5)],8)
[3,5,4,2,1,7,6,8]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[3,4,5,2,1,7,6,8]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,4),(4,6),(4,7),(6,5),(7,5)],8)
[2,5,4,3,1,7,6,8]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[2,4,5,3,1,7,6,8]=>([(0,6),(0,7),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,2),(6,5),(7,5)],8)
[3,2,5,4,1,7,6,8]=>([(0,6),(0,7),(1,3),(1,4),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[2,3,5,4,1,7,6,8]=>([(0,6),(0,7),(1,4),(2,6),(2,7),(3,6),(3,7),(4,2),(4,3),(6,5),(7,5)],8)
[3,4,2,5,1,7,6,8]=>([(0,3),(1,7),(2,5),(2,6),(3,7),(5,4),(6,4),(7,5),(7,6)],8)
[2,4,3,5,1,7,6,8]=>([(0,2),(0,3),(1,5),(1,6),(2,7),(3,7),(5,4),(6,4),(7,5),(7,6)],8)
[2,3,4,5,1,7,6,8]=>([(0,6),(0,7),(1,4),(2,6),(2,7),(3,2),(4,3),(6,5),(7,5)],8)
[1,5,4,3,2,7,6,8]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[1,4,5,3,2,7,6,8]=>([(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,1),(6,5),(7,5)],8)
[1,3,5,4,2,7,6,8]=>([(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,1),(4,2),(6,5),(7,5)],8)
[1,4,3,5,2,7,6,8]=>([(0,1),(0,2),(0,3),(1,7),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)
[1,3,4,5,2,7,6,8]=>([(0,2),(0,4),(1,5),(1,6),(2,5),(2,6),(3,1),(4,3),(5,7),(6,7)],8)
[2,1,5,4,3,7,6,8]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,2),(7,2)],8)
[1,2,4,5,3,7,6,8]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1),(4,3),(5,7),(6,7)],8)
[3,2,1,5,4,7,6,8]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(6,3),(6,4),(7,3),(7,4)],8)
[2,3,1,5,4,7,6,8]=>([(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)
[1,3,2,5,4,7,6,8]=>([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)
[1,2,3,5,4,7,6,8]=>([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,1),(4,2),(5,7),(6,7)],8)
[4,3,2,1,5,7,6,8]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(7,4),(7,5)],8)
[3,2,4,1,5,7,6,8]=>([(0,6),(1,5),(2,5),(3,7),(4,7),(5,6),(6,3),(6,4)],8)
[2,3,4,1,5,7,6,8]=>([(0,7),(1,5),(2,7),(3,6),(4,6),(5,2),(7,3),(7,4)],8)
[1,4,3,2,5,7,6,8]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,7),(7,1),(7,2)],8)
[1,3,4,2,5,7,6,8]=>([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(7,2),(7,3)],8)
[1,2,4,3,5,7,6,8]=>([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)
[3,2,1,4,5,7,6,8]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(4,6),(5,6),(7,3)],8)
[2,3,1,4,5,7,6,8]=>([(0,7),(1,2),(2,7),(3,6),(4,6),(5,3),(5,4),(7,5)],8)
[1,3,2,4,5,7,6,8]=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
[2,1,3,4,5,7,6,8]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,2),(5,3),(7,4)],8)
[1,2,3,4,5,7,6,8]=>([(0,5),(1,7),(2,7),(3,4),(4,6),(5,3),(6,1),(6,2)],8)
[3,6,5,4,2,1,7,8]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(7,6)],8)
[4,3,6,5,2,1,7,8]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7),(7,4)],8)
[2,4,6,5,3,1,7,8]=>([(0,7),(1,4),(1,6),(2,7),(3,7),(4,7),(6,2),(6,3),(7,5)],8)
[2,4,5,6,3,1,7,8]=>([(0,7),(1,3),(1,6),(2,7),(3,7),(5,2),(6,5),(7,4)],8)
[2,3,6,5,4,1,7,8]=>([(0,7),(1,6),(2,7),(3,7),(4,7),(6,2),(6,3),(6,4),(7,5)],8)
[2,3,5,6,4,1,7,8]=>([(0,7),(1,6),(2,7),(3,7),(5,3),(6,2),(6,5),(7,4)],8)
[4,3,2,6,5,1,7,8]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7),(7,4)],8)
[2,4,3,6,5,1,7,8]=>([(0,7),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7),(7,2)],8)
[2,3,4,6,5,1,7,8]=>([(0,7),(1,5),(2,7),(3,7),(5,6),(6,2),(6,3),(7,4)],8)
[3,5,4,2,6,1,7,8]=>([(0,7),(1,6),(2,3),(2,4),(3,7),(4,7),(6,5),(7,6)],8)
[2,3,5,4,6,1,7,8]=>([(0,7),(1,5),(3,6),(4,6),(5,3),(5,4),(6,7),(7,2)],8)
[1,6,5,4,3,2,7,8]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(2,7),(3,7),(4,7),(5,7),(6,7),(7,1)],8)
[1,5,6,4,3,2,7,8]=>([(0,3),(0,4),(0,5),(0,6),(1,7),(3,7),(4,7),(5,7),(6,1),(7,2)],8)
[1,4,6,5,3,2,7,8]=>([(0,4),(0,5),(0,6),(1,7),(2,7),(4,7),(5,7),(6,1),(6,2),(7,3)],8)
[1,5,4,6,3,2,7,8]=>([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,6),(6,7),(7,1)],8)
[1,4,5,6,3,2,7,8]=>([(0,3),(0,4),(0,6),(1,7),(3,7),(4,7),(5,1),(6,5),(7,2)],8)
[1,3,5,6,4,2,7,8]=>([(0,4),(0,6),(1,7),(2,7),(4,7),(5,2),(6,1),(6,5),(7,3)],8)
[1,4,3,6,5,2,7,8]=>([(0,2),(0,3),(0,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7),(7,1)],8)
[1,5,4,3,6,2,7,8]=>([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,7),(5,6),(6,1),(7,6)],8)
[1,4,5,3,6,2,7,8]=>([(0,3),(0,4),(0,5),(2,6),(3,7),(4,6),(5,2),(6,7),(7,1)],8)
[1,4,3,5,6,2,7,8]=>([(0,3),(0,4),(0,5),(2,7),(3,6),(4,6),(5,7),(6,2),(7,1)],8)
[1,3,4,5,6,2,7,8]=>([(0,3),(0,6),(1,7),(3,7),(4,5),(5,1),(6,4),(7,2)],8)
[2,1,5,6,4,3,7,8]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(4,7),(5,7),(6,2),(7,3)],8)
[2,1,4,6,5,3,7,8]=>([(0,5),(0,6),(1,5),(1,6),(2,7),(3,7),(5,7),(6,2),(6,3),(7,4)],8)
[1,2,6,5,4,3,7,8]=>([(0,6),(1,7),(2,7),(3,7),(4,7),(6,1),(6,2),(6,3),(6,4),(7,5)],8)
[1,2,5,6,4,3,7,8]=>([(0,6),(1,7),(2,7),(3,7),(5,3),(6,1),(6,2),(6,5),(7,4)],8)
[1,2,4,6,5,3,7,8]=>([(0,6),(1,7),(2,7),(3,7),(5,2),(5,3),(6,1),(6,5),(7,4)],8)
[1,2,4,5,6,3,7,8]=>([(0,6),(1,7),(2,7),(4,5),(5,2),(6,1),(6,4),(7,3)],8)
[3,2,1,6,5,4,7,8]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(4,3),(5,4),(6,4),(7,4)],8)
[3,2,1,5,6,4,7,8]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(5,4),(6,5),(7,3)],8)
[2,3,1,6,5,4,7,8]=>([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7),(7,2)],8)
[2,3,1,5,6,4,7,8]=>([(0,5),(0,7),(1,2),(2,5),(2,7),(3,6),(5,6),(6,4),(7,3)],8)
[1,3,2,6,5,4,7,8]=>([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7),(7,1)],8)
[1,3,2,5,6,4,7,8]=>([(0,3),(0,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,2),(7,1)],8)
[1,2,3,6,5,4,7,8]=>([(0,5),(1,7),(2,7),(3,7),(5,6),(6,1),(6,2),(6,3),(7,4)],8)
[1,2,3,5,6,4,7,8]=>([(0,5),(1,7),(2,7),(4,2),(5,6),(6,1),(6,4),(7,3)],8)
[4,3,2,1,6,5,7,8]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(5,4),(6,5),(7,5)],8)
[2,4,3,1,6,5,7,8]=>([(0,6),(0,7),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(5,4),(6,5),(7,5)],8)
[3,2,4,1,6,5,7,8]=>([(0,7),(1,7),(2,5),(2,6),(4,3),(5,4),(6,4),(7,5),(7,6)],8)
[2,3,4,1,6,5,7,8]=>([(0,5),(0,6),(1,4),(3,5),(3,6),(4,3),(5,7),(6,7),(7,2)],8)
[2,1,4,3,6,5,7,8]=>([(0,6),(0,7),(1,6),(1,7),(3,2),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)
[1,2,4,3,6,5,7,8]=>([(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(5,7),(6,7),(7,1)],8)
[1,3,2,4,6,5,7,8]=>([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)
[2,1,3,4,6,5,7,8]=>([(0,6),(1,6),(3,7),(4,7),(5,3),(5,4),(6,5),(7,2)],8)
[1,2,3,4,6,5,7,8]=>([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8)
[3,5,4,2,1,6,7,8]=>([(0,7),(1,7),(2,4),(2,5),(4,7),(5,7),(6,3),(7,6)],8)
[2,5,4,3,1,6,7,8]=>([(0,7),(1,3),(1,4),(1,5),(3,7),(4,7),(5,7),(6,2),(7,6)],8)
[2,4,5,3,1,6,7,8]=>([(0,7),(1,4),(1,5),(3,7),(4,7),(5,3),(6,2),(7,6)],8)
[3,2,5,4,1,6,7,8]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(5,7),(6,7),(7,3)],8)
[2,3,5,4,1,6,7,8]=>([(0,7),(1,6),(3,7),(4,7),(5,2),(6,3),(6,4),(7,5)],8)
[2,4,3,5,1,6,7,8]=>([(0,7),(1,3),(1,4),(3,6),(4,6),(5,2),(6,7),(7,5)],8)
[1,5,4,3,2,6,7,8]=>([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,7),(5,7),(6,1),(7,6)],8)
[1,4,5,3,2,6,7,8]=>([(0,3),(0,4),(0,6),(2,7),(3,7),(4,7),(5,1),(6,2),(7,5)],8)
[1,3,4,5,2,6,7,8]=>([(0,3),(0,6),(2,7),(3,7),(4,2),(5,1),(6,4),(7,5)],8)
[2,1,5,4,3,6,7,8]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(4,7),(5,7),(6,7),(7,2)],8)
[2,1,4,5,3,6,7,8]=>([(0,6),(0,7),(1,6),(1,7),(3,5),(4,2),(5,4),(6,5),(7,3)],8)
[1,2,5,4,3,6,7,8]=>([(0,6),(2,7),(3,7),(4,7),(5,1),(6,2),(6,3),(6,4),(7,5)],8)
[3,2,1,5,4,6,7,8]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(5,3),(6,5),(7,5)],8)
[2,3,1,5,4,6,7,8]=>([(0,6),(0,7),(1,3),(3,6),(3,7),(4,2),(5,4),(6,5),(7,5)],8)
[1,3,2,5,4,6,7,8]=>([(0,2),(0,3),(2,5),(2,6),(3,5),(3,6),(4,1),(5,7),(6,7),(7,4)],8)
[2,1,3,5,4,6,7,8]=>([(0,7),(1,7),(3,6),(4,6),(5,2),(6,5),(7,3),(7,4)],8)
[1,2,3,5,4,6,7,8]=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)
[2,4,3,1,5,6,7,8]=>([(0,7),(1,3),(1,4),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,4,3,2,5,6,7,8]=>([(0,2),(0,3),(0,4),(2,7),(3,7),(4,7),(5,1),(6,5),(7,6)],8)
[1,3,4,2,5,6,7,8]=>([(0,3),(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(7,5)],8)
[2,1,4,3,5,6,7,8]=>([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,7),(6,7),(7,3)],8)
[1,2,4,3,5,6,7,8]=>([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8)
[1,3,2,4,5,6,7,8]=>([(0,2),(0,3),(2,7),(3,7),(4,5),(5,1),(6,4),(7,6)],8)
[1,2,3,4,8,6,7,5]=>([(0,6),(4,7),(5,3),(6,4),(7,1),(7,2),(7,5)],8)
[1,2,3,5,8,6,7,4]=>([(0,5),(4,3),(5,6),(6,2),(6,7),(7,1),(7,4)],8)
[1,2,3,7,5,6,4,8]=>([(0,5),(1,7),(2,7),(3,7),(4,3),(5,6),(6,1),(6,2),(6,4)],8)
[1,2,3,7,5,6,8,4]=>([(0,5),(2,7),(3,7),(4,3),(5,6),(6,1),(6,2),(6,4)],8)
[1,2,3,8,5,6,7,4]=>([(0,6),(4,5),(5,3),(6,7),(7,1),(7,2),(7,4)],8)
[1,2,3,8,5,7,6,4]=>([(0,5),(5,7),(6,3),(6,4),(7,1),(7,2),(7,6)],8)
[1,2,3,8,6,5,7,4]=>([(0,5),(3,7),(4,7),(5,6),(6,1),(6,2),(6,3),(6,4)],8)
[1,2,3,8,6,7,5,4]=>([(0,6),(5,4),(6,7),(7,1),(7,2),(7,3),(7,5)],8)
[1,2,4,3,8,6,7,5]=>([(0,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,2),(4,3),(7,1)],8)
[1,2,4,5,8,6,7,3]=>([(0,7),(4,6),(5,3),(6,2),(6,5),(7,1),(7,4)],8)
[1,2,4,7,5,6,8,3]=>([(0,6),(2,7),(3,7),(4,3),(5,2),(5,4),(6,1),(6,5)],8)
[1,2,4,8,5,6,7,3]=>([(0,7),(4,5),(5,3),(6,2),(6,4),(7,1),(7,6)],8)
[1,2,4,8,6,5,7,3]=>([(0,5),(3,7),(4,7),(5,2),(5,6),(6,1),(6,3),(6,4)],8)
[1,2,5,4,8,6,7,3]=>([(0,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3),(5,4),(7,1)],8)
[1,2,6,4,5,3,7,8]=>([(0,6),(1,7),(2,7),(3,7),(5,3),(6,1),(6,2),(6,5),(7,4)],8)
[1,2,6,4,5,7,8,3]=>([(0,6),(2,7),(3,7),(5,3),(6,1),(6,2),(6,5),(7,4)],8)
[1,2,7,4,5,6,8,3]=>([(0,6),(2,7),(3,7),(4,5),(5,3),(6,1),(6,2),(6,4)],8)
[1,2,8,4,5,6,7,3]=>([(0,7),(4,6),(5,3),(6,5),(7,1),(7,2),(7,4)],8)
[1,2,8,4,6,7,5,3]=>([(0,7),(5,4),(6,3),(6,5),(7,1),(7,2),(7,6)],8)
[1,2,8,4,7,6,5,3]=>([(0,7),(6,3),(6,4),(6,5),(7,1),(7,2),(7,6)],8)
[1,2,7,5,4,6,3,8]=>([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4),(6,7)],8)
[1,2,7,5,4,6,8,3]=>([(0,5),(2,7),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4),(6,7)],8)
[1,2,8,5,4,6,7,3]=>([(0,6),(3,7),(4,7),(6,1),(6,2),(6,3),(6,4),(7,5)],8)
[1,2,8,5,4,7,6,3]=>([(0,5),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,3),(5,4)],8)
[1,2,8,5,6,4,7,3]=>([(0,6),(3,7),(4,7),(5,4),(6,1),(6,2),(6,3),(6,5)],8)
[1,2,8,5,6,7,4,3]=>([(0,7),(5,6),(6,4),(7,1),(7,2),(7,3),(7,5)],8)
[1,2,8,6,5,4,7,3]=>([(0,6),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4),(6,5)],8)
[1,2,8,6,5,7,4,3]=>([(0,6),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4),(6,5)],8)
[1,2,8,7,5,6,4,3]=>([(0,7),(6,5),(7,1),(7,2),(7,3),(7,4),(7,6)],8)
[1,3,2,4,8,6,7,5]=>([(0,4),(0,5),(4,7),(5,7),(6,1),(7,2),(7,3),(7,6)],8)
[1,3,2,7,5,6,8,4]=>([(0,2),(0,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,1),(7,4)],8)
[1,3,2,8,5,7,6,4]=>([(0,3),(0,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,1),(7,2)],8)
[1,3,2,8,6,5,7,4]=>([(0,1),(0,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3),(7,3)],8)
[1,3,2,8,6,7,5,4]=>([(0,2),(0,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(7,1)],8)
[1,3,4,2,8,6,7,5]=>([(0,3),(0,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,2),(7,1)],8)
[1,3,4,5,8,6,7,2]=>([(0,3),(0,6),(4,7),(5,2),(6,4),(7,1),(7,5)],8)
[1,3,4,8,5,6,7,2]=>([(0,3),(0,6),(4,5),(5,2),(6,7),(7,1),(7,4)],8)
[1,3,6,4,5,2,8,7]=>([(0,3),(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,2),(5,1),(5,4)],8)
[1,3,6,4,5,7,2,8]=>([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(5,4),(6,7)],8)
[1,3,6,4,5,7,8,2]=>([(0,4),(0,6),(1,7),(2,7),(5,2),(6,1),(6,5),(7,3)],8)
[1,3,6,4,5,8,7,2]=>([(0,3),(0,5),(1,6),(1,7),(2,6),(2,7),(4,2),(5,1),(5,4)],8)
[1,3,7,4,5,6,2,8]=>([(0,3),(0,6),(1,7),(2,7),(3,7),(4,5),(5,2),(6,1),(6,4)],8)
[1,3,7,4,5,6,8,2]=>([(0,3),(0,6),(1,7),(2,7),(4,5),(5,2),(6,1),(6,4)],8)
[1,3,8,4,5,6,7,2]=>([(0,3),(0,7),(4,6),(5,2),(6,5),(7,1),(7,4)],8)
[1,3,8,4,6,5,7,2]=>([(0,4),(0,6),(2,7),(3,7),(5,2),(5,3),(6,1),(6,5)],8)
[1,3,8,4,6,7,5,2]=>([(0,4),(0,7),(5,3),(6,2),(6,5),(7,1),(7,6)],8)
[1,3,8,5,4,6,7,2]=>([(0,5),(0,6),(2,7),(3,7),(6,1),(6,2),(6,3),(7,4)],8)
[1,3,8,5,4,7,6,2]=>([(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(5,1),(5,2),(5,3)],8)
[1,3,8,5,6,7,4,2]=>([(0,4),(0,7),(5,6),(6,3),(7,1),(7,2),(7,5)],8)
[1,3,8,5,7,6,4,2]=>([(0,5),(0,7),(6,3),(6,4),(7,1),(7,2),(7,6)],8)
[1,3,8,6,5,7,4,2]=>([(0,5),(0,6),(3,7),(4,7),(6,1),(6,2),(6,3),(6,4)],8)
[1,3,8,7,5,6,4,2]=>([(0,5),(0,7),(6,4),(7,1),(7,2),(7,3),(7,6)],8)
[1,4,3,2,8,6,7,5]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,1)],8)
[1,4,3,5,8,6,7,2]=>([(0,3),(0,4),(0,5),(4,7),(5,7),(6,1),(7,2),(7,6)],8)
[1,4,3,8,5,6,7,2]=>([(0,2),(0,3),(0,4),(3,6),(3,7),(4,6),(4,7),(5,1),(7,5)],8)
[1,4,3,8,5,7,6,2]=>([(0,3),(0,4),(0,5),(4,6),(4,7),(5,6),(5,7),(7,1),(7,2)],8)
[1,4,3,8,6,5,7,2]=>([(0,1),(0,2),(0,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[1,4,3,8,6,7,5,2]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,1)],8)
[1,5,3,4,2,6,7,8]=>([(0,3),(0,4),(0,6),(2,7),(3,7),(4,7),(5,1),(6,2),(7,5)],8)
[1,5,3,4,2,7,8,6]=>([(0,3),(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(7,1)],8)
[1,5,3,4,2,8,7,6]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1)],8)
[1,5,3,4,6,2,8,7]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(3,7),(4,1),(5,6),(5,7)],8)
[1,5,3,4,6,7,2,8]=>([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,6),(5,1),(7,2)],8)
[1,5,3,4,6,7,8,2]=>([(0,3),(0,4),(0,6),(2,7),(4,7),(5,1),(6,2),(7,5)],8)
[1,5,3,4,8,6,7,2]=>([(0,3),(0,4),(0,5),(2,6),(2,7),(4,6),(4,7),(5,2),(7,1)],8)
[1,6,3,4,5,2,7,8]=>([(0,3),(0,4),(0,6),(1,7),(3,7),(4,7),(5,1),(6,5),(7,2)],8)
[1,6,3,4,5,8,7,2]=>([(0,2),(0,3),(0,5),(1,6),(1,7),(3,6),(3,7),(4,1),(5,4)],8)
[1,7,3,4,5,6,2,8]=>([(0,2),(0,3),(0,6),(1,7),(2,7),(3,7),(4,5),(5,1),(6,4)],8)
[1,7,3,4,5,6,8,2]=>([(0,2),(0,3),(0,6),(1,7),(3,7),(4,5),(5,1),(6,4)],8)
[1,8,3,4,5,6,7,2]=>([(0,2),(0,3),(0,7),(4,6),(5,4),(6,1),(7,5)],8)
[1,8,3,4,6,7,5,2]=>([(0,3),(0,4),(0,6),(5,2),(6,7),(7,1),(7,5)],8)
[1,8,3,4,7,6,5,2]=>([(0,4),(0,5),(0,6),(6,7),(7,1),(7,2),(7,3)],8)
[1,6,3,5,4,2,7,8]=>([(0,4),(0,5),(0,6),(1,7),(2,7),(4,7),(5,7),(6,1),(6,2),(7,3)],8)
[1,6,3,5,4,8,7,2]=>([(0,3),(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(4,6),(4,7),(5,1),(5,2)],8)
[1,7,3,5,4,6,2,8]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(6,7)],8)
[1,8,3,5,4,6,7,2]=>([(0,4),(0,5),(0,6),(1,7),(2,7),(6,1),(6,2),(7,3)],8)
[1,8,3,5,4,7,6,2]=>([(0,3),(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(5,1),(5,2)],8)
[1,8,3,5,6,4,7,2]=>([(0,3),(0,4),(0,6),(1,7),(2,7),(5,2),(6,1),(6,5)],8)
[1,8,3,5,6,7,4,2]=>([(0,3),(0,4),(0,7),(5,6),(6,2),(7,1),(7,5)],8)
[1,8,3,5,7,6,4,2]=>([(0,4),(0,5),(0,7),(6,2),(6,3),(7,1),(7,6)],8)
[1,7,3,6,5,4,2,8]=>([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3)],8)
[1,7,3,6,5,4,8,2]=>([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(5,7),(6,1),(6,2),(6,3)],8)
[1,8,3,6,5,4,7,2]=>([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(6,1),(6,2),(6,3)],8)
[1,8,3,7,5,6,4,2]=>([(0,4),(0,5),(0,7),(6,3),(7,1),(7,2),(7,6)],8)
[1,8,3,7,6,5,4,2]=>([(0,5),(0,6),(0,7),(7,1),(7,2),(7,3),(7,4)],8)
[1,6,4,3,5,2,7,8]=>([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,6),(6,7),(7,1)],8)
[1,6,4,3,5,8,7,2]=>([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,4,3,5,6,7,2]=>([(0,2),(0,3),(0,4),(0,5),(4,7),(5,7),(6,1),(7,6)],8)
[1,8,4,3,5,7,6,2]=>([(0,3),(0,4),(0,5),(0,6),(5,7),(6,7),(7,1),(7,2)],8)
[1,7,4,3,6,5,8,2]=>([(0,1),(0,2),(0,3),(0,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,8,4,3,6,5,7,2]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,8,4,3,6,7,5,2]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(4,7),(5,6),(5,7),(7,1)],8)
[1,6,4,5,3,2,7,8]=>([(0,3),(0,4),(0,5),(0,6),(1,7),(3,7),(4,7),(5,7),(6,1),(7,2)],8)
[1,6,4,5,3,2,8,7]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1)],8)
[1,6,4,5,3,8,7,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(3,6),(3,7),(4,6),(4,7),(5,1)],8)
[1,7,4,5,3,6,8,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,7),(4,6),(5,1),(6,7)],8)
[1,8,4,5,3,6,7,2]=>([(0,3),(0,4),(0,5),(0,6),(1,7),(5,7),(6,1),(7,2)],8)
[1,7,4,5,6,3,8,2]=>([(0,2),(0,3),(0,4),(0,6),(1,7),(3,7),(4,7),(5,1),(6,5)],8)
[1,8,4,5,6,3,7,2]=>([(0,2),(0,3),(0,4),(0,6),(1,7),(4,7),(5,1),(6,5)],8)
[1,8,4,5,6,7,3,2]=>([(0,2),(0,3),(0,4),(0,7),(5,6),(6,1),(7,5)],8)
[1,7,4,6,5,3,2,8]=>([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2)],8)
[1,8,4,6,5,3,7,2]=>([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(5,7),(6,1),(6,2)],8)
[1,8,4,6,5,7,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(6,1),(6,2)],8)
[1,8,4,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)
[1,7,5,4,3,6,2,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)
[1,7,5,4,3,6,8,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,7),(5,6),(7,6)],8)
[1,8,5,4,3,6,7,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7),(7,1)],8)
[1,8,5,4,3,7,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,5,4,6,3,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,7),(4,6),(5,6),(6,7)],8)
[1,8,5,4,6,7,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7),(7,1)],8)
[1,8,5,4,7,6,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,6,4,5,3,2,8]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1)],8)
[1,8,6,4,5,3,7,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(4,7),(5,7),(6,1)],8)
[1,8,6,4,5,7,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(5,7),(6,1)],8)
[1,8,7,4,5,6,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,7),(6,1),(7,6)],8)
[1,8,7,4,6,5,3,2]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)
[1,8,6,5,4,3,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,8,6,5,4,7,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)
[1,8,7,5,4,6,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)
[1,8,7,5,6,4,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)
[2,1,3,4,8,6,7,5]=>([(0,7),(1,7),(5,4),(6,2),(6,3),(6,5),(7,6)],8)
[2,1,3,5,8,6,7,4]=>([(0,7),(1,7),(5,3),(6,2),(6,5),(7,4),(7,6)],8)
[2,1,3,8,5,6,7,4]=>([(0,7),(1,7),(5,2),(6,5),(7,3),(7,4),(7,6)],8)
[2,1,3,8,5,7,6,4]=>([(0,7),(1,7),(6,2),(6,3),(7,4),(7,5),(7,6)],8)
[2,1,3,8,6,5,7,4]=>([(0,7),(1,7),(4,6),(5,6),(7,2),(7,3),(7,4),(7,5)],8)
[2,1,3,8,6,7,5,4]=>([(0,7),(1,7),(6,2),(7,3),(7,4),(7,5),(7,6)],8)
[2,1,4,3,8,6,7,5]=>([(0,6),(0,7),(1,6),(1,7),(5,2),(6,3),(6,4),(6,5),(7,3),(7,4),(7,5)],8)
[2,1,4,5,8,6,7,3]=>([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(5,4),(7,5)],8)
[2,1,4,8,5,6,7,3]=>([(0,6),(0,7),(1,6),(1,7),(4,5),(5,3),(7,2),(7,4)],8)
[2,1,4,8,5,7,6,3]=>([(0,6),(0,7),(1,6),(1,7),(5,3),(5,4),(7,2),(7,5)],8)
[2,1,4,8,6,5,7,3]=>([(0,6),(0,7),(1,6),(1,7),(3,5),(4,5),(7,2),(7,3),(7,4)],8)
[2,1,4,8,6,7,5,3]=>([(0,6),(0,7),(1,6),(1,7),(5,4),(7,2),(7,3),(7,5)],8)
[2,1,5,4,8,6,7,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,2),(6,3),(6,4),(7,3),(7,4)],8)
[2,1,6,4,5,3,8,7]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[2,1,6,4,5,7,8,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(3,4),(4,2),(6,3),(7,4)],8)
[2,1,6,4,5,8,7,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(6,2),(7,3),(7,4)],8)
[2,1,8,4,5,6,7,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(3,4),(4,2),(7,3)],8)
[2,1,8,4,5,7,6,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,2),(4,3),(7,4)],8)
[2,1,7,4,6,5,8,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(3,7),(5,7),(6,2),(6,3)],8)
[2,1,8,4,6,5,7,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(3,4),(7,2),(7,3)],8)
[2,1,8,4,6,7,5,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(7,2),(7,4)],8)
[2,1,8,4,7,6,5,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(7,2),(7,3),(7,4)],8)
[2,1,8,5,4,6,7,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(3,2),(6,3),(7,3)],8)
[2,1,8,5,4,7,6,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8)
[2,1,7,5,6,4,8,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,7),(4,7),(5,7),(6,2)],8)
[2,1,8,5,6,4,7,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(6,2),(7,3)],8)
[2,1,8,5,6,7,4,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(7,2)],8)
[2,1,8,5,7,6,4,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(7,2),(7,3)],8)
[2,1,8,6,5,4,7,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(4,7),(5,7),(6,7)],8)
[2,1,8,6,5,7,4,3]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(6,2),(7,2)],8)
[2,1,8,7,5,6,4,3]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8)
[2,3,1,7,5,6,4,8]=>([(0,3),(1,4),(1,5),(1,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,2)],8)
[2,3,1,8,5,6,7,4]=>([(0,5),(0,6),(0,7),(1,3),(3,5),(3,6),(3,7),(4,2),(7,4)],8)
[2,3,1,8,6,7,5,4]=>([(0,3),(1,4),(1,5),(1,6),(1,7),(3,4),(3,5),(3,6),(3,7),(7,2)],8)
[2,3,4,1,8,6,7,5]=>([(0,5),(0,6),(0,7),(1,4),(3,5),(3,6),(3,7),(4,3),(7,2)],8)
[2,3,4,5,8,6,7,1]=>([(1,6),(4,7),(5,2),(6,4),(7,3),(7,5)],8)
[2,3,4,7,5,6,1,8]=>([(0,7),(1,5),(2,7),(3,7),(4,3),(5,6),(6,2),(6,4)],8)
[2,3,4,7,5,6,8,1]=>([(1,5),(2,7),(3,7),(4,3),(5,6),(6,2),(6,4)],8)
[2,3,4,8,5,6,7,1]=>([(1,6),(4,5),(5,2),(6,7),(7,3),(7,4)],8)
[2,3,4,8,5,7,6,1]=>([(1,5),(5,7),(6,3),(6,4),(7,2),(7,6)],8)
[2,3,4,8,6,5,7,1]=>([(1,5),(3,7),(4,7),(5,6),(6,2),(6,3),(6,4)],8)
[2,3,4,8,6,7,5,1]=>([(1,6),(5,4),(6,7),(7,2),(7,3),(7,5)],8)
[2,3,5,4,8,6,7,1]=>([(1,5),(3,6),(3,7),(4,6),(4,7),(5,3),(5,4),(7,2)],8)
[2,3,6,4,5,1,7,8]=>([(0,7),(1,6),(2,7),(3,7),(5,3),(6,2),(6,5),(7,4)],8)
[2,3,6,4,5,1,8,7]=>([(0,6),(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,3),(5,2),(5,4)],8)
[2,3,6,4,5,7,8,1]=>([(1,6),(2,7),(3,7),(5,3),(6,2),(6,5),(7,4)],8)
[2,3,6,4,5,8,7,1]=>([(1,5),(2,6),(2,7),(3,6),(3,7),(4,3),(5,2),(5,4)],8)
[2,3,7,4,5,6,8,1]=>([(1,6),(2,7),(3,7),(4,5),(5,3),(6,2),(6,4)],8)
[2,3,8,4,5,6,7,1]=>([(1,7),(4,6),(5,4),(6,2),(7,3),(7,5)],8)
[2,3,7,4,6,5,8,1]=>([(1,6),(2,7),(3,7),(4,7),(5,3),(5,4),(6,2),(6,5)],8)
[2,3,8,4,6,7,5,1]=>([(1,7),(5,4),(6,3),(6,5),(7,2),(7,6)],8)
[2,3,7,5,4,6,1,8]=>([(0,7),(1,5),(2,7),(3,6),(4,6),(5,2),(5,3),(5,4),(6,7)],8)
[2,3,7,5,4,6,8,1]=>([(1,5),(2,7),(3,6),(4,6),(5,2),(5,3),(5,4),(6,7)],8)
[2,3,8,5,4,6,7,1]=>([(1,6),(3,7),(4,7),(6,2),(6,3),(6,4),(7,5)],8)
[2,3,7,5,6,4,1,8]=>([(0,7),(1,6),(2,7),(3,7),(4,7),(5,4),(6,2),(6,3),(6,5)],8)
[2,3,7,5,6,4,8,1]=>([(1,6),(2,7),(3,7),(4,7),(5,4),(6,2),(6,3),(6,5)],8)
[2,3,8,5,6,4,7,1]=>([(1,6),(3,7),(4,7),(5,4),(6,2),(6,3),(6,5)],8)
[2,3,8,5,6,7,4,1]=>([(1,7),(5,6),(6,4),(7,2),(7,3),(7,5)],8)
[2,3,8,5,7,6,4,1]=>([(1,7),(6,4),(6,5),(7,2),(7,3),(7,6)],8)
[2,3,8,6,5,4,7,1]=>([(1,6),(3,7),(4,7),(5,7),(6,2),(6,3),(6,4),(6,5)],8)
[2,4,3,5,8,6,7,1]=>([(1,3),(1,4),(3,7),(4,7),(6,2),(7,5),(7,6)],8)
[2,4,3,7,5,6,8,1]=>([(1,3),(1,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(7,2)],8)
[2,4,3,8,5,6,7,1]=>([(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(5,2),(7,5)],8)
[2,4,3,8,5,7,6,1]=>([(1,4),(1,5),(4,6),(4,7),(5,6),(5,7),(7,2),(7,3)],8)
[2,4,3,8,6,5,7,1]=>([(1,2),(1,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[2,5,3,4,1,6,7,8]=>([(0,7),(1,4),(1,5),(3,7),(4,7),(5,3),(6,2),(7,6)],8)
[2,5,3,4,1,8,7,6]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,2)],8)
[2,5,3,4,6,7,1,8]=>([(0,6),(1,3),(1,5),(2,7),(3,7),(4,6),(5,2),(7,4)],8)
[2,5,3,4,6,7,8,1]=>([(1,4),(1,5),(3,7),(4,7),(5,3),(6,2),(7,6)],8)
[2,5,3,4,6,8,7,1]=>([(1,3),(1,6),(2,7),(3,7),(6,2),(7,4),(7,5)],8)
[2,5,3,4,7,6,8,1]=>([(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(5,7),(6,7)],8)
[2,5,3,4,8,6,7,1]=>([(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3),(7,2)],8)
[2,5,3,4,8,7,6,1]=>([(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,2)],8)
[2,6,3,4,5,1,7,8]=>([(0,7),(1,3),(1,6),(2,7),(3,7),(5,2),(6,5),(7,4)],8)
[2,6,3,4,5,7,8,1]=>([(1,3),(1,6),(2,7),(3,7),(5,2),(6,5),(7,4)],8)
[2,6,3,4,5,8,7,1]=>([(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(4,2),(5,4)],8)
[2,7,3,4,5,6,1,8]=>([(0,7),(1,3),(1,6),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[2,8,3,4,5,6,7,1]=>([(1,3),(1,7),(4,6),(5,4),(6,2),(7,5)],8)
[2,8,3,4,5,7,6,1]=>([(1,4),(1,6),(5,7),(6,5),(7,2),(7,3)],8)
[2,6,3,5,4,1,8,7]=>([(0,6),(0,7),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3)],8)
[2,6,3,5,4,7,8,1]=>([(1,4),(1,6),(2,7),(3,7),(4,7),(6,2),(6,3),(7,5)],8)
[2,6,3,5,4,8,7,1]=>([(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3)],8)
[2,7,3,5,4,6,8,1]=>([(1,2),(1,5),(2,7),(3,6),(4,6),(5,3),(5,4),(6,7)],8)
[2,8,3,5,4,7,6,1]=>([(1,2),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3),(5,4)],8)
[2,7,3,5,6,4,8,1]=>([(1,4),(1,6),(2,7),(3,7),(4,7),(5,3),(6,2),(6,5)],8)
[2,8,3,5,6,7,4,1]=>([(1,4),(1,7),(5,6),(6,3),(7,2),(7,5)],8)
[2,8,3,5,7,6,4,1]=>([(1,5),(1,7),(6,3),(6,4),(7,2),(7,6)],8)
[2,7,3,6,5,4,1,8]=>([(0,7),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2),(6,3),(6,4)],8)
[2,8,3,7,5,6,4,1]=>([(1,5),(1,7),(6,4),(7,2),(7,3),(7,6)],8)
[2,8,3,7,6,5,4,1]=>([(1,6),(1,7),(7,2),(7,3),(7,4),(7,5)],8)
[2,5,4,3,8,6,7,1]=>([(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(7,2)],8)
[2,6,4,3,5,1,8,7]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8)
[2,6,4,3,5,7,8,1]=>([(1,3),(1,4),(1,5),(3,7),(4,6),(5,6),(6,7),(7,2)],8)
[2,6,4,3,5,8,7,1]=>([(1,2),(1,3),(1,4),(2,5),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,4,3,5,6,8,1]=>([(1,2),(1,3),(1,5),(2,7),(3,7),(4,6),(5,6),(7,4)],8)
[2,8,4,3,5,6,7,1]=>([(1,3),(1,4),(1,5),(4,7),(5,7),(6,2),(7,6)],8)
[2,8,4,3,5,7,6,1]=>([(1,2),(1,3),(1,4),(3,7),(4,7),(7,5),(7,6)],8)
[2,7,4,3,6,5,8,1]=>([(1,2),(1,3),(1,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,8,4,3,6,5,7,1]=>([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,8,4,3,6,7,5,1]=>([(1,3),(1,4),(1,5),(4,6),(4,7),(5,6),(5,7),(7,2)],8)
[2,8,4,3,7,6,5,1]=>([(1,2),(1,3),(1,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[2,6,4,5,3,1,7,8]=>([(0,7),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(6,2),(7,5)],8)
[2,6,4,5,3,7,8,1]=>([(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(6,2),(7,5)],8)
[2,8,4,5,3,6,7,1]=>([(1,2),(1,4),(1,6),(3,7),(4,7),(6,3),(7,5)],8)
[2,7,4,5,6,3,1,8]=>([(0,7),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(5,2),(6,5)],8)
[2,7,4,5,6,3,8,1]=>([(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(5,2),(6,5)],8)
[2,8,4,5,6,3,7,1]=>([(1,2),(1,4),(1,6),(3,7),(4,7),(5,3),(6,5)],8)
[2,8,4,5,6,7,3,1]=>([(1,3),(1,4),(1,7),(5,6),(6,2),(7,5)],8)
[2,7,4,6,5,3,1,8]=>([(0,7),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2),(6,3)],8)
[2,7,4,6,5,3,8,1]=>([(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2),(6,3)],8)
[2,8,4,6,5,3,7,1]=>([(1,2),(1,5),(1,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[2,8,4,7,6,5,3,1]=>([(1,5),(1,6),(1,7),(7,2),(7,3),(7,4)],8)
[2,7,5,4,3,6,8,1]=>([(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,7),(5,6),(7,6)],8)
[2,8,5,4,3,6,7,1]=>([(1,2),(1,3),(1,4),(1,5),(3,7),(4,7),(5,7),(7,6)],8)
[2,8,5,4,3,7,6,1]=>([(1,2),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,5,4,6,3,8,1]=>([(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[2,8,5,4,6,7,3,1]=>([(1,2),(1,3),(1,4),(1,5),(4,7),(5,7),(7,6)],8)
[2,8,5,4,7,6,3,1]=>([(1,2),(1,3),(1,4),(1,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,6,4,5,3,8,1]=>([(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2)],8)
[2,8,7,4,5,6,3,1]=>([(1,3),(1,4),(1,5),(1,7),(6,2),(7,6)],8)
[2,8,7,4,6,5,3,1]=>([(1,4),(1,5),(1,6),(1,7),(7,2),(7,3)],8)
[2,8,7,5,4,6,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(5,7),(6,7)],8)
[2,8,7,5,6,4,3,1]=>([(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8)
[3,2,1,4,8,6,7,5]=>([(0,7),(1,7),(2,7),(6,3),(7,4),(7,5),(7,6)],8)
[3,2,1,5,8,6,7,4]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(4,5),(7,3),(7,4)],8)
[3,2,1,7,5,6,4,8]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(5,3),(6,4),(7,4)],8)
[3,2,1,7,5,6,8,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(6,4),(7,3)],8)
[3,2,1,8,5,6,7,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(7,3)],8)
[3,2,1,8,5,7,6,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(7,3),(7,4)],8)
[3,2,1,8,6,5,7,4]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3),(7,3)],8)
[3,2,1,8,6,7,5,4]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[3,2,4,1,8,6,7,5]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(6,3),(7,4),(7,5),(7,6)],8)
[3,2,4,5,8,6,7,1]=>([(1,7),(2,7),(5,4),(6,3),(6,5),(7,6)],8)
[3,2,4,7,5,6,8,1]=>([(1,6),(2,6),(3,7),(4,5),(5,7),(6,3),(6,4)],8)
[3,2,4,8,5,6,7,1]=>([(1,7),(2,7),(5,3),(6,5),(7,4),(7,6)],8)
[3,2,4,8,6,7,5,1]=>([(1,7),(2,7),(6,3),(7,4),(7,5),(7,6)],8)
[3,2,5,4,8,6,7,1]=>([(1,6),(1,7),(2,6),(2,7),(5,3),(6,4),(6,5),(7,4),(7,5)],8)
[3,2,6,4,5,1,8,7]=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,3)],8)
[3,2,7,4,5,6,1,8]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(4,7),(5,7),(6,3)],8)
[3,2,8,4,5,6,7,1]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(5,4),(7,3)],8)
[3,2,7,4,6,5,1,8]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[3,2,7,4,6,5,8,1]=>([(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[3,2,8,4,6,5,7,1]=>([(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(6,3),(6,4)],8)
[3,2,7,5,4,6,1,8]=>([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,3),(6,3)],8)
[3,2,8,5,4,6,7,1]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(4,3),(6,4),(7,4)],8)
[3,2,8,5,4,7,6,1]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8)
[3,2,7,5,6,4,1,8]=>([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[3,2,7,5,6,4,8,1]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[3,2,8,5,6,4,7,1]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(6,3),(7,4)],8)
[3,2,8,5,7,6,4,1]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(7,3),(7,4)],8)
[3,2,8,6,5,7,4,1]=>([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3),(7,3)],8)
[3,2,8,7,5,6,4,1]=>([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[4,2,3,1,5,7,6,8]=>([(0,7),(1,7),(2,3),(3,7),(4,6),(5,6),(7,4),(7,5)],8)
[4,2,3,1,5,7,8,6]=>([(0,7),(1,7),(2,4),(4,7),(6,3),(7,5),(7,6)],8)
[4,2,3,1,5,8,7,6]=>([(0,7),(1,7),(2,3),(3,7),(7,4),(7,5),(7,6)],8)
[4,2,3,1,6,5,7,8]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(5,4),(6,5),(7,5)],8)
[4,2,3,1,6,5,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[4,2,3,1,6,7,8,5]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(3,5),(4,6),(4,7),(7,3)],8)
[4,2,3,1,6,8,7,5]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(5,6),(5,7),(7,3),(7,4)],8)
[4,2,3,1,7,6,5,8]=>([(0,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4),(6,4),(7,4)],8)
[4,2,3,1,7,6,8,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[4,2,3,1,8,6,7,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)
[4,2,3,1,8,7,6,5]=>([(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[4,2,3,5,1,6,8,7]=>([(0,7),(1,6),(2,3),(3,7),(6,4),(6,5),(7,6)],8)
[4,2,3,5,1,7,8,6]=>([(0,7),(1,5),(1,6),(2,4),(4,7),(6,3),(7,5),(7,6)],8)
[4,2,3,5,1,8,7,6]=>([(0,3),(1,7),(2,4),(2,5),(2,6),(3,7),(7,4),(7,5),(7,6)],8)
[4,2,3,5,6,1,8,7]=>([(0,7),(1,5),(1,6),(2,3),(3,7),(4,5),(4,6),(7,4)],8)
[4,2,3,5,6,8,7,1]=>([(1,7),(2,5),(5,7),(6,3),(6,4),(7,6)],8)
[4,2,3,5,8,7,6,1]=>([(1,7),(2,3),(3,7),(7,4),(7,5),(7,6)],8)
[4,2,3,6,5,8,7,1]=>([(1,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[4,2,3,7,5,6,1,8]=>([(0,7),(1,5),(1,6),(2,4),(3,7),(4,5),(4,6),(5,7),(6,3)],8)
[4,2,3,7,5,6,8,1]=>([(1,5),(1,7),(2,4),(3,6),(4,5),(4,7),(5,6),(7,3)],8)
[4,2,3,8,5,6,7,1]=>([(1,6),(1,7),(2,4),(3,5),(4,6),(4,7),(7,3)],8)
[4,2,3,8,5,7,6,1]=>([(1,6),(1,7),(2,5),(5,6),(5,7),(7,3),(7,4)],8)
[4,2,3,7,6,5,8,1]=>([(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,2,3,8,7,6,5,1]=>([(1,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[5,2,3,4,1,6,8,7]=>([(0,7),(1,7),(2,6),(3,7),(6,3),(7,4),(7,5)],8)
[5,2,3,4,1,7,8,6]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(4,5),(5,6),(5,7),(7,3)],8)
[5,2,3,4,1,8,7,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(4,5),(4,6),(4,7)],8)
[5,2,3,4,6,1,8,7]=>([(0,5),(1,6),(1,7),(2,3),(3,4),(4,5),(5,6),(5,7)],8)
[5,2,3,4,7,6,1,8]=>([(0,7),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6),(5,7),(6,7)],8)
[5,2,3,4,8,6,7,1]=>([(1,6),(1,7),(2,4),(4,5),(5,6),(5,7),(7,3)],8)
[5,2,3,4,8,7,6,1]=>([(1,5),(1,6),(1,7),(2,3),(3,4),(4,5),(4,6),(4,7)],8)
[6,2,3,4,5,1,8,7]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,5),(4,6),(4,7),(5,4)],8)
[6,2,3,4,5,8,7,1]=>([(1,3),(2,6),(2,7),(3,5),(4,6),(4,7),(5,4)],8)
[8,2,3,4,5,7,6,1]=>([(2,6),(5,7),(6,5),(7,3),(7,4)],8)
[7,2,3,4,6,5,1,8]=>([(0,7),(1,7),(2,5),(3,7),(4,7),(5,6),(6,3),(6,4)],8)
[8,2,3,4,7,6,5,1]=>([(2,6),(6,7),(7,3),(7,4),(7,5)],8)
[6,2,3,5,4,1,7,8]=>([(0,7),(1,7),(2,6),(3,7),(4,7),(6,3),(6,4),(7,5)],8)
[6,2,3,5,4,1,8,7]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,3,5,4,7,1,8]=>([(0,3),(1,7),(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[6,2,3,5,4,7,8,1]=>([(1,7),(2,6),(3,7),(4,7),(6,3),(6,4),(7,5)],8)
[7,2,3,5,4,6,1,8]=>([(0,3),(1,7),(2,7),(3,4),(3,5),(4,6),(5,6),(6,7)],8)
[8,2,3,5,4,6,7,1]=>([(2,6),(3,7),(4,7),(6,3),(6,4),(7,5)],8)
[8,2,3,5,4,7,6,1]=>([(2,3),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,3,5,6,4,1,8]=>([(0,7),(1,7),(2,6),(3,7),(4,7),(5,4),(6,3),(6,5)],8)
[8,2,3,5,6,7,4,1]=>([(2,7),(5,6),(6,4),(7,3),(7,5)],8)
[8,2,3,5,7,6,4,1]=>([(2,7),(6,4),(6,5),(7,3),(7,6)],8)
[7,2,3,6,5,4,1,8]=>([(0,7),(1,7),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4),(6,5)],8)
[8,2,3,6,5,4,7,1]=>([(2,6),(3,7),(4,7),(5,7),(6,3),(6,4),(6,5)],8)
[8,2,3,7,5,6,4,1]=>([(2,7),(6,5),(7,3),(7,4),(7,6)],8)
[8,2,3,7,6,5,4,1]=>([(2,7),(7,3),(7,4),(7,5),(7,6)],8)
[5,2,4,3,1,6,7,8]=>([(0,7),(1,7),(2,4),(2,5),(4,7),(5,7),(6,3),(7,6)],8)
[5,2,4,3,1,6,8,7]=>([(0,7),(1,7),(2,3),(2,4),(3,7),(4,7),(7,5),(7,6)],8)
[5,2,4,3,1,7,6,8]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[5,2,4,3,1,8,7,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,2,4,3,6,1,7,8]=>([(0,7),(1,6),(2,3),(2,4),(3,7),(4,7),(6,5),(7,6)],8)
[5,2,4,3,6,1,8,7]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(7,5),(7,6)],8)
[5,2,4,3,6,7,1,8]=>([(0,7),(1,6),(2,3),(2,4),(3,7),(4,7),(5,6),(7,5)],8)
[5,2,4,3,7,6,1,8]=>([(0,5),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[5,2,4,3,7,6,8,1]=>([(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[5,2,4,3,8,7,6,1]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,2,4,3,5,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(4,5),(5,6),(5,7)],8)
[7,2,4,3,6,5,1,8]=>([(0,7),(1,7),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,2,4,3,6,5,8,1]=>([(1,7),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,2,4,3,6,5,7,1]=>([(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[8,2,4,3,6,7,5,1]=>([(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[8,2,4,3,7,6,5,1]=>([(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,2,4,5,3,1,7,8]=>([(0,7),(1,7),(2,4),(2,6),(3,7),(4,7),(6,3),(7,5)],8)
[7,2,4,5,3,6,1,8]=>([(0,7),(1,7),(2,3),(2,4),(3,5),(4,6),(5,6),(6,7)],8)
[7,2,4,5,3,6,8,1]=>([(1,6),(2,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[8,2,4,5,3,7,6,1]=>([(2,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,4,5,6,7,3,1]=>([(2,4),(2,7),(5,6),(6,3),(7,5)],8)
[8,2,4,5,7,6,3,1]=>([(2,5),(2,6),(6,7),(7,3),(7,4)],8)
[7,2,4,6,5,3,1,8]=>([(0,7),(1,7),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[7,2,4,6,5,3,8,1]=>([(1,7),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[8,2,4,7,5,6,3,1]=>([(2,5),(2,7),(6,4),(7,3),(7,6)],8)
[8,2,4,7,6,5,3,1]=>([(2,6),(2,7),(7,3),(7,4),(7,5)],8)
[6,2,5,4,3,1,7,8]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(7,6)],8)
[6,2,5,4,3,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,5,4,3,7,1,8]=>([(0,7),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(7,6)],8)
[6,2,5,4,3,7,8,1]=>([(1,7),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(7,6)],8)
[7,2,5,4,3,6,1,8]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(7,6)],8)
[8,2,5,4,3,6,7,1]=>([(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(7,6)],8)
[8,2,5,4,3,7,6,1]=>([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,5,4,6,3,8,1]=>([(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(5,6),(6,7)],8)
[8,2,5,4,7,6,3,1]=>([(2,3),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,6,4,5,3,1,8]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[7,2,6,4,5,3,8,1]=>([(1,7),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[8,2,6,4,5,3,7,1]=>([(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[8,2,6,4,5,7,3,1]=>([(2,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)
[8,2,7,4,5,6,3,1]=>([(2,4),(2,5),(2,7),(6,3),(7,6)],8)
[8,2,7,4,6,5,3,1]=>([(2,5),(2,6),(2,7),(7,3),(7,4)],8)
[7,2,6,5,4,3,1,8]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[7,2,6,5,4,3,8,1]=>([(1,7),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[8,2,6,5,4,3,7,1]=>([(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[8,2,6,5,4,7,3,1]=>([(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[8,2,7,5,4,6,3,1]=>([(2,3),(2,4),(2,5),(2,6),(5,7),(6,7)],8)
[8,2,7,5,6,4,3,1]=>([(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[8,2,7,6,5,4,3,1]=>([(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[4,3,2,1,8,6,7,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[4,3,2,7,5,6,8,1]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(6,5),(7,4)],8)
[4,3,2,8,5,6,7,1]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(7,4)],8)
[4,3,2,8,5,7,6,1]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(7,4),(7,5)],8)
[4,3,2,8,6,7,5,1]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[5,3,2,4,1,6,8,7]=>([(0,7),(1,7),(2,6),(3,6),(6,7),(7,4),(7,5)],8)
[5,3,2,4,1,7,6,8]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(3,4),(4,6),(4,7),(6,5),(7,5)],8)
[5,3,2,4,1,8,7,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(3,4),(4,5),(4,6),(4,7)],8)
[5,3,2,4,6,1,8,7]=>([(0,4),(1,4),(2,7),(3,5),(3,6),(4,7),(7,5),(7,6)],8)
[5,3,2,4,7,6,1,8]=>([(0,4),(1,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,3,2,4,6,5,7,1]=>([(2,6),(3,6),(4,7),(5,7),(6,4),(6,5)],8)
[8,3,2,4,6,7,5,1]=>([(2,7),(3,7),(5,6),(7,4),(7,5)],8)
[8,3,2,4,7,6,5,1]=>([(2,7),(3,7),(7,4),(7,5),(7,6)],8)
[6,3,2,5,4,1,7,8]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7),(7,4)],8)
[6,3,2,5,4,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,2,5,4,7,1,8]=>([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[6,3,2,5,4,7,8,1]=>([(1,7),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7),(7,4)],8)
[6,3,2,5,4,8,7,1]=>([(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,2,5,4,6,1,8]=>([(0,7),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,7)],8)
[8,3,2,5,4,7,6,1]=>([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,2,5,6,4,8,1]=>([(1,7),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,4)],8)
[8,3,2,5,6,4,7,1]=>([(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,4)],8)
[8,3,2,5,6,7,4,1]=>([(2,6),(2,7),(3,6),(3,7),(4,5),(7,4)],8)
[8,3,2,5,7,6,4,1]=>([(2,6),(2,7),(3,6),(3,7),(7,4),(7,5)],8)
[8,3,2,6,5,7,4,1]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[8,3,2,7,5,6,4,1]=>([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[8,3,2,7,6,5,4,1]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[5,3,4,2,1,6,8,7]=>([(0,7),(1,7),(2,7),(3,4),(4,7),(7,5),(7,6)],8)
[5,3,4,2,1,7,8,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)
[5,3,4,2,1,8,7,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[5,3,4,2,6,1,8,7]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(4,7),(7,5),(7,6)],8)
[5,3,4,2,7,6,1,8]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5),(7,5)],8)
[5,3,4,2,7,6,8,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5),(7,5)],8)
[5,3,4,2,8,6,7,1]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)
[6,3,4,2,5,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,5),(5,6),(5,7)],8)
[7,3,4,2,6,5,1,8]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(4,5),(4,6),(5,7),(6,7)],8)
[7,3,4,2,6,5,8,1]=>([(1,7),(2,5),(2,6),(3,4),(4,5),(4,6),(5,7),(6,7)],8)
[8,3,4,2,6,5,7,1]=>([(2,6),(2,7),(3,4),(4,6),(4,7),(6,5),(7,5)],8)
[6,3,4,5,2,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)
[6,3,4,5,2,8,7,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)
[8,3,4,5,2,7,6,1]=>([(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)
[8,3,4,5,7,6,2,1]=>([(3,4),(4,7),(7,5),(7,6)],8)
[7,3,4,6,5,2,1,8]=>([(0,4),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,3,4,7,6,5,2,1]=>([(3,4),(4,5),(4,6),(4,7)],8)
[6,3,5,4,2,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,5,4,2,7,1,8]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[6,3,5,4,2,7,8,1]=>([(1,7),(2,7),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[6,3,5,4,2,8,7,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,5,4,2,6,1,8]=>([(0,7),(1,6),(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[8,3,5,4,2,6,7,1]=>([(2,7),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[8,3,5,4,2,7,6,1]=>([(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,5,4,6,2,1,8]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(4,6),(5,6),(6,7)],8)
[7,3,5,4,6,2,8,1]=>([(1,7),(2,7),(3,4),(3,5),(4,6),(5,6),(6,7)],8)
[8,3,5,4,6,7,2,1]=>([(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[8,3,5,4,7,6,2,1]=>([(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,6,4,5,2,1,8]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,6,4,5,2,8,1]=>([(1,7),(2,7),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,6,4,5,2,7,1]=>([(2,7),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,7,4,5,6,2,1]=>([(3,4),(3,5),(5,6),(6,7)],8)
[8,3,7,4,6,5,2,1]=>([(3,4),(3,5),(5,6),(5,7)],8)
[7,3,6,5,4,2,1,8]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[7,3,6,5,4,2,8,1]=>([(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[8,3,6,5,4,2,7,1]=>([(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[8,3,6,5,4,7,2,1]=>([(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[8,3,7,5,4,6,2,1]=>([(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[8,3,7,5,6,4,2,1]=>([(3,4),(3,5),(3,6),(6,7)],8)
[8,3,7,6,5,4,2,1]=>([(3,4),(3,5),(3,6),(3,7)],8)
[5,4,3,2,8,6,7,1]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[6,4,3,2,5,1,8,7]=>([(0,5),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,3,2,5,8,7,1]=>([(1,7),(2,7),(3,7),(4,5),(4,6),(7,5),(7,6)],8)
[8,4,3,2,5,7,6,1]=>([(2,7),(3,7),(4,7),(7,5),(7,6)],8)
[7,4,3,2,6,5,1,8]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,4,3,2,6,5,8,1]=>([(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,4,3,2,6,5,7,1]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[8,4,3,2,6,7,5,1]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[8,4,3,2,7,6,5,1]=>([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,4,3,5,2,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8)
[8,4,3,5,2,7,6,1]=>([(2,5),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,3,5,7,6,2,1]=>([(3,7),(4,7),(7,5),(7,6)],8)
[7,4,3,6,5,2,1,8]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,4,3,6,5,2,8,1]=>([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,4,3,7,5,6,2,1]=>([(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[8,4,3,7,6,5,2,1]=>([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,5,3,4,2,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[8,5,3,4,2,7,6,1]=>([(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[8,5,3,4,7,6,2,1]=>([(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[8,7,3,4,6,5,2,1]=>([(4,5),(5,6),(5,7)],8)
[7,6,3,5,4,2,1,8]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,6,3,5,4,2,8,1]=>([(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,6,3,5,4,2,7,1]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,6,3,5,4,7,2,1]=>([(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,7,3,5,4,6,2,1]=>([(4,5),(4,6),(5,7),(6,7)],8)
[8,7,3,5,6,4,2,1]=>([(4,5),(4,6),(6,7)],8)
[8,7,3,6,5,4,2,1]=>([(4,5),(4,6),(4,7)],8)
[8,5,4,3,2,7,6,1]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,4,3,7,6,2,1]=>([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,4,3,6,5,2,1]=>([(4,6),(4,7),(5,6),(5,7)],8)
[8,7,4,6,5,3,2,1]=>([(5,6),(5,7)],8)
[2,4,1,3,6,5,8,7]=>([(0,7),(1,2),(1,7),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4),(7,5),(7,6)],8)
[2,1,4,6,3,5,8,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,7),(6,2),(6,7),(7,3),(7,4)],8)
[2,4,1,6,3,5,8,7]=>([(0,2),(0,5),(1,5),(1,7),(2,6),(2,7),(5,6),(6,3),(6,4),(7,3),(7,4)],8)
[2,4,6,1,3,5,8,7]=>([(0,6),(1,2),(1,6),(2,3),(2,7),(3,4),(3,5),(6,7),(7,4),(7,5)],8)
[2,1,4,3,6,8,5,7]=>([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8)
[2,4,1,3,6,8,5,7]=>([(0,7),(1,3),(1,7),(3,5),(3,6),(5,4),(6,2),(6,4),(7,5),(7,6)],8)
[2,1,4,6,3,8,5,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(5,4),(6,2),(6,5),(7,3),(7,5)],8)
[2,4,1,6,3,8,5,7]=>([(0,2),(0,7),(1,6),(1,7),(2,5),(2,6),(5,4),(6,3),(6,4),(7,3),(7,5)],8)
[2,4,6,1,3,8,5,7]=>([(0,7),(1,2),(1,7),(2,3),(2,6),(3,4),(3,5),(6,5),(7,4),(7,6)],8)
[2,1,4,6,8,3,5,7]=>([(0,6),(0,7),(1,6),(1,7),(3,2),(3,4),(5,4),(6,5),(7,3),(7,5)],8)
[2,4,1,6,8,3,5,7]=>([(0,3),(0,7),(1,6),(1,7),(3,5),(3,6),(5,4),(6,2),(6,4),(7,5)],8)
[2,4,6,1,8,3,5,7]=>([(0,2),(0,7),(1,5),(1,7),(2,3),(2,6),(3,4),(3,5),(6,4),(7,6)],8)
[2,4,6,8,1,3,5,7]=>([(0,7),(1,4),(1,7),(3,2),(3,6),(4,3),(4,5),(5,6),(7,5)],8)
[2,4,1,3,6,5,7,8]=>([(0,7),(1,3),(1,7),(3,5),(3,6),(4,2),(5,4),(6,4),(7,5),(7,6)],8)
[2,1,4,6,3,5,7,8]=>([(0,6),(0,7),(1,6),(1,7),(3,4),(4,2),(5,4),(6,5),(7,3),(7,5)],8)
[2,4,1,6,3,5,7,8]=>([(0,3),(0,7),(1,6),(1,7),(3,5),(3,6),(4,2),(5,4),(6,4),(7,5)],8)
[2,4,6,1,3,5,7,8]=>([(0,6),(1,4),(1,6),(3,7),(4,3),(4,5),(5,7),(6,5),(7,2)],8)
[2,1,4,6,3,7,5,8]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(4,3),(5,3),(6,2),(6,4),(7,4),(7,5)],8)
[2,4,1,6,3,7,5,8]=>([(0,2),(0,7),(1,6),(1,7),(2,5),(2,6),(4,3),(5,3),(6,4),(7,4),(7,5)],8)
[2,4,6,1,3,7,5,8]=>([(0,7),(1,3),(1,7),(2,6),(3,2),(3,5),(5,4),(6,4),(7,5),(7,6)],8)
[2,4,6,7,1,3,5,8]=>([(0,7),(1,4),(1,7),(2,6),(3,2),(4,3),(4,5),(5,6),(7,5)],8)
[2,4,1,3,6,7,8,5]=>([(0,7),(1,3),(1,7),(3,5),(3,6),(4,2),(6,4),(7,5),(7,6)],8)
[2,1,4,6,3,7,8,5]=>([(0,6),(0,7),(1,6),(1,7),(3,5),(5,2),(6,3),(6,4),(7,4),(7,5)],8)
[2,4,1,6,3,7,8,5]=>([(0,3),(0,7),(1,6),(1,7),(3,4),(3,6),(5,2),(6,5),(7,4),(7,5)],8)
[2,1,4,6,7,3,8,5]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,5),(6,2),(6,4),(7,4),(7,5)],8)
[2,4,1,6,7,3,8,5]=>([(0,3),(0,7),(1,5),(1,7),(2,6),(3,4),(3,5),(5,2),(7,4),(7,6)],8)
[2,4,6,1,7,3,8,5]=>([(0,3),(0,7),(1,6),(1,7),(2,6),(3,2),(3,4),(6,5),(7,4),(7,5)],8)
[2,4,6,7,1,3,8,5]=>([(0,7),(1,4),(1,7),(2,6),(3,2),(4,3),(4,5),(7,5),(7,6)],8)
[2,1,4,6,7,8,3,5]=>([(0,6),(0,7),(1,6),(1,7),(3,4),(4,2),(6,5),(7,3),(7,5)],8)
[2,4,1,6,7,8,3,5]=>([(0,6),(0,7),(1,3),(1,7),(3,5),(3,6),(4,2),(6,4),(7,5)],8)
[2,4,6,7,8,1,3,5]=>([(0,7),(1,5),(1,7),(3,4),(4,2),(5,3),(5,6),(7,6)],8)
[2,1,4,3,7,5,8,6]=>([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8)
[2,4,1,3,7,5,8,6]=>([(0,7),(1,3),(1,7),(3,5),(3,6),(5,4),(6,2),(6,4),(7,5),(7,6)],8)
[2,1,4,7,3,5,8,6]=>([(0,6),(0,7),(1,6),(1,7),(3,4),(5,2),(5,4),(6,5),(7,3),(7,5)],8)
[2,4,1,7,3,5,8,6]=>([(0,3),(0,7),(1,5),(1,7),(3,5),(3,6),(5,4),(6,2),(6,4),(7,6)],8)
[2,4,7,1,3,5,8,6]=>([(0,6),(1,4),(1,6),(3,5),(4,3),(4,7),(6,7),(7,2),(7,5)],8)
[2,1,4,3,7,8,5,6]=>([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(6,4),(6,5),(7,4),(7,5)],8)
[2,4,1,3,7,8,5,6]=>([(0,5),(1,2),(1,5),(2,6),(2,7),(5,6),(5,7),(6,4),(7,3)],8)
[2,4,1,7,3,8,5,6]=>([(0,3),(0,7),(1,6),(1,7),(3,5),(3,6),(5,2),(6,4),(7,4),(7,5)],8)
[2,1,4,7,8,3,5,6]=>([(0,5),(0,6),(1,5),(1,6),(4,3),(5,7),(6,4),(6,7),(7,2)],8)
[2,4,1,7,8,3,5,6]=>([(0,5),(0,7),(1,3),(1,5),(3,6),(3,7),(5,6),(6,4),(7,2)],8)
[2,4,7,1,8,3,5,6]=>([(0,5),(0,6),(1,4),(1,6),(3,5),(4,3),(4,7),(6,7),(7,2)],8)
[2,4,7,8,1,3,5,6]=>([(0,6),(1,5),(1,6),(4,3),(5,4),(5,7),(6,7),(7,2)],8)
[2,4,1,5,3,7,6,8]=>([(0,2),(0,7),(1,6),(1,7),(2,6),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)
[2,4,5,1,3,7,6,8]=>([(0,7),(1,2),(1,7),(2,3),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)
[2,4,5,1,7,3,6,8]=>([(0,2),(0,7),(1,6),(1,7),(2,3),(3,5),(3,6),(5,4),(6,4),(7,5)],8)
[2,4,1,3,5,7,8,6]=>([(0,6),(1,4),(1,6),(4,7),(5,3),(6,7),(7,2),(7,5)],8)
[2,4,1,5,3,7,8,6]=>([(0,3),(0,7),(1,6),(1,7),(3,6),(5,2),(6,4),(6,5),(7,4),(7,5)],8)
[2,4,5,1,3,7,8,6]=>([(0,6),(1,4),(1,6),(3,5),(3,7),(4,3),(6,5),(6,7),(7,2)],8)
[2,1,4,5,7,3,8,6]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(3,4),(6,2),(7,4),(7,5)],8)
[2,4,1,5,7,3,8,6]=>([(0,3),(0,7),(1,6),(1,7),(2,5),(3,6),(6,2),(6,4),(7,4),(7,5)],8)
[2,4,5,1,7,3,8,6]=>([(0,2),(0,7),(1,6),(1,7),(2,3),(3,5),(3,6),(6,4),(7,4),(7,5)],8)
[2,1,4,5,7,8,3,6]=>([(0,6),(0,7),(1,6),(1,7),(3,2),(4,3),(4,5),(6,5),(7,4)],8)
[2,4,5,1,7,8,3,6]=>([(0,6),(0,7),(1,4),(1,6),(3,5),(3,7),(4,3),(6,5),(7,2)],8)
[2,4,5,7,1,8,3,6]=>([(0,6),(0,7),(1,4),(1,7),(2,6),(3,2),(3,5),(4,3),(7,5)],8)
[2,4,5,7,8,1,3,6]=>([(0,7),(1,4),(1,7),(3,2),(4,5),(5,3),(5,6),(7,6)],8)
[2,1,4,3,8,5,6,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(5,2),(6,4),(6,5),(7,4),(7,5)],8)
[2,4,1,3,8,5,6,7]=>([(0,7),(1,3),(1,7),(3,5),(3,6),(4,2),(6,4),(7,5),(7,6)],8)
[2,1,4,8,3,5,6,7]=>([(0,6),(0,7),(1,6),(1,7),(4,3),(5,4),(6,5),(7,2),(7,5)],8)
[2,4,1,8,3,5,6,7]=>([(0,6),(0,7),(1,3),(1,7),(3,5),(3,6),(4,2),(5,4),(7,5)],8)
[2,4,8,1,3,5,6,7]=>([(0,7),(1,4),(1,7),(4,3),(4,6),(5,2),(6,5),(7,6)],8)
[2,1,4,3,5,8,6,7]=>([(0,5),(0,6),(1,5),(1,6),(4,3),(5,7),(6,7),(7,2),(7,4)],8)
[2,4,1,5,3,8,6,7]=>([(0,3),(0,7),(1,6),(1,7),(3,6),(5,2),(6,4),(6,5),(7,4),(7,5)],8)
[2,1,4,5,8,3,6,7]=>([(0,5),(0,6),(1,5),(1,6),(4,3),(4,7),(5,7),(6,4),(7,2)],8)
[2,4,1,5,8,3,6,7]=>([(0,5),(0,7),(1,3),(1,5),(3,7),(5,6),(6,4),(7,2),(7,6)],8)
[2,4,5,1,8,3,6,7]=>([(0,5),(0,6),(1,4),(1,6),(3,5),(3,7),(4,3),(6,7),(7,2)],8)
[2,4,1,5,3,6,8,7]=>([(0,5),(0,6),(1,4),(1,6),(4,5),(5,7),(6,7),(7,2),(7,3)],8)
[2,4,1,5,6,3,8,7]=>([(0,2),(0,7),(1,6),(1,7),(2,6),(3,4),(3,5),(6,3),(7,4),(7,5)],8)
[2,4,5,1,6,3,8,7]=>([(0,2),(0,7),(1,6),(1,7),(2,3),(3,6),(6,4),(6,5),(7,4),(7,5)],8)
[2,4,5,6,1,3,8,7]=>([(0,7),(1,4),(1,7),(2,5),(2,6),(3,2),(4,3),(7,5),(7,6)],8)
[2,1,4,5,6,8,3,7]=>([(0,6),(0,7),(1,6),(1,7),(3,4),(4,2),(4,5),(6,5),(7,3)],8)
[2,4,1,5,6,8,3,7]=>([(0,6),(0,7),(1,3),(1,7),(3,6),(4,2),(4,5),(6,4),(7,5)],8)
[2,4,5,1,6,8,3,7]=>([(0,6),(0,7),(1,4),(1,6),(3,7),(4,3),(6,5),(7,2),(7,5)],8)
[2,4,5,6,1,8,3,7]=>([(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(3,2),(4,3),(7,5)],8)
[2,4,5,6,8,1,3,7]=>([(0,7),(1,4),(1,7),(3,5),(4,3),(5,2),(5,6),(7,6)],8)
[2,4,1,3,5,6,7,8]=>([(0,7),(1,3),(1,7),(3,6),(4,2),(5,4),(6,5),(7,6)],8)
[2,4,1,5,3,6,7,8]=>([(0,6),(0,7),(1,3),(1,7),(3,6),(4,2),(5,4),(6,5),(7,5)],8)
[2,4,5,1,3,6,7,8]=>([(0,7),(1,4),(1,7),(3,6),(4,3),(5,2),(6,5),(7,6)],8)
[2,4,1,5,6,3,7,8]=>([(0,5),(0,7),(1,2),(1,5),(2,7),(3,6),(5,6),(6,4),(7,3)],8)
[2,4,5,1,6,3,7,8]=>([(0,5),(0,6),(1,4),(1,6),(3,5),(4,3),(5,7),(6,7),(7,2)],8)
[2,4,5,6,1,3,7,8]=>([(0,6),(1,5),(1,6),(3,7),(4,3),(5,4),(6,7),(7,2)],8)
[2,4,1,5,6,7,3,8]=>([(0,6),(0,7),(1,3),(1,7),(2,5),(3,6),(4,2),(6,4),(7,5)],8)
[2,4,5,6,1,7,3,8]=>([(0,6),(0,7),(1,4),(1,7),(2,6),(3,2),(4,3),(6,5),(7,5)],8)
[2,4,5,6,7,1,3,8]=>([(0,7),(1,5),(1,7),(2,6),(3,4),(4,2),(5,3),(7,6)],8)
[2,4,1,5,6,7,8,3]=>([(0,6),(0,7),(1,3),(1,7),(3,6),(4,2),(5,4),(6,5)],8)
[2,4,5,1,6,7,8,3]=>([(0,6),(0,7),(1,4),(1,7),(3,6),(4,3),(5,2),(6,5)],8)
[2,4,5,6,1,7,8,3]=>([(0,6),(0,7),(1,5),(1,6),(3,7),(4,3),(5,4),(7,2)],8)
[2,4,5,6,7,1,8,3]=>([(0,6),(0,7),(1,5),(1,7),(2,6),(3,4),(4,2),(5,3)],8)
[2,4,5,6,7,8,1,3]=>([(0,7),(1,6),(1,7),(3,5),(4,3),(5,2),(6,4)],8)
[2,1,5,3,6,4,8,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,7),(6,2),(6,7),(7,3),(7,4)],8)
[2,5,1,3,6,4,8,7]=>([(0,6),(1,2),(1,6),(2,7),(3,4),(3,5),(6,3),(6,7),(7,4),(7,5)],8)
[2,1,5,6,3,4,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(6,3),(7,2)],8)
[2,5,1,6,3,4,8,7]=>([(0,2),(0,6),(1,6),(1,7),(2,7),(3,4),(3,5),(6,3),(7,4),(7,5)],8)
[2,5,6,1,3,4,8,7]=>([(0,7),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,3),(7,2)],8)
[2,1,5,3,6,8,4,7]=>([(0,6),(0,7),(1,6),(1,7),(3,4),(5,2),(5,4),(6,5),(7,3),(7,5)],8)
[2,5,1,3,6,8,4,7]=>([(0,7),(1,3),(1,7),(2,5),(3,6),(6,4),(6,5),(7,2),(7,6)],8)
[2,5,6,1,3,8,4,7]=>([(0,7),(1,4),(1,7),(2,5),(3,5),(3,6),(4,3),(7,2),(7,6)],8)
[2,1,5,6,8,3,4,7]=>([(0,6),(0,7),(1,6),(1,7),(3,5),(4,2),(4,5),(6,4),(7,3)],8)
[2,5,1,6,8,3,4,7]=>([(0,6),(0,7),(1,2),(1,7),(2,6),(4,5),(6,3),(6,5),(7,4)],8)
[2,5,6,8,1,3,4,7]=>([(0,7),(1,4),(1,7),(3,6),(4,5),(5,2),(5,6),(7,3)],8)
[2,5,1,3,6,4,7,8]=>([(0,7),(1,2),(1,7),(2,5),(3,6),(5,6),(6,4),(7,3),(7,5)],8)
[2,1,5,6,3,4,7,8]=>([(0,6),(0,7),(1,6),(1,7),(3,5),(4,5),(5,2),(6,4),(7,3)],8)
[2,5,1,6,3,4,7,8]=>([(0,5),(0,7),(1,2),(1,7),(2,5),(3,6),(5,6),(6,4),(7,3)],8)
[2,1,5,3,6,7,4,8]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(4,2),(6,4),(7,3),(7,4)],8)
[2,1,5,6,3,7,4,8]=>([(0,5),(0,7),(1,5),(1,7),(2,4),(3,6),(5,3),(6,4),(7,2),(7,6)],8)
[2,5,1,6,3,7,4,8]=>([(0,3),(0,7),(1,6),(1,7),(2,4),(3,6),(5,4),(6,5),(7,2),(7,5)],8)
[2,5,6,1,3,7,4,8]=>([(0,7),(1,4),(1,7),(2,6),(3,5),(4,3),(5,6),(7,2),(7,5)],8)
[2,1,5,6,7,3,4,8]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(4,3),(6,4),(7,2)],8)
[2,5,1,6,7,3,4,8]=>([(0,6),(0,7),(1,2),(1,7),(2,6),(3,5),(4,5),(6,3),(7,4)],8)
[2,5,6,1,7,3,4,8]=>([(0,6),(0,7),(1,4),(1,7),(2,6),(3,5),(4,2),(6,5),(7,3)],8)
[2,1,5,3,6,7,8,4]=>([(0,6),(0,7),(1,6),(1,7),(4,3),(5,4),(6,5),(7,2),(7,5)],8)
[2,5,1,3,6,7,8,4]=>([(0,7),(1,4),(1,7),(4,6),(5,3),(6,5),(7,2),(7,6)],8)
[2,1,5,6,3,7,8,4]=>([(0,6),(0,7),(1,6),(1,7),(4,5),(5,2),(6,4),(7,3),(7,5)],8)
[2,5,1,6,3,7,8,4]=>([(0,5),(0,7),(1,3),(1,7),(3,5),(5,6),(6,4),(7,2),(7,6)],8)
[2,5,6,1,3,7,8,4]=>([(0,7),(1,5),(1,7),(3,6),(5,3),(6,4),(7,2),(7,6)],8)
[2,1,5,6,7,3,8,4]=>([(0,6),(0,7),(1,6),(1,7),(3,5),(4,3),(6,4),(7,2),(7,5)],8)
[2,5,1,6,7,3,8,4]=>([(0,6),(0,7),(1,2),(1,7),(2,6),(4,5),(6,4),(7,3),(7,5)],8)
[2,5,6,7,1,3,8,4]=>([(0,7),(1,5),(1,7),(3,6),(4,3),(5,4),(7,2),(7,6)],8)
[2,1,5,6,7,8,3,4]=>([(0,6),(0,7),(1,6),(1,7),(4,3),(5,4),(6,5),(7,2)],8)
[2,5,1,6,7,8,3,4]=>([(0,6),(0,7),(1,4),(1,7),(4,6),(5,3),(6,5),(7,2)],8)
[2,5,6,1,7,8,3,4]=>([(0,6),(0,7),(1,5),(1,7),(2,6),(5,2),(6,3),(7,4)],8)
[2,5,6,7,1,8,3,4]=>([(0,6),(0,7),(1,5),(1,7),(3,6),(4,3),(5,4),(7,2)],8)
[2,5,6,7,8,1,3,4]=>([(0,7),(1,6),(1,7),(4,5),(5,2),(6,4),(7,3)],8)
[2,1,5,3,7,4,8,6]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(5,4),(6,2),(6,5),(7,3),(7,5)],8)
[2,5,1,3,7,4,8,6]=>([(0,7),(1,3),(1,7),(2,4),(2,5),(3,4),(3,6),(6,5),(7,2),(7,6)],8)
[2,1,5,7,3,4,8,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(6,3),(7,2),(7,4)],8)
[2,5,1,7,3,4,8,6]=>([(0,3),(0,6),(1,6),(1,7),(2,4),(2,5),(3,4),(3,7),(6,2),(7,5)],8)
[2,5,7,1,3,4,8,6]=>([(0,7),(1,4),(1,7),(2,5),(3,5),(3,6),(4,2),(4,6),(7,3)],8)
[2,1,5,3,7,8,4,6]=>([(0,6),(0,7),(1,6),(1,7),(3,4),(5,2),(6,3),(6,5),(7,4),(7,5)],8)
[2,5,1,3,7,8,4,6]=>([(0,7),(1,3),(1,7),(2,5),(3,5),(3,6),(6,4),(7,2),(7,6)],8)
[2,1,5,7,3,8,4,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(6,3),(6,5),(7,2),(7,4)],8)
[2,1,5,7,8,3,4,6]=>([(0,6),(0,7),(1,6),(1,7),(3,5),(4,2),(6,4),(6,5),(7,3)],8)
[2,5,1,7,8,3,4,6]=>([(0,6),(0,7),(1,2),(1,7),(2,5),(2,6),(4,5),(6,3),(7,4)],8)
[2,5,7,1,8,3,4,6]=>([(0,6),(0,7),(1,4),(1,7),(2,6),(3,5),(4,2),(4,5),(7,3)],8)
[2,5,7,8,1,3,4,6]=>([(0,7),(1,5),(1,7),(3,6),(4,2),(5,4),(5,6),(7,3)],8)
[2,5,1,3,7,4,6,8]=>([(0,7),(1,3),(1,7),(2,6),(3,5),(3,6),(5,4),(6,4),(7,2),(7,5)],8)
[2,1,5,7,3,4,6,8]=>([(0,5),(0,7),(1,5),(1,7),(2,4),(3,6),(5,3),(6,4),(7,2),(7,6)],8)
[2,3,5,1,4,7,6,8]=>([(0,2),(1,7),(2,3),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)
[2,3,5,7,1,4,6,8]=>([(0,7),(1,3),(2,6),(3,4),(3,7),(4,2),(4,5),(5,6),(7,5)],8)
[2,3,5,1,7,4,8,6]=>([(0,2),(1,6),(1,7),(2,3),(2,7),(3,5),(3,6),(6,4),(7,4),(7,5)],8)
[2,3,5,7,1,4,8,6]=>([(0,7),(1,3),(2,6),(3,4),(3,7),(4,2),(4,5),(7,5),(7,6)],8)
[2,3,1,5,7,8,4,6]=>([(0,6),(0,7),(1,3),(3,6),(3,7),(4,2),(6,5),(7,4),(7,5)],8)
[2,3,5,7,1,8,4,6]=>([(0,6),(0,7),(1,4),(2,7),(3,2),(3,5),(4,3),(4,6),(6,5)],8)
[2,3,5,7,8,1,4,6]=>([(0,7),(1,4),(3,2),(4,5),(4,7),(5,3),(5,6),(7,6)],8)
[2,1,5,3,8,4,6,7]=>([(0,6),(0,7),(1,6),(1,7),(3,5),(5,2),(6,3),(6,4),(7,4),(7,5)],8)
[2,5,1,3,8,4,6,7]=>([(0,7),(1,3),(1,7),(2,6),(3,5),(3,6),(6,4),(7,2),(7,5)],8)
[2,1,5,8,3,4,6,7]=>([(0,6),(0,7),(1,6),(1,7),(4,5),(5,2),(6,4),(7,3),(7,5)],8)
[2,5,1,8,3,4,6,7]=>([(0,5),(0,7),(1,3),(1,7),(2,6),(3,5),(3,6),(6,4),(7,2)],8)
[2,5,8,1,3,4,6,7]=>([(0,7),(1,5),(1,7),(3,6),(5,2),(5,6),(6,4),(7,3)],8)
[2,3,5,1,4,8,6,7]=>([(0,6),(1,4),(3,5),(3,7),(4,3),(4,6),(6,5),(6,7),(7,2)],8)
[2,1,3,5,8,4,6,7]=>([(0,7),(1,7),(3,6),(5,2),(5,6),(6,4),(7,3),(7,5)],8)
[2,3,5,1,8,4,6,7]=>([(0,5),(0,6),(1,4),(3,5),(3,7),(4,3),(4,6),(6,7),(7,2)],8)
[2,3,5,8,1,4,6,7]=>([(0,6),(1,5),(4,3),(4,7),(5,4),(5,6),(6,7),(7,2)],8)
[2,1,5,3,4,6,8,7]=>([(0,5),(0,6),(1,5),(1,6),(4,7),(5,7),(6,4),(7,2),(7,3)],8)
[2,3,5,1,6,4,8,7]=>([(0,3),(1,6),(1,7),(2,7),(3,2),(3,6),(6,4),(6,5),(7,4),(7,5)],8)
[2,3,5,6,1,4,8,7]=>([(0,7),(1,4),(2,5),(2,6),(3,2),(4,3),(4,7),(7,5),(7,6)],8)
[2,1,3,5,6,8,4,7]=>([(0,7),(1,7),(3,6),(4,5),(5,2),(5,6),(7,3),(7,4)],8)
[2,3,1,5,6,8,4,7]=>([(0,6),(0,7),(1,3),(3,6),(3,7),(4,2),(4,5),(6,5),(7,4)],8)
[2,3,5,1,6,8,4,7]=>([(0,6),(0,7),(1,4),(3,7),(4,3),(4,6),(6,5),(7,2),(7,5)],8)
[2,3,5,6,1,8,4,7]=>([(0,6),(0,7),(1,4),(2,5),(2,7),(3,2),(4,3),(4,6),(6,5)],8)
[2,3,5,6,8,1,4,7]=>([(0,7),(1,4),(3,5),(4,3),(4,7),(5,2),(5,6),(7,6)],8)
[2,1,5,3,4,6,7,8]=>([(0,6),(0,7),(1,6),(1,7),(3,5),(4,2),(5,4),(6,5),(7,3)],8)
[2,5,1,3,4,6,7,8]=>([(0,7),(1,4),(1,7),(3,6),(4,6),(5,2),(6,5),(7,3)],8)
[2,3,5,1,4,6,7,8]=>([(0,7),(1,4),(3,6),(4,3),(4,7),(5,2),(6,5),(7,6)],8)
[2,3,5,1,6,4,7,8]=>([(0,5),(0,6),(1,4),(3,5),(4,3),(4,6),(5,7),(6,7),(7,2)],8)
[2,3,5,6,1,4,7,8]=>([(0,6),(1,5),(3,7),(4,3),(5,4),(5,6),(6,7),(7,2)],8)
[2,3,5,6,7,1,4,8]=>([(0,7),(1,5),(2,6),(3,4),(4,2),(5,3),(5,7),(7,6)],8)
[2,3,5,1,6,7,8,4]=>([(0,6),(0,7),(1,4),(3,6),(4,3),(4,7),(5,2),(6,5)],8)
[2,3,5,6,1,7,8,4]=>([(0,6),(0,7),(1,5),(3,7),(4,3),(5,4),(5,6),(7,2)],8)
[2,3,5,6,7,1,8,4]=>([(0,6),(0,7),(1,5),(2,7),(3,4),(4,2),(5,3),(5,6)],8)
[2,3,5,6,7,8,1,4]=>([(0,7),(1,6),(3,5),(4,3),(5,2),(6,4),(6,7)],8)
[2,1,6,3,7,4,8,5]=>([(0,6),(0,7),(1,6),(1,7),(3,2),(3,4),(5,4),(6,5),(7,3),(7,5)],8)
[2,6,1,3,7,4,8,5]=>([(0,7),(1,3),(1,7),(3,5),(4,2),(4,6),(5,6),(7,4),(7,5)],8)
[2,1,6,7,3,4,8,5]=>([(0,6),(0,7),(1,6),(1,7),(3,5),(4,2),(4,5),(6,4),(7,3)],8)
[2,6,1,7,3,4,8,5]=>([(0,6),(0,7),(1,3),(1,7),(3,6),(4,2),(4,5),(6,5),(7,4)],8)
[2,6,7,1,3,4,8,5]=>([(0,7),(1,4),(1,7),(3,6),(4,3),(5,2),(5,6),(7,5)],8)
[2,1,6,3,7,8,4,5]=>([(0,5),(0,6),(1,5),(1,6),(4,3),(5,7),(6,4),(6,7),(7,2)],8)
[2,6,1,3,7,8,4,5]=>([(0,6),(1,4),(1,6),(4,7),(5,3),(6,5),(6,7),(7,2)],8)
[2,6,1,7,3,8,4,5]=>([(0,6),(0,7),(1,3),(1,7),(3,6),(4,2),(6,5),(7,4),(7,5)],8)
[2,6,7,1,3,8,4,5]=>([(0,7),(1,5),(1,7),(3,6),(4,2),(5,3),(7,4),(7,6)],8)
[2,1,6,7,8,3,4,5]=>([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(6,4),(7,5)],8)
[2,6,1,7,8,3,4,5]=>([(0,6),(0,7),(1,4),(1,6),(4,7),(5,3),(6,5),(7,2)],8)
[2,6,7,1,8,3,4,5]=>([(0,6),(0,7),(1,4),(1,7),(3,6),(4,3),(5,2),(7,5)],8)
[2,6,7,8,1,3,4,5]=>([(0,7),(1,5),(1,7),(4,2),(5,4),(6,3),(7,6)],8)
[2,1,6,3,7,4,5,8]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,4),(5,4),(6,5),(7,2),(7,5)],8)
[2,6,1,7,3,4,5,8]=>([(0,6),(0,7),(1,3),(1,7),(2,5),(3,6),(4,2),(6,5),(7,4)],8)
[2,6,7,1,3,4,5,8]=>([(0,7),(1,5),(1,7),(2,6),(3,6),(4,3),(5,2),(7,4)],8)
[2,6,1,3,4,7,5,8]=>([(0,7),(1,3),(1,7),(2,6),(3,5),(4,2),(4,5),(5,6),(7,4)],8)
[2,3,1,6,4,7,5,8]=>([(0,3),(1,6),(1,7),(2,4),(3,6),(3,7),(5,4),(6,5),(7,2),(7,5)],8)
[2,3,6,1,4,7,5,8]=>([(0,7),(1,4),(2,6),(3,5),(4,3),(4,7),(5,6),(7,2),(7,5)],8)
[2,1,6,3,4,7,8,5]=>([(0,5),(0,6),(1,5),(1,6),(4,3),(4,7),(5,7),(6,4),(7,2)],8)
[2,6,1,3,4,7,8,5]=>([(0,6),(1,4),(1,6),(4,7),(5,3),(5,7),(6,5),(7,2)],8)
[2,3,6,1,4,7,8,5]=>([(0,7),(1,5),(3,6),(5,3),(5,7),(6,4),(7,2),(7,6)],8)
[2,1,3,6,7,4,8,5]=>([(0,7),(1,7),(3,6),(4,3),(5,2),(5,6),(7,4),(7,5)],8)
[2,1,3,6,7,8,4,5]=>([(0,7),(1,7),(4,3),(5,4),(6,2),(7,5),(7,6)],8)
[2,3,1,6,7,8,4,5]=>([(0,6),(0,7),(1,4),(4,6),(4,7),(5,3),(6,5),(7,2)],8)
[2,3,6,1,7,8,4,5]=>([(0,6),(0,7),(1,5),(2,6),(5,2),(5,7),(6,3),(7,4)],8)
[2,3,6,7,1,8,4,5]=>([(0,6),(0,7),(1,5),(3,6),(4,3),(5,4),(5,7),(7,2)],8)
[2,3,6,7,8,1,4,5]=>([(0,7),(1,6),(4,5),(5,2),(6,4),(6,7),(7,3)],8)
[2,1,6,3,8,4,5,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,5),(6,2),(6,4),(7,4),(7,5)],8)
[2,6,1,3,8,4,5,7]=>([(0,7),(1,3),(1,7),(2,5),(3,5),(3,6),(4,2),(7,4),(7,6)],8)
[2,1,6,8,3,4,5,7]=>([(0,6),(0,7),(1,6),(1,7),(3,5),(4,3),(6,4),(7,2),(7,5)],8)
[2,6,1,8,3,4,5,7]=>([(0,6),(0,7),(1,3),(1,7),(2,5),(3,5),(3,6),(4,2),(7,4)],8)
[2,6,8,1,3,4,5,7]=>([(0,7),(1,5),(1,7),(3,6),(4,3),(5,2),(5,6),(7,4)],8)
[2,1,6,3,4,8,5,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(3,4),(6,2),(7,4),(7,5)],8)
[2,6,1,3,4,8,5,7]=>([(0,7),(1,3),(1,7),(2,5),(3,5),(3,6),(4,2),(4,6),(7,4)],8)
[2,3,1,6,4,8,5,7]=>([(0,3),(1,6),(1,7),(2,5),(3,6),(3,7),(6,2),(6,4),(7,4),(7,5)],8)
[2,3,6,1,4,8,5,7]=>([(0,7),(1,4),(2,5),(3,5),(3,6),(4,3),(4,7),(7,2),(7,6)],8)
[2,3,1,6,8,4,5,7]=>([(0,6),(0,7),(1,2),(2,6),(2,7),(4,5),(6,4),(7,3),(7,5)],8)
[2,3,6,1,8,4,5,7]=>([(0,6),(0,7),(1,4),(2,5),(3,5),(3,6),(4,3),(4,7),(7,2)],8)
[2,1,6,3,4,5,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,4),(3,5),(6,2),(7,4),(7,5)],8)
[2,6,1,3,4,5,8,7]=>([(0,7),(1,3),(1,7),(2,5),(2,6),(3,5),(3,6),(4,2),(7,4)],8)
[2,1,3,6,4,5,8,7]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,3),(7,2),(7,4)],8)
[2,3,6,1,4,5,8,7]=>([(0,7),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3),(4,7),(7,2)],8)
[2,3,4,1,6,8,5,7]=>([(0,6),(0,7),(1,4),(3,6),(3,7),(4,3),(6,5),(7,2),(7,5)],8)
[2,3,4,6,1,8,5,7]=>([(0,6),(0,7),(1,3),(2,5),(2,7),(3,4),(4,2),(4,6),(6,5)],8)
[2,3,4,6,8,1,5,7]=>([(0,7),(1,4),(3,5),(3,7),(4,3),(5,2),(5,6),(7,6)],8)
[2,6,1,3,4,5,7,8]=>([(0,6),(1,4),(1,6),(3,7),(4,7),(5,3),(6,5),(7,2)],8)
[2,1,3,6,4,5,7,8]=>([(0,7),(1,7),(2,6),(3,6),(5,3),(6,4),(7,2),(7,5)],8)
[2,3,1,6,4,5,7,8]=>([(0,5),(0,7),(1,2),(2,5),(2,7),(3,6),(5,6),(6,4),(7,3)],8)
[2,3,6,1,4,5,7,8]=>([(0,7),(1,5),(2,6),(3,6),(5,3),(5,7),(6,4),(7,2)],8)
[2,3,4,6,1,5,7,8]=>([(0,6),(1,4),(2,7),(4,5),(5,2),(5,6),(6,7),(7,3)],8)
[2,3,4,6,1,7,5,8]=>([(0,6),(0,7),(1,3),(2,7),(3,4),(4,2),(4,6),(6,5),(7,5)],8)
[2,3,4,6,7,1,5,8]=>([(0,7),(1,5),(2,6),(3,4),(3,7),(4,2),(5,3),(7,6)],8)
[2,3,4,6,1,7,8,5]=>([(0,6),(0,7),(1,4),(2,7),(4,5),(5,2),(5,6),(7,3)],8)
[2,3,4,6,7,8,1,5]=>([(0,7),(1,5),(3,4),(4,2),(5,6),(6,3),(6,7)],8)
[2,1,7,3,8,4,5,6]=>([(0,6),(0,7),(1,6),(1,7),(3,4),(4,2),(6,5),(7,3),(7,5)],8)
[2,7,1,3,8,4,5,6]=>([(0,7),(1,3),(1,7),(3,6),(4,5),(5,2),(7,4),(7,6)],8)
[2,1,7,8,3,4,5,6]=>([(0,6),(0,7),(1,6),(1,7),(4,3),(5,4),(6,5),(7,2)],8)
[2,7,1,8,3,4,5,6]=>([(0,6),(0,7),(1,3),(1,7),(3,6),(4,2),(5,4),(7,5)],8)
[2,7,8,1,3,4,5,6]=>([(0,7),(1,5),(1,7),(4,2),(5,3),(6,4),(7,6)],8)
[2,1,7,3,4,8,5,6]=>([(0,6),(0,7),(1,6),(1,7),(3,2),(4,3),(4,5),(6,5),(7,4)],8)
[2,1,3,7,4,8,5,6]=>([(0,7),(1,7),(3,6),(4,2),(5,4),(5,6),(7,3),(7,5)],8)
[2,3,1,7,4,8,5,6]=>([(0,6),(0,7),(1,3),(3,6),(3,7),(4,2),(6,5),(7,4),(7,5)],8)
[2,3,7,1,4,8,5,6]=>([(0,7),(1,5),(3,6),(4,2),(5,3),(5,7),(7,4),(7,6)],8)
[2,1,3,7,8,4,5,6]=>([(0,7),(1,7),(4,3),(5,4),(6,2),(7,5),(7,6)],8)
[2,3,1,7,8,4,5,6]=>([(0,6),(0,7),(1,4),(4,6),(4,7),(5,3),(6,5),(7,2)],8)
[2,3,7,8,1,4,5,6]=>([(0,7),(1,5),(4,2),(5,4),(5,7),(6,3),(7,6)],8)
[2,1,7,3,4,5,8,6]=>([(0,6),(0,7),(1,6),(1,7),(3,4),(4,2),(4,5),(6,5),(7,3)],8)
[2,7,1,3,4,5,8,6]=>([(0,7),(1,3),(1,7),(3,6),(4,5),(5,2),(5,6),(7,4)],8)
[2,3,1,7,4,5,8,6]=>([(0,6),(0,7),(1,3),(3,6),(3,7),(4,2),(4,5),(6,5),(7,4)],8)
[2,3,7,1,4,5,8,6]=>([(0,7),(1,4),(3,6),(4,3),(4,7),(5,2),(5,6),(7,5)],8)
[2,1,3,4,7,5,8,6]=>([(0,7),(1,7),(3,6),(4,2),(4,6),(5,3),(5,4),(7,5)],8)
[2,3,4,1,7,5,8,6]=>([(0,6),(0,7),(1,4),(3,6),(3,7),(4,3),(6,5),(7,2),(7,5)],8)
[2,3,4,7,1,5,8,6]=>([(0,7),(1,5),(3,6),(4,3),(4,7),(5,4),(7,2),(7,6)],8)
[2,1,3,4,7,8,5,6]=>([(0,7),(1,7),(4,3),(5,2),(6,4),(6,5),(7,6)],8)
[2,3,1,4,7,8,5,6]=>([(0,7),(1,4),(4,7),(5,3),(6,2),(7,5),(7,6)],8)
[2,3,4,1,7,8,5,6]=>([(0,6),(0,7),(1,5),(2,6),(2,7),(5,2),(6,4),(7,3)],8)
[2,3,4,7,1,8,5,6]=>([(0,6),(0,7),(1,5),(3,6),(4,3),(4,7),(5,4),(7,2)],8)
[2,3,4,7,8,1,5,6]=>([(0,7),(1,5),(4,2),(5,6),(6,4),(6,7),(7,3)],8)
[2,1,7,3,4,5,6,8]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,2),(6,5),(7,3)],8)
[2,7,1,3,4,5,6,8]=>([(0,7),(1,3),(1,7),(2,6),(3,6),(4,5),(5,2),(7,4)],8)
[2,3,7,1,4,5,6,8]=>([(0,7),(1,5),(2,6),(3,6),(4,3),(5,2),(5,7),(7,4)],8)
[2,1,3,4,7,5,6,8]=>([(0,7),(1,7),(2,6),(3,6),(4,3),(5,2),(5,4),(7,5)],8)
[2,3,1,4,7,5,6,8]=>([(0,7),(1,2),(2,7),(3,6),(4,6),(5,4),(7,3),(7,5)],8)
[2,3,4,1,7,5,6,8]=>([(0,6),(0,7),(1,4),(2,6),(2,7),(3,5),(4,2),(6,5),(7,3)],8)
[2,3,4,7,1,5,6,8]=>([(0,7),(1,5),(2,6),(3,6),(4,3),(4,7),(5,4),(7,2)],8)
[2,3,4,5,7,1,6,8]=>([(0,7),(1,5),(2,6),(3,4),(4,2),(4,7),(5,3),(7,6)],8)
[2,3,4,5,7,1,8,6]=>([(0,6),(0,7),(1,4),(2,7),(3,5),(4,3),(5,2),(5,6)],8)
[2,3,4,5,7,8,1,6]=>([(0,7),(1,5),(3,6),(4,2),(5,3),(6,4),(6,7)],8)
[2,1,8,3,4,5,6,7]=>([(0,6),(0,7),(1,6),(1,7),(3,5),(4,3),(5,2),(7,4)],8)
[2,8,1,3,4,5,6,7]=>([(0,7),(1,3),(1,7),(4,5),(5,2),(6,4),(7,6)],8)
[2,1,3,8,4,5,6,7]=>([(0,7),(1,7),(4,5),(5,2),(6,4),(7,3),(7,6)],8)
[2,3,1,8,4,5,6,7]=>([(0,6),(0,7),(1,3),(3,6),(3,7),(4,2),(5,4),(7,5)],8)
[2,3,8,1,4,5,6,7]=>([(0,7),(1,5),(4,2),(5,3),(5,7),(6,4),(7,6)],8)
[2,1,3,4,8,5,6,7]=>([(0,7),(1,7),(4,5),(5,3),(6,2),(6,4),(7,6)],8)
[2,3,1,4,8,5,6,7]=>([(0,7),(1,3),(3,7),(5,2),(6,5),(7,4),(7,6)],8)
[2,3,4,1,8,5,6,7]=>([(0,6),(0,7),(1,4),(3,6),(3,7),(4,3),(5,2),(7,5)],8)
[2,3,4,8,1,5,6,7]=>([(0,7),(1,4),(4,5),(5,2),(5,7),(6,3),(7,6)],8)
[2,1,3,4,5,8,6,7]=>([(0,7),(1,7),(4,3),(5,6),(6,2),(6,4),(7,5)],8)
[2,3,1,4,5,8,6,7]=>([(0,7),(1,4),(4,7),(5,3),(6,2),(6,5),(7,6)],8)
[2,3,4,1,5,8,6,7]=>([(0,7),(1,5),(3,7),(5,3),(6,2),(7,4),(7,6)],8)
[2,3,4,5,1,8,6,7]=>([(0,6),(0,7),(1,5),(3,6),(3,7),(4,3),(5,4),(7,2)],8)
[2,3,4,5,8,1,6,7]=>([(0,7),(1,5),(4,6),(5,4),(6,2),(6,7),(7,3)],8)
[2,3,4,5,6,8,1,7]=>([(0,7),(1,5),(3,4),(4,6),(5,3),(6,2),(6,7)],8)
[3,1,4,2,6,5,8,7]=>([(0,7),(1,2),(1,7),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4),(7,5),(7,6)],8)
[3,4,1,2,6,5,8,7]=>([(0,3),(1,2),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[3,1,4,6,2,5,8,7]=>([(0,6),(1,2),(1,6),(2,7),(3,4),(3,5),(6,3),(6,7),(7,4),(7,5)],8)
[3,4,1,6,2,5,8,7]=>([(0,3),(1,2),(1,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[3,4,6,1,2,5,8,7]=>([(0,3),(1,4),(2,6),(2,7),(3,5),(4,2),(4,5),(5,6),(5,7)],8)
[3,1,4,2,6,8,5,7]=>([(0,7),(1,3),(1,7),(3,5),(3,6),(5,4),(6,2),(6,4),(7,5),(7,6)],8)
[3,4,1,2,6,8,5,7]=>([(0,4),(1,3),(3,5),(3,7),(4,5),(4,7),(5,6),(7,2),(7,6)],8)
[3,1,4,6,2,8,5,7]=>([(0,7),(1,3),(1,7),(2,4),(2,5),(3,4),(3,6),(6,5),(7,2),(7,6)],8)
[3,4,1,6,2,8,5,7]=>([(0,3),(1,2),(1,7),(2,5),(2,6),(3,6),(3,7),(6,4),(7,4),(7,5)],8)
[3,1,4,6,8,2,5,7]=>([(0,7),(1,3),(1,7),(3,5),(4,2),(4,6),(5,6),(7,4),(7,5)],8)
[3,4,1,6,8,2,5,7]=>([(0,4),(1,3),(1,7),(3,5),(4,5),(4,7),(5,6),(7,2),(7,6)],8)
[3,4,6,8,1,2,5,7]=>([(0,5),(1,3),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7)],8)
[3,1,4,2,6,5,7,8]=>([(0,7),(1,3),(1,7),(3,5),(3,6),(4,2),(5,4),(6,4),(7,5),(7,6)],8)
[3,4,1,2,6,5,7,8]=>([(0,4),(1,3),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7),(7,2)],8)
[3,1,4,2,6,7,5,8]=>([(0,7),(1,3),(1,7),(2,5),(3,4),(3,6),(4,2),(6,5),(7,4),(7,6)],8)
[3,4,1,2,6,7,5,8]=>([(0,4),(1,3),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(7,2)],8)
[3,4,1,6,2,7,5,8]=>([(0,3),(1,2),(1,5),(2,6),(2,7),(3,5),(3,7),(5,6),(6,4),(7,4)],8)
[3,4,6,1,2,7,5,8]=>([(0,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6),(5,7),(6,7)],8)
[3,4,1,6,7,2,5,8]=>([(0,4),(1,3),(1,7),(2,6),(3,5),(4,5),(4,7),(5,6),(7,2)],8)
[3,4,6,7,1,2,5,8]=>([(0,5),(1,3),(2,7),(3,6),(4,2),(5,4),(5,6),(6,7)],8)
[3,1,4,2,6,7,8,5]=>([(0,7),(1,3),(1,7),(3,5),(3,6),(4,2),(6,4),(7,5),(7,6)],8)
[3,4,1,2,6,7,8,5]=>([(0,4),(1,3),(3,6),(3,7),(4,6),(4,7),(5,2),(7,5)],8)
[3,1,4,6,2,7,8,5]=>([(0,7),(1,3),(1,7),(2,6),(3,5),(3,6),(6,4),(7,2),(7,5)],8)
[3,4,1,6,2,7,8,5]=>([(0,3),(1,4),(1,6),(3,5),(3,6),(4,5),(4,7),(6,7),(7,2)],8)
[3,4,6,1,2,7,8,5]=>([(0,4),(1,5),(3,7),(4,6),(4,7),(5,3),(5,6),(7,2)],8)
[3,1,4,6,7,2,8,5]=>([(0,7),(1,3),(1,7),(2,5),(3,5),(3,6),(4,2),(7,4),(7,6)],8)
[3,4,1,6,7,2,8,5]=>([(0,3),(1,4),(1,7),(2,6),(3,5),(3,7),(4,5),(4,6),(7,2)],8)
[3,4,6,1,7,2,8,5]=>([(0,3),(0,7),(1,4),(2,7),(3,5),(3,6),(4,2),(4,6),(7,5)],8)
[3,4,6,7,1,2,8,5]=>([(0,5),(1,3),(2,6),(3,6),(3,7),(4,2),(5,4),(5,7)],8)
[3,1,4,6,7,8,2,5]=>([(0,7),(1,3),(1,7),(3,6),(4,5),(5,2),(7,4),(7,6)],8)
[3,4,1,6,7,8,2,5]=>([(0,4),(1,3),(1,7),(3,6),(4,6),(4,7),(5,2),(7,5)],8)
[3,4,6,1,7,8,2,5]=>([(0,4),(0,7),(1,5),(3,7),(4,6),(5,3),(5,6),(7,2)],8)
[3,4,6,7,1,8,2,5]=>([(0,5),(1,3),(1,7),(2,7),(3,6),(4,2),(5,4),(5,6)],8)
[3,4,6,7,8,1,2,5]=>([(0,6),(1,3),(3,7),(4,5),(5,2),(6,4),(6,7)],8)
[3,1,4,2,7,5,8,6]=>([(0,7),(1,3),(1,7),(3,5),(3,6),(5,4),(6,2),(6,4),(7,5),(7,6)],8)
[3,4,1,2,7,5,8,6]=>([(0,4),(1,3),(3,5),(3,7),(4,5),(4,7),(5,6),(7,2),(7,6)],8)
[3,1,4,7,2,5,8,6]=>([(0,7),(1,3),(1,7),(2,5),(3,6),(6,4),(6,5),(7,2),(7,6)],8)
[3,4,7,1,2,5,8,6]=>([(0,4),(1,5),(3,6),(4,7),(5,3),(5,7),(7,2),(7,6)],8)
[3,1,4,2,7,8,5,6]=>([(0,5),(1,2),(1,5),(2,6),(2,7),(5,6),(5,7),(6,4),(7,3)],8)
[3,4,1,2,7,8,5,6]=>([(0,5),(1,4),(4,6),(4,7),(5,6),(5,7),(6,3),(7,2)],8)
[3,4,7,1,8,2,5,6]=>([(0,5),(1,4),(1,6),(3,6),(4,7),(5,3),(5,7),(7,2)],8)
[3,4,7,8,1,2,5,6]=>([(0,6),(1,4),(4,7),(5,2),(6,5),(6,7),(7,3)],8)
[3,1,4,2,7,5,6,8]=>([(0,7),(1,3),(1,7),(2,5),(3,4),(3,6),(4,2),(6,5),(7,4),(7,6)],8)
[3,4,1,2,7,5,6,8]=>([(0,4),(1,3),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(7,2)],8)
[3,4,1,2,5,7,6,8]=>([(0,5),(1,4),(2,6),(3,6),(4,7),(5,7),(7,2),(7,3)],8)
[3,1,4,5,2,7,6,8]=>([(0,5),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(5,2),(6,4),(7,4)],8)
[3,4,1,5,2,7,6,8]=>([(0,2),(1,3),(1,7),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)
[3,4,1,5,7,2,6,8]=>([(0,3),(1,4),(1,7),(2,6),(3,7),(4,5),(5,6),(7,2),(7,5)],8)
[3,4,5,7,1,2,6,8]=>([(0,5),(1,3),(2,7),(3,6),(4,2),(4,6),(5,4),(6,7)],8)
[3,1,4,2,5,7,8,6]=>([(0,6),(1,4),(1,6),(4,7),(5,3),(6,7),(7,2),(7,5)],8)
[3,4,1,2,5,7,8,6]=>([(0,5),(1,4),(4,7),(5,7),(6,2),(7,3),(7,6)],8)
[3,1,4,5,2,7,8,6]=>([(0,7),(1,3),(1,7),(2,5),(2,6),(3,5),(3,6),(6,4),(7,2)],8)
[3,4,5,1,2,7,8,6]=>([(0,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3),(7,2)],8)
[3,1,4,5,7,2,8,6]=>([(0,7),(1,3),(1,7),(2,5),(3,5),(3,6),(4,2),(4,6),(7,4)],8)
[3,4,1,5,7,2,8,6]=>([(0,3),(1,4),(1,7),(2,5),(3,7),(4,5),(4,6),(7,2),(7,6)],8)
[3,4,5,7,1,2,8,6]=>([(0,5),(1,3),(2,6),(3,6),(3,7),(4,2),(4,7),(5,4)],8)
[3,1,4,5,7,8,2,6]=>([(0,7),(1,3),(1,7),(3,6),(4,2),(5,4),(5,6),(7,5)],8)
[3,4,1,5,7,8,2,6]=>([(0,3),(1,4),(1,7),(3,7),(4,6),(5,2),(7,5),(7,6)],8)
[3,4,5,1,7,8,2,6]=>([(0,4),(0,7),(1,5),(3,6),(3,7),(4,6),(5,3),(7,2)],8)
[3,4,5,7,1,8,2,6]=>([(0,5),(1,3),(1,7),(2,7),(3,6),(4,2),(4,6),(5,4)],8)
[3,4,5,7,8,1,2,6]=>([(0,6),(1,3),(3,7),(4,2),(5,4),(5,7),(6,5)],8)
[3,1,4,2,8,5,6,7]=>([(0,7),(1,3),(1,7),(3,5),(3,6),(4,2),(6,4),(7,5),(7,6)],8)
[3,4,1,2,8,5,6,7]=>([(0,4),(1,3),(3,6),(3,7),(4,6),(4,7),(5,2),(7,5)],8)
[3,1,4,8,2,5,6,7]=>([(0,7),(1,4),(1,7),(4,6),(5,3),(6,5),(7,2),(7,6)],8)
[3,4,1,8,2,5,6,7]=>([(0,4),(1,3),(1,7),(3,6),(4,6),(4,7),(5,2),(6,5)],8)
[3,4,8,1,2,5,6,7]=>([(0,6),(1,4),(4,7),(5,3),(6,2),(6,7),(7,5)],8)
[3,1,4,2,5,8,6,7]=>([(0,6),(1,4),(1,6),(4,7),(5,3),(6,7),(7,2),(7,5)],8)
[3,4,1,2,5,8,6,7]=>([(0,5),(1,4),(4,7),(5,7),(6,2),(7,3),(7,6)],8)
[3,4,1,5,2,8,6,7]=>([(0,3),(1,4),(1,6),(3,6),(4,5),(4,7),(6,5),(6,7),(7,2)],8)
[3,4,5,1,2,8,6,7]=>([(0,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3),(7,2)],8)
[3,1,4,5,8,2,6,7]=>([(0,6),(1,4),(1,6),(4,7),(5,3),(5,7),(6,5),(7,2)],8)
[3,4,1,5,8,2,6,7]=>([(0,5),(0,7),(1,4),(4,7),(5,6),(6,3),(7,2),(7,6)],8)
[3,4,5,8,1,2,6,7]=>([(0,6),(1,4),(4,7),(5,2),(5,7),(6,5),(7,3)],8)
[3,4,1,2,5,6,8,7]=>([(0,5),(1,4),(4,7),(5,7),(6,2),(6,3),(7,6)],8)
[3,4,5,1,2,6,8,7]=>([(0,5),(1,6),(2,7),(5,7),(6,2),(7,3),(7,4)],8)
[3,1,4,5,6,2,8,7]=>([(0,7),(1,3),(1,7),(2,5),(2,6),(3,5),(3,6),(4,2),(7,4)],8)
[3,4,1,5,6,2,8,7]=>([(0,3),(1,4),(1,7),(2,5),(2,6),(3,7),(4,5),(4,6),(7,2)],8)
[3,4,5,1,6,2,8,7]=>([(0,3),(0,7),(1,4),(2,7),(3,5),(3,6),(4,2),(7,5),(7,6)],8)
[3,4,5,6,1,2,8,7]=>([(0,5),(1,3),(2,6),(2,7),(3,6),(3,7),(4,2),(5,4)],8)
[3,1,4,5,6,8,2,7]=>([(0,7),(1,3),(1,7),(3,6),(4,5),(5,2),(5,6),(7,4)],8)
[3,4,1,5,6,8,2,7]=>([(0,3),(1,4),(1,7),(3,7),(4,6),(5,2),(5,6),(7,5)],8)
[3,4,5,6,1,8,2,7]=>([(0,5),(1,3),(1,7),(2,6),(2,7),(3,6),(4,2),(5,4)],8)
[3,4,5,6,8,1,2,7]=>([(0,6),(1,3),(3,7),(4,5),(5,2),(5,7),(6,4)],8)
[3,1,4,2,5,6,7,8]=>([(0,7),(1,3),(1,7),(3,6),(4,2),(5,4),(6,5),(7,6)],8)
[3,1,4,5,2,6,7,8]=>([(0,7),(1,4),(1,7),(3,6),(4,6),(5,2),(6,5),(7,3)],8)
[3,4,1,5,2,6,7,8]=>([(0,3),(1,4),(1,7),(3,7),(4,6),(5,2),(6,5),(7,6)],8)
[3,4,1,5,6,2,7,8]=>([(0,5),(0,7),(1,4),(2,6),(4,7),(5,6),(6,3),(7,2)],8)
[3,4,5,1,6,2,7,8]=>([(0,5),(1,4),(1,6),(3,6),(4,7),(5,3),(6,7),(7,2)],8)
[3,1,4,5,6,7,2,8]=>([(0,7),(1,3),(1,7),(2,6),(3,6),(4,5),(5,2),(7,4)],8)
[3,4,1,5,6,7,2,8]=>([(0,3),(1,4),(1,7),(2,6),(3,7),(4,6),(5,2),(7,5)],8)
[3,4,5,1,6,7,2,8]=>([(0,4),(0,7),(1,5),(2,7),(3,6),(4,6),(5,2),(7,3)],8)
[3,4,5,6,1,7,2,8]=>([(0,5),(1,3),(1,7),(2,7),(3,6),(4,2),(5,4),(7,6)],8)
[3,1,4,5,6,7,8,2]=>([(0,7),(1,3),(1,7),(4,5),(5,2),(6,4),(7,6)],8)
[3,4,1,5,6,7,8,2]=>([(0,4),(1,3),(1,7),(4,7),(5,2),(6,5),(7,6)],8)
[3,4,5,1,6,7,8,2]=>([(0,6),(1,4),(1,7),(3,7),(5,2),(6,3),(7,5)],8)
[3,4,5,6,1,7,8,2]=>([(0,6),(1,4),(1,7),(2,7),(5,2),(6,5),(7,3)],8)
[3,4,5,6,7,1,8,2]=>([(0,6),(1,3),(1,7),(2,7),(4,5),(5,2),(6,4)],8)
[3,1,5,2,6,4,8,7]=>([(0,2),(0,5),(1,5),(1,7),(2,6),(2,7),(5,6),(6,3),(6,4),(7,3),(7,4)],8)
[3,5,1,2,6,4,8,7]=>([(0,3),(1,2),(1,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[3,1,5,6,2,4,8,7]=>([(0,2),(0,6),(1,6),(1,7),(2,7),(3,4),(3,5),(6,3),(7,4),(7,5)],8)
[3,5,1,6,2,4,8,7]=>([(0,3),(0,7),(1,2),(1,6),(2,7),(3,6),(6,4),(6,5),(7,4),(7,5)],8)
[3,5,6,1,2,4,8,7]=>([(0,3),(1,4),(1,7),(2,5),(2,6),(3,7),(4,2),(7,5),(7,6)],8)
[3,1,5,2,6,8,4,7]=>([(0,3),(0,7),(1,5),(1,7),(3,5),(3,6),(5,4),(6,2),(6,4),(7,6)],8)
[3,5,1,2,6,8,4,7]=>([(0,4),(1,3),(1,6),(3,7),(4,6),(4,7),(6,5),(7,2),(7,5)],8)
[3,1,5,6,2,8,4,7]=>([(0,3),(0,6),(1,6),(1,7),(2,4),(2,5),(3,4),(3,7),(6,2),(7,5)],8)
[3,5,6,1,2,8,4,7]=>([(0,3),(1,4),(1,7),(2,5),(2,6),(3,6),(3,7),(4,2),(7,5)],8)
[3,1,5,6,8,2,4,7]=>([(0,6),(0,7),(1,3),(1,7),(3,6),(4,2),(4,5),(6,5),(7,4)],8)
[3,5,1,6,8,2,4,7]=>([(0,4),(0,6),(1,3),(1,7),(3,6),(4,7),(6,5),(7,2),(7,5)],8)
[3,5,6,1,8,2,4,7]=>([(0,3),(0,6),(1,4),(1,7),(2,5),(2,6),(3,7),(4,2),(7,5)],8)
[3,5,6,8,1,2,4,7]=>([(0,5),(0,7),(1,3),(3,7),(4,2),(4,6),(5,4),(7,6)],8)
[3,1,5,6,2,4,7,8]=>([(0,5),(0,7),(1,2),(1,7),(2,5),(3,6),(5,6),(6,4),(7,3)],8)
[3,5,1,6,2,4,7,8]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(4,5),(5,7),(6,7),(7,2)],8)
[3,5,6,1,2,4,7,8]=>([(0,4),(1,5),(1,6),(3,7),(4,6),(5,3),(6,7),(7,2)],8)
[3,5,1,2,6,7,4,8]=>([(0,4),(1,3),(1,6),(2,5),(3,7),(4,6),(4,7),(6,5),(7,2)],8)
[3,5,1,6,2,7,4,8]=>([(0,3),(0,7),(1,2),(1,6),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5)],8)
[3,5,6,1,2,7,4,8]=>([(0,3),(1,4),(1,7),(2,5),(3,5),(3,7),(4,2),(5,6),(7,6)],8)
[3,5,1,6,7,2,4,8]=>([(0,4),(0,6),(1,3),(1,7),(2,5),(3,6),(4,7),(6,5),(7,2)],8)
[3,5,6,1,7,2,4,8]=>([(0,3),(0,6),(1,4),(1,7),(2,6),(3,7),(4,2),(6,5),(7,5)],8)
[3,5,6,7,1,2,4,8]=>([(0,5),(0,7),(1,3),(2,6),(3,7),(4,2),(5,4),(7,6)],8)
[3,1,5,2,6,7,8,4]=>([(0,6),(0,7),(1,3),(1,7),(3,5),(3,6),(4,2),(5,4),(7,5)],8)
[3,5,1,2,6,7,8,4]=>([(0,4),(1,3),(1,7),(3,6),(4,6),(4,7),(5,2),(6,5)],8)
[3,1,5,6,2,7,8,4]=>([(0,5),(0,7),(1,3),(1,7),(2,6),(3,5),(3,6),(6,4),(7,2)],8)
[3,5,1,6,2,7,8,4]=>([(0,3),(0,5),(1,4),(1,6),(3,6),(4,5),(4,7),(6,7),(7,2)],8)
[3,5,6,1,2,7,8,4]=>([(0,4),(1,5),(1,6),(3,7),(4,6),(4,7),(5,3),(7,2)],8)
[3,1,5,6,7,2,8,4]=>([(0,6),(0,7),(1,3),(1,7),(2,5),(3,5),(3,6),(4,2),(7,4)],8)
[3,5,1,6,7,2,8,4]=>([(0,3),(0,6),(1,4),(1,7),(2,5),(3,7),(4,5),(4,6),(7,2)],8)
[3,5,6,1,7,2,8,4]=>([(0,3),(0,6),(1,4),(1,7),(2,6),(3,5),(3,7),(4,2),(6,5)],8)
[3,5,6,7,1,2,8,4]=>([(0,5),(0,7),(1,3),(2,6),(3,6),(3,7),(4,2),(5,4)],8)
[3,1,5,6,7,8,2,4]=>([(0,6),(0,7),(1,3),(1,7),(3,6),(4,2),(5,4),(7,5)],8)
[3,5,1,6,7,8,2,4]=>([(0,4),(0,6),(1,3),(1,7),(3,6),(4,7),(5,2),(7,5)],8)
[3,5,6,1,7,8,2,4]=>([(0,4),(0,7),(1,5),(1,6),(3,7),(4,6),(5,3),(7,2)],8)
[3,5,6,7,1,8,2,4]=>([(0,5),(0,7),(1,3),(1,6),(2,6),(3,7),(4,2),(5,4)],8)
[3,5,6,7,8,1,2,4]=>([(0,3),(1,6),(1,7),(3,7),(4,5),(5,2),(6,4)],8)
[3,1,5,2,7,4,8,6]=>([(0,2),(0,7),(1,6),(1,7),(2,5),(2,6),(5,4),(6,3),(6,4),(7,3),(7,5)],8)
[3,5,1,2,7,4,8,6]=>([(0,3),(1,2),(1,7),(2,5),(2,6),(3,6),(3,7),(6,4),(7,4),(7,5)],8)
[3,1,5,7,2,4,8,6]=>([(0,3),(0,6),(1,6),(1,7),(2,5),(3,7),(6,2),(6,4),(7,4),(7,5)],8)
[3,5,1,7,2,4,8,6]=>([(0,3),(0,7),(1,2),(1,6),(2,7),(3,5),(3,6),(6,4),(7,4),(7,5)],8)
[3,5,7,1,2,4,8,6]=>([(0,3),(1,4),(1,7),(2,5),(3,7),(4,2),(4,6),(7,5),(7,6)],8)
[3,1,5,2,7,8,4,6]=>([(0,3),(0,7),(1,6),(1,7),(3,5),(3,6),(5,2),(6,4),(7,4),(7,5)],8)
[3,5,1,2,7,8,4,6]=>([(0,3),(1,4),(1,6),(3,6),(3,7),(4,5),(4,7),(6,5),(7,2)],8)
[3,1,5,7,2,8,4,6]=>([(0,3),(0,7),(1,6),(1,7),(2,5),(3,5),(3,6),(6,4),(7,2),(7,4)],8)
[3,5,1,7,2,8,4,6]=>([(0,3),(0,7),(1,2),(1,6),(2,4),(2,7),(3,5),(3,6),(6,4),(7,5)],8)
[3,1,5,7,8,2,4,6]=>([(0,6),(0,7),(1,3),(1,7),(3,6),(4,2),(6,5),(7,4),(7,5)],8)
[3,5,1,7,8,2,4,6]=>([(0,4),(0,6),(1,3),(1,7),(3,6),(4,5),(4,7),(6,5),(7,2)],8)
[3,5,7,8,1,2,4,6]=>([(0,5),(0,7),(1,3),(3,7),(4,2),(5,4),(5,6),(7,6)],8)
[3,1,5,2,7,4,6,8]=>([(0,2),(0,7),(1,6),(1,7),(2,5),(2,6),(4,3),(5,3),(6,4),(7,4),(7,5)],8)
[3,5,1,2,7,4,6,8]=>([(0,3),(1,2),(1,5),(2,6),(2,7),(3,5),(3,7),(5,6),(6,4),(7,4)],8)
[3,1,5,7,2,4,6,8]=>([(0,3),(0,7),(1,6),(1,7),(2,4),(3,6),(5,4),(6,5),(7,2),(7,5)],8)
[3,5,1,7,2,4,6,8]=>([(0,3),(0,7),(1,2),(1,6),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5)],8)
[3,5,7,1,2,4,6,8]=>([(0,3),(1,4),(1,7),(2,6),(3,7),(4,2),(4,5),(5,6),(7,5)],8)
[3,1,5,2,4,7,6,8]=>([(0,2),(0,7),(1,6),(1,7),(2,6),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)
[3,5,1,2,4,7,6,8]=>([(0,2),(1,3),(1,7),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)
[3,1,2,5,4,7,6,8]=>([(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)
[1,3,5,2,4,7,6,8]=>([(0,1),(0,2),(1,7),(2,3),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)
[3,1,2,5,7,4,6,8]=>([(0,3),(1,6),(1,7),(2,4),(3,6),(3,7),(5,4),(6,5),(7,2),(7,5)],8)
[1,3,2,5,7,4,6,8]=>([(0,2),(0,3),(1,4),(2,6),(2,7),(3,6),(3,7),(5,4),(6,5),(7,1),(7,5)],8)
[1,3,5,2,7,4,6,8]=>([(0,1),(0,3),(1,2),(1,5),(2,6),(2,7),(3,5),(3,7),(5,6),(6,4),(7,4)],8)
[1,3,5,7,2,4,6,8]=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[3,5,1,2,4,7,8,6]=>([(0,3),(1,4),(1,6),(3,6),(4,5),(4,7),(6,5),(6,7),(7,2)],8)
[3,1,2,5,7,4,8,6]=>([(0,3),(1,6),(1,7),(2,5),(3,6),(3,7),(6,2),(6,4),(7,4),(7,5)],8)
[1,3,5,2,7,4,8,6]=>([(0,1),(0,3),(1,2),(1,7),(2,5),(2,6),(3,6),(3,7),(6,4),(7,4),(7,5)],8)
[1,3,5,7,2,4,8,6]=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,6),(5,7)],8)
[1,3,2,5,7,8,4,6]=>([(0,2),(0,3),(2,5),(2,6),(3,5),(3,6),(4,1),(5,7),(6,4),(6,7)],8)
[1,3,5,2,7,8,4,6]=>([(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,2),(4,5),(5,6),(7,1)],8)
[1,3,5,7,2,8,4,6]=>([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(3,7),(4,3),(4,6),(6,7)],8)
[1,3,5,7,8,2,4,6]=>([(0,2),(0,5),(2,6),(3,4),(3,7),(4,1),(5,3),(5,6),(6,7)],8)
[3,1,5,2,8,4,6,7]=>([(0,3),(0,7),(1,6),(1,7),(3,4),(3,6),(5,2),(6,5),(7,4),(7,5)],8)
[3,5,1,2,8,4,6,7]=>([(0,3),(1,4),(1,6),(3,5),(3,6),(4,5),(4,7),(6,7),(7,2)],8)
[3,1,5,8,2,4,6,7]=>([(0,5),(0,7),(1,3),(1,7),(3,5),(5,6),(6,4),(7,2),(7,6)],8)
[3,5,1,8,2,4,6,7]=>([(0,3),(0,5),(1,4),(1,6),(3,6),(4,5),(4,7),(6,7),(7,2)],8)
[3,1,5,2,4,8,6,7]=>([(0,3),(0,7),(1,6),(1,7),(3,6),(5,2),(6,4),(6,5),(7,4),(7,5)],8)
[3,5,1,2,4,8,6,7]=>([(0,3),(1,4),(1,6),(3,6),(4,5),(4,7),(6,5),(6,7),(7,2)],8)
[1,3,2,5,4,8,6,7]=>([(0,2),(0,3),(2,6),(2,7),(3,6),(3,7),(5,1),(6,4),(6,5),(7,4),(7,5)],8)
[1,3,5,2,4,8,6,7]=>([(0,3),(0,4),(2,6),(2,7),(3,5),(4,2),(4,5),(5,6),(5,7),(7,1)],8)
[3,1,2,5,8,4,6,7]=>([(0,5),(0,7),(1,3),(3,5),(3,7),(5,6),(6,4),(7,2),(7,6)],8)
[1,3,2,5,8,4,6,7]=>([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,1),(6,7),(7,2)],8)
[1,3,5,2,8,4,6,7]=>([(0,3),(0,4),(2,5),(2,7),(3,5),(3,6),(4,2),(4,6),(6,7),(7,1)],8)
[1,3,5,8,2,4,6,7]=>([(0,3),(0,5),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,1)],8)
[3,5,1,2,4,6,8,7]=>([(0,5),(1,4),(1,6),(4,7),(5,6),(6,7),(7,2),(7,3)],8)
[3,1,2,5,4,6,8,7]=>([(0,5),(0,6),(1,4),(4,5),(4,6),(5,7),(6,7),(7,2),(7,3)],8)
[1,3,5,2,4,6,8,7]=>([(0,4),(0,5),(3,7),(4,6),(5,3),(5,6),(6,7),(7,1),(7,2)],8)
[1,3,5,2,6,4,8,7]=>([(0,2),(0,3),(1,7),(2,1),(2,6),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[1,3,5,6,2,4,8,7]=>([(0,2),(0,4),(1,6),(1,7),(2,5),(3,1),(4,3),(4,5),(5,6),(5,7)],8)
[3,1,2,5,6,8,4,7]=>([(0,6),(0,7),(1,3),(3,6),(3,7),(4,2),(4,5),(6,5),(7,4)],8)
[1,3,5,2,6,8,4,7]=>([(0,3),(0,4),(2,7),(3,5),(3,7),(4,2),(4,5),(5,6),(7,1),(7,6)],8)
[1,3,5,6,2,8,4,7]=>([(0,2),(0,4),(1,5),(1,7),(2,5),(2,6),(3,1),(4,3),(4,6),(6,7)],8)
[1,3,5,6,8,2,4,7]=>([(0,2),(0,5),(2,6),(3,4),(4,1),(4,7),(5,3),(5,6),(6,7)],8)
[3,5,1,2,4,6,7,8]=>([(0,3),(1,4),(1,7),(3,7),(4,6),(5,2),(6,5),(7,6)],8)
[1,3,5,2,4,6,7,8]=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)
[1,3,5,6,2,4,7,8]=>([(0,3),(0,5),(2,7),(3,6),(4,2),(5,4),(5,6),(6,7),(7,1)],8)
[3,1,2,5,6,7,4,8]=>([(0,6),(0,7),(1,3),(2,5),(3,6),(3,7),(4,2),(6,5),(7,4)],8)
[1,3,5,2,6,7,4,8]=>([(0,3),(0,4),(1,6),(2,7),(3,5),(3,7),(4,2),(4,5),(5,6),(7,1)],8)
[1,3,5,6,2,7,4,8]=>([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(4,3),(4,6),(5,7),(6,7)],8)
[1,3,5,6,7,2,4,8]=>([(0,2),(0,5),(1,7),(2,6),(3,4),(4,1),(5,3),(5,6),(6,7)],8)
[3,1,2,5,6,7,8,4]=>([(0,6),(0,7),(1,3),(3,6),(3,7),(4,2),(5,4),(7,5)],8)
[1,3,5,6,2,7,8,4]=>([(0,3),(0,5),(2,7),(3,6),(3,7),(4,2),(5,4),(5,6),(7,1)],8)
[1,3,5,6,7,2,8,4]=>([(0,2),(0,5),(1,7),(2,6),(2,7),(3,4),(4,1),(5,3),(5,6)],8)
[1,3,5,6,7,8,2,4]=>([(0,2),(0,6),(2,7),(3,5),(4,3),(5,1),(6,4),(6,7)],8)
[3,1,6,2,7,4,8,5]=>([(0,3),(0,7),(1,6),(1,7),(3,5),(3,6),(5,4),(6,2),(6,4),(7,5)],8)
[3,6,1,2,7,4,8,5]=>([(0,4),(1,3),(1,7),(3,5),(4,5),(4,7),(5,6),(7,2),(7,6)],8)
[3,6,1,7,2,4,8,5]=>([(0,4),(0,6),(1,3),(1,7),(3,6),(4,7),(6,5),(7,2),(7,5)],8)
[3,6,7,1,2,4,8,5]=>([(0,4),(1,5),(1,7),(3,6),(4,7),(5,3),(7,2),(7,6)],8)
[3,6,1,2,7,8,4,5]=>([(0,5),(1,4),(1,7),(4,6),(5,6),(5,7),(6,3),(7,2)],8)
[3,1,6,7,2,8,4,5]=>([(0,6),(0,7),(1,2),(1,7),(2,5),(2,6),(4,5),(6,3),(7,4)],8)
[3,6,1,7,2,8,4,5]=>([(0,4),(0,6),(1,3),(1,7),(3,6),(4,5),(4,7),(6,5),(7,2)],8)
[3,6,7,1,2,8,4,5]=>([(0,4),(1,5),(1,7),(3,6),(4,6),(4,7),(5,3),(7,2)],8)
[3,6,1,7,8,2,4,5]=>([(0,5),(0,7),(1,4),(1,6),(4,7),(5,6),(6,2),(7,3)],8)
[3,6,7,8,1,2,4,5]=>([(0,4),(1,6),(1,7),(4,7),(5,2),(6,5),(7,3)],8)
[3,1,6,2,7,4,5,8]=>([(0,3),(0,7),(1,4),(1,7),(2,5),(3,4),(3,6),(4,2),(6,5),(7,6)],8)
[3,1,6,7,2,4,5,8]=>([(0,6),(0,7),(1,2),(1,7),(2,6),(3,5),(4,5),(6,3),(7,4)],8)
[3,6,7,1,2,4,5,8]=>([(0,4),(1,5),(1,7),(2,6),(3,6),(4,7),(5,3),(7,2)],8)
[3,1,6,2,4,7,5,8]=>([(0,3),(0,7),(1,6),(1,7),(2,4),(3,6),(5,4),(6,2),(6,5),(7,5)],8)
[3,6,1,2,4,7,5,8]=>([(0,3),(1,4),(1,7),(2,6),(3,7),(4,5),(5,6),(7,2),(7,5)],8)
[3,1,2,6,4,7,5,8]=>([(0,3),(1,6),(1,7),(2,4),(3,6),(3,7),(5,4),(6,5),(7,2),(7,5)],8)
[1,3,2,6,4,7,5,8]=>([(0,2),(0,3),(1,4),(2,6),(2,7),(3,6),(3,7),(5,4),(6,5),(7,1),(7,5)],8)
[1,3,6,2,4,7,5,8]=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
[1,3,2,6,7,4,5,8]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,2),(7,1)],8)
[1,3,6,2,7,4,5,8]=>([(0,3),(0,4),(1,6),(2,5),(3,5),(3,7),(4,2),(4,7),(5,6),(7,1)],8)
[3,1,6,2,4,7,8,5]=>([(0,5),(0,7),(1,3),(1,5),(3,7),(5,6),(6,4),(7,2),(7,6)],8)
[3,6,1,2,4,7,8,5]=>([(0,5),(0,7),(1,4),(4,7),(5,6),(6,3),(7,2),(7,6)],8)
[3,1,2,6,4,7,8,5]=>([(0,5),(0,7),(1,3),(3,5),(3,7),(5,6),(6,4),(7,2),(7,6)],8)
[1,3,6,2,4,7,8,5]=>([(0,4),(0,5),(1,7),(4,6),(5,1),(5,6),(6,2),(6,7),(7,3)],8)
[3,1,2,6,7,4,8,5]=>([(0,6),(0,7),(1,2),(2,6),(2,7),(4,5),(6,4),(7,3),(7,5)],8)
[1,3,2,6,7,4,8,5]=>([(0,3),(0,4),(2,5),(3,6),(3,7),(4,6),(4,7),(6,2),(7,1),(7,5)],8)
[1,3,6,2,7,4,8,5]=>([(0,3),(0,4),(2,5),(3,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,6)],8)
[1,3,6,7,2,4,8,5]=>([(0,3),(0,5),(2,6),(3,7),(4,2),(5,4),(5,7),(7,1),(7,6)],8)
[3,1,2,6,7,8,4,5]=>([(0,6),(0,7),(1,4),(4,6),(4,7),(5,3),(6,5),(7,2)],8)
[1,3,2,6,7,8,4,5]=>([(0,3),(0,4),(3,6),(3,7),(4,6),(4,7),(5,2),(6,5),(7,1)],8)
[1,3,6,2,7,8,4,5]=>([(0,4),(0,5),(1,6),(4,6),(4,7),(5,1),(5,7),(6,2),(7,3)],8)
[1,3,6,7,8,2,4,5]=>([(0,3),(0,6),(3,7),(4,5),(5,1),(6,4),(6,7),(7,2)],8)
[3,1,6,2,8,4,5,7]=>([(0,3),(0,7),(1,5),(1,7),(2,6),(3,4),(3,5),(5,2),(7,4),(7,6)],8)
[3,6,1,2,8,4,5,7]=>([(0,3),(1,4),(1,7),(2,6),(3,5),(3,7),(4,5),(4,6),(7,2)],8)
[3,1,6,8,2,4,5,7]=>([(0,6),(0,7),(1,2),(1,7),(2,6),(4,5),(6,4),(7,3),(7,5)],8)
[3,6,1,8,2,4,5,7]=>([(0,3),(0,6),(1,4),(1,7),(2,5),(3,7),(4,5),(4,6),(7,2)],8)
[3,6,8,1,2,4,5,7]=>([(0,4),(1,5),(1,7),(3,6),(4,7),(5,2),(5,6),(7,3)],8)
[3,1,6,2,4,8,5,7]=>([(0,3),(0,7),(1,6),(1,7),(2,5),(3,6),(6,2),(6,4),(7,4),(7,5)],8)
[3,6,1,2,4,8,5,7]=>([(0,3),(1,4),(1,7),(2,5),(3,7),(4,5),(4,6),(7,2),(7,6)],8)
[1,3,2,6,4,8,5,7]=>([(0,2),(0,3),(1,5),(2,6),(2,7),(3,6),(3,7),(6,1),(6,4),(7,4),(7,5)],8)
[1,3,6,2,4,8,5,7]=>([(0,3),(0,4),(1,5),(2,5),(2,6),(3,7),(4,2),(4,7),(7,1),(7,6)],8)
[3,1,2,6,8,4,5,7]=>([(0,6),(0,7),(1,2),(2,6),(2,7),(4,5),(6,4),(7,3),(7,5)],8)
[1,3,2,6,8,4,5,7]=>([(0,3),(0,4),(2,5),(3,6),(3,7),(4,6),(4,7),(6,2),(7,1),(7,5)],8)
[3,1,6,2,4,5,8,7]=>([(0,2),(0,7),(1,6),(1,7),(2,6),(3,4),(3,5),(6,3),(7,4),(7,5)],8)
[3,6,1,2,4,5,8,7]=>([(0,3),(1,4),(1,7),(2,5),(2,6),(3,7),(4,5),(4,6),(7,2)],8)
[3,1,2,6,4,5,8,7]=>([(0,3),(1,4),(1,7),(2,5),(2,6),(3,4),(3,7),(4,2),(7,5),(7,6)],8)
[1,3,6,2,4,5,8,7]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,7),(4,2),(4,7),(7,1)],8)
[3,1,2,4,6,5,8,7]=>([(0,7),(1,2),(2,7),(3,5),(3,6),(4,5),(4,6),(7,3),(7,4)],8)
[1,3,4,6,2,5,8,7]=>([(0,2),(0,4),(1,6),(1,7),(2,5),(3,1),(3,5),(4,3),(5,6),(5,7)],8)
[3,1,2,4,6,8,5,7]=>([(0,7),(1,3),(3,7),(4,6),(5,2),(5,6),(7,4),(7,5)],8)
[1,3,2,4,6,8,5,7]=>([(0,3),(0,4),(2,6),(3,7),(4,7),(5,1),(5,6),(7,2),(7,5)],8)
[1,3,4,6,8,2,5,7]=>([(0,2),(0,5),(2,6),(3,1),(3,7),(4,3),(4,6),(5,4),(6,7)],8)
[3,1,6,2,4,5,7,8]=>([(0,5),(0,7),(1,2),(1,5),(2,7),(3,6),(5,6),(6,4),(7,3)],8)
[3,6,1,2,4,5,7,8]=>([(0,5),(0,7),(1,4),(2,6),(4,7),(5,6),(6,3),(7,2)],8)
[1,3,2,6,4,5,7,8]=>([(0,3),(0,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,2),(7,1)],8)
[1,3,6,2,4,5,7,8]=>([(0,4),(0,5),(1,6),(3,6),(4,7),(5,1),(5,7),(6,2),(7,3)],8)
[1,3,4,6,2,5,7,8]=>([(0,3),(0,5),(2,7),(3,6),(4,2),(4,6),(5,4),(6,7),(7,1)],8)
[3,1,2,4,6,7,5,8]=>([(0,7),(1,2),(2,7),(3,6),(4,6),(5,4),(7,3),(7,5)],8)
[1,3,4,6,2,7,5,8]=>([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,3),(5,7),(6,7)],8)
[1,3,4,6,7,2,5,8]=>([(0,2),(0,5),(1,7),(2,6),(3,1),(4,3),(4,6),(5,4),(6,7)],8)
[3,1,2,4,6,7,8,5]=>([(0,7),(1,3),(3,7),(5,2),(6,5),(7,4),(7,6)],8)
[1,3,4,6,7,2,8,5]=>([(0,2),(0,5),(1,7),(2,6),(2,7),(3,1),(4,3),(4,6),(5,4)],8)
[3,1,7,2,8,4,5,6]=>([(0,6),(0,7),(1,3),(1,7),(3,5),(3,6),(4,2),(6,4),(7,5)],8)
[3,7,1,2,8,4,5,6]=>([(0,4),(1,3),(1,7),(3,6),(4,6),(4,7),(5,2),(7,5)],8)
[3,1,7,8,2,4,5,6]=>([(0,6),(0,7),(1,4),(1,7),(4,6),(5,3),(6,5),(7,2)],8)
[3,7,1,8,2,4,5,6]=>([(0,4),(0,6),(1,3),(1,7),(3,6),(4,7),(5,2),(7,5)],8)
[3,7,8,1,2,4,5,6]=>([(0,4),(1,6),(1,7),(4,7),(5,3),(6,2),(7,5)],8)
[3,7,1,2,4,8,5,6]=>([(0,3),(1,4),(1,7),(3,7),(4,6),(5,2),(7,5),(7,6)],8)
[3,1,2,7,4,8,5,6]=>([(0,6),(0,7),(1,3),(3,6),(3,7),(4,2),(6,5),(7,4),(7,5)],8)
[1,3,2,7,4,8,5,6]=>([(0,2),(0,3),(2,5),(2,6),(3,5),(3,6),(4,1),(5,7),(6,4),(6,7)],8)
[1,3,7,2,4,8,5,6]=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,4),(6,7)],8)
[3,1,2,7,8,4,5,6]=>([(0,6),(0,7),(1,4),(4,6),(4,7),(5,3),(6,5),(7,2)],8)
[1,3,7,2,8,4,5,6]=>([(0,3),(0,5),(2,6),(3,6),(3,7),(4,1),(5,2),(5,7),(7,4)],8)
[1,3,7,8,2,4,5,6]=>([(0,3),(0,6),(3,7),(4,2),(5,1),(6,4),(6,7),(7,5)],8)
[3,1,7,2,4,5,8,6]=>([(0,6),(0,7),(1,3),(1,7),(3,6),(4,2),(4,5),(6,4),(7,5)],8)
[3,7,1,2,4,5,8,6]=>([(0,3),(1,4),(1,7),(3,7),(4,6),(5,2),(5,6),(7,5)],8)
[1,3,7,2,4,5,8,6]=>([(0,3),(0,5),(2,7),(3,6),(4,1),(4,7),(5,2),(5,6),(6,4)],8)
[3,1,2,4,7,5,8,6]=>([(0,7),(1,3),(3,7),(4,6),(5,2),(5,6),(7,4),(7,5)],8)
[1,3,2,4,7,5,8,6]=>([(0,3),(0,4),(2,6),(3,7),(4,7),(5,1),(5,6),(7,2),(7,5)],8)
[1,3,4,2,7,5,8,6]=>([(0,3),(0,4),(2,5),(2,7),(3,5),(3,7),(4,2),(5,6),(7,1),(7,6)],8)
[1,3,4,7,2,5,8,6]=>([(0,3),(0,5),(2,6),(3,7),(4,2),(4,7),(5,4),(7,1),(7,6)],8)
[3,1,2,4,7,8,5,6]=>([(0,7),(1,4),(4,7),(5,3),(6,2),(7,5),(7,6)],8)
[1,3,2,4,7,8,5,6]=>([(0,3),(0,4),(3,7),(4,7),(5,2),(6,1),(7,5),(7,6)],8)
[1,3,4,2,7,8,5,6]=>([(0,4),(0,5),(1,6),(1,7),(4,6),(4,7),(5,1),(6,3),(7,2)],8)
[1,3,4,7,8,2,5,6]=>([(0,3),(0,6),(3,7),(4,1),(5,4),(5,7),(6,5),(7,2)],8)
[3,1,7,2,4,5,6,8]=>([(0,6),(0,7),(1,3),(1,7),(2,5),(3,6),(4,2),(6,4),(7,5)],8)
[3,7,1,2,4,5,6,8]=>([(0,3),(1,4),(1,7),(2,6),(3,7),(4,6),(5,2),(7,5)],8)
[3,1,2,7,4,5,6,8]=>([(0,6),(0,7),(1,3),(2,5),(3,6),(3,7),(4,2),(6,5),(7,4)],8)
[1,3,2,7,4,5,6,8]=>([(0,2),(0,3),(1,7),(2,5),(2,6),(3,5),(3,6),(4,1),(5,7),(6,4)],8)
[1,3,7,2,4,5,6,8]=>([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(5,7),(7,4)],8)
[3,1,2,4,7,5,6,8]=>([(0,7),(1,2),(2,7),(3,6),(4,6),(5,4),(7,3),(7,5)],8)
[1,3,4,7,2,5,6,8]=>([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(4,7),(5,4),(7,1)],8)
[3,1,2,4,5,7,6,8]=>([(0,7),(1,2),(2,7),(3,6),(4,6),(5,3),(5,4),(7,5)],8)
[1,3,4,5,7,2,6,8]=>([(0,2),(0,5),(1,7),(2,6),(3,4),(4,1),(4,6),(5,3),(6,7)],8)
[3,1,2,4,5,7,8,6]=>([(0,7),(1,4),(4,7),(5,3),(6,2),(6,5),(7,6)],8)
[1,3,4,5,7,8,2,6]=>([(0,2),(0,6),(2,7),(3,5),(4,1),(5,4),(5,7),(6,3)],8)
[3,1,8,2,4,5,6,7]=>([(0,6),(0,7),(1,3),(1,7),(3,6),(4,2),(5,4),(6,5)],8)
[3,8,1,2,4,5,6,7]=>([(0,4),(1,3),(1,7),(4,7),(5,2),(6,5),(7,6)],8)
[3,1,2,8,4,5,6,7]=>([(0,6),(0,7),(1,3),(3,6),(3,7),(4,2),(5,4),(7,5)],8)
[1,3,2,8,4,5,6,7]=>([(0,2),(0,3),(2,6),(2,7),(3,6),(3,7),(4,1),(5,4),(7,5)],8)
[1,3,8,2,4,5,6,7]=>([(0,3),(0,6),(3,7),(4,2),(5,4),(6,1),(6,7),(7,5)],8)
[3,1,2,4,8,5,6,7]=>([(0,7),(1,3),(3,7),(5,2),(6,5),(7,4),(7,6)],8)
[1,3,2,4,8,5,6,7]=>([(0,3),(0,4),(3,7),(4,7),(5,1),(6,5),(7,2),(7,6)],8)
[1,3,4,2,8,5,6,7]=>([(0,3),(0,5),(2,6),(2,7),(3,6),(3,7),(4,1),(5,2),(7,4)],8)
[1,3,4,8,2,5,6,7]=>([(0,3),(0,6),(3,7),(4,2),(4,7),(5,1),(6,4),(7,5)],8)
[3,1,2,4,5,8,6,7]=>([(0,7),(1,4),(4,7),(5,3),(6,2),(6,5),(7,6)],8)
[1,3,2,4,5,8,6,7]=>([(0,3),(0,4),(3,7),(4,7),(5,2),(6,1),(6,5),(7,6)],8)
[1,3,4,2,5,8,6,7]=>([(0,4),(0,6),(2,7),(4,7),(5,1),(6,2),(7,3),(7,5)],8)
[1,3,4,5,2,8,6,7]=>([(0,3),(0,5),(2,6),(2,7),(3,6),(3,7),(4,2),(5,4),(7,1)],8)
[1,3,4,5,8,2,6,7]=>([(0,3),(0,6),(3,7),(4,5),(5,1),(5,7),(6,4),(7,2)],8)
[3,1,2,4,5,6,8,7]=>([(0,7),(1,4),(4,7),(5,6),(6,2),(6,3),(7,5)],8)
[1,3,4,5,6,8,2,7]=>([(0,2),(0,6),(2,7),(3,5),(4,3),(5,1),(5,7),(6,4)],8)
[4,1,5,2,6,3,8,7]=>([(0,6),(1,2),(1,6),(2,3),(2,7),(3,4),(3,5),(6,7),(7,4),(7,5)],8)
[4,5,1,2,6,3,8,7]=>([(0,3),(1,4),(2,6),(2,7),(3,5),(4,2),(4,5),(5,6),(5,7)],8)
[4,1,5,6,2,3,8,7]=>([(0,7),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,3),(7,2)],8)
[4,5,1,6,2,3,8,7]=>([(0,3),(1,4),(1,7),(2,5),(2,6),(3,7),(4,2),(7,5),(7,6)],8)
[4,5,6,1,2,3,8,7]=>([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,2),(5,3)],8)
[4,1,5,2,6,8,3,7]=>([(0,6),(1,4),(1,6),(3,5),(4,3),(4,7),(6,7),(7,2),(7,5)],8)
[4,5,1,2,6,8,3,7]=>([(0,4),(1,5),(3,6),(4,7),(5,3),(5,7),(7,2),(7,6)],8)
[4,1,5,6,2,8,3,7]=>([(0,7),(1,4),(1,7),(2,5),(3,5),(3,6),(4,2),(4,6),(7,3)],8)
[4,5,1,6,2,8,3,7]=>([(0,3),(1,4),(1,7),(2,5),(3,7),(4,2),(4,6),(7,5),(7,6)],8)
[4,5,6,1,2,8,3,7]=>([(0,5),(1,4),(2,6),(3,6),(3,7),(4,3),(5,2),(5,7)],8)
[4,1,5,6,8,2,3,7]=>([(0,7),(1,4),(1,7),(3,6),(4,3),(5,2),(5,6),(7,5)],8)
[4,5,1,6,8,2,3,7]=>([(0,4),(1,5),(1,7),(3,6),(4,7),(5,3),(7,2),(7,6)],8)
[4,5,6,1,8,2,3,7]=>([(0,4),(1,5),(1,7),(2,6),(3,6),(3,7),(4,3),(5,2)],8)
[4,5,6,8,1,2,3,7]=>([(0,5),(1,6),(3,7),(4,2),(4,7),(5,3),(6,4)],8)
[4,1,5,2,6,3,7,8]=>([(0,6),(1,4),(1,6),(3,7),(4,3),(4,5),(5,7),(6,5),(7,2)],8)
[4,1,5,6,2,3,7,8]=>([(0,7),(1,5),(1,7),(2,6),(3,6),(5,3),(6,4),(7,2)],8)
[4,5,1,6,2,3,7,8]=>([(0,4),(1,5),(1,6),(3,7),(4,6),(5,3),(6,7),(7,2)],8)
[4,5,1,2,6,7,3,8]=>([(0,4),(1,5),(2,6),(3,6),(4,7),(5,3),(5,7),(7,2)],8)
[4,5,1,6,2,7,3,8]=>([(0,3),(1,4),(1,7),(2,6),(3,7),(4,2),(4,5),(5,6),(7,5)],8)
[4,5,6,1,2,7,3,8]=>([(0,5),(1,4),(2,7),(3,6),(4,3),(5,2),(5,6),(6,7)],8)
[4,1,5,6,7,2,3,8]=>([(0,7),(1,5),(1,7),(2,6),(3,6),(4,3),(5,2),(7,4)],8)
[4,5,1,6,7,2,3,8]=>([(0,4),(1,5),(1,7),(2,6),(3,6),(4,7),(5,3),(7,2)],8)
[4,5,6,1,7,2,3,8]=>([(0,4),(1,5),(1,7),(2,7),(3,6),(4,2),(5,3),(7,6)],8)
[4,1,5,2,6,7,8,3]=>([(0,7),(1,4),(1,7),(4,3),(4,6),(5,2),(6,5),(7,6)],8)
[4,5,1,2,6,7,8,3]=>([(0,6),(1,4),(4,7),(5,3),(6,2),(6,7),(7,5)],8)
[4,5,1,6,2,7,8,3]=>([(0,4),(1,5),(1,6),(4,6),(5,3),(5,7),(6,7),(7,2)],8)
[4,5,6,1,2,7,8,3]=>([(0,6),(1,5),(3,7),(5,3),(6,2),(6,7),(7,4)],8)
[4,1,5,6,7,2,8,3]=>([(0,7),(1,5),(1,7),(3,6),(4,3),(5,2),(5,6),(7,4)],8)
[4,5,1,6,7,2,8,3]=>([(0,4),(1,5),(1,7),(3,6),(4,7),(5,2),(5,6),(7,3)],8)
[4,5,6,1,7,2,8,3]=>([(0,5),(0,7),(1,4),(3,7),(4,3),(5,2),(5,6),(7,6)],8)
[4,5,6,7,1,2,8,3]=>([(0,5),(1,6),(3,7),(4,3),(5,4),(6,2),(6,7)],8)
[4,1,5,6,7,8,2,3]=>([(0,7),(1,5),(1,7),(4,2),(5,3),(6,4),(7,6)],8)
[4,5,1,6,7,8,2,3]=>([(0,4),(1,6),(1,7),(4,7),(5,3),(6,2),(7,5)],8)
[4,5,6,1,7,8,2,3]=>([(0,5),(1,6),(1,7),(3,7),(5,3),(6,2),(7,4)],8)
[4,5,6,7,1,8,2,3]=>([(0,5),(1,6),(1,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,1,5,2,7,3,8,6]=>([(0,7),(1,2),(1,7),(2,3),(2,6),(3,4),(3,5),(6,5),(7,4),(7,6)],8)
[4,5,1,2,7,3,8,6]=>([(0,3),(1,4),(2,5),(2,7),(3,5),(3,6),(4,2),(4,6),(6,7)],8)
[4,5,1,7,2,3,8,6]=>([(0,3),(1,4),(1,7),(2,5),(2,6),(3,6),(3,7),(4,2),(7,5)],8)
[4,1,5,2,7,8,3,6]=>([(0,6),(1,4),(1,6),(3,5),(4,3),(4,7),(6,5),(6,7),(7,2)],8)
[4,5,1,2,7,8,3,6]=>([(0,4),(1,5),(3,6),(4,6),(4,7),(5,3),(5,7),(7,2)],8)
[4,1,5,7,2,8,3,6]=>([(0,7),(1,4),(1,7),(2,6),(3,5),(4,3),(4,6),(7,2),(7,5)],8)
[4,5,1,7,2,8,3,6]=>([(0,3),(1,4),(1,7),(2,5),(3,5),(3,7),(4,2),(4,6),(7,6)],8)
[4,5,7,1,2,8,3,6]=>([(0,5),(1,4),(2,7),(3,6),(4,2),(4,6),(5,3),(5,7)],8)
[4,5,1,7,8,2,3,6]=>([(0,4),(1,5),(1,7),(3,6),(4,6),(4,7),(5,3),(7,2)],8)
[4,5,7,8,1,2,3,6]=>([(0,5),(1,6),(3,7),(4,2),(5,3),(6,4),(6,7)],8)
[4,1,5,2,7,3,6,8]=>([(0,7),(1,3),(1,7),(2,6),(3,2),(3,5),(5,4),(6,4),(7,5),(7,6)],8)
[4,5,1,2,7,3,6,8]=>([(0,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6),(5,7),(6,7)],8)
[4,1,5,2,3,7,6,8]=>([(0,7),(1,2),(1,7),(2,3),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)
[4,5,1,2,3,7,6,8]=>([(0,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(5,7),(6,7)],8)
[4,1,2,5,3,7,6,8]=>([(0,2),(1,7),(2,3),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)
[1,4,2,5,3,7,6,8]=>([(0,1),(0,2),(1,7),(2,3),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)
[1,4,5,2,3,7,6,8]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1),(5,7),(6,7)],8)
[4,1,2,5,7,3,6,8]=>([(0,7),(1,4),(2,6),(3,5),(4,3),(4,7),(5,6),(7,2),(7,5)],8)
[1,4,2,5,7,3,6,8]=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
[1,4,5,2,7,3,6,8]=>([(0,3),(0,4),(1,5),(2,5),(2,6),(3,2),(4,1),(4,6),(5,7),(6,7)],8)
[1,4,5,7,2,3,6,8]=>([(0,4),(0,5),(1,7),(2,6),(3,1),(3,6),(4,2),(5,3),(6,7)],8)
[4,1,5,2,3,7,8,6]=>([(0,6),(1,4),(1,6),(3,5),(3,7),(4,3),(6,5),(6,7),(7,2)],8)
[4,1,2,5,3,7,8,6]=>([(0,6),(1,4),(3,5),(3,7),(4,3),(4,6),(6,5),(6,7),(7,2)],8)
[1,4,5,2,3,7,8,6]=>([(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,3),(5,2),(7,1)],8)
[4,1,2,5,7,3,8,6]=>([(0,7),(1,4),(2,5),(3,5),(3,6),(4,3),(4,7),(7,2),(7,6)],8)
[1,4,2,5,7,3,8,6]=>([(0,3),(0,4),(1,5),(2,5),(2,6),(3,7),(4,2),(4,7),(7,1),(7,6)],8)
[1,4,5,2,7,3,8,6]=>([(0,3),(0,4),(1,5),(1,7),(2,5),(2,6),(3,2),(4,1),(4,6),(6,7)],8)
[1,4,5,7,2,3,8,6]=>([(0,4),(0,5),(1,7),(2,6),(2,7),(3,1),(3,6),(4,2),(5,3)],8)
[4,1,2,5,7,8,3,6]=>([(0,7),(1,5),(3,6),(4,2),(5,3),(5,7),(7,4),(7,6)],8)
[1,4,2,5,7,8,3,6]=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,4),(6,7)],8)
[1,4,5,2,7,8,3,6]=>([(0,4),(0,5),(2,6),(3,6),(3,7),(4,3),(5,2),(5,7),(7,1)],8)
[1,4,5,7,8,2,3,6]=>([(0,5),(0,6),(2,7),(3,1),(4,3),(4,7),(5,4),(6,2)],8)
[4,1,5,2,8,3,6,7]=>([(0,6),(1,4),(1,6),(3,7),(4,3),(4,5),(6,5),(6,7),(7,2)],8)
[4,5,1,2,8,3,6,7]=>([(0,4),(1,5),(3,7),(4,6),(4,7),(5,3),(5,6),(7,2)],8)
[4,5,1,8,2,3,6,7]=>([(0,4),(1,5),(1,6),(3,7),(4,6),(4,7),(5,3),(7,2)],8)
[4,5,8,1,2,3,6,7]=>([(0,6),(1,5),(3,7),(5,3),(6,2),(6,7),(7,4)],8)
[4,1,5,2,3,8,6,7]=>([(0,6),(1,4),(1,6),(3,5),(3,7),(4,3),(6,5),(6,7),(7,2)],8)
[4,5,1,2,3,8,6,7]=>([(0,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3),(7,2)],8)
[4,1,2,5,3,8,6,7]=>([(0,6),(1,4),(3,5),(3,7),(4,3),(4,6),(6,5),(6,7),(7,2)],8)
[1,4,2,5,3,8,6,7]=>([(0,3),(0,4),(2,6),(2,7),(3,5),(4,2),(4,5),(5,6),(5,7),(7,1)],8)
[1,4,5,2,3,8,6,7]=>([(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,3),(5,2),(7,1)],8)
[4,1,2,5,8,3,6,7]=>([(0,7),(1,5),(3,6),(5,3),(5,7),(6,4),(7,2),(7,6)],8)
[1,4,2,5,8,3,6,7]=>([(0,4),(0,5),(1,7),(4,6),(5,1),(5,6),(6,2),(6,7),(7,3)],8)
[1,4,5,2,8,3,6,7]=>([(0,4),(0,5),(1,7),(3,6),(3,7),(4,3),(5,1),(5,6),(7,2)],8)
[1,4,2,5,3,6,8,7]=>([(0,4),(0,5),(3,7),(4,6),(5,3),(5,6),(6,7),(7,1),(7,2)],8)
[4,1,2,5,6,3,8,7]=>([(0,7),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3),(4,7),(7,2)],8)
[1,4,5,2,6,3,8,7]=>([(0,3),(0,4),(1,5),(2,6),(2,7),(3,1),(4,2),(4,5),(5,6),(5,7)],8)
[4,1,2,5,6,8,3,7]=>([(0,7),(1,4),(3,6),(4,3),(4,7),(5,2),(5,6),(7,5)],8)
[1,4,2,5,6,8,3,7]=>([(0,3),(0,5),(2,7),(3,6),(4,1),(4,7),(5,2),(5,6),(6,4)],8)
[1,4,5,2,6,8,3,7]=>([(0,4),(0,5),(2,7),(3,6),(4,2),(5,3),(5,7),(7,1),(7,6)],8)
[1,4,5,6,8,2,3,7]=>([(0,5),(0,6),(2,7),(3,4),(4,1),(4,7),(5,3),(6,2)],8)
[4,1,5,2,3,6,7,8]=>([(0,7),(1,4),(1,7),(3,6),(4,3),(5,2),(6,5),(7,6)],8)
[4,1,2,5,3,6,7,8]=>([(0,7),(1,4),(3,6),(4,3),(4,7),(5,2),(6,5),(7,6)],8)
[1,4,2,5,3,6,7,8]=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)
[1,4,5,2,3,6,7,8]=>([(0,5),(0,6),(2,7),(3,7),(4,1),(5,3),(6,2),(7,4)],8)
[4,1,2,5,6,3,7,8]=>([(0,7),(1,5),(2,6),(3,6),(5,3),(5,7),(6,4),(7,2)],8)
[1,4,5,2,6,3,7,8]=>([(0,4),(0,5),(1,7),(3,6),(4,3),(5,1),(5,6),(6,7),(7,2)],8)
[1,4,5,6,2,3,7,8]=>([(0,5),(0,6),(1,7),(2,7),(4,1),(5,2),(6,4),(7,3)],8)
[4,1,2,5,6,7,3,8]=>([(0,7),(1,5),(2,6),(3,6),(4,3),(5,2),(5,7),(7,4)],8)
[1,4,2,5,6,7,3,8]=>([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(5,7),(7,4)],8)
[1,4,5,2,6,7,3,8]=>([(0,4),(0,5),(1,7),(2,6),(3,6),(4,1),(5,3),(5,7),(7,2)],8)
[1,4,5,6,2,7,3,8]=>([(0,4),(0,5),(1,7),(2,6),(3,2),(4,3),(5,1),(5,6),(6,7)],8)
[1,4,5,6,7,2,3,8]=>([(0,5),(0,6),(1,7),(2,7),(3,4),(4,2),(5,3),(6,1)],8)
[4,1,2,5,6,7,8,3]=>([(0,7),(1,5),(4,2),(5,3),(5,7),(6,4),(7,6)],8)
[1,4,2,5,6,7,8,3]=>([(0,3),(0,6),(3,7),(4,2),(5,4),(6,1),(6,7),(7,5)],8)
[1,4,5,2,6,7,8,3]=>([(0,5),(0,6),(3,7),(4,2),(5,3),(6,1),(6,7),(7,4)],8)
[1,4,5,6,2,7,8,3]=>([(0,5),(0,6),(2,7),(4,2),(5,4),(6,1),(6,7),(7,3)],8)
[1,4,5,6,7,2,8,3]=>([(0,5),(0,6),(2,7),(3,2),(4,3),(5,4),(6,1),(6,7)],8)
[1,4,5,6,7,8,2,3]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)
[4,1,6,2,7,3,8,5]=>([(0,2),(0,7),(1,5),(1,7),(2,3),(2,6),(3,4),(3,5),(6,4),(7,6)],8)
[4,1,6,7,2,3,8,5]=>([(0,6),(0,7),(1,4),(1,7),(2,5),(3,5),(3,6),(4,3),(7,2)],8)
[4,6,7,1,2,3,8,5]=>([(0,4),(1,5),(1,7),(2,6),(3,6),(3,7),(4,3),(5,2)],8)
[4,6,1,2,7,8,3,5]=>([(0,5),(1,4),(1,6),(3,6),(4,7),(5,3),(5,7),(7,2)],8)
[4,6,1,7,2,8,3,5]=>([(0,3),(0,6),(1,4),(1,7),(2,6),(3,7),(4,2),(4,5),(7,5)],8)
[4,6,7,1,2,8,3,5]=>([(0,5),(1,4),(1,7),(2,7),(3,6),(4,3),(5,2),(5,6)],8)
[4,1,6,7,8,2,3,5]=>([(0,6),(0,7),(1,4),(1,7),(3,6),(4,3),(5,2),(7,5)],8)
[4,6,1,7,8,2,3,5]=>([(0,5),(0,7),(1,4),(1,6),(3,6),(4,7),(5,3),(7,2)],8)
[4,6,7,1,8,2,3,5]=>([(0,5),(0,7),(1,4),(1,6),(2,7),(3,6),(4,2),(5,3)],8)
[4,6,7,8,1,2,3,5]=>([(0,5),(1,6),(1,7),(3,7),(4,2),(5,3),(6,4)],8)
[4,1,6,2,7,3,5,8]=>([(0,3),(0,7),(1,6),(1,7),(2,6),(3,2),(3,5),(5,4),(6,4),(7,5)],8)
[4,6,1,2,7,3,5,8]=>([(0,3),(0,7),(1,4),(2,7),(3,5),(4,2),(4,5),(5,6),(7,6)],8)
[4,1,6,7,2,3,5,8]=>([(0,6),(0,7),(1,4),(1,7),(2,6),(3,5),(4,2),(6,5),(7,3)],8)
[4,6,1,7,2,3,5,8]=>([(0,3),(0,6),(1,4),(1,7),(2,6),(3,7),(4,2),(6,5),(7,5)],8)
[4,6,7,1,2,3,5,8]=>([(0,4),(1,5),(1,7),(2,7),(3,6),(4,2),(5,3),(7,6)],8)
[4,1,6,2,3,7,5,8]=>([(0,2),(0,7),(1,6),(1,7),(2,3),(3,5),(3,6),(5,4),(6,4),(7,5)],8)
[4,6,1,2,3,7,5,8]=>([(0,3),(0,7),(1,4),(2,5),(2,7),(3,5),(4,2),(5,6),(7,6)],8)
[4,1,2,6,3,7,5,8]=>([(0,2),(1,6),(1,7),(2,3),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5)],8)
[1,4,2,6,3,7,5,8]=>([(0,1),(0,3),(1,2),(1,5),(2,6),(2,7),(3,5),(3,7),(5,6),(6,4),(7,4)],8)
[4,1,2,6,7,3,5,8]=>([(0,6),(0,7),(1,4),(2,6),(3,5),(4,2),(4,7),(6,5),(7,3)],8)
[1,4,2,6,7,3,5,8]=>([(0,3),(0,4),(1,6),(2,5),(3,5),(3,7),(4,2),(4,7),(5,6),(7,1)],8)
[1,4,6,2,7,3,5,8]=>([(0,3),(0,4),(1,6),(2,5),(3,2),(3,6),(4,1),(4,5),(5,7),(6,7)],8)
[1,4,6,7,2,3,5,8]=>([(0,4),(0,5),(1,7),(2,6),(3,1),(4,2),(5,3),(5,6),(6,7)],8)
[4,1,6,2,3,7,8,5]=>([(0,5),(0,6),(1,4),(1,6),(3,5),(3,7),(4,3),(6,7),(7,2)],8)
[4,1,2,6,3,7,8,5]=>([(0,5),(0,6),(1,4),(3,5),(3,7),(4,3),(4,6),(6,7),(7,2)],8)
[1,4,6,2,3,7,8,5]=>([(0,4),(0,5),(1,7),(3,6),(3,7),(4,3),(5,1),(5,6),(7,2)],8)
[4,1,2,6,7,3,8,5]=>([(0,6),(0,7),(1,4),(2,5),(3,5),(3,6),(4,3),(4,7),(7,2)],8)
[1,4,6,2,7,3,8,5]=>([(0,3),(0,4),(1,6),(2,5),(2,7),(3,1),(3,5),(4,2),(4,6),(6,7)],8)
[1,4,2,6,7,8,3,5]=>([(0,3),(0,5),(2,6),(3,6),(3,7),(4,1),(5,2),(5,7),(7,4)],8)
[1,4,6,2,7,8,3,5]=>([(0,4),(0,5),(1,7),(3,6),(4,3),(4,7),(5,1),(5,6),(7,2)],8)
[1,4,6,7,2,8,3,5]=>([(0,4),(0,5),(1,6),(2,7),(3,2),(4,3),(4,6),(5,1),(5,7)],8)
[1,4,6,7,8,2,3,5]=>([(0,5),(0,6),(2,7),(3,4),(4,1),(5,2),(6,3),(6,7)],8)
[4,1,6,2,8,3,5,7]=>([(0,3),(0,7),(1,6),(1,7),(2,6),(3,2),(3,4),(6,5),(7,4),(7,5)],8)
[4,6,1,2,8,3,5,7]=>([(0,3),(0,7),(1,4),(2,7),(3,5),(3,6),(4,2),(4,6),(7,5)],8)
[4,1,6,8,2,3,5,7]=>([(0,6),(0,7),(1,4),(1,7),(3,6),(4,3),(6,5),(7,2),(7,5)],8)
[4,6,1,8,2,3,5,7]=>([(0,3),(0,6),(1,4),(1,7),(2,6),(3,5),(3,7),(4,2),(6,5)],8)
[4,6,8,1,2,3,5,7]=>([(0,5),(0,7),(1,4),(3,7),(4,3),(5,2),(5,6),(7,6)],8)
[4,1,6,2,3,8,5,7]=>([(0,2),(0,7),(1,6),(1,7),(2,3),(3,5),(3,6),(6,4),(7,4),(7,5)],8)
[4,6,1,2,3,8,5,7]=>([(0,3),(0,7),(1,4),(2,5),(2,7),(3,5),(3,6),(4,2),(7,6)],8)
[4,1,2,6,3,8,5,7]=>([(0,2),(1,6),(1,7),(2,3),(2,7),(3,5),(3,6),(6,4),(7,4),(7,5)],8)
[1,4,2,6,3,8,5,7]=>([(0,1),(0,3),(1,2),(1,7),(2,5),(2,6),(3,6),(3,7),(6,4),(7,4),(7,5)],8)
[1,4,6,2,3,8,5,7]=>([(0,3),(0,4),(1,5),(1,7),(2,5),(2,6),(3,2),(4,1),(4,6),(6,7)],8)
[1,4,2,6,8,3,5,7]=>([(0,3),(0,4),(2,5),(3,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,6)],8)
[1,4,6,2,8,3,5,7]=>([(0,3),(0,4),(1,6),(2,5),(2,7),(3,1),(3,5),(4,2),(4,6),(6,7)],8)
[1,4,6,8,2,3,5,7]=>([(0,4),(0,5),(2,6),(3,1),(3,7),(4,2),(5,3),(5,6),(6,7)],8)
[4,1,6,2,3,5,8,7]=>([(0,2),(0,7),(1,6),(1,7),(2,3),(3,6),(6,4),(6,5),(7,4),(7,5)],8)
[4,6,1,2,3,5,8,7]=>([(0,3),(0,7),(1,4),(2,7),(3,5),(3,6),(4,2),(7,5),(7,6)],8)
[4,1,2,6,3,5,8,7]=>([(0,3),(1,6),(1,7),(2,7),(3,2),(3,6),(6,4),(6,5),(7,4),(7,5)],8)
[1,4,2,6,3,5,8,7]=>([(0,2),(0,3),(1,7),(2,1),(2,6),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[1,4,6,2,3,5,8,7]=>([(0,3),(0,4),(1,5),(2,6),(2,7),(3,1),(4,2),(4,5),(5,6),(5,7)],8)
[4,1,2,3,6,5,8,7]=>([(0,2),(1,6),(1,7),(2,3),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[1,4,2,3,6,5,8,7]=>([(0,1),(0,3),(1,2),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[1,2,4,6,3,5,8,7]=>([(0,4),(1,5),(2,6),(2,7),(3,2),(3,5),(4,1),(4,3),(5,6),(5,7)],8)
[4,1,2,3,6,8,5,7]=>([(0,6),(0,7),(1,4),(3,6),(3,7),(4,3),(6,5),(7,2),(7,5)],8)
[1,2,4,3,6,8,5,7]=>([(0,4),(2,5),(2,7),(3,5),(3,7),(4,2),(4,3),(5,6),(7,1),(7,6)],8)
[1,2,4,6,3,8,5,7]=>([(0,4),(1,5),(1,7),(2,5),(2,6),(3,1),(3,6),(4,2),(4,3),(6,7)],8)
[1,2,4,6,8,3,5,7]=>([(0,5),(2,6),(3,1),(3,7),(4,3),(4,6),(5,2),(5,4),(6,7)],8)
[4,1,6,2,3,5,7,8]=>([(0,5),(0,6),(1,4),(1,6),(3,5),(4,3),(5,7),(6,7),(7,2)],8)
[4,6,1,2,3,5,7,8]=>([(0,5),(1,4),(1,6),(3,6),(4,7),(5,3),(6,7),(7,2)],8)
[1,4,2,6,3,5,7,8]=>([(0,3),(0,4),(2,5),(3,5),(3,6),(4,2),(4,6),(5,7),(6,7),(7,1)],8)
[1,4,6,2,3,5,7,8]=>([(0,4),(0,5),(1,7),(3,6),(4,3),(5,1),(5,6),(6,7),(7,2)],8)
[4,1,2,3,6,5,7,8]=>([(0,5),(0,6),(1,4),(3,5),(3,6),(4,3),(5,7),(6,7),(7,2)],8)
[1,4,2,3,6,5,7,8]=>([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(5,7),(6,7),(7,1)],8)
[1,2,4,6,3,5,7,8]=>([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
[4,1,2,3,6,7,5,8]=>([(0,6),(0,7),(1,4),(2,6),(2,7),(3,5),(4,2),(6,5),(7,3)],8)
[1,4,2,3,6,7,5,8]=>([(0,3),(0,4),(1,6),(2,5),(2,7),(3,5),(3,7),(4,2),(5,6),(7,1)],8)
[4,1,2,3,6,7,8,5]=>([(0,6),(0,7),(1,4),(3,6),(3,7),(4,3),(5,2),(7,5)],8)
[1,4,2,3,6,7,8,5]=>([(0,3),(0,5),(2,6),(2,7),(3,6),(3,7),(4,1),(5,2),(7,4)],8)
[1,2,4,6,7,8,3,5]=>([(0,6),(2,7),(3,4),(4,1),(5,3),(5,7),(6,2),(6,5)],8)
[4,1,7,2,8,3,5,6]=>([(0,6),(0,7),(1,4),(1,6),(3,7),(4,3),(4,5),(6,5),(7,2)],8)
[4,7,1,2,8,3,5,6]=>([(0,4),(0,7),(1,5),(3,7),(4,6),(5,3),(5,6),(7,2)],8)
[4,1,7,8,2,3,5,6]=>([(0,6),(0,7),(1,5),(1,7),(2,6),(5,2),(6,3),(7,4)],8)
[4,7,1,8,2,3,5,6]=>([(0,4),(0,7),(1,5),(1,6),(3,7),(4,6),(5,3),(7,2)],8)
[4,7,8,1,2,3,5,6]=>([(0,5),(1,6),(1,7),(3,7),(5,3),(6,2),(7,4)],8)
[4,1,7,2,3,8,5,6]=>([(0,6),(0,7),(1,4),(1,6),(3,5),(3,7),(4,3),(6,5),(7,2)],8)
[4,7,1,2,3,8,5,6]=>([(0,4),(0,7),(1,5),(3,6),(3,7),(4,6),(5,3),(7,2)],8)
[1,4,2,7,3,8,5,6]=>([(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,2),(4,5),(5,6),(7,1)],8)
[1,4,7,2,3,8,5,6]=>([(0,4),(0,5),(2,6),(3,6),(3,7),(4,3),(5,2),(5,7),(7,1)],8)
[4,1,2,7,8,3,5,6]=>([(0,6),(0,7),(1,5),(2,6),(5,2),(5,7),(6,3),(7,4)],8)
[1,4,2,7,8,3,5,6]=>([(0,4),(0,5),(1,6),(4,6),(4,7),(5,1),(5,7),(6,2),(7,3)],8)
[1,4,7,2,8,3,5,6]=>([(0,4),(0,5),(1,7),(3,6),(4,3),(4,7),(5,1),(5,6),(7,2)],8)
[1,4,7,8,2,3,5,6]=>([(0,5),(0,6),(2,7),(4,1),(5,2),(6,4),(6,7),(7,3)],8)
[4,1,7,2,3,5,8,6]=>([(0,6),(0,7),(1,4),(1,6),(3,7),(4,3),(6,5),(7,2),(7,5)],8)
[4,7,1,2,3,5,8,6]=>([(0,4),(0,7),(1,5),(3,7),(4,6),(5,3),(7,2),(7,6)],8)
[4,1,2,7,3,5,8,6]=>([(0,6),(0,7),(1,4),(3,7),(4,3),(4,6),(6,5),(7,2),(7,5)],8)
[1,4,2,7,3,5,8,6]=>([(0,3),(0,4),(2,7),(3,5),(3,7),(4,2),(4,5),(5,6),(7,1),(7,6)],8)
[1,4,7,2,3,5,8,6]=>([(0,4),(0,5),(2,7),(3,6),(4,2),(5,3),(5,7),(7,1),(7,6)],8)
[4,1,2,3,7,5,8,6]=>([(0,6),(0,7),(1,4),(3,6),(3,7),(4,3),(6,5),(7,2),(7,5)],8)
[1,4,2,3,7,5,8,6]=>([(0,3),(0,4),(2,5),(2,7),(3,5),(3,7),(4,2),(5,6),(7,1),(7,6)],8)
[1,2,4,3,7,5,8,6]=>([(0,4),(2,5),(2,7),(3,5),(3,7),(4,2),(4,3),(5,6),(7,1),(7,6)],8)
[1,2,4,7,3,5,8,6]=>([(0,5),(2,7),(3,6),(4,3),(4,7),(5,2),(5,4),(7,1),(7,6)],8)
[4,1,2,3,7,8,5,6]=>([(0,6),(0,7),(1,5),(2,6),(2,7),(5,2),(6,4),(7,3)],8)
[1,4,2,3,7,8,5,6]=>([(0,4),(0,5),(1,6),(1,7),(4,6),(4,7),(5,1),(6,3),(7,2)],8)
[1,2,4,3,7,8,5,6]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(5,1),(5,2),(6,4),(7,3)],8)
[1,2,4,7,3,8,5,6]=>([(0,5),(2,6),(2,7),(3,6),(4,3),(4,7),(5,2),(5,4),(7,1)],8)
[1,2,4,7,8,3,5,6]=>([(0,6),(2,7),(4,1),(5,4),(5,7),(6,2),(6,5),(7,3)],8)
[4,1,7,2,3,5,6,8]=>([(0,6),(0,7),(1,4),(1,6),(2,7),(3,5),(4,2),(6,5),(7,3)],8)
[4,7,1,2,3,5,6,8]=>([(0,4),(0,7),(1,5),(2,7),(3,6),(4,6),(5,2),(7,3)],8)
[4,1,2,7,3,5,6,8]=>([(0,6),(0,7),(1,4),(2,7),(3,5),(4,2),(4,6),(6,5),(7,3)],8)
[1,4,2,7,3,5,6,8]=>([(0,3),(0,4),(1,6),(2,7),(3,5),(3,7),(4,2),(4,5),(5,6),(7,1)],8)
[1,4,7,2,3,5,6,8]=>([(0,4),(0,5),(1,7),(2,6),(3,6),(4,1),(5,3),(5,7),(7,2)],8)
[4,1,2,3,7,5,6,8]=>([(0,6),(0,7),(1,4),(2,6),(2,7),(3,5),(4,2),(6,5),(7,3)],8)
[1,4,2,3,7,5,6,8]=>([(0,3),(0,4),(1,6),(2,5),(2,7),(3,5),(3,7),(4,2),(5,6),(7,1)],8)
[1,2,4,3,7,5,6,8]=>([(0,4),(1,6),(2,5),(2,7),(3,5),(3,7),(4,2),(4,3),(5,6),(7,1)],8)
[1,2,4,7,3,5,6,8]=>([(0,5),(1,7),(2,6),(3,6),(4,3),(4,7),(5,1),(5,4),(7,2)],8)
[4,1,2,3,5,7,6,8]=>([(0,7),(1,5),(2,7),(3,6),(4,6),(5,2),(7,3),(7,4)],8)
[1,4,2,3,5,7,6,8]=>([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(7,2),(7,3)],8)
[1,2,4,5,7,3,6,8]=>([(0,5),(1,7),(2,6),(3,4),(4,1),(4,6),(5,2),(5,3),(6,7)],8)
[4,1,2,3,5,7,8,6]=>([(0,7),(1,5),(3,7),(5,3),(6,2),(7,4),(7,6)],8)
[1,4,2,3,5,7,8,6]=>([(0,4),(0,6),(2,7),(4,7),(5,1),(6,2),(7,3),(7,5)],8)
[1,2,4,5,7,3,8,6]=>([(0,5),(1,6),(2,6),(2,7),(3,4),(4,1),(4,7),(5,2),(5,3)],8)
[1,2,4,5,7,8,3,6]=>([(0,6),(2,7),(3,5),(4,1),(5,4),(5,7),(6,2),(6,3)],8)
[4,1,8,2,3,5,6,7]=>([(0,6),(0,7),(1,4),(1,7),(3,6),(4,3),(5,2),(6,5)],8)
[4,8,1,2,3,5,6,7]=>([(0,6),(1,4),(1,7),(3,7),(5,2),(6,3),(7,5)],8)
[4,1,2,8,3,5,6,7]=>([(0,6),(0,7),(1,4),(3,6),(4,3),(4,7),(5,2),(6,5)],8)
[1,4,2,8,3,5,6,7]=>([(0,3),(0,5),(2,7),(3,6),(3,7),(4,1),(5,2),(5,6),(7,4)],8)
[1,4,8,2,3,5,6,7]=>([(0,5),(0,6),(3,7),(4,2),(5,3),(6,1),(6,7),(7,4)],8)
[4,1,2,3,8,5,6,7]=>([(0,6),(0,7),(1,4),(3,6),(3,7),(4,3),(5,2),(7,5)],8)
[1,4,2,3,8,5,6,7]=>([(0,3),(0,5),(2,6),(2,7),(3,6),(3,7),(4,1),(5,2),(7,4)],8)
[1,2,4,3,8,5,6,7]=>([(0,5),(2,6),(2,7),(3,6),(3,7),(4,1),(5,2),(5,3),(7,4)],8)
[1,2,4,8,3,5,6,7]=>([(0,6),(3,7),(4,2),(4,7),(5,1),(6,3),(6,4),(7,5)],8)
[4,1,2,3,5,8,6,7]=>([(0,7),(1,5),(3,7),(5,3),(6,2),(7,4),(7,6)],8)
[1,4,2,3,5,8,6,7]=>([(0,4),(0,6),(2,7),(4,7),(5,1),(6,2),(7,3),(7,5)],8)
[1,2,4,3,5,8,6,7]=>([(0,6),(2,7),(3,7),(5,1),(6,2),(6,3),(7,4),(7,5)],8)
[1,2,4,5,3,8,6,7]=>([(0,5),(2,6),(2,7),(3,6),(3,7),(4,3),(5,2),(5,4),(7,1)],8)
[1,2,4,5,8,3,6,7]=>([(0,6),(2,7),(4,5),(5,1),(5,7),(6,2),(6,4),(7,3)],8)
[4,1,2,3,5,6,8,7]=>([(0,7),(1,5),(4,7),(5,4),(6,2),(6,3),(7,6)],8)
[1,4,2,3,5,6,8,7]=>([(0,4),(0,5),(3,7),(4,7),(5,3),(6,1),(6,2),(7,6)],8)
[1,2,4,5,6,8,3,7]=>([(0,6),(2,7),(3,5),(4,3),(5,1),(5,7),(6,2),(6,4)],8)
[1,4,2,3,5,6,7,8]=>([(0,3),(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(7,5)],8)
[5,1,6,2,7,3,8,4]=>([(0,7),(1,4),(1,7),(3,2),(3,6),(4,3),(4,5),(5,6),(7,5)],8)
[5,6,1,2,7,3,8,4]=>([(0,5),(1,3),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7)],8)
[5,1,6,7,2,3,8,4]=>([(0,7),(1,4),(1,7),(3,6),(4,5),(5,2),(5,6),(7,3)],8)
[5,6,1,7,2,3,8,4]=>([(0,5),(0,7),(1,3),(3,7),(4,2),(4,6),(5,4),(7,6)],8)
[5,6,7,1,2,3,8,4]=>([(0,5),(1,6),(3,7),(4,2),(4,7),(5,3),(6,4)],8)
[5,6,1,2,7,8,3,4]=>([(0,6),(1,4),(4,7),(5,2),(6,5),(6,7),(7,3)],8)
[5,1,6,7,2,8,3,4]=>([(0,7),(1,5),(1,7),(3,6),(4,2),(5,4),(5,6),(7,3)],8)
[5,6,7,1,2,8,3,4]=>([(0,5),(1,6),(3,7),(4,2),(5,3),(6,4),(6,7)],8)
[5,1,6,7,8,2,3,4]=>([(0,7),(1,5),(1,7),(4,2),(5,4),(6,3),(7,6)],8)
[5,6,1,7,8,2,3,4]=>([(0,4),(1,6),(1,7),(4,7),(5,2),(6,5),(7,3)],8)
[5,6,7,1,8,2,3,4]=>([(0,5),(1,6),(1,7),(3,7),(4,2),(5,3),(6,4)],8)
[5,1,6,2,7,3,4,8]=>([(0,7),(1,4),(1,7),(2,6),(3,2),(4,3),(4,5),(5,6),(7,5)],8)
[5,6,1,7,2,3,4,8]=>([(0,5),(0,7),(1,3),(2,6),(3,7),(4,2),(5,4),(7,6)],8)
[5,1,6,2,3,7,4,8]=>([(0,7),(1,3),(1,7),(2,6),(3,4),(4,2),(4,5),(5,6),(7,5)],8)
[5,1,2,6,3,7,4,8]=>([(0,7),(1,3),(2,6),(3,4),(3,7),(4,2),(4,5),(5,6),(7,5)],8)
[1,5,2,6,3,7,4,8]=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[5,1,2,6,7,3,4,8]=>([(0,7),(1,5),(2,6),(3,6),(4,3),(5,4),(5,7),(7,2)],8)
[1,5,2,6,7,3,4,8]=>([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(5,4),(5,7),(7,1)],8)
[1,5,6,7,2,3,4,8]=>([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8)
[5,1,6,2,3,7,8,4]=>([(0,6),(1,5),(1,6),(4,3),(4,7),(5,4),(6,7),(7,2)],8)
[5,6,1,2,3,7,8,4]=>([(0,6),(1,4),(4,7),(5,2),(5,7),(6,5),(7,3)],8)
[5,1,2,6,3,7,8,4]=>([(0,6),(1,5),(4,3),(4,7),(5,4),(5,6),(6,7),(7,2)],8)
[1,5,2,6,3,7,8,4]=>([(0,3),(0,5),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,1)],8)
[1,5,6,2,3,7,8,4]=>([(0,5),(0,6),(2,7),(4,1),(4,7),(5,2),(6,4),(7,3)],8)
[5,1,2,6,7,3,8,4]=>([(0,7),(1,4),(3,6),(4,5),(4,7),(5,2),(5,6),(7,3)],8)
[1,5,6,7,2,3,8,4]=>([(0,5),(0,6),(2,7),(3,2),(4,1),(4,7),(5,3),(6,4)],8)
[5,1,2,6,7,8,3,4]=>([(0,7),(1,5),(4,2),(5,4),(5,7),(6,3),(7,6)],8)
[1,5,2,6,7,8,3,4]=>([(0,3),(0,6),(3,7),(4,2),(5,1),(6,4),(6,7),(7,5)],8)
[1,5,6,2,7,8,3,4]=>([(0,5),(0,6),(2,7),(4,1),(5,2),(6,4),(6,7),(7,3)],8)
[1,5,6,7,2,8,3,4]=>([(0,5),(0,6),(2,7),(3,2),(4,1),(5,3),(6,4),(6,7)],8)
[1,5,6,7,8,2,3,4]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)
[5,1,6,2,8,3,4,7]=>([(0,7),(1,4),(1,7),(2,6),(3,2),(4,3),(4,5),(7,5),(7,6)],8)
[5,6,1,2,8,3,4,7]=>([(0,5),(1,3),(2,6),(3,6),(3,7),(4,2),(5,4),(5,7)],8)
[5,6,1,8,2,3,4,7]=>([(0,5),(0,7),(1,3),(2,6),(3,6),(3,7),(4,2),(5,4)],8)
[5,6,8,1,2,3,4,7]=>([(0,5),(1,6),(3,7),(4,3),(5,4),(6,2),(6,7)],8)
[5,1,6,2,3,8,4,7]=>([(0,7),(1,3),(1,7),(2,6),(3,4),(4,2),(4,5),(7,5),(7,6)],8)
[5,6,1,2,3,8,4,7]=>([(0,5),(1,3),(2,6),(3,6),(3,7),(4,2),(4,7),(5,4)],8)
[5,1,2,6,3,8,4,7]=>([(0,7),(1,3),(2,6),(3,4),(3,7),(4,2),(4,5),(7,5),(7,6)],8)
[1,5,2,6,3,8,4,7]=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,6),(5,7)],8)
[1,5,6,2,3,8,4,7]=>([(0,4),(0,5),(1,7),(2,6),(2,7),(3,1),(3,6),(4,2),(5,3)],8)
[5,1,2,6,8,3,4,7]=>([(0,7),(1,5),(3,6),(4,3),(5,4),(5,7),(7,2),(7,6)],8)
[1,5,2,6,8,3,4,7]=>([(0,3),(0,5),(2,6),(3,7),(4,2),(5,4),(5,7),(7,1),(7,6)],8)
[1,5,6,2,8,3,4,7]=>([(0,4),(0,5),(1,7),(2,6),(2,7),(3,1),(4,2),(5,3),(5,6)],8)
[1,5,6,8,2,3,4,7]=>([(0,5),(0,6),(2,7),(3,2),(4,1),(4,7),(5,3),(6,4)],8)
[5,1,6,2,3,4,8,7]=>([(0,7),(1,4),(1,7),(2,5),(2,6),(3,2),(4,3),(7,5),(7,6)],8)
[5,6,1,2,3,4,8,7]=>([(0,5),(1,3),(2,6),(2,7),(3,6),(3,7),(4,2),(5,4)],8)
[5,1,2,6,3,4,8,7]=>([(0,7),(1,4),(2,5),(2,6),(3,2),(4,3),(4,7),(7,5),(7,6)],8)
[1,5,2,6,3,4,8,7]=>([(0,2),(0,4),(1,6),(1,7),(2,5),(3,1),(4,3),(4,5),(5,6),(5,7)],8)
[1,5,6,2,3,4,8,7]=>([(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,2),(4,3),(5,1)],8)
[1,5,2,3,6,4,8,7]=>([(0,2),(0,4),(1,6),(1,7),(2,5),(3,1),(3,5),(4,3),(5,6),(5,7)],8)
[1,2,5,3,6,4,8,7]=>([(0,4),(1,5),(2,6),(2,7),(3,2),(3,5),(4,1),(4,3),(5,6),(5,7)],8)
[1,2,5,6,3,4,8,7]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,2),(4,1),(5,3),(5,4)],8)
[5,1,2,3,6,8,4,7]=>([(0,7),(1,5),(3,6),(4,3),(4,7),(5,4),(7,2),(7,6)],8)
[1,5,2,3,6,8,4,7]=>([(0,3),(0,5),(2,6),(3,7),(4,2),(4,7),(5,4),(7,1),(7,6)],8)
[1,2,5,6,3,8,4,7]=>([(0,5),(1,6),(2,6),(2,7),(3,2),(4,1),(4,7),(5,3),(5,4)],8)
[1,2,5,6,8,3,4,7]=>([(0,6),(2,7),(3,5),(4,2),(5,1),(5,7),(6,3),(6,4)],8)
[5,1,6,2,3,4,7,8]=>([(0,6),(1,5),(1,6),(3,7),(4,3),(5,4),(6,7),(7,2)],8)
[5,1,2,6,3,4,7,8]=>([(0,6),(1,5),(3,7),(4,3),(5,4),(5,6),(6,7),(7,2)],8)
[1,5,2,6,3,4,7,8]=>([(0,3),(0,5),(2,7),(3,6),(4,2),(5,4),(5,6),(6,7),(7,1)],8)
[1,5,6,2,3,4,7,8]=>([(0,5),(0,6),(1,7),(2,7),(4,1),(5,2),(6,4),(7,3)],8)
[5,1,2,3,6,4,7,8]=>([(0,6),(1,4),(2,7),(4,5),(5,2),(5,6),(6,7),(7,3)],8)
[1,5,2,3,6,4,7,8]=>([(0,3),(0,5),(2,7),(3,6),(4,2),(4,6),(5,4),(6,7),(7,1)],8)
[1,2,5,3,6,4,7,8]=>([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
[1,2,5,6,3,4,7,8]=>([(0,6),(1,7),(2,7),(4,2),(5,1),(6,4),(6,5),(7,3)],8)
[5,1,2,3,6,7,4,8]=>([(0,7),(1,5),(2,6),(3,6),(4,3),(4,7),(5,4),(7,2)],8)
[1,5,2,3,6,7,4,8]=>([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(4,7),(5,4),(7,1)],8)
[1,2,5,3,6,7,4,8]=>([(0,5),(1,7),(2,6),(3,6),(4,3),(4,7),(5,1),(5,4),(7,2)],8)
[1,2,5,6,3,7,4,8]=>([(0,5),(1,7),(2,6),(3,2),(4,1),(4,6),(5,3),(5,4),(6,7)],8)
[5,1,2,3,6,7,8,4]=>([(0,7),(1,4),(4,5),(5,2),(5,7),(6,3),(7,6)],8)
[1,5,2,3,6,7,8,4]=>([(0,3),(0,6),(3,7),(4,2),(4,7),(5,1),(6,4),(7,5)],8)
[1,2,5,3,6,7,8,4]=>([(0,6),(3,7),(4,2),(4,7),(5,1),(6,3),(6,4),(7,5)],8)
[1,2,5,6,3,7,8,4]=>([(0,6),(2,7),(4,2),(5,1),(5,7),(6,4),(6,5),(7,3)],8)
[1,2,5,6,7,3,8,4]=>([(0,6),(2,7),(3,2),(4,3),(5,1),(5,7),(6,4),(6,5)],8)
[1,2,5,6,7,8,3,4]=>([(0,7),(3,5),(4,3),(5,2),(6,1),(7,4),(7,6)],8)
[5,1,7,2,8,3,4,6]=>([(0,6),(0,7),(1,4),(1,7),(2,6),(3,2),(4,3),(4,5),(7,5)],8)
[5,7,1,2,8,3,4,6]=>([(0,5),(1,3),(1,7),(2,7),(3,6),(4,2),(5,4),(5,6)],8)
[5,1,7,8,2,3,4,6]=>([(0,6),(0,7),(1,5),(1,7),(3,6),(4,3),(5,4),(7,2)],8)
[5,7,1,8,2,3,4,6]=>([(0,5),(0,7),(1,3),(1,6),(2,6),(3,7),(4,2),(5,4)],8)
[5,7,8,1,2,3,4,6]=>([(0,5),(1,6),(1,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,1,7,2,3,8,4,6]=>([(0,6),(0,7),(1,4),(1,7),(2,6),(3,2),(3,5),(4,3),(7,5)],8)
[5,7,1,2,3,8,4,6]=>([(0,5),(1,3),(1,7),(2,7),(3,6),(4,2),(4,6),(5,4)],8)
[5,1,2,7,3,8,4,6]=>([(0,6),(0,7),(1,4),(2,7),(3,2),(3,5),(4,3),(4,6),(6,5)],8)
[1,5,2,7,3,8,4,6]=>([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(3,7),(4,3),(4,6),(6,7)],8)
[1,5,7,2,3,8,4,6]=>([(0,4),(0,5),(1,7),(2,6),(3,2),(3,7),(4,3),(5,1),(5,6)],8)
[5,1,2,7,8,3,4,6]=>([(0,6),(0,7),(1,5),(3,6),(4,3),(5,4),(5,7),(7,2)],8)
[1,5,2,7,8,3,4,6]=>([(0,3),(0,5),(2,6),(3,6),(3,7),(4,2),(5,4),(5,7),(7,1)],8)
[1,5,7,2,8,3,4,6]=>([(0,4),(0,5),(1,6),(2,7),(3,2),(4,3),(4,6),(5,1),(5,7)],8)
[1,5,7,8,2,3,4,6]=>([(0,5),(0,6),(2,7),(3,2),(4,1),(5,3),(6,4),(6,7)],8)
[5,1,7,2,3,4,8,6]=>([(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(3,2),(4,3),(7,5)],8)
[5,7,1,2,3,4,8,6]=>([(0,5),(1,3),(1,7),(2,6),(2,7),(3,6),(4,2),(5,4)],8)
[5,1,2,7,3,4,8,6]=>([(0,6),(0,7),(1,4),(2,5),(2,7),(3,2),(4,3),(4,6),(6,5)],8)
[1,5,2,7,3,4,8,6]=>([(0,2),(0,4),(1,5),(1,7),(2,5),(2,6),(3,1),(4,3),(4,6),(6,7)],8)
[1,5,7,2,3,4,8,6]=>([(0,4),(0,5),(1,7),(2,6),(2,7),(3,2),(4,3),(5,1),(5,6)],8)
[5,1,2,3,7,4,8,6]=>([(0,6),(0,7),(1,3),(2,5),(2,7),(3,4),(4,2),(4,6),(6,5)],8)
[1,5,2,3,7,4,8,6]=>([(0,2),(0,4),(1,5),(1,7),(2,5),(2,6),(3,1),(3,6),(4,3),(6,7)],8)
[1,2,5,3,7,4,8,6]=>([(0,4),(1,5),(1,7),(2,5),(2,6),(3,1),(3,6),(4,2),(4,3),(6,7)],8)
[1,2,5,7,3,4,8,6]=>([(0,5),(1,6),(2,6),(2,7),(3,2),(4,1),(4,7),(5,3),(5,4)],8)
[5,1,2,3,7,8,4,6]=>([(0,6),(0,7),(1,5),(3,6),(4,3),(4,7),(5,4),(7,2)],8)
[1,5,2,3,7,8,4,6]=>([(0,3),(0,5),(2,6),(3,6),(3,7),(4,2),(4,7),(5,4),(7,1)],8)
[1,2,5,3,7,8,4,6]=>([(0,5),(2,6),(2,7),(3,6),(4,3),(4,7),(5,2),(5,4),(7,1)],8)
[1,2,5,7,3,8,4,6]=>([(0,5),(1,7),(2,6),(3,2),(3,7),(4,1),(4,6),(5,3),(5,4)],8)
[1,2,5,7,8,3,4,6]=>([(0,6),(2,7),(3,2),(4,1),(5,4),(5,7),(6,3),(6,5)],8)
[5,1,7,2,3,4,6,8]=>([(0,6),(0,7),(1,4),(1,7),(2,6),(3,2),(4,3),(6,5),(7,5)],8)
[5,7,1,2,3,4,6,8]=>([(0,5),(1,3),(1,7),(2,7),(3,6),(4,2),(5,4),(7,6)],8)
[5,1,2,7,3,4,6,8]=>([(0,6),(0,7),(1,4),(2,7),(3,2),(4,3),(4,6),(6,5),(7,5)],8)
[1,5,2,7,3,4,6,8]=>([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(4,3),(4,6),(5,7),(6,7)],8)
[1,5,2,3,7,4,6,8]=>([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,3),(5,7),(6,7)],8)
[1,2,5,3,7,4,6,8]=>([(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,2),(4,3),(5,7),(6,7)],8)
[1,2,5,7,3,4,6,8]=>([(0,5),(1,7),(2,6),(3,2),(4,1),(4,6),(5,3),(5,4),(6,7)],8)
[1,5,2,3,4,7,6,8]=>([(0,2),(0,4),(1,5),(1,6),(2,5),(2,6),(3,1),(4,3),(5,7),(6,7)],8)
[1,2,5,3,4,7,6,8]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1),(4,3),(5,7),(6,7)],8)
[1,2,3,5,7,4,6,8]=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)
[5,1,2,3,4,7,8,6]=>([(0,6),(0,7),(1,5),(3,6),(3,7),(4,3),(5,4),(7,2)],8)
[1,5,2,3,4,7,8,6]=>([(0,3),(0,5),(2,6),(2,7),(3,6),(3,7),(4,2),(5,4),(7,1)],8)
[1,2,5,3,4,7,8,6]=>([(0,5),(2,6),(2,7),(3,6),(3,7),(4,3),(5,2),(5,4),(7,1)],8)
[1,2,3,5,7,4,8,6]=>([(0,4),(1,6),(2,6),(2,7),(3,1),(3,7),(4,5),(5,2),(5,3)],8)
[1,2,3,5,7,8,4,6]=>([(0,5),(2,7),(3,1),(4,3),(4,7),(5,6),(6,2),(6,4)],8)
[5,1,8,2,3,4,6,7]=>([(0,6),(0,7),(1,5),(1,6),(3,7),(4,3),(5,4),(7,2)],8)
[5,8,1,2,3,4,6,7]=>([(0,6),(1,4),(1,7),(2,7),(5,2),(6,5),(7,3)],8)
[5,1,2,8,3,4,6,7]=>([(0,6),(0,7),(1,5),(3,7),(4,3),(5,4),(5,6),(7,2)],8)
[1,5,2,8,3,4,6,7]=>([(0,3),(0,5),(2,7),(3,6),(3,7),(4,2),(5,4),(5,6),(7,1)],8)
[1,5,8,2,3,4,6,7]=>([(0,5),(0,6),(2,7),(4,2),(5,4),(6,1),(6,7),(7,3)],8)
[5,1,2,3,8,4,6,7]=>([(0,6),(0,7),(1,4),(2,7),(4,5),(5,2),(5,6),(7,3)],8)
[1,5,2,3,8,4,6,7]=>([(0,3),(0,5),(2,7),(3,6),(3,7),(4,2),(4,6),(5,4),(7,1)],8)
[1,2,5,3,8,4,6,7]=>([(0,5),(2,7),(3,6),(3,7),(4,2),(4,6),(5,3),(5,4),(7,1)],8)
[1,2,5,8,3,4,6,7]=>([(0,6),(2,7),(4,2),(5,1),(5,7),(6,4),(6,5),(7,3)],8)
[5,1,2,3,4,8,6,7]=>([(0,6),(0,7),(1,5),(3,6),(3,7),(4,3),(5,4),(7,2)],8)
[1,5,2,3,4,8,6,7]=>([(0,3),(0,5),(2,6),(2,7),(3,6),(3,7),(4,2),(5,4),(7,1)],8)
[1,2,5,3,4,8,6,7]=>([(0,5),(2,6),(2,7),(3,6),(3,7),(4,3),(5,2),(5,4),(7,1)],8)
[1,2,3,5,4,8,6,7]=>([(0,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,2),(5,3),(7,1)],8)
[1,2,3,5,8,4,6,7]=>([(0,5),(2,7),(4,1),(4,7),(5,6),(6,2),(6,4),(7,3)],8)
[5,1,2,3,4,6,8,7]=>([(0,7),(1,6),(2,7),(5,2),(6,5),(7,3),(7,4)],8)
[1,5,2,3,4,6,8,7]=>([(0,4),(0,6),(1,7),(4,7),(5,1),(6,5),(7,2),(7,3)],8)
[1,2,5,3,4,6,8,7]=>([(0,6),(1,7),(2,7),(5,2),(6,1),(6,5),(7,3),(7,4)],8)
[1,2,3,5,6,8,4,7]=>([(0,5),(2,7),(3,4),(4,1),(4,7),(5,6),(6,2),(6,3)],8)
[1,5,2,3,4,6,7,8]=>([(0,3),(0,6),(2,7),(3,7),(4,2),(5,1),(6,4),(7,5)],8)
[1,2,5,3,4,6,7,8]=>([(0,6),(2,7),(3,7),(4,3),(5,1),(6,2),(6,4),(7,5)],8)
[6,1,7,2,8,3,4,5]=>([(0,7),(1,5),(1,7),(3,4),(4,2),(5,3),(5,6),(7,6)],8)
[6,7,1,2,8,3,4,5]=>([(0,6),(1,3),(3,7),(4,5),(5,2),(6,4),(6,7)],8)
[6,1,7,8,2,3,4,5]=>([(0,7),(1,6),(1,7),(4,5),(5,2),(6,4),(7,3)],8)
[6,7,1,8,2,3,4,5]=>([(0,3),(1,6),(1,7),(3,7),(4,5),(5,2),(6,4)],8)
[6,1,7,2,3,8,4,5]=>([(0,7),(1,4),(1,7),(3,2),(4,5),(5,3),(5,6),(7,6)],8)
[6,7,1,2,3,8,4,5]=>([(0,6),(1,3),(3,7),(4,2),(5,4),(5,7),(6,5)],8)
[6,1,2,7,3,8,4,5]=>([(0,7),(1,4),(3,2),(4,5),(4,7),(5,3),(5,6),(7,6)],8)
[1,6,2,7,3,8,4,5]=>([(0,2),(0,5),(2,6),(3,4),(3,7),(4,1),(5,3),(5,6),(6,7)],8)
[1,6,7,2,3,8,4,5]=>([(0,5),(0,6),(2,7),(3,1),(4,3),(4,7),(5,4),(6,2)],8)
[6,1,2,7,8,3,4,5]=>([(0,7),(1,6),(4,5),(5,2),(6,4),(6,7),(7,3)],8)
[1,6,2,7,8,3,4,5]=>([(0,3),(0,6),(3,7),(4,5),(5,1),(6,4),(6,7),(7,2)],8)
[1,6,7,2,8,3,4,5]=>([(0,5),(0,6),(2,7),(3,4),(4,1),(5,2),(6,3),(6,7)],8)
[1,6,7,8,2,3,4,5]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)
[6,1,7,2,3,4,8,5]=>([(0,7),(1,4),(1,7),(3,5),(4,3),(5,2),(5,6),(7,6)],8)
[6,7,1,2,3,4,8,5]=>([(0,6),(1,3),(3,7),(4,5),(5,2),(5,7),(6,4)],8)
[6,1,2,7,3,4,8,5]=>([(0,7),(1,4),(3,5),(4,3),(4,7),(5,2),(5,6),(7,6)],8)
[1,6,2,7,3,4,8,5]=>([(0,2),(0,5),(2,6),(3,4),(4,1),(4,7),(5,3),(5,6),(6,7)],8)
[1,6,7,2,3,4,8,5]=>([(0,5),(0,6),(2,7),(3,4),(4,1),(4,7),(5,3),(6,2)],8)
[6,1,2,3,7,4,8,5]=>([(0,7),(1,4),(3,5),(3,7),(4,3),(5,2),(5,6),(7,6)],8)
[1,6,2,3,7,4,8,5]=>([(0,2),(0,5),(2,6),(3,1),(3,7),(4,3),(4,6),(5,4),(6,7)],8)
[1,2,6,3,7,4,8,5]=>([(0,5),(2,6),(3,1),(3,7),(4,3),(4,6),(5,2),(5,4),(6,7)],8)
[1,2,6,7,3,4,8,5]=>([(0,6),(2,7),(3,5),(4,2),(5,1),(5,7),(6,3),(6,4)],8)
[6,1,2,3,7,8,4,5]=>([(0,7),(1,5),(4,2),(5,6),(6,4),(6,7),(7,3)],8)
[1,6,2,3,7,8,4,5]=>([(0,3),(0,6),(3,7),(4,1),(5,4),(5,7),(6,5),(7,2)],8)
[1,2,6,3,7,8,4,5]=>([(0,6),(2,7),(4,1),(5,4),(5,7),(6,2),(6,5),(7,3)],8)
[1,2,6,7,3,8,4,5]=>([(0,6),(2,7),(3,2),(4,1),(5,4),(5,7),(6,3),(6,5)],8)
[1,2,6,7,8,3,4,5]=>([(0,7),(3,5),(4,6),(5,2),(6,1),(7,3),(7,4)],8)
[6,1,7,2,3,4,5,8]=>([(0,7),(1,5),(1,7),(2,6),(3,4),(4,2),(5,3),(7,6)],8)
[6,1,2,7,3,4,5,8]=>([(0,7),(1,5),(2,6),(3,4),(4,2),(5,3),(5,7),(7,6)],8)
[1,6,2,7,3,4,5,8]=>([(0,2),(0,5),(1,7),(2,6),(3,4),(4,1),(5,3),(5,6),(6,7)],8)
[1,6,7,2,3,4,5,8]=>([(0,5),(0,6),(1,7),(2,7),(3,4),(4,2),(5,3),(6,1)],8)
[6,1,2,3,7,4,5,8]=>([(0,7),(1,5),(2,6),(3,4),(3,7),(4,2),(5,3),(7,6)],8)
[1,6,2,3,7,4,5,8]=>([(0,2),(0,5),(1,7),(2,6),(3,1),(4,3),(4,6),(5,4),(6,7)],8)
[1,2,6,3,7,4,5,8]=>([(0,5),(1,7),(2,6),(3,1),(4,3),(4,6),(5,2),(5,4),(6,7)],8)
[1,2,6,7,3,4,5,8]=>([(0,6),(1,7),(2,7),(3,4),(4,1),(5,2),(6,3),(6,5)],8)
[6,1,2,3,4,7,5,8]=>([(0,7),(1,5),(2,6),(3,4),(4,2),(4,7),(5,3),(7,6)],8)
[1,6,2,3,4,7,5,8]=>([(0,2),(0,5),(1,7),(2,6),(3,4),(4,1),(4,6),(5,3),(6,7)],8)
[1,2,6,3,4,7,5,8]=>([(0,5),(1,7),(2,6),(3,4),(4,1),(4,6),(5,2),(5,3),(6,7)],8)
[1,2,3,6,4,7,5,8]=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)
[1,2,3,6,7,4,5,8]=>([(0,5),(1,7),(2,7),(3,2),(4,1),(5,6),(6,3),(6,4)],8)
[6,1,2,3,4,7,8,5]=>([(0,7),(1,5),(4,6),(5,4),(6,2),(6,7),(7,3)],8)
[1,6,2,3,4,7,8,5]=>([(0,3),(0,6),(3,7),(4,5),(5,1),(5,7),(6,4),(7,2)],8)
[1,2,6,3,4,7,8,5]=>([(0,6),(2,7),(4,5),(5,1),(5,7),(6,2),(6,4),(7,3)],8)
[1,2,3,6,4,7,8,5]=>([(0,5),(2,7),(4,1),(4,7),(5,6),(6,2),(6,4),(7,3)],8)
[1,2,3,6,7,4,8,5]=>([(0,5),(2,7),(3,2),(4,1),(4,7),(5,6),(6,3),(6,4)],8)
[1,2,3,6,7,8,4,5]=>([(0,6),(3,4),(4,1),(5,2),(6,7),(7,3),(7,5)],8)
[6,1,8,2,3,4,5,7]=>([(0,6),(0,7),(1,5),(1,7),(2,6),(3,4),(4,2),(5,3)],8)
[6,8,1,2,3,4,5,7]=>([(0,6),(1,3),(1,7),(2,7),(4,5),(5,2),(6,4)],8)
[6,1,2,8,3,4,5,7]=>([(0,6),(0,7),(1,5),(2,7),(3,4),(4,2),(5,3),(5,6)],8)
[1,6,2,8,3,4,5,7]=>([(0,2),(0,5),(1,7),(2,6),(2,7),(3,4),(4,1),(5,3),(5,6)],8)
[1,6,8,2,3,4,5,7]=>([(0,5),(0,6),(2,7),(3,2),(4,3),(5,4),(6,1),(6,7)],8)
[6,1,2,3,8,4,5,7]=>([(0,6),(0,7),(1,4),(2,7),(3,2),(4,5),(5,3),(5,6)],8)
[1,6,2,3,8,4,5,7]=>([(0,2),(0,5),(1,7),(2,6),(2,7),(3,1),(4,3),(4,6),(5,4)],8)
[1,2,6,3,8,4,5,7]=>([(0,5),(1,6),(2,6),(2,7),(3,1),(4,3),(4,7),(5,2),(5,4)],8)
[1,2,6,8,3,4,5,7]=>([(0,6),(2,7),(3,2),(4,3),(5,1),(5,7),(6,4),(6,5)],8)
[6,1,2,3,4,8,5,7]=>([(0,6),(0,7),(1,4),(2,7),(3,5),(4,3),(5,2),(5,6)],8)
[1,6,2,3,4,8,5,7]=>([(0,2),(0,5),(1,7),(2,6),(2,7),(3,4),(4,1),(4,6),(5,3)],8)
[1,2,6,3,4,8,5,7]=>([(0,5),(1,6),(2,6),(2,7),(3,4),(4,1),(4,7),(5,2),(5,3)],8)
[1,2,3,6,4,8,5,7]=>([(0,4),(1,6),(2,6),(2,7),(3,1),(3,7),(4,5),(5,2),(5,3)],8)
[1,2,3,6,8,4,5,7]=>([(0,5),(2,7),(3,2),(4,1),(4,7),(5,6),(6,3),(6,4)],8)
[6,1,2,3,4,5,8,7]=>([(0,6),(0,7),(1,5),(2,6),(2,7),(3,4),(4,2),(5,3)],8)
[1,6,2,3,4,5,8,7]=>([(0,2),(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(4,1),(5,3)],8)
[1,2,6,3,4,5,8,7]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(4,2),(5,1),(5,3)],8)
[1,2,3,6,4,5,8,7]=>([(0,4),(1,6),(1,7),(2,6),(2,7),(3,2),(4,5),(5,1),(5,3)],8)
[1,2,3,4,6,8,5,7]=>([(0,5),(2,7),(3,6),(4,1),(4,7),(5,3),(6,2),(6,4)],8)
[1,6,2,3,4,5,7,8]=>([(0,3),(0,6),(1,7),(3,7),(4,5),(5,1),(6,4),(7,2)],8)
[1,2,6,3,4,5,7,8]=>([(0,6),(1,7),(2,7),(4,5),(5,2),(6,1),(6,4),(7,3)],8)
[1,2,3,6,4,5,7,8]=>([(0,5),(1,7),(2,7),(4,2),(5,6),(6,1),(6,4),(7,3)],8)
[7,1,8,2,3,4,5,6]=>([(0,7),(1,6),(1,7),(3,5),(4,3),(5,2),(6,4)],8)
[7,1,2,8,3,4,5,6]=>([(0,7),(1,6),(3,5),(4,3),(5,2),(6,4),(6,7)],8)
[1,7,2,8,3,4,5,6]=>([(0,2),(0,6),(2,7),(3,5),(4,3),(5,1),(6,4),(6,7)],8)
[1,7,8,2,3,4,5,6]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)
[7,1,2,3,8,4,5,6]=>([(0,7),(1,5),(3,4),(4,2),(5,6),(6,3),(6,7)],8)
[1,7,2,3,8,4,5,6]=>([(0,2),(0,6),(2,7),(3,4),(4,1),(5,3),(5,7),(6,5)],8)
[1,2,7,3,8,4,5,6]=>([(0,6),(2,7),(3,4),(4,1),(5,3),(5,7),(6,2),(6,5)],8)
[1,2,7,8,3,4,5,6]=>([(0,7),(3,5),(4,3),(5,2),(6,1),(7,4),(7,6)],8)
[7,1,2,3,4,8,5,6]=>([(0,7),(1,5),(3,6),(4,2),(5,3),(6,4),(6,7)],8)
[1,7,2,3,4,8,5,6]=>([(0,2),(0,6),(2,7),(3,5),(4,1),(5,4),(5,7),(6,3)],8)
[1,2,7,3,4,8,5,6]=>([(0,6),(2,7),(3,5),(4,1),(5,4),(5,7),(6,2),(6,3)],8)
[1,2,3,7,4,8,5,6]=>([(0,5),(2,7),(3,1),(4,3),(4,7),(5,6),(6,2),(6,4)],8)
[1,2,3,7,8,4,5,6]=>([(0,6),(3,4),(4,1),(5,2),(6,7),(7,3),(7,5)],8)
[7,1,2,3,4,5,8,6]=>([(0,7),(1,5),(3,4),(4,6),(5,3),(6,2),(6,7)],8)
[1,7,2,3,4,5,8,6]=>([(0,2),(0,6),(2,7),(3,5),(4,3),(5,1),(5,7),(6,4)],8)
[1,2,7,3,4,5,8,6]=>([(0,6),(2,7),(3,5),(4,3),(5,1),(5,7),(6,2),(6,4)],8)
[1,2,3,7,4,5,8,6]=>([(0,5),(2,7),(3,4),(4,1),(4,7),(5,6),(6,2),(6,3)],8)
[1,2,3,4,7,5,8,6]=>([(0,5),(2,7),(3,6),(4,1),(4,7),(5,3),(6,2),(6,4)],8)
[1,2,3,4,7,8,5,6]=>([(0,6),(3,7),(4,2),(5,1),(6,3),(7,4),(7,5)],8)
[1,7,2,3,4,5,6,8]=>([(0,2),(0,6),(1,7),(2,7),(3,5),(4,3),(5,1),(6,4)],8)
[1,2,7,3,4,5,6,8]=>([(0,6),(1,7),(2,7),(3,5),(4,3),(5,1),(6,2),(6,4)],8)
[1,2,3,7,4,5,6,8]=>([(0,5),(1,7),(2,7),(3,4),(4,1),(5,6),(6,2),(6,3)],8)
[1,2,3,4,7,5,6,8]=>([(0,5),(1,7),(2,7),(3,6),(4,1),(5,3),(6,2),(6,4)],8)
[1,8,2,3,4,5,6,7]=>([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,8,3,4,5,6,7]=>([(0,7),(3,4),(4,6),(5,3),(6,1),(7,2),(7,5)],8)
[1,2,3,8,4,5,6,7]=>([(0,6),(3,5),(4,3),(5,1),(6,7),(7,2),(7,4)],8)
[1,2,3,4,8,5,6,7]=>([(0,6),(3,7),(4,5),(5,1),(6,3),(7,2),(7,4)],8)
[1,2,3,4,5,8,6,7]=>([(0,6),(3,4),(4,7),(5,1),(6,3),(7,2),(7,5)],8)
[5,3,2,6,1,4,8,7]=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[7,3,2,5,4,8,1,6]=>([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,5,2,3,7,6,1]=>([(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,5,2,3,8,1,6]=>([(0,7),(1,6),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,5,2,3,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,6,2,1,3,8,7]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,1,5,4,2,8,7]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,5,1,3,2,8,7]=>([(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,4,3,1,2,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,4,3,2,8,1,6]=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,4,3,7,2,5,1]=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,4,3,8,2,1,5]=>([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,4,3,8,1,2,5]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(5,7)],8)
[5,7,4,3,1,8,2,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)
[4,7,5,1,3,8,2,6]=>([(0,3),(0,5),(1,2),(1,4),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,1,5,4,8,2,6]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,7,5,4,8,3,6]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,1,5,4,7,6,2]=>([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(6,4),(6,5),(7,4),(7,5)],8)
[4,8,5,1,3,7,6,2]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,4,3,1,7,6,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)
[6,8,4,3,7,1,5,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8)
[7,8,4,3,6,5,1,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8)
[6,8,5,7,3,1,4,2]=>([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8)
[5,8,6,7,1,3,4,2]=>([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8)
[4,8,6,1,7,3,5,2]=>([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(4,7),(5,6)],8)
[3,8,1,6,7,4,5,2]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(6,3),(7,2)],8)
[2,1,8,6,7,4,5,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8)
[2,1,7,6,8,4,3,5]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(4,3),(5,3),(6,2),(7,2)],8)
[3,7,1,6,8,4,2,5]=>([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(3,5),(6,4),(7,5)],8)
[4,7,6,1,8,3,2,5]=>([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(4,6),(5,6)],8)
[5,7,6,8,1,3,2,4]=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,7),(5,7)],8)
[5,4,7,2,1,8,3,6]=>([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6)],8)
[6,4,7,2,8,1,3,5]=>([(0,5),(1,4),(2,4),(2,7),(3,5),(3,6),(4,6),(5,7)],8)
[7,4,6,2,8,3,1,5]=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,6),(5,7)],8)
[8,4,6,2,7,3,5,1]=>([(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)
[8,3,2,6,7,4,5,1]=>([(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8)
[7,3,2,6,8,4,1,5]=>([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,7)],8)
[6,3,2,7,8,1,4,5]=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(6,4),(7,5)],8)
[5,3,2,7,1,8,4,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(6,5),(7,4)],8)
[4,3,2,1,7,8,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8)
[3,4,1,2,8,7,6,5]=>([(0,3),(1,2),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[5,3,2,8,1,7,6,4]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[6,3,2,8,7,1,5,4]=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[7,3,2,8,6,5,1,4]=>([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[8,4,7,2,6,5,3,1]=>([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)
[7,4,8,2,6,5,1,3]=>([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8)
[6,4,8,2,7,1,5,3]=>([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8)
[5,4,8,2,1,7,6,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8)
[4,5,8,1,2,7,6,3]=>([(0,5),(1,4),(4,2),(4,6),(4,7),(5,3),(5,6),(5,7)],8)
[3,5,1,8,2,7,6,4]=>([(0,3),(0,7),(1,2),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6)],8)
[2,1,5,8,3,7,6,4]=>([(0,6),(0,7),(1,6),(1,7),(6,3),(6,4),(6,5),(7,2),(7,4),(7,5)],8)
[2,1,6,8,7,3,5,4]=>([(0,6),(0,7),(1,6),(1,7),(6,4),(6,5),(7,2),(7,3)],8)
[3,6,1,8,7,2,5,4]=>([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5)],8)
[4,6,8,1,7,2,5,3]=>([(0,5),(0,7),(1,4),(1,6),(4,2),(4,7),(5,3),(5,6)],8)
[5,6,8,7,1,2,4,3]=>([(0,7),(1,6),(6,2),(6,3),(7,4),(7,5)],8)
[6,5,8,7,2,1,4,3]=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8)
[7,5,8,6,2,4,1,3]=>([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8)
[8,5,7,6,2,4,3,1]=>([(2,6),(2,7),(3,4),(3,5)],8)
[5,7,8,6,1,4,2,3]=>([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8)
[4,7,8,1,6,5,2,3]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(4,2),(5,3)],8)
[3,7,1,8,6,5,2,4]=>([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(3,4)],8)
[2,1,7,8,6,5,3,4]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8)
[3,8,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8)
[4,8,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8)
[5,8,7,6,1,4,3,2]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8)
[6,8,7,5,4,1,3,2]=>([(2,6),(2,7),(3,4),(3,5)],8)
[3,2,5,1,4,6,7,8]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(5,6),(6,3),(7,6)],8)
[4,2,5,1,3,6,7,8]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(5,7),(6,7),(7,3)],8)
[5,2,4,1,3,6,7,8]=>([(0,7),(1,6),(2,3),(2,6),(3,7),(4,5),(6,7),(7,4)],8)
[3,2,6,1,4,5,7,8]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(4,6),(5,6),(6,3),(7,4)],8)
[4,2,6,1,3,5,7,8]=>([(0,6),(1,5),(1,7),(2,6),(2,7),(4,3),(5,4),(6,5),(7,4)],8)
[5,3,6,1,2,4,7,8]=>([(0,5),(1,5),(1,7),(2,4),(4,7),(5,6),(6,3),(7,6)],8)
[6,2,4,1,3,5,7,8]=>([(0,6),(1,5),(2,4),(2,5),(4,7),(5,7),(6,3),(7,6)],8)
[6,3,5,1,2,4,7,8]=>([(0,7),(1,5),(2,3),(2,6),(3,7),(5,6),(6,7),(7,4)],8)
[5,3,7,1,2,4,6,8]=>([(0,3),(1,5),(1,7),(2,6),(2,7),(3,6),(5,4),(6,5),(7,4)],8)
[5,4,7,1,2,3,6,8]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(3,4),(4,7),(5,6),(7,6)],8)
[6,2,7,1,3,4,5,8]=>([(0,7),(1,5),(2,5),(2,7),(3,4),(4,6),(5,6),(7,3)],8)
[6,3,7,1,2,4,5,8]=>([(0,5),(1,5),(1,7),(2,3),(3,7),(4,6),(5,6),(7,4)],8)
[6,4,7,1,2,3,5,8]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6),(5,7),(6,7)],8)
[7,3,5,1,2,4,6,8]=>([(0,5),(1,4),(2,3),(2,6),(3,7),(4,6),(6,7),(7,5)],8)
[7,3,6,1,2,4,5,8]=>([(0,7),(1,4),(2,3),(2,6),(3,7),(4,6),(5,7),(6,5)],8)
[7,4,6,1,2,3,5,8]=>([(0,7),(1,3),(2,4),(2,6),(3,5),(4,7),(5,6),(6,7)],8)
[3,2,8,1,4,5,6,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(5,4),(7,3)],8)
[4,2,8,1,3,5,6,7]=>([(0,6),(1,5),(1,7),(2,5),(2,6),(3,4),(6,7),(7,3)],8)
[5,4,8,1,2,3,6,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,5),(5,7),(7,4)],8)
[6,2,8,1,3,4,5,7]=>([(0,7),(1,5),(1,7),(2,5),(2,6),(3,4),(4,6),(7,3)],8)
[6,3,8,1,2,4,5,7]=>([(0,5),(0,7),(1,5),(1,6),(2,3),(3,7),(4,6),(7,4)],8)
[6,4,8,1,2,3,5,7]=>([(0,5),(0,7),(1,5),(1,6),(2,3),(3,4),(4,6),(6,7)],8)
[6,5,8,1,2,3,4,7]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,5),(4,7),(5,4)],8)
[7,2,8,1,3,4,5,6]=>([(0,6),(1,7),(2,6),(2,7),(3,5),(5,4),(7,3)],8)
[7,3,8,1,2,4,5,6]=>([(0,6),(1,6),(1,7),(2,3),(3,7),(4,5),(7,4)],8)
[7,4,8,1,2,3,5,6]=>([(0,6),(1,6),(1,7),(2,4),(4,5),(5,7),(7,3)],8)
[7,5,8,1,2,3,4,6]=>([(0,3),(1,6),(2,6),(2,7),(3,5),(4,7),(5,4)],8)
[8,2,4,1,3,5,6,7]=>([(1,6),(2,3),(2,6),(3,7),(4,5),(6,7),(7,4)],8)
[8,3,5,1,2,4,6,7]=>([(1,5),(2,3),(2,6),(3,7),(5,6),(6,7),(7,4)],8)
[8,3,6,1,2,4,5,7]=>([(1,4),(2,3),(2,6),(3,7),(4,6),(5,7),(6,5)],8)
[8,3,7,1,2,4,5,6]=>([(1,5),(2,4),(2,7),(5,7),(6,3),(7,6)],8)
[8,4,7,1,2,3,5,6]=>([(1,6),(2,5),(2,7),(3,7),(6,3),(7,4)],8)
[8,5,7,1,2,3,4,6]=>([(1,6),(2,4),(2,7),(3,7),(5,3),(6,5)],8)
[3,2,5,7,1,4,6,8]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(3,6),(4,6),(5,3),(5,4),(7,4)],8)
[4,2,5,7,1,3,6,8]=>([(0,6),(1,7),(2,6),(2,7),(3,4),(5,4),(6,5),(7,3),(7,5)],8)
[5,2,4,7,1,3,6,8]=>([(0,6),(0,7),(1,4),(2,3),(2,4),(3,6),(3,7),(4,7),(6,5),(7,5)],8)
[4,2,6,7,1,3,5,8]=>([(0,7),(1,5),(1,7),(2,5),(2,6),(3,4),(5,3),(6,4),(7,6)],8)
[5,2,6,7,1,3,4,8]=>([(0,6),(1,5),(2,5),(2,6),(3,7),(4,7),(5,3),(6,4)],8)
[5,3,6,7,1,2,4,8]=>([(0,5),(1,5),(1,6),(2,4),(3,7),(4,6),(5,3),(6,7)],8)
[6,2,5,7,1,3,4,8]=>([(0,5),(1,6),(2,4),(2,5),(3,7),(4,6),(5,3),(6,7)],8)
[6,3,5,7,1,2,4,8]=>([(0,7),(1,3),(2,4),(2,6),(3,6),(4,7),(6,5),(7,5)],8)
[3,2,5,8,1,4,6,7]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(5,3),(5,6),(6,4),(7,6)],8)
[4,2,5,8,1,3,6,7]=>([(0,5),(1,6),(2,5),(2,6),(5,7),(6,3),(6,7),(7,4)],8)
[4,3,5,8,1,2,6,7]=>([(0,6),(1,6),(2,3),(3,7),(6,5),(6,7),(7,4)],8)
[5,2,4,8,1,3,6,7]=>([(0,6),(0,7),(1,5),(2,3),(2,5),(3,6),(3,7),(5,7),(7,4)],8)
[3,2,6,8,1,4,5,7]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(3,6),(5,4),(5,6),(7,3)],8)
[4,2,6,8,1,3,5,7]=>([(0,6),(1,5),(1,7),(2,6),(2,7),(5,4),(6,5),(7,3),(7,4)],8)
[5,2,6,8,1,3,4,7]=>([(0,5),(1,6),(2,5),(2,6),(4,7),(5,4),(6,3),(6,7)],8)
[6,2,4,8,1,3,5,7]=>([(0,7),(1,3),(1,7),(2,4),(2,5),(3,5),(3,6),(6,4),(7,6)],8)
[6,3,4,8,1,2,5,7]=>([(0,5),(0,6),(1,3),(2,4),(3,7),(4,6),(4,7),(7,5)],8)
[6,2,5,8,1,3,4,7]=>([(0,6),(0,7),(1,5),(2,3),(2,5),(3,6),(3,7),(4,7),(5,4)],8)
[6,3,5,8,1,2,4,7]=>([(0,5),(0,7),(1,3),(2,4),(2,6),(3,6),(4,5),(4,7),(6,7)],8)
[6,4,5,8,1,2,3,7]=>([(0,6),(0,7),(1,3),(2,4),(3,5),(4,6),(4,7),(5,7)],8)
[3,2,7,8,1,4,5,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(6,4),(7,3)],8)
[4,3,7,8,1,2,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,7),(6,5),(7,4)],8)
[5,3,7,8,1,2,4,6]=>([(0,6),(0,7),(1,5),(1,6),(2,4),(4,7),(6,3),(7,5)],8)
[5,4,7,8,1,2,3,6]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,5),(5,7),(6,4)],8)
[6,2,7,8,1,3,4,5]=>([(0,6),(1,7),(2,6),(2,7),(4,5),(6,3),(7,4)],8)
[6,3,7,8,1,2,4,5]=>([(0,6),(1,6),(1,7),(2,3),(3,7),(6,5),(7,4)],8)
[6,4,7,8,1,2,3,5]=>([(0,7),(1,6),(1,7),(2,4),(4,5),(5,6),(7,3)],8)
[7,2,4,8,1,3,5,6]=>([(0,5),(1,6),(2,4),(2,5),(4,6),(4,7),(5,7),(7,3)],8)
[7,3,4,8,1,2,5,6]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(5,7),(7,4)],8)
[7,3,5,8,1,2,4,6]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6),(4,7),(5,7)],8)
[7,4,5,8,1,2,3,6]=>([(0,6),(1,3),(2,4),(3,5),(4,6),(4,7),(5,7)],8)
[7,4,6,8,1,2,3,5]=>([(0,7),(1,4),(2,3),(2,6),(3,7),(4,5),(5,6)],8)
[8,3,4,6,1,2,5,7]=>([(1,3),(2,4),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[8,3,5,6,1,2,4,7]=>([(1,3),(2,4),(2,7),(3,7),(4,5),(5,6),(7,6)],8)
[8,2,4,7,1,3,5,6]=>([(1,6),(2,4),(2,6),(4,5),(4,7),(6,7),(7,3)],8)
[8,2,5,7,1,3,4,6]=>([(1,6),(2,3),(2,6),(3,5),(3,7),(4,7),(6,4)],8)
[8,3,5,7,1,2,4,6]=>([(1,4),(2,3),(2,6),(3,5),(3,7),(4,6),(6,7)],8)
[8,2,6,7,1,3,4,5]=>([(1,7),(2,5),(2,7),(5,4),(6,3),(7,6)],8)
[8,4,6,7,1,2,3,5]=>([(1,5),(2,6),(2,7),(4,7),(5,4),(6,3)],8)
[3,6,2,5,1,4,7,8]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(5,7),(6,7),(7,4)],8)
[4,6,2,5,1,3,7,8]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,7),(5,7),(6,7),(7,4)],8)
[4,6,3,5,1,2,7,8]=>([(0,6),(1,3),(2,4),(2,6),(3,7),(4,7),(6,7),(7,5)],8)
[5,6,2,4,1,3,7,8]=>([(0,6),(1,3),(2,4),(2,6),(3,7),(4,7),(6,7),(7,5)],8)
[3,7,2,5,1,4,6,8]=>([(0,7),(1,4),(1,7),(2,3),(2,4),(2,7),(3,6),(4,5),(5,6),(7,5)],8)
[4,7,3,5,1,2,6,8]=>([(0,5),(1,4),(2,3),(2,5),(3,7),(4,6),(5,6),(6,7)],8)
[5,7,2,4,1,3,6,8]=>([(0,5),(1,3),(1,7),(2,4),(2,5),(3,6),(4,7),(5,7),(7,6)],8)
[3,7,2,6,1,4,5,8]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(4,7),(5,7),(6,4)],8)
[4,7,3,6,1,2,5,8]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(2,6),(3,7),(4,6),(5,7),(6,7)],8)
[5,7,2,6,1,3,4,8]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(3,7),(4,7),(5,7),(6,3)],8)
[6,7,2,5,1,3,4,8]=>([(0,6),(1,3),(2,4),(2,6),(3,7),(4,7),(5,7),(6,5)],8)
[4,8,2,5,1,3,6,7]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(5,7),(6,7),(7,3)],8)
[5,8,2,4,1,3,6,7]=>([(0,6),(1,3),(1,7),(2,4),(2,6),(4,7),(6,7),(7,5)],8)
[5,8,3,4,1,2,6,7]=>([(0,6),(1,5),(2,4),(2,7),(5,7),(6,7),(7,3)],8)
[3,8,2,6,1,4,5,7]=>([(0,7),(1,5),(1,7),(2,3),(2,5),(2,7),(4,6),(5,6),(7,4)],8)
[5,8,3,6,1,2,4,7]=>([(0,5),(0,7),(1,4),(2,3),(2,5),(4,7),(5,6),(7,6)],8)
[5,8,4,6,1,2,3,7]=>([(0,6),(1,4),(2,3),(2,6),(4,5),(5,7),(6,7)],8)
[6,8,3,5,1,2,4,7]=>([(0,5),(1,3),(1,7),(2,4),(2,6),(4,7),(5,6),(6,7)],8)
[3,8,2,7,1,4,5,6]=>([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(4,5),(7,4)],8)
[4,8,2,7,1,3,5,6]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(2,7),(5,7),(7,3)],8)
[4,8,3,7,1,2,5,6]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(2,7),(4,7),(7,5)],8)
[5,8,2,7,1,3,4,6]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(2,7),(4,7),(6,4)],8)
[5,8,3,7,1,2,4,6]=>([(0,5),(0,7),(1,4),(2,3),(2,5),(2,6),(4,7),(7,6)],8)
[5,8,4,7,1,2,3,6]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(2,7),(4,5),(5,7)],8)
[6,8,2,7,1,3,4,5]=>([(0,7),(1,6),(1,7),(2,3),(2,6),(4,5),(7,4)],8)
[6,8,3,7,1,2,4,5]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(4,7),(7,5)],8)
[6,8,5,7,1,2,3,4]=>([(0,7),(1,6),(2,4),(2,7),(5,3),(6,5)],8)
[7,8,2,4,1,3,5,6]=>([(0,6),(1,3),(2,4),(2,6),(4,7),(6,7),(7,5)],8)
[7,8,2,5,1,3,4,6]=>([(0,6),(1,3),(2,4),(2,6),(4,7),(5,7),(6,5)],8)
[7,8,3,5,1,2,4,6]=>([(0,3),(1,5),(2,4),(2,6),(4,7),(5,6),(6,7)],8)
[7,8,4,6,1,2,3,5]=>([(0,4),(1,6),(2,5),(2,7),(3,7),(6,3)],8)
[4,3,2,6,1,5,7,8]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(5,4),(6,5),(7,5)],8)
[5,3,2,6,1,4,7,8]=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(5,4),(6,5),(7,5)],8)
[5,4,2,6,1,3,7,8]=>([(0,7),(1,7),(2,5),(3,5),(3,7),(5,6),(6,4),(7,6)],8)
[6,3,2,5,1,4,7,8]=>([(0,7),(1,6),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7),(7,4)],8)
[6,5,2,4,1,3,7,8]=>([(0,7),(1,7),(2,6),(3,4),(3,6),(4,7),(6,7),(7,5)],8)
[4,3,2,7,1,5,6,8]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(6,5),(7,4)],8)
[5,3,2,7,1,4,6,8]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(6,5),(7,4)],8)
[5,4,3,7,1,2,6,8]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,7),(6,5),(7,5)],8)
[6,3,2,7,1,4,5,8]=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(6,5),(7,4)],8)
[6,4,2,7,1,3,5,8]=>([(0,4),(1,7),(2,4),(2,7),(3,6),(3,7),(4,6),(6,5),(7,5)],8)
[6,4,3,7,1,2,5,8]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(4,7),(6,5),(7,5)],8)
[6,5,2,7,1,3,4,8]=>([(0,7),(1,7),(2,5),(3,5),(3,7),(4,6),(5,4),(7,6)],8)
[6,5,3,7,1,2,4,8]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(4,6),(6,5),(7,5)],8)
[7,3,2,5,1,4,6,8]=>([(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(4,6),(6,5),(7,6)],8)
[7,4,2,5,1,3,6,8]=>([(0,6),(1,5),(2,4),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[7,3,2,6,1,4,5,8]=>([(0,7),(1,6),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,4)],8)
[7,4,2,6,1,3,5,8]=>([(0,7),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,4,3,6,1,2,5,8]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(4,7),(5,6),(7,6)],8)
[7,5,2,6,1,3,4,8]=>([(0,6),(1,7),(2,5),(3,5),(3,6),(4,7),(5,7),(6,4)],8)
[7,5,3,6,1,2,4,8]=>([(0,7),(1,5),(2,5),(2,6),(3,4),(4,6),(5,7),(6,7)],8)
[7,6,3,5,1,2,4,8]=>([(0,7),(1,7),(2,5),(3,4),(3,6),(4,7),(5,6),(6,7)],8)
[4,3,2,8,1,5,6,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(7,4)],8)
[5,3,2,8,1,4,6,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(5,4),(7,5)],8)
[5,4,3,8,1,2,6,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,7),(7,5)],8)
[6,3,2,8,1,4,5,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(7,4)],8)
[6,4,2,8,1,3,5,7]=>([(0,4),(1,4),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(6,5)],8)
[6,4,3,8,1,2,5,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(3,4),(4,7),(7,5)],8)
[6,5,2,8,1,3,4,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(3,6),(4,7),(5,4)],8)
[6,5,3,8,1,2,4,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(3,4),(4,5),(5,7)],8)
[7,3,2,8,1,4,5,6]=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(7,4)],8)
[7,4,2,8,1,3,5,6]=>([(0,7),(1,6),(1,7),(2,5),(3,5),(3,7),(5,6),(6,4)],8)
[7,4,3,8,1,2,5,6]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(4,7),(7,5)],8)
[7,5,3,8,1,2,4,6]=>([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(4,6),(6,5)],8)
[7,5,4,8,1,2,3,6]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,7)],8)
[7,6,2,8,1,3,4,5]=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(6,4)],8)
[8,3,2,5,1,4,6,7]=>([(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(6,4),(7,6)],8)
[8,4,2,5,1,3,6,7]=>([(1,6),(2,5),(3,5),(3,6),(5,7),(6,7),(7,4)],8)
[8,3,2,6,1,4,5,7]=>([(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,6),(7,4)],8)
[8,4,2,6,1,3,5,7]=>([(1,5),(2,4),(2,6),(3,4),(3,5),(4,7),(5,6),(6,7)],8)
[8,5,3,6,1,2,4,7]=>([(1,5),(2,5),(2,7),(3,4),(4,7),(5,6),(7,6)],8)
[8,6,2,4,1,3,5,7]=>([(1,5),(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[8,6,2,5,1,3,4,7]=>([(1,7),(2,6),(3,4),(3,6),(4,7),(5,7),(6,5)],8)
[8,3,2,7,1,4,5,6]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(7,4)],8)
[8,4,2,7,1,3,5,6]=>([(1,6),(2,5),(2,7),(3,5),(3,6),(6,7),(7,4)],8)
[8,4,3,7,1,2,5,6]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(4,7),(7,5)],8)
[8,5,2,7,1,3,4,6]=>([(1,6),(2,5),(2,6),(3,5),(3,7),(4,7),(6,4)],8)
[8,5,3,7,1,2,4,6]=>([(1,5),(1,7),(2,5),(2,6),(3,4),(4,7),(7,6)],8)
[8,6,3,7,1,2,4,5]=>([(1,6),(2,6),(2,7),(3,4),(4,7),(7,5)],8)
[8,7,2,4,1,3,5,6]=>([(2,6),(3,4),(3,6),(4,7),(6,7),(7,5)],8)
[8,7,2,5,1,3,4,6]=>([(2,6),(3,4),(3,6),(4,7),(5,7),(6,5)],8)
[8,7,3,5,1,2,4,6]=>([(2,5),(3,4),(3,6),(4,7),(5,6),(6,7)],8)
[8,7,2,6,1,3,4,5]=>([(2,7),(3,4),(3,7),(5,6),(7,5)],8)
[8,7,3,6,1,2,4,5]=>([(2,5),(3,4),(3,7),(5,7),(7,6)],8)
[8,7,4,6,1,2,3,5]=>([(2,5),(3,4),(3,7),(5,6),(6,7)],8)
[3,6,2,5,8,1,4,7]=>([(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
[4,6,3,5,8,1,2,7]=>([(0,5),(1,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,2,4,8,1,3,7]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[4,7,2,5,8,1,3,6]=>([(0,6),(1,3),(1,7),(2,6),(2,7),(3,5),(6,4),(7,4),(7,5)],8)
[4,7,3,5,8,1,2,6]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,7),(5,6),(5,7)],8)
[5,7,2,4,8,1,3,6]=>([(0,5),(1,3),(1,7),(2,4),(2,5),(3,6),(4,6),(4,7),(5,7)],8)
[5,7,3,4,8,1,2,6]=>([(0,5),(1,3),(2,4),(2,7),(3,7),(4,6),(5,6),(5,7)],8)
[4,7,3,6,8,1,2,5]=>([(0,5),(0,7),(1,4),(2,3),(2,5),(2,7),(3,6),(4,7),(5,6)],8)
[5,7,2,6,8,1,3,4]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(4,7),(5,7),(6,3)],8)
[5,7,4,6,8,1,2,3]=>([(0,6),(1,4),(2,3),(2,6),(3,7),(4,5),(6,7)],8)
[6,7,3,4,8,1,2,5]=>([(0,4),(1,3),(2,5),(3,6),(4,7),(5,6),(5,7)],8)
[6,7,3,5,8,1,2,4]=>([(0,3),(1,5),(2,4),(2,6),(3,7),(4,7),(5,6)],8)
[3,8,2,5,7,1,4,6]=>([(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(6,3),(6,5),(7,5)],8)
[4,8,3,5,7,1,2,6]=>([(0,6),(1,4),(2,3),(2,6),(4,7),(6,5),(6,7)],8)
[5,8,2,4,7,1,3,6]=>([(0,5),(1,3),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(5,7)],8)
[3,8,2,6,7,1,4,5]=>([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(6,5),(7,4)],8)
[5,8,2,6,7,1,3,4]=>([(0,6),(1,6),(1,7),(2,3),(2,7),(6,4),(7,5)],8)
[5,8,3,6,7,1,2,4]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(4,7),(6,5)],8)
[6,8,2,5,7,1,3,4]=>([(0,6),(1,3),(1,7),(2,4),(2,6),(4,7),(6,5)],8)
[6,8,4,5,7,1,2,3]=>([(0,5),(1,6),(2,4),(2,7),(5,7),(6,3)],8)
[7,8,2,4,6,1,3,5]=>([(0,6),(1,3),(2,4),(2,6),(4,5),(4,7),(6,7)],8)
[7,8,3,4,6,1,2,5]=>([(0,4),(1,5),(2,6),(5,7),(6,3),(6,7)],8)
[7,8,2,5,6,1,3,4]=>([(0,7),(1,5),(2,6),(2,7),(6,3),(7,4)],8)
[7,8,3,5,6,1,2,4]=>([(0,4),(1,5),(2,6),(2,7),(5,7),(6,3)],8)
[4,3,2,6,8,1,5,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,5)],8)
[5,3,2,6,8,1,4,7]=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4),(7,5)],8)
[5,4,2,6,8,1,3,7]=>([(0,7),(1,7),(2,5),(3,5),(3,7),(5,6),(7,4),(7,6)],8)
[5,4,3,6,8,1,2,7]=>([(0,7),(1,7),(2,7),(3,5),(5,6),(7,4),(7,6)],8)
[6,3,2,5,8,1,4,7]=>([(0,5),(0,7),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,7),(6,7)],8)
[6,4,3,5,8,1,2,7]=>([(0,6),(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(5,7)],8)
[6,5,2,4,8,1,3,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,7)],8)
[4,3,2,7,8,1,5,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8)
[5,3,2,7,8,1,4,6]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(6,5),(7,4)],8)
[5,4,2,7,8,1,3,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(3,7),(5,6),(7,4)],8)
[5,4,3,7,8,1,2,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,7),(6,5)],8)
[6,4,2,7,8,1,3,5]=>([(0,7),(1,6),(1,7),(2,5),(3,5),(3,7),(5,6),(7,4)],8)
[6,4,3,7,8,1,2,5]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(4,7),(6,5)],8)
[6,5,2,7,8,1,3,4]=>([(0,7),(1,7),(2,6),(3,6),(3,7),(6,5),(7,4)],8)
[7,4,2,5,8,1,3,6]=>([(0,6),(1,4),(2,5),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[7,4,3,5,8,1,2,6]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(5,7)],8)
[7,5,2,6,8,1,3,4]=>([(0,6),(1,7),(2,5),(3,5),(3,7),(5,6),(7,4)],8)
[7,5,3,6,8,1,2,4]=>([(0,6),(1,5),(2,5),(2,7),(3,4),(4,7),(5,6)],8)
[7,6,2,4,8,1,3,5]=>([(0,7),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6)],8)
[7,6,3,5,8,1,2,4]=>([(0,7),(1,7),(2,5),(3,4),(3,6),(4,7),(5,6)],8)
[8,3,2,5,7,1,4,6]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,5)],8)
[8,4,2,5,7,1,3,6]=>([(1,7),(2,5),(3,5),(3,7),(5,6),(7,4),(7,6)],8)
[8,5,2,4,7,1,3,6]=>([(1,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,7)],8)
[8,3,2,6,7,1,4,5]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8)
[8,5,2,6,7,1,3,4]=>([(1,7),(2,6),(3,6),(3,7),(6,4),(7,5)],8)
[8,5,3,6,7,1,2,4]=>([(1,6),(2,6),(2,7),(3,4),(4,7),(6,5)],8)
[8,6,2,4,7,1,3,5]=>([(1,5),(2,6),(3,4),(3,5),(4,6),(4,7),(5,7)],8)
[8,6,2,5,7,1,3,4]=>([(1,7),(2,6),(3,4),(3,6),(4,7),(6,5)],8)
[8,6,3,5,7,1,2,4]=>([(1,7),(2,5),(3,4),(3,6),(4,7),(5,6)],8)
[8,7,2,4,6,1,3,5]=>([(2,6),(3,4),(3,6),(4,5),(4,7),(6,7)],8)
[8,7,3,4,6,1,2,5]=>([(2,4),(3,5),(4,7),(5,6),(5,7)],8)
[8,7,2,5,6,1,3,4]=>([(2,7),(3,4),(3,7),(4,6),(7,5)],8)
[4,3,7,2,6,1,5,8]=>([(0,7),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(7,6)],8)
[5,3,7,2,6,1,4,8]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,4,7,2,6,1,3,8]=>([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[6,3,7,2,5,1,4,8]=>([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[6,4,7,2,5,1,3,8]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[6,4,7,3,5,1,2,8]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,6,2,5,1,4,8]=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,3,8,2,6,1,5,7]=>([(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(6,5),(7,5)],8)
[5,3,8,2,6,1,4,7]=>([(0,6),(1,6),(1,7),(2,4),(2,7),(3,4),(3,6),(3,7),(6,5),(7,5)],8)
[5,4,8,2,6,1,3,7]=>([(0,5),(1,4),(1,7),(2,4),(2,7),(3,5),(3,7),(5,6),(7,6)],8)
[5,4,8,3,6,1,2,7]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(4,6),(7,6)],8)
[6,3,8,2,5,1,4,7]=>([(0,6),(1,4),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[6,4,8,2,5,1,3,7]=>([(0,5),(1,4),(1,7),(2,5),(2,6),(3,4),(3,6),(5,7),(6,7)],8)
[6,4,8,3,5,1,2,7]=>([(0,6),(1,5),(1,7),(2,5),(2,6),(3,4),(4,7),(6,7)],8)
[6,5,8,2,4,1,3,7]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(6,7)],8)
[6,5,8,3,4,1,2,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,7),(5,7)],8)
[4,3,8,2,7,1,5,6]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[5,3,8,2,7,1,4,6]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(7,4)],8)
[5,4,8,2,7,1,3,6]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(5,7)],8)
[5,4,8,3,7,1,2,6]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,7)],8)
[6,3,8,2,7,1,4,5]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(7,4)],8)
[6,4,8,2,7,1,3,5]=>([(0,5),(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(5,6)],8)
[7,3,8,2,5,1,4,6]=>([(0,7),(1,4),(2,5),(2,7),(3,4),(3,5),(3,7),(5,6),(7,6)],8)
[7,4,8,3,5,1,2,6]=>([(0,5),(1,6),(2,5),(2,6),(3,4),(4,7),(6,7)],8)
[7,5,8,2,4,1,3,6]=>([(0,5),(1,6),(2,5),(2,7),(3,4),(3,6),(4,7),(6,7)],8)
[7,5,8,2,6,1,3,4]=>([(0,7),(1,5),(2,6),(2,7),(3,5),(3,6),(7,4)],8)
[7,5,8,4,6,1,2,3]=>([(0,7),(1,6),(2,6),(2,7),(3,4),(4,5)],8)
[7,6,8,2,5,1,3,4]=>([(0,7),(1,6),(2,6),(3,5),(3,7),(7,4)],8)
[7,6,8,3,5,1,2,4]=>([(0,6),(1,6),(2,5),(3,4),(3,7),(5,7)],8)
[8,3,6,2,5,1,4,7]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[8,4,6,2,5,1,3,7]=>([(1,5),(2,5),(2,6),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[8,5,6,2,4,1,3,7]=>([(1,6),(2,5),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[8,3,7,2,5,1,4,6]=>([(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(5,6),(7,6)],8)
[8,4,7,3,5,1,2,6]=>([(1,6),(2,5),(3,4),(3,6),(5,7),(6,7)],8)
[8,5,7,2,4,1,3,6]=>([(1,6),(2,4),(2,7),(3,5),(3,6),(5,7),(6,7)],8)
[8,3,7,2,6,1,4,5]=>([(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(7,5)],8)
[8,4,7,2,6,1,3,5]=>([(1,5),(2,5),(2,6),(3,4),(3,6),(3,7),(5,7)],8)
[8,4,7,3,6,1,2,5]=>([(1,6),(1,7),(2,5),(3,4),(3,6),(3,7),(5,7)],8)
[8,5,7,2,6,1,3,4]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(7,4)],8)
[8,6,7,2,4,1,3,5]=>([(1,6),(2,4),(3,5),(3,6),(5,7),(6,7)],8)
[8,6,7,2,5,1,3,4]=>([(1,7),(2,5),(3,4),(3,7),(7,6)],8)
[8,6,7,3,5,1,2,4]=>([(1,4),(2,6),(3,5),(3,7),(6,7)],8)
[5,4,3,2,7,1,6,8]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[6,4,3,2,7,1,5,8]=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[6,5,3,2,7,1,4,8]=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[6,5,4,2,7,1,3,8]=>([(0,7),(1,7),(2,7),(3,5),(4,5),(4,7),(5,6),(7,6)],8)
[7,5,3,2,6,1,4,8]=>([(0,7),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,5,4,2,6,1,3,8]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
[5,4,3,2,8,1,6,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[6,5,3,2,8,1,4,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[6,5,4,2,8,1,3,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(4,6),(5,7)],8)
[6,5,4,3,8,1,2,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,7)],8)
[7,5,3,2,8,1,4,6]=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(6,5)],8)
[7,5,4,2,8,1,3,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(4,7),(5,6)],8)
[7,6,3,2,8,1,4,5]=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[7,6,4,3,8,1,2,5]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6)],8)
[7,6,5,2,8,1,3,4]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(4,7),(6,5)],8)
[8,5,3,2,6,1,4,7]=>([(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[8,5,4,2,6,1,3,7]=>([(1,7),(2,7),(3,5),(4,5),(4,7),(5,6),(7,6)],8)
[8,6,5,2,4,1,3,7]=>([(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,5,3,2,7,1,4,6]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(7,5)],8)
[8,6,3,2,7,1,4,5]=>([(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[8,6,4,3,7,1,2,5]=>([(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(5,7)],8)
[8,7,3,2,6,1,4,5]=>([(2,7),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[8,7,4,2,6,1,3,5]=>([(2,6),(3,5),(3,7),(4,5),(4,6),(6,7)],8)
[8,7,4,3,6,1,2,5]=>([(2,6),(2,7),(3,6),(3,7),(4,5),(5,7)],8)
[8,7,5,2,6,1,3,4]=>([(2,7),(3,6),(4,6),(4,7),(7,5)],8)
[8,7,5,3,6,1,2,4]=>([(2,6),(3,6),(3,7),(4,5),(5,7)],8)
[8,7,6,2,4,1,3,5]=>([(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,7,6,2,5,1,3,4]=>([(3,7),(4,5),(4,7),(7,6)],8)
[8,7,6,3,5,1,2,4]=>([(3,6),(4,5),(4,7),(6,7)],8)
[4,8,3,7,2,6,1,5]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[5,8,3,7,2,6,1,4]=>([(0,6),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7)],8)
[5,8,4,7,2,6,1,3]=>([(0,5),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7)],8)
[5,8,4,7,3,6,1,2]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8)
[6,8,3,7,2,5,1,4]=>([(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6)],8)
[6,8,4,7,2,5,1,3]=>([(0,6),(1,5),(1,6),(2,5),(2,7),(3,4),(3,7)],8)
[6,8,4,7,3,5,1,2]=>([(0,6),(1,6),(1,7),(2,5),(3,4),(3,7)],8)
[6,8,5,7,2,4,1,3]=>([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8)
[6,8,5,7,3,4,1,2]=>([(0,7),(1,5),(2,4),(3,6),(3,7)],8)
[7,8,3,6,2,5,1,4]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8)
[7,8,4,6,2,5,1,3]=>([(0,6),(1,6),(1,7),(2,5),(3,4),(3,7)],8)
[7,8,4,6,3,5,1,2]=>([(0,7),(1,5),(2,4),(3,6),(3,7)],8)
[7,8,5,6,2,4,1,3]=>([(0,7),(1,5),(2,4),(3,6),(3,7)],8)
[5,4,3,8,2,7,1,6]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,4,3,8,2,7,1,5]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,5,3,8,2,7,1,4]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,5,4,8,3,7,1,2]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5)],8)
[7,4,3,8,2,6,1,5]=>([(0,7),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,5,3,8,2,6,1,4]=>([(0,6),(1,5),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,5,4,8,2,6,1,3]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(4,6)],8)
[7,6,3,8,2,5,1,4]=>([(0,6),(1,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7)],8)
[7,6,4,8,2,5,1,3]=>([(0,7),(1,7),(2,6),(3,5),(3,7),(4,5),(4,6)],8)
[7,6,5,8,2,4,1,3]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6)],8)
[8,4,3,7,2,6,1,5]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,5,3,7,2,6,1,4]=>([(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7)],8)
[8,5,4,7,2,6,1,3]=>([(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,4,7,3,6,1,2]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5)],8)
[8,6,3,7,2,5,1,4]=>([(1,7),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7)],8)
[8,6,4,7,2,5,1,3]=>([(1,6),(2,5),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,4,7,3,5,1,2]=>([(1,7),(2,6),(3,6),(3,7),(4,5)],8)
[8,6,5,7,2,4,1,3]=>([(1,6),(2,6),(3,7),(4,5),(4,7)],8)
[8,7,3,6,2,5,1,4]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,7,4,6,2,5,1,3]=>([(2,6),(3,6),(3,7),(4,5),(4,7)],8)
[8,7,4,6,3,5,1,2]=>([(2,7),(3,6),(4,5),(4,7)],8)
[8,7,5,6,2,4,1,3]=>([(2,7),(3,6),(4,5),(4,7)],8)
[6,5,4,3,2,8,1,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,5,4,2,8,1,3]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(5,7)],8)
[8,5,4,3,2,7,1,6]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,5,3,2,7,1,4]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,4,3,2,6,1,5]=>([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,5,3,2,6,1,4]=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,5,4,2,6,1,3]=>([(2,7),(3,7),(4,6),(5,6),(5,7)],8)
[8,7,6,3,2,5,1,4]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,6,4,2,5,1,3]=>([(3,7),(4,6),(5,6),(5,7)],8)
[8,7,6,5,2,4,1,3]=>([(4,7),(5,6),(5,7)],8)
[8,1,2,3,4,7,5,6]=>([(1,6),(4,7),(5,2),(6,4),(7,3),(7,5)],8)
[8,1,2,3,6,4,5,7]=>([(1,5),(2,7),(3,7),(4,3),(5,6),(6,2),(6,4)],8)
[8,1,2,3,7,4,5,6]=>([(1,6),(4,5),(5,2),(6,7),(7,3),(7,4)],8)
[7,1,2,3,6,4,8,5]=>([(0,7),(1,4),(3,7),(4,6),(5,2),(5,7),(6,3),(6,5)],8)
[5,1,2,3,8,7,4,6]=>([(0,5),(0,6),(0,7),(1,3),(2,7),(3,4),(4,2),(4,5),(4,6)],8)
[8,1,2,3,6,7,4,5]=>([(1,6),(4,3),(5,2),(6,7),(7,4),(7,5)],8)
[4,1,2,8,3,7,5,6]=>([(0,5),(0,6),(0,7),(1,4),(3,5),(3,7),(4,3),(4,6),(7,2)],8)
[8,1,2,5,3,4,6,7]=>([(1,6),(2,7),(3,7),(5,3),(6,2),(6,5),(7,4)],8)
[7,1,2,5,3,4,8,6]=>([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,3),(5,2),(5,4)],8)
[8,1,2,6,3,4,5,7]=>([(1,6),(2,7),(3,7),(4,5),(5,3),(6,2),(6,4)],8)
[7,1,2,6,3,4,8,5]=>([(0,7),(1,6),(3,7),(4,5),(5,2),(5,7),(6,3),(6,4)],8)
[6,1,2,5,3,8,4,7]=>([(0,6),(0,7),(1,5),(2,6),(3,6),(3,7),(4,2),(4,7),(5,3),(5,4)],8)
[8,1,2,5,3,7,4,6]=>([(1,5),(2,6),(3,6),(3,7),(4,2),(4,7),(5,3),(5,4)],8)
[8,1,2,6,3,7,4,5]=>([(1,6),(3,7),(4,2),(5,4),(5,7),(6,3),(6,5)],8)
[6,1,2,5,3,7,8,4]=>([(0,7),(1,6),(3,7),(5,2),(5,7),(6,3),(6,5),(7,4)],8)
[4,1,2,8,6,3,5,7]=>([(0,3),(1,5),(1,6),(1,7),(2,7),(3,2),(3,5),(3,6),(6,4),(7,4)],8)
[4,1,2,8,7,3,5,6]=>([(0,5),(0,6),(0,7),(1,4),(3,7),(4,3),(4,5),(4,6),(7,2)],8)
[4,1,2,7,6,3,8,5]=>([(0,3),(1,4),(1,5),(1,6),(2,6),(2,7),(3,2),(3,4),(3,5),(4,7),(5,7)],8)
[8,1,2,5,6,3,4,7]=>([(1,6),(2,7),(3,7),(4,3),(5,2),(6,4),(6,5)],8)
[8,1,2,5,7,3,4,6]=>([(1,6),(3,7),(4,3),(5,2),(5,7),(6,4),(6,5)],8)
[8,1,2,7,6,3,4,5]=>([(1,7),(5,6),(6,4),(7,2),(7,3),(7,5)],8)
[7,1,2,5,6,3,8,4]=>([(0,7),(1,6),(3,7),(4,3),(5,2),(5,7),(6,4),(6,5)],8)
[4,1,2,5,8,7,3,6]=>([(0,7),(1,5),(4,6),(5,4),(5,7),(7,2),(7,3),(7,6)],8)
[4,1,2,8,6,7,3,5]=>([(0,5),(0,6),(0,7),(1,4),(3,5),(4,3),(4,6),(4,7),(7,2)],8)
[8,1,2,5,6,7,3,4]=>([(1,7),(4,5),(5,2),(6,3),(7,4),(7,6)],8)
[3,1,8,2,4,7,5,6]=>([(0,6),(0,7),(1,4),(1,6),(4,7),(5,3),(7,2),(7,5)],8)
[3,1,8,2,6,4,5,7]=>([(0,3),(0,6),(1,4),(1,6),(1,7),(2,5),(3,4),(3,7),(4,2),(7,5)],8)
[3,1,8,2,7,4,5,6]=>([(0,5),(0,6),(0,7),(1,3),(1,7),(3,5),(3,6),(4,2),(6,4)],8)
[3,1,7,2,6,4,8,5]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(4,7),(5,2),(5,7),(6,7)],8)
[3,1,5,2,8,7,4,6]=>([(0,2),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(6,3),(7,3),(7,4),(7,5)],8)
[3,1,8,2,6,7,4,5]=>([(0,5),(0,6),(0,7),(1,2),(1,5),(2,6),(2,7),(6,4),(7,3)],8)
[8,1,4,2,3,5,6,7]=>([(1,4),(1,5),(3,7),(4,7),(5,3),(6,2),(7,6)],8)
[7,1,4,2,3,5,8,6]=>([(0,6),(1,4),(1,5),(3,7),(4,7),(5,3),(7,2),(7,6)],8)
[6,1,4,2,3,8,5,7]=>([(0,6),(0,7),(1,3),(1,4),(2,5),(2,7),(3,5),(3,7),(4,2),(5,6)],8)
[8,1,4,2,3,7,5,6]=>([(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3),(7,2)],8)
[6,1,4,2,3,7,8,5]=>([(0,7),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3),(7,2)],8)
[8,1,5,2,3,4,6,7]=>([(1,3),(1,6),(2,7),(3,7),(5,2),(6,5),(7,4)],8)
[7,1,5,2,3,4,8,6]=>([(0,7),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(4,2),(5,4)],8)
[8,1,7,2,3,4,5,6]=>([(1,3),(1,7),(4,6),(5,4),(6,2),(7,5)],8)
[6,1,5,2,3,8,4,7]=>([(0,6),(0,7),(1,3),(1,4),(2,6),(3,6),(3,7),(4,5),(5,2),(5,7)],8)
[8,1,5,2,3,7,4,6]=>([(1,3),(1,4),(2,6),(3,6),(3,7),(4,5),(5,2),(5,7)],8)
[6,1,8,2,3,7,4,5]=>([(0,6),(0,7),(1,4),(1,7),(3,2),(4,5),(5,3),(5,6)],8)
[6,1,5,2,3,7,8,4]=>([(0,7),(1,3),(1,5),(3,7),(5,6),(6,2),(6,7),(7,4)],8)
[5,1,4,2,8,3,6,7]=>([(0,6),(0,7),(1,4),(1,5),(3,7),(4,6),(4,7),(5,3),(5,6),(7,2)],8)
[5,1,4,2,7,3,8,6]=>([(0,6),(0,7),(1,2),(1,4),(2,6),(2,7),(3,5),(3,6),(4,3),(4,7),(7,5)],8)
[8,1,4,2,6,3,5,7]=>([(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6),(5,7),(6,7)],8)
[8,1,4,2,7,3,5,6]=>([(1,4),(1,5),(3,7),(4,6),(4,7),(5,3),(5,6),(7,2)],8)
[7,1,4,2,6,3,8,5]=>([(0,7),(1,3),(1,4),(2,5),(2,7),(3,5),(3,6),(4,2),(4,6),(6,7)],8)
[8,1,5,2,6,3,4,7]=>([(1,3),(1,5),(2,7),(3,6),(4,2),(5,4),(5,6),(6,7)],8)
[8,1,5,2,7,3,4,6]=>([(1,3),(1,5),(2,6),(3,6),(3,7),(4,2),(5,4),(5,7)],8)
[7,1,8,2,6,3,4,5]=>([(0,7),(1,6),(1,7),(4,5),(5,3),(6,2),(6,4)],8)
[7,1,5,2,6,3,8,4]=>([(0,7),(1,3),(1,5),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7)],8)
[5,1,4,2,6,8,3,7]=>([(0,7),(1,2),(1,5),(2,7),(4,6),(5,4),(5,7),(7,3),(7,6)],8)
[5,1,4,2,8,7,3,6]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(2,5),(3,5),(3,6),(3,7),(4,2),(4,6),(4,7)],8)
[8,1,4,2,6,7,3,5]=>([(1,4),(1,5),(3,6),(4,6),(4,7),(5,3),(5,7),(7,2)],8)
[8,1,5,2,6,7,3,4]=>([(1,3),(1,6),(3,7),(5,2),(6,5),(6,7),(7,4)],8)
[5,1,4,2,6,7,8,3]=>([(0,7),(1,4),(1,5),(4,7),(5,3),(5,7),(6,2),(7,6)],8)
[3,1,4,8,2,7,5,6]=>([(0,7),(1,3),(1,7),(3,5),(3,6),(6,4),(7,2),(7,5),(7,6)],8)
[3,1,8,5,2,4,6,7]=>([(0,3),(0,5),(0,7),(1,5),(1,6),(1,7),(3,6),(4,2),(6,4),(7,4)],8)
[3,1,7,5,2,4,8,6]=>([(0,2),(0,4),(0,6),(1,4),(1,5),(1,6),(2,5),(4,7),(5,3),(5,7),(6,3),(6,7)],8)
[3,1,8,6,2,4,5,7]=>([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(2,5),(3,4),(4,2),(7,5)],8)
[3,1,7,6,2,4,8,5]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(4,2),(4,7),(5,7),(6,7)],8)
[3,1,6,5,2,8,4,7]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,8,5,2,7,4,6]=>([(0,2),(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(6,3),(7,3),(7,4)],8)
[3,1,8,6,2,7,4,5]=>([(0,3),(0,6),(0,7),(1,5),(1,6),(1,7),(3,4),(3,5),(5,2),(7,4)],8)
[3,1,6,5,2,7,8,4]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(3,7),(5,7),(6,7),(7,2)],8)
[8,1,4,5,2,3,6,7]=>([(1,5),(1,6),(2,7),(3,7),(5,3),(6,2),(7,4)],8)
[7,1,4,5,2,3,8,6]=>([(0,7),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,3),(5,2)],8)
[8,1,4,6,2,3,5,7]=>([(1,4),(1,5),(2,7),(3,6),(4,3),(5,2),(5,6),(6,7)],8)
[7,1,4,8,2,3,5,6]=>([(0,6),(1,4),(1,5),(3,7),(4,6),(4,7),(5,3),(7,2)],8)
[7,1,4,6,2,3,8,5]=>([(0,7),(1,4),(1,5),(2,7),(3,6),(3,7),(4,3),(5,2),(5,6)],8)
[8,1,6,5,2,3,4,7]=>([(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(5,2),(6,5)],8)
[7,1,8,5,2,3,4,6]=>([(0,7),(1,3),(1,5),(1,7),(2,6),(3,6),(4,2),(5,4)],8)
[7,1,8,6,2,3,4,5]=>([(0,7),(1,3),(1,6),(1,7),(4,5),(5,2),(6,4)],8)
[7,1,6,5,2,3,8,4]=>([(0,7),(1,3),(1,4),(1,5),(3,7),(4,7),(5,6),(6,2),(6,7)],8)
[6,1,4,5,2,8,3,7]=>([(0,6),(0,7),(1,4),(1,5),(2,6),(3,6),(3,7),(4,3),(5,2),(5,7)],8)
[8,1,4,5,2,7,3,6]=>([(1,4),(1,5),(2,6),(3,6),(3,7),(4,3),(5,2),(5,7)],8)
[8,1,4,6,2,7,3,5]=>([(1,4),(1,5),(2,7),(3,6),(4,3),(4,7),(5,2),(5,6)],8)
[8,1,6,5,2,7,3,4]=>([(1,3),(1,4),(1,6),(3,7),(4,7),(5,2),(6,5),(6,7)],8)
[6,1,4,5,2,7,8,3]=>([(0,7),(1,5),(1,6),(3,7),(5,3),(6,2),(6,7),(7,4)],8)
[3,1,4,8,6,2,5,7]=>([(0,7),(1,4),(1,7),(3,6),(4,5),(5,6),(7,2),(7,3),(7,5)],8)
[3,1,4,8,7,2,5,6]=>([(0,7),(1,4),(1,7),(4,6),(6,5),(7,2),(7,3),(7,6)],8)
[3,1,4,7,6,2,8,5]=>([(0,6),(1,4),(1,6),(2,7),(3,7),(4,5),(4,7),(6,2),(6,3),(6,5)],8)
[3,1,8,5,6,2,4,7]=>([(0,3),(0,5),(0,6),(1,5),(1,6),(1,7),(2,4),(3,7),(6,2),(7,4)],8)
[3,1,8,5,7,2,4,6]=>([(0,3),(0,5),(0,7),(1,5),(1,6),(1,7),(3,6),(6,4),(7,2),(7,4)],8)
[3,1,8,7,6,2,4,5]=>([(0,3),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(3,4),(4,2)],8)
[3,1,7,5,6,2,8,4]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(3,4),(3,7),(5,7),(6,2)],8)
[8,1,4,5,6,2,3,7]=>([(1,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[8,1,4,5,7,2,3,6]=>([(1,4),(1,5),(3,7),(4,6),(5,3),(6,2),(6,7)],8)
[8,1,4,7,6,2,3,5]=>([(1,5),(1,6),(4,7),(5,4),(6,2),(6,3),(6,7)],8)
[8,1,7,5,6,2,3,4]=>([(1,4),(1,6),(1,7),(5,2),(6,3),(7,5)],8)
[7,1,4,5,6,2,8,3]=>([(0,7),(1,5),(1,6),(3,7),(4,3),(5,4),(6,2),(6,7)],8)
[3,1,4,5,8,7,2,6]=>([(0,7),(1,4),(1,7),(4,6),(5,2),(5,3),(5,6),(7,5)],8)
[3,1,4,8,6,7,2,5]=>([(0,7),(1,4),(1,7),(4,6),(5,3),(7,2),(7,5),(7,6)],8)
[3,1,8,5,6,7,2,4]=>([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(3,5),(4,2),(7,4)],8)
[8,1,4,5,6,7,2,3]=>([(1,6),(1,7),(4,5),(5,3),(6,4),(7,2)],8)
[2,8,1,3,4,7,5,6]=>([(0,7),(1,4),(1,7),(5,3),(6,2),(6,5),(7,6)],8)
[2,8,1,3,6,4,5,7]=>([(0,7),(1,2),(1,7),(3,6),(4,6),(5,4),(7,3),(7,5)],8)
[2,8,1,3,7,4,5,6]=>([(0,7),(1,3),(1,7),(5,2),(6,5),(7,4),(7,6)],8)
[2,7,1,3,6,4,8,5]=>([(0,6),(1,3),(1,6),(3,7),(4,7),(5,2),(5,7),(6,4),(6,5)],8)
[2,5,1,3,8,7,4,6]=>([(0,7),(1,3),(1,7),(2,6),(3,4),(3,5),(3,6),(7,2),(7,4),(7,5)],8)
[2,8,1,3,6,7,4,5]=>([(0,7),(1,4),(1,7),(5,3),(6,2),(7,5),(7,6)],8)
[2,4,1,8,3,7,5,6]=>([(0,3),(0,7),(1,5),(1,7),(3,4),(3,5),(3,6),(6,2),(7,4),(7,6)],8)
[2,8,1,5,3,4,6,7]=>([(0,5),(0,7),(1,2),(1,5),(1,7),(3,6),(5,6),(6,4),(7,3)],8)
[2,7,1,5,3,4,8,6]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,7),(3,4),(3,7),(5,3),(6,4),(6,7)],8)
[2,8,1,6,3,4,5,7]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(2,5),(4,2),(6,5),(7,4)],8)
[2,7,1,6,3,4,8,5]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,7),(4,2),(4,7),(5,4),(6,7)],8)
[2,6,1,5,3,8,4,7]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,6)],8)
[2,8,1,5,3,7,4,6]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(3,5),(6,3),(6,4),(7,4),(7,5)],8)
[2,6,1,5,3,7,8,4]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,7),(5,7),(6,2),(6,7),(7,4)],8)
[2,4,1,8,6,3,5,7]=>([(0,2),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,5)],8)
[2,4,1,8,7,3,5,6]=>([(0,3),(0,7),(1,4),(1,5),(1,7),(3,4),(3,5),(3,6),(6,2),(7,6)],8)
[2,4,1,7,6,3,8,5]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(4,7),(5,7),(6,3),(6,7)],8)
[2,8,1,5,6,3,4,7]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(3,5),(4,5),(6,4),(7,3)],8)
[2,8,1,5,7,3,4,6]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(4,5),(6,4),(7,3),(7,5)],8)
[2,8,1,7,6,3,4,5]=>([(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(4,2),(7,4)],8)
[2,7,1,5,6,3,8,4]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,7),(4,7),(5,4),(6,3),(6,7)],8)
[2,4,1,5,8,7,3,6]=>([(0,6),(0,7),(1,4),(1,6),(4,7),(6,5),(7,2),(7,3),(7,5)],8)
[2,4,1,8,6,7,3,5]=>([(0,3),(0,7),(1,5),(1,6),(1,7),(3,4),(3,5),(3,6),(6,2),(7,4)],8)
[2,8,1,5,6,7,3,4]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(5,3),(6,5),(7,2)],8)
[7,3,1,2,4,5,8,6]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(4,6),(7,4)],8)
[6,3,1,2,4,8,5,7]=>([(0,7),(1,5),(1,6),(2,3),(3,7),(4,6),(7,4),(7,5)],8)
[8,3,1,2,4,7,5,6]=>([(1,7),(2,4),(4,7),(6,3),(7,5),(7,6)],8)
[6,3,1,2,4,7,8,5]=>([(0,7),(1,6),(2,3),(3,7),(6,5),(7,4),(7,6)],8)
[5,3,1,2,8,4,6,7]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(3,6),(3,7),(5,4),(6,5)],8)
[5,3,1,2,7,4,8,6]=>([(0,6),(0,7),(1,4),(1,7),(2,3),(3,6),(3,7),(6,4),(6,5),(7,5)],8)
[8,3,1,2,6,4,5,7]=>([(1,5),(1,7),(2,4),(3,6),(4,5),(4,7),(5,6),(7,3)],8)
[8,3,1,2,7,4,5,6]=>([(1,6),(1,7),(2,4),(3,5),(4,6),(4,7),(7,3)],8)
[7,3,1,2,6,4,8,5]=>([(0,7),(1,5),(1,6),(2,4),(4,5),(4,6),(5,7),(6,3),(6,7)],8)
[5,3,1,2,6,8,4,7]=>([(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(6,5),(7,4),(7,5)],8)
[5,3,1,2,8,7,4,6]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(3,5),(3,6),(3,7),(5,4)],8)
[8,3,1,2,6,7,4,5]=>([(1,6),(1,7),(2,3),(3,6),(3,7),(6,5),(7,4)],8)
[5,3,1,2,6,7,8,4]=>([(0,7),(1,6),(1,7),(2,4),(3,5),(4,6),(4,7),(7,3)],8)
[7,4,1,2,3,5,8,6]=>([(0,7),(1,6),(2,4),(4,5),(5,7),(7,3),(7,6)],8)
[6,4,1,2,3,8,5,7]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(3,4),(4,5),(4,7),(5,6)],8)
[8,4,1,2,3,7,5,6]=>([(1,6),(1,7),(2,4),(4,5),(5,6),(5,7),(7,3)],8)
[6,4,1,2,3,7,8,5]=>([(0,7),(1,6),(1,7),(2,3),(3,5),(5,6),(5,7),(7,4)],8)
[7,6,1,2,3,4,8,5]=>([(0,7),(1,7),(2,5),(4,6),(5,4),(6,3),(6,7)],8)
[5,8,1,2,3,7,4,6]=>([(0,5),(1,3),(1,6),(1,7),(2,6),(4,2),(4,7),(5,4)],8)
[8,6,1,2,3,7,4,5]=>([(1,7),(2,5),(4,3),(5,6),(6,4),(6,7)],8)
[5,4,1,2,8,3,6,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,5),(3,7),(5,6),(6,4)],8)
[5,4,1,2,7,3,8,6]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,4),(3,7),(4,5),(4,6),(7,5)],8)
[8,4,1,2,6,3,5,7]=>([(1,5),(1,7),(2,3),(3,4),(3,7),(4,5),(5,6),(7,6)],8)
[8,4,1,2,7,3,5,6]=>([(1,6),(1,7),(2,3),(3,5),(3,7),(5,6),(6,4)],8)
[7,4,1,2,6,3,8,5]=>([(0,7),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5),(4,7),(6,7)],8)
[5,8,1,2,6,3,4,7]=>([(0,5),(1,3),(1,7),(2,6),(4,2),(5,4),(5,7),(7,6)],8)
[5,8,1,2,7,3,4,6]=>([(0,5),(1,3),(1,6),(1,7),(2,6),(4,2),(5,4),(5,7)],8)
[8,7,1,2,6,3,4,5]=>([(2,7),(5,6),(6,4),(7,3),(7,5)],8)
[5,7,1,2,6,3,8,4]=>([(0,5),(1,3),(1,6),(3,7),(4,2),(4,7),(5,4),(5,6),(6,7)],8)
[5,4,1,2,6,8,3,7]=>([(0,7),(1,7),(2,3),(3,5),(3,7),(5,6),(7,4),(7,6)],8)
[5,4,1,2,8,7,3,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(3,6),(3,7),(4,5)],8)
[8,4,1,2,6,7,3,5]=>([(1,6),(1,7),(2,4),(4,5),(4,7),(5,6),(7,3)],8)
[5,8,1,2,6,7,3,4]=>([(0,6),(1,4),(1,7),(5,2),(6,5),(6,7),(7,3)],8)
[5,4,1,2,6,7,8,3]=>([(0,7),(1,7),(2,5),(5,4),(5,7),(6,3),(7,6)],8)
[4,3,1,8,2,5,6,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(3,7),(4,5),(7,4)],8)
[4,3,1,7,2,5,8,6]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(3,7),(6,5),(7,4),(7,5)],8)
[4,3,1,6,2,8,5,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(3,5),(3,7),(6,4),(6,5),(7,4)],8)
[4,3,1,8,2,7,5,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(7,3)],8)
[4,3,1,6,2,7,8,5]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(3,5),(3,7),(5,4),(6,5)],8)
[8,3,1,5,2,4,6,7]=>([(1,5),(1,7),(2,4),(2,5),(4,7),(5,6),(6,3),(7,6)],8)
[7,3,1,5,2,4,8,6]=>([(0,7),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(4,7),(6,5),(6,7)],8)
[8,3,1,6,2,4,5,7]=>([(1,5),(1,7),(2,3),(2,5),(3,7),(4,6),(5,6),(7,4)],8)
[7,3,1,8,2,4,5,6]=>([(0,7),(1,6),(1,7),(2,3),(2,7),(3,6),(4,5),(6,4)],8)
[7,3,1,6,2,4,8,5]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(3,6),(5,7),(6,4),(6,7)],8)
[6,3,1,5,2,8,4,7]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
[8,3,1,5,2,7,4,6]=>([(1,3),(1,7),(2,6),(2,7),(3,5),(3,6),(6,4),(7,4),(7,5)],8)
[8,3,1,6,2,7,4,5]=>([(1,5),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(7,3)],8)
[6,3,1,5,2,7,8,4]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(3,6),(3,7),(5,7),(7,4)],8)
[8,4,1,5,2,3,6,7]=>([(1,6),(2,4),(2,6),(4,5),(5,7),(6,7),(7,3)],8)
[7,4,1,5,2,3,8,6]=>([(0,7),(1,5),(2,3),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,1,6,2,3,5,7]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(4,6),(5,7),(6,7)],8)
[7,4,1,8,2,3,5,6]=>([(0,7),(1,6),(1,7),(2,3),(2,7),(3,5),(5,6),(6,4)],8)
[7,4,1,6,2,3,8,5]=>([(0,7),(1,5),(1,6),(2,3),(2,6),(3,4),(4,5),(4,7),(6,7)],8)
[6,8,1,5,2,3,4,7]=>([(0,4),(0,7),(1,3),(1,6),(2,7),(3,7),(5,2),(6,5)],8)
[8,7,1,5,2,3,4,6]=>([(2,4),(2,6),(3,7),(4,7),(5,3),(6,5)],8)
[8,7,1,6,2,3,4,5]=>([(2,4),(2,7),(5,6),(6,3),(7,5)],8)
[6,7,1,5,2,3,8,4]=>([(0,4),(1,3),(1,5),(3,7),(4,7),(5,6),(6,2),(6,7)],8)
[6,4,1,5,2,8,3,7]=>([(0,6),(0,7),(1,5),(2,3),(2,5),(3,4),(3,7),(4,6),(5,6),(5,7)],8)
[8,4,1,5,2,7,3,6]=>([(1,5),(2,3),(2,5),(3,4),(3,7),(4,6),(5,6),(5,7)],8)
[8,4,1,6,2,7,3,5]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,7),(4,6),(5,7)],8)
[6,8,1,5,2,7,3,4]=>([(0,4),(0,7),(1,3),(1,6),(3,7),(5,2),(6,5),(6,7)],8)
[6,4,1,5,2,7,8,3]=>([(0,7),(1,6),(2,3),(2,6),(3,5),(3,7),(6,7),(7,4)],8)
[4,3,1,5,8,2,6,7]=>([(0,7),(1,7),(2,4),(2,7),(4,6),(6,5),(7,3),(7,6)],8)
[4,3,1,5,7,2,8,6]=>([(0,7),(1,7),(2,4),(2,7),(3,6),(4,5),(4,6),(7,3),(7,5)],8)
[4,3,1,8,6,2,5,7]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,7),(6,4),(7,4)],8)
[4,3,1,8,7,2,5,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,7),(7,4)],8)
[4,3,1,7,6,2,8,5]=>([(0,3),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(6,4),(7,4)],8)
[8,3,1,5,6,2,4,7]=>([(1,5),(1,6),(2,4),(2,5),(3,7),(4,6),(5,3),(6,7)],8)
[8,3,1,5,7,2,4,6]=>([(1,6),(1,7),(2,4),(2,6),(4,7),(6,3),(6,5),(7,5)],8)
[8,3,1,7,6,2,4,5]=>([(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,7),(7,4)],8)
[7,3,1,5,6,2,8,4]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(3,6),(3,7),(4,7),(5,4)],8)
[8,4,1,5,6,2,3,7]=>([(1,6),(2,3),(2,6),(3,5),(4,7),(5,7),(6,4)],8)
[8,4,1,5,7,2,3,6]=>([(1,7),(2,4),(2,7),(4,5),(5,6),(7,3),(7,6)],8)
[8,4,1,7,6,2,3,5]=>([(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(4,7)],8)
[7,8,1,5,6,2,3,4]=>([(0,4),(1,6),(1,7),(5,2),(6,3),(7,5)],8)
[7,4,1,5,6,2,8,3]=>([(0,7),(1,6),(2,3),(2,6),(3,5),(3,7),(4,7),(6,4)],8)
[4,3,1,5,6,8,2,7]=>([(0,7),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(7,4)],8)
[4,3,1,5,8,7,2,6]=>([(0,7),(1,7),(2,5),(2,7),(5,6),(7,3),(7,4),(7,6)],8)
[4,3,1,8,6,7,2,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(4,7),(6,3)],8)
[8,3,1,5,6,7,2,4]=>([(1,6),(1,7),(2,3),(2,6),(3,7),(4,5),(6,4)],8)
[8,4,1,5,6,7,2,3]=>([(1,7),(2,5),(2,7),(5,4),(6,3),(7,6)],8)
[4,3,1,5,6,7,8,2]=>([(0,7),(1,7),(2,4),(2,7),(5,3),(6,5),(7,6)],8)
[2,3,8,1,4,7,5,6]=>([(0,7),(1,5),(5,3),(5,7),(6,2),(7,4),(7,6)],8)
[2,3,8,1,6,4,5,7]=>([(0,6),(0,7),(1,4),(3,5),(4,2),(4,6),(4,7),(6,5),(7,3)],8)
[2,3,8,1,7,4,5,6]=>([(0,6),(0,7),(1,4),(4,3),(4,6),(4,7),(5,2),(7,5)],8)
[2,3,7,1,6,4,8,5]=>([(0,5),(0,6),(1,4),(3,7),(4,3),(4,5),(4,6),(5,7),(6,2),(6,7)],8)
[2,3,5,1,8,7,4,6]=>([(0,2),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(3,6),(7,4)],8)
[2,3,8,1,6,7,4,5]=>([(0,6),(0,7),(1,5),(5,2),(5,6),(5,7),(6,4),(7,3)],8)
[2,8,4,1,3,5,6,7]=>([(0,7),(1,3),(1,4),(1,7),(4,6),(5,2),(6,5),(7,6)],8)
[2,7,4,1,3,5,8,6]=>([(0,6),(1,3),(1,4),(1,6),(3,7),(4,5),(6,7),(7,2),(7,5)],8)
[2,6,4,1,3,8,5,7]=>([(0,6),(1,2),(1,3),(1,6),(2,5),(2,7),(3,4),(3,7),(5,4),(6,5),(6,7)],8)
[2,8,4,1,3,7,5,6]=>([(0,6),(1,3),(1,4),(1,6),(4,5),(4,7),(6,5),(6,7),(7,2)],8)
[2,6,4,1,3,7,8,5]=>([(0,6),(1,2),(1,4),(1,6),(2,7),(4,5),(4,7),(6,5),(6,7),(7,3)],8)
[2,8,5,1,3,4,6,7]=>([(0,7),(1,2),(1,4),(1,7),(3,6),(4,6),(6,5),(7,3)],8)
[2,7,5,1,3,4,8,6]=>([(0,6),(1,2),(1,4),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(6,3)],8)
[2,8,7,1,3,4,5,6]=>([(0,7),(1,3),(1,4),(1,7),(5,2),(6,5),(7,6)],8)
[2,6,5,1,3,8,4,7]=>([(0,5),(1,2),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(5,4),(5,7)],8)
[2,8,5,1,3,7,4,6]=>([(0,7),(1,2),(1,4),(1,7),(3,5),(4,5),(4,6),(7,3),(7,6)],8)
[2,6,8,1,3,7,4,5]=>([(0,7),(1,5),(1,7),(4,3),(5,2),(5,6),(7,4),(7,6)],8)
[2,6,5,1,3,7,8,4]=>([(0,6),(1,2),(1,3),(1,6),(2,7),(3,7),(6,5),(6,7),(7,4)],8)
[2,5,4,1,8,3,6,7]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,7),(7,2)],8)
[2,5,4,1,7,3,8,6]=>([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(6,5)],8)
[2,8,4,1,6,3,5,7]=>([(0,2),(0,3),(0,7),(1,6),(1,7),(3,5),(3,6),(5,4),(6,4),(7,5)],8)
[2,8,4,1,7,3,5,6]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(4,5),(4,7),(6,7),(7,2)],8)
[2,7,4,1,6,3,8,5]=>([(0,2),(0,3),(0,6),(1,5),(1,6),(2,7),(3,4),(3,5),(5,7),(6,4),(6,7)],8)
[2,8,5,1,6,3,4,7]=>([(0,6),(0,7),(1,2),(1,3),(1,7),(3,6),(4,5),(6,5),(7,4)],8)
[2,8,5,1,7,3,4,6]=>([(0,6),(0,7),(1,2),(1,4),(1,7),(3,5),(4,5),(4,6),(7,3)],8)
[2,7,8,1,6,3,4,5]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(4,3),(5,2),(7,5)],8)
[2,7,5,1,6,3,8,4]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(3,7),(4,5),(5,7),(6,2),(6,7)],8)
[2,5,4,1,6,8,3,7]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(6,5),(7,4),(7,5)],8)
[2,5,4,1,8,7,3,6]=>([(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7)],8)
[2,8,4,1,6,7,3,5]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(4,5),(4,7),(6,5),(7,2)],8)
[2,8,5,1,6,7,3,4]=>([(0,6),(0,7),(1,2),(1,3),(1,7),(3,6),(6,4),(7,5)],8)
[2,5,4,1,6,7,8,3]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(3,7),(4,7),(5,2),(7,5)],8)
[7,3,4,1,2,5,8,6]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(7,5),(7,6)],8)
[6,3,4,1,2,8,5,7]=>([(0,5),(0,7),(1,4),(2,3),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[8,3,4,1,2,7,5,6]=>([(1,5),(2,4),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[6,3,4,1,2,7,8,5]=>([(0,7),(1,5),(2,4),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[7,3,5,1,2,4,8,6]=>([(0,7),(1,4),(2,3),(2,5),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[6,3,7,1,2,4,8,5]=>([(0,5),(1,5),(1,7),(2,3),(3,7),(5,6),(7,4),(7,6)],8)
[6,3,5,1,2,8,4,7]=>([(0,6),(0,7),(1,4),(2,3),(2,5),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
[8,3,5,1,2,7,4,6]=>([(1,4),(2,3),(2,5),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
[6,3,8,1,2,7,4,5]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(4,6),(4,7),(6,3)],8)
[6,3,5,1,2,7,8,4]=>([(0,7),(1,5),(2,3),(2,6),(3,7),(5,6),(5,7),(7,4)],8)
[7,5,4,1,2,3,8,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)
[6,8,4,1,2,3,5,7]=>([(0,6),(1,4),(2,3),(2,7),(4,5),(5,6),(6,7)],8)
[6,7,4,1,2,3,8,5]=>([(0,6),(0,7),(1,3),(2,4),(3,5),(4,7),(5,6),(5,7)],8)
[6,8,5,1,2,3,4,7]=>([(0,7),(1,6),(2,4),(2,7),(3,7),(5,3),(6,5)],8)
[6,7,5,1,2,3,8,4]=>([(0,7),(1,6),(2,4),(4,7),(5,3),(5,7),(6,5)],8)
[6,5,4,1,2,8,3,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(4,7),(5,6)],8)
[8,5,4,1,2,7,3,6]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(4,7),(5,6)],8)
[6,8,4,1,2,7,3,5]=>([(0,6),(0,7),(1,4),(2,3),(2,7),(4,5),(4,7),(5,6)],8)
[6,8,5,1,2,7,3,4]=>([(0,7),(1,6),(2,4),(2,7),(5,3),(6,5),(6,7)],8)
[6,5,4,1,2,7,8,3]=>([(0,7),(1,7),(2,7),(3,4),(4,6),(4,7),(7,5)],8)
[5,3,4,1,8,2,6,7]=>([(0,6),(0,7),(1,5),(2,3),(2,6),(3,7),(5,6),(5,7),(7,4)],8)
[5,3,4,1,7,2,8,6]=>([(0,6),(0,7),(1,3),(2,4),(2,6),(3,6),(3,7),(4,5),(4,7),(6,5)],8)
[8,3,4,1,6,2,5,7]=>([(1,4),(2,3),(2,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[8,3,4,1,7,2,5,6]=>([(1,5),(2,3),(2,6),(3,7),(5,6),(5,7),(7,4)],8)
[7,3,4,1,6,2,8,5]=>([(0,7),(1,4),(2,3),(2,5),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[8,3,5,1,6,2,4,7]=>([(1,4),(1,7),(2,3),(2,6),(3,7),(4,6),(6,5),(7,5)],8)
[8,3,5,1,7,2,4,6]=>([(1,3),(1,5),(2,4),(2,6),(3,6),(4,5),(4,7),(6,7)],8)
[7,3,8,1,6,2,4,5]=>([(0,5),(1,5),(1,6),(1,7),(2,3),(2,6),(3,7),(7,4)],8)
[7,3,5,1,6,2,8,4]=>([(0,7),(1,3),(1,5),(2,4),(2,6),(3,6),(4,5),(4,7),(6,7)],8)
[8,5,4,1,6,2,3,7]=>([(1,7),(2,7),(3,4),(3,7),(4,5),(5,6),(7,6)],8)
[8,5,4,1,7,2,3,6]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(5,7)],8)
[7,8,4,1,6,2,3,5]=>([(0,6),(0,7),(1,3),(2,4),(2,6),(4,5),(5,7)],8)
[7,8,5,1,6,2,3,4]=>([(0,7),(1,4),(2,6),(2,7),(5,3),(6,5)],8)
[7,5,4,1,6,2,8,3]=>([(0,7),(1,6),(2,6),(3,4),(3,6),(4,5),(4,7),(6,7)],8)
[5,3,4,1,6,8,2,7]=>([(0,7),(1,3),(2,5),(2,7),(3,7),(5,6),(7,4),(7,6)],8)
[5,3,4,1,8,7,2,6]=>([(0,5),(0,6),(0,7),(1,4),(2,3),(2,5),(2,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,3,4,1,6,7,2,5]=>([(1,4),(2,3),(2,6),(3,7),(4,6),(4,7),(6,5)],8)
[8,3,5,1,6,7,2,4]=>([(1,5),(1,7),(2,3),(2,6),(3,7),(5,6),(7,4)],8)
[8,5,4,1,6,7,2,3]=>([(1,7),(2,7),(3,4),(3,7),(4,6),(7,5)],8)
[5,3,4,1,6,7,8,2]=>([(0,7),(1,5),(2,4),(2,7),(5,7),(6,3),(7,6)],8)
[2,3,4,8,1,7,5,6]=>([(0,6),(0,7),(1,4),(4,5),(5,2),(5,6),(5,7),(7,3)],8)
[2,3,8,5,1,4,6,7]=>([(0,6),(1,5),(4,7),(5,3),(5,4),(5,6),(6,7),(7,2)],8)
[2,3,7,5,1,4,8,6]=>([(0,6),(1,4),(2,7),(3,5),(3,7),(4,2),(4,3),(4,6),(6,5),(6,7)],8)
[2,3,8,6,1,4,5,7]=>([(0,7),(1,5),(3,6),(4,6),(5,2),(5,4),(5,7),(7,3)],8)
[2,3,7,6,1,4,8,5]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(5,3),(5,6),(6,4),(6,7)],8)
[2,3,6,5,1,8,4,7]=>([(0,5),(0,7),(1,4),(2,6),(2,7),(3,6),(3,7),(4,2),(4,3),(4,5),(5,6)],8)
[2,3,8,5,1,7,4,6]=>([(0,6),(0,7),(1,4),(3,5),(3,6),(4,2),(4,3),(4,7),(7,5)],8)
[2,3,8,6,1,7,4,5]=>([(0,6),(0,7),(1,5),(4,6),(5,3),(5,4),(5,7),(7,2)],8)
[2,3,6,5,1,7,8,4]=>([(0,6),(0,7),(1,5),(2,7),(3,7),(5,2),(5,3),(5,6),(7,4)],8)
[2,8,4,5,1,3,6,7]=>([(0,6),(1,4),(1,5),(1,6),(3,7),(5,3),(6,7),(7,2)],8)
[2,7,4,5,1,3,8,6]=>([(0,6),(1,2),(1,4),(1,6),(2,7),(3,5),(3,7),(4,3),(6,5),(6,7)],8)
[2,8,4,6,1,3,5,7]=>([(0,7),(1,3),(1,4),(1,7),(2,6),(4,2),(4,5),(5,6),(7,5)],8)
[2,7,4,8,1,3,5,6]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(4,7),(6,7),(7,2)],8)
[2,7,4,6,1,3,8,5]=>([(0,6),(1,3),(1,4),(1,6),(2,7),(3,7),(4,2),(4,5),(6,5),(6,7)],8)
[2,8,6,5,1,3,4,7]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(3,7),(4,7),(5,7),(6,5)],8)
[2,7,8,5,1,3,4,6]=>([(0,7),(1,4),(1,5),(1,7),(3,6),(4,6),(5,2),(7,3)],8)
[2,7,8,6,1,3,4,5]=>([(0,7),(1,4),(1,5),(1,7),(5,3),(6,2),(7,6)],8)
[2,7,6,5,1,3,8,4]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(6,5),(6,7)],8)
[2,6,4,5,1,8,3,7]=>([(0,5),(0,7),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,2),(5,6)],8)
[2,8,4,5,1,7,3,6]=>([(0,6),(0,7),(1,2),(1,4),(1,7),(3,5),(3,6),(4,3),(7,5)],8)
[2,8,4,6,1,7,3,5]=>([(0,6),(0,7),(1,2),(1,4),(1,7),(3,6),(4,3),(4,5),(7,5)],8)
[2,8,6,5,1,7,3,4]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(3,7),(4,7),(6,5)],8)
[2,6,4,5,1,7,8,3]=>([(0,6),(0,7),(1,3),(1,5),(1,6),(2,7),(3,7),(5,2),(7,4)],8)
[7,3,4,5,1,2,8,6]=>([(0,7),(1,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,4,6,1,2,8,5]=>([(0,7),(1,3),(2,4),(3,5),(3,6),(4,6),(4,7),(5,7)],8)
[8,3,6,5,1,2,4,7]=>([(1,5),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6),(6,7)],8)
[7,3,8,5,1,2,4,6]=>([(0,5),(1,4),(2,3),(2,5),(2,6),(3,7),(4,6),(6,7)],8)
[7,3,8,6,1,2,4,5]=>([(0,6),(1,4),(2,3),(2,6),(2,7),(4,7),(7,5)],8)
[7,3,6,5,1,2,8,4]=>([(0,7),(1,5),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6),(5,7)],8)
[7,6,4,5,1,2,8,3]=>([(0,7),(1,7),(2,4),(3,5),(4,7),(5,6),(5,7)],8)
[6,3,4,5,1,8,2,7]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(3,7),(4,5),(5,6),(5,7)],8)
[8,3,4,5,1,7,2,6]=>([(1,4),(2,3),(2,6),(3,7),(4,5),(5,6),(5,7)],8)
[8,3,4,6,1,7,2,5]=>([(1,4),(2,3),(2,6),(3,7),(4,5),(4,7),(5,6)],8)
[8,3,6,5,1,7,2,4]=>([(1,5),(1,7),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6)],8)
[8,6,4,5,1,7,2,3]=>([(1,7),(2,5),(3,4),(3,7),(4,6),(5,7)],8)
[6,3,4,5,1,7,8,2]=>([(0,7),(1,6),(2,5),(2,7),(3,7),(6,3),(7,4)],8)
[2,3,4,8,6,1,5,7]=>([(0,7),(1,4),(3,6),(4,5),(5,2),(5,3),(5,7),(7,6)],8)
[2,3,4,8,7,1,5,6]=>([(0,7),(1,5),(5,6),(6,2),(6,3),(6,7),(7,4)],8)
[2,3,4,7,6,1,8,5]=>([(0,6),(0,7),(1,4),(2,7),(3,7),(4,5),(5,2),(5,3),(5,6)],8)
[2,3,8,5,6,1,4,7]=>([(0,7),(1,5),(3,6),(4,3),(5,2),(5,4),(5,7),(7,6)],8)
[2,3,8,5,7,1,4,6]=>([(0,7),(1,5),(4,3),(4,6),(5,2),(5,4),(5,7),(7,6)],8)
[2,3,8,7,6,1,4,5]=>([(0,7),(1,6),(6,2),(6,3),(6,4),(6,7),(7,5)],8)
[2,3,7,5,6,1,8,4]=>([(0,6),(0,7),(1,5),(2,7),(3,7),(4,3),(5,2),(5,4),(5,6)],8)
[2,8,4,5,6,1,3,7]=>([(0,7),(1,2),(1,5),(1,7),(3,6),(4,3),(5,4),(7,6)],8)
[2,8,4,5,7,1,3,6]=>([(0,7),(1,3),(1,4),(1,7),(4,5),(5,2),(5,6),(7,6)],8)
[2,8,4,7,6,1,3,5]=>([(0,7),(1,4),(1,5),(1,7),(5,2),(5,3),(5,6),(7,6)],8)
[2,8,7,5,6,1,3,4]=>([(0,7),(1,3),(1,4),(1,6),(1,7),(6,2),(7,5)],8)
[2,7,4,5,6,1,8,3]=>([(0,6),(0,7),(1,3),(1,5),(1,6),(2,7),(3,7),(4,2),(5,4)],8)
[8,3,4,5,7,1,2,6]=>([(1,6),(2,4),(4,7),(5,3),(5,7),(6,5)],8)
[8,3,4,7,6,1,2,5]=>([(1,5),(2,6),(5,7),(6,3),(6,4),(6,7)],8)
[8,3,7,5,6,1,2,4]=>([(1,5),(2,4),(2,6),(2,7),(5,7),(6,3)],8)
[7,3,4,5,6,1,8,2]=>([(0,7),(1,6),(2,4),(2,7),(3,7),(5,3),(6,5)],8)
[2,3,4,5,8,7,1,6]=>([(0,7),(1,5),(4,6),(5,4),(6,2),(6,3),(6,7)],8)
[2,3,4,8,6,7,1,5]=>([(0,7),(1,5),(4,3),(5,6),(6,2),(6,4),(6,7)],8)
[2,3,8,5,6,7,1,4]=>([(0,7),(1,6),(4,5),(5,3),(6,2),(6,4),(6,7)],8)
[2,8,4,5,6,7,1,3]=>([(0,7),(1,3),(1,6),(1,7),(4,5),(5,2),(6,4)],8)
[3,5,2,6,1,4,8,7]=>([(0,7),(1,6),(1,7),(2,3),(2,7),(3,6),(6,4),(6,5),(7,4),(7,5)],8)
[3,5,2,6,4,1,8,7]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,2,7,4,8,1,6]=>([(0,7),(1,4),(1,6),(2,3),(2,4),(3,6),(3,7),(4,5),(4,7),(6,5)],8)
[3,5,2,7,4,8,6,1]=>([(1,3),(1,7),(2,6),(2,7),(3,5),(3,6),(6,4),(7,4),(7,5)],8)
[4,5,7,2,3,8,6,1]=>([(1,3),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
[4,5,7,2,3,8,1,6]=>([(0,7),(1,3),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
[4,5,6,2,3,1,8,7]=>([(0,6),(0,7),(1,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,6,2,1,3,8,7]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,1,6,4,2,8,7]=>([(0,2),(0,4),(1,3),(1,4),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,6,1,3,2,8,7]=>([(0,5),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[4,5,6,3,1,2,8,7]=>([(0,6),(0,7),(1,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,7,3,2,8,1,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(4,7),(5,6)],8)
[4,5,7,3,2,8,6,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(4,7),(5,6)],8)
[4,6,7,3,8,2,5,1]=>([(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(5,6)],8)
[4,6,7,3,8,2,1,5]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(5,6)],8)
[4,6,7,3,8,1,2,5]=>([(0,6),(0,7),(1,4),(2,3),(2,7),(3,5),(4,7),(5,6)],8)
[4,5,7,3,1,8,2,6]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(3,7),(4,5),(4,7),(5,6)],8)
[4,5,7,1,3,8,2,6]=>([(0,5),(1,2),(1,4),(2,7),(3,6),(4,6),(4,7),(5,3),(5,7)],8)
[3,5,1,7,4,8,2,6]=>([(0,3),(0,6),(1,2),(1,5),(1,6),(2,7),(3,5),(3,7),(5,4),(6,4),(6,7)],8)
[2,1,5,7,4,8,3,6]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(4,7),(5,2),(5,7),(6,3),(6,7)],8)
[2,1,5,7,4,8,6,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(6,2),(6,3),(7,3),(7,4)],8)
[3,5,1,7,4,8,6,2]=>([(0,3),(0,7),(1,2),(1,6),(1,7),(3,5),(3,6),(6,4),(7,4),(7,5)],8)
[4,5,7,1,3,8,6,2]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(4,7),(5,3),(5,7)],8)
[4,5,7,3,1,8,6,2]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(2,7),(4,5),(4,7),(5,6)],8)
[4,6,7,3,8,1,5,2]=>([(0,6),(0,7),(1,3),(1,7),(2,4),(2,7),(4,5),(5,6)],8)
[4,6,7,3,8,5,1,2]=>([(0,6),(0,7),(1,3),(2,4),(2,6),(4,5),(5,7)],8)
[4,6,7,3,8,5,2,1]=>([(2,6),(2,7),(3,4),(3,6),(4,5),(5,7)],8)
[5,6,7,8,3,1,4,2]=>([(0,7),(1,6),(2,4),(2,7),(5,3),(6,5)],8)
[5,6,7,8,1,3,4,2]=>([(0,7),(1,4),(1,6),(5,3),(6,2),(7,5)],8)
[4,6,7,1,8,3,5,2]=>([(0,5),(0,7),(1,2),(1,3),(1,6),(3,7),(4,6),(5,4)],8)
[3,6,1,7,8,4,5,2]=>([(0,5),(0,7),(1,4),(1,6),(1,7),(5,6),(6,3),(7,2)],8)
[2,1,6,7,8,4,5,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(6,4),(7,2)],8)
[2,1,6,7,8,4,3,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(5,2),(6,4),(7,4)],8)
[3,6,1,7,8,4,2,5]=>([(0,3),(0,6),(1,4),(1,6),(1,7),(3,7),(4,5),(6,5),(7,2)],8)
[4,6,7,1,8,3,2,5]=>([(0,5),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(4,6),(5,4)],8)
[5,6,7,8,1,3,2,4]=>([(0,6),(1,3),(1,4),(3,7),(4,7),(5,2),(6,5)],8)
[4,5,7,2,1,8,3,6]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(3,4),(3,6),(4,7),(5,6)],8)
[4,6,7,2,8,1,3,5]=>([(0,5),(1,5),(1,6),(2,3),(2,7),(3,4),(4,6),(5,7)],8)
[4,6,7,2,8,3,1,5]=>([(0,7),(1,3),(1,7),(2,4),(2,6),(3,5),(4,7),(5,6)],8)
[4,6,7,2,8,3,5,1]=>([(1,4),(1,7),(2,3),(2,6),(3,7),(4,5),(5,6)],8)
[3,6,2,7,8,4,5,1]=>([(1,6),(1,7),(2,3),(2,6),(3,7),(6,5),(7,4)],8)
[3,6,2,7,8,4,1,5]=>([(0,6),(1,5),(1,7),(2,3),(2,5),(3,7),(5,6),(7,4)],8)
[3,6,2,7,8,1,4,5]=>([(0,7),(1,6),(1,7),(2,4),(2,7),(4,6),(6,5),(7,3)],8)
[3,5,2,7,1,8,4,6]=>([(0,4),(0,7),(1,5),(1,7),(2,3),(2,7),(3,5),(3,6),(5,4),(7,6)],8)
[3,4,2,1,7,8,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(6,5),(7,4)],8)
[3,4,1,2,7,8,6,5]=>([(0,4),(1,3),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,2)],8)
[3,5,2,7,1,8,6,4]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(3,5),(3,7),(5,4)],8)
[3,6,2,7,8,1,5,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(5,4)],8)
[3,6,2,7,8,5,1,4]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,6),(6,4)],8)
[3,6,2,7,8,5,4,1]=>([(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,7),(7,4)],8)
[4,6,7,2,8,5,3,1]=>([(1,4),(1,6),(2,3),(2,6),(2,7),(4,5),(5,7)],8)
[4,6,7,2,8,5,1,3]=>([(0,5),(1,5),(1,6),(1,7),(2,3),(2,6),(3,4),(4,7)],8)
[4,6,7,2,8,1,5,3]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(4,6)],8)
[4,5,7,2,1,8,6,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(3,7),(4,6)],8)
[4,5,7,1,2,8,6,3]=>([(0,5),(1,4),(3,6),(4,3),(4,7),(5,2),(5,6),(5,7)],8)
[3,5,1,7,2,8,6,4]=>([(0,3),(0,7),(1,2),(1,6),(2,5),(2,7),(3,4),(3,5),(3,6),(7,4)],8)
[2,1,5,7,3,8,6,4]=>([(0,6),(0,7),(1,6),(1,7),(3,5),(6,3),(6,4),(7,2),(7,4),(7,5)],8)
[2,1,6,7,8,3,5,4]=>([(0,6),(0,7),(1,6),(1,7),(5,4),(6,5),(7,2),(7,3)],8)
[3,6,1,7,8,2,5,4]=>([(0,4),(0,7),(1,3),(1,5),(1,6),(3,7),(4,5),(4,6),(7,2)],8)
[4,6,7,1,8,2,5,3]=>([(0,5),(0,7),(1,4),(1,6),(3,7),(4,3),(5,2),(5,6)],8)
[5,6,7,8,1,2,4,3]=>([(0,6),(1,7),(5,4),(6,5),(7,2),(7,3)],8)
[5,6,7,8,2,1,4,3]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,5),(5,4)],8)
[5,6,7,8,2,4,1,3]=>([(0,7),(1,6),(2,4),(2,7),(5,3),(6,5)],8)
[5,6,7,8,2,4,3,1]=>([(1,7),(2,4),(2,5),(6,3),(7,6)],8)
[5,6,7,8,1,4,2,3]=>([(0,7),(1,4),(1,6),(5,3),(6,2),(7,5)],8)
[4,6,7,1,8,5,2,3]=>([(0,4),(0,7),(1,5),(1,6),(1,7),(3,6),(4,3),(5,2)],8)
[3,6,1,7,8,5,2,4]=>([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(3,7),(4,5),(7,2)],8)
[2,1,6,7,8,5,3,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(6,4),(7,2)],8)
[3,6,1,7,8,5,4,2]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(1,7),(4,7),(7,2)],8)
[4,6,7,1,8,5,3,2]=>([(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(4,6),(5,4)],8)
[5,6,7,8,1,4,3,2]=>([(0,7),(1,3),(1,4),(1,5),(6,2),(7,6)],8)
[5,6,7,8,4,1,3,2]=>([(1,7),(2,4),(2,5),(6,3),(7,6)],8)
[6,5,8,7,3,4,1,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8)
[3,6,7,4,5,8,1,2]=>([(0,4),(1,5),(1,6),(2,7),(3,7),(5,3),(6,2)],8)
[2,6,7,4,5,1,8,3]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(2,7),(3,7),(4,3),(5,2)],8)
[1,6,7,4,5,2,3,8]=>([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,3),(5,2),(6,1)],8)
[1,5,4,7,6,2,3,8]=>([(0,2),(0,3),(0,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,1),(5,7),(6,7)],8)
[2,5,4,7,6,1,8,3]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,7),(5,7)],8)
[3,5,4,7,6,8,1,2]=>([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7)],8)
[4,5,3,7,8,6,1,2]=>([(0,6),(0,7),(1,3),(2,5),(5,6),(5,7),(7,4)],8)
[5,4,3,8,7,6,1,2]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4)],8)
[6,4,8,3,7,5,1,2]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4)],8)
[6,3,8,4,5,7,1,2]=>([(0,6),(0,7),(1,3),(2,4),(2,6),(4,5),(5,7)],8)
[5,3,4,8,6,7,1,2]=>([(0,6),(0,7),(1,3),(2,5),(5,6),(5,7),(7,4)],8)
[4,3,5,6,8,7,1,2]=>([(0,7),(1,7),(2,5),(6,3),(6,4),(7,6)],8)
[3,2,5,6,1,8,7,4]=>([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,3)],8)
[4,2,5,6,8,1,7,3]=>([(0,6),(1,5),(1,6),(2,5),(2,7),(3,4),(3,7),(6,3)],8)
[5,2,4,8,6,1,7,3]=>([(0,3),(0,5),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(7,4)],8)
[6,2,8,4,5,1,7,3]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,5),(2,6),(3,4),(4,7)],8)
[7,8,2,4,5,1,6,3]=>([(0,6),(0,7),(1,3),(2,4),(2,6),(4,5),(5,7)],8)
[7,8,1,4,5,2,3,6]=>([(0,4),(1,5),(1,6),(2,7),(3,7),(5,3),(6,2)],8)
[6,1,8,4,5,2,3,7]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(2,7),(3,7),(4,3),(5,2)],8)
[5,1,4,8,6,2,3,7]=>([(0,6),(0,7),(1,3),(1,4),(2,5),(3,6),(3,7),(4,2),(7,5)],8)
[4,1,3,2,8,6,5,7]=>([(0,2),(0,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[5,1,3,8,2,6,4,7]=>([(0,2),(0,3),(1,4),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(6,5),(7,5)],8)
[6,1,8,3,2,5,4,7]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,7),(5,7)],8)
[7,8,1,3,2,5,4,6]=>([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7)],8)
[7,8,2,3,1,5,6,4]=>([(0,6),(0,7),(1,3),(2,5),(5,6),(5,7),(7,4)],8)
[6,2,8,3,1,5,7,4]=>([(0,3),(0,5),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(7,4)],8)
[5,2,3,8,1,6,7,4]=>([(0,6),(0,7),(1,5),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)
[6,3,8,2,1,7,5,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[7,8,3,2,1,6,5,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4)],8)
[7,8,4,2,6,1,5,3]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4)],8)
[5,4,2,8,7,1,6,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[4,5,2,7,8,1,6,3]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(4,6),(4,7),(6,3)],8)
[2,5,3,7,1,6,8,4]=>([(0,2),(0,3),(1,4),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(6,5),(7,5)],8)
[1,5,3,7,2,6,4,8]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,6,7,3,2,5,4,8]=>([(0,2),(0,3),(0,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,1),(5,7),(6,7)],8)
[2,6,7,3,1,5,8,4]=>([(0,6),(0,7),(1,3),(1,4),(2,5),(3,6),(3,7),(4,2),(7,5)],8)
[3,6,7,2,1,8,5,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(4,7)],8)
[7,8,5,6,2,1,4,3]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8)
[6,5,8,7,1,2,3,4]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,5),(5,4)],8)
[5,4,1,8,7,2,3,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(4,7)],8)
[6,4,8,1,7,2,3,5]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(4,6)],8)
[7,8,3,1,2,6,4,5]=>([(0,6),(0,7),(1,3),(2,5),(5,6),(5,7),(7,4)],8)
[5,3,1,8,2,7,4,6]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(3,5),(3,7),(5,4)],8)
[4,3,1,2,8,7,5,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)
[4,2,1,3,8,5,7,6]=>([(0,6),(0,7),(1,5),(2,5),(5,6),(5,7),(7,3),(7,4)],8)
[5,2,1,8,3,4,7,6]=>([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,3)],8)
[6,2,8,1,3,4,7,5]=>([(0,6),(1,5),(1,6),(2,5),(2,7),(3,4),(3,7),(6,3)],8)
[7,8,2,1,3,4,6,5]=>([(0,7),(1,7),(2,5),(6,3),(6,4),(7,6)],8)
[4,3,1,2,6,5,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[5,3,1,6,2,4,8,7]=>([(0,7),(1,6),(1,7),(2,3),(2,7),(3,6),(6,4),(6,5),(7,4),(7,5)],8)
[6,3,1,5,2,4,8,7]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,1,5,2,8,4,6]=>([(0,7),(1,4),(1,6),(2,3),(2,4),(3,6),(3,7),(4,5),(4,7),(6,5)],8)
[8,4,5,1,2,7,3,6]=>([(1,3),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
[7,4,5,1,2,8,3,6]=>([(0,7),(1,3),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
[6,4,5,1,2,3,8,7]=>([(0,6),(0,7),(1,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,6,1,2,3,8,7]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,6,5,3,4,8,7]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[3,6,1,5,2,4,8,7]=>([(0,2),(0,4),(1,3),(1,4),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,5,1,2,3,8,7]=>([(0,5),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[5,6,4,1,2,3,8,7]=>([(0,6),(0,7),(1,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,4,1,2,3,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)
[7,5,4,1,2,8,3,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(4,7),(5,6)],8)
[8,6,4,1,7,2,3,5]=>([(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(5,6)],8)
[7,6,4,1,8,2,3,5]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(5,6)],8)
[6,7,4,1,8,2,3,5]=>([(0,6),(0,7),(1,4),(2,3),(2,7),(3,5),(4,7),(5,6)],8)
[5,7,4,1,2,8,3,6]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(3,7),(4,5),(4,7),(5,6)],8)
[4,7,5,1,2,8,3,6]=>([(0,5),(1,2),(1,4),(2,7),(3,6),(4,6),(4,7),(5,3),(5,7)],8)
[3,7,1,5,2,8,4,6]=>([(0,3),(0,6),(1,2),(1,5),(1,6),(2,7),(3,5),(3,7),(5,4),(6,4),(6,7)],8)
[2,1,7,5,3,8,4,6]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(4,7),(5,2),(5,7),(6,3),(6,7)],8)
[2,1,8,5,3,7,4,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(6,2),(6,3),(7,3),(7,4)],8)
[3,8,1,5,2,7,4,6]=>([(0,3),(0,7),(1,2),(1,6),(1,7),(3,5),(3,6),(6,4),(7,4),(7,5)],8)
[4,8,5,1,2,7,3,6]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(4,7),(5,3),(5,7)],8)
[5,8,4,1,2,7,3,6]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(2,7),(4,5),(4,7),(5,6)],8)
[6,8,4,1,7,2,3,5]=>([(0,6),(0,7),(1,3),(1,7),(2,4),(2,7),(4,5),(5,6)],8)
[8,7,4,1,6,2,3,5]=>([(2,6),(2,7),(3,4),(3,6),(4,5),(5,7)],8)
[5,8,6,7,1,2,3,4]=>([(0,7),(1,4),(1,6),(5,3),(6,2),(7,5)],8)
[4,8,6,1,7,2,3,5]=>([(0,5),(0,7),(1,2),(1,3),(1,6),(3,7),(4,6),(5,4)],8)
[3,8,1,6,7,2,4,5]=>([(0,5),(0,7),(1,4),(1,6),(1,7),(5,6),(6,3),(7,2)],8)
[2,1,8,6,7,3,4,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(6,4),(7,2)],8)
[2,1,7,6,8,3,4,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(5,2),(6,4),(7,4)],8)
[3,7,1,6,8,2,4,5]=>([(0,3),(0,6),(1,4),(1,6),(1,7),(3,7),(4,5),(6,5),(7,2)],8)
[4,7,6,1,8,2,3,5]=>([(0,5),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(4,6),(5,4)],8)
[5,7,6,8,1,2,3,4]=>([(0,6),(1,3),(1,4),(3,7),(4,7),(5,2),(6,5)],8)
[5,4,7,1,2,8,3,6]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(3,4),(3,6),(4,7),(5,6)],8)
[6,4,7,1,8,2,3,5]=>([(0,5),(1,5),(1,6),(2,3),(2,7),(3,4),(4,6),(5,7)],8)
[7,4,6,1,8,2,3,5]=>([(0,7),(1,3),(1,7),(2,4),(2,6),(3,5),(4,7),(5,6)],8)
[8,4,6,1,7,2,3,5]=>([(1,4),(1,7),(2,3),(2,6),(3,7),(4,5),(5,6)],8)
[8,3,1,6,7,2,4,5]=>([(1,6),(1,7),(2,3),(2,6),(3,7),(6,5),(7,4)],8)
[7,3,1,6,8,2,4,5]=>([(0,6),(1,5),(1,7),(2,3),(2,5),(3,7),(5,6),(7,4)],8)
[6,3,1,7,8,2,4,5]=>([(0,7),(1,6),(1,7),(2,4),(2,7),(4,6),(6,5),(7,3)],8)
[5,3,1,7,2,8,4,6]=>([(0,4),(0,7),(1,5),(1,7),(2,3),(2,7),(3,5),(3,6),(5,4),(7,6)],8)
[4,3,1,2,7,8,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(6,5),(7,4)],8)
[2,1,4,3,8,7,5,6]=>([(0,6),(0,7),(1,6),(1,7),(5,2),(6,3),(6,4),(6,5),(7,3),(7,4),(7,5)],8)
[3,4,1,2,8,7,5,6]=>([(0,4),(1,3),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,2)],8)
[6,3,1,8,7,2,4,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(5,4)],8)
[7,3,1,8,6,2,4,5]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,6),(6,4)],8)
[8,4,7,1,6,2,3,5]=>([(1,4),(1,6),(2,3),(2,6),(2,7),(4,5),(5,7)],8)
[7,4,8,1,6,2,3,5]=>([(0,5),(1,5),(1,6),(1,7),(2,3),(2,6),(3,4),(4,7)],8)
[5,4,8,1,2,7,3,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(3,7),(4,6)],8)
[4,5,8,1,2,7,3,6]=>([(0,5),(1,4),(3,6),(4,3),(4,7),(5,2),(5,6),(5,7)],8)
[3,5,1,8,2,7,4,6]=>([(0,3),(0,7),(1,2),(1,6),(2,5),(2,7),(3,4),(3,5),(3,6),(7,4)],8)
[2,1,5,8,3,7,4,6]=>([(0,6),(0,7),(1,6),(1,7),(3,5),(6,3),(6,4),(7,2),(7,4),(7,5)],8)
[2,1,6,8,7,3,4,5]=>([(0,6),(0,7),(1,6),(1,7),(5,4),(6,5),(7,2),(7,3)],8)
[3,6,1,8,7,2,4,5]=>([(0,4),(0,7),(1,3),(1,5),(1,6),(3,7),(4,5),(4,6),(7,2)],8)
[4,6,8,1,7,2,3,5]=>([(0,5),(0,7),(1,4),(1,6),(3,7),(4,3),(5,2),(5,6)],8)
[5,6,8,7,1,2,3,4]=>([(0,6),(1,7),(5,4),(6,5),(7,2),(7,3)],8)
[7,5,8,6,1,2,3,4]=>([(0,7),(1,6),(2,4),(2,7),(5,3),(6,5)],8)
[8,5,7,6,1,2,3,4]=>([(1,7),(2,4),(2,5),(6,3),(7,6)],8)
[5,7,8,6,1,2,3,4]=>([(0,7),(1,4),(1,6),(5,3),(6,2),(7,5)],8)
[4,7,8,1,6,2,3,5]=>([(0,4),(0,7),(1,5),(1,6),(1,7),(3,6),(4,3),(5,2)],8)
[3,7,1,8,6,2,4,5]=>([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(3,7),(4,5),(7,2)],8)
[2,1,7,8,6,3,4,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(6,4),(7,2)],8)
[2,1,8,7,6,3,4,5]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(7,2)],8)
[3,8,1,7,6,2,4,5]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(1,7),(4,7),(7,2)],8)
[4,8,7,1,6,2,3,5]=>([(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(4,6),(5,4)],8)
[5,8,7,6,1,2,3,4]=>([(0,7),(1,3),(1,4),(1,5),(6,2),(7,6)],8)
[6,8,7,5,1,2,3,4]=>([(1,7),(2,4),(2,5),(6,3),(7,6)],8)
[6,4,7,3,8,5,1,2]=>([(0,6),(1,5),(1,7),(2,5),(2,6),(3,4),(6,7)],8)
[6,4,7,3,5,8,1,2]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(5,7),(6,7)],8)
[6,4,7,2,5,1,8,3]=>([(0,5),(1,4),(1,7),(2,5),(2,6),(3,4),(3,6),(5,7),(6,7)],8)
[5,4,2,7,6,1,3,8]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,4,2,7,6,1,8,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,7),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[5,4,3,7,6,8,1,2]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(6,5),(7,5)],8)
[5,4,3,7,8,6,1,2]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(7,4)],8)
[6,4,8,3,5,7,1,2]=>([(0,6),(1,5),(1,7),(2,5),(2,6),(3,4),(6,7)],8)
[5,4,3,8,6,7,1,2]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(7,4)],8)
[5,4,3,6,8,7,1,2]=>([(0,7),(1,7),(2,7),(3,4),(7,5),(7,6)],8)
[5,4,2,6,7,1,8,3]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,7),(4,6),(7,4)],8)
[5,4,2,6,7,1,3,8]=>([(0,7),(1,7),(2,5),(3,5),(3,7),(4,6),(5,6),(7,4)],8)
[5,3,2,6,1,7,4,8]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(6,5),(7,4)],8)
[5,3,2,6,1,7,8,4]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(5,4),(7,5)],8)
[5,3,2,6,1,8,7,4]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(7,4),(7,5)],8)
[5,4,2,6,8,1,7,3]=>([(0,7),(1,7),(2,5),(2,7),(3,5),(3,6),(7,4),(7,6)],8)
[5,4,2,8,6,1,7,3]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(7,4)],8)
[6,4,8,2,5,1,7,3]=>([(0,5),(0,7),(1,4),(1,7),(2,4),(2,6),(3,5),(3,6),(6,7)],8)
[7,8,4,2,5,1,6,3]=>([(0,6),(1,5),(1,7),(2,5),(2,6),(3,4),(6,7)],8)
[7,8,4,2,5,1,3,6]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(5,7),(6,7)],8)
[5,4,2,8,6,1,3,7]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(3,4),(3,6),(3,7),(4,5),(7,5)],8)
[5,3,2,6,1,8,4,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(6,5),(7,4),(7,5)],8)
[4,3,2,1,6,8,5,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4),(7,5)],8)
[4,3,2,1,8,6,5,7]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[5,3,2,8,1,6,4,7]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[6,3,8,2,1,5,4,7]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,7),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[7,8,3,2,1,5,4,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(6,5),(7,5)],8)
[7,8,3,2,1,5,6,4]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(7,4)],8)
[6,3,8,2,1,5,7,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(7,4)],8)
[5,3,2,8,1,6,7,4]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[5,4,2,7,8,1,6,3]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(6,4)],8)
[5,3,2,7,1,8,6,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(6,4)],8)
[5,3,2,7,1,6,8,4]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[5,3,2,7,1,6,4,8]=>([(0,5),(0,7),(1,4),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(7,6)],8)
[6,3,7,2,1,5,4,8]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[6,3,7,2,1,5,8,4]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(3,4),(3,6),(3,7),(4,5),(7,5)],8)
[6,3,7,2,1,8,5,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(3,4),(3,5),(3,6),(4,7)],8)
[6,4,7,2,8,1,5,3]=>([(0,5),(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(5,6)],8)
[6,5,7,8,2,1,4,3]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(7,4)],8)
[6,5,8,7,2,1,3,4]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(7,4)],8)
[6,3,7,2,1,8,4,5]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(3,7),(5,6),(7,4)],8)
[6,3,7,2,1,4,8,5]=>([(0,7),(1,7),(2,5),(3,5),(3,7),(5,6),(7,4),(7,6)],8)
[6,3,7,2,1,4,5,8]=>([(0,7),(1,7),(2,5),(3,5),(3,7),(4,6),(5,6),(7,4)],8)
[5,3,2,7,1,4,8,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(6,5),(7,4),(7,5)],8)
[5,4,2,8,7,1,3,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(3,4),(3,5),(3,6),(4,7)],8)
[7,8,4,2,6,1,3,5]=>([(0,6),(1,5),(1,7),(2,5),(2,6),(3,4),(6,7)],8)
[7,8,3,2,1,6,4,5]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(7,4)],8)
[6,3,8,2,1,7,4,5]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(6,4)],8)
[5,3,2,8,1,7,4,6]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(6,4)],8)
[4,3,2,1,8,7,5,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[4,3,2,1,7,5,8,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4),(7,5)],8)
[4,3,2,1,7,5,6,8]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(6,5),(7,4)],8)
[4,3,2,1,8,5,7,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(7,4),(7,5)],8)
[5,3,2,8,1,4,7,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(7,4),(7,5)],8)
[6,3,8,2,1,4,7,5]=>([(0,7),(1,7),(2,5),(2,7),(3,5),(3,6),(7,4),(7,6)],8)
[7,8,3,2,1,4,6,5]=>([(0,7),(1,7),(2,7),(3,4),(7,5),(7,6)],8)
[6,3,8,2,1,4,5,7]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,7),(4,6),(7,4)],8)
[4,3,2,1,8,5,6,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(7,4)],8)
[4,3,2,1,5,8,6,7]=>([(0,7),(1,7),(2,7),(3,7),(5,6),(7,4),(7,5)],8)
[7,8,5,6,1,2,4,3]=>([(0,6),(1,5),(2,7),(7,3),(7,4)],8)
[7,8,4,1,6,2,5,3]=>([(0,6),(0,7),(1,3),(2,4),(2,6),(4,5),(4,7)],8)
[7,8,1,4,6,2,5,3]=>([(0,4),(1,5),(1,6),(5,3),(5,7),(6,2),(6,7)],8)
[6,1,8,4,7,2,5,3]=>([(0,6),(0,7),(1,3),(1,4),(1,7),(3,5),(3,6),(4,2),(4,5)],8)
[1,6,8,4,7,2,5,3]=>([(0,3),(0,4),(0,5),(3,6),(3,7),(4,2),(4,6),(5,1),(5,7)],8)
[1,6,8,3,2,7,5,4]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,7)],8)
[6,1,8,3,2,7,5,4]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7)],8)
[7,8,1,3,2,6,5,4]=>([(0,4),(1,2),(1,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7)],8)
[7,8,3,1,2,6,5,4]=>([(0,5),(0,6),(0,7),(1,3),(2,4),(4,5),(4,6),(4,7)],8)
[7,8,3,4,6,5,1,2]=>([(0,6),(1,5),(2,7),(7,3),(7,4)],8)
[7,8,2,4,6,1,5,3]=>([(0,6),(0,7),(1,3),(2,4),(2,6),(4,5),(4,7)],8)
[7,8,2,3,1,6,5,4]=>([(0,5),(0,6),(0,7),(1,3),(2,4),(4,5),(4,6),(4,7)],8)
[7,8,2,1,3,6,5,4]=>([(0,7),(1,7),(2,3),(7,4),(7,5),(7,6)],8)
[7,8,1,2,3,6,5,4]=>([(0,5),(1,6),(6,7),(7,2),(7,3),(7,4)],8)
[6,1,8,2,3,7,5,4]=>([(0,6),(0,7),(1,4),(1,7),(4,5),(5,2),(5,3),(5,6)],8)
[1,6,8,2,3,7,5,4]=>([(0,4),(0,5),(4,6),(5,1),(5,7),(6,2),(6,3),(6,7)],8)
[1,5,2,8,3,7,6,4]=>([(0,2),(0,4),(2,5),(2,6),(2,7),(3,1),(3,6),(3,7),(4,3),(4,5)],8)
[5,1,2,8,3,7,6,4]=>([(0,5),(0,6),(0,7),(1,3),(3,4),(3,5),(4,2),(4,6),(4,7)],8)
[5,2,1,8,3,7,6,4]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(6,3),(6,4),(6,5)],8)
[6,2,8,1,3,7,5,4]=>([(0,7),(1,5),(1,7),(2,5),(2,6),(7,3),(7,4),(7,6)],8)
[6,2,8,3,1,7,5,4]=>([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7)],8)
[6,2,8,4,7,1,5,3]=>([(0,5),(0,7),(1,4),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5)],8)
[6,3,8,4,7,5,1,2]=>([(0,6),(0,7),(1,3),(2,4),(2,6),(4,5),(4,7)],8)
[3,6,8,4,7,5,1,2]=>([(0,4),(1,5),(1,6),(5,3),(5,7),(6,2),(6,7)],8)
[2,6,8,4,7,1,5,3]=>([(0,6),(0,7),(1,3),(1,4),(1,7),(3,5),(3,6),(4,2),(4,5)],8)
[2,6,8,3,1,7,5,4]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(3,5),(3,6),(3,7),(4,2),(4,7)],8)
[2,6,8,1,3,7,5,4]=>([(0,7),(1,5),(1,7),(5,4),(5,6),(7,2),(7,3),(7,6)],8)
[2,5,1,8,3,7,6,4]=>([(0,3),(0,7),(1,6),(1,7),(3,4),(3,5),(3,6),(7,2),(7,4),(7,5)],8)
[1,2,5,8,3,7,6,4]=>([(0,5),(3,2),(3,6),(3,7),(4,1),(4,6),(4,7),(5,3),(5,4)],8)
[2,4,1,3,8,7,6,5]=>([(0,7),(1,2),(1,7),(2,3),(2,4),(2,5),(2,6),(7,3),(7,4),(7,5),(7,6)],8)
[2,5,3,8,1,7,6,4]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[2,5,4,8,7,1,6,3]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7)],8)
[3,5,4,8,7,6,1,2]=>([(0,4),(1,2),(1,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7)],8)
[5,3,4,8,7,6,1,2]=>([(0,5),(0,6),(0,7),(1,3),(2,4),(4,5),(4,6),(4,7)],8)
[5,2,4,8,7,1,6,3]=>([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7)],8)
[5,2,3,8,1,7,6,4]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(3,4),(3,5),(3,6),(3,7)],8)
[4,2,1,3,8,7,6,5]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(7,3),(7,4),(7,5),(7,6)],8)
[4,1,2,3,8,7,6,5]=>([(0,2),(1,4),(1,5),(1,6),(1,7),(2,3),(3,4),(3,5),(3,6),(3,7)],8)
[1,4,2,3,8,7,6,5]=>([(0,1),(0,3),(1,2),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[4,1,3,2,8,7,6,5]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[4,3,1,2,8,7,6,5]=>([(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[6,3,8,1,2,7,5,4]=>([(0,4),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(3,5),(3,6),(3,7)],8)
[5,3,1,8,2,7,6,4]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(3,4),(3,6),(3,7)],8)
[5,1,3,8,2,7,6,4]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,5,3,8,2,7,6,4]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,5,4,8,7,2,6,3]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,7)],8)
[5,1,4,8,7,2,6,3]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(3,5),(3,6),(3,7),(4,2),(4,7)],8)
[5,4,1,8,7,2,6,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,7)],8)
[6,4,8,1,7,2,5,3]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(3,6)],8)
[6,5,8,7,1,2,4,3]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5)],8)
[5,6,8,7,3,4,1,2]=>([(0,6),(1,5),(2,7),(7,3),(7,4)],8)
[5,6,8,7,2,1,4,3]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5)],8)
[4,5,1,8,7,2,6,3]=>([(0,3),(1,4),(1,6),(1,7),(3,5),(3,6),(3,7),(4,2),(4,5)],8)
[4,1,5,8,7,2,6,3]=>([(0,7),(1,5),(1,7),(5,4),(5,6),(7,2),(7,3),(7,6)],8)
[1,4,5,8,7,2,6,3]=>([(0,4),(0,5),(4,6),(5,1),(5,7),(6,2),(6,3),(6,7)],8)
[1,3,5,8,2,7,6,4]=>([(0,2),(0,4),(2,5),(2,6),(2,7),(3,1),(3,6),(3,7),(4,3),(4,5)],8)
[3,1,5,8,2,7,6,4]=>([(0,3),(0,7),(1,6),(1,7),(3,4),(3,5),(3,6),(7,2),(7,4),(7,5)],8)
[3,6,8,1,2,7,5,4]=>([(0,3),(1,4),(1,6),(1,7),(3,5),(3,6),(3,7),(4,2),(4,5)],8)
[3,6,8,2,1,7,5,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,7)],8)
[4,6,8,2,7,1,5,3]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(3,6)],8)
[4,6,8,3,7,5,1,2]=>([(0,6),(0,7),(1,3),(2,4),(2,6),(4,5),(4,7)],8)
[4,5,3,8,7,6,1,2]=>([(0,5),(0,6),(0,7),(1,3),(2,4),(4,5),(4,6),(4,7)],8)
[4,5,2,8,7,1,6,3]=>([(0,4),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(3,5),(3,6),(3,7)],8)
[3,5,2,8,1,7,6,4]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(3,4),(3,6),(3,7)],8)
[3,1,4,2,8,7,6,5]=>([(0,7),(1,2),(1,7),(2,3),(2,4),(2,5),(2,6),(7,3),(7,4),(7,5),(7,6)],8)
[3,1,2,4,8,7,6,5]=>([(0,7),(1,2),(2,7),(7,3),(7,4),(7,5),(7,6)],8)
[3,2,5,8,1,7,6,4]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(6,3),(6,4),(6,5)],8)
[4,2,5,8,7,1,6,3]=>([(0,7),(1,5),(1,7),(2,5),(2,6),(7,3),(7,4),(7,6)],8)
[4,3,5,8,7,6,1,2]=>([(0,7),(1,7),(2,3),(7,4),(7,5),(7,6)],8)
[3,4,5,8,7,6,1,2]=>([(0,5),(1,6),(6,7),(7,2),(7,3),(7,4)],8)
[2,4,5,8,7,1,6,3]=>([(0,6),(0,7),(1,4),(1,7),(4,5),(5,2),(5,3),(5,6)],8)
[2,3,5,8,1,7,6,4]=>([(0,5),(0,6),(0,7),(1,3),(3,4),(3,5),(4,2),(4,6),(4,7)],8)
[4,1,3,2,6,5,8,7]=>([(0,6),(0,7),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[5,1,3,2,6,4,8,7]=>([(0,7),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[6,1,3,2,5,4,8,7]=>([(0,6),(0,7),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,3,2,5,4,8,6]=>([(0,7),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(5,7),(6,4),(6,7)],8)
[8,1,3,2,5,4,7,6]=>([(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[8,1,4,2,5,3,7,6]=>([(1,2),(1,4),(2,5),(3,6),(3,7),(4,3),(4,5),(5,6),(5,7)],8)
[7,1,4,2,5,3,8,6]=>([(0,7),(1,3),(1,4),(2,6),(2,7),(3,5),(4,2),(4,5),(5,6),(5,7)],8)
[6,1,4,2,5,3,8,7]=>([(0,6),(0,7),(1,3),(1,4),(2,6),(2,7),(3,5),(4,2),(4,5),(5,6),(5,7)],8)
[5,1,4,2,6,3,8,7]=>([(0,7),(1,2),(1,4),(2,7),(3,5),(3,6),(4,3),(4,7),(7,5),(7,6)],8)
[2,1,6,3,5,4,8,7]=>([(0,4),(0,5),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3)],8)
[3,1,6,2,5,4,8,7]=>([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,6,2,5,3,8,7]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,5,1,4,3,8,7]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,6,1,4,3,8,7]=>([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,7,1,4,3,8,6]=>([(0,3),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,8,1,4,3,7,6]=>([(0,3),(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,8,1,4,3,7,5]=>([(0,4),(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(5,7),(6,3),(6,7)],8)
[6,2,7,1,4,3,8,5]=>([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,3),(5,7),(6,3),(6,7)],8)
[7,2,6,1,4,3,8,5]=>([(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,5,1,4,3,8,6]=>([(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,7,2,5,3,8,6]=>([(0,3),(0,5),(1,5),(1,6),(2,4),(2,7),(3,2),(3,6),(5,7),(6,4),(6,7)],8)
[3,1,7,2,5,4,8,6]=>([(0,2),(0,4),(1,4),(1,5),(1,6),(2,5),(2,6),(4,7),(5,3),(5,7),(6,3),(6,7)],8)
[2,1,7,3,5,4,8,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,7),(3,4),(3,7),(5,7),(6,2),(6,3)],8)
[2,1,8,3,5,4,7,6]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(7,2),(7,3)],8)
[3,1,8,2,5,4,7,6]=>([(0,2),(0,5),(1,5),(1,6),(1,7),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8)
[4,1,8,2,5,3,7,6]=>([(0,2),(0,6),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(7,4),(7,5)],8)
[8,2,5,1,4,3,7,6]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,6,1,4,3,7,5]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,4,3,8,2,6,5]=>([(0,7),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,1,4,3,7,2,6,5]=>([(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,1,5,3,7,2,6,4]=>([(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7)],8)
[7,1,5,3,8,2,6,4]=>([(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7)],8)
[8,2,6,1,5,3,7,4]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3),(6,7)],8)
[5,1,8,2,6,3,7,4]=>([(0,6),(0,7),(1,4),(1,7),(3,2),(3,5),(4,3),(4,6),(6,5)],8)
[4,1,8,2,6,3,7,5]=>([(0,2),(0,6),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(7,4)],8)
[3,1,8,2,6,4,7,5]=>([(0,3),(0,5),(1,5),(1,6),(1,7),(3,6),(3,7),(6,4),(7,2),(7,4)],8)
[2,1,8,3,6,4,7,5]=>([(0,6),(0,7),(1,6),(1,7),(3,5),(4,2),(4,5),(7,3),(7,4)],8)
[2,1,7,3,6,4,8,5]=>([(0,5),(0,6),(1,5),(1,6),(3,7),(4,2),(4,7),(5,7),(6,3),(6,4)],8)
[4,1,7,2,6,3,8,5]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,5),(2,7),(3,2),(3,4),(4,7),(6,7)],8)
[5,1,7,2,6,3,8,4]=>([(0,5),(0,6),(1,4),(1,6),(3,2),(3,7),(4,3),(4,5),(5,7),(6,7)],8)
[7,2,6,1,5,3,8,4]=>([(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3),(6,7)],8)
[6,2,7,1,5,3,8,4]=>([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3),(6,7)],8)
[6,2,8,1,5,3,7,4]=>([(0,5),(0,6),(1,4),(1,7),(2,4),(2,5),(2,6),(5,7),(6,3),(6,7)],8)
[8,1,5,2,6,3,7,4]=>([(1,3),(1,5),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7)],8)
[6,1,5,2,7,3,8,4]=>([(0,7),(1,3),(1,4),(3,7),(4,5),(4,7),(5,2),(5,6),(7,6)],8)
[6,1,4,2,7,3,8,5]=>([(0,7),(1,2),(1,4),(2,5),(2,7),(3,5),(3,6),(4,3),(4,7),(7,6)],8)
[8,1,4,2,6,3,7,5]=>([(1,3),(1,4),(2,5),(2,7),(3,5),(3,6),(4,2),(4,6),(6,7)],8)
[8,1,3,2,6,4,7,5]=>([(1,3),(1,4),(3,5),(3,7),(4,5),(4,7),(5,6),(7,2),(7,6)],8)
[7,1,3,2,6,4,8,5]=>([(0,7),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,2),(6,7)],8)
[6,1,3,2,7,4,8,5]=>([(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(6,2),(6,5),(7,5)],8)
[5,1,3,2,7,4,8,6]=>([(0,2),(0,3),(1,4),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,5)],8)
[4,1,3,2,7,5,8,6]=>([(0,6),(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,2),(7,5)],8)
[2,1,4,3,8,5,7,6]=>([(0,6),(0,7),(1,6),(1,7),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8)
[3,1,4,2,8,5,7,6]=>([(0,6),(1,4),(1,6),(4,5),(4,7),(6,5),(6,7),(7,2),(7,3)],8)
[4,1,3,2,8,5,7,6]=>([(0,6),(0,7),(1,4),(1,5),(4,6),(4,7),(5,6),(5,7),(7,2),(7,3)],8)
[5,1,3,2,8,4,7,6]=>([(0,2),(0,3),(1,4),(1,5),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5)],8)
[6,1,3,2,8,4,7,5]=>([(0,5),(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(6,2),(6,5)],8)
[8,4,7,1,3,2,6,5]=>([(1,3),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,8,1,3,2,6,5]=>([(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7)],8)
[7,3,8,1,4,2,6,5]=>([(0,6),(1,3),(1,7),(2,6),(2,7),(3,4),(3,5),(7,4),(7,5)],8)
[8,3,7,1,4,2,6,5]=>([(1,3),(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,4,2,8,3,7,5]=>([(0,6),(0,7),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,2),(4,7)],8)
[5,1,4,2,8,3,7,6]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,2),(4,7)],8)
[4,1,5,2,8,3,7,6]=>([(0,7),(1,2),(1,7),(2,3),(2,6),(3,4),(3,5),(7,4),(7,5),(7,6)],8)
[3,1,5,2,8,4,7,6]=>([(0,2),(0,7),(1,6),(1,7),(2,5),(2,6),(6,3),(6,4),(7,3),(7,4),(7,5)],8)
[2,1,5,3,8,4,7,6]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(6,2),(6,3),(7,3),(7,4),(7,5)],8)
[2,1,6,3,8,4,7,5]=>([(0,6),(0,7),(1,6),(1,7),(3,2),(3,5),(6,3),(6,4),(7,4),(7,5)],8)
[3,1,6,2,8,4,7,5]=>([(0,3),(0,7),(1,6),(1,7),(3,5),(3,6),(6,2),(6,4),(7,4),(7,5)],8)
[4,1,6,2,8,3,7,5]=>([(0,2),(0,7),(1,5),(1,7),(2,3),(2,6),(3,4),(3,5),(7,4),(7,6)],8)
[5,1,6,2,8,3,7,4]=>([(0,7),(1,4),(1,7),(3,2),(3,5),(4,3),(4,6),(7,5),(7,6)],8)
[6,1,5,2,8,3,7,4]=>([(0,6),(0,7),(1,3),(1,5),(3,6),(3,7),(4,2),(4,7),(5,4),(5,6)],8)
[8,3,7,1,5,2,6,4]=>([(1,4),(1,5),(2,3),(2,5),(2,6),(4,6),(4,7),(5,7)],8)
[7,3,8,1,5,2,6,4]=>([(0,6),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(7,4)],8)
[6,2,7,3,8,1,5,4]=>([(0,7),(1,3),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(7,4)],8)
[6,2,8,3,7,1,5,4]=>([(0,3),(0,4),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7)],8)
[8,3,7,2,6,1,5,4]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[5,1,8,3,7,2,6,4]=>([(0,2),(0,3),(0,6),(1,4),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7)],8)
[4,1,8,3,7,2,6,5]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8)
[3,1,8,4,7,2,6,5]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(3,4),(3,5),(7,2),(7,4),(7,5)],8)
[2,1,8,4,7,3,6,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(6,3),(6,4),(7,2),(7,3),(7,4)],8)
[2,1,7,4,8,3,6,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(5,4),(6,2),(6,3),(7,2),(7,3),(7,4)],8)
[3,1,7,4,8,2,6,5]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(6,3),(7,3),(7,4),(7,5)],8)
[4,1,7,3,8,2,6,5]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5)],8)
[5,1,7,3,8,2,6,4]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(2,5),(2,7),(3,4),(3,5),(3,7),(6,4)],8)
[7,3,8,2,6,1,5,4]=>([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[8,2,6,3,7,1,5,4]=>([(1,5),(1,6),(2,3),(2,4),(3,7),(4,5),(4,6),(4,7)],8)
[7,2,6,3,8,1,5,4]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(3,7),(4,5),(4,6),(4,7)],8)
[3,4,2,6,8,1,5,7]=>([(0,7),(1,6),(1,7),(2,4),(4,6),(4,7),(6,3),(6,5),(7,5)],8)
[5,3,6,2,8,1,4,7]=>([(0,4),(1,7),(2,4),(2,7),(3,5),(3,7),(4,5),(4,6),(7,6)],8)
[5,3,6,2,4,8,1,7]=>([(0,7),(1,5),(2,4),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,3,8,2,4,1,6]=>([(0,7),(1,5),(2,5),(2,6),(3,4),(3,7),(4,6),(5,7)],8)
[5,7,3,8,2,4,6,1]=>([(1,5),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)
[7,4,2,5,8,3,6,1]=>([(1,6),(2,5),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[7,4,2,5,8,3,1,6]=>([(0,6),(1,7),(2,5),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[4,5,2,6,3,8,1,7]=>([(0,7),(1,4),(2,3),(2,5),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[4,5,2,1,6,8,3,7]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(3,7),(5,6),(7,4),(7,6)],8)
[5,3,1,6,8,2,4,7]=>([(0,7),(1,6),(1,7),(2,3),(2,7),(3,6),(6,5),(7,4),(7,5)],8)
[5,6,2,8,1,3,4,7]=>([(0,5),(1,5),(1,6),(2,3),(3,6),(3,7),(4,7),(5,4)],8)
[3,5,6,1,4,8,2,7]=>([(0,3),(0,6),(1,4),(1,6),(2,5),(2,7),(3,7),(4,2),(6,5),(6,7)],8)
[4,1,5,6,3,8,2,7]=>([(0,6),(1,2),(1,4),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(6,3)],8)
[4,5,1,6,3,8,2,7]=>([(0,4),(1,2),(1,3),(1,5),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[4,5,6,3,2,8,1,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)
[7,4,5,3,8,2,1,6]=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[7,4,5,3,8,2,6,1]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[6,7,4,8,3,2,5,1]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(5,6)],8)
[6,7,4,8,3,2,1,5]=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(5,6)],8)
[6,7,4,1,8,3,2,5]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6)],8)
[7,4,5,3,1,8,2,6]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(5,7)],8)
[4,7,1,5,8,3,2,6]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,7),(3,7),(4,5),(6,5),(6,7)],8)
[5,3,7,8,1,4,2,6]=>([(0,6),(0,7),(1,5),(1,6),(2,4),(2,5),(4,7),(5,7),(6,3)],8)
[7,5,8,2,4,6,1,3]=>([(0,5),(1,6),(2,5),(2,7),(3,4),(3,6),(4,7)],8)
[7,3,5,8,1,4,6,2]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6),(4,7),(5,7)],8)
[4,5,1,7,8,3,6,2]=>([(0,5),(1,3),(1,4),(1,7),(4,6),(5,6),(5,7),(7,2)],8)
[7,4,1,5,8,3,6,2]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(4,7),(5,6),(5,7)],8)
[6,7,4,3,8,1,5,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(5,7)],8)
[6,7,4,8,3,1,5,2]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,7),(5,6)],8)
[6,7,4,8,3,5,2,1]=>([(2,6),(3,6),(3,7),(4,5),(5,7)],8)
[5,6,7,3,8,4,2,1]=>([(2,5),(3,4),(3,7),(5,6),(6,7)],8)
[5,6,7,3,1,8,4,2]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(2,7),(4,5),(5,7)],8)
[5,6,1,7,3,8,4,2]=>([(0,4),(1,3),(1,5),(1,6),(4,6),(5,2),(5,7),(6,7)],8)
[5,1,6,7,3,8,4,2]=>([(0,7),(1,3),(1,5),(1,7),(4,6),(5,2),(5,6),(7,4)],8)
[6,4,7,1,8,3,5,2]=>([(0,5),(1,5),(1,7),(2,3),(2,4),(2,6),(4,7),(5,6)],8)
[6,7,8,3,1,4,5,2]=>([(0,7),(1,6),(2,5),(2,7),(6,3),(7,4)],8)
[6,7,2,8,4,5,1,3]=>([(0,6),(1,3),(2,4),(2,6),(2,7),(3,7),(4,5)],8)
[6,7,2,8,4,1,3,5]=>([(0,5),(1,3),(2,4),(2,5),(2,6),(3,6),(4,7),(5,7)],8)
[6,1,7,4,8,3,2,5]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,5),(4,7),(6,5)],8)
[5,1,6,7,3,2,8,4]=>([(0,6),(1,3),(1,4),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(6,2)],8)
[5,6,1,7,3,2,8,4]=>([(0,4),(1,2),(1,3),(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(6,7)],8)
[5,6,7,3,2,1,8,4]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,7)],8)
[5,6,7,3,2,8,4,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,7)],8)
[5,6,2,7,3,8,4,1]=>([(1,4),(2,3),(2,6),(3,5),(3,7),(4,6),(6,7)],8)
[5,6,2,7,3,1,8,4]=>([(0,5),(0,7),(1,3),(2,4),(2,6),(3,6),(4,5),(4,7),(6,7)],8)
[5,6,2,1,7,3,8,4]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(4,7),(6,3),(6,5),(7,5)],8)
[6,1,7,4,2,8,3,5]=>([(0,6),(1,3),(1,4),(1,6),(2,5),(3,5),(3,7),(4,2),(4,7),(6,7)],8)
[6,7,2,1,8,3,4,5]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,7),(4,5),(6,4)],8)
[7,5,8,2,1,3,4,6]=>([(0,6),(1,6),(2,5),(3,5),(3,7),(4,7),(6,4)],8)
[5,7,3,1,8,2,4,6]=>([(0,6),(0,7),(1,3),(1,7),(2,4),(2,5),(3,6),(4,7),(6,5)],8)
[4,7,1,5,2,8,3,6]=>([(0,3),(0,6),(1,4),(1,6),(2,5),(3,7),(4,2),(4,7),(6,5),(6,7)],8)
[7,4,2,5,1,8,3,6]=>([(0,7),(1,5),(2,4),(2,7),(3,4),(3,5),(4,6),(5,6),(5,7)],8)
[6,7,4,2,1,8,3,5]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(4,7),(5,6)],8)
[6,7,4,2,8,3,1,5]=>([(0,6),(1,6),(1,7),(2,5),(3,4),(3,7),(4,6),(5,7)],8)
[6,7,4,2,8,3,5,1]=>([(1,6),(1,7),(2,4),(3,5),(3,7),(4,7),(5,6)],8)
[3,6,7,2,8,4,5,1]=>([(1,6),(1,7),(2,4),(2,7),(4,5),(5,6),(7,3)],8)
[3,6,7,2,8,4,1,5]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6),(5,7)],8)
[3,6,7,2,1,8,4,5]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,7),(4,5),(5,6),(7,3)],8)
[5,7,3,8,2,1,4,6]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(7,5)],8)
[3,4,7,8,2,1,5,6]=>([(0,7),(1,7),(2,6),(5,3),(6,5),(6,7),(7,4)],8)
[3,7,8,1,4,6,2,5]=>([(0,4),(0,7),(1,5),(1,7),(4,6),(5,3),(7,2),(7,6)],8)
[3,4,7,8,2,6,1,5]=>([(0,3),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4)],8)
[5,7,3,8,2,6,1,4]=>([(0,6),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5)],8)
[3,6,7,2,8,5,1,4]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(4,6)],8)
[3,6,7,8,5,2,1,4]=>([(0,7),(1,7),(2,4),(2,6),(2,7),(5,3),(6,5)],8)
[3,6,7,8,5,2,4,1]=>([(1,7),(2,4),(2,6),(2,7),(5,3),(6,5)],8)
[6,4,7,8,2,5,3,1]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(7,4)],8)
[6,4,7,8,2,1,5,3]=>([(0,6),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(6,4)],8)
[4,1,5,7,8,2,6,3]=>([(0,7),(1,5),(1,7),(4,3),(5,2),(5,6),(7,4),(7,6)],8)
[5,3,7,8,1,6,2,4]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,7),(3,6),(5,4)],8)
[6,7,2,8,5,1,3,4]=>([(0,6),(1,4),(2,3),(2,6),(2,7),(4,7),(6,5)],8)
[6,4,1,7,8,2,5,3]=>([(0,7),(1,6),(1,7),(2,4),(2,7),(4,5),(4,6),(7,3)],8)
[5,1,6,2,7,8,4,3]=>([(0,6),(1,5),(1,6),(5,3),(5,4),(5,7),(6,7),(7,2)],8)
[5,6,2,1,7,8,4,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,7),(7,4)],8)
[5,6,2,7,1,8,4,3]=>([(0,3),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,7),(7,4)],8)
[5,6,2,7,8,4,3,1]=>([(1,5),(2,3),(2,4),(2,7),(5,7),(7,6)],8)
[5,6,7,2,8,4,3,1]=>([(1,6),(2,3),(2,4),(2,7),(5,7),(6,5)],8)
[5,6,7,2,1,8,4,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(4,7)],8)
[5,6,1,7,2,8,4,3]=>([(0,4),(1,5),(1,7),(4,7),(5,2),(5,3),(5,6),(7,6)],8)
[5,1,6,7,2,8,4,3]=>([(0,7),(1,5),(1,7),(4,6),(5,2),(5,3),(5,6),(7,4)],8)
[6,4,7,1,8,2,5,3]=>([(0,5),(1,5),(1,7),(2,3),(2,6),(3,4),(3,7),(5,6)],8)
[3,6,7,1,8,5,2,4]=>([(0,3),(0,5),(0,7),(1,4),(1,6),(1,7),(2,5),(3,6),(4,2)],8)
[6,7,8,5,2,4,1,3]=>([(1,7),(2,5),(3,4),(3,7),(5,6)],8)
[6,7,8,3,5,1,4,2]=>([(0,6),(1,5),(1,7),(2,4),(2,7),(6,3)],8)
[4,6,7,8,1,5,3,2]=>([(0,6),(0,7),(1,3),(1,4),(1,7),(5,2),(6,5)],8)
[5,1,6,7,8,4,3,2]=>([(0,7),(1,3),(1,4),(1,5),(1,7),(6,2),(7,6)],8)
[5,6,1,7,8,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,7),(6,7),(7,5)],8)
[5,6,7,1,8,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,7),(5,7),(6,5)],8)
[8,6,1,3,4,2,5,7]=>([(1,6),(2,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[8,3,2,5,1,6,4,7]=>([(1,4),(1,7),(2,4),(2,7),(3,6),(3,7),(4,6),(6,5),(7,5)],8)
[8,5,3,6,2,4,1,7]=>([(1,7),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
[5,3,2,7,4,1,8,6]=>([(0,5),(0,6),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,7)],8)
[7,5,3,8,2,4,6,1]=>([(1,7),(2,6),(2,7),(3,5),(4,5),(4,7),(5,6)],8)
[7,2,4,5,8,3,6,1]=>([(1,6),(2,3),(2,4),(3,7),(4,5),(5,6),(5,7)],8)
[2,4,5,3,7,1,8,6]=>([(0,6),(0,7),(1,3),(1,4),(2,5),(2,7),(3,5),(3,7),(4,2),(5,6)],8)
[8,2,4,5,6,3,1,7]=>([(1,7),(2,4),(2,6),(3,7),(4,7),(5,3),(6,5)],8)
[8,2,4,5,6,1,3,7]=>([(1,6),(2,3),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[8,1,2,4,5,6,3,7]=>([(1,6),(2,7),(3,7),(4,5),(5,3),(6,2),(6,4)],8)
[8,2,5,1,3,6,4,7]=>([(1,5),(2,4),(2,5),(3,7),(4,6),(5,3),(5,6),(6,7)],8)
[8,5,6,2,1,4,3,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,7),(5,7),(6,7)],8)
[8,5,3,6,4,1,2,7]=>([(1,6),(2,5),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[8,4,1,5,6,3,2,7]=>([(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(5,7),(6,5)],8)
[8,1,4,5,6,3,2,7]=>([(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(5,2),(6,5)],8)
[4,5,3,7,2,1,8,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(4,5),(4,7),(5,6)],8)
[7,4,5,8,3,2,6,1]=>([(1,7),(2,7),(3,6),(4,5),(5,6),(5,7)],8)
[4,3,6,7,2,8,5,1]=>([(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,4)],8)
[4,3,6,7,2,8,1,5]=>([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,4)],8)
[1,4,3,6,7,2,8,5]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(6,1)],8)
[4,5,3,7,1,8,2,6]=>([(0,6),(0,7),(1,4),(2,3),(2,5),(3,7),(4,6),(4,7),(6,5)],8)
[4,1,5,3,7,2,8,6]=>([(0,6),(1,2),(1,3),(1,6),(2,5),(2,7),(3,4),(3,7),(5,4),(6,5),(6,7)],8)
[5,3,4,7,1,2,8,6]=>([(0,5),(0,7),(1,3),(2,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
[7,5,8,2,1,4,6,3]=>([(0,4),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(6,7)],8)
[7,5,3,8,4,1,6,2]=>([(0,6),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(5,7)],8)
[7,4,5,8,3,6,1,2]=>([(0,7),(1,6),(2,4),(3,5),(5,6),(5,7)],8)
[4,3,6,7,8,1,5,2]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(4,5),(6,4)],8)
[1,6,4,7,8,3,5,2]=>([(0,2),(0,3),(0,4),(0,5),(3,7),(4,6),(5,6),(5,7),(7,1)],8)
[6,4,7,8,3,5,2,1]=>([(2,7),(3,6),(4,6),(4,7),(7,5)],8)
[3,5,6,7,8,4,1,2]=>([(0,4),(1,3),(1,7),(5,6),(6,2),(7,5)],8)
[3,1,5,6,7,8,4,2]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(4,2),(5,4),(7,5)],8)
[4,6,1,7,8,3,5,2]=>([(0,5),(0,6),(1,3),(1,4),(1,7),(4,6),(5,7),(7,2)],8)
[3,6,7,1,4,8,5,2]=>([(0,4),(0,7),(1,5),(1,7),(3,6),(5,3),(7,2),(7,6)],8)
[6,2,4,1,7,8,5,3]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(3,6),(3,7),(7,4)],8)
[2,6,7,1,4,8,3,5]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(3,5),(6,4),(7,4),(7,5)],8)
[4,3,6,7,8,1,2,5]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,7),(4,5),(6,4)],8)
[1,5,3,6,7,8,2,4]=>([(0,2),(0,3),(0,4),(2,6),(3,7),(4,6),(4,7),(5,1),(7,5)],8)
[3,5,6,7,8,2,1,4]=>([(0,7),(1,7),(2,6),(2,7),(4,5),(5,3),(6,4)],8)
[3,5,6,7,8,2,4,1]=>([(1,7),(2,6),(2,7),(4,5),(5,3),(6,4)],8)
[5,2,7,1,3,8,4,6]=>([(0,6),(1,5),(1,7),(2,6),(2,7),(3,5),(6,3),(6,4),(7,4)],8)
[5,3,1,7,8,2,4,6]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,7),(3,6),(6,5),(7,4)],8)
[4,5,2,7,8,1,3,6]=>([(0,5),(1,5),(1,7),(2,4),(4,6),(4,7),(5,6),(7,3)],8)
[4,2,6,7,8,3,1,5]=>([(0,7),(1,6),(1,7),(2,3),(2,6),(3,7),(4,5),(6,4)],8)
[4,2,6,7,8,3,5,1]=>([(1,6),(1,7),(2,3),(2,6),(3,7),(4,5),(6,4)],8)
[3,6,2,7,4,8,5,1]=>([(1,6),(1,7),(2,4),(2,6),(4,7),(6,3),(6,5),(7,5)],8)
[3,6,2,7,4,8,1,5]=>([(0,5),(1,3),(1,7),(2,6),(2,7),(3,6),(6,4),(7,4),(7,5)],8)
[3,2,1,6,4,7,8,5]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(5,4),(6,5),(7,3),(7,5)],8)
[3,7,4,2,1,5,8,6]=>([(0,7),(1,7),(2,3),(2,5),(3,7),(5,6),(7,4),(7,6)],8)
[1,7,3,4,2,5,8,6]=>([(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,2),(7,1),(7,6)],8)
[4,7,2,1,3,5,8,6]=>([(0,5),(1,5),(2,4),(2,6),(4,7),(5,6),(6,3),(6,7)],8)
[7,8,4,2,1,3,6,5]=>([(0,5),(1,5),(2,6),(2,7),(3,4),(5,6),(5,7)],8)
[7,8,1,3,4,2,6,5]=>([(0,4),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(5,2)],8)
[7,8,3,4,2,1,6,5]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(3,5),(5,6),(5,7)],8)
[6,3,2,7,1,8,5,4]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(7,4)],8)
[3,6,2,7,1,8,5,4]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(5,4)],8)
[6,7,3,8,2,5,4,1]=>([(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(4,7)],8)
[6,4,7,8,5,2,3,1]=>([(1,7),(2,5),(3,4),(3,7),(7,6)],8)
[2,6,4,7,8,1,5,3]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(3,7),(4,5),(4,7),(7,2)],8)
[4,6,2,7,8,1,5,3]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,7),(3,6),(6,4)],8)
[7,4,5,8,6,2,1,3]=>([(0,7),(1,6),(2,6),(3,4),(4,5),(4,7)],8)
[7,4,1,5,8,6,2,3]=>([(0,7),(1,6),(2,4),(2,7),(4,5),(7,3),(7,6)],8)
[7,5,3,8,6,1,2,4]=>([(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(4,6)],8)
[7,5,8,2,1,6,3,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(3,7),(6,4)],8)
[6,2,7,1,3,8,5,4]=>([(0,7),(1,5),(2,5),(2,7),(5,6),(7,3),(7,4),(7,6)],8)
[6,3,1,7,8,2,5,4]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,7),(4,5),(4,6),(7,3)],8)
[4,6,1,7,8,5,2,3]=>([(0,4),(0,6),(1,5),(1,6),(1,7),(4,7),(5,3),(7,2)],8)
[5,1,2,6,7,8,4,3]=>([(0,7),(1,6),(5,4),(6,2),(6,3),(6,7),(7,5)],8)
[5,2,6,7,8,4,1,3]=>([(0,7),(1,6),(2,3),(2,6),(2,7),(4,5),(7,4)],8)
[5,2,6,7,8,4,3,1]=>([(1,7),(2,4),(2,5),(2,7),(6,3),(7,6)],8)
[2,5,6,7,8,4,1,3]=>([(0,7),(1,3),(1,6),(1,7),(4,5),(5,2),(6,4)],8)
[1,5,2,6,7,8,4,3]=>([(0,4),(0,6),(4,7),(5,3),(6,1),(6,2),(6,7),(7,5)],8)
[1,6,4,7,8,5,2,3]=>([(0,4),(0,5),(0,6),(4,7),(5,2),(6,1),(6,7),(7,3)],8)
[2,6,7,1,3,8,5,4]=>([(0,7),(1,5),(1,7),(4,6),(5,4),(7,2),(7,3),(7,6)],8)
[6,7,8,2,1,5,4,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4)],8)
[6,7,3,8,5,1,4,2]=>([(0,5),(1,3),(1,6),(2,4),(2,6),(2,7),(5,7)],8)
[6,4,7,8,5,3,1,2]=>([(1,7),(2,5),(3,4),(3,7),(7,6)],8)
[4,5,2,3,7,6,1,8]=>([(0,7),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[6,4,3,7,2,5,1,8]=>([(0,7),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,4,3,6,5,1,2,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,7),(5,7),(6,7)],8)
[1,5,6,3,4,8,7,2]=>([(0,3),(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(4,2),(5,1)],8)
[4,6,2,7,3,5,1,8]=>([(0,7),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5),(5,7),(6,7)],8)
[3,2,6,7,4,5,1,8]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(5,4),(6,3)],8)
[4,7,2,6,5,3,1,8]=>([(0,7),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[5,7,6,2,4,3,1,8]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(5,7),(6,7)],8)
[1,7,5,4,8,3,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,5,4,1,3,2,6]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,8,5,4,2,1,3,7]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(4,7),(6,7)],8)
[5,8,6,2,4,1,3,7]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(4,7),(5,7),(6,7)],8)
[4,8,2,6,5,1,3,7]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[3,2,8,6,5,1,4,7]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[4,1,2,6,5,8,7,3]=>([(0,3),(1,6),(1,7),(3,2),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[5,1,6,2,4,8,7,3]=>([(0,7),(1,4),(1,7),(3,5),(3,6),(4,2),(4,3),(7,5),(7,6)],8)
[6,1,5,4,2,8,7,3]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,6),(5,7)],8)
[7,1,5,4,8,2,6,3]=>([(0,7),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,6)],8)
[8,1,5,4,7,6,2,3]=>([(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[1,8,6,7,4,5,3,2]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(6,2),(7,1)],8)
[8,1,6,7,4,5,2,3]=>([(1,5),(1,6),(1,7),(5,4),(6,3),(7,2)],8)
[7,1,6,8,4,2,5,3]=>([(0,7),(1,3),(1,4),(1,5),(3,7),(4,6),(5,2),(5,6)],8)
[6,1,7,8,2,4,5,3]=>([(0,7),(1,6),(1,7),(5,3),(6,2),(6,5),(7,4)],8)
[5,1,7,2,8,4,6,3]=>([(0,6),(0,7),(1,4),(1,7),(3,6),(4,2),(4,3),(4,5),(7,5)],8)
[4,1,2,7,8,5,6,3]=>([(0,6),(0,7),(1,5),(5,2),(5,6),(5,7),(6,4),(7,3)],8)
[3,2,1,7,8,5,6,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,4),(7,3)],8)
[3,2,8,7,1,5,4,6]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(6,5),(7,5)],8)
[4,8,2,7,1,5,3,6]=>([(0,4),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,7),(4,6),(7,6)],8)
[5,8,7,2,1,4,3,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(5,7),(6,7)],8)
[6,8,7,1,2,4,3,5]=>([(0,6),(1,2),(1,3),(4,7),(5,7),(6,4),(6,5)],8)
[7,8,6,1,4,2,3,5]=>([(1,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)
[8,7,6,1,4,3,2,5]=>([(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,7,6,8,4,3,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,6)],8)
[1,6,7,8,3,4,5,2]=>([(0,3),(0,6),(0,7),(4,2),(5,1),(6,4),(7,5)],8)
[8,6,7,1,3,4,2,5]=>([(1,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)
[7,6,8,1,3,2,4,5]=>([(0,6),(1,6),(2,3),(2,4),(3,7),(4,7),(7,5)],8)
[5,7,8,2,1,3,4,6]=>([(0,6),(1,6),(2,3),(2,7),(3,5),(4,7),(6,4)],8)
[4,7,2,8,1,3,5,6]=>([(0,5),(1,5),(1,7),(2,4),(2,6),(4,7),(5,6),(6,3)],8)
[3,2,6,8,4,1,5,7]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(5,4),(6,5),(7,3),(7,4)],8)
[4,6,2,8,3,1,5,7]=>([(0,7),(1,4),(1,7),(2,3),(2,5),(3,7),(4,5),(4,6),(7,6)],8)
[5,6,8,2,3,1,4,7]=>([(0,6),(1,3),(2,4),(3,5),(3,7),(4,6),(6,7)],8)
[6,5,8,3,2,1,4,7]=>([(0,6),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
[7,5,8,3,1,2,4,6]=>([(0,7),(1,5),(2,5),(2,6),(3,4),(4,7),(7,6)],8)
[8,5,7,3,1,4,2,6]=>([(1,6),(2,4),(2,7),(3,5),(3,6),(5,7),(6,7)],8)
[1,5,7,3,8,4,6,2]=>([(0,3),(0,4),(0,5),(1,7),(2,6),(4,2),(4,7),(5,1),(5,6)],8)
[1,4,3,7,8,5,6,2]=>([(0,3),(0,4),(0,5),(4,6),(4,7),(5,6),(5,7),(6,2),(7,1)],8)
[8,4,3,7,1,5,2,6]=>([(1,5),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(7,6)],8)
[6,4,3,8,2,1,5,7]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(7,5)],8)
[4,5,2,3,8,1,6,7]=>([(0,7),(1,5),(2,4),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[3,2,5,4,8,1,6,7]=>([(0,7),(1,4),(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[4,5,2,3,1,8,7,6]=>([(0,5),(0,6),(0,7),(1,4),(2,3),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,4,3,1,2,8,7,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[7,4,3,1,8,2,6,5]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6)],8)
[8,4,3,1,7,6,2,5]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7)],8)
[1,5,8,3,7,6,4,2]=>([(0,3),(0,4),(0,5),(4,2),(4,6),(4,7),(5,1),(5,6),(5,7)],8)
[8,5,1,3,7,6,2,4]=>([(1,5),(1,6),(2,3),(2,4),(3,7),(4,5),(4,6),(4,7)],8)
[7,5,1,3,8,2,6,4]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(3,5),(3,7),(4,5),(4,6),(4,7)],8)
[6,5,1,3,2,8,7,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,6,1,2,3,8,7,4]=>([(0,5),(1,3),(3,6),(3,7),(4,2),(4,6),(4,7),(5,4)],8)
[4,6,2,1,3,8,7,5]=>([(0,7),(1,7),(2,3),(2,6),(3,4),(3,5),(7,4),(7,5),(7,6)],8)
[3,2,6,1,4,8,7,5]=>([(0,7),(1,4),(1,7),(2,4),(2,7),(4,5),(4,6),(7,3),(7,5),(7,6)],8)
[3,2,7,1,8,4,6,5]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(5,6),(7,3),(7,4)],8)
[4,7,2,1,8,3,6,5]=>([(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,7),(4,5),(4,6)],8)
[5,7,1,2,8,3,6,4]=>([(0,5),(1,3),(1,7),(3,6),(4,2),(4,7),(5,4),(5,6)],8)
[6,7,1,8,2,3,5,4]=>([(0,4),(1,5),(1,7),(4,7),(5,6),(6,2),(6,3)],8)
[7,6,1,8,3,2,5,4]=>([(0,7),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[8,6,1,7,3,5,2,4]=>([(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(4,7)],8)
[1,6,8,7,3,5,4,2]=>([(0,5),(0,6),(0,7),(6,3),(6,4),(7,1),(7,2)],8)
[1,7,8,6,5,3,4,2]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(6,2),(7,1)],8)
[8,7,1,6,5,3,2,4]=>([(2,3),(2,4),(2,5),(2,6),(5,7),(6,7)],8)
[7,8,1,6,5,2,3,4]=>([(0,5),(1,3),(1,4),(1,7),(6,2),(7,6)],8)
[6,8,1,7,2,5,3,4]=>([(0,4),(0,7),(1,6),(1,7),(5,3),(6,2),(6,5)],8)
[5,8,1,2,7,6,3,4]=>([(0,5),(1,3),(1,6),(1,7),(4,2),(5,4),(5,6),(5,7)],8)
[4,8,2,1,7,6,3,5]=>([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(4,5)],8)
[3,2,8,1,7,6,4,5]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[4,1,2,8,7,6,5,3]=>([(0,3),(1,4),(1,5),(1,6),(1,7),(3,2),(3,4),(3,5),(3,6),(3,7)],8)
[5,1,8,2,7,6,4,3]=>([(0,5),(0,6),(0,7),(1,4),(1,7),(4,2),(4,3),(4,5),(4,6)],8)
[6,1,8,7,2,5,4,3]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(5,2),(5,3),(5,4)],8)
[7,1,8,6,5,2,4,3]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3)],8)
[8,1,7,6,5,4,2,3]=>([(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8)
[3,1,2,6,5,8,7,4]=>([(0,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8)
[3,1,6,2,4,8,7,5]=>([(0,3),(0,7),(1,6),(1,7),(3,6),(6,2),(6,4),(6,5),(7,4),(7,5)],8)
[3,1,5,2,4,8,7,6]=>([(0,2),(0,7),(1,6),(1,7),(2,6),(6,3),(6,4),(6,5),(7,3),(7,4),(7,5)],8)
[4,5,1,2,3,8,7,6]=>([(0,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,2)],8)
[4,6,1,2,3,8,7,5]=>([(0,3),(0,7),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(4,2)],8)
[1,6,5,3,4,8,7,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(3,6),(3,7),(4,6),(4,7),(5,1)],8)
[6,1,5,2,4,8,7,3]=>([(0,6),(0,7),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3)],8)
[6,5,1,2,3,8,7,4]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,5),(5,4),(5,6),(5,7)],8)
[6,4,1,2,3,8,7,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(4,5),(4,6),(4,7)],8)
[5,4,1,2,3,8,7,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(4,5),(4,6),(4,7)],8)
[5,4,1,2,7,3,6,8]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,4),(3,7),(4,6),(6,5),(7,5)],8)
[6,4,1,7,2,3,5,8]=>([(0,7),(1,5),(1,7),(2,3),(2,7),(3,4),(4,5),(5,6),(7,6)],8)
[6,4,1,8,2,3,5,7]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,7),(3,4),(4,5),(5,6)],8)
[7,4,1,2,8,3,6,5]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(3,7),(4,5),(4,6)],8)
[7,5,1,2,8,3,6,4]=>([(0,3),(1,7),(2,6),(2,7),(3,5),(3,7),(5,4),(5,6)],8)
[7,1,5,2,8,4,6,3]=>([(0,7),(1,4),(1,5),(3,6),(4,6),(4,7),(5,2),(5,3),(5,7)],8)
[1,7,5,3,8,4,6,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,7),(4,6),(4,7),(5,1),(5,7)],8)
[1,8,5,3,7,4,6,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(4,7),(5,1),(5,7)],8)
[8,1,5,2,7,4,6,3]=>([(1,4),(1,5),(3,6),(4,6),(4,7),(5,2),(5,3),(5,7)],8)
[8,5,1,2,7,3,6,4]=>([(1,3),(2,6),(2,7),(3,5),(3,6),(5,4),(5,7)],8)
[8,4,1,2,7,3,6,5]=>([(1,5),(1,6),(1,7),(2,3),(3,4),(3,7),(4,5),(4,6)],8)
[8,4,1,7,2,3,5,6]=>([(1,6),(1,7),(2,4),(2,6),(4,5),(5,7),(7,3)],8)
[7,4,1,6,2,3,5,8]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6),(5,7),(6,7)],8)
[8,6,1,7,2,3,5,4]=>([(1,7),(2,5),(2,7),(5,6),(6,3),(6,4)],8)
[8,1,6,7,2,4,5,3]=>([(1,6),(1,7),(5,4),(6,2),(7,3),(7,5)],8)
[1,8,6,7,3,4,5,2]=>([(0,3),(0,4),(0,6),(0,7),(5,1),(6,2),(7,5)],8)
[1,7,6,8,3,4,5,2]=>([(0,2),(0,3),(0,4),(0,6),(3,7),(4,7),(5,1),(6,5)],8)
[7,1,6,8,2,4,5,3]=>([(0,7),(1,4),(1,6),(4,7),(5,3),(6,2),(6,5)],8)
[7,6,1,8,2,3,5,4]=>([(0,7),(1,7),(2,5),(2,7),(5,6),(6,3),(6,4)],8)
[4,7,1,2,8,3,6,5]=>([(0,4),(1,3),(1,6),(1,7),(2,6),(2,7),(3,5),(4,2),(4,5)],8)
[3,1,7,2,8,4,6,5]=>([(0,6),(0,7),(1,4),(1,6),(4,5),(4,7),(6,5),(7,2),(7,3)],8)
[3,1,2,7,8,5,6,4]=>([(0,5),(0,6),(0,7),(1,2),(2,5),(2,6),(2,7),(6,4),(7,3)],8)
[1,4,3,8,7,5,6,2]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,1)],8)
[4,1,2,8,7,5,6,3]=>([(0,5),(0,6),(0,7),(1,4),(4,3),(4,5),(4,6),(4,7),(7,2)],8)
[3,1,2,8,7,5,6,4]=>([(0,3),(1,4),(1,5),(1,6),(1,7),(3,4),(3,5),(3,6),(3,7),(7,2)],8)
[3,1,8,2,7,4,6,5]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(4,5),(4,7),(7,2),(7,3)],8)
[3,1,8,7,2,4,5,6]=>([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(3,5),(4,2),(5,4)],8)
[3,1,7,6,2,4,5,8]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(3,4),(4,2),(5,7),(6,7)],8)
[4,7,1,6,2,3,5,8]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,5),(3,7),(4,2),(5,7),(6,7)],8)
[4,8,1,6,2,3,5,7]=>([(0,3),(0,6),(0,7),(1,4),(1,7),(2,6),(4,2),(6,5),(7,5)],8)
[4,8,1,7,2,3,5,6]=>([(0,4),(0,6),(0,7),(1,5),(1,6),(3,7),(5,3),(7,2)],8)
[4,8,1,2,7,3,6,5]=>([(0,4),(1,3),(1,5),(1,6),(1,7),(2,5),(2,6),(4,2),(4,7)],8)
[5,8,1,2,7,3,6,4]=>([(0,5),(1,3),(1,6),(1,7),(4,2),(4,7),(5,4),(5,6)],8)
[5,1,8,2,7,4,6,3]=>([(0,5),(0,6),(0,7),(1,4),(1,7),(3,5),(4,2),(4,3),(4,6)],8)
[1,5,8,3,7,4,6,2]=>([(0,3),(0,4),(0,5),(2,6),(4,2),(4,7),(5,1),(5,6),(5,7)],8)
[1,6,8,7,3,4,5,2]=>([(0,4),(0,6),(0,7),(5,3),(6,5),(7,1),(7,2)],8)
[6,1,8,7,2,4,5,3]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(5,2),(5,4)],8)
[6,8,1,7,2,3,5,4]=>([(0,4),(0,7),(1,5),(1,7),(5,6),(6,2),(6,3)],8)
[6,8,7,1,2,3,4,5]=>([(0,7),(1,3),(1,4),(5,6),(6,2),(7,5)],8)
[5,8,7,1,2,3,4,6]=>([(0,6),(1,2),(1,3),(1,7),(4,7),(5,4),(6,5)],8)
[5,8,6,1,2,3,4,7]=>([(0,6),(1,2),(1,4),(3,7),(4,7),(5,3),(6,5)],8)
[5,7,6,1,2,3,4,8]=>([(0,6),(1,3),(1,4),(2,7),(3,7),(4,7),(5,2),(6,5)],8)
[7,8,1,6,2,3,5,4]=>([(0,5),(1,4),(1,6),(6,7),(7,2),(7,3)],8)
[7,1,8,6,2,4,5,3]=>([(0,7),(1,4),(1,6),(1,7),(5,3),(6,2),(6,5)],8)
[1,7,8,6,3,4,5,2]=>([(0,3),(0,4),(0,6),(0,7),(5,1),(6,2),(7,5)],8)
[1,8,7,6,3,4,5,2]=>([(0,2),(0,3),(0,4),(0,5),(0,7),(6,1),(7,6)],8)
[8,1,7,6,2,4,5,3]=>([(1,4),(1,5),(1,7),(6,3),(7,2),(7,6)],8)
[8,7,1,6,2,3,5,4]=>([(2,5),(2,6),(6,7),(7,3),(7,4)],8)
[3,2,5,1,6,4,8,7]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(5,6),(6,3),(6,4),(7,3),(7,4)],8)
[3,2,5,4,7,1,8,6]=>([(0,3),(0,7),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(5,7),(6,4),(6,7)],8)
[4,2,5,3,7,6,8,1]=>([(1,7),(2,3),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)
[4,2,5,3,7,1,8,6]=>([(0,5),(1,4),(1,7),(2,3),(2,5),(3,6),(3,7),(5,6),(5,7),(6,4)],8)
[4,2,5,3,6,1,8,7]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(3,7),(6,7),(7,4),(7,5)],8)
[4,2,5,1,6,3,8,7]=>([(0,5),(1,6),(1,7),(2,5),(2,7),(5,6),(6,3),(6,4),(7,3),(7,4)],8)
[3,1,5,4,6,2,8,7]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(5,7),(6,7),(7,3),(7,4)],8)
[4,1,5,3,6,2,8,7]=>([(0,6),(1,2),(1,3),(1,6),(2,7),(3,4),(3,5),(6,7),(7,4),(7,5)],8)
[4,3,5,1,6,2,8,7]=>([(0,6),(1,6),(2,3),(2,7),(3,4),(3,5),(6,7),(7,4),(7,5)],8)
[4,3,5,2,7,1,8,6]=>([(0,4),(1,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[4,3,6,2,7,5,8,1]=>([(1,4),(1,7),(2,4),(2,7),(3,6),(3,7),(4,6),(6,5),(7,5)],8)
[4,3,6,2,7,1,8,5]=>([(0,4),(0,7),(1,4),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(6,5)],8)
[4,3,6,1,7,2,8,5]=>([(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(3,6),(3,7),(4,5),(5,6)],8)
[4,3,5,1,7,2,8,6]=>([(0,7),(1,7),(2,3),(2,6),(3,4),(3,5),(6,5),(7,4),(7,6)],8)
[3,1,5,4,7,2,8,6]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,7),(4,3),(5,4),(5,7),(6,4),(6,7)],8)
[2,1,5,4,7,3,8,6]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3),(4,7),(5,3),(5,7),(6,2),(6,7)],8)
[3,1,5,4,7,6,8,2]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)
[4,1,5,3,7,6,8,2]=>([(0,7),(1,2),(1,3),(1,7),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)
[4,3,5,1,7,6,8,2]=>([(0,7),(1,7),(2,3),(2,5),(2,6),(5,4),(6,4),(7,5),(7,6)],8)
[4,3,6,1,7,5,8,2]=>([(0,4),(0,7),(1,4),(1,7),(2,3),(2,6),(2,7),(4,6),(6,5),(7,5)],8)
[4,3,6,5,7,1,8,2]=>([(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(5,4),(6,5),(7,5)],8)
[5,3,6,4,7,2,8,1]=>([(1,5),(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[5,3,6,4,7,1,8,2]=>([(0,5),(1,4),(1,5),(2,3),(2,6),(4,7),(5,7),(7,6)],8)
[5,3,6,1,7,4,8,2]=>([(0,6),(1,6),(1,7),(2,3),(2,5),(2,7),(5,4),(6,5),(7,4)],8)
[5,1,6,3,7,4,8,2]=>([(0,7),(1,3),(1,4),(1,7),(2,6),(4,2),(4,5),(5,6),(7,5)],8)
[4,1,6,3,7,5,8,2]=>([(0,2),(0,3),(0,7),(1,6),(1,7),(3,5),(3,6),(5,4),(6,4),(7,5)],8)
[3,1,6,4,7,5,8,2]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(3,4),(5,4),(6,5),(7,3),(7,5)],8)
[2,1,6,4,7,5,8,3]=>([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(5,3),(6,5),(7,2),(7,5)],8)
[2,1,6,4,7,3,8,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(5,4),(6,2),(6,3),(7,2),(7,4)],8)
[3,1,6,4,7,2,8,5]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(5,4),(6,5),(7,3),(7,5)],8)
[4,1,6,3,7,2,8,5]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(2,5),(2,7),(3,4),(3,7),(5,4),(6,5)],8)
[5,1,6,3,7,2,8,4]=>([(0,7),(1,2),(1,3),(1,7),(2,4),(2,5),(3,5),(3,6),(6,4),(7,6)],8)
[5,3,6,1,7,2,8,4]=>([(0,7),(1,3),(1,6),(2,5),(2,7),(3,4),(3,5),(6,4),(7,6)],8)
[5,3,6,2,7,1,8,4]=>([(0,4),(1,4),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(6,5)],8)
[5,3,6,2,7,4,8,1]=>([(1,5),(2,4),(2,6),(3,4),(3,5),(4,7),(5,6),(6,7)],8)
[5,2,6,3,7,4,8,1]=>([(1,5),(2,3),(2,5),(3,4),(3,7),(4,6),(5,7),(7,6)],8)
[5,2,6,3,7,1,8,4]=>([(0,7),(1,3),(1,7),(2,4),(2,5),(3,5),(3,6),(6,4),(7,6)],8)
[5,2,6,1,7,3,8,4]=>([(0,6),(1,5),(1,7),(2,6),(2,7),(5,4),(6,5),(7,3),(7,4)],8)
[4,2,5,1,7,3,8,6]=>([(0,6),(1,6),(1,7),(2,5),(2,7),(5,4),(6,3),(6,5),(7,3),(7,4)],8)
[4,2,6,1,7,3,8,5]=>([(0,4),(0,6),(1,6),(1,7),(2,5),(2,7),(5,3),(6,5),(7,3),(7,4)],8)
[4,2,6,3,7,1,8,5]=>([(0,4),(0,7),(1,5),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(6,5)],8)
[4,2,6,3,7,5,8,1]=>([(1,3),(1,5),(2,5),(2,7),(3,6),(3,7),(5,6),(6,4),(7,4)],8)
[3,2,6,4,7,5,8,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(5,4),(6,5),(7,3),(7,5)],8)
[3,2,6,4,7,1,8,5]=>([(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(5,4),(6,5),(7,3),(7,5)],8)
[3,2,6,1,7,4,8,5]=>([(0,4),(0,7),(1,4),(1,7),(2,6),(2,7),(4,6),(6,5),(7,3),(7,5)],8)
[3,2,5,1,7,4,8,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(5,4),(6,3),(6,5),(7,3),(7,4)],8)
[3,2,4,1,7,5,8,6]=>([(0,7),(1,7),(2,5),(2,6),(5,4),(6,3),(6,4),(7,5),(7,6)],8)
[3,1,4,2,7,6,8,5]=>([(0,7),(1,2),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,4),(7,5),(7,6)],8)
[3,2,5,1,7,6,8,4]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(4,3),(5,3),(6,4),(6,5)],8)
[3,2,6,1,7,5,8,4]=>([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(5,4),(7,4)],8)
[3,2,6,5,7,1,8,4]=>([(0,3),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(4,3),(5,4),(6,4)],8)
[4,2,6,5,7,3,8,1]=>([(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(5,4),(6,5),(7,5)],8)
[4,2,6,5,7,1,8,3]=>([(0,6),(0,7),(1,3),(1,4),(2,4),(2,6),(2,7),(5,3),(6,5),(7,5)],8)
[4,2,6,1,7,5,8,3]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(5,3),(6,5),(7,3)],8)
[4,2,5,1,7,6,8,3]=>([(0,7),(1,4),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,5),(7,6)],8)
[4,1,5,2,7,6,8,3]=>([(0,7),(1,3),(1,7),(3,2),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)
[3,1,5,2,7,6,8,4]=>([(0,2),(0,7),(1,4),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,5),(7,6)],8)
[2,1,5,3,7,6,8,4]=>([(0,6),(0,7),(1,6),(1,7),(4,3),(5,3),(6,4),(6,5),(7,2),(7,4),(7,5)],8)
[2,1,6,3,7,5,8,4]=>([(0,6),(0,7),(1,6),(1,7),(3,4),(5,4),(6,5),(7,2),(7,3),(7,5)],8)
[3,1,6,2,7,5,8,4]=>([(0,2),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,5)],8)
[4,1,6,2,7,5,8,3]=>([(0,3),(0,7),(1,6),(1,7),(3,2),(3,5),(3,6),(5,4),(6,4),(7,5)],8)
[5,1,6,2,7,4,8,3]=>([(0,7),(1,4),(1,7),(3,6),(4,2),(4,3),(4,5),(5,6),(7,5)],8)
[5,2,6,1,7,4,8,3]=>([(0,6),(1,4),(1,5),(1,7),(2,4),(2,6),(2,7),(5,3),(6,5),(7,3)],8)
[5,2,6,4,7,1,8,3]=>([(0,7),(1,4),(1,5),(2,3),(2,5),(2,7),(3,6),(6,4),(7,6)],8)
[5,2,6,4,7,3,8,1]=>([(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(5,6),(6,7)],8)
[5,4,6,2,7,3,8,1]=>([(1,5),(2,5),(3,4),(3,6),(4,7),(5,6),(6,7)],8)
[5,4,6,2,7,1,8,3]=>([(0,5),(1,5),(2,4),(2,7),(3,4),(3,6),(5,6),(6,7)],8)
[5,4,6,1,7,2,8,3]=>([(0,5),(1,5),(2,3),(2,6),(3,4),(3,7),(5,6),(6,7)],8)
[5,1,6,4,7,2,8,3]=>([(0,7),(1,3),(1,4),(1,7),(3,5),(4,2),(4,6),(5,6),(7,5)],8)
[4,1,6,5,7,2,8,3]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(3,2),(3,4),(5,4),(6,5),(7,5)],8)
[3,1,6,5,7,2,8,4]=>([(0,2),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(5,3),(6,5),(7,5)],8)
[2,1,6,5,7,3,8,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(5,4),(6,4),(7,2),(7,3)],8)
[3,1,6,5,7,4,8,2]=>([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(4,3),(5,4),(6,4),(7,3)],8)
[4,1,6,5,7,3,8,2]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(3,4),(5,4),(6,5),(7,5)],8)
[5,1,6,4,7,3,8,2]=>([(0,7),(1,2),(1,3),(1,4),(1,7),(3,6),(4,5),(5,6),(7,5)],8)
[5,4,6,1,7,3,8,2]=>([(0,5),(1,5),(2,3),(2,4),(2,6),(4,7),(5,6),(6,7)],8)
[5,4,6,3,7,1,8,2]=>([(0,5),(1,5),(2,7),(3,4),(3,6),(5,7),(7,6)],8)
[8,3,5,2,1,6,4,7]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,7),(6,5),(7,5)],8)
[8,6,3,5,2,4,1,7]=>([(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[3,7,5,2,4,1,8,6]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,7,5,2,4,6,1]=>([(2,6),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[8,2,4,5,7,3,6,1]=>([(2,4),(2,5),(4,7),(5,6),(6,3),(6,7)],8)
[2,4,5,7,3,1,8,6]=>([(0,6),(0,7),(1,3),(1,4),(2,6),(3,6),(3,7),(4,5),(5,2),(5,7)],8)
[8,2,4,6,5,3,1,7]=>([(1,7),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[8,2,5,4,6,1,3,7]=>([(1,5),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[8,6,3,5,1,4,2,7]=>([(1,7),(2,5),(2,6),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[8,6,1,4,5,3,2,7]=>([(1,7),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[8,1,5,6,4,3,2,7]=>([(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2)],8)
[5,7,4,3,2,1,8,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[8,5,7,4,3,2,6,1]=>([(2,7),(3,7),(4,7),(5,6),(5,7)],8)
[4,6,8,3,2,7,5,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7)],8)
[4,7,6,3,2,8,1,5]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[1,4,6,7,3,2,8,5]=>([(0,2),(0,3),(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,1),(5,4),(5,6)],8)
[5,4,7,3,1,8,2,6]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)
[1,7,4,5,3,2,8,6]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1)],8)
[3,7,5,1,4,2,8,6]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,4,2,1,3,8,6]=>([(0,6),(0,7),(1,5),(2,5),(3,4),(3,6),(4,7),(5,6),(5,7)],8)
[8,5,7,4,2,1,6,3]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7)],8)
[8,3,7,5,1,4,6,2]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(5,7),(6,7)],8)
[8,4,1,7,5,3,6,2]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(6,7)],8)
[4,6,3,8,7,1,5,2]=>([(0,5),(0,6),(0,7),(1,3),(1,7),(2,4),(2,7),(4,5),(4,6)],8)
[1,7,4,8,6,3,5,2]=>([(0,2),(0,3),(0,4),(0,5),(3,7),(4,6),(5,1),(5,6),(5,7)],8)
[8,4,7,6,3,5,2,1]=>([(3,7),(4,5),(4,6),(4,7)],8)
[3,6,5,8,7,4,1,2]=>([(0,5),(1,2),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7)],8)
[3,1,5,8,6,7,4,2]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(5,3),(7,2),(7,5)],8)
[4,8,1,6,7,3,5,2]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(4,6),(7,2)],8)
[3,6,4,1,8,7,5,2]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(2,6),(2,7),(3,5),(3,6),(3,7)],8)
[8,2,6,1,4,7,5,3]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(6,3),(6,7)],8)
[2,7,6,8,1,4,3,5]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(3,5),(6,4),(7,4)],8)
[3,7,1,6,4,8,2,5]=>([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,7),(3,4),(5,7),(6,4),(6,7)],8)
[1,7,3,5,6,8,2,4]=>([(0,2),(0,3),(0,5),(1,7),(2,6),(3,7),(4,1),(5,4),(5,6)],8)
[1,3,6,7,5,8,2,4]=>([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(5,4),(5,7)],8)
[3,7,6,5,8,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7)],8)
[3,6,8,5,7,2,4,1]=>([(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(4,7)],8)
[2,3,5,7,6,8,1,4]=>([(0,7),(1,4),(2,6),(3,6),(4,5),(4,7),(5,2),(5,3)],8)
[2,1,6,5,7,8,3,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,2),(5,3),(6,4),(7,4)],8)
[4,2,7,6,8,3,1,5]=>([(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(5,6)],8)
[4,2,6,8,7,3,5,1]=>([(1,6),(1,7),(2,3),(2,6),(3,7),(6,4),(6,5)],8)
[3,8,2,4,6,7,5,1]=>([(1,7),(2,4),(2,7),(6,3),(7,5),(7,6)],8)
[3,7,2,6,4,8,1,5]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(5,7)],8)
[3,2,6,1,4,7,8,5]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(5,6),(6,3),(7,4),(7,6)],8)
[5,3,7,2,1,8,4,6]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,6),(3,4),(3,5),(4,7),(6,5)],8)
[4,7,3,2,1,5,8,6]=>([(0,7),(1,7),(2,7),(3,5),(3,7),(5,6),(7,4),(7,6)],8)
[8,7,6,1,3,4,2,5]=>([(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,7,3,2,1,6,4]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7)],8)
[8,3,6,7,2,1,5,4]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8)
[3,7,8,6,2,1,5,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(4,5)],8)
[8,7,6,3,5,2,4,1]=>([(4,7),(5,6),(5,7)],8)
[2,7,4,8,1,6,5,3]=>([(0,2),(0,3),(0,7),(1,4),(1,5),(1,7),(2,6),(3,4),(3,5),(3,6)],8)
[4,6,8,2,1,7,5,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(3,4),(3,7)],8)
[8,4,1,5,7,2,6,3]=>([(1,6),(2,3),(2,6),(3,5),(3,7),(6,4),(6,7)],8)
[8,5,3,7,1,6,2,4]=>([(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,6)],8)
[8,5,7,2,1,3,6,4]=>([(1,7),(2,7),(3,5),(3,6),(7,4),(7,6)],8)
[8,2,6,7,1,3,5,4]=>([(1,7),(2,6),(2,7),(6,3),(7,4),(7,5)],8)
[8,3,6,1,7,5,2,4]=>([(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,7),(4,6)],8)
[4,6,1,8,7,2,5,3]=>([(0,3),(0,7),(1,4),(1,5),(1,6),(3,5),(3,6),(4,2),(4,7)],8)
[8,1,2,5,6,7,4,3]=>([(1,7),(5,6),(6,4),(7,2),(7,3),(7,5)],8)
[8,2,6,5,7,4,1,3]=>([(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[2,1,7,8,5,6,4,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8)
[8,2,5,7,6,4,3,1]=>([(2,5),(2,6),(2,7),(7,3),(7,4)],8)
[2,7,6,8,5,4,1,3]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(4,6),(5,6)],8)
[1,7,2,5,8,6,4,3]=>([(0,4),(0,6),(4,7),(5,3),(5,7),(6,1),(6,2),(6,5)],8)
[1,7,4,8,2,6,5,3]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(3,7),(4,1),(4,6),(4,7)],8)
[3,7,8,1,6,5,2,4]=>([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(3,5),(4,2)],8)
[2,7,8,6,1,3,5,4]=>([(0,7),(1,3),(1,6),(1,7),(6,2),(7,4),(7,5)],8)
[8,7,6,3,5,1,4,2]=>([(3,6),(3,7),(4,5),(4,7)],8)
[8,4,7,6,5,1,3,2]=>([(1,6),(1,7),(2,3),(2,4),(2,5)],8)
[8,7,1,5,6,4,3,2]=>([(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[8,1,6,7,5,4,3,2]=>([(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8)
[6,5,3,1,2,4,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,5),(5,6),(5,7)],8)
[4,6,3,5,1,2,8,7]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,3,7,2,1,4,6]=>([(1,7),(2,7),(3,5),(3,7),(4,5),(4,6),(7,6)],8)
[6,8,1,4,5,7,3,2]=>([(0,5),(0,7),(1,2),(1,3),(1,6),(4,7),(6,4)],8)
[8,7,2,4,5,1,3,6]=>([(2,6),(3,4),(3,6),(4,5),(5,7),(6,7)],8)
[3,6,2,4,5,1,8,7]=>([(0,6),(0,7),(1,5),(2,3),(2,5),(3,6),(3,7),(4,6),(4,7),(5,4)],8)
[2,6,1,4,5,3,8,7]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[6,1,2,4,5,3,8,7]=>([(0,6),(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,3),(5,2),(5,4)],8)
[5,6,3,2,1,4,8,7]=>([(0,7),(1,7),(2,7),(3,4),(4,5),(4,6),(7,5),(7,6)],8)
[5,4,3,6,1,2,8,7]=>([(0,7),(1,7),(2,7),(3,4),(4,5),(4,6),(7,5),(7,6)],8)
[6,3,1,4,5,2,8,7]=>([(0,6),(0,7),(1,5),(2,3),(2,5),(3,6),(3,7),(4,6),(4,7),(5,4)],8)
[3,1,6,4,5,2,8,7]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[8,3,7,4,5,1,2,6]=>([(1,5),(2,3),(2,6),(4,7),(5,7),(6,4)],8)
[5,8,7,4,2,6,3,1]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8)
[2,8,7,4,1,6,3,5]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(4,5),(4,6),(7,5)],8)
[8,1,7,4,2,6,3,5]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(4,7),(5,3),(5,7)],8)
[3,7,8,4,5,1,2,6]=>([(0,4),(1,5),(1,6),(3,7),(4,7),(5,2),(6,3)],8)
[2,1,8,7,5,3,4,6]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(6,2),(7,3)],8)
[2,1,6,8,5,7,3,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(5,3),(6,4),(7,2),(7,4)],8)
[5,6,3,8,1,7,2,4]=>([(0,5),(0,6),(0,7),(1,4),(2,3),(2,7),(3,5),(4,6),(4,7)],8)
[7,6,1,4,5,8,3,2]=>([(0,7),(1,7),(2,3),(2,4),(2,6),(5,7),(6,5)],8)
[3,7,6,4,5,8,2,1]=>([(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[8,5,7,4,1,6,3,2]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8)
[5,1,8,4,7,6,2,3]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(3,5),(3,6),(4,2)],8)
[2,5,8,4,7,6,1,3]=>([(0,7),(1,3),(1,4),(1,7),(3,5),(3,6),(4,2),(4,5),(4,6)],8)
[2,4,8,3,5,6,7,1]=>([(1,4),(1,5),(4,7),(5,3),(5,7),(6,2),(7,6)],8)
[4,1,8,3,5,6,7,2]=>([(0,6),(0,7),(1,3),(1,4),(1,7),(4,6),(5,2),(6,5)],8)
[3,8,4,2,5,6,7,1]=>([(1,7),(2,4),(2,5),(5,7),(6,3),(7,6)],8)
[8,4,1,3,5,6,7,2]=>([(1,7),(2,4),(2,5),(5,7),(6,3),(7,6)],8)
[7,5,8,4,3,6,1,2]=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5)],8)
[6,5,3,8,4,1,7,2]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(5,7)],8)
[2,1,5,8,4,6,7,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,2),(6,4),(7,3),(7,4)],8)
[2,1,4,8,3,6,7,5]=>([(0,6),(0,7),(1,6),(1,7),(5,3),(6,4),(6,5),(7,2),(7,4),(7,5)],8)
[6,4,3,8,2,1,7,5]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,3,8,4,2,6,1,5]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7)],8)
[8,3,1,2,5,6,7,4]=>([(1,6),(1,7),(2,4),(3,5),(4,6),(4,7),(7,3)],8)
[3,1,8,2,5,6,7,4]=>([(0,5),(0,6),(0,7),(1,3),(1,7),(3,5),(3,6),(4,2),(6,4)],8)
[2,3,8,1,5,6,7,4]=>([(0,6),(0,7),(1,4),(4,3),(4,6),(4,7),(5,2),(7,5)],8)
[4,3,8,2,5,6,7,1]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(7,4)],8)
[4,8,2,3,5,6,7,1]=>([(1,5),(2,4),(2,7),(5,7),(6,3),(7,6)],8)
[3,8,2,1,5,6,7,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(4,5),(7,4)],8)
[2,8,1,3,5,6,7,4]=>([(0,7),(1,3),(1,7),(5,2),(6,5),(7,4),(7,6)],8)
[8,1,2,3,5,6,7,4]=>([(1,6),(4,5),(5,2),(6,7),(7,3),(7,4)],8)
[7,8,2,4,3,6,1,5]=>([(0,7),(1,3),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,3,2,4,1,7,5]=>([(0,6),(0,7),(1,5),(2,5),(3,4),(3,7),(5,6),(5,7)],8)
[2,1,8,3,4,6,7,5]=>([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(5,4),(7,5)],8)
[2,1,7,8,5,4,3,6]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,2)],8)
[5,7,3,8,1,4,2,6]=>([(0,5),(0,6),(1,3),(1,7),(2,4),(2,5),(3,6),(4,7),(5,7)],8)
[7,1,8,4,5,3,2,6]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,2)],8)
[2,7,8,4,5,3,1,6]=>([(0,7),(1,4),(1,5),(1,6),(3,7),(4,7),(5,3),(6,2)],8)
[8,7,1,4,3,6,2,5]=>([(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,7,4,2,6,1,5]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(5,6),(5,7)],8)
[5,7,8,4,3,6,2,1]=>([(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,6,3,8,4,2,7,1]=>([(1,7),(2,5),(3,4),(3,6),(4,7),(5,6),(5,7)],8)
[4,8,3,6,2,1,7,5]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(5,6)],8)
[8,6,3,1,4,2,7,5]=>([(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,3,8,2,4,1,6]=>([(0,7),(1,6),(2,6),(2,7),(3,5),(4,5),(4,6),(5,7)],8)
[2,4,3,1,8,5,7,6]=>([(0,6),(0,7),(1,4),(1,5),(4,6),(4,7),(5,6),(5,7),(7,2),(7,3)],8)
[4,1,3,2,6,8,7,5]=>([(0,6),(0,7),(1,4),(1,5),(4,6),(4,7),(5,6),(5,7),(7,2),(7,3)],8)
[7,5,3,6,2,8,1,4]=>([(0,7),(1,6),(2,6),(2,7),(3,5),(4,5),(4,6),(5,7)],8)
[8,6,3,5,1,2,7,4]=>([(1,7),(2,5),(3,4),(3,6),(4,7),(5,6),(5,7)],8)
[5,8,3,2,6,1,7,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(3,4),(3,7),(7,5)],8)
[4,5,3,8,6,2,7,1]=>([(1,5),(2,6),(2,7),(3,4),(4,6),(4,7),(7,5)],8)
[3,5,8,4,7,6,2,1]=>([(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,8,2,4,7,6,1,3]=>([(0,5),(1,4),(1,5),(2,3),(2,6),(2,7),(4,6),(4,7)],8)
[8,7,5,4,1,6,2,3]=>([(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,7,6,4,5,8,1,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,2)],8)
[7,1,6,4,5,8,2,3]=>([(0,7),(1,4),(1,5),(1,6),(3,7),(4,7),(5,3),(6,2)],8)
[5,7,3,6,1,8,2,4]=>([(0,5),(0,6),(1,3),(1,7),(2,4),(2,5),(3,6),(4,7),(5,7)],8)
[2,1,7,6,5,8,3,4]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,2)],8)
[2,1,8,5,3,6,7,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,2),(6,4),(7,3),(7,4)],8)
[6,8,3,5,2,1,7,4]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(5,7)],8)
[7,8,5,4,2,6,1,3]=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5)],8)
[8,1,4,2,5,6,7,3]=>([(1,4),(1,5),(4,7),(5,3),(5,7),(6,2),(7,6)],8)
[2,8,4,1,5,6,7,3]=>([(0,6),(0,7),(1,3),(1,4),(1,7),(4,6),(5,2),(6,5)],8)
[4,8,1,2,5,6,7,3]=>([(0,6),(1,4),(1,7),(5,3),(6,2),(6,7),(7,5)],8)
[3,4,8,1,5,6,7,2]=>([(0,6),(1,4),(1,7),(5,3),(6,2),(6,7),(7,5)],8)
[3,4,2,8,5,6,7,1]=>([(1,6),(1,7),(2,4),(3,5),(4,6),(4,7),(7,3)],8)
[2,4,1,8,5,6,7,3]=>([(0,5),(0,6),(0,7),(1,3),(1,7),(3,5),(3,6),(4,2),(6,4)],8)
[4,1,2,8,5,6,7,3]=>([(0,6),(0,7),(1,4),(4,3),(4,6),(4,7),(5,2),(7,5)],8)
[8,4,2,1,5,6,7,3]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(7,4)],8)
[7,5,2,4,8,6,1,3]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7)],8)
[6,5,3,2,8,1,7,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[2,1,5,3,8,6,7,4]=>([(0,6),(0,7),(1,6),(1,7),(5,3),(6,4),(6,5),(7,2),(7,4),(7,5)],8)
[6,4,3,5,8,1,7,2]=>([(0,6),(0,7),(1,5),(2,5),(3,4),(3,7),(5,6),(5,7)],8)
[7,3,5,4,8,6,1,2]=>([(0,7),(1,3),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,4,1,5,6,7,2]=>([(1,5),(2,4),(2,7),(5,7),(6,3),(7,6)],8)
[4,3,1,8,5,6,7,2]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(4,5),(7,4)],8)
[3,1,4,8,5,6,7,2]=>([(0,7),(1,3),(1,7),(5,2),(6,5),(7,4),(7,6)],8)
[6,5,3,7,2,8,4,1]=>([(1,7),(2,7),(3,5),(3,7),(4,5),(4,6),(7,6)],8)
[6,3,7,4,5,8,2,1]=>([(2,6),(3,4),(3,6),(4,5),(5,7),(6,7)],8)
[6,7,2,4,5,8,3,1]=>([(1,5),(2,3),(2,6),(4,7),(5,7),(6,4)],8)
[5,1,7,4,8,6,3,2]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(4,5),(4,6),(7,5)],8)
[2,5,7,4,8,6,3,1]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(4,7),(5,3),(5,7)],8)
[5,6,3,7,1,8,4,2]=>([(0,5),(0,7),(1,4),(2,3),(2,5),(2,6),(4,7),(7,6)],8)
[3,8,7,4,5,2,1,6]=>([(0,7),(1,7),(2,3),(2,4),(2,6),(5,7),(6,5)],8)
[3,7,5,4,8,6,2,1]=>([(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,1,4,8,6,2,3]=>([(0,4),(0,7),(1,3),(1,5),(3,6),(3,7),(4,6),(5,2)],8)
[5,6,3,1,8,2,7,4]=>([(0,5),(0,6),(0,7),(1,3),(2,4),(2,6),(3,6),(3,7),(4,5),(4,7)],8)
[4,6,3,5,8,2,7,1]=>([(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,3,8,1,2,7,5]=>([(0,5),(0,6),(0,7),(1,3),(2,4),(2,6),(3,6),(3,7),(4,5),(4,7)],8)
[3,7,8,4,1,6,2,5]=>([(0,4),(0,7),(1,3),(1,5),(3,6),(3,7),(4,6),(5,2)],8)
[3,2,5,1,6,8,4,7]=>([(0,6),(0,7),(1,4),(1,7),(2,4),(2,7),(4,6),(6,3),(6,5),(7,5)],8)
[3,6,2,5,4,8,1,7]=>([(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,2,4,7,1,8,6]=>([(0,5),(1,4),(1,7),(2,3),(2,5),(3,6),(3,7),(5,6),(5,7),(6,4)],8)
[3,5,8,2,4,7,6,1]=>([(1,5),(2,3),(2,5),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
[4,2,5,8,3,7,6,1]=>([(1,5),(2,4),(2,5),(4,6),(4,7),(5,3),(5,6),(5,7)],8)
[4,2,6,5,3,8,1,7]=>([(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,2,1,6,8,3,7]=>([(0,7),(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(7,4),(7,6)],8)
[6,3,5,1,4,8,2,7]=>([(0,6),(0,7),(1,3),(1,5),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,1,5,3,8,2,7]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,6,4,3,8,2,7]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,3,2,7,1,8,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(6,5)],8)
[5,4,3,8,2,7,6,1]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,3,6,2,8,7,5,1]=>([(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8)
[4,3,7,6,2,1,8,5]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[6,4,3,1,7,2,8,5]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(7,5)],8)
[7,5,4,3,1,8,2,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
[1,4,7,5,8,3,2,6]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(2,7),(3,7),(4,7),(5,1),(5,2)],8)
[7,1,3,5,8,4,2,6]=>([(0,6),(1,3),(1,5),(2,7),(3,7),(4,6),(4,7),(5,2),(5,4)],8)
[7,2,5,8,4,1,3,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,7)],8)
[2,8,5,7,4,6,1,3]=>([(0,7),(1,3),(1,4),(1,5),(1,7),(4,6),(5,2),(5,6)],8)
[3,5,8,7,1,4,6,2]=>([(0,4),(0,7),(1,5),(1,7),(5,2),(5,3),(5,6),(7,6)],8)
[1,4,5,8,7,3,6,2]=>([(0,3),(0,4),(0,5),(4,7),(5,6),(6,1),(6,2),(6,7)],8)
[1,5,4,8,7,3,6,2]=>([(0,1),(0,2),(0,3),(0,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,4,3,8,1,7,5,2]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)
[4,3,7,1,8,6,5,2]=>([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(4,5)],8)
[4,8,3,7,6,5,2,1]=>([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[5,3,8,7,6,4,2,1]=>([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[7,5,3,1,8,6,4,2]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,8,6,5,3,7,4,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,1),(6,7)],8)
[1,5,8,6,3,7,4,2]=>([(0,4),(0,5),(0,6),(3,7),(5,2),(5,7),(6,1),(6,3)],8)
[4,6,1,8,7,3,5,2]=>([(0,4),(0,7),(1,2),(1,3),(1,5),(1,6),(3,7),(4,5),(4,6)],8)
[6,8,7,3,1,4,5,2]=>([(0,7),(1,5),(1,7),(2,3),(2,4),(7,6)],8)
[6,2,8,7,4,5,1,3]=>([(0,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4)],8)
[7,6,2,8,4,1,3,5]=>([(0,7),(1,7),(2,5),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
[7,3,1,6,8,4,2,5]=>([(0,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(6,4),(7,5)],8)
[1,7,6,4,8,3,2,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8)
[5,7,1,6,3,2,8,4]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,7),(3,5),(3,7),(4,7),(6,7)],8)
[6,1,7,5,3,2,8,4]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
[7,6,5,3,2,1,8,4]=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,3,2,8,7,4,1]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,2,6,3,8,7,4,1]=>([(1,5),(2,3),(2,5),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
[5,2,7,6,3,1,8,4]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,7),(5,7)],8)
[6,5,2,1,7,3,8,4]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,5)],8)
[5,2,7,4,1,8,3,6]=>([(0,5),(0,7),(1,4),(1,6),(2,3),(2,4),(2,5),(3,6),(3,7),(4,7),(5,6)],8)
[4,7,2,6,3,1,8,5]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,5),(2,6),(3,7),(4,6),(4,7),(5,7)],8)
[2,4,8,6,3,7,5,1]=>([(1,4),(1,5),(3,6),(4,6),(4,7),(5,2),(5,3),(5,7)],8)
[3,8,6,2,4,7,5,1]=>([(1,6),(2,3),(2,4),(2,6),(4,7),(6,5),(6,7)],8)
[7,3,6,2,4,1,8,5]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[3,6,7,2,1,4,8,5]=>([(0,7),(1,7),(2,3),(2,7),(3,5),(5,6),(7,4),(7,6)],8)
[4,3,7,8,2,1,5,6]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8)
[8,3,7,1,4,6,2,5]=>([(1,3),(1,6),(2,4),(2,6),(4,7),(6,5),(6,7)],8)
[3,8,2,5,7,1,6,4]=>([(0,6),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(6,3),(6,5)],8)
[8,3,6,2,7,1,5,4]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8)
[7,8,3,6,2,1,5,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8)
[8,7,3,6,2,5,4,1]=>([(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,7,8,2,1,6,5,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4)],8)
[4,2,6,8,1,7,5,3]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(6,3),(6,5)],8)
[5,4,8,2,7,1,6,3]=>([(0,5),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8)
[4,8,1,5,7,2,6,3]=>([(0,4),(0,7),(1,5),(1,7),(5,3),(5,6),(7,2),(7,6)],8)
[5,8,3,7,1,6,2,4]=>([(0,5),(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,7),(4,6)],8)
[5,8,7,2,6,1,3,4]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(7,3)],8)
[8,6,2,7,5,1,3,4]=>([(1,7),(2,6),(3,5),(3,6),(3,7),(7,4)],8)
[3,6,8,1,7,5,2,4]=>([(0,3),(0,6),(0,7),(1,4),(1,5),(1,7),(3,5),(4,2),(4,6)],8)
[5,1,6,8,2,7,4,3]=>([(0,7),(1,5),(1,7),(5,3),(5,4),(5,6),(7,2),(7,6)],8)
[6,5,2,8,1,7,4,3]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[5,2,7,1,8,6,4,3]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3)],8)
[5,8,2,7,6,4,3,1]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7)],8)
[6,2,8,7,5,4,3,1]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[7,6,2,1,8,5,4,3]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[6,1,7,2,8,5,4,3]=>([(0,7),(1,5),(1,7),(5,2),(5,3),(5,4),(5,6),(7,6)],8)
[7,5,1,8,2,6,4,3]=>([(0,7),(1,3),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6)],8)
[4,7,1,8,6,2,5,3]=>([(0,3),(0,6),(0,7),(1,4),(1,5),(1,7),(3,5),(4,2),(4,6)],8)
[7,8,3,1,6,5,2,4]=>([(0,5),(0,6),(0,7),(1,3),(2,4),(2,5),(2,6),(4,7)],8)
[8,7,4,6,1,5,3,2]=>([(2,6),(2,7),(3,4),(3,5),(3,7)],8)
[8,5,7,1,6,4,3,2]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7)],8)
[6,8,1,7,5,4,3,2]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7)],8)
[7,1,8,6,5,4,3,2]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)
[5,4,2,3,7,6,1,8]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5),(7,5)],8)
[6,4,2,7,3,5,1,8]=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(5,7),(6,7)],8)
[7,4,2,6,3,5,1,8]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,2,6,3,1,5,7]=>([(1,7),(2,5),(2,7),(3,4),(3,5),(4,7),(5,6),(7,6)],8)
[3,2,7,6,4,5,1,8]=>([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[4,7,2,6,3,5,1,8]=>([(0,7),(1,3),(1,5),(2,4),(2,5),(2,6),(3,6),(4,7),(5,7),(6,7)],8)
[5,7,6,2,3,4,1,8]=>([(0,7),(1,6),(2,4),(2,5),(3,7),(4,7),(5,7),(6,3)],8)
[1,6,5,2,3,8,4,7]=>([(0,2),(0,3),(0,5),(1,6),(2,6),(2,7),(3,6),(3,7),(4,1),(4,7),(5,4)],8)
[1,7,5,2,8,3,4,6]=>([(0,2),(0,3),(0,5),(1,6),(2,7),(3,6),(3,7),(4,1),(5,4),(5,7)],8)
[6,8,5,2,3,1,4,7]=>([(0,7),(1,6),(2,5),(3,4),(3,7),(5,6),(6,7)],8)
[5,8,6,2,3,1,4,7]=>([(0,6),(1,5),(2,3),(2,4),(4,7),(5,6),(6,7)],8)
[4,8,2,6,3,1,5,7]=>([(0,7),(1,4),(1,5),(2,3),(2,5),(2,7),(4,7),(5,6),(7,6)],8)
[3,2,8,6,4,1,5,7]=>([(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(5,3),(6,5),(7,3)],8)
[3,2,1,6,4,8,5,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(6,4),(6,5),(7,3),(7,4)],8)
[7,1,5,2,8,3,4,6]=>([(0,7),(1,3),(1,5),(2,6),(3,6),(3,7),(4,2),(5,4),(5,7)],8)
[1,8,5,2,7,3,4,6]=>([(0,2),(0,3),(0,5),(1,7),(3,6),(3,7),(4,1),(5,4),(5,6)],8)
[1,8,6,7,2,3,4,5]=>([(0,3),(0,6),(0,7),(4,5),(5,2),(6,4),(7,1)],8)
[8,1,6,7,2,3,4,5]=>([(1,6),(1,7),(4,5),(5,3),(6,4),(7,2)],8)
[7,1,6,8,2,3,4,5]=>([(0,7),(1,3),(1,6),(3,7),(4,5),(5,2),(6,4)],8)
[3,2,1,7,8,4,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(4,5),(6,3),(7,4)],8)
[3,2,8,7,1,4,5,6]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(7,3)],8)
[5,8,7,2,1,3,4,6]=>([(0,6),(1,6),(2,3),(2,4),(2,7),(5,7),(6,5)],8)
[1,7,6,8,2,3,4,5]=>([(0,2),(0,3),(0,6),(2,7),(3,7),(4,5),(5,1),(6,4)],8)
[6,5,8,2,3,1,4,7]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(4,6),(6,7)],8)
[8,5,7,2,1,3,4,6]=>([(1,6),(2,6),(3,4),(3,7),(5,7),(6,5)],8)
[6,4,2,8,3,1,5,7]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(3,4),(3,6),(4,7),(7,5)],8)
[5,4,2,3,8,1,6,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)
[3,2,5,4,1,8,6,7]=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[4,5,2,3,1,8,6,7]=>([(0,6),(0,7),(1,5),(2,4),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[5,4,2,3,1,8,6,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)
[6,4,2,1,3,8,5,7]=>([(0,4),(1,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[7,4,2,1,8,3,5,6]=>([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(6,4)],8)
[8,4,2,1,7,3,5,6]=>([(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(6,4)],8)
[1,4,2,8,7,3,5,6]=>([(0,3),(0,4),(2,7),(3,5),(3,6),(3,7),(4,2),(4,5),(4,6),(7,1)],8)
[1,5,8,2,7,3,4,6]=>([(0,4),(0,5),(2,7),(3,2),(4,3),(4,6),(5,1),(5,6),(5,7)],8)
[8,5,1,2,7,3,4,6]=>([(1,3),(2,6),(2,7),(3,5),(3,6),(4,7),(5,4)],8)
[7,5,1,2,8,3,4,6]=>([(0,3),(1,7),(2,6),(2,7),(3,5),(3,7),(4,6),(5,4)],8)
[6,5,1,2,3,8,4,7]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,5),(4,6),(5,4),(5,7)],8)
[4,6,2,1,3,8,5,7]=>([(0,7),(1,7),(2,3),(2,6),(3,4),(3,5),(6,5),(7,4),(7,6)],8)
[3,2,6,1,4,8,5,7]=>([(0,7),(1,4),(1,7),(2,4),(2,7),(3,6),(4,5),(4,6),(7,3),(7,5)],8)
[3,2,7,1,8,4,5,6]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(5,6),(7,3)],8)
[4,7,2,1,8,3,5,6]=>([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(4,7),(5,6),(6,3)],8)
[7,6,1,8,2,3,4,5]=>([(0,7),(1,7),(2,6),(2,7),(4,5),(5,3),(6,4)],8)
[8,6,1,7,2,3,4,5]=>([(1,7),(2,6),(2,7),(4,5),(5,3),(6,4)],8)
[1,6,8,7,2,3,4,5]=>([(0,6),(0,7),(4,5),(5,3),(6,4),(7,1),(7,2)],8)
[1,7,8,6,2,3,4,5]=>([(0,3),(0,6),(0,7),(4,5),(5,2),(6,4),(7,1)],8)
[7,8,1,6,2,3,4,5]=>([(0,4),(1,3),(1,7),(5,6),(6,2),(7,5)],8)
[6,8,1,7,2,3,4,5]=>([(0,6),(0,7),(1,3),(1,7),(4,5),(5,2),(6,4)],8)
[4,8,2,1,7,3,5,6]=>([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(5,6),(6,3)],8)
[3,2,8,1,7,4,5,6]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(7,3)],8)
[3,2,1,8,7,4,5,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(7,3)],8)
[5,1,8,2,7,3,4,6]=>([(0,5),(0,6),(0,7),(1,4),(1,7),(2,6),(3,2),(4,3),(4,5)],8)
[6,1,8,7,2,3,4,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(3,4),(4,2),(5,3)],8)
[8,1,7,6,2,3,4,5]=>([(1,3),(1,4),(1,7),(5,6),(6,2),(7,5)],8)
[1,8,7,6,2,3,4,5]=>([(0,2),(0,3),(0,4),(0,7),(5,6),(6,1),(7,5)],8)
[6,3,5,1,2,4,8,7]=>([(0,6),(0,7),(1,4),(2,3),(2,5),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[4,3,5,6,1,2,8,7]=>([(0,5),(1,5),(2,3),(3,6),(3,7),(4,6),(4,7),(5,4)],8)
[8,3,7,5,2,1,4,6]=>([(1,7),(2,7),(3,4),(3,5),(3,7),(5,6),(7,6)],8)
[6,3,7,5,1,8,4,2]=>([(0,6),(1,3),(1,5),(1,7),(2,4),(2,5),(2,6),(4,7),(6,7)],8)
[6,5,2,7,1,8,3,4]=>([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(6,4),(7,5)],8)
[8,5,2,7,4,1,3,6]=>([(1,6),(2,5),(2,7),(3,4),(3,5),(3,6),(4,7),(6,7)],8)
[2,6,1,5,4,3,8,7]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,3,5,1,2,8,7]=>([(0,6),(0,7),(1,5),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,1,4,6,2,8,7]=>([(0,7),(1,6),(2,3),(2,6),(3,4),(3,5),(6,7),(7,4),(7,5)],8)
[3,1,4,6,5,2,8,7]=>([(0,5),(1,2),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,3),(5,4)],8)
[5,7,4,6,2,8,3,1]=>([(1,6),(2,4),(2,7),(3,5),(3,6),(5,7),(6,7)],8)
[8,1,4,7,2,6,3,5]=>([(1,4),(1,5),(3,6),(4,3),(4,7),(5,2),(5,6),(5,7)],8)
[3,4,7,8,5,2,1,6]=>([(0,7),(1,7),(2,6),(4,7),(5,3),(6,4),(6,5)],8)
[2,1,8,5,7,3,4,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(3,4),(6,3),(7,2),(7,4)],8)
[8,6,3,5,1,7,4,2]=>([(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(5,7)],8)
[5,8,2,4,6,7,3,1]=>([(1,4),(1,7),(2,3),(2,5),(5,7),(7,6)],8)
[3,4,8,6,5,7,1,2]=>([(0,5),(1,6),(3,7),(4,7),(6,2),(6,3),(6,4)],8)
[7,5,4,8,1,6,3,2]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8)
[5,1,4,6,8,2,7,3]=>([(0,7),(1,4),(1,5),(4,7),(5,3),(5,6),(7,2),(7,6)],8)
[2,5,4,6,7,1,8,3]=>([(0,5),(0,6),(1,2),(1,3),(1,6),(2,7),(3,7),(4,5),(7,4)],8)
[2,4,6,3,7,5,8,1]=>([(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6),(5,7),(6,7)],8)
[4,1,6,3,8,5,7,2]=>([(0,2),(0,3),(0,7),(1,6),(1,7),(3,5),(3,6),(6,4),(7,4),(7,5)],8)
[3,7,4,2,8,6,5,1]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(3,7),(4,5),(4,6),(4,7)],8)
[7,4,1,3,5,8,6,2]=>([(0,7),(1,6),(2,3),(2,4),(4,7),(7,5),(7,6)],8)
[6,5,8,4,1,7,3,2]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8)
[8,5,3,7,4,1,6,2]=>([(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(5,7)],8)
[2,1,4,8,3,7,6,5]=>([(0,6),(0,7),(1,6),(1,7),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8)
[7,4,3,8,2,1,6,5]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,3,7,4,1,8,2,5]=>([(0,5),(1,3),(1,7),(2,4),(2,5),(3,6),(4,6),(4,7),(5,7)],8)
[8,3,1,2,5,7,6,4]=>([(1,6),(1,7),(2,5),(5,6),(5,7),(7,3),(7,4)],8)
[3,1,8,2,7,6,5,4]=>([(0,2),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6)],8)
[2,3,8,1,6,7,5,4]=>([(0,5),(0,6),(0,7),(1,4),(4,3),(4,5),(4,6),(4,7),(7,2)],8)
[4,3,7,2,6,8,5,1]=>([(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(7,5)],8)
[4,7,2,3,8,5,6,1]=>([(1,4),(2,3),(2,6),(3,7),(4,6),(4,7),(6,5)],8)
[3,8,2,1,7,5,6,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[2,8,1,3,6,5,7,4]=>([(0,7),(1,3),(1,7),(4,6),(5,6),(7,2),(7,4),(7,5)],8)
[2,7,8,5,4,3,1,6]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,2)],8)
[8,7,1,6,3,4,2,5]=>([(2,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)
[3,8,6,7,2,4,1,5]=>([(0,7),(1,6),(2,3),(2,4),(2,6),(4,5),(6,7)],8)
[5,3,8,7,4,2,6,1]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7)],8)
[4,3,8,7,2,1,6,5]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[8,3,6,1,4,2,7,5]=>([(1,3),(1,5),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,5,8,2,4,1,6]=>([(0,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,7)],8)
[2,3,4,1,8,5,7,6]=>([(0,6),(0,7),(1,5),(4,6),(4,7),(5,4),(7,2),(7,3)],8)
[4,1,3,2,6,7,8,5]=>([(0,6),(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(5,2),(7,5)],8)
[8,3,5,6,2,7,1,4]=>([(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(5,6)],8)
[5,3,6,1,8,7,2,4]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(7,4),(7,5)],8)
[5,6,2,8,7,4,1,3]=>([(0,5),(1,4),(2,3),(2,5),(2,6),(2,7),(4,6),(4,7)],8)
[7,8,5,6,1,4,2,3]=>([(0,6),(1,5),(2,4),(2,7),(7,3)],8)
[2,8,6,5,4,7,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7)],8)
[8,1,6,4,5,7,2,3]=>([(1,4),(1,5),(1,6),(3,7),(4,7),(5,3),(6,2)],8)
[5,8,3,6,1,7,2,4]=>([(0,5),(0,7),(1,4),(1,6),(2,3),(2,5),(4,7),(5,6)],8)
[2,1,8,6,5,7,3,4]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(5,2),(6,3),(7,3)],8)
[2,1,7,5,3,6,8,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(5,4),(6,3),(7,2),(7,4)],8)
[6,7,3,5,2,1,8,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(4,7),(5,7)],8)
[7,1,4,2,5,6,8,3]=>([(0,6),(1,3),(1,5),(3,7),(4,6),(5,2),(5,7),(7,4)],8)
[2,7,4,1,6,5,8,3]=>([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)
[4,6,1,2,8,7,3,5]=>([(0,3),(0,7),(1,4),(2,7),(3,5),(3,6),(4,2),(4,5),(4,6)],8)
[2,4,1,5,8,7,6,3]=>([(0,6),(0,7),(1,5),(1,6),(5,7),(7,2),(7,3),(7,4)],8)
[4,1,2,5,8,6,7,3]=>([(0,7),(1,5),(5,3),(5,7),(6,2),(7,4),(7,6)],8)
[6,4,2,1,5,8,7,3]=>([(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(7,5),(7,6)],8)
[8,5,2,4,6,1,7,3]=>([(1,7),(2,5),(2,6),(3,4),(3,5),(4,7),(7,6)],8)
[7,5,3,2,6,8,1,4]=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(7,5)],8)
[2,1,5,3,6,8,7,4]=>([(0,5),(0,6),(1,5),(1,6),(5,7),(6,4),(6,7),(7,2),(7,3)],8)
[7,3,5,4,6,1,8,2]=>([(0,7),(1,3),(1,7),(2,4),(2,5),(4,6),(5,6),(6,7)],8)
[6,3,4,1,5,7,8,2]=>([(0,6),(1,4),(2,3),(2,7),(4,7),(6,5),(7,6)],8)
[4,3,1,5,7,6,8,2]=>([(0,7),(1,7),(2,3),(2,7),(4,6),(5,6),(7,4),(7,5)],8)
[3,1,4,5,6,8,7,2]=>([(0,7),(1,4),(1,7),(5,6),(6,2),(6,3),(7,5)],8)
[4,5,2,6,3,1,8,7]=>([(0,6),(0,7),(1,4),(2,3),(2,5),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[6,5,2,1,4,3,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,2,7,4,8,3,1]=>([(1,7),(2,7),(3,4),(3,5),(3,7),(5,6),(7,6)],8)
[8,5,2,7,4,1,6,3]=>([(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(4,7)],8)
[8,3,7,5,2,1,6,4]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(5,7)],8)
[6,3,7,5,2,8,4,1]=>([(1,6),(2,5),(2,7),(3,4),(3,5),(3,6),(4,7),(6,7)],8)
[3,1,6,5,4,2,8,7]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,3,2,4,1,8,7]=>([(0,6),(0,7),(1,5),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,2,4,1,5,8,7]=>([(0,7),(1,6),(2,3),(2,6),(3,4),(3,5),(6,7),(7,4),(7,5)],8)
[2,6,1,3,5,4,8,7]=>([(0,5),(1,2),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,3),(5,4)],8)
[6,7,2,3,4,8,5,1]=>([(1,6),(2,4),(4,7),(5,3),(5,7),(6,5)],8)
[8,7,2,3,4,1,6,5]=>([(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)
[5,1,7,3,8,4,6,2]=>([(0,6),(0,7),(1,2),(1,4),(1,7),(3,6),(4,3),(4,5),(7,5)],8)
[2,5,7,3,8,6,4,1]=>([(1,4),(1,5),(3,6),(4,3),(4,7),(5,2),(5,6),(5,7)],8)
[7,6,1,3,5,8,4,2]=>([(0,7),(1,7),(2,4),(2,6),(5,7),(6,3),(6,5)],8)
[3,6,7,4,1,8,5,2]=>([(0,4),(0,6),(0,7),(1,3),(1,5),(2,7),(3,6),(3,7),(5,2)],8)
[5,6,3,7,4,8,1,2]=>([(0,3),(1,5),(2,4),(2,6),(4,7),(5,6),(6,7)],8)
[2,1,6,7,4,8,5,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(3,4),(6,3),(7,2),(7,4)],8)
[2,1,8,7,4,3,6,5]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8)
[5,8,3,7,4,2,6,1]=>([(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(5,7)],8)
[3,8,7,4,1,2,6,5]=>([(0,5),(1,2),(1,3),(1,4),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,3,5,2,6,4]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(3,7),(5,2),(5,7)],8)
[5,8,7,3,2,6,1,4]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8)
[2,8,6,3,1,5,7,4]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(3,5),(4,6),(4,7),(7,5)],8)
[8,1,6,3,2,5,4,7]=>([(1,2),(1,3),(1,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,8,4,1,6,3,7,5]=>([(0,2),(0,3),(0,7),(1,6),(1,7),(3,5),(3,6),(6,4),(7,4),(7,5)],8)
[4,8,1,2,7,6,3,5]=>([(0,4),(1,3),(1,5),(1,6),(1,7),(2,5),(4,2),(4,6),(4,7)],8)
[3,8,4,2,5,7,1,6]=>([(0,7),(1,6),(2,3),(2,4),(4,7),(7,5),(7,6)],8)
[6,8,3,5,2,7,4,1]=>([(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(5,7)],8)
[2,1,5,3,8,7,6,4]=>([(0,6),(0,7),(1,6),(1,7),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8)
[6,5,3,2,8,7,1,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,5,2,4,8,1,6,3]=>([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(4,6),(4,7)],8)
[3,4,2,8,5,7,6,1]=>([(1,6),(1,7),(2,5),(5,6),(5,7),(7,3),(7,4)],8)
[2,4,1,8,7,6,5,3]=>([(0,2),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6)],8)
[8,4,2,1,7,5,3,6]=>([(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(7,5)],8)
[4,3,1,8,6,7,5,2]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[3,1,4,8,6,5,7,2]=>([(0,7),(1,3),(1,7),(4,6),(5,6),(7,2),(7,4),(7,5)],8)
[7,1,6,5,4,8,2,3]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,2)],8)
[3,7,5,6,8,4,2,1]=>([(2,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)
[5,7,1,6,8,2,4,3]=>([(0,4),(0,7),(1,5),(1,7),(4,6),(5,2),(5,3),(7,6)],8)
[8,6,2,5,1,7,4,3]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7)],8)
[5,6,2,1,8,7,3,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,6),(3,7),(5,4)],8)
[4,6,2,5,8,3,7,1]=>([(1,3),(1,5),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,2,6,3,8,1,4]=>([(0,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,7)],8)
[4,1,2,3,6,8,7,5]=>([(0,6),(0,7),(1,5),(4,6),(4,7),(5,4),(7,2),(7,3)],8)
[2,4,3,1,8,5,6,7]=>([(0,6),(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(5,2),(7,5)],8)
[7,5,2,8,3,4,6,1]=>([(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(5,6)],8)
[5,6,2,8,4,3,1,7]=>([(0,7),(1,5),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6),(5,7)],8)
[4,7,2,8,1,5,3,6]=>([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(2,7),(3,6),(4,5),(7,5)],8)
[8,7,2,1,4,5,6,3]=>([(2,6),(2,7),(3,6),(3,7),(4,5),(7,4)],8)
[3,6,8,7,1,5,4,2]=>([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(5,2),(5,3)],8)
[5,7,8,6,3,4,1,2]=>([(0,6),(1,5),(2,4),(2,7),(7,3)],8)
[7,1,8,5,4,3,6,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7)],8)
[2,7,8,4,5,3,6,1]=>([(1,4),(1,5),(1,6),(3,7),(4,7),(5,3),(6,2)],8)
[5,7,3,8,1,4,6,2]=>([(0,5),(0,7),(1,4),(1,6),(2,3),(2,5),(4,7),(5,6)],8)
[2,1,7,8,5,4,6,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(5,2),(6,3),(7,3)],8)
[2,1,5,8,4,6,3,7]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(5,4),(6,3),(7,2),(7,4)],8)
[6,5,3,8,4,1,2,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(4,7),(5,7)],8)
[7,5,8,4,3,6,2,1]=>([(2,7),(3,7),(4,6),(5,6),(5,7)],8)
[2,4,8,3,5,6,1,7]=>([(0,6),(1,3),(1,5),(3,7),(4,6),(5,2),(5,7),(7,4)],8)
[4,1,8,3,6,5,2,7]=>([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)
[3,4,8,1,7,2,5,6]=>([(0,5),(1,4),(1,6),(4,7),(5,3),(5,6),(5,7),(7,2)],8)
[8,4,1,3,7,2,6,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,1,8,2,4,7,6,5]=>([(0,6),(0,7),(1,5),(1,6),(5,7),(7,2),(7,3),(7,4)],8)
[2,3,8,1,4,6,7,5]=>([(0,7),(1,5),(5,3),(5,7),(6,2),(7,4),(7,6)],8)
[4,3,8,2,5,1,7,6]=>([(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(7,5),(7,6)],8)
[6,3,8,4,2,5,7,1]=>([(1,7),(2,5),(2,6),(3,4),(3,5),(4,7),(7,6)],8)
[7,4,3,8,2,5,1,6]=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(7,5)],8)
[2,1,4,8,3,5,7,6]=>([(0,5),(0,6),(1,5),(1,6),(5,7),(6,4),(6,7),(7,2),(7,3)],8)
[6,8,2,4,3,5,1,7]=>([(0,7),(1,3),(1,7),(2,4),(2,5),(4,6),(5,6),(6,7)],8)
[4,8,2,3,5,1,6,7]=>([(0,6),(1,4),(2,3),(2,7),(4,7),(6,5),(7,6)],8)
[3,8,2,1,4,6,5,7]=>([(0,7),(1,7),(2,3),(2,7),(4,6),(5,6),(7,4),(7,5)],8)
[2,8,1,3,4,5,7,6]=>([(0,7),(1,4),(1,7),(5,6),(6,2),(6,3),(7,5)],8)
[2,8,4,1,6,5,3,7]=>([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[2,8,4,1,6,5,7,3]=>([(0,2),(0,3),(0,5),(1,5),(1,6),(1,7),(3,6),(3,7),(6,4),(7,4)],8)
[2,8,7,6,1,4,3,5]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(6,5),(7,5)],8)
[2,8,5,6,7,4,3,1]=>([(1,3),(1,4),(1,5),(1,7),(6,2),(7,6)],8)
[7,5,8,6,1,4,2,3]=>([(0,7),(1,5),(1,7),(2,4),(2,6),(6,3)],8)
[3,5,7,6,1,4,2,8]=>([(0,4),(0,6),(1,5),(1,6),(2,7),(3,7),(4,7),(5,2),(5,3),(6,7)],8)
[3,5,7,2,4,1,6,8]=>([(0,7),(1,5),(2,3),(2,5),(3,4),(3,7),(4,6),(5,7),(7,6)],8)
[7,5,8,2,4,1,6,3]=>([(0,5),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(4,7)],8)
[2,8,5,3,4,7,6,1]=>([(1,2),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3)],8)
[2,8,5,3,4,1,7,6]=>([(0,6),(0,7),(1,2),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3)],8)
[2,8,5,3,4,1,6,7]=>([(0,7),(1,2),(1,4),(1,6),(3,7),(4,7),(6,3),(7,5)],8)
[2,8,7,6,1,4,5,3]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8)
[2,8,5,3,6,1,7,4]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(3,5),(4,5),(4,6),(5,7)],8)
[2,8,5,6,7,4,1,3]=>([(0,7),(1,3),(1,4),(1,6),(1,7),(5,2),(6,5)],8)
[2,8,5,3,4,7,1,6]=>([(0,7),(1,2),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3)],8)
[2,8,5,3,4,6,1,7]=>([(0,7),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3),(6,7)],8)
[2,8,5,3,4,6,7,1]=>([(1,2),(1,4),(1,6),(3,7),(4,7),(6,3),(7,5)],8)
[3,5,7,2,4,6,1,8]=>([(0,7),(1,5),(2,3),(2,5),(3,4),(3,6),(4,7),(5,6),(6,7)],8)
[6,5,2,7,3,1,4,8]=>([(0,6),(1,7),(2,7),(3,4),(3,7),(4,6),(6,5),(7,5)],8)
[6,5,2,8,3,1,7,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,5),(4,7)],8)
[6,5,2,8,3,1,4,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(4,5),(5,7)],8)
[7,5,8,2,4,6,3,1]=>([(1,6),(2,6),(2,7),(3,4),(3,5),(5,7)],8)
[7,5,8,6,1,4,3,2]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5)],8)
[6,5,8,2,1,3,7,4]=>([(0,6),(1,6),(2,5),(2,7),(3,5),(3,7),(6,4),(6,7)],8)
[3,5,6,2,1,8,7,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(3,4),(4,6),(4,7)],8)
[3,5,7,6,1,4,8,2]=>([(0,4),(0,6),(1,5),(1,6),(2,7),(3,7),(5,2),(5,3),(6,7)],8)
[3,5,7,2,4,1,8,6]=>([(0,6),(0,7),(1,5),(2,3),(2,5),(3,4),(3,7),(4,6),(5,6),(5,7)],8)
[3,5,7,2,4,6,8,1]=>([(1,5),(2,3),(2,5),(3,4),(3,7),(4,6),(5,7),(7,6)],8)
[6,5,2,7,3,1,8,4]=>([(0,6),(1,6),(2,5),(2,7),(3,4),(3,6),(4,5),(4,7),(6,7)],8)
[4,5,2,6,3,1,7,8]=>([(0,7),(1,5),(2,3),(2,6),(3,7),(5,6),(6,7),(7,4)],8)
[4,1,2,3,7,6,8,5]=>([(0,2),(1,5),(1,6),(1,7),(2,3),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[6,5,2,7,3,4,8,1]=>([(1,7),(2,7),(3,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,1,6,7,4,3,8,2]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(3,7),(4,7),(5,7),(6,5)],8)
[5,1,2,6,4,8,7,3]=>([(0,7),(1,4),(3,5),(3,6),(4,2),(4,3),(4,7),(7,5),(7,6)],8)
[5,1,2,8,6,4,7,3]=>([(0,6),(0,7),(1,4),(3,5),(4,2),(4,3),(4,6),(4,7),(7,5)],8)
[5,1,6,8,7,3,4,2]=>([(0,7),(1,3),(1,6),(1,7),(6,2),(7,4),(7,5)],8)
[6,5,2,8,3,7,4,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7)],8)
[4,1,2,3,8,7,5,6]=>([(0,5),(0,6),(0,7),(1,4),(3,5),(3,6),(3,7),(4,3),(7,2)],8)
[4,1,2,3,8,6,5,7]=>([(0,2),(1,5),(1,6),(1,7),(2,3),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[4,1,2,3,8,6,7,5]=>([(0,5),(0,6),(0,7),(1,4),(3,5),(3,6),(3,7),(4,3),(7,2)],8)
[4,1,2,3,7,6,5,8]=>([(0,2),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,1,2,3,8,5,7,6]=>([(0,6),(0,7),(1,5),(4,6),(4,7),(5,4),(7,2),(7,3)],8)
[7,1,6,8,4,3,5,2]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(3,7),(4,6),(5,6)],8)
[6,1,2,8,4,5,7,3]=>([(0,6),(0,7),(1,5),(3,6),(4,3),(5,2),(5,4),(5,7)],8)
[5,6,8,2,3,1,7,4]=>([(0,6),(0,7),(1,3),(2,4),(3,5),(3,7),(4,6),(4,7)],8)
[6,5,8,2,4,3,1,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)
[6,5,8,2,4,3,7,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)
[7,5,2,8,3,4,1,6]=>([(0,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(5,7)],8)
[6,5,2,8,3,7,1,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(4,5),(4,7)],8)
[6,5,2,7,3,4,1,8]=>([(0,7),(1,6),(2,6),(3,4),(3,6),(4,5),(5,7),(6,7)],8)
[5,1,6,7,4,3,2,8]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(5,7),(6,5)],8)
[5,1,6,8,7,3,2,4]=>([(0,7),(1,4),(1,5),(1,7),(4,6),(5,6),(7,2),(7,3)],8)
[7,1,6,8,4,3,2,5]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,7),(5,6)],8)
[5,7,8,6,3,4,2,1]=>([(2,5),(3,4),(3,6),(6,7)],8)
[4,1,8,3,6,5,7,2]=>([(0,2),(0,3),(0,5),(1,5),(1,6),(1,7),(3,6),(3,7),(6,4),(7,4)],8)
[4,1,8,3,6,2,7,5]=>([(0,2),(0,3),(0,5),(1,5),(1,6),(1,7),(2,4),(2,7),(3,6),(3,7),(6,4)],8)
[3,1,4,8,6,2,7,5]=>([(0,7),(1,4),(1,7),(3,5),(4,5),(4,6),(7,2),(7,3),(7,6)],8)
[3,1,4,8,6,5,2,7]=>([(0,6),(1,2),(1,6),(2,7),(4,7),(5,7),(6,3),(6,4),(6,5)],8)
[7,1,6,5,8,3,2,4]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(5,6)],8)
[4,1,6,7,8,3,2,5]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(3,7),(4,7),(5,2),(6,5)],8)
[4,1,6,5,7,3,2,8]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,7),(3,7),(4,7),(5,4),(6,4)],8)
[4,5,2,6,3,7,1,8]=>([(0,5),(1,4),(2,3),(2,6),(3,7),(4,6),(6,7),(7,5)],8)
[4,5,2,7,3,8,1,6]=>([(0,7),(1,4),(2,3),(2,5),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
[3,5,6,2,4,8,7,1]=>([(1,5),(2,3),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,6,2,4,8,1,7]=>([(0,7),(1,5),(2,3),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,5,6,8,4,1,2]=>([(0,5),(1,2),(1,4),(1,6),(3,7),(4,7),(6,3)],8)
[3,6,5,2,8,1,7,4]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[6,1,2,5,8,4,7,3]=>([(0,6),(0,7),(1,5),(3,7),(4,6),(4,7),(5,2),(5,3),(5,4)],8)
[7,1,6,5,8,3,4,2]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(4,7),(5,7),(6,2)],8)
[7,5,2,6,3,8,4,1]=>([(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(6,7)],8)
[4,1,2,3,5,8,7,6]=>([(0,7),(1,6),(2,7),(6,2),(7,3),(7,4),(7,5)],8)
[4,1,2,3,7,8,6,5]=>([(0,5),(0,6),(0,7),(1,4),(3,5),(3,6),(3,7),(4,3),(7,2)],8)
[4,5,2,7,3,8,6,1]=>([(1,4),(2,3),(2,5),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
[4,1,6,7,8,3,5,2]=>([(0,6),(0,7),(1,3),(1,4),(1,7),(4,6),(5,2),(7,5)],8)
[4,1,2,6,8,5,7,3]=>([(0,6),(0,7),(1,4),(4,3),(4,6),(4,7),(6,5),(7,2),(7,5)],8)
[4,1,2,5,6,8,7,3]=>([(0,7),(1,5),(5,4),(5,7),(6,2),(6,3),(7,6)],8)
[4,5,2,6,3,7,8,1]=>([(1,5),(2,3),(2,6),(3,7),(5,6),(6,7),(7,4)],8)
[7,8,5,6,1,4,3,2]=>([(0,7),(1,6),(2,3),(2,4),(2,5)],8)
[7,8,4,2,1,5,3,6]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(5,6),(7,6)],8)
[7,8,2,1,6,5,3,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(7,3)],8)
[6,4,1,2,5,7,3,8]=>([(0,7),(1,5),(2,3),(3,4),(3,7),(4,6),(5,6),(7,5)],8)
[2,4,8,1,5,7,3,6]=>([(0,6),(0,7),(1,4),(1,6),(4,3),(4,7),(6,5),(7,2),(7,5)],8)
[4,3,8,1,7,2,5,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(3,7),(7,4)],8)
[6,3,1,4,7,2,5,8]=>([(0,6),(1,7),(2,3),(2,7),(3,5),(5,4),(6,4),(7,5),(7,6)],8)
[7,8,3,4,5,1,6,2]=>([(0,4),(1,6),(2,5),(2,7),(3,7),(6,3)],8)
[7,8,3,5,4,2,1,6]=>([(0,7),(1,7),(2,4),(3,5),(3,6),(5,7),(6,7)],8)
[7,8,4,1,2,3,6,5]=>([(0,6),(0,7),(1,3),(2,4),(4,5),(5,6),(5,7)],8)
[7,8,3,6,5,4,1,2]=>([(0,7),(1,6),(2,3),(2,4),(2,5)],8)
[7,8,2,1,5,3,4,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(4,7),(5,7),(6,4)],8)
[7,8,2,6,4,1,3,5]=>([(0,6),(1,4),(2,3),(2,5),(2,6),(5,7),(6,7)],8)
[7,8,2,5,6,4,1,3]=>([(0,7),(1,5),(2,4),(2,6),(2,7),(6,3)],8)
[7,8,1,6,5,4,3,2]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6)],8)
[6,2,1,7,5,4,3,8]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[2,1,8,7,5,4,3,6]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(4,7),(5,7),(6,7)],8)
[1,3,8,2,6,4,7,5]=>([(0,3),(0,4),(3,5),(3,7),(4,2),(4,5),(4,7),(5,6),(7,1),(7,6)],8)
[5,3,7,1,6,4,8,2]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[5,3,6,2,7,4,1,8]=>([(0,7),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,1,2,5,8,7,4,3]=>([(0,6),(0,7),(1,5),(4,6),(4,7),(5,2),(5,3),(5,4)],8)
[6,3,1,8,4,2,7,5]=>([(0,6),(0,7),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7)],8)
[6,4,2,1,5,3,8,7]=>([(0,5),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,3,7,5,8,1,2]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(5,6),(7,6)],8)
[4,3,8,7,5,6,1,2]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(7,3)],8)
[2,4,7,1,5,3,6,8]=>([(0,3),(0,7),(1,6),(1,7),(2,4),(3,2),(3,6),(5,4),(6,5),(7,5)],8)
[1,3,7,6,4,2,8,5]=>([(0,4),(0,5),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,3)],8)
[2,1,7,5,6,8,4,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(6,2),(7,3)],8)
[3,7,2,8,6,4,1,5]=>([(0,6),(1,3),(1,4),(1,7),(2,4),(2,5),(2,7),(3,5),(7,6)],8)
[3,8,1,7,6,4,5,2]=>([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(7,2)],8)
[1,8,5,7,3,6,4,2]=>([(0,3),(0,4),(0,5),(0,6),(5,2),(5,7),(6,1),(6,7)],8)
[2,7,5,8,3,6,1,4]=>([(0,7),(1,2),(1,3),(1,4),(2,5),(3,6),(3,7),(4,5),(4,6)],8)
[1,5,6,8,2,4,7,3]=>([(0,5),(0,6),(3,7),(4,2),(4,7),(5,4),(6,1),(6,3)],8)
[2,6,8,5,3,1,4,7]=>([(0,6),(1,3),(1,4),(1,5),(3,7),(4,6),(5,2),(5,7),(6,7)],8)
[2,6,1,4,7,3,5,8]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(4,3),(5,3),(6,4),(7,4),(7,5)],8)
[5,6,7,3,8,4,1,2]=>([(0,4),(1,6),(2,5),(2,7),(3,7),(6,3)],8)
[5,2,8,1,4,7,3,6]=>([(0,5),(0,6),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(5,7),(6,3),(6,7)],8)
[4,6,7,5,2,1,3,8]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,7),(5,7),(6,7)],8)
[4,5,6,7,2,8,1,3]=>([(0,3),(1,6),(2,6),(2,7),(3,5),(4,7),(5,4)],8)
[4,5,7,6,1,8,3,2]=>([(0,6),(1,2),(1,3),(1,7),(4,7),(5,7),(6,4),(6,5)],8)
[1,5,8,6,2,7,3,4]=>([(0,5),(0,6),(3,7),(4,2),(5,4),(5,7),(6,1),(6,3)],8)
[1,6,5,8,3,2,7,4]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7)],8)
[4,6,5,7,1,2,8,3]=>([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2),(5,7),(6,7)],8)
[4,7,5,6,3,1,8,2]=>([(0,7),(1,3),(1,7),(2,5),(2,6),(4,7),(5,7),(6,4)],8)
[5,1,6,3,4,2,8,7]=>([(0,5),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,2),(5,6),(5,7)],8)
[5,7,1,4,2,3,8,6]=>([(0,4),(0,7),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(5,2)],8)
[5,7,6,4,3,8,1,2]=>([(0,7),(1,7),(2,4),(3,5),(3,6),(5,7),(6,7)],8)
[6,3,4,5,8,7,1,2]=>([(0,6),(0,7),(1,3),(2,4),(4,5),(5,6),(5,7)],8)
[6,2,4,1,8,3,7,5]=>([(0,6),(0,7),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,7)],8)
[6,2,3,5,4,8,1,7]=>([(0,3),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,3,4,5,8,7,2]=>([(0,6),(0,7),(1,2),(1,5),(3,6),(3,7),(4,3),(5,4)],8)
[5,1,4,2,7,6,8,3]=>([(0,6),(0,7),(1,3),(1,4),(3,6),(3,7),(4,2),(4,6),(4,7),(6,5),(7,5)],8)
[1,6,2,4,7,8,3,5]=>([(0,4),(0,5),(2,6),(3,6),(3,7),(4,7),(5,2),(5,3),(7,1)],8)
[5,7,2,4,1,6,3,8]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(3,7),(4,6),(5,7),(6,7)],8)
[6,1,4,2,8,5,3,7]=>([(0,6),(0,7),(1,3),(1,4),(2,7),(3,5),(3,6),(4,2),(4,5),(4,6),(5,7)],8)
[6,7,5,8,1,4,3,2]=>([(0,7),(1,6),(2,3),(2,4),(2,5),(6,7)],8)
[5,8,7,6,3,4,1,2]=>([(0,7),(1,6),(2,3),(2,4),(2,5)],8)
[5,8,7,6,2,3,1,4]=>([(0,7),(1,6),(2,3),(2,4),(2,5),(6,7)],8)
[4,1,7,2,6,5,3,8]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,7),(3,2),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[4,8,2,1,5,6,3,7]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,7),(4,6),(5,6),(7,4)],8)
[4,2,7,8,1,6,3,5]=>([(0,5),(0,6),(0,7),(1,4),(1,7),(2,4),(2,6),(2,7),(4,5),(6,3)],8)
[2,1,8,7,6,5,3,4]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8)
[3,1,4,7,8,2,6,5]=>([(0,7),(1,3),(1,7),(3,5),(3,6),(4,2),(7,4),(7,5),(7,6)],8)
[3,1,7,4,5,6,8,2]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(2,5),(4,2),(6,5),(7,4)],8)
[4,2,7,1,6,3,8,5]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(4,7),(6,7)],8)
[4,3,7,5,6,8,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(4,7),(5,7),(6,4)],8)
[4,8,6,3,5,7,1,2]=>([(0,6),(1,4),(2,3),(2,5),(2,6),(5,7),(6,7)],8)
[4,8,1,2,5,3,7,6]=>([(0,3),(0,7),(1,4),(2,5),(2,6),(4,2),(4,7),(7,5),(7,6)],8)
[3,8,6,5,2,4,1,7]=>([(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[3,8,5,6,1,4,7,2]=>([(0,4),(0,7),(1,2),(1,5),(1,7),(3,6),(5,3),(7,6)],8)
[5,3,7,8,2,1,6,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(5,4)],8)
[5,2,8,7,1,6,4,3]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[1,6,8,7,5,2,4,3]=>([(0,5),(0,6),(0,7),(6,3),(6,4),(7,1),(7,2)],8)
[3,6,7,8,5,1,4,2]=>([(0,4),(0,7),(1,3),(1,6),(1,7),(5,2),(6,5)],8)
[3,7,6,8,5,2,1,4]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(2,7),(4,6),(5,6)],8)
[3,7,8,5,1,2,4,6]=>([(0,4),(1,3),(1,5),(1,6),(3,7),(4,6),(5,2),(6,7)],8)
[3,7,1,6,4,2,5,8]=>([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,7),(3,4),(4,7),(5,7),(6,4)],8)
[4,1,8,6,2,3,5,7]=>([(0,2),(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(3,6),(6,4),(7,4)],8)
[4,7,8,6,3,5,1,2]=>([(0,7),(1,5),(2,4),(2,6),(2,7),(6,3)],8)
[3,8,7,6,5,4,1,2]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6)],8)
[2,1,7,6,5,3,4,8]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2)],8)
[2,8,1,6,4,5,3,7]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,7),(4,7),(5,7),(6,2)],8)
[2,8,7,5,1,4,3,6]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(4,7),(5,7),(6,7)],8)
[2,8,6,7,5,1,3,4]=>([(0,7),(1,3),(1,4),(1,6),(1,7),(6,2),(7,5)],8)
[2,7,8,6,5,4,1,3]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(6,2)],8)
[6,4,2,7,1,3,8,5]=>([(0,4),(1,7),(2,4),(2,7),(3,5),(3,7),(4,5),(4,6),(7,6)],8)
[7,4,2,5,1,3,8,6]=>([(0,7),(1,5),(2,4),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,3,6,1,7,2,4]=>([(1,5),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)
[7,3,6,2,4,8,1,5]=>([(0,6),(1,7),(2,5),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[4,3,7,1,2,5,8,6]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(3,7),(5,6),(7,4),(7,6)],8)
[3,6,2,7,1,4,8,5]=>([(0,7),(1,6),(1,7),(2,3),(2,7),(3,6),(6,5),(7,4),(7,5)],8)
[5,3,6,7,1,2,8,4]=>([(0,5),(1,5),(1,6),(2,3),(3,6),(3,7),(4,7),(5,4)],8)
[6,3,7,4,1,2,8,5]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[4,7,1,5,2,3,8,6]=>([(0,3),(0,6),(1,4),(1,6),(2,5),(2,7),(3,7),(4,2),(6,5),(6,7)],8)
[3,7,5,1,2,4,8,6]=>([(0,4),(1,2),(1,3),(1,5),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[7,6,4,2,3,8,1,5]=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[8,6,4,2,3,7,1,5]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[4,7,6,3,8,1,2,5]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6)],8)
[5,7,4,2,3,8,1,6]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(5,7)],8)
[3,7,6,1,4,8,2,5]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,7),(3,7),(4,5),(6,5),(6,7)],8)
[6,4,7,5,2,8,1,3]=>([(0,5),(1,6),(2,5),(2,7),(3,4),(3,6),(4,7),(6,7)],8)
[7,4,8,5,2,6,1,3]=>([(0,5),(1,6),(2,5),(2,7),(3,4),(3,6),(4,7)],8)
[5,8,2,6,3,7,1,4]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6),(4,7),(5,7)],8)
[3,8,6,2,4,7,1,5]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(4,7),(5,6),(5,7)],8)
[4,8,6,2,7,1,3,5]=>([(0,5),(1,5),(1,7),(2,3),(2,4),(2,6),(4,7),(5,6)],8)
[2,6,5,8,1,3,4,7]=>([(0,6),(1,3),(1,4),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(6,2)],8)
[2,5,7,4,8,1,3,6]=>([(0,6),(1,3),(1,4),(1,6),(2,5),(3,5),(3,7),(4,2),(4,7),(6,7)],8)
[5,4,6,7,2,8,1,3]=>([(0,6),(1,6),(2,5),(3,5),(3,7),(4,7),(6,4)],8)
[3,5,7,1,4,8,2,6]=>([(0,3),(0,6),(1,4),(1,6),(2,5),(3,7),(4,2),(4,7),(6,5),(6,7)],8)
[5,3,7,2,4,8,1,6]=>([(0,7),(1,5),(2,4),(2,7),(3,4),(3,5),(4,6),(5,6),(5,7)],8)
[5,4,7,3,8,1,2,6]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(4,7),(5,6)],8)
[7,4,6,3,8,1,2,5]=>([(0,6),(1,6),(1,7),(2,5),(3,4),(3,7),(4,6),(5,7)],8)
[8,4,6,3,7,1,2,5]=>([(1,6),(1,7),(2,4),(3,5),(3,7),(4,7),(5,6)],8)
[8,4,1,6,7,2,3,5]=>([(1,6),(1,7),(2,4),(2,7),(4,5),(5,6),(7,3)],8)
[7,4,1,6,8,2,3,5]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6),(5,7)],8)
[6,5,3,7,1,8,2,4]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(7,5)],8)
[6,5,1,2,7,8,3,4]=>([(0,7),(1,7),(2,6),(5,3),(6,5),(6,7),(7,4)],8)
[5,3,6,4,7,8,1,2]=>([(0,6),(1,3),(2,4),(2,6),(4,7),(6,7),(7,5)],8)
[6,3,7,4,8,5,1,2]=>([(0,6),(1,3),(2,4),(2,6),(4,5),(4,7),(6,7)],8)
[4,7,1,5,8,6,2,3]=>([(0,4),(0,7),(1,5),(1,7),(4,6),(5,3),(7,2),(7,6)],8)
[7,5,1,2,8,6,3,4]=>([(0,3),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4)],8)
[7,6,1,8,5,2,3,4]=>([(0,7),(1,7),(2,4),(2,6),(2,7),(5,3),(6,5)],8)
[8,6,1,7,5,2,3,4]=>([(1,7),(2,4),(2,6),(2,7),(5,3),(6,5)],8)
[5,7,2,8,1,6,3,4]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,7),(3,6),(5,4)],8)
[6,3,7,8,5,1,2,4]=>([(0,6),(1,4),(2,3),(2,6),(2,7),(4,7),(6,5)],8)
[3,6,8,2,7,1,4,5]=>([(0,7),(1,6),(1,7),(2,4),(2,7),(4,5),(4,6),(7,3)],8)
[2,4,8,7,1,3,5,6]=>([(0,6),(1,5),(1,6),(5,3),(5,4),(5,7),(6,7),(7,2)],8)
[4,3,8,7,1,2,5,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,7),(7,4)],8)
[5,3,8,7,1,2,4,6]=>([(0,3),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,7),(7,4)],8)
[8,3,7,6,1,2,4,5]=>([(1,5),(2,3),(2,4),(2,7),(5,7),(7,6)],8)
[8,4,7,6,1,2,3,5]=>([(1,6),(2,3),(2,4),(2,7),(5,7),(6,5)],8)
[3,5,8,7,1,2,4,6]=>([(0,4),(1,5),(1,7),(4,7),(5,2),(5,3),(5,6),(7,6)],8)
[2,5,8,7,1,3,4,6]=>([(0,7),(1,5),(1,7),(4,6),(5,2),(5,3),(5,6),(7,4)],8)
[6,8,4,7,5,1,2,3]=>([(0,6),(1,5),(1,7),(2,4),(2,7),(6,3)],8)
[5,8,7,1,6,2,3,4]=>([(0,6),(0,7),(1,3),(1,4),(1,7),(5,2),(6,5)],8)
[2,8,7,6,1,3,4,5]=>([(0,7),(1,3),(1,4),(1,5),(1,7),(6,2),(7,6)],8)
[3,8,7,6,1,2,4,5]=>([(0,6),(1,2),(1,3),(1,4),(1,7),(6,7),(7,5)],8)
[4,8,7,6,1,2,3,5]=>([(0,6),(1,2),(1,3),(1,4),(1,7),(5,7),(6,5)],8)
[5,6,3,1,4,2,8,7]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,3,8,2,1,6,4]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,8,7,4,5,1,6,2]=>([(0,5),(0,7),(1,2),(1,3),(1,6),(4,7),(6,4)],8)
[2,1,7,8,5,3,6,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(5,3),(6,4),(7,2),(7,4)],8)
[5,7,3,8,1,2,6,4]=>([(0,5),(0,6),(0,7),(1,4),(2,3),(2,7),(3,5),(4,6),(4,7)],8)
[8,7,1,4,5,3,2,6]=>([(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[2,7,8,4,1,6,5,3]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(3,5),(3,6),(4,2)],8)
[7,1,8,4,2,6,5,3]=>([(0,7),(1,3),(1,4),(1,7),(3,5),(3,6),(4,2),(4,5),(4,6)],8)
[7,5,1,4,8,6,3,2]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(5,6),(5,7)],8)
[6,5,3,1,8,4,7,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(5,6)],8)
[8,6,3,1,2,5,7,4]=>([(1,5),(2,6),(2,7),(3,4),(4,6),(4,7),(7,5)],8)
[8,7,1,4,2,6,5,3]=>([(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,6,4,5,7,2,8,1]=>([(1,6),(2,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[5,3,2,7,4,6,8,1]=>([(1,4),(1,7),(2,4),(2,7),(3,6),(3,7),(4,6),(6,5),(7,5)],8)
[7,5,3,6,2,4,8,1]=>([(1,7),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
[6,3,2,5,1,8,4,7]=>([(0,5),(0,6),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,7)],8)
[8,5,3,6,2,7,1,4]=>([(1,7),(2,6),(2,7),(3,5),(4,5),(4,7),(5,6)],8)
[8,2,6,3,4,7,1,5]=>([(1,6),(2,3),(2,4),(3,7),(4,5),(5,6),(5,7)],8)
[7,2,6,3,4,5,8,1]=>([(1,7),(2,4),(2,6),(3,7),(4,7),(5,3),(6,5)],8)
[6,2,7,3,4,5,8,1]=>([(1,6),(2,3),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[4,2,5,7,3,6,8,1]=>([(1,5),(2,4),(2,5),(3,7),(4,6),(5,3),(5,6),(6,7)],8)
[5,4,7,6,2,3,8,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,7),(5,7),(6,7)],8)
[6,7,3,5,2,4,8,1]=>([(1,6),(2,5),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[3,7,6,2,4,5,8,1]=>([(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(5,7),(6,5)],8)
[2,7,6,3,4,5,8,1]=>([(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(5,2),(6,5)],8)
[6,5,3,1,2,8,4,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(4,5),(4,7),(5,6)],8)
[8,6,5,2,3,7,1,4]=>([(1,7),(2,7),(3,6),(4,5),(5,6),(5,7)],8)
[8,5,2,1,7,3,4,6]=>([(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,4)],8)
[7,5,2,1,8,3,4,6]=>([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,4)],8)
[1,6,3,2,8,4,5,7]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(6,1)],8)
[5,6,2,3,1,8,4,7]=>([(0,5),(0,7),(1,3),(2,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
[5,4,8,6,2,7,1,3]=>([(0,4),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(6,7)],8)
[6,8,3,5,2,7,1,4]=>([(0,6),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(5,7)],8)
[7,8,5,2,3,6,1,4]=>([(0,7),(1,6),(2,4),(3,5),(5,6),(5,7)],8)
[6,8,2,1,7,3,4,5]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(4,5),(6,4)],8)
[1,8,6,3,7,2,4,5]=>([(0,2),(0,3),(0,4),(0,5),(3,7),(4,6),(5,6),(5,7),(7,1)],8)
[1,8,2,7,3,4,5,6]=>([(0,3),(0,7),(4,6),(5,2),(6,5),(7,1),(7,4)],8)
[2,8,1,7,3,4,5,6]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(4,2),(5,4),(7,5)],8)
[3,8,6,1,7,2,4,5]=>([(0,5),(0,6),(1,3),(1,4),(1,7),(4,6),(5,7),(7,2)],8)
[4,8,1,5,7,2,3,6]=>([(0,4),(0,7),(1,5),(1,7),(3,6),(5,3),(7,2),(7,6)],8)
[4,2,8,3,7,1,5,6]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(3,6),(3,7),(7,4)],8)
[8,1,2,7,3,4,5,6]=>([(1,7),(4,6),(5,4),(6,2),(7,3),(7,5)],8)
[3,6,2,7,1,8,4,5]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,7),(3,6),(6,5),(7,4)],8)
[6,3,7,1,2,8,4,5]=>([(0,5),(1,5),(1,7),(2,4),(4,6),(4,7),(5,6),(7,3)],8)
[7,2,6,1,8,3,4,5]=>([(0,7),(1,6),(1,7),(2,3),(2,6),(3,7),(4,5),(6,4)],8)
[7,3,1,5,8,2,4,6]=>([(0,5),(1,3),(1,7),(2,6),(2,7),(3,6),(6,4),(7,4),(7,5)],8)
[3,2,1,5,8,4,6,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(5,4),(6,5),(7,3),(7,5)],8)
[5,4,1,3,6,8,2,7]=>([(0,7),(1,7),(2,3),(2,5),(3,7),(5,6),(7,4),(7,6)],8)
[1,5,3,4,6,8,2,7]=>([(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,2),(7,1),(7,6)],8)
[4,3,5,1,6,8,2,7]=>([(0,5),(1,5),(2,4),(2,6),(4,7),(5,6),(6,3),(6,7)],8)
[5,4,6,3,8,7,1,2]=>([(0,5),(1,5),(2,6),(2,7),(3,4),(5,6),(5,7)],8)
[3,6,4,5,8,7,1,2]=>([(0,4),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(5,2)],8)
[6,5,3,4,8,7,1,2]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(3,5),(5,6),(5,7)],8)
[5,3,2,8,7,1,4,6]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(7,4)],8)
[5,3,1,8,7,2,4,6]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(5,4)],8)
[8,5,3,7,6,1,2,4]=>([(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(4,7)],8)
[6,1,8,3,7,2,4,5]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(3,7),(4,5),(4,7),(7,2)],8)
[6,3,8,1,7,2,4,5]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,7),(3,6),(6,4)],8)
[7,6,8,2,3,5,1,4]=>([(0,7),(1,6),(2,6),(3,4),(4,5),(4,7)],8)
[3,7,8,2,4,6,1,5]=>([(0,7),(1,6),(2,4),(2,7),(4,5),(7,3),(7,6)],8)
[6,7,3,8,2,5,1,4]=>([(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(4,6)],8)
[5,4,7,8,2,6,1,3]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(3,7),(6,4)],8)
[4,2,5,8,7,1,3,6]=>([(0,7),(1,5),(2,5),(2,7),(5,6),(7,3),(7,4),(7,6)],8)
[2,3,8,7,1,4,5,6]=>([(0,7),(1,6),(5,4),(6,2),(6,3),(6,7),(7,5)],8)
[7,2,8,6,1,3,4,5]=>([(0,7),(1,6),(2,3),(2,6),(2,7),(4,5),(7,4)],8)
[2,1,8,7,3,4,5,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(3,4),(4,2),(7,3)],8)
[8,2,7,6,1,3,4,5]=>([(1,7),(2,4),(2,5),(2,7),(6,3),(7,6)],8)
[1,2,8,7,3,4,5,6]=>([(0,7),(4,6),(5,3),(6,5),(7,1),(7,2),(7,4)],8)
[1,3,8,7,2,4,5,6]=>([(0,4),(0,6),(4,7),(5,3),(6,1),(6,2),(6,7),(7,5)],8)
[1,7,8,3,6,2,4,5]=>([(0,4),(0,5),(0,6),(4,7),(5,2),(6,1),(6,7),(7,3)],8)
[4,1,5,8,7,2,3,6]=>([(0,7),(1,5),(1,7),(4,6),(5,4),(7,2),(7,3),(7,6)],8)
[5,4,8,7,6,1,2,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4)],8)
[6,8,3,7,5,1,2,4]=>([(0,5),(1,3),(1,6),(2,4),(2,6),(2,7),(5,7)],8)
[7,8,6,2,5,1,3,4]=>([(1,7),(2,5),(3,4),(3,7),(7,6)],8)
[8,1,6,7,3,2,5,4]=>([(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[8,1,6,7,3,2,4,5]=>([(1,3),(1,4),(1,6),(3,7),(4,7),(6,2),(7,5)],8)
[8,1,5,3,7,2,4,6]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(3,7),(4,5),(4,6),(6,7)],8)
[8,1,5,3,6,2,4,7]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
[7,5,1,3,6,2,4,8]=>([(0,7),(1,5),(2,3),(2,4),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,5,8,3,6,2,4,1]=>([(1,6),(2,5),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,8,3,2,6,5,1]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7)],8)
[7,4,1,3,2,6,5,8]=>([(0,5),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[8,1,4,3,2,6,5,7]=>([(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[8,1,4,3,2,7,5,6]=>([(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(7,2)],8)
[8,1,4,3,2,7,6,5]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,1,5,4,6,7,2,3]=>([(1,3),(1,4),(1,6),(3,7),(4,7),(6,2),(7,5)],8)
[8,1,5,3,6,2,7,4]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(3,7),(4,5),(4,6),(6,7)],8)
[8,1,4,3,2,6,7,5]=>([(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(7,2)],8)
[8,1,4,3,2,5,7,6]=>([(1,2),(1,3),(1,4),(2,7),(3,7),(4,7),(7,5),(7,6)],8)
[8,1,4,3,2,5,6,7]=>([(1,3),(1,4),(1,5),(3,7),(4,7),(5,7),(6,2),(7,6)],8)
[7,4,1,3,2,5,6,8]=>([(0,7),(1,6),(2,3),(2,4),(3,7),(4,7),(5,6),(7,5)],8)
[7,4,8,3,2,5,6,1]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(7,5)],8)
[6,4,3,8,2,5,7,1]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(7,5)],8)
[6,4,3,1,2,5,8,7]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(4,7),(7,5),(7,6)],8)
[7,4,1,3,2,5,8,6]=>([(0,7),(1,6),(2,3),(2,4),(3,7),(4,7),(7,5),(7,6)],8)
[7,4,1,3,2,6,8,5]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[7,5,1,3,6,2,8,4]=>([(0,7),(1,5),(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[7,5,1,4,6,8,2,3]=>([(0,7),(1,6),(2,3),(2,4),(3,7),(4,5),(7,6)],8)
[7,5,8,3,6,2,1,4]=>([(0,7),(1,7),(2,6),(3,5),(3,7),(4,5),(4,6)],8)
[7,4,8,3,2,6,1,5]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7)],8)
[7,4,8,3,2,5,1,6]=>([(0,7),(1,7),(2,5),(3,6),(4,5),(4,7),(7,6)],8)
[6,4,3,8,2,5,1,7]=>([(0,7),(1,6),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
[6,4,3,7,2,5,8,1]=>([(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[5,4,3,2,8,6,1,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(7,5)],8)
[5,4,3,2,8,7,1,6]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,5,3,8,7,2,1,4]=>([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,5,4,8,7,1,2,3]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5)],8)
[6,5,4,1,7,8,2,3]=>([(0,7),(1,7),(2,7),(3,4),(3,7),(4,6),(7,5)],8)
[6,5,3,1,7,2,8,4]=>([(0,7),(1,7),(2,5),(2,7),(3,4),(3,7),(4,5),(4,6),(7,6)],8)
[6,4,3,1,2,7,8,5]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)
[5,4,3,2,1,8,6,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[6,5,3,1,8,2,7,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7)],8)
[6,5,4,1,8,7,2,3]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8)
[7,5,1,4,8,6,2,3]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(4,6),(4,7)],8)
[7,4,1,3,2,8,6,5]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,4,1,3,2,8,5,6]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[6,4,3,1,2,8,5,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(4,6),(4,7),(6,5)],8)
[6,4,3,1,2,7,5,8]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5),(7,5)],8)
[6,4,3,8,2,7,5,1]=>([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,5,3,8,7,2,4,1]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7)],8)
[6,5,3,1,7,2,4,8]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,7),(4,6),(6,5),(7,5)],8)
[6,5,3,1,8,2,4,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,5),(5,6)],8)
[7,5,1,3,8,2,4,6]=>([(0,7),(1,5),(1,7),(2,3),(2,4),(3,6),(4,6),(4,7),(6,5)],8)
[7,6,1,8,3,2,4,5]=>([(0,7),(1,7),(2,3),(2,4),(2,7),(3,6),(4,6),(6,5)],8)
[7,6,1,8,4,5,2,3]=>([(0,7),(1,7),(2,5),(2,6),(2,7),(5,4),(6,3)],8)
[7,6,8,1,4,5,2,3]=>([(0,7),(1,7),(2,5),(2,6),(5,4),(6,3)],8)
[7,6,8,1,3,2,5,4]=>([(0,5),(1,5),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7)],8)
[6,5,3,7,8,2,4,1]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(7,5)],8)
[6,4,3,7,2,8,5,1]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(7,5)],8)
[6,4,3,7,2,1,5,8]=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[7,4,8,3,2,1,5,6]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(4,7),(7,5)],8)
[7,4,8,3,2,1,6,5]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7)],8)
[7,5,8,3,1,2,6,4]=>([(0,6),(0,7),(1,5),(2,5),(2,7),(3,4),(4,6),(4,7)],8)
[7,5,8,4,1,6,2,3]=>([(0,7),(1,6),(2,6),(2,7),(3,4),(3,7),(4,5)],8)
[6,5,4,8,1,7,2,3]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5)],8)
[6,5,3,8,1,2,7,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,7)],8)
[5,4,3,2,8,1,7,6]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,4,3,7,2,1,8,5]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[6,5,3,7,1,2,8,4]=>([(0,7),(1,7),(2,5),(2,7),(3,4),(4,5),(4,6),(7,6)],8)
[6,5,4,7,1,8,2,3]=>([(0,7),(1,7),(2,7),(3,4),(3,6),(4,5),(7,6)],8)
[6,5,3,7,8,2,1,4]=>([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(7,5)],8)
[6,4,3,7,2,8,1,5]=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(6,5)],8)
[5,4,3,2,7,8,1,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[5,4,3,2,6,8,1,7]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(7,5),(7,6)],8)
[5,6,2,1,3,4,8,7]=>([(0,5),(1,5),(2,3),(3,6),(3,7),(4,6),(4,7),(5,4)],8)
[5,3,7,8,2,1,4,6]=>([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(6,4),(7,5)],8)
[7,6,1,2,5,8,3,4]=>([(0,7),(1,7),(2,6),(4,7),(5,3),(6,4),(6,5)],8)
[2,1,7,8,4,3,5,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,2),(5,3),(6,4),(7,4)],8)
[7,8,1,2,5,4,6,3]=>([(0,5),(1,6),(3,7),(4,7),(6,2),(6,3),(6,4)],8)
[8,4,1,3,7,6,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(3,7),(4,5),(4,6),(4,7)],8)
[6,5,2,1,8,7,4,3]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[4,7,2,8,1,3,6,5]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(7,4),(7,5)],8)
[7,3,8,6,1,2,5,4]=>([(0,5),(1,4),(2,3),(2,5),(2,6),(2,7),(4,6),(4,7)],8)
[3,4,7,1,8,2,6,5]=>([(0,3),(0,7),(1,4),(2,7),(3,5),(3,6),(4,2),(4,5),(4,6)],8)
[1,8,2,4,3,5,6,7]=>([(0,4),(0,6),(2,7),(3,7),(5,1),(6,2),(6,3),(7,5)],8)
[1,7,2,4,3,5,6,8]=>([(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3)],8)
[1,6,2,4,3,5,7,8]=>([(0,4),(0,5),(2,6),(3,6),(4,7),(5,2),(5,3),(6,7),(7,1)],8)
[1,5,2,4,3,6,7,8]=>([(0,4),(0,6),(2,7),(3,7),(4,7),(5,1),(6,2),(6,3),(7,5)],8)
[1,6,2,5,3,4,7,8]=>([(0,4),(0,6),(1,7),(2,7),(4,7),(5,2),(6,1),(6,5),(7,3)],8)
[1,7,2,5,3,4,6,8]=>([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(5,4),(6,7)],8)
[1,8,2,5,3,4,6,7]=>([(0,4),(0,6),(1,7),(2,7),(5,2),(6,1),(6,5),(7,3)],8)
[1,8,2,6,3,4,5,7]=>([(0,3),(0,6),(1,7),(2,7),(4,5),(5,2),(6,1),(6,4)],8)
[1,7,2,6,3,4,5,8]=>([(0,3),(0,6),(1,7),(2,7),(3,7),(4,5),(5,2),(6,1),(6,4)],8)
[1,8,2,7,3,5,4,6]=>([(0,4),(0,6),(2,7),(3,7),(5,2),(5,3),(6,1),(6,5)],8)
[1,7,2,8,3,5,4,6]=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,5),(4,7),(5,1),(5,2)],8)
[1,6,2,8,3,5,4,7]=>([(0,3),(0,4),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,1),(5,2)],8)
[1,5,2,8,3,6,4,7]=>([(0,2),(0,4),(1,7),(2,5),(2,6),(3,1),(3,6),(4,3),(4,5),(6,7)],8)
[1,4,2,8,3,6,5,7]=>([(0,1),(0,3),(1,2),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[1,3,2,8,4,6,5,7]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(7,1),(7,2)],8)
[1,2,3,8,4,6,5,7]=>([(0,4),(2,7),(3,7),(4,6),(5,2),(5,3),(6,1),(6,5)],8)
[1,2,3,7,4,6,5,8]=>([(0,4),(1,7),(2,7),(3,7),(4,6),(5,2),(5,3),(6,1),(6,5)],8)
[1,3,2,7,4,6,5,8]=>([(0,3),(0,4),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,1),(6,2)],8)
[1,4,2,7,3,6,5,8]=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,1),(3,6),(4,7),(5,7),(6,7)],8)
[1,5,2,7,3,6,4,8]=>([(0,2),(0,4),(1,7),(2,5),(2,6),(3,1),(3,6),(4,3),(4,5),(5,7),(6,7)],8)
[1,6,2,7,3,5,4,8]=>([(0,3),(0,4),(1,7),(2,7),(3,6),(4,5),(4,6),(5,1),(5,2),(6,7)],8)
[1,7,2,6,3,5,4,8]=>([(0,4),(0,6),(1,7),(2,7),(3,7),(4,7),(5,2),(5,3),(6,1),(6,5)],8)
[1,8,2,6,3,5,4,7]=>([(0,4),(0,6),(1,7),(2,7),(3,7),(5,2),(5,3),(6,1),(6,5)],8)
[1,8,2,5,3,6,4,7]=>([(0,3),(0,5),(1,7),(2,6),(4,1),(4,6),(5,2),(5,4),(6,7)],8)
[1,7,2,5,3,6,4,8]=>([(0,3),(0,5),(1,7),(2,6),(3,7),(4,1),(4,6),(5,2),(5,4),(6,7)],8)
[1,6,2,5,3,7,4,8]=>([(0,3),(0,5),(1,7),(2,6),(3,7),(4,2),(4,7),(5,1),(5,4),(7,6)],8)
[1,5,2,4,3,7,6,8]=>([(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,1),(4,2),(6,5),(7,5)],8)
[1,6,2,4,3,7,5,8]=>([(0,3),(0,4),(1,5),(1,7),(2,5),(2,7),(3,7),(4,1),(4,2),(5,6),(7,6)],8)
[1,7,2,4,3,6,5,8]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,7),(4,1),(4,2),(5,7),(6,7)],8)
[1,8,2,4,3,6,5,7]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2),(5,7),(6,7)],8)
[1,8,2,3,4,6,5,7]=>([(0,3),(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2)],8)
[1,7,2,3,4,6,5,8]=>([(0,3),(0,5),(1,7),(2,7),(3,7),(4,6),(5,4),(6,1),(6,2)],8)
[1,8,2,3,4,7,5,6]=>([(0,3),(0,6),(4,7),(5,2),(6,4),(7,1),(7,5)],8)
[1,8,2,4,3,7,5,6]=>([(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(5,2),(5,3),(7,1)],8)
[1,7,2,4,3,8,5,6]=>([(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(4,7),(5,1),(5,2),(6,3)],8)
[1,6,2,4,3,8,5,7]=>([(0,3),(0,4),(1,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,1),(4,2),(5,6)],8)
[1,5,2,4,3,8,6,7]=>([(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3),(7,1)],8)
[1,6,2,5,3,8,4,7]=>([(0,3),(0,5),(1,6),(2,6),(2,7),(3,6),(3,7),(4,1),(4,7),(5,2),(5,4)],8)
[1,7,2,5,3,8,4,6]=>([(0,3),(0,5),(1,6),(2,6),(2,7),(3,7),(4,1),(4,7),(5,2),(5,4)],8)
[1,8,2,5,3,7,4,6]=>([(0,3),(0,5),(1,6),(2,6),(2,7),(4,1),(4,7),(5,2),(5,4)],8)
[1,8,2,6,3,7,4,5]=>([(0,3),(0,6),(2,7),(4,1),(5,4),(5,7),(6,2),(6,5)],8)
[1,7,2,6,3,8,4,5]=>([(0,3),(0,6),(2,7),(3,7),(4,1),(5,4),(5,7),(6,2),(6,5)],8)
[1,2,3,8,4,7,5,6]=>([(0,5),(4,3),(5,6),(6,2),(6,7),(7,1),(7,4)],8)
[1,3,2,8,4,7,5,6]=>([(0,3),(0,4),(3,6),(3,7),(4,6),(4,7),(5,2),(7,1),(7,5)],8)
[1,4,2,8,3,7,5,6]=>([(0,3),(0,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,2),(4,6),(7,1)],8)
[1,5,2,8,3,7,4,6]=>([(0,2),(0,4),(1,5),(2,5),(2,6),(2,7),(3,1),(3,7),(4,3),(4,6)],8)
[1,6,2,8,3,7,4,5]=>([(0,2),(0,5),(2,6),(2,7),(3,1),(4,3),(4,6),(5,4),(5,7)],8)
[1,7,2,8,3,6,4,5]=>([(0,3),(0,5),(3,7),(4,2),(5,6),(5,7),(6,1),(6,4)],8)
[1,8,2,7,3,6,4,5]=>([(0,4),(0,7),(5,3),(6,2),(6,5),(7,1),(7,6)],8)
[4,6,3,7,2,5,1,8]=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(5,7),(6,7)],8)
[4,6,3,7,5,2,1,8]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,6,3,8,5,1,7,2]=>([(0,5),(0,6),(1,3),(1,7),(2,4),(2,5),(4,6),(4,7),(5,7)],8)
[4,6,3,8,5,1,2,7]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,7)],8)
[5,6,8,3,4,1,2,7]=>([(0,5),(1,4),(2,6),(4,7),(5,7),(6,3),(6,7)],8)
[5,6,8,3,4,1,7,2]=>([(0,5),(1,6),(2,4),(2,7),(5,7),(6,3),(6,7)],8)
[4,6,2,7,5,3,1,8]=>([(0,7),(1,3),(1,5),(2,4),(2,5),(2,6),(3,6),(4,7),(5,7),(6,7)],8)
[5,6,7,2,4,3,1,8]=>([(0,7),(1,6),(2,4),(2,5),(3,7),(4,7),(5,7),(6,3)],8)
[5,6,8,4,3,1,7,2]=>([(0,7),(1,7),(2,5),(3,4),(3,7),(5,6),(5,7)],8)
[5,6,8,4,3,1,2,7]=>([(0,7),(1,7),(2,4),(3,5),(4,7),(5,6),(5,7)],8)
[5,7,8,4,1,6,2,3]=>([(0,7),(1,6),(1,7),(2,5),(2,7),(5,3),(6,4)],8)
[5,7,8,4,1,6,3,2]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(6,3)],8)
[5,7,8,4,1,3,6,2]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(5,7),(6,3)],8)
[5,6,8,4,2,1,7,3]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(4,7)],8)
[5,6,8,2,4,1,7,3]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(3,7),(4,5),(4,7)],8)
[4,6,2,8,5,1,7,3]=>([(0,4),(0,7),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6),(3,7),(5,7)],8)
[3,2,6,8,5,1,7,4]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,3),(5,7)],8)
[3,2,6,8,5,1,4,7]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,3),(5,7),(6,7)],8)
[4,6,2,8,5,1,3,7]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6),(3,7),(4,7),(5,7)],8)
[5,6,8,2,4,1,3,7]=>([(0,6),(1,4),(2,3),(2,6),(3,7),(4,5),(4,7),(6,7)],8)
[5,6,8,4,2,1,3,7]=>([(0,7),(1,6),(2,6),(3,4),(4,5),(4,7),(6,7)],8)
[5,7,8,4,1,3,2,6]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(4,7),(5,7),(6,3)],8)
[5,7,8,4,1,2,6,3]=>([(0,7),(1,6),(2,5),(2,7),(5,4),(6,3),(6,7)],8)
[5,7,8,4,1,2,3,6]=>([(0,7),(1,5),(2,6),(2,7),(4,7),(5,4),(6,3)],8)
[6,7,8,1,5,2,3,4]=>([(0,7),(1,4),(1,6),(5,3),(6,5),(7,2)],8)
[6,7,8,1,5,2,4,3]=>([(0,6),(1,5),(1,7),(6,4),(7,2),(7,3)],8)
[6,7,8,1,5,3,2,4]=>([(0,6),(1,3),(1,4),(1,5),(4,7),(5,7),(6,2)],8)
[6,7,8,1,3,5,2,4]=>([(0,6),(1,4),(1,5),(4,7),(5,3),(5,7),(6,2)],8)
[5,7,8,2,1,6,3,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,5),(6,4)],8)
[4,7,2,8,1,6,3,5]=>([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,6),(4,5)],8)
[3,2,7,8,1,6,4,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(5,4),(7,3)],8)
[3,2,7,8,1,6,5,4]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(4,3)],8)
[4,7,2,8,1,6,5,3]=>([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5)],8)
[5,7,8,2,1,6,4,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4)],8)
[6,7,8,1,3,5,4,2]=>([(0,6),(1,5),(1,7),(6,4),(7,2),(7,3)],8)
[6,7,8,1,5,3,4,2]=>([(0,7),(1,4),(1,5),(1,6),(6,3),(7,2)],8)
[6,7,8,1,5,4,3,2]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(7,2)],8)
[6,7,8,1,5,4,2,3]=>([(0,7),(1,4),(1,5),(1,6),(6,3),(7,2)],8)
[6,7,8,1,4,5,2,3]=>([(0,7),(1,5),(1,6),(5,4),(6,3),(7,2)],8)
[6,7,8,1,4,5,3,2]=>([(0,7),(1,4),(1,5),(1,6),(6,3),(7,2)],8)
[6,7,8,1,4,3,5,2]=>([(0,6),(1,3),(1,4),(1,5),(4,7),(5,7),(6,2)],8)
[6,7,8,1,3,4,5,2]=>([(0,7),(1,4),(1,6),(5,3),(6,5),(7,2)],8)
[5,7,8,2,1,4,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,7),(3,4),(6,7)],8)
[4,7,2,8,1,5,6,3]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,7),(3,6),(7,4)],8)
[3,2,7,8,1,5,6,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(5,4),(7,3)],8)
[3,2,6,8,4,1,7,5]=>([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(4,5),(4,7),(6,3),(6,7)],8)
[4,6,2,8,3,1,7,5]=>([(0,6),(0,7),(1,4),(1,6),(2,3),(2,5),(3,6),(3,7),(4,5),(4,7)],8)
[5,6,8,3,2,1,7,4]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(4,7)],8)
[5,7,8,3,1,4,6,2]=>([(0,6),(1,4),(1,7),(2,3),(2,6),(4,5),(6,7)],8)
[5,7,8,3,1,6,4,2]=>([(0,6),(0,7),(1,4),(1,7),(2,3),(2,6),(2,7),(4,5)],8)
[5,7,8,3,1,6,2,4]=>([(0,6),(0,7),(1,3),(1,7),(2,4),(2,7),(3,5),(4,6)],8)
[4,7,3,8,1,6,2,5]=>([(0,5),(0,6),(0,7),(1,3),(1,6),(2,4),(2,6),(2,7),(3,7),(4,5)],8)
[4,7,3,8,1,6,5,2]=>([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(4,5)],8)
[4,7,3,8,1,5,6,2]=>([(0,6),(0,7),(1,3),(1,7),(2,5),(2,7),(5,6),(7,4)],8)
[4,6,3,8,2,1,7,5]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7)],8)
[4,5,3,2,8,1,7,6]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[4,5,2,3,8,1,7,6]=>([(0,6),(0,7),(1,4),(2,3),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,2,5,4,8,1,7,6]=>([(0,6),(0,7),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,5,3,2,8,1,6,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)
[4,6,3,8,2,1,5,7]=>([(0,7),(1,7),(2,5),(2,7),(3,4),(3,7),(4,5),(4,6),(7,6)],8)
[4,7,3,8,1,5,2,6]=>([(0,5),(0,7),(1,3),(1,7),(2,4),(2,7),(3,5),(4,6),(7,6)],8)
[4,7,3,8,1,2,6,5]=>([(0,5),(0,6),(0,7),(1,3),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5)],8)
[4,7,3,8,1,2,5,6]=>([(0,6),(0,7),(1,3),(2,5),(2,7),(3,7),(5,6),(7,4)],8)
[5,7,8,3,1,2,4,6]=>([(0,7),(1,3),(2,4),(2,6),(3,7),(4,5),(7,6)],8)
[5,7,8,3,1,2,6,4]=>([(0,6),(0,7),(1,4),(2,3),(2,7),(3,5),(4,6),(4,7)],8)
[5,7,8,3,1,4,2,6]=>([(0,6),(1,3),(1,7),(2,4),(2,6),(3,5),(4,7),(6,7)],8)
[5,6,8,3,2,1,4,7]=>([(0,7),(1,7),(2,7),(3,4),(4,5),(4,6),(7,6)],8)
[3,2,7,8,1,5,4,6]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(5,3),(6,4),(7,4)],8)
[5,7,8,2,1,4,3,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,7),(3,4),(5,7),(6,7)],8)
[6,7,8,1,3,4,2,5]=>([(0,6),(1,4),(1,5),(3,7),(4,7),(5,3),(6,2)],8)
[6,7,8,1,4,3,2,5]=>([(0,6),(1,3),(1,4),(1,5),(3,7),(4,7),(5,7),(6,2)],8)
[6,7,8,1,4,2,5,3]=>([(0,6),(1,4),(1,5),(4,7),(5,3),(5,7),(6,2)],8)
[6,7,8,1,4,2,3,5]=>([(0,6),(1,4),(1,5),(3,7),(4,7),(5,3),(6,2)],8)
[6,7,8,1,2,5,3,4]=>([(0,6),(1,7),(5,4),(6,2),(7,3),(7,5)],8)
[6,7,8,1,2,5,4,3]=>([(0,7),(1,6),(6,5),(7,2),(7,3),(7,4)],8)
[6,7,8,1,2,4,5,3]=>([(0,6),(1,7),(5,4),(6,2),(7,3),(7,5)],8)
[6,7,8,1,3,2,5,4]=>([(0,5),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[5,7,8,2,1,3,6,4]=>([(0,7),(1,7),(2,4),(2,6),(4,5),(7,3),(7,6)],8)
[3,2,7,8,1,4,6,5]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(6,5),(7,3),(7,4)],8)
[6,7,8,1,3,2,4,5]=>([(0,6),(1,3),(1,4),(3,7),(4,7),(6,2),(7,5)],8)
[6,7,8,1,2,4,3,5]=>([(0,6),(1,5),(3,7),(4,7),(5,2),(6,3),(6,4)],8)
[6,7,8,1,2,3,5,4]=>([(0,5),(1,6),(5,4),(6,7),(7,2),(7,3)],8)
[7,2,8,5,1,6,4,3]=>([(0,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5)],8)
[1,3,7,5,2,6,4,8]=>([(0,3),(0,4),(1,7),(2,5),(3,5),(3,6),(4,1),(4,2),(4,6),(5,7),(6,7)],8)
[1,3,7,5,4,2,6,8]=>([(0,4),(0,5),(1,7),(2,7),(3,6),(4,7),(5,1),(5,2),(5,3),(7,6)],8)
[7,2,8,5,4,1,6,3]=>([(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7)],8)
[2,8,5,4,3,1,7,6]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,4,5,6,1,7,3]=>([(0,6),(0,7),(1,2),(1,5),(1,7),(3,6),(4,3),(5,4)],8)
[2,8,6,5,7,3,1,4]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(3,7),(4,6),(5,6)],8)
[2,8,4,5,3,7,1,6]=>([(0,7),(1,2),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3)],8)
[2,8,4,3,5,6,1,7]=>([(0,6),(1,2),(1,3),(1,4),(3,7),(4,7),(5,6),(7,5)],8)
[7,2,8,4,5,6,1,3]=>([(0,7),(1,6),(2,3),(2,6),(2,7),(3,5),(5,4)],8)
[1,6,3,7,5,2,4,8]=>([(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,1),(4,5),(4,6),(5,7),(6,7)],8)
[6,2,3,8,5,1,7,4]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(3,4),(3,5),(3,6),(4,7)],8)
[6,3,2,8,5,1,4,7]=>([(0,6),(1,5),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(6,7)],8)
[7,4,8,2,5,6,3,1]=>([(1,6),(2,6),(2,7),(3,5),(3,7),(7,4)],8)
[7,4,8,5,2,1,3,6]=>([(0,5),(1,6),(2,6),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,8,5,1,3,7,2]=>([(0,6),(0,7),(1,5),(1,6),(2,3),(2,4),(4,7),(5,7)],8)
[6,3,7,5,2,1,8,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[4,3,7,5,1,2,8,6]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(3,7),(4,7),(5,6),(5,7)],8)
[4,3,7,1,5,6,8,2]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,7),(4,6),(5,6),(7,4)],8)
[3,6,1,7,5,2,8,4]=>([(0,2),(0,4),(0,6),(1,3),(1,5),(1,6),(2,5),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,1,2,7,6,8,5]=>([(0,3),(1,2),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[3,4,2,1,7,5,8,6]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(4,6),(4,7),(6,5),(7,3),(7,5)],8)
[3,6,5,7,1,4,8,2]=>([(0,4),(0,7),(1,2),(1,3),(1,7),(2,5),(3,5),(5,6),(7,6)],8)
[6,5,2,7,4,1,8,3]=>([(0,6),(1,6),(2,5),(2,7),(3,4),(3,5),(3,6),(4,7),(6,7)],8)
[3,5,2,6,4,8,7,1]=>([(1,3),(1,6),(2,6),(2,7),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[5,3,1,8,6,4,7,2]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(4,5),(7,5)],8)
[5,6,1,8,7,2,4,3]=>([(0,4),(1,5),(1,6),(1,7),(4,6),(4,7),(5,2),(5,3)],8)
[6,3,5,8,2,7,4,1]=>([(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(4,6),(4,7)],8)
[6,5,8,4,2,3,7,1]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,7)],8)
[6,2,5,8,3,7,1,4]=>([(0,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,5,7,3,4,2,8]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(6,7)],8)
[1,5,2,7,4,6,3,8]=>([(0,3),(0,4),(1,7),(2,5),(3,5),(3,6),(4,1),(4,2),(4,6),(5,7),(6,7)],8)
[5,2,1,8,7,6,3,4]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(4,3)],8)
[7,1,3,8,4,6,2,5]=>([(0,7),(1,3),(1,4),(3,6),(4,5),(4,7),(5,2),(5,6)],8)
[2,3,4,8,6,1,7,5]=>([(0,6),(0,7),(1,4),(3,6),(4,5),(5,2),(5,3),(5,7)],8)
[2,3,4,8,6,5,1,7]=>([(0,7),(1,5),(3,7),(4,7),(5,6),(6,2),(6,3),(6,4)],8)
[2,7,3,5,8,6,1,4]=>([(0,7),(1,3),(1,4),(3,6),(4,5),(4,7),(5,2),(5,6)],8)
[3,2,4,7,8,6,1,5]=>([(0,7),(1,7),(2,6),(4,5),(7,3),(7,4),(7,6)],8)
[1,5,4,6,2,7,3,8]=>([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,7),(5,7),(7,6)],8)
[5,2,4,7,1,8,3,6]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,5),(3,6),(3,7),(5,7),(6,4)],8)
[5,3,6,4,1,8,7,2]=>([(0,5),(1,3),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,6,1,4,8,2,7]=>([(0,4),(1,4),(1,5),(2,3),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,5,6,8,4,2,1]=>([(2,7),(3,4),(3,5),(5,6),(6,7)],8)
[6,3,5,1,8,2,7,4]=>([(0,6),(0,7),(1,4),(1,6),(2,3),(2,5),(3,6),(3,7),(4,5),(4,7)],8)
[2,6,1,5,8,4,7,3]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,7),(5,7),(6,3),(6,7)],8)
[2,7,6,5,8,3,4,1]=>([(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,2)],8)
[5,7,1,6,3,8,4,2]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(4,7),(5,2),(5,7),(6,7)],8)
[3,2,4,1,7,8,5,6]=>([(0,5),(1,5),(2,6),(2,7),(5,6),(5,7),(6,4),(7,3)],8)
[3,1,4,2,7,8,6,5]=>([(0,7),(1,3),(1,7),(3,4),(3,5),(3,6),(6,2),(7,4),(7,5),(7,6)],8)
[5,1,4,7,2,8,6,3]=>([(0,6),(0,7),(1,3),(1,4),(3,6),(3,7),(4,2),(4,5),(4,7),(6,5)],8)
[3,6,4,7,8,2,5,1]=>([(1,6),(2,3),(2,5),(3,7),(5,6),(5,7),(7,4)],8)
[3,1,4,6,8,5,7,2]=>([(0,7),(1,3),(1,7),(4,6),(5,2),(5,6),(7,4),(7,5)],8)
[6,3,4,5,7,1,8,2]=>([(0,6),(1,4),(2,3),(2,7),(4,5),(5,6),(6,7)],8)
[2,5,4,6,1,7,8,3]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(3,5),(4,5),(5,7),(7,2)],8)
[7,2,1,4,3,6,5,8]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(5,3),(5,4),(6,3),(6,4)],8)
[7,3,4,1,2,6,5,8]=>([(0,7),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,4,3,2,1,6,5,8]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(6,5),(7,5)],8)
[7,6,3,2,5,4,1,8]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[6,7,3,2,5,4,8,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,7),(5,7),(6,7)],8)
[1,8,3,2,5,4,7,6]=>([(0,1),(0,2),(0,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[1,8,4,5,2,3,7,6]=>([(0,3),(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(4,2),(5,1)],8)
[7,3,5,1,6,2,4,8]=>([(0,7),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5),(5,7),(6,7)],8)
[7,2,1,5,6,3,4,8]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(5,4),(6,3)],8)
[7,2,1,6,5,4,3,8]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[7,3,6,1,5,4,2,8]=>([(0,7),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[7,4,6,5,1,3,2,8]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(5,7),(6,7)],8)
[1,8,5,4,3,2,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,6,4,3,7,2,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,7,4,3,1,8,2]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(4,7),(6,7)],8)
[6,4,7,5,1,3,8,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(4,7),(5,7),(6,7)],8)
[6,3,7,1,5,4,8,2]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[6,2,1,7,5,4,8,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[3,2,1,8,5,4,7,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8)
[2,3,8,1,5,4,7,6]=>([(0,3),(1,6),(1,7),(3,2),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[2,5,8,4,3,1,7,6]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,6),(5,7)],8)
[2,6,8,4,3,7,1,5]=>([(0,7),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,6)],8)
[2,7,8,4,3,6,5,1]=>([(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[1,8,7,4,3,6,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,7,5,6,3,4,2]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(6,2),(7,1)],8)
[2,7,8,5,6,3,4,1]=>([(1,5),(1,6),(1,7),(5,4),(6,3),(7,2)],8)
[2,6,8,5,7,3,1,4]=>([(0,7),(1,3),(1,4),(1,5),(3,7),(4,6),(5,2),(5,6)],8)
[2,5,8,6,7,1,3,4]=>([(0,7),(1,6),(1,7),(5,3),(6,2),(6,5),(7,4)],8)
[2,4,8,6,1,7,3,5]=>([(0,6),(0,7),(1,4),(1,7),(3,6),(4,2),(4,3),(4,5),(7,5)],8)
[3,2,1,8,6,7,4,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,4),(7,3)],8)
[5,3,7,1,6,8,4,2]=>([(0,4),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,7),(4,6),(7,6)],8)
[5,4,7,6,1,8,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(5,7),(6,7)],8)
[4,5,7,6,8,1,3,2]=>([(0,6),(1,2),(1,3),(4,7),(5,7),(6,4),(6,5)],8)
[4,6,7,5,8,3,1,2]=>([(1,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)
[1,8,6,5,7,3,2,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,6)],8)
[1,8,5,6,7,2,3,4]=>([(0,3),(0,6),(0,7),(4,2),(5,1),(6,4),(7,5)],8)
[4,6,5,7,8,2,1,3]=>([(0,6),(1,6),(2,3),(2,4),(3,7),(4,7),(7,5)],8)
[5,4,6,7,1,8,2,3]=>([(0,6),(1,6),(2,3),(2,7),(3,5),(4,7),(6,4)],8)
[5,3,6,1,7,8,2,4]=>([(0,5),(1,5),(1,7),(2,4),(2,6),(4,7),(5,6),(6,3)],8)
[5,2,1,6,7,8,3,4]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(6,4),(7,3)],8)
[6,2,1,5,7,3,8,4]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(5,4),(6,5),(7,3),(7,4)],8)
[6,3,5,1,7,2,8,4]=>([(0,7),(1,4),(1,7),(2,3),(2,5),(3,7),(4,5),(4,6),(7,6)],8)
[6,4,5,7,1,2,8,3]=>([(0,6),(1,3),(2,4),(3,5),(3,7),(4,6),(6,7)],8)
[6,5,4,7,2,1,8,3]=>([(0,6),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
[5,6,4,7,2,8,1,3]=>([(0,7),(1,5),(2,5),(2,6),(3,4),(4,7),(7,6)],8)
[1,8,4,6,2,7,3,5]=>([(0,3),(0,4),(0,5),(1,7),(2,6),(4,2),(4,7),(5,1),(5,6)],8)
[1,8,3,2,6,7,4,5]=>([(0,3),(0,4),(0,5),(4,6),(4,7),(5,6),(5,7),(6,2),(7,1)],8)
[5,7,3,2,6,8,4,1]=>([(1,5),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(7,6)],8)
[5,6,3,2,7,8,1,4]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(4,7),(7,5)],8)
[6,5,3,2,7,1,8,4]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(7,5)],8)
[6,4,3,2,1,7,8,5]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[6,2,1,4,3,7,8,5]=>([(0,7),(1,4),(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[4,6,3,2,8,7,1,5]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6)],8)
[4,7,3,2,8,6,5,1]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7)],8)
[1,8,3,2,7,6,5,4]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,8,4,7,2,6,5,3]=>([(0,3),(0,4),(0,5),(4,2),(4,6),(4,7),(5,1),(5,6),(5,7)],8)
[3,6,4,8,2,7,1,5]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(3,5),(3,7),(4,5),(4,6),(4,7)],8)
[3,4,5,8,1,2,7,6]=>([(0,5),(1,3),(3,6),(3,7),(4,2),(4,6),(4,7),(5,4)],8)
[4,3,5,1,8,2,7,6]=>([(0,7),(1,7),(2,3),(2,6),(3,4),(3,5),(7,4),(7,5),(7,6)],8)
[4,2,1,5,8,3,7,6]=>([(0,7),(1,4),(1,7),(2,4),(2,7),(4,5),(4,6),(7,3),(7,5),(7,6)],8)
[4,2,1,6,8,7,3,5]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(5,6),(7,3),(7,4)],8)
[3,4,6,8,1,7,2,5]=>([(0,5),(1,3),(1,7),(3,6),(4,2),(4,7),(5,4),(5,6)],8)
[3,5,6,8,7,1,2,4]=>([(0,4),(1,5),(1,7),(4,7),(5,6),(6,2),(6,3)],8)
[3,6,5,8,7,2,1,4]=>([(0,7),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[1,8,5,7,6,2,4,3]=>([(0,5),(0,6),(0,7),(6,3),(6,4),(7,1),(7,2)],8)
[1,8,6,7,5,4,2,3]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(6,2),(7,1)],8)
[3,6,7,8,5,4,1,2]=>([(0,5),(1,3),(1,4),(1,7),(6,2),(7,6)],8)
[3,5,7,8,6,1,4,2]=>([(0,4),(0,7),(1,6),(1,7),(5,3),(6,2),(6,5)],8)
[3,4,7,8,1,6,5,2]=>([(0,5),(1,3),(1,6),(1,7),(4,2),(5,4),(5,6),(5,7)],8)
[4,2,1,7,8,6,5,3]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[2,3,8,1,7,6,5,4]=>([(0,3),(1,4),(1,5),(1,6),(1,7),(3,2),(3,4),(3,5),(3,6),(3,7)],8)
[2,4,8,7,1,6,5,3]=>([(0,5),(0,6),(0,7),(1,4),(1,7),(4,2),(4,3),(4,5),(4,6)],8)
[7,4,6,1,8,3,5,2]=>([(0,7),(1,4),(1,6),(2,3),(2,5),(2,7),(4,7),(5,6)],8)
[8,3,5,1,7,4,6,2]=>([(1,4),(1,5),(2,3),(2,5),(2,6),(4,6),(4,7),(5,7)],8)
[8,3,4,1,7,5,6,2]=>([(1,5),(2,3),(2,6),(2,7),(5,6),(5,7),(7,4)],8)
[4,8,3,1,7,5,6,2]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(7,5)],8)
[4,6,2,1,7,5,8,3]=>([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(3,7),(6,5),(7,5)],8)
[1,4,6,2,7,5,8,3]=>([(0,3),(0,4),(2,5),(3,2),(3,6),(4,1),(4,5),(4,6),(5,7),(6,7)],8)
[1,7,5,2,6,8,4,3]=>([(0,3),(0,4),(0,5),(3,7),(4,6),(5,1),(5,2),(5,6),(6,7)],8)
[7,5,2,1,6,8,4,3]=>([(0,7),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(7,6)],8)
[6,8,4,3,1,7,5,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7)],8)
[3,6,8,4,1,7,5,2]=>([(0,4),(0,6),(0,7),(1,3),(1,5),(3,6),(3,7),(5,2),(5,7)],8)
[3,6,7,5,1,8,4,2]=>([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(2,7),(3,7),(5,2)],8)
[7,5,6,1,8,3,4,2]=>([(0,7),(1,5),(2,4),(2,6),(2,7),(5,7),(6,3)],8)
[3,4,6,5,7,1,8,2]=>([(0,4),(0,7),(1,5),(2,6),(3,6),(5,2),(5,3),(6,7)],8)
[4,7,5,6,1,8,3,2]=>([(0,5),(0,6),(1,3),(1,4),(1,7),(2,7),(5,7),(6,2)],8)
[6,7,5,1,8,4,3,2]=>([(0,7),(1,6),(2,3),(2,4),(2,5),(2,7),(6,7)],8)
[6,8,4,1,7,5,3,2]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7)],8)
[6,7,5,3,1,8,4,2]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7),(5,7)],8)
[8,4,2,1,6,7,5,3]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[1,8,4,2,6,7,5,3]=>([(0,3),(0,4),(0,5),(4,6),(4,7),(5,2),(5,6),(5,7),(7,1)],8)
[1,5,3,2,7,6,8,4]=>([(0,1),(0,2),(0,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(6,5),(7,5)],8)
[5,3,2,1,7,6,8,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[2,5,3,1,7,6,8,4]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[2,8,4,1,6,7,5,3]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(4,5),(4,7),(7,2)],8)
[2,7,5,1,6,8,4,3]=>([(0,2),(0,3),(0,5),(0,6),(1,5),(1,6),(1,7),(2,4),(3,7),(7,4)],8)
[2,4,6,1,7,5,8,3]=>([(0,3),(0,5),(1,5),(1,6),(1,7),(2,7),(3,2),(3,6),(6,4),(7,4)],8)
[4,7,1,6,5,8,2,3]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,7),(4,2),(5,7),(6,7)],8)
[4,8,2,6,5,7,1,3]=>([(0,5),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(6,4),(7,4)],8)
[4,6,1,2,7,5,8,3]=>([(0,3),(0,7),(1,4),(3,5),(4,2),(4,5),(4,7),(5,6),(7,6)],8)
[7,5,1,2,6,8,4,3]=>([(0,7),(1,3),(2,6),(3,4),(3,5),(3,6),(6,7)],8)
[8,4,1,2,6,7,5,3]=>([(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)
[5,3,1,2,7,6,8,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[1,2,5,3,7,6,8,4]=>([(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,2),(4,3),(5,7),(6,7)],8)
[4,3,1,2,7,6,8,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[3,5,1,2,7,6,8,4]=>([(0,3),(1,2),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[6,7,1,5,8,2,3,4]=>([(0,4),(1,3),(1,6),(3,7),(4,7),(5,2),(6,5)],8)
[2,7,6,1,5,8,3,4]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,2)],8)
[2,3,5,1,7,6,8,4]=>([(0,2),(1,5),(1,6),(1,7),(2,3),(2,5),(3,6),(3,7),(6,4),(7,4)],8)
[7,6,1,5,8,3,2,4]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(5,6)],8)
[3,6,7,1,5,8,2,4]=>([(0,3),(0,7),(1,4),(1,6),(1,7),(2,5),(3,6),(4,2),(7,5)],8)
[7,1,6,5,8,2,4,3]=>([(0,7),(1,4),(1,5),(1,6),(4,7),(5,7),(6,2),(6,3)],8)
[7,5,1,6,8,4,2,3]=>([(0,7),(1,6),(2,3),(2,4),(2,6),(4,5),(6,7)],8)
[8,4,1,6,7,5,2,3]=>([(1,6),(1,7),(2,4),(2,6),(2,7),(4,5),(7,3)],8)
[5,2,3,1,7,6,8,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[3,5,2,1,7,6,8,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(3,6),(3,7),(6,4),(7,4)],8)
[1,3,5,2,7,6,8,4]=>([(0,1),(0,3),(1,2),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[1,7,6,2,5,8,3,4]=>([(0,3),(0,4),(0,6),(2,7),(3,7),(4,7),(5,1),(6,2),(6,5)],8)
[7,6,2,1,5,8,3,4]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(5,7),(6,4)],8)
[8,3,1,5,7,6,2,4]=>([(1,6),(1,7),(2,3),(2,6),(3,7),(6,4),(6,5)],8)
[6,2,4,1,7,5,8,3]=>([(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(6,5),(7,5)],8)
[6,2,5,1,7,4,8,3]=>([(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(3,7),(5,6),(7,6)],8)
[7,1,6,4,8,2,5,3]=>([(0,7),(1,3),(1,4),(1,5),(3,7),(4,6),(4,7),(5,2),(5,6)],8)
[8,2,6,4,7,1,5,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7)],8)
[6,1,5,2,7,4,8,3]=>([(0,7),(1,3),(1,5),(3,7),(4,6),(5,2),(5,4),(5,7),(7,6)],8)
[7,6,2,5,8,3,1,4]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(4,7),(5,6)],8)
[8,3,5,7,6,2,1,4]=>([(1,7),(2,7),(3,4),(3,7),(4,5),(4,6)],8)
[1,8,3,5,7,6,2,4]=>([(0,3),(0,4),(0,5),(4,7),(5,6),(5,7),(6,1),(6,2)],8)
[1,5,2,3,7,6,8,4]=>([(0,2),(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,3),(5,7),(6,7)],8)
[5,2,1,3,7,6,8,4]=>([(0,7),(1,7),(2,5),(2,6),(5,4),(6,4),(7,3),(7,5),(7,6)],8)
[7,5,2,6,8,4,1,3]=>([(0,7),(1,5),(2,6),(3,4),(3,5),(3,6),(6,7)],8)
[8,4,2,6,7,5,1,3]=>([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[6,1,4,2,7,5,8,3]=>([(0,7),(1,3),(1,4),(3,5),(3,7),(4,2),(4,5),(4,7),(5,6),(7,6)],8)
[8,2,6,5,7,1,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7)],8)
[3,6,8,2,5,7,1,4]=>([(0,7),(1,5),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(5,6)],8)
[8,3,2,5,7,6,1,4]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5)],8)
[5,1,3,2,7,6,8,4]=>([(0,6),(0,7),(1,2),(1,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[4,1,3,2,7,6,8,5]=>([(0,2),(0,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[4,2,1,3,7,6,8,5]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,4),(7,5),(7,6)],8)
[1,4,2,3,7,6,8,5]=>([(0,1),(0,3),(1,2),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[2,4,1,3,7,6,8,5]=>([(0,7),(1,2),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,4),(7,5),(7,6)],8)
[2,5,1,3,7,6,8,4]=>([(0,7),(1,3),(1,7),(3,5),(3,6),(5,4),(6,4),(7,2),(7,5),(7,6)],8)
[2,8,3,5,7,6,1,4]=>([(0,7),(1,4),(1,5),(5,6),(5,7),(6,2),(6,3)],8)
[6,8,2,3,5,7,1,4]=>([(0,7),(1,4),(2,3),(2,6),(4,5),(4,7),(5,6)],8)
[6,7,1,3,5,8,2,4]=>([(0,4),(1,3),(1,5),(2,6),(3,7),(4,6),(5,2),(5,7)],8)
[8,3,5,7,6,1,2,4]=>([(1,5),(2,6),(2,7),(5,7),(6,3),(6,4)],8)
[5,1,2,3,7,6,8,4]=>([(0,6),(0,7),(1,3),(3,4),(4,2),(4,6),(4,7),(6,5),(7,5)],8)
[3,1,2,4,7,6,8,5]=>([(0,7),(1,3),(3,7),(4,6),(5,6),(7,2),(7,4),(7,5)],8)
[8,1,2,4,3,6,5,7]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(5,7),(6,7)],8)
[8,1,3,5,6,2,7,4]=>([(1,3),(1,5),(2,6),(3,6),(3,7),(4,2),(5,4),(5,7)],8)
[8,1,3,4,2,6,7,5]=>([(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3),(7,2)],8)
[8,1,3,2,4,5,7,6]=>([(1,4),(1,5),(4,7),(5,7),(6,2),(6,3),(7,6)],8)
[2,7,8,3,4,5,6,1]=>([(1,6),(1,7),(4,5),(5,3),(6,4),(7,2)],8)
[2,6,3,8,4,5,7,1]=>([(1,3),(1,5),(2,6),(3,6),(3,7),(4,2),(5,4),(5,7)],8)
[6,3,2,1,4,5,8,7]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(7,4)],8)
[7,3,1,4,2,6,8,5]=>([(0,5),(1,7),(2,3),(2,7),(3,4),(3,6),(6,5),(7,4),(7,6)],8)
[7,4,1,5,6,8,2,3]=>([(0,7),(1,6),(2,3),(2,6),(3,5),(4,7),(6,4)],8)
[4,7,8,5,6,1,2,3]=>([(0,7),(1,5),(1,6),(5,4),(6,3),(7,2)],8)
[3,7,8,5,6,2,1,4]=>([(0,7),(1,7),(2,5),(2,6),(2,7),(5,4),(6,3)],8)
[3,7,8,4,2,6,1,5]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(4,6),(4,7)],8)
[3,7,8,2,4,5,1,6]=>([(0,7),(1,6),(2,3),(2,6),(3,5),(4,7),(6,4)],8)
[3,6,2,8,4,5,1,7]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(3,6),(3,7),(4,7),(5,4)],8)
[2,3,6,7,4,5,8,1]=>([(1,6),(2,7),(3,7),(4,3),(5,2),(6,4),(6,5)],8)
[3,5,2,4,8,6,1,7]=>([(0,5),(1,7),(2,3),(2,7),(3,4),(3,6),(6,5),(7,4),(7,6)],8)
[3,5,4,2,8,7,1,6]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,6,5,8,7,1,2,3]=>([(0,5),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[6,4,5,1,7,8,2,3]=>([(0,7),(1,5),(2,6),(2,7),(5,7),(6,3),(7,4)],8)
[7,4,1,2,3,8,5,6]=>([(0,7),(1,6),(1,7),(2,3),(3,5),(5,6),(5,7),(6,4)],8)
[6,2,4,1,3,7,5,8]=>([(0,7),(1,4),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[2,6,4,8,3,7,5,1]=>([(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7)],8)
[2,6,5,8,7,3,4,1]=>([(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[6,2,5,1,7,3,4,8]=>([(0,7),(1,5),(1,7),(2,3),(2,5),(3,7),(4,6),(5,4),(7,6)],8)
[6,5,2,1,8,3,4,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,4)],8)
[2,5,6,7,8,3,4,1]=>([(1,6),(1,7),(4,5),(5,3),(6,4),(7,2)],8)
[2,4,6,7,3,8,5,1]=>([(1,3),(1,5),(2,6),(3,6),(3,7),(4,2),(5,4),(5,7)],8)
[4,2,6,7,3,1,5,8]=>([(0,7),(1,5),(1,7),(2,3),(2,5),(3,7),(4,6),(5,4),(7,6)],8)
[4,7,8,2,3,1,5,6]=>([(0,7),(1,5),(2,6),(2,7),(5,7),(6,3),(7,4)],8)
[4,7,8,3,2,1,6,5]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8)
[5,6,4,8,1,7,2,3]=>([(0,6),(0,7),(1,4),(2,3),(2,7),(3,5),(4,6),(4,7)],8)
[5,6,3,8,1,2,7,4]=>([(0,5),(0,6),(0,7),(1,4),(2,3),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,5,3,7,1,6,8]=>([(0,7),(1,4),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[4,3,6,7,2,1,8,5]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,4)],8)
[3,4,6,7,2,8,1,5]=>([(0,3),(1,7),(2,6),(2,7),(3,5),(3,7),(4,6),(5,4)],8)
[3,4,5,2,7,8,1,6]=>([(0,7),(1,6),(1,7),(2,3),(3,5),(5,6),(5,7),(6,4)],8)
[3,4,2,5,6,8,1,7]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(4,6),(7,4)],8)
[5,2,7,8,6,4,1,3]=>([(0,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[5,1,2,7,8,6,4,3]=>([(0,6),(0,7),(1,5),(5,3),(5,4),(5,6),(5,7),(7,2)],8)
[4,7,1,8,6,5,2,3]=>([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(3,5),(4,2)],8)
[4,7,1,2,8,6,5,3]=>([(0,4),(1,3),(1,6),(1,7),(3,5),(4,2),(4,5),(4,6),(4,7)],8)
[4,6,8,1,2,7,5,3]=>([(0,5),(1,4),(1,7),(4,2),(4,6),(5,3),(5,6),(5,7)],8)
[6,8,7,1,5,3,2,4]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,7),(4,7)],8)
[6,8,7,3,5,1,2,4]=>([(0,6),(1,5),(1,7),(2,3),(2,4),(6,7)],8)
[7,8,1,6,3,5,2,4]=>([(0,5),(1,3),(1,4),(1,6),(4,7),(6,2),(6,7)],8)
[7,8,1,3,6,5,2,4]=>([(0,5),(1,4),(1,6),(4,7),(6,2),(6,3),(6,7)],8)
[7,8,3,6,5,2,1,4]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(3,7)],8)
[4,7,2,8,6,1,5,3]=>([(0,4),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,6)],8)
[1,7,3,4,8,6,5,2]=>([(0,3),(0,4),(0,5),(4,7),(5,6),(6,1),(6,2),(6,7)],8)
[4,2,7,1,8,6,5,3]=>([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(4,5)],8)
[7,8,2,3,6,5,1,4]=>([(0,7),(1,5),(2,6),(6,3),(6,4),(6,7)],8)
[8,5,7,1,6,2,3,4]=>([(1,6),(1,7),(2,4),(2,7),(5,3),(6,5)],8)
[8,5,7,1,2,6,3,4]=>([(1,6),(2,4),(2,7),(5,3),(6,5),(6,7)],8)
[6,8,2,7,1,3,5,4]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(7,3),(7,4)],8)
[6,8,7,2,5,3,1,4]=>([(0,7),(1,3),(1,4),(2,5),(2,6),(6,7)],8)
[6,2,4,8,7,1,5,3]=>([(0,3),(0,4),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7)],8)
[1,6,8,3,7,4,5,2]=>([(0,3),(0,5),(0,6),(4,1),(5,2),(5,7),(6,4),(6,7)],8)
[1,6,8,3,4,7,5,2]=>([(0,3),(0,5),(0,6),(4,2),(4,7),(5,4),(6,1),(6,7)],8)
[6,2,4,8,1,7,5,3]=>([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7)],8)
[6,8,7,2,3,5,1,4]=>([(0,7),(1,6),(2,4),(2,5),(6,3),(6,7)],8)
[6,8,2,1,7,3,5,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(6,4),(6,5)],8)
[8,5,7,2,1,6,3,4]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(6,5)],8)
[8,5,7,1,2,3,6,4]=>([(1,6),(2,4),(2,7),(5,3),(5,7),(6,5)],8)
[8,7,6,2,1,4,3,5]=>([(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,5,7,2,3,1,6,4]=>([(1,6),(1,7),(2,5),(3,4),(3,7),(5,6),(5,7)],8)
[5,8,4,2,7,1,6,3]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)
[1,8,7,5,3,4,6,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(5,7),(6,1)],8)
[1,8,7,3,5,4,6,2]=>([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(6,1),(6,2)],8)
[8,2,5,4,7,1,6,3]=>([(1,5),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[8,5,2,7,3,1,6,4]=>([(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(4,6),(4,7)],8)
[8,7,6,2,4,3,1,5]=>([(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,7,6,1,2,4,3,5]=>([(3,4),(4,5),(4,6),(5,7),(6,7)],8)
[8,7,6,1,4,2,3,5]=>([(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,6,4,1,3,2,5]=>([(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,8,4,7,2,1,6,3]=>([(0,5),(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7)],8)
[1,8,7,5,4,3,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)
[1,6,8,4,3,7,5,2]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(3,7),(4,6),(4,7),(5,1),(5,7)],8)
[6,8,7,3,2,5,1,4]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5)],8)
[6,8,1,7,3,2,5,4]=>([(0,4),(0,7),(1,2),(1,3),(1,7),(2,5),(2,6),(3,5),(3,6)],8)
[8,5,7,3,1,6,2,4]=>([(1,6),(1,7),(2,4),(2,7),(3,5),(3,7),(5,6)],8)
[8,5,7,1,3,2,6,4]=>([(1,3),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,7,3,1,2,6,4]=>([(1,6),(1,7),(2,5),(3,4),(3,7),(5,6),(5,7)],8)
[5,8,4,7,1,2,6,3]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(2,7),(4,5),(4,7)],8)
[5,8,4,1,7,2,6,3]=>([(0,6),(0,7),(1,4),(1,6),(2,3),(2,6),(2,7),(4,5),(4,7)],8)
[5,8,4,7,1,6,2,3]=>([(0,6),(0,7),(1,4),(1,7),(2,3),(2,6),(2,7),(4,5)],8)
[8,1,2,6,5,7,4,3]=>([(1,6),(4,7),(5,7),(6,2),(6,3),(6,4),(6,5)],8)
[8,2,5,6,7,4,1,3]=>([(1,7),(2,4),(2,6),(2,7),(5,3),(6,5)],8)
[4,8,5,7,1,6,2,3]=>([(0,6),(0,7),(1,4),(1,5),(5,3),(5,7),(6,2)],8)
[4,8,5,7,1,2,6,3]=>([(0,6),(1,4),(1,5),(5,3),(5,7),(6,2),(6,7)],8)
[4,8,5,1,7,2,6,3]=>([(0,5),(0,7),(1,3),(1,4),(4,6),(4,7),(5,2),(5,6)],8)
[8,5,3,1,7,2,6,4]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7)],8)
[8,5,3,7,1,2,6,4]=>([(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(4,6),(4,7)],8)
[6,8,1,3,7,2,5,4]=>([(0,4),(0,7),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(3,7)],8)
[4,6,2,8,1,7,5,3]=>([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(3,5),(3,7)],8)
[1,6,4,8,3,7,5,2]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7)],8)
[1,8,7,4,5,3,6,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(5,7),(6,1)],8)
[4,8,5,7,2,1,6,3]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(4,5),(4,7)],8)
[8,5,3,7,2,1,6,4]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7)],8)
[8,7,6,3,1,4,2,5]=>([(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,7,6,1,3,2,4,5]=>([(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[8,5,3,2,7,1,6,4]=>([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,8,5,2,7,1,6,3]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(4,6),(4,7)],8)
[1,8,7,4,3,5,6,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7),(7,1)],8)
[1,8,7,3,4,5,6,2]=>([(0,2),(0,3),(0,4),(0,7),(5,6),(6,1),(7,5)],8)
[8,2,4,5,7,1,6,3]=>([(1,6),(1,7),(2,3),(2,6),(3,5),(5,4),(5,7)],8)
[8,5,2,3,7,1,6,4]=>([(1,6),(1,7),(2,5),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[6,3,1,5,4,2,8,7]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,1,5,2,7,6,4]=>([(1,3),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(7,4),(7,5)],8)
[8,5,4,2,1,7,3,6]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[8,5,4,2,1,7,6,3]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,5,4,2,1,3,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8)
[6,5,4,2,3,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[6,3,2,5,1,4,8,7]=>([(0,5),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,4,3,1,2,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[6,5,4,1,3,2,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,4,1,2,7,6,3]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[8,7,4,1,6,3,2,5]=>([(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[8,7,4,1,6,3,5,2]=>([(2,6),(2,7),(3,4),(3,5),(3,6),(5,7)],8)
[8,7,4,1,6,5,3,2]=>([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[8,5,4,1,3,7,6,2]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(5,6),(5,7)],8)
[8,5,4,3,1,7,6,2]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,3,2,5,1,7,6,4]=>([(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8)
[2,1,8,5,3,7,6,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(6,3),(6,4),(7,2),(7,3),(7,4)],8)
[8,3,2,5,1,7,4,6]=>([(1,4),(1,7),(2,4),(2,7),(3,5),(3,7),(4,5),(4,6),(7,6)],8)
[8,5,4,3,1,7,2,6]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[8,5,4,1,3,7,2,6]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[8,7,4,1,6,5,2,3]=>([(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8)
[8,7,4,1,6,2,5,3]=>([(2,6),(2,7),(3,4),(3,6),(4,5),(4,7)],8)
[8,7,6,5,2,1,4,3]=>([(4,6),(4,7),(5,6),(5,7)],8)
[8,7,4,3,6,2,1,5]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,2,7,6,4,1,5]=>([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,7)],8)
[2,1,8,7,6,4,3,5]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(6,2),(7,2)],8)
[2,1,8,7,6,4,5,3]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8)
[8,3,2,7,6,4,5,1]=>([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[8,7,4,3,6,2,5,1]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,6,5,2,4,3,1]=>([(5,6),(5,7)],8)
[8,5,4,2,3,7,6,1]=>([(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[8,7,4,2,6,5,3,1]=>([(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,7,4,2,6,3,5,1]=>([(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[8,7,4,2,6,3,1,5]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[8,3,1,7,6,4,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(7,4)],8)
[8,3,1,7,6,4,5,2]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[8,3,1,7,6,5,4,2]=>([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[8,3,1,5,4,7,6,2]=>([(1,6),(1,7),(2,3),(2,6),(2,7),(6,4),(6,5),(7,4),(7,5)],8)
[8,3,1,5,4,7,2,6]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,1,7,6,5,2,4]=>([(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,7)],8)
[8,3,1,7,6,2,5,4]=>([(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7)],8)
[8,7,4,2,6,1,5,3]=>([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7)],8)
[8,7,4,2,6,5,1,3]=>([(2,7),(3,5),(3,6),(4,5),(4,6),(4,7)],8)
[8,5,4,2,3,7,1,6]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[8,3,2,5,4,7,1,6]=>([(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,8,5,4,7,3,6]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(4,7),(5,2),(5,7),(6,2),(6,7)],8)
[8,3,2,7,6,5,1,4]=>([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[8,7,4,3,6,5,1,2]=>([(2,6),(2,7),(3,6),(3,7),(4,5)],8)
[8,7,6,5,3,1,4,2]=>([(4,7),(5,6),(5,7)],8)
[8,7,6,5,1,3,2,4]=>([(4,5),(4,6),(5,7),(6,7)],8)
[8,7,6,5,1,3,4,2]=>([(4,5),(4,6),(6,7)],8)
[8,7,6,5,1,4,3,2]=>([(4,5),(4,6),(4,7)],8)
[8,7,6,5,4,1,3,2]=>([(5,6),(5,7)],8)
[8,7,4,3,6,1,5,2]=>([(2,6),(2,7),(3,6),(3,7),(4,5),(4,7)],8)
[8,3,2,7,6,1,5,4]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[2,1,8,7,6,3,5,4]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(7,2),(7,3)],8)
[8,3,2,7,6,1,4,5]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[8,7,6,5,1,4,2,3]=>([(4,5),(4,6),(6,7)],8)
[8,7,6,5,1,2,4,3]=>([(4,5),(5,6),(5,7)],8)
[7,3,5,1,8,4,6,2]=>([(0,7),(1,4),(1,5),(2,3),(2,5),(2,7),(4,6),(4,7),(5,6)],8)
[7,3,4,1,8,5,6,2]=>([(0,7),(1,4),(2,3),(2,6),(2,7),(4,6),(4,7),(6,5)],8)
[4,5,6,2,1,8,7,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(4,6),(4,7)],8)
[1,6,5,2,7,4,3,8]=>([(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(5,6),(6,7)],8)
[7,4,3,1,8,6,5,2]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[7,6,5,1,8,4,3,2]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[7,6,4,1,8,5,3,2]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[6,4,2,1,8,7,5,3]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,6,4,2,7,5,3,8]=>([(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6),(5,7),(6,7)],8)
[1,5,3,2,7,6,4,8]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,3,2,1,8,7,6,4]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[2,5,3,1,7,8,6,4]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(3,6),(3,7),(4,5),(4,6),(4,7),(7,2)],8)
[2,6,4,1,7,8,5,3]=>([(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(2,7),(4,5),(4,7),(7,3)],8)
[2,6,5,1,7,8,4,3]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(2,7),(3,7),(7,4)],8)
[4,5,7,1,6,8,2,3]=>([(0,5),(1,4),(1,7),(3,6),(4,2),(5,3),(5,7),(7,6)],8)
[6,5,1,2,8,4,3,7]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[6,4,1,2,8,5,3,7]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
[5,3,1,2,8,6,4,7]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,5),(3,6),(3,7),(5,4),(7,4)],8)
[4,3,1,2,8,6,5,7]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[6,1,2,5,8,3,4,7]=>([(0,6),(0,7),(1,5),(2,7),(3,6),(3,7),(4,2),(5,3),(5,4)],8)
[7,1,3,4,8,2,5,6]=>([(0,6),(1,3),(1,5),(3,7),(4,6),(4,7),(5,4),(7,2)],8)
[7,1,5,6,8,2,3,4]=>([(0,7),(1,5),(1,6),(3,7),(4,2),(5,4),(6,3)],8)
[2,6,1,5,7,8,3,4]=>([(0,5),(0,7),(1,3),(1,5),(1,7),(3,6),(5,6),(6,4),(7,2)],8)
[7,4,1,6,8,5,2,3]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,7)],8)
[5,2,3,1,8,6,7,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)
[3,5,2,1,6,8,7,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(3,7),(7,4),(7,5)],8)
[1,6,2,5,7,3,4,8]=>([(0,3),(0,5),(1,7),(2,6),(3,6),(4,1),(5,2),(5,4),(6,7)],8)
[6,2,1,5,8,7,3,4]=>([(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(6,3),(7,4),(7,5)],8)
[7,3,1,5,8,6,2,4]=>([(0,6),(0,7),(1,5),(2,4),(2,6),(4,7),(6,3),(6,5)],8)
[6,2,4,1,8,5,7,3]=>([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(6,5)],8)
[6,2,5,1,8,4,7,3]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(3,7),(5,7)],8)
[7,3,1,4,8,6,2,5]=>([(0,6),(1,5),(2,4),(2,6),(4,7),(6,3),(6,5),(6,7)],8)
[6,2,1,4,8,7,3,5]=>([(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(6,3),(7,3),(7,4),(7,5)],8)
[1,6,2,4,7,3,5,8]=>([(0,3),(0,4),(1,5),(2,5),(2,6),(3,6),(4,1),(4,2),(5,7),(6,7)],8)
[5,2,1,3,8,7,4,6]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(3,6),(7,3),(7,4),(7,5)],8)
[7,4,1,3,8,5,2,6]=>([(0,7),(1,5),(1,7),(2,3),(2,4),(3,6),(4,5),(4,7),(5,6)],8)
[7,5,1,3,8,4,2,6]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(3,7),(4,5),(4,6),(5,7)],8)
[3,6,7,1,4,8,2,5]=>([(0,3),(0,7),(1,4),(1,7),(2,5),(3,6),(4,2),(7,5),(7,6)],8)
[7,6,1,4,8,3,2,5]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(5,7)],8)
[4,2,1,3,8,7,5,6]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(6,3),(7,4),(7,5),(7,6)],8)
[2,6,1,4,7,8,3,5]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(3,5),(5,2),(6,4),(7,4),(7,5)],8)
[7,1,4,6,8,2,3,5]=>([(0,7),(1,4),(1,5),(2,7),(3,6),(4,3),(5,2),(5,6)],8)
[7,1,3,5,8,2,4,6]=>([(0,7),(1,3),(1,4),(2,6),(2,7),(3,5),(4,2),(4,5),(5,6)],8)
[6,1,2,4,8,3,5,7]=>([(0,6),(0,7),(1,4),(2,5),(3,5),(3,6),(4,2),(4,3),(5,7)],8)
[5,2,3,1,6,4,8,7]=>([(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[7,4,5,2,3,1,8,6]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,7,3,5,2,4,1]=>([(2,7),(3,6),(4,5),(4,7)],8)
[7,3,5,2,4,1,8,6]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,5,2,4,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,4,1,6,3,8,7]=>([(0,7),(1,4),(1,7),(2,3),(2,4),(3,7),(4,5),(4,6),(7,5),(7,6)],8)
[4,1,6,3,5,2,8,7]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,4,1,5,2,8,7]=>([(0,6),(0,7),(1,4),(2,3),(2,5),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[5,2,6,3,4,1,8,7]=>([(0,6),(0,7),(1,5),(2,3),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,7,3,4,1,8,6]=>([(0,6),(0,7),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6),(4,7),(5,7)],8)
[5,2,8,6,7,3,4,1]=>([(1,6),(1,7),(2,4),(2,6),(2,7),(4,5),(7,3)],8)
[6,2,8,5,7,3,4,1]=>([(1,6),(1,7),(2,3),(2,4),(2,6),(3,7),(4,5)],8)
[6,2,7,3,4,1,8,5]=>([(0,6),(1,5),(1,7),(2,3),(2,6),(3,4),(4,5),(4,7),(6,7)],8)
[7,3,4,1,5,2,8,6]=>([(0,7),(1,4),(2,3),(2,5),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[4,1,7,3,5,2,8,6]=>([(0,2),(0,3),(0,5),(1,5),(1,6),(2,6),(3,4),(3,7),(5,7),(6,4),(6,7)],8)
[3,1,7,4,5,2,8,6]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,7),(3,4),(3,7),(5,7),(6,2)],8)
[2,1,7,4,5,3,8,6]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,7),(4,7),(5,2),(6,3),(6,7)],8)
[3,1,8,6,7,4,5,2]=>([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(6,4),(7,3)],8)
[4,1,8,6,7,3,5,2]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(4,5),(7,2)],8)
[8,6,7,3,4,1,5,2]=>([(1,4),(2,6),(3,5),(3,7),(6,7)],8)
[8,5,7,3,4,1,6,2]=>([(1,6),(2,5),(2,7),(3,4),(3,7),(6,7)],8)
[8,5,6,2,7,3,4,1]=>([(2,5),(3,4),(3,7),(4,6),(5,7)],8)
[8,4,7,3,5,1,6,2]=>([(1,6),(2,5),(2,7),(3,4),(3,6),(6,7)],8)
[5,1,8,4,7,3,6,2]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(3,7),(4,5),(4,7)],8)
[4,1,8,5,7,3,6,2]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(4,5),(7,2),(7,5)],8)
[3,1,8,5,7,4,6,2]=>([(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(6,4),(7,2),(7,4)],8)
[2,1,8,5,7,4,6,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2),(7,3)],8)
[2,1,7,4,6,3,8,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(4,7),(5,3),(5,7),(6,2),(6,3)],8)
[3,1,7,4,6,2,8,5]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,7),(3,4),(3,7),(5,7),(6,2),(6,4)],8)
[4,1,7,3,6,2,8,5]=>([(0,4),(0,5),(0,7),(1,2),(1,3),(1,4),(2,5),(2,7),(3,6),(3,7),(4,6),(5,6)],8)
[5,1,7,3,6,2,8,4]=>([(0,2),(0,3),(0,6),(1,4),(1,6),(2,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,7,3,5,1,8,4]=>([(0,6),(0,7),(1,5),(2,3),(2,5),(3,4),(3,6),(4,7),(5,7)],8)
[6,2,8,4,7,3,5,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7)],8)
[8,4,7,3,6,2,5,1]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,3,6,2,5,1,8,4]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[6,2,5,1,7,3,8,4]=>([(0,7),(1,6),(1,7),(2,4),(2,6),(4,7),(6,3),(6,5),(7,5)],8)
[5,2,4,1,7,3,8,6]=>([(0,6),(0,7),(1,4),(1,6),(2,3),(2,4),(3,6),(3,7),(4,5),(4,7),(6,5)],8)
[6,2,4,1,7,3,8,5]=>([(0,7),(1,4),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(7,5)],8)
[8,5,7,3,6,2,4,1]=>([(2,6),(3,6),(3,7),(4,5),(4,7)],8)
[8,5,7,4,6,2,3,1]=>([(2,7),(3,6),(4,5),(4,7)],8)
[7,4,6,2,3,1,8,5]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(4,7),(5,6),(5,7)],8)
[6,2,3,1,7,4,8,5]=>([(0,7),(1,6),(1,7),(2,4),(4,6),(4,7),(6,3),(6,5),(7,5)],8)
[5,2,3,1,7,4,8,6]=>([(0,6),(0,7),(1,4),(1,7),(2,3),(3,6),(3,7),(6,4),(6,5),(7,5)],8)
[4,2,3,1,7,5,8,6]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(4,6),(4,7),(6,5),(7,3),(7,5)],8)
[3,1,4,2,8,6,7,5]=>([(0,7),(1,3),(1,7),(3,4),(3,5),(3,6),(6,2),(7,4),(7,5),(7,6)],8)
[6,2,3,1,8,5,7,4]=>([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(3,5),(3,6),(3,7),(6,4)],8)
[8,5,6,2,3,1,7,4]=>([(1,6),(1,7),(2,4),(3,5),(4,7),(5,6),(5,7)],8)
[7,4,8,5,6,2,3,1]=>([(1,7),(2,4),(3,5),(3,7),(5,6)],8)
[7,3,8,5,6,2,4,1]=>([(1,7),(2,6),(3,4),(3,6),(3,7),(4,5)],8)
[8,5,6,2,4,1,7,3]=>([(1,6),(1,7),(2,5),(3,4),(3,6),(4,7),(5,7)],8)
[5,2,4,1,8,6,7,3]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(7,3)],8)
[4,1,5,2,8,6,7,3]=>([(0,6),(1,4),(1,6),(4,3),(4,5),(4,7),(6,5),(6,7),(7,2)],8)
[3,1,5,2,8,6,7,4]=>([(0,3),(0,7),(1,5),(1,7),(3,4),(3,5),(3,6),(6,2),(7,4),(7,6)],8)
[2,1,6,3,8,5,7,4]=>([(0,6),(0,7),(1,6),(1,7),(3,5),(6,2),(6,3),(6,4),(7,4),(7,5)],8)
[3,1,6,2,8,5,7,4]=>([(0,2),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(6,3),(7,3),(7,4)],8)
[4,1,6,2,8,5,7,3]=>([(0,3),(0,7),(1,6),(1,7),(3,2),(3,5),(3,6),(6,4),(7,4),(7,5)],8)
[5,1,6,2,8,4,7,3]=>([(0,7),(1,4),(1,7),(3,5),(4,2),(4,3),(4,6),(7,5),(7,6)],8)
[8,4,6,2,5,1,7,3]=>([(1,5),(1,7),(2,5),(2,6),(3,4),(3,6),(4,7),(6,7)],8)
[7,3,8,4,6,2,5,1]=>([(1,7),(2,6),(3,4),(3,6),(4,5),(4,7)],8)
[6,2,7,3,8,4,5,1]=>([(1,6),(2,3),(2,6),(3,5),(3,7),(5,4),(6,7)],8)
[8,4,5,1,6,2,7,3]=>([(1,4),(2,3),(2,6),(3,5),(3,7),(4,6),(6,7)],8)
[5,1,8,4,6,2,7,3]=>([(0,6),(0,7),(1,3),(1,4),(1,7),(3,6),(4,2),(4,5),(6,5)],8)
[4,1,8,5,6,2,7,3]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(3,5),(4,2),(4,5),(7,3)],8)
[3,1,8,5,6,2,7,4]=>([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(2,5),(3,4),(3,5),(7,2)],8)
[2,1,8,5,6,3,7,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(3,4),(6,3),(7,2),(7,4)],8)
[2,1,7,4,8,5,6,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(6,4),(7,2),(7,4)],8)
[3,1,7,4,8,5,6,2]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(4,2),(6,5),(7,4),(7,5)],8)
[4,1,7,3,8,5,6,2]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(4,5),(4,7),(6,5),(7,2)],8)
[7,3,8,4,5,1,6,2]=>([(0,6),(1,4),(1,6),(2,3),(2,7),(4,5),(5,7)],8)
[8,4,5,1,7,3,6,2]=>([(1,5),(2,3),(2,4),(2,6),(4,7),(5,6),(5,7)],8)
[7,3,6,2,8,4,5,1]=>([(1,7),(2,6),(2,7),(3,4),(3,6),(4,7),(6,5)],8)
[7,8,5,6,1,3,4,2]=>([(0,6),(1,5),(2,4),(2,7),(7,3)],8)
[7,8,1,3,6,2,5,4]=>([(0,4),(1,3),(1,5),(3,6),(3,7),(5,2),(5,6),(5,7)],8)
[1,3,8,4,7,2,5,6]=>([(0,4),(0,6),(4,7),(5,2),(5,7),(6,1),(6,5),(7,3)],8)
[3,6,1,4,7,2,5,8]=>([(0,3),(0,7),(1,2),(1,7),(2,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)
[4,6,1,2,5,7,3,8]=>([(0,3),(0,7),(1,4),(2,6),(3,5),(4,2),(4,7),(5,6),(7,5)],8)
[1,4,8,2,5,7,3,6]=>([(0,4),(0,5),(3,6),(4,2),(4,7),(5,3),(5,7),(7,1),(7,6)],8)
[7,8,2,4,5,6,1,3]=>([(0,7),(1,4),(2,6),(2,7),(5,3),(6,5)],8)
[7,8,1,5,4,6,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(4,7),(5,7)],8)
[7,8,2,1,6,3,4,5]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(4,5),(7,4)],8)
[7,8,3,5,6,4,1,2]=>([(0,6),(1,5),(2,4),(2,7),(7,3)],8)
[7,8,1,4,2,3,6,5]=>([(0,4),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(5,2)],8)
[7,8,5,1,4,2,6,3]=>([(0,7),(1,4),(2,5),(2,6),(5,7),(6,3),(6,7)],8)
[7,8,4,5,3,1,6,2]=>([(0,7),(1,4),(2,6),(3,5),(3,7),(6,7)],8)
[1,5,8,4,3,2,7,6]=>([(0,2),(0,3),(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,6),(5,7)],8)
[5,6,1,4,3,2,7,8]=>([(0,6),(1,2),(1,3),(1,4),(2,7),(3,7),(4,7),(6,7),(7,5)],8)
[2,6,4,8,3,7,1,5]=>([(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7)],8)
[1,4,6,8,3,7,5,2]=>([(0,2),(0,3),(0,5),(3,6),(3,7),(4,1),(4,7),(5,4),(5,6)],8)
[2,4,8,5,3,1,6,7]=>([(0,7),(1,4),(1,6),(3,7),(4,7),(6,2),(6,3),(7,5)],8)
[2,5,8,1,4,7,6,3]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(3,2),(3,4),(3,5),(7,4),(7,5)],8)
[3,5,8,4,7,6,1,2]=>([(0,4),(1,3),(1,5),(3,6),(3,7),(5,2),(5,6),(5,7)],8)
[1,6,2,4,7,3,8,5]=>([(0,3),(0,4),(1,5),(1,7),(2,5),(2,6),(3,6),(4,1),(4,2),(6,7)],8)
[5,6,2,1,4,7,8,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,7),(6,7),(7,4)],8)
[4,6,2,5,3,1,8,7]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,5,1,3,6,8,2]=>([(0,2),(0,4),(1,3),(1,5),(3,7),(4,6),(5,6),(6,7)],8)
[7,5,3,6,2,4,1,8]=>([(0,7),(1,7),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
[5,7,3,6,1,4,8,2]=>([(0,5),(0,6),(1,3),(1,5),(2,4),(2,6),(4,7),(5,7),(6,7)],8)
[5,3,6,7,2,1,8,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(3,6),(4,7),(5,4)],8)
[6,1,7,5,2,4,8,3]=>([(0,6),(1,4),(1,5),(1,6),(3,7),(4,7),(5,2),(5,3),(6,7)],8)
[6,3,1,2,4,5,8,7]=>([(0,7),(1,5),(1,6),(2,3),(3,7),(4,5),(4,6),(7,4)],8)
[1,4,7,2,5,3,8,6]=>([(0,3),(0,4),(1,7),(2,6),(2,7),(3,1),(3,5),(4,2),(4,5),(5,6),(5,7)],8)
[4,6,7,8,3,5,1,2]=>([(0,7),(1,4),(2,6),(2,7),(5,3),(6,5)],8)
[3,6,1,8,4,2,5,7]=>([(0,3),(0,7),(1,2),(1,5),(1,7),(2,6),(3,4),(3,5),(6,4),(7,6)],8)
[1,6,7,5,8,2,4,3]=>([(0,4),(0,5),(0,6),(3,7),(4,7),(5,3),(6,1),(6,2)],8)
[3,5,6,7,8,1,4,2]=>([(0,6),(0,7),(1,3),(1,7),(4,5),(5,2),(6,4)],8)
[3,6,5,7,8,2,1,4]=>([(0,7),(1,7),(2,3),(2,4),(2,7),(3,6),(4,6),(6,5)],8)
[5,2,7,6,1,4,3,8]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[2,5,7,6,8,1,3,4]=>([(0,7),(1,5),(1,7),(3,6),(4,6),(5,3),(5,4),(7,2)],8)
[2,7,5,6,8,4,1,3]=>([(0,7),(1,2),(1,4),(1,5),(1,7),(3,6),(4,6),(5,3)],8)
[2,1,6,8,4,5,3,7]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,7),(4,7),(5,3),(6,2),(6,7)],8)
[2,7,1,8,5,3,4,6]=>([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(2,5),(3,4),(6,2),(7,5)],8)
[3,7,6,8,5,4,1,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(4,7),(5,7)],8)
[4,3,8,5,6,7,1,2]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(4,5),(7,4)],8)
[4,2,8,1,6,3,7,5]=>([(0,6),(0,7),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4),(7,3)],8)
[3,1,8,5,4,6,7,2]=>([(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(4,2),(6,4),(7,4)],8)
[3,2,8,4,5,6,1,7]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(4,6),(7,3)],8)
[3,4,2,8,6,1,7,5]=>([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(3,5),(3,6),(3,7),(6,4)],8)
[3,4,7,1,5,2,6,8]=>([(0,3),(0,7),(1,4),(2,6),(3,5),(4,2),(4,7),(5,6),(7,5)],8)
[4,3,7,8,1,2,6,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,6),(3,7),(5,4)],8)
[1,7,3,8,5,2,6,4]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(3,7),(4,1),(4,6),(4,7)],8)
[4,1,8,3,6,2,5,7]=>([(0,2),(0,3),(0,5),(1,5),(1,6),(1,7),(2,7),(3,6),(3,7),(6,4),(7,4)],8)
[5,7,8,6,3,2,1,4]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(5,6)],8)
[5,7,8,6,1,3,4,2]=>([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8)
[7,6,5,8,1,3,4,2]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(5,6)],8)
[1,6,4,3,8,2,5,7]=>([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(7,5)],8)
[7,1,3,4,8,2,6,5]=>([(0,7),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(4,2)],8)
[3,6,5,4,1,2,7,8]=>([(0,6),(1,2),(1,3),(1,4),(2,7),(3,7),(4,7),(6,7),(7,5)],8)
[2,4,5,1,7,8,6,3]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(3,5),(3,7),(4,3),(7,2)],8)
[2,6,3,4,5,8,1,7]=>([(0,7),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(4,2),(5,4)],8)
[2,6,4,1,8,3,7,5]=>([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7)],8)
[7,3,6,4,8,5,1,2]=>([(0,7),(1,4),(2,5),(2,6),(5,7),(6,3),(6,7)],8)
[7,2,1,4,8,3,5,6]=>([(0,4),(1,6),(1,7),(2,6),(2,7),(5,3),(6,5),(7,4),(7,5)],8)
[7,1,6,5,3,8,4,2]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(4,7),(5,7),(6,2),(6,7)],8)
[7,2,5,6,3,8,1,4]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(4,7),(5,7)],8)
[6,5,2,7,1,8,4,3]=>([(0,7),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(7,6)],8)
[5,6,2,7,3,1,4,8]=>([(0,7),(1,3),(2,4),(2,6),(3,6),(4,7),(6,5),(7,5)],8)
[5,6,7,4,2,8,1,3]=>([(0,7),(1,6),(2,6),(2,7),(3,4),(4,5),(5,7)],8)
[5,7,6,4,1,8,3,2]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(5,7),(6,7)],8)
[6,7,1,5,2,8,3,4]=>([(0,4),(1,3),(1,6),(3,7),(4,7),(5,2),(6,5),(6,7)],8)
[1,7,5,2,4,8,3,6]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(2,7),(3,7),(4,6),(4,7),(5,1),(5,2)],8)
[6,1,5,2,8,3,4,7]=>([(0,6),(0,7),(1,3),(1,5),(2,6),(3,6),(3,7),(4,2),(5,4),(5,7)],8)
[6,7,5,3,8,4,1,2]=>([(0,7),(1,4),(2,6),(3,5),(3,7),(6,7)],8)
[1,6,5,4,2,3,8,7]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1)],8)
[7,1,5,3,4,2,8,6]=>([(0,7),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[7,6,1,5,3,2,8,4]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,6,4,1,2,8,3]=>([(0,7),(1,7),(2,4),(3,5),(4,7),(5,6),(5,7)],8)
[6,7,5,4,3,1,8,2]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,7),(6,7)],8)
[7,5,2,4,3,1,6,8]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[7,4,6,1,2,5,3,8]=>([(0,7),(1,4),(2,3),(2,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,1,4,2,5,3,6,8]=>([(0,7),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,7)],8)
[6,8,1,4,2,5,7,3]=>([(0,4),(0,7),(1,3),(1,5),(3,6),(5,2),(5,6),(6,7)],8)
[1,6,4,2,5,7,3,8]=>([(0,2),(0,3),(0,4),(1,6),(2,5),(3,7),(4,1),(4,5),(5,7),(7,6)],8)
[1,6,3,7,5,4,2,8]=>([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,6),(6,7)],8)
[6,8,1,3,7,5,4,2]=>([(0,5),(0,7),(1,4),(1,6),(6,2),(6,3),(6,7)],8)
[7,1,3,5,6,4,2,8]=>([(0,7),(1,4),(1,6),(2,7),(3,7),(4,7),(5,3),(6,2),(6,5)],8)
[7,3,1,6,4,5,2,8]=>([(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[7,4,2,6,5,1,3,8]=>([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[7,4,6,3,1,5,2,8]=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[7,2,4,1,5,3,6,8]=>([(0,4),(1,3),(1,7),(2,6),(2,7),(3,6),(5,4),(6,5),(7,5)],8)
[7,2,3,5,4,1,6,8]=>([(0,3),(1,7),(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[6,8,1,2,3,4,7,5]=>([(0,6),(1,3),(1,7),(4,5),(5,2),(5,7),(6,4)],8)
[1,5,7,2,3,8,6,4]=>([(0,4),(0,5),(2,7),(3,1),(3,6),(3,7),(4,3),(5,2),(5,6)],8)
[5,1,8,2,3,6,7,4]=>([(0,6),(0,7),(1,5),(1,6),(4,3),(4,7),(5,4),(7,2)],8)
[5,8,2,3,7,6,4,1]=>([(1,4),(2,3),(2,6),(2,7),(4,5),(4,6),(4,7)],8)
[6,2,8,1,3,7,4,5]=>([(0,7),(1,5),(1,7),(2,5),(2,6),(3,4),(7,3),(7,6)],8)
[6,8,2,3,5,4,7,1]=>([(1,6),(2,5),(2,7),(3,7),(4,7),(6,3),(6,4)],8)
[6,8,2,4,1,5,7,3]=>([(0,5),(0,7),(1,4),(1,5),(2,3),(2,6),(4,7),(7,6)],8)
[6,8,3,1,2,4,7,5]=>([(0,7),(1,4),(2,3),(2,6),(4,7),(7,5),(7,6)],8)
[2,6,4,1,5,7,3,8]=>([(0,2),(0,3),(0,7),(1,6),(1,7),(2,5),(3,6),(5,4),(6,5),(7,4)],8)
[2,6,3,5,7,1,4,8]=>([(0,7),(1,3),(1,4),(2,5),(3,5),(4,2),(4,7),(5,6),(7,6)],8)
[2,5,1,7,8,3,6,4]=>([(0,6),(0,7),(1,2),(1,7),(2,5),(2,6),(6,3),(7,4),(7,5)],8)
[2,5,3,6,8,4,7,1]=>([(1,3),(1,5),(3,7),(4,6),(5,4),(5,7),(7,2),(7,6)],8)
[2,1,4,7,8,5,6,3]=>([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(7,4),(7,5)],8)
[2,4,7,6,8,5,1,3]=>([(0,7),(1,5),(1,7),(3,6),(4,6),(5,2),(5,3),(5,4)],8)
[2,5,3,7,6,1,8,4]=>([(0,2),(0,3),(1,4),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[2,5,7,8,1,4,6,3]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(3,2),(4,3),(4,5),(7,5)],8)
[3,5,7,4,1,6,2,8]=>([(0,4),(0,7),(1,2),(1,5),(2,7),(3,6),(4,6),(5,3),(5,7),(7,6)],8)
[5,3,4,1,8,6,7,2]=>([(0,6),(0,7),(1,5),(2,3),(2,6),(2,7),(5,6),(5,7),(7,4)],8)
[5,2,8,4,6,1,7,3]=>([(0,4),(0,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,7),(7,4)],8)
[5,2,1,8,6,3,7,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(5,3),(5,4),(7,4)],8)
[4,2,8,6,5,3,7,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(5,7),(6,7)],8)
[4,2,8,5,7,6,3,1]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(7,3),(7,4)],8)
[1,4,2,7,5,8,6,3]=>([(0,3),(0,4),(3,5),(3,7),(4,2),(4,5),(4,7),(5,6),(7,1),(7,6)],8)
[4,1,8,6,7,5,3,2]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8)
[5,3,8,7,6,2,4,1]=>([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7)],8)
[5,8,4,7,6,2,1,3]=>([(0,5),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)
[5,8,7,4,3,6,1,2]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(3,7)],8)
[6,4,8,3,1,7,2,5]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,6)],8)
[6,4,2,8,7,1,3,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(3,4),(3,6),(3,7),(4,5)],8)
[6,3,8,7,2,5,1,4]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7)],8)
[5,8,3,7,1,6,4,2]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7)],8)
[5,1,3,8,6,7,2,4]=>([(0,6),(0,7),(1,3),(1,4),(3,5),(4,5),(4,6),(4,7),(7,2)],8)
[1,5,3,7,8,6,2,4]=>([(0,2),(0,3),(0,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,1)],8)
[1,5,7,6,4,2,8,3]=>([(0,4),(0,5),(0,6),(2,7),(3,7),(4,7),(5,1),(5,7),(6,2),(6,3)],8)
[5,8,7,4,1,6,2,3]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(6,3)],8)
[6,4,8,1,2,7,3,5]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(3,7),(4,6)],8)
[6,8,5,1,2,3,7,4]=>([(0,7),(1,6),(2,4),(2,7),(5,3),(5,7),(6,5)],8)
[6,8,5,2,4,3,7,1]=>([(1,7),(2,4),(2,7),(3,5),(3,6),(5,7),(6,7)],8)
[6,8,5,3,1,2,7,4]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,7),(5,6),(5,7)],8)
[4,5,1,2,7,6,3,8]=>([(0,3),(1,4),(2,7),(3,5),(3,6),(4,2),(4,5),(4,6),(5,7),(6,7)],8)
[4,5,1,2,6,8,7,3]=>([(0,5),(1,6),(5,7),(6,2),(6,7),(7,3),(7,4)],8)
[3,5,6,1,8,4,7,2]=>([(0,3),(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(4,2),(7,5)],8)
[3,5,7,1,2,8,6,4]=>([(0,3),(1,4),(1,7),(2,5),(3,5),(3,6),(3,7),(4,2),(4,6)],8)
[3,6,2,7,5,1,4,8]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(4,7),(5,7),(6,7)],8)
[4,2,6,1,7,3,5,8]=>([(0,5),(0,7),(1,4),(1,6),(2,6),(2,7),(4,3),(5,3),(6,5),(7,4)],8)
[4,6,3,1,2,7,5,8]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[4,5,3,1,7,6,2,8]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(2,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,2,5,7,1,6,3,8]=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,7),(4,7),(5,7),(6,3),(6,5)],8)
[3,5,2,7,8,1,6,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(3,5),(3,7),(5,4)],8)
[3,1,4,7,5,6,2,8]=>([(0,6),(1,3),(1,6),(2,7),(3,7),(4,7),(5,2),(6,4),(6,5)],8)
[3,4,6,5,8,7,1,2]=>([(0,4),(1,5),(2,6),(2,7),(3,6),(3,7),(5,2),(5,3)],8)
[3,1,4,5,8,6,7,2]=>([(0,7),(1,4),(1,7),(5,3),(6,2),(6,5),(7,6)],8)
[3,4,6,8,5,2,7,1]=>([(1,7),(2,6),(4,7),(5,3),(5,7),(6,4),(6,5)],8)
[3,5,6,2,8,4,7,1]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(4,6),(4,7),(5,7)],8)
[4,2,5,6,1,8,7,3]=>([(0,7),(1,4),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(7,3)],8)
[4,5,3,1,6,8,7,2]=>([(0,7),(1,6),(2,5),(2,7),(6,7),(7,3),(7,4)],8)
[2,1,7,5,8,6,4,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2),(7,3)],8)
[1,2,7,5,3,8,6,4]=>([(0,5),(2,7),(3,6),(3,7),(4,1),(4,6),(4,7),(5,2),(5,3),(5,4)],8)
[4,1,2,7,3,8,6,5]=>([(0,2),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(3,6),(7,4)],8)
[6,4,1,7,5,2,3,8]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,7),(5,7),(6,7)],8)
[6,1,3,7,5,2,4,8]=>([(0,6),(1,3),(1,4),(2,7),(3,5),(4,2),(4,5),(4,6),(5,7),(6,7)],8)
[3,1,2,6,8,5,4,7]=>([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,2),(6,7)],8)
[3,7,1,2,5,4,8,6]=>([(0,3),(1,2),(1,5),(1,6),(2,7),(3,5),(3,6),(5,4),(5,7),(6,4),(6,7)],8)
[1,3,7,2,4,8,6,5]=>([(0,4),(0,5),(3,6),(4,7),(5,3),(5,7),(7,1),(7,2),(7,6)],8)
[2,4,1,7,8,6,5,3]=>([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(3,4),(3,5),(3,6),(6,2)],8)
[3,4,7,5,1,8,6,2]=>([(0,5),(1,4),(1,6),(1,7),(2,7),(3,6),(3,7),(5,2),(5,3)],8)
[2,7,4,1,5,8,6,3]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(3,7),(4,5),(7,2),(7,5)],8)
[2,3,7,1,5,8,6,4]=>([(0,6),(0,7),(1,4),(3,5),(4,3),(4,6),(4,7),(7,2),(7,5)],8)
[5,2,8,1,3,7,4,6]=>([(0,7),(1,5),(1,7),(2,4),(2,5),(2,6),(3,6),(7,3),(7,4)],8)
[2,1,6,8,3,4,7,5]=>([(0,6),(0,7),(1,6),(1,7),(4,3),(4,5),(6,4),(7,2),(7,5)],8)
[2,6,8,3,1,5,7,4]=>([(0,6),(0,7),(1,3),(1,4),(3,6),(3,7),(4,2),(4,5),(7,5)],8)
[2,8,6,4,1,5,7,3]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(3,5),(4,6),(6,5)],8)
[3,6,4,8,5,1,7,2]=>([(0,4),(0,7),(1,3),(1,5),(2,7),(3,6),(3,7),(5,2),(5,6)],8)
[6,3,7,4,5,1,8,2]=>([(0,6),(1,3),(1,7),(2,4),(2,6),(4,5),(5,7),(6,7)],8)
[2,6,3,7,5,8,1,4]=>([(0,7),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(4,7),(5,6)],8)
[5,2,1,7,8,3,4,6]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(4,6),(5,4),(7,3)],8)
[4,7,2,3,6,8,1,5]=>([(0,7),(1,4),(2,3),(2,5),(2,7),(3,6),(4,5),(4,7),(5,6)],8)
[5,2,7,3,6,8,1,4]=>([(0,5),(1,3),(1,7),(2,6),(2,7),(3,5),(3,6),(6,4),(7,4)],8)
[5,7,4,6,2,8,1,3]=>([(0,5),(1,6),(2,5),(2,7),(3,4),(3,6),(4,7),(6,7)],8)
[5,7,3,4,6,1,8,2]=>([(0,5),(1,3),(1,7),(2,4),(2,6),(4,7),(5,6),(6,7)],8)
[5,3,8,4,6,1,7,2]=>([(0,5),(0,7),(1,4),(1,5),(2,3),(2,6),(4,7),(7,6)],8)
[8,5,2,4,1,6,7,3]=>([(1,7),(2,6),(2,7),(3,4),(3,6),(4,7),(7,5)],8)
[8,2,3,5,1,6,7,4]=>([(1,6),(1,7),(2,3),(3,5),(3,7),(5,6),(6,4)],8)
[4,2,8,3,6,7,1,5]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(6,3)],8)
[2,4,8,1,7,3,5,6]=>([(0,5),(0,6),(1,4),(1,6),(4,3),(4,5),(4,7),(6,7),(7,2)],8)
[8,4,1,3,6,2,5,7]=>([(1,6),(1,7),(2,3),(2,4),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[4,8,3,1,7,2,5,6]=>([(0,6),(0,7),(1,4),(1,6),(2,3),(2,6),(2,7),(4,7),(7,5)],8)
[5,2,8,4,7,1,6,3]=>([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7)],8)
[5,8,4,7,3,1,6,2]=>([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7)],8)
[4,6,8,3,1,7,5,2]=>([(0,6),(0,7),(1,4),(1,6),(2,3),(2,6),(2,7),(4,5),(4,7)],8)
[6,3,8,2,7,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[6,3,1,8,2,4,7,5]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,7),(3,6),(6,4),(6,5)],8)
[5,3,8,1,2,6,4,7]=>([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(3,6),(3,7),(6,5),(7,5)],8)
[5,7,4,1,6,2,3,8]=>([(0,6),(1,3),(1,6),(2,4),(2,6),(3,7),(4,5),(5,7),(6,7)],8)
[8,5,4,1,2,6,3,7]=>([(1,7),(2,7),(3,4),(4,5),(4,7),(5,6),(7,6)],8)
[5,1,8,4,2,7,3,6]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(2,6),(3,6),(3,7),(4,2),(4,7)],8)
[1,6,2,8,5,3,7,4]=>([(0,3),(0,5),(2,7),(3,6),(3,7),(4,1),(4,7),(5,2),(5,4),(5,6)],8)
[6,8,5,3,1,7,4,2]=>([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7)],8)
[8,4,5,1,2,6,3,7]=>([(1,3),(2,4),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[5,6,3,7,1,2,4,8]=>([(0,6),(0,7),(1,4),(2,3),(3,6),(4,7),(6,5),(7,5)],8)
[1,6,3,7,2,8,4,5]=>([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(4,5),(4,7),(5,6),(7,1)],8)
[6,3,2,7,8,5,1,4]=>([(0,7),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[4,5,7,8,3,1,6,2]=>([(0,7),(1,6),(2,4),(2,7),(5,3),(6,5),(6,7)],8)
[4,7,2,5,8,1,6,3]=>([(0,3),(0,7),(1,5),(1,6),(2,6),(2,7),(3,4),(7,4),(7,5)],8)
[8,1,3,4,6,2,5,7]=>([(1,3),(1,4),(2,7),(3,6),(4,5),(5,2),(5,6),(6,7)],8)
[3,8,2,4,6,7,1,5]=>([(0,7),(1,6),(2,3),(2,7),(4,5),(7,4),(7,6)],8)
[3,5,6,8,2,7,1,4]=>([(0,7),(1,3),(1,7),(2,6),(2,7),(3,5),(5,4),(5,6)],8)
[2,4,5,6,8,1,7,3]=>([(0,6),(0,7),(1,4),(1,7),(3,5),(4,3),(5,2),(5,6)],8)
[4,8,3,5,6,1,7,2]=>([(0,6),(1,3),(1,7),(2,4),(2,6),(5,7),(6,5)],8)
[5,6,2,3,7,8,1,4]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(5,7),(7,4)],8)
[5,8,7,3,4,1,2,6]=>([(0,6),(1,5),(2,3),(2,4),(2,7),(5,7),(6,7)],8)
[6,8,7,3,4,1,2,5]=>([(0,6),(1,5),(2,3),(2,4),(5,7),(6,7)],8)
[6,8,4,7,1,5,3,2]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6)],8)
[6,8,4,7,2,5,3,1]=>([(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8)
[5,4,8,7,2,6,3,1]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7)],8)
[5,4,8,7,1,6,3,2]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7)],8)
[5,3,8,7,6,1,2,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,7)],8)
[4,3,8,7,6,1,2,5]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(3,7)],8)
[4,8,3,7,5,1,2,6]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(2,6),(4,7),(6,7)],8)
[8,3,4,6,5,1,2,7]=>([(1,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[3,8,4,7,5,1,2,6]=>([(0,5),(1,3),(1,6),(4,7),(5,7),(6,2),(6,4)],8)
[3,4,8,7,6,1,2,5]=>([(0,5),(1,6),(5,7),(6,2),(6,3),(6,4),(6,7)],8)
[3,5,8,7,6,1,2,4]=>([(0,5),(1,6),(1,7),(5,7),(6,2),(6,3),(6,4)],8)
[4,5,8,7,6,1,2,3]=>([(0,7),(1,6),(6,5),(7,2),(7,3),(7,4)],8)
[4,5,8,7,1,6,3,2]=>([(0,6),(1,4),(1,5),(1,7),(6,2),(6,3),(6,7)],8)
[4,5,8,7,2,6,3,1]=>([(1,6),(2,5),(2,7),(6,3),(6,4),(6,7)],8)
[3,5,8,2,7,6,4,1]=>([(1,5),(1,6),(1,7),(2,3),(2,5),(3,4),(3,6),(3,7)],8)
[3,5,8,1,7,6,4,2]=>([(0,4),(0,7),(1,3),(1,5),(1,6),(1,7),(4,2),(4,5),(4,6)],8)
[2,5,8,1,7,6,4,3]=>([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(3,2),(3,4),(3,5)],8)
[2,5,8,7,1,6,3,4]=>([(0,6),(0,7),(1,5),(1,7),(5,3),(5,4),(5,6),(7,2)],8)
[2,4,8,7,1,6,3,5]=>([(0,6),(0,7),(1,4),(1,7),(4,2),(4,3),(4,5),(4,6),(7,5)],8)
[2,8,4,7,1,5,3,6]=>([(0,6),(0,7),(1,3),(1,4),(1,7),(4,2),(4,6),(6,5),(7,5)],8)
[8,2,4,6,1,5,3,7]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[8,1,4,6,2,5,3,7]=>([(1,4),(1,5),(2,7),(3,7),(4,3),(4,6),(5,2),(5,6),(6,7)],8)
[1,8,4,7,2,5,3,6]=>([(0,3),(0,4),(0,5),(2,7),(4,1),(4,6),(5,2),(5,6),(6,7)],8)
[1,4,8,7,2,6,3,5]=>([(0,4),(0,5),(3,6),(4,3),(4,7),(5,1),(5,2),(5,6),(5,7)],8)
[1,5,8,7,2,6,3,4]=>([(0,5),(0,6),(4,3),(5,4),(5,7),(6,1),(6,2),(6,7)],8)
[1,5,8,2,7,6,4,3]=>([(0,4),(0,5),(4,3),(4,6),(4,7),(5,1),(5,2),(5,6),(5,7)],8)
[2,5,8,3,7,6,4,1]=>([(1,4),(1,5),(4,3),(4,6),(4,7),(5,2),(5,6),(5,7)],8)
[1,4,2,8,7,6,5,3]=>([(0,2),(0,3),(2,4),(2,5),(2,6),(2,7),(3,1),(3,4),(3,5),(3,6),(3,7)],8)
[1,3,8,2,7,6,4,5]=>([(0,3),(0,4),(3,5),(3,6),(3,7),(4,2),(4,5),(4,6),(4,7),(7,1)],8)
[1,8,3,2,7,5,4,6]=>([(0,1),(0,2),(0,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[8,1,3,2,6,5,4,7]=>([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[8,2,3,1,6,5,4,7]=>([(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[2,8,3,1,7,5,4,6]=>([(0,2),(0,3),(1,5),(1,6),(1,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[2,3,8,1,7,6,4,5]=>([(0,5),(0,6),(0,7),(1,4),(4,3),(4,5),(4,6),(4,7),(7,2)],8)
[3,4,1,8,7,6,5,2]=>([(0,3),(1,2),(1,4),(1,5),(1,6),(1,7),(3,4),(3,5),(3,6),(3,7)],8)
[4,3,1,8,7,6,5,2]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[4,2,1,8,7,6,5,3]=>([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[3,8,2,1,7,5,4,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(6,4),(7,4)],8)
[8,3,2,1,6,5,4,7]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[8,4,2,6,1,5,3,7]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,2,8,7,1,6,3,5]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3)],8)
[5,2,8,7,1,6,3,4]=>([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3)],8)
[5,2,8,1,7,6,4,3]=>([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[5,3,8,1,7,6,4,2]=>([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7)],8)
[5,3,8,2,7,6,4,1]=>([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[6,8,3,2,7,5,4,1]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7)],8)
[6,8,3,1,7,5,4,2]=>([(0,5),(0,6),(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7)],8)
[6,8,2,1,7,5,4,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,7)],8)
[6,8,2,7,1,5,3,4]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(7,3)],8)
[6,8,7,2,1,4,3,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,7),(6,7)],8)
[8,5,6,1,2,4,3,7]=>([(1,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[5,8,7,1,2,4,3,6]=>([(0,6),(1,2),(1,3),(1,7),(4,7),(5,7),(6,4),(6,5)],8)
[6,8,1,2,7,5,4,3]=>([(0,6),(1,5),(1,7),(6,2),(6,3),(6,4),(6,7)],8)
[6,8,2,3,7,5,4,1]=>([(1,6),(2,5),(2,7),(6,3),(6,4),(6,7)],8)
[5,2,8,3,7,6,4,1]=>([(1,5),(1,6),(1,7),(2,3),(2,5),(3,4),(3,6),(3,7)],8)
[5,1,8,3,7,6,4,2]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(4,2),(4,5),(4,6)],8)
[5,1,8,7,2,6,3,4]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(3,2),(4,3),(4,5)],8)
[4,1,8,7,2,6,3,5]=>([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,5),(3,2),(3,4)],8)
[4,8,1,7,2,5,3,6]=>([(0,3),(0,6),(0,7),(1,4),(1,7),(2,5),(4,2),(4,6),(6,5)],8)
[8,4,1,6,2,5,3,7]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[8,3,1,2,6,5,4,7]=>([(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[3,8,1,2,7,5,4,6]=>([(0,3),(1,2),(1,5),(1,6),(1,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[3,1,8,2,7,6,4,5]=>([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(3,4),(3,5),(3,6),(6,2)],8)
[3,1,2,8,7,6,5,4]=>([(0,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[4,1,3,8,7,6,5,2]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(1,7),(3,4),(3,5),(3,6),(3,7)],8)
[3,1,4,8,7,6,5,2]=>([(0,7),(1,2),(1,7),(7,3),(7,4),(7,5),(7,6)],8)
[2,1,8,3,7,6,4,5]=>([(0,6),(0,7),(1,6),(1,7),(5,4),(7,2),(7,3),(7,5)],8)
[2,8,1,3,7,5,4,6]=>([(0,7),(1,3),(1,7),(4,6),(5,6),(7,2),(7,4),(7,5)],8)
[8,2,1,3,6,5,4,7]=>([(1,6),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4),(6,5)],8)
[8,1,2,3,6,5,4,7]=>([(1,5),(2,7),(3,7),(4,7),(5,6),(6,2),(6,3),(6,4)],8)
[1,8,2,3,7,5,4,6]=>([(0,4),(0,5),(2,7),(3,7),(5,6),(6,1),(6,2),(6,3)],8)
[1,2,8,3,7,6,4,5]=>([(0,6),(5,4),(6,3),(6,7),(7,1),(7,2),(7,5)],8)
[1,4,3,6,8,2,5,7]=>([(0,2),(0,3),(0,4),(2,7),(3,6),(3,7),(4,6),(4,7),(6,1),(6,5),(7,5)],8)
[3,1,6,2,5,8,4,7]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(4,7),(5,3),(5,7),(6,3),(6,7)],8)
[3,5,1,8,2,4,7,6]=>([(0,3),(0,7),(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(7,4),(7,5)],8)
[1,4,5,2,8,3,7,6]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,2),(4,1),(4,7)],8)
[1,4,2,6,5,8,3,7]=>([(0,2),(0,3),(1,7),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,4,2,6,8,3,7]=>([(0,3),(0,4),(0,5),(2,6),(3,7),(4,7),(5,2),(5,7),(7,1),(7,6)],8)
[3,1,6,5,8,2,4,7]=>([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(4,7),(5,3),(5,7),(6,3),(6,7)],8)
[1,6,4,2,5,8,3,7]=>([(0,2),(0,3),(0,4),(1,7),(2,6),(2,7),(3,5),(4,1),(4,5),(5,6),(5,7)],8)
[1,5,2,6,4,8,3,7]=>([(0,3),(0,4),(1,7),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,6),(5,7)],8)
[1,2,6,5,4,8,3,7]=>([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,3),(5,4)],8)
[1,2,5,4,7,3,8,6]=>([(0,4),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,1),(4,2),(4,3),(5,6)],8)
[4,1,2,6,3,8,7,5]=>([(0,2),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(3,6),(7,4),(7,5)],8)
[7,1,5,4,2,8,3,6]=>([(0,7),(1,3),(1,4),(1,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,2),(5,7)],8)
[1,4,7,5,2,8,3,6]=>([(0,4),(0,5),(1,7),(2,6),(3,6),(3,7),(4,2),(4,7),(5,1),(5,3)],8)
[7,1,3,5,2,8,4,6]=>([(0,7),(1,3),(1,4),(2,6),(2,7),(3,5),(3,7),(4,2),(4,5),(5,6)],8)
[7,2,5,1,8,3,4,6]=>([(0,7),(1,5),(1,7),(2,3),(2,5),(3,6),(3,7),(4,6),(5,4)],8)
[1,4,5,2,8,7,3,6]=>([(0,3),(0,4),(1,5),(2,5),(2,6),(2,7),(3,2),(4,1),(4,6),(4,7)],8)
[1,6,4,2,8,3,7,5]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,7)],8)
[1,4,2,8,3,7,6,5]=>([(0,1),(0,3),(1,2),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7)],8)
[1,2,5,3,8,7,6,4]=>([(0,4),(2,5),(2,6),(2,7),(3,1),(3,5),(3,6),(3,7),(4,2),(4,3)],8)
[1,2,8,6,5,3,7,4]=>([(0,6),(3,7),(4,7),(5,2),(5,7),(6,1),(6,3),(6,4),(6,5)],8)
[1,5,2,8,6,3,7,4]=>([(0,2),(0,4),(2,5),(2,6),(3,1),(3,7),(4,3),(4,5),(4,6),(6,7)],8)
[1,6,4,2,8,7,3,5]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,6),(4,7)],8)
[6,2,1,8,7,3,4,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(5,3)],8)
[7,6,2,1,8,3,4,5]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(6,4)],8)
[7,3,1,6,2,8,4,5]=>([(0,7),(1,5),(1,6),(2,4),(2,5),(4,6),(4,7),(5,7),(6,3)],8)
[1,7,6,4,2,8,3,5]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,6),(4,7),(5,1),(5,7)],8)
[1,7,5,2,6,3,8,4]=>([(0,2),(0,3),(0,5),(2,7),(3,6),(4,1),(4,7),(5,4),(5,6),(6,7)],8)
[1,6,2,7,5,3,8,4]=>([(0,3),(0,5),(2,7),(3,6),(4,1),(4,7),(5,2),(5,4),(5,6),(6,7)],8)
[1,2,7,6,5,3,8,4]=>([(0,6),(2,7),(3,7),(4,7),(5,1),(5,7),(6,2),(6,3),(6,4),(6,5)],8)
[1,2,6,5,3,8,7,4]=>([(0,5),(2,6),(2,7),(3,6),(3,7),(4,1),(4,6),(4,7),(5,2),(5,3),(5,4)],8)
[1,5,2,6,3,8,7,4]=>([(0,2),(0,4),(2,5),(3,1),(3,6),(3,7),(4,3),(4,5),(5,6),(5,7)],8)
[1,5,2,7,6,3,8,4]=>([(0,2),(0,4),(2,5),(2,6),(3,1),(3,7),(4,3),(4,5),(4,6),(5,7),(6,7)],8)
[1,6,5,2,7,3,8,4]=>([(0,2),(0,3),(0,5),(2,7),(3,7),(4,1),(4,6),(5,4),(5,7),(7,6)],8)
[1,5,7,4,2,8,3,6]=>([(0,3),(0,4),(0,5),(1,7),(2,6),(3,6),(3,7),(4,2),(4,7),(5,1),(5,6)],8)
[4,1,2,8,6,3,7,5]=>([(0,3),(1,4),(1,6),(1,7),(2,5),(2,6),(3,2),(3,4),(3,7),(7,5)],8)
[3,1,8,6,2,4,7,5]=>([(0,3),(0,5),(0,7),(1,5),(1,6),(1,7),(3,6),(6,2),(6,4),(7,4)],8)
[4,3,7,1,8,2,5,6]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,6),(3,7),(5,6),(7,4)],8)
[8,3,1,6,2,4,7,5]=>([(1,5),(1,7),(2,3),(2,5),(3,7),(5,6),(7,4),(7,6)],8)
[7,1,8,3,2,4,6,5]=>([(0,6),(1,4),(1,5),(1,6),(4,7),(5,7),(7,2),(7,3)],8)
[1,8,7,3,2,4,6,5]=>([(0,3),(0,4),(0,5),(0,6),(5,7),(6,7),(7,1),(7,2)],8)
[1,4,2,8,7,3,6,5]=>([(0,2),(0,3),(1,6),(1,7),(2,1),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7)],8)
[1,7,4,2,8,3,6,5]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,7)],8)
[8,1,5,4,2,7,3,6]=>([(1,3),(1,4),(1,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,2),(5,7)],8)
[1,4,8,5,2,7,3,6]=>([(0,4),(0,5),(2,6),(3,6),(3,7),(4,2),(4,7),(5,1),(5,3)],8)
[8,5,3,1,7,2,4,6]=>([(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(6,5)],8)
[8,6,2,1,7,3,4,5]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(6,4)],8)
[1,8,6,4,2,7,3,5]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,7),(4,6),(4,7),(5,1),(5,7)],8)
[1,8,5,2,6,3,7,4]=>([(0,2),(0,3),(0,5),(3,6),(4,1),(4,7),(5,4),(5,6),(6,7)],8)
[1,5,2,7,3,8,6,4]=>([(0,2),(0,4),(2,5),(2,6),(3,1),(3,6),(3,7),(4,3),(4,5),(5,7)],8)
[1,2,8,5,3,7,6,4]=>([(0,5),(3,6),(3,7),(4,2),(4,6),(4,7),(5,1),(5,3),(5,4)],8)
[1,2,6,3,8,7,5,4]=>([(0,5),(3,6),(3,7),(4,1),(4,2),(4,6),(4,7),(5,3),(5,4)],8)
[1,2,7,6,3,8,5,4]=>([(0,6),(3,7),(4,7),(5,1),(5,2),(5,7),(6,3),(6,4),(6,5)],8)
[1,6,2,7,3,8,5,4]=>([(0,3),(0,4),(3,6),(4,5),(4,6),(5,1),(5,2),(5,7),(6,7)],8)
[1,7,2,8,5,3,6,4]=>([(0,3),(0,5),(2,7),(3,6),(4,1),(4,7),(5,2),(5,4),(5,6)],8)
[1,7,4,2,8,6,3,5]=>([(0,2),(0,3),(0,4),(1,5),(2,7),(3,5),(3,6),(3,7),(4,1),(4,6),(4,7)],8)
[7,1,8,3,2,6,4,5]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(3,7),(4,5),(4,7),(7,2)],8)
[7,2,1,8,6,3,4,5]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(6,3)],8)
[1,8,7,3,2,6,4,5]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(4,7),(5,6),(5,7),(7,1)],8)
[1,4,2,8,7,6,3,5]=>([(0,2),(0,3),(1,7),(2,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7)],8)
[1,2,8,7,5,3,6,4]=>([(0,6),(4,7),(5,3),(5,7),(6,1),(6,2),(6,4),(6,5)],8)
[1,2,8,6,3,7,5,4]=>([(0,6),(4,7),(5,2),(5,3),(5,7),(6,1),(6,4),(6,5)],8)
[1,2,7,3,8,6,5,4]=>([(0,5),(4,7),(5,4),(5,6),(6,1),(6,2),(6,3),(6,7)],8)
[4,1,7,3,6,5,8,2]=>([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[5,1,8,7,6,2,4,3]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(4,2),(4,3)],8)
[8,1,7,6,3,4,5,2]=>([(1,3),(1,4),(1,5),(1,7),(6,2),(7,6)],8)
[5,7,8,6,2,4,1,3]=>([(0,7),(1,5),(1,7),(2,4),(2,6),(6,3)],8)
[5,7,1,6,2,4,3,8]=>([(0,4),(0,6),(1,5),(1,6),(2,7),(3,7),(4,7),(5,2),(5,3),(6,7)],8)
[6,4,1,5,2,7,3,8]=>([(0,7),(1,5),(2,3),(2,5),(3,4),(3,7),(4,6),(5,7),(7,6)],8)
[8,1,4,5,3,7,6,2]=>([(1,2),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3)],8)
[6,1,4,5,3,8,7,2]=>([(0,6),(0,7),(1,2),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3)],8)
[6,1,4,5,3,7,8,2]=>([(0,7),(1,2),(1,4),(1,6),(3,7),(4,7),(6,3),(7,5)],8)
[5,1,7,8,6,2,4,3]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(5,3),(5,4),(7,2)],8)
[6,1,4,8,3,5,7,2]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(3,5),(4,5),(4,6),(5,7)],8)
[7,1,8,6,3,4,5,2]=>([(0,7),(1,3),(1,4),(1,6),(1,7),(5,2),(6,5)],8)
[7,1,4,5,3,8,6,2]=>([(0,7),(1,2),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3)],8)
[7,1,4,5,3,6,8,2]=>([(0,7),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3),(6,7)],8)
[8,1,4,5,3,6,7,2]=>([(1,2),(1,4),(1,6),(3,7),(4,7),(6,3),(7,5)],8)
[7,4,1,5,2,6,3,8]=>([(0,7),(1,5),(2,3),(2,5),(3,4),(3,6),(4,7),(5,6),(6,7)],8)
[6,3,5,7,2,1,4,8]=>([(0,6),(1,7),(2,7),(3,4),(3,7),(4,6),(6,5),(7,5)],8)
[6,3,5,8,2,1,7,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,5),(4,7)],8)
[6,3,5,7,2,1,8,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(4,5),(5,7)],8)
[8,4,5,7,3,6,1,2]=>([(1,7),(2,4),(3,5),(5,6),(5,7)],8)
[6,4,5,8,3,7,2,1]=>([(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[5,8,7,6,2,4,1,3]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5)],8)
[5,4,8,6,3,1,7,2]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(6,7)],8)
[5,4,1,8,2,3,7,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(3,4),(4,6),(4,7)],8)
[5,8,1,6,2,4,3,7]=>([(0,4),(0,6),(1,5),(1,6),(2,7),(3,7),(5,2),(5,3),(6,7)],8)
[8,4,1,5,2,6,3,7]=>([(1,5),(2,3),(2,5),(3,4),(3,7),(4,6),(5,7),(7,6)],8)
[6,3,5,8,2,1,4,7]=>([(0,6),(1,6),(2,5),(2,7),(3,4),(3,6),(4,5),(4,7),(6,7)],8)
[2,3,4,1,8,6,5,7]=>([(0,2),(1,5),(1,6),(1,7),(2,3),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[8,3,5,6,2,1,4,7]=>([(1,7),(2,7),(3,4),(3,7),(4,5),(5,6),(7,6)],8)
[2,3,8,5,1,4,7,6]=>([(0,7),(1,4),(3,5),(3,6),(4,2),(4,3),(4,7),(7,5),(7,6)],8)
[2,3,8,6,1,5,7,4]=>([(0,6),(0,7),(1,4),(3,5),(4,2),(4,3),(4,6),(4,7),(7,5)],8)
[2,8,6,7,1,3,5,4]=>([(0,7),(1,3),(1,6),(1,7),(6,2),(7,4),(7,5)],8)
[8,3,5,7,2,1,6,4]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7)],8)
[2,3,8,5,6,1,7,4]=>([(0,6),(0,7),(1,5),(3,6),(4,3),(5,2),(5,4),(5,7)],8)
[7,4,5,6,3,1,8,2]=>([(0,7),(1,7),(2,5),(3,4),(3,7),(5,6),(6,7)],8)
[8,4,5,6,3,1,7,2]=>([(1,7),(2,5),(3,4),(3,7),(5,6),(6,7)],8)
[7,3,5,6,2,8,1,4]=>([(0,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(5,7)],8)
[7,3,5,8,2,1,6,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(4,5),(4,7)],8)
[7,3,5,6,2,1,4,8]=>([(0,7),(1,6),(2,6),(3,4),(3,6),(4,5),(5,7),(6,7)],8)
[2,7,6,5,1,3,4,8]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(5,7),(6,5)],8)
[2,7,6,8,1,3,5,4]=>([(0,7),(1,4),(1,5),(1,7),(4,6),(5,6),(7,2),(7,3)],8)
[2,7,6,5,8,3,1,4]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,7),(5,6)],8)
[8,7,5,6,1,4,2,3]=>([(2,5),(3,4),(3,6),(6,7)],8)
[2,6,4,1,8,5,7,3]=>([(0,2),(0,3),(0,5),(1,5),(1,6),(1,7),(2,4),(2,7),(3,6),(3,7),(6,4)],8)
[2,6,1,3,8,5,7,4]=>([(0,7),(1,4),(1,7),(3,5),(4,5),(4,6),(7,2),(7,3),(7,6)],8)
[2,7,1,3,6,5,8,4]=>([(0,6),(1,2),(1,6),(2,7),(4,7),(5,7),(6,3),(6,4),(6,5)],8)
[2,7,6,8,4,3,1,5]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(5,6)],8)
[2,7,6,1,8,3,4,5]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(3,7),(4,7),(5,2),(6,5)],8)
[2,7,6,1,4,3,5,8]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,7),(3,7),(4,7),(5,4),(6,4)],8)
[7,3,5,1,2,8,4,6]=>([(0,7),(1,4),(2,3),(2,5),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
[8,4,1,5,2,3,7,6]=>([(1,5),(2,3),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,6,3,4,2,5]=>([(0,5),(1,2),(1,4),(1,6),(3,7),(4,7),(6,3)],8)
[6,4,1,8,3,2,7,5]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[2,3,8,6,4,1,7,5]=>([(0,6),(0,7),(1,5),(3,7),(4,6),(4,7),(5,2),(5,3),(5,4)],8)
[2,8,6,7,4,3,1,5]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(4,7),(5,7),(6,2)],8)
[8,3,5,7,2,4,1,6]=>([(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(6,7)],8)
[2,3,4,1,8,7,5,6]=>([(0,5),(0,6),(0,7),(1,4),(3,5),(3,6),(3,7),(4,3),(7,2)],8)
[2,8,6,1,7,3,4,5]=>([(0,6),(0,7),(1,3),(1,4),(1,7),(4,6),(5,2),(7,5)],8)
[2,3,8,1,6,4,7,5]=>([(0,6),(0,7),(1,4),(4,3),(4,6),(4,7),(6,5),(7,2),(7,5)],8)
[2,3,8,1,4,5,7,6]=>([(0,7),(1,5),(5,4),(5,7),(6,2),(6,3),(7,6)],8)
[2,8,6,1,4,3,5,7]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(3,4),(5,4),(6,5),(7,5)],8)
[8,4,3,6,5,1,7,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(5,7),(6,7)],8)
[8,5,6,3,4,1,7,2]=>([(1,6),(2,5),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,5,4,3,1,7,2]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7)],8)
[1,7,6,5,4,2,3,8]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1)],8)
[1,8,6,5,2,7,3,4]=>([(0,2),(0,3),(0,4),(0,6),(3,7),(4,7),(5,1),(6,5),(6,7)],8)
[8,7,5,4,1,6,3,2]=>([(2,7),(3,7),(4,5),(4,6),(4,7)],8)
[7,8,5,4,1,3,6,2]=>([(0,7),(1,7),(2,5),(3,4),(3,6),(6,7)],8)
[6,8,5,4,2,1,7,3]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7)],8)
[5,8,6,2,4,1,7,3]=>([(0,6),(0,7),(1,5),(1,6),(2,3),(2,4),(4,7),(5,7)],8)
[4,8,2,6,5,1,7,3]=>([(0,4),(0,7),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(5,7),(6,7)],8)
[3,2,8,6,5,1,7,4]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[3,2,1,7,6,4,5,8]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(5,3),(6,4),(7,4)],8)
[4,1,3,7,6,2,5,8]=>([(0,4),(0,5),(0,7),(1,2),(1,3),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(7,6)],8)
[5,1,7,3,6,2,4,8]=>([(0,2),(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[6,1,7,5,3,2,4,8]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(2,7),(3,5),(4,5),(5,7),(6,7)],8)
[7,1,6,5,2,4,3,8]=>([(0,7),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2),(6,3)],8)
[8,1,6,5,2,3,7,4]=>([(1,3),(1,4),(1,5),(3,7),(4,7),(5,6),(6,2),(6,7)],8)
[1,2,7,6,3,4,5,8]=>([(0,6),(1,7),(2,7),(3,7),(4,5),(5,3),(6,1),(6,2),(6,4)],8)
[1,2,8,3,7,4,5,6]=>([(0,7),(4,5),(5,3),(6,2),(6,4),(7,1),(7,6)],8)
[8,1,7,2,6,3,5,4]=>([(1,5),(1,7),(6,3),(6,4),(7,2),(7,6)],8)
[7,1,8,2,6,4,3,5]=>([(0,7),(1,5),(1,7),(3,6),(4,6),(5,2),(5,3),(5,4)],8)
[6,1,8,2,4,7,3,5]=>([(0,6),(0,7),(1,4),(1,7),(2,5),(3,5),(3,6),(4,2),(4,3)],8)
[5,1,8,3,2,7,4,6]=>([(0,2),(0,3),(0,5),(1,4),(1,5),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4)],8)
[4,1,3,8,2,7,5,6]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(3,6),(3,7),(4,5),(4,6),(4,7),(7,2)],8)
[3,2,1,8,4,7,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(4,5),(7,3),(7,4)],8)
[3,2,8,7,1,6,5,4]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[4,8,2,7,1,6,5,3]=>([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7)],8)
[5,8,7,2,1,6,4,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7)],8)
[6,8,7,1,3,5,4,2]=>([(0,4),(0,5),(1,6),(1,7),(7,2),(7,3)],8)
[7,8,6,1,5,3,4,2]=>([(1,6),(2,4),(2,5),(2,7),(7,3)],8)
[8,7,6,1,5,4,3,2]=>([(3,4),(3,5),(3,6),(3,7)],8)
[1,8,7,2,6,5,3,4]=>([(0,4),(0,5),(0,7),(6,3),(7,1),(7,2),(7,6)],8)
[1,7,8,2,5,6,3,4]=>([(0,6),(0,7),(4,3),(5,2),(6,1),(7,4),(7,5)],8)
[8,6,7,1,4,5,3,2]=>([(1,6),(2,4),(2,5),(2,7),(7,3)],8)
[7,6,8,1,4,3,5,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(4,7),(5,7)],8)
[6,5,8,3,2,1,7,4]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7)],8)
[7,5,8,3,1,4,6,2]=>([(0,5),(1,6),(2,5),(2,7),(3,4),(3,6),(6,7)],8)
[8,5,7,3,1,6,4,2]=>([(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7)],8)
[1,6,8,4,2,7,3,5]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(3,7),(4,1),(4,7),(5,2),(5,7)],8)
[1,5,4,8,2,7,3,6]=>([(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,7)],8)
[8,4,3,7,1,6,5,2]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)
[7,4,3,8,1,5,6,2]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(7,4)],8)
[6,4,3,1,5,2,7,8]=>([(0,7),(1,6),(2,6),(3,4),(3,6),(4,7),(6,7),(7,5)],8)
[7,4,3,1,2,6,5,8]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5),(7,5)],8)
[8,4,3,1,2,5,7,6]=>([(1,7),(2,7),(3,4),(4,7),(7,5),(7,6)],8)
[1,5,4,2,3,6,7,8]=>([(0,3),(0,4),(0,6),(2,7),(3,7),(4,7),(5,1),(6,2),(7,5)],8)
[8,5,1,4,2,3,7,6]=>([(1,6),(1,7),(2,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,1,4,2,6,3,8]=>([(0,7),(1,6),(2,3),(2,4),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[6,5,1,4,3,2,7,8]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(7,6)],8)
[5,6,1,3,4,2,7,8]=>([(0,5),(1,3),(1,6),(2,7),(3,7),(5,7),(6,2),(7,4)],8)
[4,6,2,1,5,3,7,8]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,7),(5,7),(6,7),(7,4)],8)
[3,2,6,1,5,4,7,8]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7),(7,3)],8)
[3,2,7,1,4,6,5,8]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[4,7,2,1,3,6,5,8]=>([(0,4),(1,4),(2,3),(2,5),(2,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,7,1,3,2,6,4,8]=>([(0,4),(0,7),(1,2),(1,3),(2,5),(2,7),(3,5),(3,7),(4,6),(5,6),(7,6)],8)
[6,7,1,2,4,5,3,8]=>([(0,4),(1,6),(2,7),(3,7),(4,7),(5,3),(6,2),(6,5)],8)
[7,6,1,2,5,4,3,8]=>([(0,7),(1,7),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4),(6,5)],8)
[8,6,1,2,5,3,7,4]=>([(1,7),(2,6),(4,7),(5,3),(5,7),(6,4),(6,5)],8)
[1,7,2,3,6,4,5,8]=>([(0,3),(0,5),(1,7),(2,7),(3,7),(4,2),(5,6),(6,1),(6,4)],8)
[8,7,1,2,3,6,5,4]=>([(2,6),(6,7),(7,3),(7,4),(7,5)],8)
[7,8,1,2,3,5,6,4]=>([(0,6),(1,4),(5,3),(6,7),(7,2),(7,5)],8)
[6,8,1,2,4,3,7,5]=>([(0,5),(1,4),(1,7),(2,6),(2,7),(3,6),(3,7),(5,2),(5,3)],8)
[5,8,1,3,2,4,7,6]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(2,5),(3,5),(5,6),(5,7)],8)
[4,8,2,1,3,5,7,6]=>([(0,6),(1,6),(2,5),(2,7),(6,7),(7,3),(7,4)],8)
[3,2,8,1,4,5,7,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(7,3)],8)
[4,1,3,2,5,6,7,8]=>([(0,7),(1,3),(1,4),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[5,1,2,4,3,6,7,8]=>([(0,7),(1,6),(3,7),(4,7),(5,2),(6,3),(6,4),(7,5)],8)
[6,1,2,3,5,4,7,8]=>([(0,7),(1,5),(2,7),(3,7),(5,6),(6,2),(6,3),(7,4)],8)
[7,1,2,3,4,6,5,8]=>([(0,7),(1,5),(2,7),(3,7),(4,6),(5,4),(6,2),(6,3)],8)
[8,1,2,3,4,5,7,6]=>([(1,6),(4,5),(5,7),(6,4),(7,2),(7,3)],8)
[6,7,3,8,5,1,2,4]=>([(0,5),(1,4),(2,3),(2,6),(2,7),(4,6),(5,7)],8)
[6,7,4,5,1,8,3,2]=>([(0,6),(1,5),(2,3),(2,4),(2,7),(5,7),(6,7)],8)
[5,4,7,6,8,1,2,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,7),(6,7)],8)
[5,3,7,8,6,1,2,4]=>([(0,5),(0,6),(1,5),(1,6),(1,7),(2,4),(4,7),(6,3)],8)
[3,8,4,5,7,1,2,6]=>([(0,4),(1,3),(1,5),(4,7),(5,6),(6,2),(6,7)],8)
[3,4,8,6,7,1,2,5]=>([(0,4),(1,6),(4,7),(5,3),(6,2),(6,5),(6,7)],8)
[4,5,6,7,1,8,3,2]=>([(0,6),(1,2),(1,3),(1,7),(4,7),(5,4),(6,5)],8)
[3,5,6,2,7,4,8,1]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(4,6),(5,7),(6,7)],8)
[3,5,6,1,7,8,4,2]=>([(0,4),(0,6),(0,7),(1,5),(1,6),(3,7),(5,3),(7,2)],8)
[2,5,6,1,8,7,4,3]=>([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(3,4),(3,5)],8)
[2,5,6,8,1,7,3,4]=>([(0,6),(0,7),(1,4),(1,7),(4,5),(5,2),(5,6),(7,3)],8)
[8,2,4,5,1,6,3,7]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(4,6),(5,7),(6,7)],8)
[1,4,8,6,2,3,7,5]=>([(0,4),(0,5),(2,6),(3,6),(3,7),(4,3),(5,1),(5,2),(5,7)],8)
[1,5,6,8,2,3,7,4]=>([(0,5),(0,6),(3,2),(3,7),(4,1),(4,7),(5,3),(6,4)],8)
[1,5,6,2,8,4,7,3]=>([(0,4),(0,5),(2,6),(3,6),(3,7),(4,3),(5,1),(5,2),(5,7)],8)
[2,5,6,3,4,7,8,1]=>([(1,5),(1,6),(2,7),(3,7),(5,3),(6,2),(7,4)],8)
[1,4,2,6,8,5,7,3]=>([(0,3),(0,4),(3,5),(3,7),(4,2),(4,5),(4,7),(5,6),(7,1),(7,6)],8)
[8,1,3,2,5,4,6,7]=>([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7),(7,2)],8)
[8,2,3,1,5,6,4,7]=>([(1,5),(1,7),(2,4),(3,6),(4,5),(4,7),(5,6),(7,3)],8)
[2,8,3,1,5,7,4,6]=>([(0,6),(0,7),(1,3),(1,4),(4,6),(4,7),(6,5),(7,2),(7,5)],8)
[2,4,1,6,8,7,5,3]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(4,5),(4,7),(7,2),(7,3)],8)
[3,4,1,6,7,8,5,2]=>([(0,4),(1,3),(1,6),(1,7),(4,6),(4,7),(5,2),(7,5)],8)
[4,3,1,7,6,8,5,2]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(6,4),(7,4)],8)
[5,2,7,8,1,6,3,4]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(5,3),(6,4)],8)
[5,3,7,2,6,4,8,1]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[6,7,3,1,5,8,4,2]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(2,6),(4,7),(6,7)],8)
[6,7,2,1,8,5,4,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(3,7)],8)
[6,7,2,8,1,5,3,4]=>([(0,5),(0,6),(1,5),(1,6),(1,7),(2,4),(4,7),(6,3)],8)
[6,7,8,2,1,4,3,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,7),(6,7)],8)
[6,7,1,2,8,4,5,3]=>([(0,4),(1,6),(4,7),(5,3),(6,2),(6,5),(6,7)],8)
[6,7,1,3,4,8,5,2]=>([(0,4),(1,3),(1,5),(4,7),(5,6),(6,2),(6,7)],8)
[5,2,7,3,4,6,8,1]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(4,6),(5,7),(6,7)],8)
[5,1,7,3,4,8,6,2]=>([(0,6),(0,7),(1,2),(1,4),(1,7),(3,5),(3,6),(4,3),(7,5)],8)
[5,1,7,8,2,3,6,4]=>([(0,6),(0,7),(1,4),(1,7),(4,5),(5,2),(5,6),(7,3)],8)
[4,1,8,7,2,3,6,5]=>([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(3,4),(3,5)],8)
[3,8,1,2,7,4,5,6]=>([(0,4),(1,3),(1,6),(1,7),(4,6),(4,7),(5,2),(7,5)],8)
[4,1,3,7,5,8,6,2]=>([(0,6),(0,7),(1,3),(1,4),(4,6),(4,7),(6,5),(7,2),(7,5)],8)
[3,1,4,5,7,8,6,2]=>([(0,7),(1,4),(1,7),(5,3),(6,2),(6,5),(7,6)],8)
[2,1,8,3,4,7,6,5]=>([(0,6),(0,7),(1,6),(1,7),(5,2),(5,3),(5,4),(7,5)],8)
[8,2,1,3,4,6,5,7]=>([(1,6),(2,6),(3,4),(3,5),(4,7),(5,7),(6,3)],8)
[1,8,2,3,4,5,7,6]=>([(0,3),(0,6),(4,5),(5,7),(6,4),(7,1),(7,2)],8)
[1,2,8,3,4,6,7,5]=>([(0,7),(4,6),(5,3),(6,2),(6,5),(7,1),(7,4)],8)
[4,2,1,6,5,8,7,3]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(6,4),(6,5),(7,4),(7,5)],8)
[5,2,6,1,4,8,7,3]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8)
[5,2,6,4,1,8,7,3]=>([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(5,6),(5,7)],8)
[5,2,7,4,8,1,6,3]=>([(0,4),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(5,6)],8)
[5,2,7,4,8,6,1,3]=>([(0,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(7,4)],8)
[5,7,2,3,8,6,1,4]=>([(0,6),(1,4),(2,3),(2,5),(3,7),(4,5),(4,6),(4,7)],8)
[5,7,2,3,8,1,6,4]=>([(0,5),(0,7),(1,4),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7)],8)
[5,6,2,3,1,8,7,4]=>([(0,5),(0,6),(0,7),(1,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,6,2,1,3,8,7,4]=>([(0,5),(1,5),(2,4),(4,6),(4,7),(5,3),(5,6),(5,7)],8)
[5,1,6,4,2,8,7,3]=>([(0,5),(1,3),(1,4),(1,5),(3,6),(3,7),(4,2),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,1,3,2,8,7,4]=>([(0,4),(1,2),(1,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7)],8)
[5,6,3,1,2,8,7,4]=>([(0,5),(0,6),(0,7),(1,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,6,3,2,1,8,7,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,6),(4,7)],8)
[5,7,3,2,8,1,6,4]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,6)],8)
[5,7,3,2,8,6,1,4]=>([(0,5),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(4,7)],8)
[6,7,3,8,2,1,5,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5)],8)
[6,7,3,8,1,2,5,4]=>([(0,5),(0,6),(0,7),(1,3),(2,4),(3,5),(4,6),(4,7)],8)
[5,7,3,1,8,2,6,4]=>([(0,5),(0,6),(0,7),(1,3),(1,7),(2,4),(2,6),(3,6),(4,5),(4,7)],8)
[5,7,1,3,8,2,6,4]=>([(0,4),(0,7),(1,2),(1,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6)],8)
[5,1,7,4,8,2,6,3]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(3,5),(3,7),(4,2),(4,7),(6,5)],8)
[1,5,7,4,8,3,6,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,7),(4,6),(4,7),(5,1),(5,7)],8)
[1,5,7,4,8,6,3,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(4,7),(5,1),(5,7)],8)
[5,1,7,4,8,6,2,3]=>([(0,6),(0,7),(1,3),(1,4),(1,7),(3,5),(3,6),(4,2),(7,5)],8)
[5,7,1,3,8,6,2,4]=>([(0,4),(0,7),(1,2),(1,3),(2,5),(3,5),(3,6),(3,7),(4,6)],8)
[5,7,3,1,8,6,2,4]=>([(0,5),(0,6),(0,7),(1,3),(1,6),(2,4),(2,6),(2,7),(3,7),(4,5)],8)
[6,7,3,8,1,5,2,4]=>([(0,5),(0,6),(0,7),(1,3),(2,4),(2,5),(3,6),(4,7)],8)
[6,7,3,8,5,2,1,4]=>([(0,7),(1,7),(2,5),(3,4),(3,6),(3,7),(5,6)],8)
[6,7,8,3,1,4,2,5]=>([(0,6),(1,4),(2,3),(2,6),(3,7),(4,5),(6,7)],8)
[6,7,1,8,3,5,2,4]=>([(0,4),(1,3),(1,5),(1,7),(3,6),(4,7),(5,2),(5,6)],8)
[6,1,7,8,4,5,2,3]=>([(0,7),(1,5),(1,6),(1,7),(5,3),(6,2),(7,4)],8)
[1,6,7,8,4,5,3,2]=>([(0,3),(0,4),(0,6),(0,7),(5,1),(6,2),(7,5)],8)
[1,6,7,8,4,3,5,2]=>([(0,2),(0,3),(0,4),(0,6),(3,7),(4,7),(5,1),(6,5)],8)
[6,1,7,8,4,2,5,3]=>([(0,7),(1,4),(1,5),(1,7),(4,6),(5,3),(5,6),(7,2)],8)
[6,7,1,8,3,2,5,4]=>([(0,4),(1,2),(1,3),(1,7),(2,5),(2,6),(3,5),(3,6),(4,7)],8)
[5,7,2,1,8,3,6,4]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(4,7),(6,3),(6,5)],8)
[6,7,2,8,1,3,5,4]=>([(0,6),(1,6),(1,7),(2,3),(3,7),(6,4),(6,5)],8)
[6,7,2,8,3,1,5,4]=>([(0,6),(0,7),(1,3),(2,4),(2,5),(3,5),(4,6),(4,7)],8)
[6,7,2,8,3,5,1,4]=>([(0,7),(1,3),(2,4),(2,6),(3,6),(4,5),(4,7)],8)
[6,2,7,8,4,5,1,3]=>([(0,7),(1,6),(2,4),(2,6),(2,7),(4,5),(7,3)],8)
[6,2,7,8,4,1,5,3]=>([(0,6),(1,5),(1,7),(2,4),(2,5),(2,6),(4,7),(6,3)],8)
[6,2,7,8,1,4,5,3]=>([(0,6),(1,5),(1,7),(2,5),(2,6),(2,7),(6,3),(7,4)],8)
[5,2,7,1,8,4,6,3]=>([(0,3),(0,6),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(6,4),(7,3)],8)
[4,2,1,7,8,5,6,3]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,4),(7,3)],8)
[4,1,2,7,8,6,5,3]=>([(0,5),(0,6),(0,7),(1,4),(4,3),(4,5),(4,6),(4,7),(7,2)],8)
[6,2,7,8,1,5,4,3]=>([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[6,2,7,8,5,1,4,3]=>([(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[6,2,7,8,5,4,1,3]=>([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[6,7,2,8,5,3,1,4]=>([(0,6),(1,5),(2,3),(2,4),(2,7),(4,6),(5,7)],8)
[5,7,2,1,8,6,3,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(3,7),(5,4)],8)
[5,7,1,2,8,6,3,4]=>([(0,5),(1,3),(1,7),(3,6),(4,2),(5,4),(5,6),(5,7)],8)
[5,1,7,2,8,6,4,3]=>([(0,6),(0,7),(1,4),(1,7),(4,2),(4,3),(4,5),(4,6),(7,5)],8)
[1,5,7,3,8,6,4,2]=>([(0,3),(0,4),(0,5),(2,6),(4,2),(4,7),(5,1),(5,6),(5,7)],8)
[1,6,7,8,3,5,4,2]=>([(0,4),(0,6),(0,7),(5,3),(6,5),(7,1),(7,2)],8)
[6,1,7,8,2,5,4,3]=>([(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(7,5)],8)
[6,7,1,8,2,5,3,4]=>([(0,4),(1,6),(1,7),(4,7),(5,3),(6,2),(6,5)],8)
[6,7,8,2,4,1,3,5]=>([(0,6),(1,4),(2,3),(2,6),(3,7),(4,5),(6,7)],8)
[6,7,8,2,4,3,1,5]=>([(0,7),(1,6),(2,4),(2,5),(4,7),(5,7),(6,3)],8)
[6,7,1,8,5,2,3,4]=>([(0,4),(1,3),(1,6),(1,7),(4,7),(5,2),(6,5)],8)
[6,1,7,8,5,2,4,3]=>([(0,7),(1,4),(1,6),(1,7),(6,2),(6,3),(7,5)],8)
[1,6,7,8,5,3,4,2]=>([(0,3),(0,4),(0,6),(0,7),(5,1),(6,2),(7,5)],8)
[6,1,7,8,5,4,2,3]=>([(0,7),(1,3),(1,4),(1,6),(1,7),(6,2),(7,5)],8)
[6,7,1,8,5,3,2,4]=>([(0,5),(1,2),(1,3),(1,4),(1,7),(3,6),(4,6),(5,7)],8)
[6,7,8,4,1,3,2,5]=>([(0,7),(1,6),(2,4),(2,5),(4,7),(5,7),(6,3)],8)
[6,3,8,5,2,7,4,1]=>([(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(4,7)],8)
[6,5,2,8,4,7,3,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(5,7)],8)
[6,3,4,5,8,7,2,1]=>([(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)
[5,6,1,4,8,7,3,2]=>([(0,5),(1,2),(1,3),(1,4),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,4,8,5,7,1,2]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(3,7),(5,2),(5,7)],8)
[5,1,4,8,6,3,7,2]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(3,5),(4,6),(4,7),(7,5)],8)
[3,4,7,1,8,6,5,2]=>([(0,4),(1,3),(1,5),(1,6),(1,7),(2,5),(4,2),(4,6),(4,7)],8)
[6,3,8,4,2,7,1,5]=>([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(4,6),(4,7)],8)
[3,6,8,7,1,4,2,5]=>([(0,4),(0,7),(1,5),(1,7),(4,6),(5,2),(5,3),(7,6)],8)
[5,3,7,1,6,8,2,4]=>([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(2,7),(3,6),(4,5),(7,5)],8)
[4,3,8,5,6,7,2,1]=>([(2,6),(2,7),(3,6),(3,7),(4,5),(7,4)],8)
[4,6,1,2,7,8,5,3]=>([(0,5),(1,4),(1,6),(4,7),(5,3),(5,6),(5,7),(7,2)],8)
[3,6,4,2,8,7,5,1]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,3,7,5,2,8,1,4]=>([(0,6),(1,6),(1,7),(2,5),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[6,5,2,7,4,8,1,3]=>([(0,7),(1,7),(2,5),(3,4),(3,5),(3,7),(4,6),(7,6)],8)
[5,7,1,4,8,3,2,6]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(2,7),(3,7),(4,6),(4,7),(5,6)],8)
[7,8,3,5,1,4,6,2]=>([(0,4),(1,3),(1,6),(2,5),(2,6),(5,7),(6,7)],8)
[5,8,1,4,6,7,2,3]=>([(0,5),(0,7),(1,3),(1,6),(3,7),(6,2),(7,4)],8)
[6,5,8,4,3,7,2,1]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,7,4,2,8,5,1]=>([(1,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,7)],8)
[8,7,1,6,2,4,5,3]=>([(2,5),(2,7),(6,4),(7,3),(7,6)],8)
[3,8,6,7,1,4,5,2]=>([(0,5),(0,7),(1,3),(1,6),(1,7),(6,2),(7,4)],8)
[5,3,8,7,4,1,2,6]=>([(0,5),(0,6),(0,7),(1,3),(2,4),(2,5),(2,6),(3,7),(4,7)],8)
[4,3,8,7,1,5,6,2]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,7),(7,4)],8)
[8,3,6,1,2,5,7,4]=>([(1,4),(2,3),(2,5),(2,6),(3,7),(4,5),(4,6),(6,7)],8)
[5,6,1,8,7,3,2,4]=>([(0,4),(1,2),(1,3),(1,6),(1,7),(2,5),(3,5),(4,6),(4,7)],8)
[5,4,2,7,3,6,8,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,7),(6,5),(7,5)],8)
[7,5,3,6,4,2,8,1]=>([(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[6,4,1,5,3,8,2,7]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,6,3,4,7,5,1]=>([(2,4),(2,5),(4,7),(5,6),(6,3),(6,7)],8)
[7,2,6,3,5,4,8,1]=>([(1,7),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[6,2,7,4,3,5,8,1]=>([(1,5),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,7,6,4,5,2,8,1]=>([(1,7),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[2,7,6,5,3,4,8,1]=>([(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2)],8)
[6,5,4,3,1,8,2,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[8,6,5,4,2,7,3,1]=>([(2,7),(3,7),(4,7),(5,6),(5,7)],8)
[8,5,4,1,7,2,6,3]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7)],8)
[7,5,4,1,8,3,2,6]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[1,6,5,2,8,3,4,7]=>([(0,2),(0,3),(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,1),(5,4),(5,6)],8)
[1,6,5,3,4,8,2,7]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1)],8)
[5,4,6,3,1,8,2,7]=>([(0,6),(0,7),(1,5),(2,5),(3,4),(3,6),(4,7),(5,6),(5,7)],8)
[6,5,8,4,2,7,3,1]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7)],8)
[5,8,2,6,4,7,3,1]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(5,7),(6,7)],8)
[7,8,5,3,2,6,4,1]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5)],8)
[6,8,3,1,7,2,5,4]=>([(0,5),(0,6),(0,7),(1,3),(1,7),(2,4),(2,7),(4,5),(4,6)],8)
[1,8,6,3,7,5,2,4]=>([(0,2),(0,3),(0,4),(0,5),(3,7),(4,6),(5,1),(5,6),(5,7)],8)
[8,7,5,2,6,4,3,1]=>([(3,7),(4,5),(4,6),(4,7)],8)
[8,7,1,6,2,5,4,3]=>([(2,6),(2,7),(7,3),(7,4),(7,5)],8)
[7,8,1,6,3,2,5,4]=>([(0,5),(1,2),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7)],8)
[2,8,1,7,3,5,6,4]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(5,3),(7,2),(7,5)],8)
[4,8,1,3,7,2,6,5]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(2,6),(2,7),(3,5),(3,6),(3,7)],8)
[4,2,8,5,7,3,6,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(6,3),(6,7)],8)
[5,1,7,6,8,3,2,4]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(3,5),(6,4),(7,4)],8)
[6,7,3,1,8,4,2,5]=>([(0,5),(0,7),(1,4),(2,3),(2,5),(2,7),(3,6),(4,7),(5,6)],8)
[1,7,3,8,4,5,2,6]=>([(0,2),(0,3),(0,5),(1,7),(2,6),(3,7),(4,1),(5,4),(5,6)],8)
[1,7,2,8,5,3,4,6]=>([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(5,4),(5,7)],8)
[7,6,1,8,4,3,2,5]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7)],8)
[8,6,1,7,4,2,5,3]=>([(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(4,7)],8)
[8,1,2,7,3,4,6,5]=>([(1,7),(5,6),(6,3),(6,4),(7,2),(7,5)],8)
[7,1,2,8,3,5,4,6]=>([(0,7),(1,4),(2,6),(3,6),(4,5),(4,7),(5,2),(5,3)],8)
[8,2,6,1,7,3,5,4]=>([(1,6),(1,7),(2,3),(2,6),(3,7),(6,4),(6,5)],8)
[4,2,1,5,8,3,6,7]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(5,6),(6,3),(7,4),(7,6)],8)
[5,4,3,1,6,8,2,7]=>([(0,7),(1,7),(2,7),(3,5),(3,7),(5,6),(7,4),(7,6)],8)
[4,7,5,6,8,3,2,1]=>([(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,5,4,8,2,7,3,1]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7)],8)
[6,5,1,8,7,4,2,3]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(4,5)],8)
[8,6,4,7,5,3,2,1]=>([(4,7),(5,6),(5,7)],8)
[5,1,8,3,7,6,2,4]=>([(0,2),(0,3),(0,7),(1,4),(1,5),(1,7),(2,6),(3,4),(3,5),(3,6)],8)
[5,4,8,1,7,2,6,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(3,4),(3,7)],8)
[3,6,8,2,4,7,5,1]=>([(1,6),(2,3),(2,6),(3,5),(3,7),(6,4),(6,7)],8)
[5,7,3,8,2,6,4,1]=>([(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,6)],8)
[4,7,2,8,6,3,5,1]=>([(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,7),(4,6)],8)
[2,3,8,7,4,5,6,1]=>([(1,7),(5,6),(6,4),(7,2),(7,3),(7,5)],8)
[7,2,8,6,4,3,5,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[2,1,8,7,5,6,3,4]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8)
[8,2,7,6,3,5,4,1]=>([(2,5),(2,6),(2,7),(7,3),(7,4)],8)
[8,1,7,6,5,2,4,3]=>([(1,4),(1,5),(1,6),(1,7),(7,2),(7,3)],8)
[7,1,8,6,5,3,2,4]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(4,6),(5,6)],8)
[1,2,8,7,6,3,4,5]=>([(0,7),(5,6),(6,4),(7,1),(7,2),(7,3),(7,5)],8)
[1,3,8,7,4,6,2,5]=>([(0,4),(0,6),(4,7),(5,3),(5,7),(6,1),(6,2),(6,5)],8)
[5,1,6,8,7,4,2,3]=>([(0,7),(1,3),(1,6),(1,7),(6,2),(7,4),(7,5)],8)
[6,8,7,2,5,4,3,1]=>([(1,6),(1,7),(2,3),(2,4),(2,5)],8)
[3,8,7,6,4,5,2,1]=>([(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[2,8,7,6,5,3,4,1]=>([(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8)
[1,8,7,6,5,4,2,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)
[5,8,6,7,3,4,1,2]=>([(0,6),(1,5),(2,4),(2,7),(7,3)],8)
[4,8,6,7,3,5,1,2]=>([(0,7),(1,5),(2,4),(2,6),(2,7),(6,3)],8)
[3,8,6,7,4,5,1,2]=>([(0,5),(1,4),(1,6),(1,7),(6,3),(7,2)],8)
[2,8,6,7,4,5,1,3]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(5,3),(6,2)],8)
[1,8,6,7,4,5,2,3]=>([(0,4),(0,5),(0,6),(0,7),(5,3),(6,2),(7,1)],8)
[1,8,5,7,4,6,2,3]=>([(0,3),(0,4),(0,5),(0,6),(4,7),(5,2),(6,1),(6,7)],8)
[3,8,5,7,4,6,1,2]=>([(0,5),(1,3),(1,4),(1,6),(4,7),(6,2),(6,7)],8)
[4,8,5,7,3,6,1,2]=>([(0,7),(1,5),(2,4),(2,6),(6,3),(6,7)],8)
[7,8,3,6,4,5,1,2]=>([(0,6),(1,5),(2,4),(2,7),(7,3)],8)
[6,8,3,7,4,5,1,2]=>([(0,5),(1,4),(1,7),(2,6),(2,7),(6,3)],8)
[5,8,3,7,4,6,1,2]=>([(0,4),(1,5),(1,6),(2,3),(2,6),(2,7),(5,7)],8)
[3,7,4,8,5,6,1,2]=>([(0,4),(1,3),(1,6),(3,7),(5,2),(6,5),(6,7)],8)
[4,7,3,8,5,6,1,2]=>([(0,6),(0,7),(1,3),(2,4),(2,6),(4,7),(6,5)],8)
[4,7,2,8,5,6,1,3]=>([(0,5),(1,5),(1,6),(1,7),(2,4),(2,6),(4,7),(6,3)],8)
[4,7,1,8,5,6,2,3]=>([(0,4),(0,7),(1,5),(1,6),(1,7),(4,6),(5,3),(7,2)],8)
[3,7,1,8,5,6,2,4]=>([(0,4),(0,6),(0,7),(1,3),(1,5),(1,7),(3,6),(4,5),(7,2)],8)
[3,7,2,8,5,6,1,4]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,6),(5,4)],8)
[2,7,3,8,5,6,1,4]=>([(0,7),(1,3),(1,5),(3,6),(4,2),(5,4),(5,6),(5,7)],8)
[2,7,4,8,5,6,1,3]=>([(0,7),(1,3),(1,5),(1,7),(3,6),(4,2),(5,4),(5,6)],8)
[5,8,2,7,4,6,1,3]=>([(0,6),(1,3),(1,5),(1,7),(2,4),(2,5),(2,6),(4,7)],8)
[6,8,2,7,4,5,1,3]=>([(0,7),(1,3),(1,6),(2,4),(2,6),(2,7),(4,5)],8)
[7,8,2,6,4,5,1,3]=>([(0,7),(1,5),(2,4),(2,6),(2,7),(6,3)],8)
[7,8,1,6,4,5,2,3]=>([(0,5),(1,4),(1,6),(1,7),(6,3),(7,2)],8)
[6,8,1,7,4,5,2,3]=>([(0,4),(0,7),(1,5),(1,6),(1,7),(5,3),(6,2)],8)
[5,8,1,7,4,6,2,3]=>([(0,4),(0,6),(0,7),(1,3),(1,5),(1,7),(3,6),(5,2)],8)
[1,7,4,8,5,6,2,3]=>([(0,3),(0,5),(0,6),(3,7),(4,1),(5,2),(6,4),(6,7)],8)
[1,7,3,8,5,6,2,4]=>([(0,2),(0,3),(0,5),(2,7),(3,6),(4,1),(5,4),(5,6),(5,7)],8)
[2,8,5,6,1,7,3,4]=>([(0,6),(0,7),(1,3),(1,5),(1,7),(4,6),(5,4),(7,2)],8)
[1,8,5,6,2,7,3,4]=>([(0,3),(0,5),(0,6),(2,7),(4,1),(5,2),(6,4),(6,7)],8)
[1,7,3,8,4,6,2,5]=>([(0,2),(0,3),(0,5),(2,6),(3,7),(4,1),(4,7),(5,4),(5,6)],8)
[4,8,1,7,3,6,2,5]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(2,7),(3,5),(3,7)],8)
[5,8,1,7,3,6,2,4]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(1,7),(2,5),(3,5),(3,6)],8)
[6,8,1,7,3,5,2,4]=>([(0,4),(0,7),(1,3),(1,5),(1,7),(3,6),(5,2),(5,6)],8)
[7,8,2,6,3,5,1,4]=>([(0,7),(1,5),(2,4),(2,6),(6,3),(6,7)],8)
[6,8,2,7,3,5,1,4]=>([(0,7),(1,3),(1,6),(2,4),(2,6),(4,5),(4,7)],8)
[5,8,2,7,3,6,1,4]=>([(0,7),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6),(4,7)],8)
[4,8,2,7,3,6,1,5]=>([(0,7),(1,4),(1,5),(2,3),(2,5),(2,6),(2,7),(4,6),(4,7)],8)
[2,7,3,8,4,6,1,5]=>([(0,7),(1,3),(1,5),(3,6),(4,2),(4,7),(5,4),(5,6)],8)
[3,7,2,8,4,6,1,5]=>([(0,6),(0,7),(1,5),(2,4),(2,6),(4,7),(6,3),(6,5)],8)
[3,7,1,8,4,6,2,5]=>([(0,3),(0,7),(1,4),(1,6),(1,7),(3,6),(4,5),(7,2),(7,5)],8)
[1,8,4,7,3,6,2,5]=>([(0,2),(0,3),(0,4),(0,5),(3,7),(4,6),(4,7),(5,1),(5,6),(5,7)],8)
[2,8,4,7,3,6,1,5]=>([(0,7),(1,3),(1,4),(1,5),(4,6),(4,7),(5,2),(5,6),(5,7)],8)
[3,8,4,7,2,6,1,5]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(4,5),(4,6),(4,7)],8)
[4,8,5,7,2,6,1,3]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(4,5),(4,7)],8)
[3,8,5,7,2,6,1,4]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(4,5),(4,6)],8)
[2,8,5,7,3,6,1,4]=>([(0,7),(1,3),(1,4),(1,5),(4,6),(4,7),(5,2),(5,6)],8)
[1,8,5,7,3,6,2,4]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(4,7),(5,1),(5,7)],8)
[1,8,6,7,3,5,2,4]=>([(0,3),(0,4),(0,5),(0,6),(4,7),(5,2),(6,1),(6,7)],8)
[2,8,6,7,3,5,1,4]=>([(0,7),(1,4),(1,5),(1,6),(5,3),(6,2),(6,7)],8)
[3,8,6,7,2,5,1,4]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(4,5)],8)
[4,8,6,7,2,5,1,3]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(2,7),(4,5)],8)
[5,8,6,7,2,4,1,3]=>([(0,7),(1,5),(1,7),(2,4),(2,6),(6,3)],8)
[6,8,5,7,1,4,2,3]=>([(0,7),(1,5),(1,7),(2,4),(2,6),(6,3)],8)
[5,8,6,7,1,4,2,3]=>([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8)
[4,8,6,7,1,5,2,3]=>([(0,6),(0,7),(1,4),(1,5),(1,7),(5,3),(6,2)],8)
[3,8,6,7,1,5,2,4]=>([(0,4),(0,7),(1,3),(1,5),(1,6),(1,7),(4,6),(5,2)],8)
[1,5,2,8,6,7,3,4]=>([(0,3),(0,5),(3,6),(3,7),(4,2),(5,4),(5,6),(5,7),(7,1)],8)
[2,5,1,8,6,7,3,4]=>([(0,5),(0,6),(0,7),(1,2),(1,7),(2,5),(2,6),(6,3),(7,4)],8)
[2,6,1,8,5,7,3,4]=>([(0,3),(0,6),(0,7),(1,5),(1,6),(1,7),(3,4),(3,5),(6,2),(7,4)],8)
[1,6,2,8,5,7,3,4]=>([(0,3),(0,5),(2,6),(3,6),(3,7),(4,1),(5,2),(5,4),(5,7)],8)
[3,8,5,7,1,6,2,4]=>([(0,4),(0,7),(1,3),(1,5),(1,6),(4,6),(5,2),(5,7)],8)
[6,8,4,7,1,5,2,3]=>([(0,6),(0,7),(1,3),(1,6),(2,4),(2,7),(4,5)],8)
[7,8,4,6,1,5,2,3]=>([(0,5),(1,4),(1,7),(2,6),(2,7),(6,3)],8)
[7,8,3,6,1,5,2,4]=>([(0,4),(1,5),(1,6),(2,3),(2,6),(2,7),(5,7)],8)
[6,8,3,7,1,5,2,4]=>([(0,5),(0,6),(0,7),(1,3),(1,5),(2,4),(2,6),(4,7)],8)
[4,8,3,7,1,6,2,5]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(2,3),(2,5),(2,6),(2,7),(4,7)],8)
[3,8,4,7,1,6,2,5]=>([(0,4),(0,7),(1,3),(1,5),(4,6),(5,2),(5,6),(5,7)],8)
[1,6,2,8,4,7,3,5]=>([(0,3),(0,4),(1,5),(2,5),(2,6),(3,6),(3,7),(4,1),(4,2),(4,7)],8)
[2,6,1,8,4,7,3,5]=>([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(6,3),(7,3),(7,4)],8)
[3,7,2,6,1,8,4,5]=>([(0,6),(0,7),(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(5,7),(6,4)],8)
[3,7,1,6,2,8,4,5]=>([(0,4),(0,5),(1,3),(1,5),(1,6),(3,7),(4,6),(4,7),(5,7),(6,2)],8)
[4,8,1,6,2,7,3,5]=>([(0,3),(0,6),(0,7),(1,4),(1,7),(2,6),(4,2),(4,5),(7,5)],8)
[5,8,1,6,2,7,3,4]=>([(0,5),(0,7),(1,3),(1,7),(4,2),(5,4),(5,6),(7,6)],8)
[7,8,1,5,2,6,3,4]=>([(0,4),(1,3),(1,6),(3,7),(5,2),(6,5),(6,7)],8)
[7,8,2,5,1,6,3,4]=>([(0,6),(0,7),(1,3),(2,4),(2,6),(4,7),(6,5)],8)
[6,8,2,5,1,7,3,4]=>([(0,6),(0,7),(1,3),(1,7),(2,4),(2,6),(4,7),(6,5)],8)
[5,8,2,6,1,7,3,4]=>([(0,6),(0,7),(1,5),(1,7),(2,4),(2,5),(5,6),(7,3)],8)
[4,8,2,6,1,7,3,5]=>([(0,4),(0,6),(1,6),(1,7),(2,3),(2,5),(2,7),(6,5),(7,4)],8)
[1,7,3,6,2,8,4,5]=>([(0,3),(0,4),(0,5),(1,7),(3,7),(4,6),(4,7),(5,1),(5,6),(6,2)],8)
[2,7,3,6,1,8,4,5]=>([(0,6),(0,7),(1,3),(1,5),(2,7),(3,7),(5,2),(5,6),(6,4)],8)
[6,7,4,8,3,5,1,2]=>([(0,6),(1,6),(1,7),(2,4),(3,5),(5,7)],8)
[6,7,4,5,2,8,1,3]=>([(0,6),(1,6),(1,7),(2,5),(3,4),(4,7),(5,7)],8)
[5,7,4,6,2,3,1,8]=>([(0,7),(1,6),(2,5),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[5,7,4,6,3,8,1,2]=>([(0,7),(1,6),(2,4),(3,5),(3,6),(5,7),(6,7)],8)
[5,7,4,8,3,6,1,2]=>([(0,7),(1,6),(1,7),(2,4),(3,5),(3,7),(5,6)],8)
[6,8,4,5,3,7,1,2]=>([(0,7),(1,4),(2,6),(3,5),(3,7),(6,7)],8)
[5,8,4,6,3,7,1,2]=>([(0,7),(1,6),(2,5),(3,4),(3,6),(6,7)],8)
[5,6,4,8,3,7,1,2]=>([(0,7),(1,6),(1,7),(2,4),(3,5),(5,6),(5,7)],8)
[5,6,3,7,2,4,1,8]=>([(0,7),(1,5),(2,5),(2,6),(3,4),(4,6),(5,7),(6,7)],8)
[5,6,3,7,2,8,1,4]=>([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(4,6),(6,5)],8)
[5,6,3,8,2,7,1,4]=>([(0,6),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,7)],8)
[5,6,4,8,2,7,1,3]=>([(0,6),(0,7),(1,5),(2,5),(2,7),(3,4),(4,6),(4,7)],8)
[5,8,4,6,2,7,1,3]=>([(0,5),(1,6),(2,5),(2,7),(3,4),(3,6),(6,7)],8)
[6,8,4,5,2,7,1,3]=>([(0,6),(1,6),(1,7),(2,5),(3,4),(3,7),(5,7)],8)
[7,8,4,5,2,6,1,3]=>([(0,6),(1,6),(1,7),(2,4),(3,5),(5,7)],8)
[6,8,4,5,2,3,1,7]=>([(0,7),(1,6),(2,5),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,4,6,2,3,1,7]=>([(0,7),(1,6),(2,5),(3,4),(3,6),(5,7),(6,7)],8)
[5,6,4,8,2,3,1,7]=>([(0,7),(1,6),(1,7),(2,4),(3,5),(4,7),(5,6),(5,7)],8)
[5,6,3,8,2,4,1,7]=>([(0,7),(1,5),(2,5),(2,6),(3,4),(4,6),(4,7),(5,7)],8)
[5,6,3,4,2,8,1,7]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,3,5,2,7,1,8]=>([(0,7),(1,5),(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[4,6,3,5,2,8,1,7]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,3,8,2,5,1,7]=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,7),(6,7)],8)
[4,8,3,6,2,5,1,7]=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[5,8,3,6,2,4,1,7]=>([(0,7),(1,5),(2,5),(2,6),(3,4),(3,6),(5,7),(6,7)],8)
[6,8,3,5,2,4,1,7]=>([(0,7),(1,6),(2,4),(2,7),(3,5),(3,6),(5,7),(6,7)],8)
[7,8,3,5,2,4,1,6]=>([(0,7),(1,6),(2,4),(3,5),(3,6),(5,7),(6,7)],8)
[7,8,3,5,2,6,1,4]=>([(0,7),(1,6),(1,7),(2,4),(3,5),(3,7),(5,6)],8)
[5,8,3,6,2,7,1,4]=>([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(5,6)],8)
[4,8,3,6,2,7,1,5]=>([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(5,6)],8)
[4,6,3,8,2,7,1,5]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6)],8)
[4,6,3,7,2,8,1,5]=>([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(6,5)],8)
[4,7,3,6,2,5,1,8]=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,7,3,6,2,8,1,5]=>([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
[4,7,3,8,2,6,1,5]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8)
[5,7,4,8,2,6,1,3]=>([(0,6),(0,7),(1,5),(2,5),(2,7),(3,4),(3,7),(4,6)],8)
[5,7,3,6,2,8,1,4]=>([(0,6),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(4,7),(5,7)],8)
[5,7,3,6,2,4,1,8]=>([(0,7),(1,5),(2,5),(2,6),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[6,7,3,5,2,4,1,8]=>([(0,7),(1,6),(2,5),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[6,7,3,5,2,8,1,4]=>([(0,6),(1,6),(1,7),(2,5),(3,4),(3,6),(4,7),(5,7)],8)
[6,7,4,8,2,5,1,3]=>([(0,5),(1,6),(1,7),(2,5),(2,6),(3,4),(4,7)],8)
[6,7,5,8,2,4,1,3]=>([(0,7),(1,6),(2,5),(3,4),(3,6),(5,7)],8)
[6,8,5,7,2,3,1,4]=>([(0,7),(1,6),(2,5),(3,4),(3,6),(5,7)],8)
[6,7,4,8,2,3,1,5]=>([(0,7),(1,6),(1,7),(2,4),(3,5),(4,7),(5,6)],8)
[6,7,3,8,2,4,1,5]=>([(0,6),(1,5),(2,5),(2,7),(3,4),(4,7),(5,6)],8)
[6,7,3,4,2,8,1,5]=>([(0,6),(1,6),(1,7),(2,4),(3,5),(4,7),(5,6),(5,7)],8)
[5,7,3,4,2,6,1,8]=>([(0,7),(1,6),(2,5),(3,4),(3,6),(4,7),(5,6),(6,7)],8)
[5,7,3,4,2,8,1,6]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(5,7)],8)
[5,7,4,8,2,3,1,6]=>([(0,7),(1,6),(1,7),(2,4),(3,5),(3,7),(4,7),(5,6)],8)
[5,8,4,7,2,3,1,6]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7),(5,7)],8)
[6,8,4,7,2,3,1,5]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(5,7)],8)
[7,8,4,6,2,3,1,5]=>([(0,7),(1,4),(2,6),(3,5),(3,7),(6,7)],8)
[7,8,3,6,2,4,1,5]=>([(0,7),(1,6),(2,5),(3,4),(3,6),(6,7)],8)
[6,8,3,7,2,4,1,5]=>([(0,7),(1,5),(2,5),(2,6),(3,4),(3,6),(5,7)],8)
[5,8,3,7,2,4,1,6]=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,5),(3,7),(6,7)],8)
[4,8,3,7,2,5,1,6]=>([(0,7),(1,6),(2,5),(2,7),(3,4),(3,5),(3,7),(7,6)],8)
[4,7,3,8,2,5,1,6]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,7),(4,6),(7,5)],8)
[4,7,3,5,2,8,1,6]=>([(0,6),(1,6),(1,7),(2,5),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[4,7,3,5,2,6,1,8]=>([(0,6),(1,7),(2,5),(3,4),(3,5),(4,7),(5,6),(6,7)],8)
[4,5,3,7,2,6,1,8]=>([(0,7),(1,6),(2,5),(2,7),(3,4),(4,5),(4,7),(5,6),(7,6)],8)
[4,5,3,7,2,8,1,6]=>([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(4,6),(4,7),(6,5)],8)
[4,5,3,8,2,7,1,6]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[4,8,3,5,2,7,1,6]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(5,6),(5,7)],8)
[5,8,3,4,2,7,1,6]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
[6,8,3,4,2,7,1,5]=>([(0,6),(1,6),(1,7),(2,5),(3,4),(3,7),(5,6),(5,7)],8)
[7,8,3,4,2,6,1,5]=>([(0,7),(1,6),(1,7),(2,4),(3,5),(5,6),(5,7)],8)
[6,8,3,4,2,5,1,7]=>([(0,7),(1,6),(2,5),(3,4),(3,7),(5,6),(6,7)],8)
[5,8,3,4,2,6,1,7]=>([(0,7),(1,6),(2,5),(3,4),(3,7),(5,7),(7,6)],8)
[4,8,3,5,2,6,1,7]=>([(0,5),(1,6),(2,7),(3,4),(3,5),(5,7),(7,6)],8)
[4,5,3,8,2,6,1,7]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(7,5)],8)
[4,5,3,6,2,8,1,7]=>([(0,6),(1,7),(2,5),(2,7),(3,4),(4,6),(6,5),(6,7)],8)
[4,7,5,2,1,8,3,6]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(3,7),(4,6),(4,7),(5,6)],8)
[4,8,5,2,1,7,6,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(4,6),(4,7)],8)
[4,6,5,2,1,3,8,7]=>([(0,5),(1,5),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,4,2,3,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,5,3,1,2,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,6,1,3,2,8,7]=>([(0,5),(1,5),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,8,1,7,3,2,5]=>([(0,5),(0,7),(1,3),(1,4),(1,6),(3,7),(4,7),(5,2),(5,6)],8)
[4,7,8,1,6,3,5,2]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(4,6),(5,2)],8)
[7,4,8,1,6,5,3,2]=>([(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7)],8)
[5,4,8,1,3,7,6,2]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(4,6),(4,7)],8)
[8,4,5,3,1,7,6,2]=>([(1,6),(1,7),(2,5),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
[5,4,7,1,3,8,2,6]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(3,7),(4,6),(4,7),(5,6)],8)
[6,4,8,1,7,5,2,3]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4)],8)
[5,6,8,7,2,1,3,4]=>([(0,7),(1,7),(2,6),(6,3),(6,4),(7,5)],8)
[8,5,7,6,4,2,1,3]=>([(2,7),(3,7),(4,5),(4,6)],8)
[8,4,6,3,7,2,1,5]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
[6,3,2,8,7,4,1,5]=>([(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8)
[2,1,6,8,7,4,3,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(5,2),(5,3),(6,4),(7,4)],8)
[2,1,7,8,6,4,5,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8)
[7,3,2,8,6,4,5,1]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4)],8)
[7,6,8,5,2,4,3,1]=>([(2,7),(3,7),(4,5),(4,6)],8)
[5,7,8,6,2,3,1,4]=>([(0,7),(1,5),(2,4),(2,6),(5,7),(6,3)],8)
[5,8,7,6,3,2,1,4]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6)],8)
[6,8,7,5,3,2,4,1]=>([(2,7),(3,7),(4,5),(4,6)],8)
[5,8,4,2,3,7,6,1]=>([(1,6),(1,7),(2,5),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
[7,8,4,2,6,5,3,1]=>([(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8)
[4,8,7,2,6,3,5,1]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(5,7)],8)
[4,8,6,2,7,3,1,5]=>([(0,7),(1,4),(1,6),(2,3),(2,5),(2,7),(4,7),(5,6)],8)
[3,6,1,8,7,4,2,5]=>([(0,3),(0,7),(1,2),(1,4),(1,5),(1,7),(2,6),(3,4),(3,5),(7,6)],8)
[3,7,1,8,6,4,5,2]=>([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(4,5),(7,2)],8)
[3,8,1,6,7,5,2,4]=>([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(4,5),(7,2)],8)
[3,7,1,6,8,2,5,4]=>([(0,3),(0,7),(1,2),(1,4),(1,5),(1,7),(2,6),(3,4),(3,5),(7,6)],8)
[4,7,6,2,8,1,3,5]=>([(0,5),(1,5),(1,7),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6)],8)
[6,7,4,2,8,1,5,3]=>([(0,6),(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(4,7)],8)
[6,8,4,2,7,5,1,3]=>([(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7)],8)
[2,1,8,6,7,5,3,4]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8)
[8,3,2,6,7,5,1,4]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4)],8)
[8,6,4,3,7,5,1,2]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5)],8)
[5,8,6,7,3,1,2,4]=>([(0,7),(1,5),(2,4),(2,6),(5,7),(6,3)],8)
[6,7,5,8,1,3,4,2]=>([(0,7),(1,5),(2,4),(2,6),(5,7),(6,3)],8)
[7,6,5,8,1,4,3,2]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6)],8)
[8,6,5,7,4,1,3,2]=>([(2,7),(3,7),(4,5),(4,6)],8)
[7,6,4,3,8,1,5,2]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6)],8)
[7,3,2,6,8,1,5,4]=>([(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8)
[2,1,7,6,8,3,5,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(5,2),(5,3),(6,4),(7,4)],8)
[7,5,6,8,1,4,2,3]=>([(0,7),(1,5),(2,4),(2,6),(5,7),(6,3)],8)
[6,5,7,8,1,2,4,3]=>([(0,7),(1,7),(2,6),(6,3),(6,4),(7,5)],8)
[8,1,3,7,4,6,5,2]=>([(1,5),(1,7),(6,3),(6,4),(7,2),(7,6)],8)
[5,2,8,7,4,6,1,3]=>([(0,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5)],8)
[1,6,2,5,4,7,3,8]=>([(0,4),(0,5),(1,7),(2,7),(3,6),(4,7),(5,1),(5,2),(5,3),(7,6)],8)
[6,2,7,5,4,8,3,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[8,1,3,5,4,7,6,2]=>([(1,2),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3),(5,4)],8)
[6,1,5,4,3,8,7,2]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,8,3,4,5,7,2]=>([(0,6),(0,7),(1,2),(1,5),(1,7),(3,6),(4,3),(5,4)],8)
[7,1,5,3,4,8,6,2]=>([(0,7),(1,2),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3)],8)
[7,1,4,3,5,6,8,2]=>([(0,6),(1,2),(1,3),(1,4),(3,7),(4,7),(5,6),(7,5)],8)
[8,1,3,4,5,6,7,2]=>([(1,3),(1,7),(4,6),(5,4),(6,2),(7,5)],8)
[1,7,2,4,5,6,3,8]=>([(0,3),(0,6),(1,7),(2,7),(3,7),(4,5),(5,2),(6,1),(6,4)],8)
[6,3,2,7,5,1,8,4]=>([(0,6),(1,5),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(6,7)],8)
[8,4,7,2,5,6,1,3]=>([(1,6),(2,6),(2,7),(3,5),(3,7),(7,4)],8)
[6,5,8,2,4,7,3,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(5,7)],8)
[8,5,2,1,4,3,7,6]=>([(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,2,8,4,1,3,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[5,6,2,1,4,8,3,7]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(3,7),(4,7),(5,6),(5,7)],8)
[3,6,1,8,5,2,4,7]=>([(0,2),(0,4),(0,6),(1,3),(1,5),(1,6),(2,5),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,6,3,5,4,7,8]=>([(0,6),(1,7),(2,7),(3,7),(5,2),(5,3),(6,1),(6,5),(7,4)],8)
[3,4,1,2,8,6,5,7]=>([(0,3),(1,2),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[4,3,1,2,6,8,5,7]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(4,6),(4,7),(6,5),(7,3),(7,5)],8)
[5,8,1,6,3,2,4,7]=>([(0,4),(0,7),(1,2),(1,3),(1,7),(2,5),(3,5),(5,6),(7,6)],8)
[6,3,8,5,2,1,4,7]=>([(0,6),(1,6),(2,5),(2,7),(3,4),(3,5),(3,6),(4,7),(6,7)],8)
[8,3,1,5,2,4,7,6]=>([(1,3),(1,6),(2,6),(2,7),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[3,8,2,6,1,5,7,4]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(4,5),(7,5)],8)
[3,8,6,7,2,1,5,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(4,5)],8)
[8,5,6,4,2,1,7,3]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,7)],8)
[7,2,5,8,3,1,6,4]=>([(0,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,5,6,3,2,4,8]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(6,7)],8)
[6,1,2,3,8,5,7,4]=>([(0,6),(0,7),(1,4),(3,6),(4,5),(5,2),(5,3),(5,7)],8)
[7,1,2,3,6,5,8,4]=>([(0,7),(1,5),(3,7),(4,7),(5,6),(6,2),(6,3),(6,4)],8)
[7,2,1,3,8,6,4,5]=>([(0,7),(1,7),(2,6),(4,5),(7,3),(7,4),(7,6)],8)
[1,5,7,3,2,4,6,8]=>([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,7),(5,7),(7,6)],8)
[5,2,7,3,1,8,4,6]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,5),(3,6),(3,7),(5,7),(6,4)],8)
[5,8,2,4,1,3,7,6]=>([(0,5),(1,3),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,2,6,3,4,1,5]=>([(2,7),(3,4),(3,5),(5,6),(6,7)],8)
[4,8,1,6,3,2,7,5]=>([(0,4),(0,5),(0,7),(1,2),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(5,6)],8)
[3,1,8,6,4,2,7,5]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,7),(5,7),(6,3),(6,7)],8)
[8,1,6,7,4,3,2,5]=>([(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,2)],8)
[3,5,8,7,2,4,1,6]=>([(0,7),(1,6),(2,3),(2,6),(3,4),(3,5),(3,7),(6,7)],8)
[4,2,1,3,7,8,5,6]=>([(0,5),(1,5),(2,6),(2,7),(5,6),(5,7),(6,4),(7,3)],8)
[2,4,1,3,8,7,5,6]=>([(0,7),(1,3),(1,7),(3,4),(3,5),(3,6),(6,2),(7,4),(7,5),(7,6)],8)
[2,5,8,3,1,7,4,6]=>([(0,6),(0,7),(1,3),(1,4),(3,6),(3,7),(4,2),(4,5),(4,7),(6,5)],8)
[8,6,1,3,7,2,4,5]=>([(1,6),(2,3),(2,5),(3,7),(5,6),(5,7),(7,4)],8)
[2,8,1,3,6,4,7,5]=>([(0,7),(1,3),(1,7),(4,6),(5,2),(5,6),(7,4),(7,5)],8)
[6,8,2,3,4,1,5,7]=>([(0,6),(1,4),(2,3),(2,7),(4,5),(5,6),(6,7)],8)
[5,1,8,3,2,4,6,7]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(3,5),(4,5),(5,7),(7,2)],8)
[1,4,2,7,8,6,3,5]=>([(0,3),(0,4),(2,5),(3,5),(3,6),(3,7),(4,2),(4,6),(4,7),(7,1)],8)
[1,6,2,4,8,5,3,7]=>([(0,3),(0,5),(1,7),(2,7),(3,6),(3,7),(4,2),(4,6),(5,1),(5,4)],8)
[1,6,2,4,7,5,3,8]=>([(0,3),(0,5),(1,7),(2,7),(3,6),(4,2),(4,6),(5,1),(5,4),(6,7)],8)
[1,7,3,8,5,2,4,6]=>([(0,2),(0,3),(0,4),(1,7),(2,5),(3,6),(4,1),(4,5),(4,6),(6,7)],8)
[1,7,3,2,8,6,4,5]=>([(0,2),(0,3),(0,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,1)],8)
[4,2,5,7,8,6,1,3]=>([(0,7),(1,6),(2,6),(2,7),(4,5),(7,3),(7,4)],8)
[7,2,3,1,8,5,6,4]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(6,3)],8)
[8,2,5,1,7,3,4,6]=>([(1,5),(1,6),(2,3),(2,5),(3,6),(3,7),(4,7),(5,4)],8)
[6,2,1,8,3,4,7,5]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(5,3)],8)
[6,2,8,3,5,1,7,4]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,5),(3,4),(3,6),(4,7)],8)
[6,2,4,8,5,7,1,3]=>([(0,5),(1,6),(1,7),(2,3),(2,5),(3,4),(3,7),(4,6)],8)
[1,3,6,4,8,5,7,2]=>([(0,3),(0,5),(1,6),(2,6),(2,7),(4,1),(4,7),(5,2),(5,4)],8)
[1,3,6,4,7,5,8,2]=>([(0,3),(0,5),(1,7),(2,6),(4,1),(4,6),(5,2),(5,4),(6,7)],8)
[6,2,4,7,5,8,1,3]=>([(0,7),(1,5),(2,3),(2,5),(3,4),(3,7),(4,6),(7,6)],8)
[6,2,1,3,7,8,4,5]=>([(0,7),(1,6),(2,6),(4,5),(6,4),(6,7),(7,3)],8)
[7,8,2,1,4,3,5,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(5,7),(6,7),(7,3)],8)
[7,6,4,2,3,1,8,5]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[5,7,2,3,1,6,8,4]=>([(0,5),(0,7),(1,4),(2,3),(2,7),(3,6),(4,5),(4,7),(7,6)],8)
[7,5,4,2,6,8,1,3]=>([(0,7),(1,7),(2,5),(3,6),(4,5),(4,7),(7,6)],8)
[1,7,5,3,4,6,8,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,7),(4,6),(5,1),(6,7)],8)
[8,2,5,4,6,7,1,3]=>([(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(7,5)],8)
[5,2,6,3,1,8,7,4]=>([(0,5),(0,6),(0,7),(1,4),(2,3),(2,4),(3,5),(3,6),(3,7),(4,6),(4,7)],8)
[8,2,6,4,3,1,7,5]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,7,4,1,3,5,6]=>([(1,6),(2,3),(2,4),(2,6),(4,7),(6,7),(7,5)],8)
[1,2,8,4,3,5,6,7]=>([(0,6),(3,7),(4,7),(5,2),(6,1),(6,3),(6,4),(7,5)],8)
[1,7,4,2,3,5,6,8]=>([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,6),(5,1),(7,2)],8)
[6,8,4,1,3,2,5,7]=>([(0,7),(1,3),(1,6),(2,4),(2,5),(4,7),(5,7),(7,6)],8)
[1,8,7,4,3,2,5,6]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7),(7,1)],8)
[1,6,3,8,2,4,7,5]=>([(0,2),(0,3),(0,4),(2,7),(3,5),(3,7),(4,5),(4,6),(7,1),(7,6)],8)
[5,3,8,1,2,7,4,6]=>([(0,4),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(3,6),(3,7),(6,5)],8)
[5,1,8,3,2,6,4,7]=>([(0,5),(0,7),(1,2),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(6,4),(7,4)],8)
[5,7,3,1,2,6,4,8]=>([(0,5),(0,6),(1,4),(2,3),(2,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,7,5,4,2,6,3,8]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,6),(6,7)],8)
[1,5,8,2,4,6,3,7]=>([(0,4),(0,5),(1,7),(3,6),(4,2),(4,6),(5,1),(5,3),(6,7)],8)
[1,5,8,4,2,7,3,6]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(3,7),(4,2),(4,7),(5,1),(5,6),(5,7)],8)
[1,4,6,2,8,3,7,5]=>([(0,3),(0,4),(1,5),(1,7),(2,5),(2,6),(3,2),(3,7),(4,1),(4,6)],8)
[5,3,1,6,7,2,4,8]=>([(0,7),(1,5),(1,7),(2,4),(2,7),(3,6),(4,5),(5,6),(7,3)],8)
[5,3,6,1,2,8,4,7]=>([(0,3),(1,7),(2,6),(2,7),(3,5),(3,6),(6,4),(7,4),(7,5)],8)
[1,6,3,2,7,8,4,5]=>([(0,3),(0,4),(0,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,2),(7,1)],8)
[1,7,4,5,3,8,6,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(3,7),(4,6),(4,7),(5,1)],8)
[6,3,4,1,2,5,8,7]=>([(0,5),(0,6),(1,4),(2,3),(3,7),(4,7),(7,5),(7,6)],8)
[6,3,1,4,2,7,5,8]=>([(0,7),(1,4),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[1,8,3,2,4,5,6,7]=>([(0,2),(0,3),(0,4),(3,7),(4,7),(5,1),(6,5),(7,6)],8)
[8,6,3,2,4,1,7,5]=>([(1,7),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8)
[8,5,3,2,6,7,1,4]=>([(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[4,5,2,6,8,1,7,3]=>([(0,5),(0,7),(1,5),(1,6),(2,3),(3,7),(7,4),(7,6)],8)
[4,2,5,6,7,8,1,3]=>([(0,6),(1,7),(2,6),(2,7),(3,5),(5,4),(7,3)],8)
[5,2,3,6,7,1,8,4]=>([(0,7),(1,5),(1,6),(2,4),(3,5),(4,6),(4,7),(7,3)],8)
[6,2,3,4,1,7,8,5]=>([(0,7),(1,6),(1,7),(2,3),(3,5),(5,6),(5,7),(7,4)],8)
[7,2,3,1,4,5,8,6]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(4,6),(7,4)],8)
[8,6,1,4,3,2,5,7]=>([(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(7,6)],8)
[8,3,1,6,5,2,4,7]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,7),(5,7),(6,7)],8)
[3,7,5,1,8,2,4,6]=>([(0,4),(0,7),(1,2),(1,3),(1,5),(2,7),(3,6),(3,7),(4,5),(5,6)],8)
[4,1,5,2,8,7,3,6]=>([(0,7),(1,3),(1,7),(2,6),(3,2),(3,4),(3,5),(7,4),(7,5),(7,6)],8)
[8,1,2,4,6,5,3,7]=>([(1,6),(2,7),(3,7),(4,7),(5,3),(5,4),(6,2),(6,5)],8)
[8,1,2,5,4,6,3,7]=>([(1,5),(2,7),(3,6),(4,6),(5,2),(5,3),(5,4),(6,7)],8)
[8,2,6,5,1,3,4,7]=>([(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(5,7),(6,5)],8)
[8,3,1,6,2,5,4,7]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[8,1,2,6,4,5,3,7]=>([(1,6),(2,7),(3,7),(4,7),(5,4),(6,2),(6,3),(6,5)],8)
[8,1,2,5,6,4,3,7]=>([(1,6),(2,7),(3,7),(4,7),(5,4),(6,2),(6,3),(6,5)],8)
[8,1,2,6,5,4,3,7]=>([(1,6),(2,7),(3,7),(4,7),(5,7),(6,2),(6,3),(6,4),(6,5)],8)
[1,7,5,4,2,8,3,6]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,7)],8)
[5,1,4,8,2,7,3,6]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(2,6),(3,5),(3,6),(3,7),(4,2),(4,7)],8)
[1,4,6,8,2,7,3,5]=>([(0,4),(0,5),(2,6),(3,1),(3,7),(4,2),(4,7),(5,3),(5,6)],8)
[1,4,7,6,2,8,3,5]=>([(0,4),(0,5),(1,7),(2,7),(3,6),(4,3),(4,7),(5,1),(5,2),(5,6)],8)
[5,1,4,7,2,8,3,6]=>([(0,6),(0,7),(1,3),(1,4),(2,7),(3,6),(3,7),(4,2),(4,5),(6,5)],8)
[1,7,4,5,2,8,3,6]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(2,7),(3,7),(4,2),(5,1),(5,7)],8)
[3,7,5,1,2,8,4,6]=>([(0,4),(1,2),(1,3),(1,5),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
[5,7,2,8,1,3,4,6]=>([(0,5),(1,5),(1,6),(2,3),(2,7),(3,6),(4,7),(5,4)],8)
[5,2,8,7,1,3,4,6]=>([(0,4),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(4,3)],8)
[4,1,5,8,2,7,3,6]=>([(0,7),(1,4),(1,7),(3,5),(4,3),(4,6),(7,2),(7,5),(7,6)],8)
[1,4,6,2,8,7,3,5]=>([(0,3),(0,4),(1,7),(2,5),(2,6),(3,2),(3,7),(4,1),(4,5),(4,6)],8)
[1,4,2,8,6,7,3,5]=>([(0,3),(0,4),(2,5),(3,5),(3,6),(3,7),(4,2),(4,6),(4,7),(7,1)],8)
[3,1,2,6,4,8,7,5]=>([(0,3),(1,6),(1,7),(3,6),(3,7),(6,4),(6,5),(7,2),(7,4),(7,5)],8)
[2,1,7,6,3,4,8,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,7),(4,7),(5,7),(6,2)],8)
[3,1,2,7,4,6,8,5]=>([(0,6),(0,7),(1,3),(3,6),(3,7),(4,5),(6,5),(7,2),(7,4)],8)
[1,4,7,2,6,8,3,5]=>([(0,3),(0,4),(1,7),(2,5),(3,2),(3,6),(4,1),(4,5),(4,6),(6,7)],8)
[1,2,3,6,8,5,7,4]=>([(0,5),(3,7),(4,2),(4,7),(5,6),(6,1),(6,3),(6,4)],8)
[5,1,4,2,7,8,3,6]=>([(0,6),(0,7),(1,4),(1,5),(3,6),(4,6),(4,7),(5,3),(5,7),(7,2)],8)
[1,4,2,7,6,8,3,5]=>([(0,2),(0,3),(1,5),(2,1),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[1,4,2,6,8,7,3,5]=>([(0,4),(0,5),(3,6),(4,6),(4,7),(5,3),(5,7),(7,1),(7,2)],8)
[3,1,2,8,4,6,7,5]=>([(0,6),(0,7),(1,4),(4,6),(4,7),(5,3),(7,2),(7,5)],8)
[3,1,2,7,6,4,8,5]=>([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,2),(6,7)],8)
[5,3,7,1,8,2,4,6]=>([(0,3),(0,4),(1,5),(1,7),(2,6),(2,7),(3,6),(6,5),(7,4)],8)
[1,7,4,3,2,5,8,6]=>([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,7),(5,6),(7,1),(7,6)],8)
[4,8,7,2,1,3,5,6]=>([(0,6),(1,6),(2,4),(2,5),(2,7),(6,7),(7,3)],8)
[1,8,7,3,4,2,5,6]=>([(0,3),(0,4),(0,5),(0,6),(1,7),(5,7),(6,1),(7,2)],8)
[3,1,7,8,2,6,4,5]=>([(0,5),(0,6),(0,7),(1,2),(1,7),(2,5),(2,6),(6,3),(7,4)],8)
[1,4,2,7,8,3,6,5]=>([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,2),(4,7),(7,1)],8)
[5,2,8,1,3,4,7,6]=>([(0,7),(1,4),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(7,3)],8)
[2,1,8,6,3,4,7,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(3,2),(3,4),(6,3),(7,4)],8)
[1,4,2,6,8,3,7,5]=>([(0,3),(0,4),(2,5),(2,6),(3,5),(3,7),(4,2),(4,7),(7,1),(7,6)],8)
[1,2,3,7,8,5,6,4]=>([(0,6),(4,3),(5,2),(6,7),(7,1),(7,4),(7,5)],8)
[1,2,3,7,5,8,6,4]=>([(0,5),(3,7),(4,2),(4,7),(5,6),(6,1),(6,3),(6,4)],8)
[1,4,2,7,3,8,6,5]=>([(0,1),(0,3),(1,2),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(7,6)],8)
[3,1,7,2,8,6,4,5]=>([(0,3),(0,7),(1,5),(1,6),(1,7),(3,4),(3,5),(3,6),(6,2),(7,4)],8)
[2,1,7,8,3,4,6,5]=>([(0,6),(0,7),(1,6),(1,7),(5,3),(5,4),(6,5),(7,2)],8)
[1,2,3,8,7,5,6,4]=>([(0,6),(5,4),(6,7),(7,1),(7,2),(7,3),(7,5)],8)
[4,7,8,5,6,2,1,3]=>([(0,7),(1,7),(2,5),(2,6),(5,4),(6,3)],8)
[5,7,8,4,2,6,1,3]=>([(0,7),(1,6),(2,6),(2,7),(3,4),(3,7),(4,5)],8)
[6,7,8,4,2,5,1,3]=>([(0,7),(1,6),(2,6),(2,7),(3,4),(4,5)],8)
[8,6,3,7,2,1,5,4]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7)],8)
[7,6,3,8,2,1,5,4]=>([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,7,8,3,2,1,5,4]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5)],8)
[5,7,8,3,2,1,6,4]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5)],8)
[2,7,8,4,3,5,6,1]=>([(1,3),(1,4),(1,6),(3,7),(4,7),(6,2),(7,5)],8)
[3,7,8,4,2,5,1,6]=>([(0,7),(1,6),(2,3),(2,4),(3,7),(4,5),(7,6)],8)
[4,7,8,3,2,1,5,6]=>([(0,7),(1,7),(2,7),(3,4),(3,7),(4,6),(7,5)],8)
[5,7,8,3,2,1,4,6]=>([(0,7),(1,7),(2,7),(3,4),(3,6),(4,5),(7,6)],8)
[7,6,3,8,2,1,4,5]=>([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(7,5)],8)
[8,6,3,7,2,1,4,5]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(7,5)],8)
[5,6,3,8,2,1,4,7]=>([(0,7),(1,7),(2,5),(2,7),(3,4),(4,5),(4,6),(7,6)],8)
[3,6,4,8,2,5,1,7]=>([(0,7),(1,5),(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[2,6,4,8,3,5,7,1]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(3,7),(4,5),(4,6),(6,7)],8)
[2,6,4,7,3,5,8,1]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
[3,6,4,7,2,5,1,8]=>([(0,7),(1,5),(2,3),(2,4),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,6,3,7,2,1,5,8]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,7),(4,6),(6,5),(7,5)],8)
[5,6,3,7,2,1,4,8]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(4,6),(6,5),(7,5)],8)
[8,4,3,2,1,6,5,7]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[6,4,3,2,1,7,5,8]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[4,5,3,2,7,1,6,8]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5),(7,5)],8)
[3,5,4,2,8,6,1,7]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[6,4,3,2,1,8,5,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(6,5)],8)
[7,4,3,2,1,8,5,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[8,4,3,2,1,7,5,6]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[8,4,3,2,1,7,6,5]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,4,3,2,1,8,6,5]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,4,3,2,1,8,7,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,6,3,8,2,1,7,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,7)],8)
[7,5,3,2,8,1,6,4]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,5,4,2,7,6,1,3]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7)],8)
[7,5,4,2,8,6,1,3]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7)],8)
[6,5,4,2,8,7,1,3]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7)],8)
[4,6,5,8,7,2,1,3]=>([(0,5),(1,5),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7)],8)
[2,6,5,7,8,3,4,1]=>([(1,3),(1,4),(1,6),(3,7),(4,7),(6,2),(7,5)],8)
[6,5,4,2,7,8,1,3]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(4,7),(7,5)],8)
[8,5,4,2,6,7,1,3]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(7,5)],8)
[8,5,3,2,6,1,7,4]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(7,5)],8)
[7,5,3,2,6,1,8,4]=>([(0,7),(1,6),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
[5,6,3,7,2,1,8,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(3,4),(4,5),(5,7)],8)
[4,6,3,7,2,1,8,5]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,5),(5,6)],8)
[3,6,4,7,2,8,1,5]=>([(0,7),(1,5),(1,7),(2,3),(2,4),(3,6),(4,6),(4,7),(6,5)],8)
[2,6,4,7,3,8,5,1]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(3,7),(4,5),(4,6),(6,7)],8)
[3,5,4,2,7,8,1,6]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[4,5,3,2,7,1,8,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(4,6),(4,7),(6,5)],8)
[7,4,3,2,1,6,8,5]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(7,5)],8)
[8,4,3,2,1,6,7,5]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[8,4,3,2,1,5,7,6]=>([(1,7),(2,7),(3,7),(4,7),(7,5),(7,6)],8)
[7,4,3,2,1,5,8,6]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(7,5),(7,6)],8)
[6,4,3,2,1,5,8,7]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(7,5),(7,6)],8)
[3,5,4,2,6,8,1,7]=>([(0,7),(1,6),(2,3),(2,4),(3,7),(4,7),(7,5),(7,6)],8)
[5,6,3,4,1,2,8,7]=>([(0,5),(1,4),(2,3),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,3,7,2,6,4,1]=>([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7)],8)
[8,5,7,4,2,6,3,1]=>([(2,7),(3,6),(3,7),(4,5),(4,7)],8)
[7,5,8,4,2,6,1,3]=>([(0,7),(1,6),(2,5),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,7,8,5,6,3,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(5,4),(6,3),(7,2)],8)
[6,8,3,7,5,1,4,2]=>([(0,4),(0,7),(1,3),(1,6),(2,5),(2,6),(2,7)],8)
[5,7,3,8,1,6,2,4]=>([(0,5),(0,6),(0,7),(1,4),(1,7),(2,3),(2,7),(3,5),(4,6)],8)
[3,2,6,4,8,5,1,7]=>([(0,7),(1,4),(1,6),(2,4),(2,6),(3,7),(4,5),(4,7),(6,3),(6,5)],8)
[3,2,5,8,4,6,1,7]=>([(0,4),(1,6),(1,7),(2,6),(2,7),(5,4),(6,5),(7,3),(7,5)],8)
[3,5,2,4,1,7,6,8]=>([(0,6),(0,7),(1,4),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[4,2,1,5,7,3,6,8]=>([(0,7),(1,4),(1,7),(2,4),(2,7),(3,6),(4,5),(5,6),(7,3),(7,5)],8)
[4,5,2,3,7,1,6,8]=>([(0,7),(1,4),(2,3),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[4,2,5,3,8,1,6,7]=>([(0,7),(1,5),(2,3),(2,5),(3,6),(3,7),(5,6),(5,7),(7,4)],8)
[4,2,5,8,3,1,6,7]=>([(0,7),(1,6),(2,3),(2,6),(3,7),(6,5),(6,7),(7,4)],8)
[3,1,5,4,2,8,6,7]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(7,2)],8)
[4,1,5,3,8,2,6,7]=>([(0,6),(1,2),(1,4),(1,6),(2,7),(4,5),(4,7),(6,5),(6,7),(7,3)],8)
[4,1,5,8,3,2,6,7]=>([(0,6),(1,2),(1,3),(1,6),(2,7),(3,7),(6,5),(6,7),(7,4)],8)
[4,3,8,5,2,1,6,7]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(6,7),(7,4)],8)
[4,7,3,5,2,1,6,8]=>([(0,7),(1,7),(2,5),(3,4),(3,5),(4,6),(5,7),(7,6)],8)
[4,3,2,7,5,1,6,8]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(6,5),(7,4)],8)
[4,3,6,2,5,1,7,8]=>([(0,7),(1,6),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7),(7,4)],8)
[4,6,3,2,5,1,7,8]=>([(0,7),(1,6),(2,6),(3,4),(3,6),(4,7),(6,7),(7,5)],8)
[4,6,7,1,3,2,5,8]=>([(0,5),(0,7),(1,2),(1,3),(2,7),(3,7),(4,6),(5,4),(7,6)],8)
[4,5,1,7,3,2,6,8]=>([(0,4),(1,2),(1,3),(1,5),(2,7),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[4,5,1,3,7,2,6,8]=>([(0,4),(1,2),(1,3),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[3,5,1,4,2,7,6,8]=>([(0,3),(0,4),(1,2),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[2,5,1,4,3,7,8,6]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(7,2)],8)
[5,2,1,4,3,7,8,6]=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[5,3,1,4,2,7,6,8]=>([(0,6),(0,7),(1,4),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[4,3,1,5,7,2,6,8]=>([(0,7),(1,7),(2,4),(2,7),(3,6),(4,5),(5,6),(7,3),(7,5)],8)
[4,3,1,7,5,2,6,8]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(5,4),(6,5),(7,4)],8)
[4,3,6,1,5,2,7,8]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,7),(5,7),(6,7),(7,4)],8)
[4,6,3,1,5,2,7,8]=>([(0,6),(1,4),(1,6),(2,3),(2,6),(3,7),(4,7),(6,7),(7,5)],8)
[5,3,6,4,1,2,7,8]=>([(0,6),(1,3),(2,4),(2,6),(3,7),(4,7),(6,7),(7,5)],8)
[4,3,6,1,7,2,5,8]=>([(0,4),(0,7),(1,4),(1,7),(2,3),(2,6),(3,7),(4,6),(6,5),(7,5)],8)
[6,3,4,1,2,7,5,8]=>([(0,7),(1,4),(2,3),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[6,2,4,1,3,7,8,5]=>([(0,7),(1,5),(2,3),(2,5),(3,6),(3,7),(5,6),(5,7),(7,4)],8)
[3,6,4,1,2,7,5,8]=>([(0,4),(1,2),(1,3),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[4,6,3,1,7,2,5,8]=>([(0,6),(0,7),(1,4),(1,7),(2,3),(2,6),(3,7),(4,6),(6,5),(7,5)],8)
[5,3,6,2,1,4,7,8]=>([(0,7),(1,7),(2,5),(3,5),(3,7),(5,6),(6,4),(7,6)],8)
[5,6,2,7,1,3,4,8]=>([(0,5),(1,5),(1,6),(2,4),(3,7),(4,6),(5,3),(6,7)],8)
[4,5,2,7,3,1,6,8]=>([(0,7),(1,4),(2,3),(2,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[4,6,7,2,3,1,5,8]=>([(0,7),(1,4),(2,3),(2,7),(3,5),(4,7),(5,6),(7,6)],8)
[4,6,2,1,7,3,5,8]=>([(0,4),(0,7),(1,4),(1,7),(2,3),(2,6),(3,7),(4,6),(6,5),(7,5)],8)
[3,2,6,1,4,7,5,8]=>([(0,7),(1,4),(1,7),(2,4),(2,7),(3,6),(4,5),(5,6),(7,3),(7,5)],8)
[3,6,2,1,4,7,5,8]=>([(0,7),(1,7),(2,4),(2,7),(3,6),(4,5),(5,6),(7,3),(7,5)],8)
[3,6,7,2,4,5,1,8]=>([(0,7),(1,6),(2,3),(2,6),(3,5),(4,7),(5,7),(6,4)],8)
[3,5,2,7,4,6,1,8]=>([(0,7),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6),(5,7),(6,7)],8)
[3,7,2,4,8,5,1,6]=>([(0,5),(1,6),(2,3),(2,5),(3,7),(4,6),(5,4),(5,7)],8)
[7,2,1,4,6,3,8,5]=>([(0,7),(1,4),(1,6),(2,4),(2,6),(3,7),(4,5),(4,7),(6,3),(6,5)],8)
[7,3,1,4,6,8,2,5]=>([(0,5),(1,6),(2,3),(2,5),(3,7),(4,6),(5,4),(5,7)],8)
[3,2,6,1,5,7,4,8]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(5,4),(6,5),(7,4)],8)
[3,6,2,1,5,7,4,8]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(5,4),(6,5),(7,4)],8)
[6,3,2,1,5,7,4,8]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(6,5),(7,4)],8)
[6,4,2,1,5,3,7,8]=>([(0,7),(1,6),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7),(7,4)],8)
[4,2,6,1,5,3,7,8]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7),(7,3)],8)
[4,2,1,7,5,3,6,8]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(5,4),(6,5),(7,4)],8)
[7,4,1,5,6,2,3,8]=>([(0,7),(1,6),(2,3),(2,6),(3,5),(4,7),(5,7),(6,4)],8)
[7,3,1,5,2,6,4,8]=>([(0,7),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6),(5,7),(6,7)],8)
[7,2,1,5,3,6,8,4]=>([(0,4),(1,6),(1,7),(2,6),(2,7),(5,4),(6,5),(7,3),(7,5)],8)
[6,2,5,1,3,7,8,4]=>([(0,7),(1,6),(2,3),(2,6),(3,7),(6,5),(6,7),(7,4)],8)
[6,3,5,1,2,7,4,8]=>([(0,7),(1,4),(2,3),(2,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[6,4,5,1,7,2,3,8]=>([(0,7),(1,4),(2,3),(2,7),(3,5),(4,7),(5,6),(7,6)],8)
[5,2,6,4,1,3,7,8]=>([(0,6),(1,5),(2,3),(2,5),(2,6),(3,7),(5,7),(6,7),(7,4)],8)
[4,6,5,1,7,2,3,8]=>([(0,5),(0,7),(1,2),(1,3),(2,7),(3,7),(4,6),(5,4),(7,6)],8)
[3,6,5,1,2,7,4,8]=>([(0,4),(1,2),(1,3),(1,5),(2,7),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[6,5,2,1,4,7,8,3]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(6,7),(7,4)],8)
[6,5,3,1,4,7,2,8]=>([(0,7),(1,7),(2,5),(3,4),(3,5),(4,6),(5,7),(7,6)],8)
[2,3,1,8,5,4,7,6]=>([(0,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8)
[2,4,1,5,8,3,7,6]=>([(0,3),(0,7),(1,6),(1,7),(3,6),(6,2),(6,4),(6,5),(7,4),(7,5)],8)
[2,4,1,5,3,8,7,6]=>([(0,2),(0,7),(1,6),(1,7),(2,6),(6,3),(6,4),(6,5),(7,3),(7,4),(7,5)],8)
[3,4,5,1,2,8,7,6]=>([(0,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,2)],8)
[3,4,5,1,8,2,7,6]=>([(0,3),(0,7),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(4,2)],8)
[3,4,5,8,2,1,7,6]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,5),(5,4),(5,6),(5,7)],8)
[3,4,5,2,8,1,7,6]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(4,5),(4,6),(4,7)],8)
[3,4,6,2,1,7,8,5]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,5),(3,7),(5,6),(6,4)],8)
[3,4,6,2,1,7,5,8]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,4),(3,7),(4,6),(6,5),(7,5)],8)
[3,5,6,2,7,1,4,8]=>([(0,7),(1,5),(1,7),(2,3),(2,7),(3,4),(4,5),(5,6),(7,6)],8)
[3,5,6,2,7,1,8,4]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,7),(3,4),(4,5),(5,6)],8)
[3,5,6,2,7,8,1,4]=>([(0,7),(1,6),(1,7),(2,3),(2,7),(3,5),(5,6),(6,4)],8)
[2,4,8,6,3,7,1,5]=>([(0,7),(1,4),(1,5),(3,6),(4,6),(4,7),(5,2),(5,3),(5,7)],8)
[1,8,4,6,3,7,2,5]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,7),(4,6),(4,7),(5,1),(5,7)],8)
[3,4,6,8,2,7,5,1]=>([(1,3),(2,6),(2,7),(3,5),(3,6),(5,4),(5,7)],8)
[3,4,6,2,8,7,5,1]=>([(1,5),(1,6),(1,7),(2,3),(3,4),(3,7),(4,5),(4,6)],8)
[3,5,6,2,7,8,4,1]=>([(1,6),(1,7),(2,4),(2,6),(4,5),(5,7),(7,3)],8)
[3,5,6,2,7,4,1,8]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6),(5,7),(6,7)],8)
[4,5,6,7,2,8,3,1]=>([(1,6),(2,4),(2,7),(3,7),(5,3),(6,5)],8)
[3,5,6,8,7,2,4,1]=>([(1,7),(2,5),(2,7),(5,6),(6,3),(6,4)],8)
[2,5,8,6,7,3,4,1]=>([(1,6),(1,7),(5,4),(6,2),(7,3),(7,5)],8)
[2,5,8,6,7,3,1,4]=>([(0,7),(1,4),(1,6),(4,7),(5,3),(6,2),(6,5)],8)
[3,5,6,8,7,2,1,4]=>([(0,7),(1,7),(2,5),(2,7),(5,6),(6,3),(6,4)],8)
[4,5,6,7,2,1,8,3]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,5),(4,7),(5,4)],8)
[2,3,1,8,6,7,4,5]=>([(0,5),(0,6),(0,7),(1,2),(2,5),(2,6),(2,7),(6,4),(7,3)],8)
[1,8,3,2,6,7,5,4]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,1)],8)
[2,5,1,6,7,8,4,3]=>([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(3,5),(4,2),(5,4)],8)
[2,5,1,6,7,4,8,3]=>([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(2,5),(3,4),(4,2),(7,5)],8)
[2,5,1,6,7,4,3,8]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(3,4),(4,2),(5,7),(6,7)],8)
[3,5,6,1,7,4,2,8]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,5),(3,7),(4,2),(5,7),(6,7)],8)
[3,5,6,1,7,4,8,2]=>([(0,3),(0,6),(0,7),(1,4),(1,7),(2,6),(4,2),(6,5),(7,5)],8)
[3,4,6,8,1,7,5,2]=>([(0,5),(1,3),(1,6),(1,7),(4,2),(4,7),(5,4),(5,6)],8)
[2,4,8,6,1,7,5,3]=>([(0,5),(0,6),(0,7),(1,4),(1,7),(3,5),(4,2),(4,3),(4,6)],8)
[3,5,6,8,7,1,4,2]=>([(0,4),(0,7),(1,5),(1,7),(5,6),(6,2),(6,3)],8)
[4,5,6,7,8,1,3,2]=>([(0,7),(1,3),(1,4),(5,6),(6,2),(7,5)],8)
[4,5,6,7,1,3,8,2]=>([(0,6),(1,2),(1,4),(3,7),(4,7),(5,3),(6,5)],8)
[4,5,6,7,1,3,2,8]=>([(0,6),(1,3),(1,4),(2,7),(3,7),(4,7),(5,2),(6,5)],8)
[4,5,6,7,3,1,8,2]=>([(0,7),(1,6),(2,4),(2,7),(3,7),(5,3),(6,5)],8)
[3,5,6,8,7,4,1,2]=>([(0,5),(1,4),(1,6),(6,7),(7,2),(7,3)],8)
[2,5,8,6,7,4,1,3]=>([(0,7),(1,4),(1,6),(1,7),(5,3),(6,2),(6,5)],8)
[1,8,5,6,7,4,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,7),(6,1),(7,6)],8)
[2,5,8,6,7,4,3,1]=>([(1,4),(1,5),(1,7),(6,3),(7,2),(7,6)],8)
[8,2,5,3,7,1,6,4]=>([(1,5),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,2,4,3,7,1,6,5]=>([(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,8,2,4,3,7,1,6]=>([(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,5,6,1,8,3,7]=>([(0,5),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(5,3),(7,4)],8)
[4,2,5,6,1,7,3,8]=>([(0,5),(1,5),(1,7),(2,6),(2,7),(3,6),(5,3),(6,4),(7,4)],8)
[6,1,5,7,3,2,4,8]=>([(0,7),(1,2),(1,3),(1,4),(2,7),(3,5),(4,5),(5,6),(7,6)],8)
[6,1,5,8,3,2,4,7]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(4,5),(5,7)],8)
[3,8,2,4,7,1,5,6]=>([(0,7),(1,6),(2,3),(2,6),(6,4),(6,7),(7,5)],8)
[3,6,8,2,4,7,1,5]=>([(0,6),(1,5),(2,3),(2,5),(3,4),(3,7),(5,6),(5,7)],8)
[4,3,5,6,7,1,8,2]=>([(0,7),(1,7),(2,3),(2,6),(4,5),(5,6),(7,4)],8)
[3,7,1,5,6,8,2,4]=>([(0,3),(0,7),(1,4),(1,6),(1,7),(2,5),(3,6),(4,5),(7,2)],8)
[3,7,1,5,8,2,4,6]=>([(0,3),(0,7),(1,2),(1,6),(1,7),(2,5),(3,6),(6,4),(7,4),(7,5)],8)
[8,3,2,4,6,1,5,7]=>([(1,6),(2,6),(3,5),(4,7),(5,7),(6,4),(6,5)],8)
[7,3,2,4,6,1,5,8]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(5,7),(6,4),(6,5)],8)
[3,2,5,1,7,4,6,8]=>([(0,5),(0,7),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4)],8)
[3,2,5,1,8,4,6,7]=>([(0,5),(0,7),(1,4),(1,7),(2,4),(2,7),(4,5),(4,6),(6,3),(7,6)],8)
[3,2,5,1,7,8,4,6]=>([(0,6),(0,7),(1,4),(1,7),(2,4),(2,7),(4,5),(4,6),(6,3),(7,5)],8)
[7,8,3,2,4,6,1,5]=>([(0,7),(1,7),(2,6),(3,5),(7,4),(7,6)],8)
[6,1,5,7,8,3,2,4]=>([(0,7),(1,3),(1,4),(1,5),(3,7),(4,6),(5,6),(7,2)],8)
[4,2,5,6,1,7,8,3]=>([(0,6),(1,5),(1,6),(2,5),(2,7),(3,7),(6,3),(7,4)],8)
[5,7,6,1,8,3,4,2]=>([(0,4),(0,5),(1,3),(1,6),(1,7),(4,7),(5,7),(6,2)],8)
[5,8,6,1,7,3,4,2]=>([(0,3),(0,5),(1,4),(1,6),(1,7),(5,7),(6,2)],8)
[6,1,5,8,7,3,2,4]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(3,5),(4,6),(4,7)],8)
[8,7,3,2,4,6,1,5]=>([(2,7),(3,7),(4,6),(7,5),(7,6)],8)
[3,2,5,1,8,7,4,6]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(6,3),(6,4),(6,5),(7,5)],8)
[3,2,5,1,6,4,7,8]=>([(0,5),(0,7),(1,4),(1,7),(2,4),(2,7),(4,5),(5,6),(6,3),(7,6)],8)
[3,2,4,1,8,7,5,6]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(6,3),(7,4),(7,5),(7,6)],8)
[3,2,5,1,6,8,7,4]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(5,6),(6,3),(6,4)],8)
[3,8,6,5,1,7,4,2]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(3,7),(4,7)],8)
[3,7,6,5,1,8,4,2]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7)],8)
[6,5,1,7,8,4,2,3]=>([(0,7),(1,7),(2,4),(2,6),(2,7),(6,3),(7,5)],8)
[3,2,5,1,6,7,8,4]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(5,6),(6,3)],8)
[3,2,4,1,8,5,6,7]=>([(0,6),(0,7),(1,5),(2,5),(3,4),(5,6),(5,7),(7,3)],8)
[3,2,4,1,7,5,6,8]=>([(0,7),(1,7),(2,4),(2,6),(3,5),(4,3),(6,5),(7,4),(7,6)],8)
[3,2,4,1,6,8,5,7]=>([(0,7),(1,7),(2,5),(2,6),(5,4),(6,3),(6,4),(7,5),(7,6)],8)
[3,2,4,1,8,5,7,6]=>([(0,6),(0,7),(1,5),(2,5),(5,6),(5,7),(7,3),(7,4)],8)
[8,3,2,4,7,6,1,5]=>([(1,7),(2,7),(3,6),(7,4),(7,5),(7,6)],8)
[3,2,5,1,8,4,7,6]=>([(0,5),(0,7),(1,6),(1,7),(2,6),(2,7),(6,3),(6,4),(6,5),(7,3),(7,4)],8)
[3,2,5,1,6,7,4,8]=>([(0,5),(0,7),(1,4),(1,7),(2,4),(2,7),(3,6),(4,5),(5,3),(7,6)],8)
[6,5,1,7,4,2,3,8]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(5,7),(6,7)],8)
[6,5,1,8,4,2,3,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(3,5),(4,7),(5,7)],8)
[8,4,2,3,7,5,1,6]=>([(1,5),(2,6),(2,7),(3,4),(4,6),(4,7),(7,5)],8)
[4,2,6,1,8,3,7,5]=>([(0,5),(0,7),(1,4),(1,6),(2,6),(2,7),(6,3),(6,5),(7,3),(7,4)],8)
[5,2,6,1,8,3,7,4]=>([(0,7),(1,5),(1,6),(2,6),(2,7),(6,3),(6,4),(7,4),(7,5)],8)
[8,4,6,1,7,3,5,2]=>([(1,5),(1,7),(2,3),(2,4),(2,6),(4,7),(5,6)],8)
[5,2,6,1,8,4,7,3]=>([(0,7),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(6,3),(7,3),(7,4)],8)
[7,4,2,3,8,5,1,6]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(6,5)],8)
[8,5,1,6,4,2,3,7]=>([(1,6),(2,3),(2,4),(2,6),(3,5),(4,7),(5,7),(6,7)],8)
[7,5,1,6,4,2,3,8]=>([(0,7),(1,6),(2,3),(2,4),(2,6),(3,5),(4,7),(5,7),(6,7)],8)
[3,2,5,1,7,6,4,8]=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[3,2,5,1,8,6,4,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(5,4),(6,3),(6,5),(7,4)],8)
[7,3,2,4,8,6,1,5]=>([(0,7),(1,7),(2,6),(3,5),(7,4),(7,5),(7,6)],8)
[8,6,1,5,7,3,2,4]=>([(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6)],8)
[4,2,6,1,8,5,7,3]=>([(0,6),(0,7),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4),(7,3)],8)
[8,5,6,1,7,3,4,2]=>([(1,5),(2,4),(2,6),(2,7),(5,7),(6,3)],8)
[3,6,8,5,1,7,4,2]=>([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(3,7),(5,2),(5,7)],8)
[8,5,1,6,7,4,2,3]=>([(1,7),(2,4),(2,6),(2,7),(6,3),(7,5)],8)
[3,2,5,1,8,6,7,4]=>([(0,5),(0,6),(0,7),(1,4),(1,7),(2,4),(2,7),(4,5),(4,6),(6,3)],8)
[3,2,4,1,8,6,5,7]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,4),(7,5),(7,6)],8)
[3,2,4,1,5,8,6,7]=>([(0,7),(1,6),(2,6),(4,5),(6,7),(7,3),(7,4)],8)
[3,2,5,1,7,8,6,4]=>([(0,5),(0,6),(0,7),(1,4),(1,7),(2,4),(2,7),(4,5),(4,6),(6,3)],8)
[7,8,5,1,6,4,2,3]=>([(0,7),(1,5),(2,4),(2,6),(2,7),(6,3)],8)
[3,8,5,1,7,6,4,2]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,7),(3,5),(3,6)],8)
[3,7,5,1,8,6,4,2]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(2,7),(3,5),(3,7)],8)
[8,7,5,1,6,4,2,3]=>([(2,7),(3,4),(3,5),(3,7),(5,6)],8)
[3,2,5,1,8,7,6,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(6,3),(6,4),(6,5)],8)
[6,5,7,3,1,8,4,2]=>([(0,6),(1,6),(2,5),(2,7),(3,4),(3,5),(3,7),(6,7)],8)
[4,6,3,7,1,8,5,2]=>([(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,7),(4,6),(6,5)],8)
[4,6,3,7,5,1,8,2]=>([(0,5),(0,6),(1,3),(1,7),(2,4),(2,5),(4,6),(5,7),(6,7)],8)
[4,2,6,1,7,5,3,8]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(5,7),(6,7)],8)
[2,5,7,4,1,6,3,8]=>([(0,5),(0,7),(1,2),(1,4),(1,5),(2,7),(3,6),(4,3),(4,7),(5,6),(7,6)],8)
[2,5,7,4,1,6,8,3]=>([(0,6),(0,7),(1,2),(1,4),(1,6),(2,7),(3,5),(4,3),(4,7),(7,5)],8)
[5,4,7,3,6,1,8,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,7,8,3,1,6,2]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(6,5)],8)
[4,3,7,5,1,8,6,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(2,7),(4,7),(5,6),(5,7)],8)
[6,4,3,8,5,1,7,2]=>([(0,6),(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(5,7)],8)
[5,8,4,3,6,1,7,2]=>([(0,7),(1,7),(2,5),(2,7),(3,4),(3,6),(7,6)],8)
[5,4,8,3,6,1,7,2]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(7,6)],8)
[5,4,3,6,7,1,8,2]=>([(0,7),(1,7),(2,7),(3,4),(3,6),(5,6),(7,5)],8)
[2,5,4,6,1,7,3,8]=>([(0,2),(0,3),(0,7),(1,5),(1,7),(2,6),(3,6),(5,4),(6,5),(7,4)],8)
[3,2,5,8,1,6,7,4]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(5,3),(5,6),(6,4)],8)
[2,5,4,6,8,1,7,3]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(3,7),(4,7),(7,2),(7,5)],8)
[5,2,8,4,1,6,7,3]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,5),(2,6),(3,7),(7,4)],8)
[4,6,2,1,8,5,7,3]=>([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(3,5),(3,7),(6,5)],8)
[2,4,1,7,5,8,6,3]=>([(0,3),(0,5),(1,5),(1,6),(1,7),(3,6),(3,7),(6,4),(7,2),(7,4)],8)
[2,4,1,7,5,3,8,6]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(4,7),(5,3),(5,7),(6,3),(6,7)],8)
[2,6,4,1,8,5,3,7]=>([(0,4),(0,5),(0,7),(1,2),(1,3),(1,4),(2,5),(2,7),(3,6),(3,7),(4,6),(5,6)],8)
[5,4,8,2,1,6,3,7]=>([(0,4),(0,7),(1,4),(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(7,6)],8)
[2,5,8,4,1,6,3,7]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(3,7),(4,2),(4,7),(6,5),(7,5)],8)
[3,2,5,6,1,8,4,7]=>([(0,4),(0,7),(1,4),(1,7),(2,5),(2,7),(3,5),(3,6),(4,3),(7,6)],8)
[4,8,3,2,6,1,5,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(6,5),(7,5)],8)
[3,5,2,8,1,6,4,7]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(3,5),(3,7),(6,4),(7,4)],8)
[3,2,1,6,8,5,4,7]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(5,4),(6,4),(7,3),(7,4)],8)
[3,2,7,1,5,4,8,6]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(5,4),(5,7),(6,4),(6,7)],8)
[3,2,7,1,5,8,6,4]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(4,5),(7,3),(7,5)],8)
[3,8,2,5,1,6,7,4]=>([(0,6),(0,7),(1,5),(1,7),(2,4),(2,5),(2,7),(5,6),(6,3)],8)
[4,8,3,2,6,7,1,5]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(6,5)],8)
[4,3,8,2,6,7,1,5]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4)],8)
[4,3,2,6,7,8,1,5]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(6,4)],8)
[4,3,2,6,7,1,5,8]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(6,4),(7,5)],8)
[4,3,7,2,6,8,1,5]=>([(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(6,5)],8)
[4,3,7,8,2,6,1,5]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4)],8)
[2,5,7,4,8,1,6,3]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(2,5),(3,5),(3,7),(4,2),(4,7)],8)
[3,2,5,7,8,1,6,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(6,3),(6,5)],8)
[3,2,5,7,1,6,8,4]=>([(0,5),(0,7),(1,5),(1,7),(2,4),(2,7),(3,6),(4,6),(5,3),(5,4)],8)
[3,2,5,7,1,6,4,8]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,7),(4,7),(5,3),(5,4),(6,7)],8)
[6,3,2,7,1,5,4,8]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[6,3,2,7,1,5,8,4]=>([(0,6),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[6,3,2,7,8,1,5,4]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[4,2,6,1,7,8,5,3]=>([(0,5),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(5,6),(6,3)],8)
[6,5,2,1,7,8,4,3]=>([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[2,1,7,5,3,8,6,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,7),(5,3),(5,7),(6,2),(6,3),(6,7)],8)
[6,2,1,8,5,3,7,4]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,3),(5,7)],8)
[6,3,2,7,1,4,8,5]=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4),(7,5)],8)
[6,3,2,1,4,7,8,5]=>([(0,7),(1,7),(2,7),(3,6),(6,5),(7,4),(7,6)],8)
[6,3,2,1,4,7,5,8]=>([(0,7),(1,7),(2,7),(3,5),(4,6),(5,6),(7,4),(7,5)],8)
[3,5,2,1,7,4,6,8]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(3,5),(3,7),(5,4),(6,5),(7,4)],8)
[3,5,2,1,7,8,4,6]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,6),(4,5),(4,7),(6,5),(7,3)],8)
[5,8,4,2,1,7,3,6]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(5,6)],8)
[4,6,2,1,8,3,7,5]=>([(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(3,6),(3,7),(4,5),(4,6)],8)
[2,4,1,7,3,8,6,5]=>([(0,2),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(6,3),(7,3),(7,4),(7,5)],8)
[3,2,7,1,4,8,6,5]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(5,6),(7,3),(7,4),(7,6)],8)
[3,5,8,2,1,7,4,6]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(3,4),(3,5),(3,7),(6,5)],8)
[4,8,3,7,2,1,5,6]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(7,5)],8)
[4,3,7,2,8,1,5,6]=>([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(7,4)],8)
[4,3,7,2,1,5,6,8]=>([(0,7),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,6),(7,4)],8)
[4,8,3,2,7,1,5,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(7,5)],8)
[3,5,2,8,1,7,4,6]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(3,4),(3,5),(3,7),(6,5)],8)
[6,3,2,8,1,4,7,5]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(7,4),(7,5)],8)
[3,2,1,4,7,5,8,6]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(7,3),(7,4)],8)
[5,3,2,1,8,4,6,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(5,4),(6,5)],8)
[4,8,3,2,1,5,6,7]=>([(0,7),(1,7),(2,7),(3,4),(3,7),(5,6),(7,5)],8)
[4,3,8,2,1,5,6,7]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(7,4)],8)
[6,2,3,1,5,4,8,7]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,5,2,3,1,7,6]=>([(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,7,2,5,3,4,1]=>([(2,5),(3,4),(3,6),(6,7)],8)
[8,2,5,3,4,1,7,6]=>([(1,6),(1,7),(2,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,5,3,4,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,5,2,4,3,8,7]=>([(0,6),(0,7),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3)],8)
[6,4,5,1,3,2,8,7]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,5,3,4,2,8,7]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[6,3,5,1,4,2,8,7]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,5,2,4,1,7,6]=>([(1,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,7,5,6,2,4,1]=>([(2,7),(3,4),(3,5),(3,7),(5,6)],8)
[8,3,7,2,4,1,6,5]=>([(1,5),(2,6),(2,7),(3,4),(3,5),(5,6),(5,7)],8)
[8,3,5,1,4,2,7,6]=>([(1,4),(1,5),(2,3),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,5,3,4,2,7,6]=>([(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[8,4,5,1,3,2,7,6]=>([(1,5),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,8,4,5,3,7,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(6,2),(7,3),(7,4)],8)
[8,6,7,4,5,1,3,2]=>([(1,5),(2,4),(3,6),(3,7)],8)
[8,6,7,1,5,3,4,2]=>([(1,6),(2,4),(2,5),(2,7),(7,3)],8)
[8,6,7,3,5,1,4,2]=>([(1,6),(2,5),(2,7),(3,4),(3,7)],8)
[8,3,7,5,6,1,4,2]=>([(1,5),(1,7),(2,4),(2,6),(2,7),(6,3)],8)
[8,5,7,3,6,1,4,2]=>([(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8)
[8,3,7,4,6,2,5,1]=>([(2,7),(3,4),(3,5),(5,6),(5,7)],8)
[8,3,7,4,6,1,5,2]=>([(1,5),(1,7),(2,4),(2,6),(6,3),(6,7)],8)
[8,3,7,1,6,4,5,2]=>([(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(7,5)],8)
[8,1,7,3,6,4,5,2]=>([(1,4),(1,5),(1,7),(6,3),(7,2),(7,6)],8)
[8,1,7,5,6,3,4,2]=>([(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8)
[8,4,7,5,6,1,3,2]=>([(1,4),(1,5),(2,6),(2,7),(7,3)],8)
[2,1,8,4,7,5,6,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(7,2),(7,4)],8)
[8,1,7,3,4,2,6,5]=>([(1,2),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3)],8)
[8,1,7,3,6,2,5,4]=>([(1,3),(1,4),(1,5),(4,6),(4,7),(5,2),(5,6),(5,7)],8)
[8,3,7,1,6,2,5,4]=>([(1,4),(1,5),(2,3),(2,5),(2,6),(2,7),(4,6),(4,7)],8)
[8,3,7,2,6,4,5,1]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[8,2,7,3,6,4,5,1]=>([(2,5),(2,7),(6,4),(7,3),(7,6)],8)
[8,2,7,3,6,1,5,4]=>([(1,6),(1,7),(2,3),(2,4),(4,5),(4,6),(4,7)],8)
[8,2,7,1,6,3,5,4]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(7,3),(7,4)],8)
[8,1,7,2,4,3,6,5]=>([(1,2),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3),(5,4)],8)
[8,1,3,2,7,4,6,5]=>([(1,4),(1,5),(4,6),(4,7),(5,6),(5,7),(7,2),(7,3)],8)
[2,1,8,3,7,4,6,5]=>([(0,6),(0,7),(1,6),(1,7),(5,3),(5,4),(7,2),(7,5)],8)
[8,1,5,2,4,3,7,6]=>([(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3)],8)
[8,2,7,1,4,3,6,5]=>([(1,6),(1,7),(2,3),(2,6),(2,7),(6,4),(6,5),(7,4),(7,5)],8)
[8,2,7,3,4,1,6,5]=>([(1,6),(1,7),(2,3),(2,4),(4,5),(5,6),(5,7)],8)
[8,2,7,5,6,3,4,1]=>([(2,5),(2,6),(2,7),(6,4),(7,3)],8)
[8,4,7,5,6,2,3,1]=>([(2,5),(3,4),(3,6),(6,7)],8)
[8,4,7,2,3,1,6,5]=>([(1,6),(1,7),(2,5),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
[8,2,3,1,7,4,6,5]=>([(1,6),(1,7),(2,5),(5,6),(5,7),(7,3),(7,4)],8)
[8,2,3,1,5,4,7,6]=>([(1,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[4,2,3,1,8,5,7,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(5,6),(5,7),(7,3),(7,4)],8)
[4,1,3,2,8,6,7,5]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,2)],8)
[8,6,7,2,3,1,5,4]=>([(1,6),(1,7),(2,4),(3,5),(5,6),(5,7)],8)
[8,2,3,1,7,5,6,4]=>([(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)
[8,5,7,2,6,3,4,1]=>([(2,4),(2,7),(3,5),(3,7),(5,6)],8)
[8,5,7,2,6,1,4,3]=>([(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,7)],8)
[8,2,7,5,6,1,4,3]=>([(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(4,5)],8)
[8,6,7,2,5,1,4,3]=>([(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8)
[8,6,7,1,5,2,4,3]=>([(1,6),(2,5),(2,7),(7,3),(7,4)],8)
[8,6,7,1,3,2,5,4]=>([(1,3),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,8,6,7,3,5,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(6,4),(7,2),(7,3)],8)
[2,1,8,3,7,5,6,4]=>([(0,6),(0,7),(1,6),(1,7),(5,4),(7,2),(7,3),(7,5)],8)
[8,1,3,2,7,5,6,4]=>([(1,3),(1,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,2)],8)
[8,1,7,5,6,2,4,3]=>([(1,5),(1,6),(1,7),(6,4),(7,2),(7,3)],8)
[8,1,7,2,6,4,5,3]=>([(1,5),(1,7),(6,4),(7,2),(7,3),(7,6)],8)
[8,2,7,1,6,4,5,3]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[8,2,7,4,6,1,5,3]=>([(1,6),(1,7),(2,3),(2,4),(2,6),(4,5),(4,7)],8)
[8,2,7,4,6,3,5,1]=>([(2,4),(2,5),(2,6),(5,7),(6,3),(6,7)],8)
[8,4,7,2,6,3,5,1]=>([(2,5),(2,6),(3,4),(3,6),(3,7),(5,7)],8)
[8,4,7,2,6,1,5,3]=>([(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)
[8,4,7,1,6,2,5,3]=>([(1,4),(1,6),(2,3),(2,6),(2,7),(4,5),(4,7)],8)
[8,1,7,4,6,2,5,3]=>([(1,4),(1,5),(1,6),(5,3),(5,7),(6,2),(6,7)],8)
[8,5,7,1,6,2,4,3]=>([(1,5),(1,7),(2,6),(2,7),(6,3),(6,4)],8)
[2,1,8,5,7,3,6,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(6,3),(6,4),(7,2),(7,4)],8)
[8,5,7,4,6,1,3,2]=>([(1,7),(2,6),(2,7),(3,4),(3,5)],8)
[8,5,7,1,6,3,4,2]=>([(1,5),(1,7),(2,4),(2,6),(2,7),(6,3)],8)
[8,1,7,4,6,3,5,2]=>([(1,3),(1,4),(1,5),(1,6),(5,7),(6,2),(6,7)],8)
[8,4,7,1,6,3,5,2]=>([(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(5,7)],8)
[8,4,7,3,6,1,5,2]=>([(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7)],8)
[2,4,8,3,6,1,7,5]=>([(0,6),(0,7),(1,3),(1,4),(3,5),(3,7),(4,2),(4,5),(4,7),(5,6)],8)
[6,5,8,1,3,2,7,4]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7)],8)
[4,5,8,6,3,2,7,1]=>([(1,4),(2,7),(3,7),(4,5),(4,6),(6,7)],8)
[6,5,8,7,3,1,2,4]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(4,7)],8)
[1,5,8,7,3,6,2,4]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(4,7),(5,1),(5,2),(5,7)],8)
[1,7,2,8,4,6,5,3]=>([(0,4),(0,6),(4,7),(5,2),(5,3),(6,1),(6,5),(6,7)],8)
[6,7,2,8,4,1,5,3]=>([(0,5),(0,7),(1,3),(2,4),(2,5),(2,6),(3,6),(4,7)],8)
[3,6,2,8,4,5,7,1]=>([(1,5),(1,6),(2,3),(2,5),(3,6),(3,7),(4,7),(5,4)],8)
[2,6,1,8,4,5,7,3]=>([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(2,5),(3,4),(3,5),(7,2)],8)
[2,8,4,6,1,5,7,3]=>([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(4,2),(4,6),(6,5)],8)
[6,3,1,8,4,5,7,2]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,5),(2,7),(4,6),(5,4)],8)
[3,1,6,8,4,5,7,2]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(4,5),(6,4),(7,3),(7,5)],8)
[2,3,6,8,4,5,7,1]=>([(1,6),(3,7),(4,3),(5,2),(5,7),(6,4),(6,5)],8)
[6,3,7,8,4,1,5,2]=>([(0,6),(1,3),(1,7),(2,4),(2,6),(4,7),(6,5)],8)
[1,3,7,8,4,6,5,2]=>([(0,4),(0,7),(5,3),(6,1),(6,2),(7,5),(7,6)],8)
[1,5,7,8,2,4,6,3]=>([(0,5),(0,6),(3,7),(4,2),(5,4),(5,7),(6,1),(6,3)],8)
[5,1,7,8,2,4,6,3]=>([(0,6),(0,7),(1,5),(1,7),(4,6),(5,3),(5,4),(7,2)],8)
[3,6,7,8,4,2,5,1]=>([(1,7),(2,4),(2,6),(4,7),(5,3),(6,5)],8)
[7,6,1,8,4,2,5,3]=>([(0,7),(1,7),(2,3),(2,4),(2,7),(3,6),(4,5),(4,6)],8)
[5,6,8,7,3,2,1,4]=>([(0,4),(1,7),(2,7),(3,7),(4,5),(4,6)],8)
[2,8,3,7,1,6,5,4]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(4,2),(4,5),(4,6),(4,7)],8)
[5,2,8,7,3,6,1,4]=>([(0,7),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(3,7)],8)
[7,2,1,8,4,6,5,3]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4)],8)
[3,2,7,8,4,6,5,1]=>([(1,6),(1,7),(2,6),(2,7),(6,5),(7,3),(7,4)],8)
[5,2,7,8,1,4,6,3]=>([(0,4),(0,6),(1,5),(1,7),(2,5),(2,6),(2,7),(6,3),(7,4)],8)
[1,2,7,8,5,4,6,3]=>([(0,6),(3,7),(4,7),(5,2),(6,1),(6,3),(6,4),(6,5)],8)
[4,2,1,3,8,5,6,7]=>([(0,6),(0,7),(1,5),(2,5),(3,4),(5,6),(5,7),(7,3)],8)
[7,2,5,8,3,4,6,1]=>([(1,6),(2,3),(2,4),(3,5),(4,6),(4,7),(5,7)],8)
[6,2,8,5,4,3,1,7]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7)],8)
[2,8,3,5,4,1,6,7]=>([(0,7),(1,2),(1,6),(3,7),(4,7),(6,3),(6,4),(7,5)],8)
[2,8,4,5,3,1,6,7]=>([(0,7),(1,2),(1,4),(1,6),(3,7),(4,7),(6,3),(7,5)],8)
[6,4,8,5,2,3,1,7]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(4,7),(5,7)],8)
[7,3,5,8,2,4,6,1]=>([(1,5),(2,6),(3,4),(3,5),(4,6),(4,7),(5,7)],8)
[4,3,1,2,8,5,6,7]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(3,5),(4,6),(4,7),(7,3)],8)
[3,4,2,1,8,5,6,7]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(3,5),(4,6),(4,7),(7,3)],8)
[2,7,6,8,4,3,5,1]=>([(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(5,6)],8)
[5,7,1,8,3,4,6,2]=>([(0,4),(0,7),(1,3),(1,5),(1,6),(2,7),(4,6),(5,2)],8)
[3,7,5,8,1,4,6,2]=>([(0,4),(0,7),(1,2),(1,3),(1,7),(2,5),(3,5),(3,6),(7,6)],8)
[1,7,5,8,3,4,6,2]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(3,6),(4,6),(4,7),(5,1)],8)
[1,6,8,5,4,3,2,7]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(2,7),(3,7),(4,7),(5,7),(6,1),(6,7)],8)
[4,6,8,5,1,3,2,7]=>([(0,3),(0,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,2),(6,7)],8)
[5,6,8,1,4,3,2,7]=>([(0,6),(1,3),(1,4),(1,5),(3,7),(4,7),(5,7),(6,2),(6,7)],8)
[7,5,8,6,3,4,2,1]=>([(2,7),(3,6),(4,5),(4,7)],8)
[2,4,8,3,6,5,1,7]=>([(0,7),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6),(5,7),(6,7)],8)
[2,8,4,1,5,6,3,7]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(3,7),(4,5),(6,5),(7,4)],8)
[4,1,8,3,5,6,2,7]=>([(0,6),(0,7),(1,2),(1,4),(1,6),(2,7),(3,5),(4,5),(7,3)],8)
[5,6,8,4,1,3,2,7]=>([(0,7),(1,6),(2,4),(2,5),(4,7),(5,7),(6,3),(6,7)],8)
[4,6,8,1,5,3,2,7]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(3,7),(4,7),(5,2),(5,7),(6,7)],8)
[1,6,8,4,5,3,2,7]=>([(0,3),(0,4),(0,5),(0,6),(2,7),(3,7),(4,7),(5,2),(6,1),(6,7)],8)
[1,7,3,8,5,4,6,2]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(4,7),(5,1),(5,2),(5,7)],8)
[3,7,1,8,5,4,6,2]=>([(0,3),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(3,5),(6,4),(7,4)],8)
[2,7,3,8,4,6,5,1]=>([(1,4),(1,5),(4,7),(5,6),(5,7),(6,2),(6,3)],8)
[7,1,3,8,4,6,5,2]=>([(0,7),(1,4),(1,5),(5,6),(5,7),(6,2),(6,3)],8)
[5,7,8,4,3,6,1,2]=>([(0,7),(1,7),(2,4),(3,5),(3,7),(5,6)],8)
[2,8,7,4,1,6,5,3]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(4,5),(4,6)],8)
[2,8,5,4,3,1,6,7]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(3,7),(4,7),(5,7),(7,6)],8)
[6,5,8,4,2,3,1,7]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,7)],8)
[4,1,3,2,8,5,6,7]=>([(0,6),(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(5,2),(7,5)],8)
[1,4,3,2,8,5,6,7]=>([(0,2),(0,3),(0,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(7,5)],8)
[7,3,2,8,5,4,6,1]=>([(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
[6,4,8,2,5,3,1,7]=>([(0,7),(1,5),(1,7),(2,5),(2,6),(3,4),(3,6),(4,7),(6,7)],8)
[2,8,4,3,5,1,6,7]=>([(0,7),(1,3),(1,4),(1,5),(4,6),(5,6),(6,7),(7,2)],8)
[2,8,3,4,5,1,6,7]=>([(0,7),(1,2),(1,6),(3,7),(5,3),(6,5),(7,4)],8)
[6,2,8,4,5,3,1,7]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(3,5),(4,7),(5,7)],8)
[7,2,3,8,5,4,6,1]=>([(1,3),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[4,2,3,1,8,5,6,7]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(3,5),(4,6),(4,7),(7,3)],8)
[3,2,1,4,8,5,6,7]=>([(0,7),(1,7),(2,7),(5,3),(6,5),(7,4),(7,6)],8)
[5,1,3,2,4,8,6,7]=>([(0,6),(0,7),(1,3),(1,4),(3,5),(4,5),(5,6),(5,7),(7,2)],8)
[2,8,1,5,3,4,7,6]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(3,4),(3,5),(6,3),(7,4),(7,5)],8)
[1,2,8,4,5,3,7,6]=>([(0,5),(2,6),(2,7),(3,6),(3,7),(4,3),(5,1),(5,2),(5,4)],8)
[1,4,2,8,5,3,6,7]=>([(0,3),(0,4),(2,7),(3,5),(3,6),(4,2),(4,5),(4,6),(6,7),(7,1)],8)
[1,8,4,2,5,3,6,7]=>([(0,3),(0,4),(0,5),(2,7),(4,6),(5,2),(5,6),(6,7),(7,1)],8)
[8,1,5,3,2,4,6,7]=>([(1,3),(1,4),(1,5),(3,7),(4,6),(5,6),(6,7),(7,2)],8)
[3,8,1,5,2,4,6,7]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(4,5),(5,7),(6,7),(7,2)],8)
[3,5,1,4,8,2,6,7]=>([(0,3),(0,6),(1,4),(1,6),(3,7),(4,5),(4,7),(6,5),(6,7),(7,2)],8)
[1,5,2,8,4,3,6,7]=>([(0,4),(0,5),(1,7),(2,7),(4,6),(4,7),(5,1),(5,2),(5,6),(7,3)],8)
[1,2,8,5,4,3,6,7]=>([(0,6),(2,7),(3,7),(4,7),(6,1),(6,2),(6,3),(6,4),(7,5)],8)
[1,2,5,4,3,8,6,7]=>([(0,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3),(5,4),(7,1)],8)
[1,2,4,8,5,3,7,6]=>([(0,5),(2,6),(2,7),(3,6),(3,7),(4,1),(4,3),(5,2),(5,4)],8)
[1,2,7,4,8,5,3,6]=>([(0,5),(1,6),(2,7),(3,6),(4,3),(4,7),(5,1),(5,2),(5,4)],8)
[1,5,2,7,8,4,3,6]=>([(0,4),(0,5),(1,7),(2,7),(4,6),(4,7),(5,1),(5,2),(5,6),(6,3)],8)
[5,1,2,7,4,8,3,6]=>([(0,6),(0,7),(1,4),(2,7),(3,5),(3,7),(4,2),(4,3),(4,6),(6,5)],8)
[8,3,5,1,4,7,2,6]=>([(1,3),(1,5),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,1,5,4,7,3,6]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(4,7),(5,3),(5,7),(6,3),(6,7)],8)
[1,2,8,5,7,4,3,6]=>([(0,6),(3,7),(4,7),(5,2),(5,7),(6,1),(6,3),(6,4),(6,5)],8)
[1,2,4,8,7,5,3,6]=>([(0,5),(3,7),(4,7),(5,4),(5,6),(6,1),(6,2),(6,3)],8)
[2,8,1,4,3,7,6,5]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(6,3),(6,4),(6,5),(7,3),(7,4),(7,5)],8)
[6,1,2,8,7,4,3,5]=>([(0,6),(0,7),(1,4),(2,5),(3,5),(4,2),(4,3),(4,6),(4,7)],8)
[6,4,1,2,8,7,3,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(3,6),(3,7),(4,5)],8)
[3,6,4,8,1,7,2,5]=>([(0,4),(0,7),(1,2),(1,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6)],8)
[7,6,1,4,2,8,3,5]=>([(0,7),(1,7),(2,3),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
[7,1,6,2,8,4,3,5]=>([(0,7),(1,2),(1,5),(2,7),(3,6),(4,6),(5,3),(5,4),(5,7)],8)
[1,6,7,2,8,4,3,5]=>([(0,4),(0,5),(1,6),(2,6),(3,7),(4,3),(5,1),(5,2),(5,7)],8)
[6,7,1,4,2,8,3,5]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(3,7),(4,7),(5,2),(5,7)],8)
[6,3,7,1,4,8,2,5]=>([(0,6),(1,3),(1,7),(2,6),(2,7),(3,5),(6,4),(7,4),(7,5)],8)
[3,7,8,1,5,2,4,6]=>([(0,3),(0,7),(1,4),(1,6),(1,7),(3,6),(4,2),(6,5),(7,5)],8)
[7,1,2,8,5,3,4,6]=>([(0,7),(1,5),(2,6),(3,6),(4,3),(5,2),(5,4),(5,7)],8)
[1,7,2,8,4,5,3,6]=>([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(5,4),(5,7)],8)
[1,4,2,7,8,5,3,6]=>([(0,3),(0,4),(2,6),(3,5),(3,7),(4,2),(4,5),(4,7),(5,6),(7,1)],8)
[6,1,2,8,4,3,7,5]=>([(0,6),(0,7),(1,4),(2,5),(2,7),(3,5),(3,7),(4,2),(4,3),(4,6)],8)
[6,4,1,2,8,3,7,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(3,7),(4,5),(4,6)],8)
[7,6,1,3,2,4,8,5]=>([(0,7),(1,7),(2,3),(2,4),(3,6),(4,6),(6,5),(6,7)],8)
[6,7,1,3,2,4,8,5]=>([(0,5),(1,3),(1,4),(3,7),(4,7),(5,6),(7,2),(7,6)],8)
[1,2,7,3,5,8,4,6]=>([(0,5),(1,6),(2,7),(3,6),(3,7),(4,2),(4,3),(5,1),(5,4)],8)
[1,2,7,5,8,3,4,6]=>([(0,5),(1,6),(2,7),(3,6),(3,7),(4,2),(5,1),(5,3),(5,4)],8)
[5,8,1,3,7,2,4,6]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(2,5),(3,5),(3,6),(5,7)],8)
[1,2,5,8,7,3,4,6]=>([(0,6),(3,7),(4,3),(5,1),(5,2),(5,7),(6,4),(6,5)],8)
[1,2,5,8,3,7,4,6]=>([(0,5),(2,6),(3,2),(3,7),(4,1),(4,6),(4,7),(5,3),(5,4)],8)
[2,8,1,7,3,5,4,6]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(3,5),(4,5),(7,3),(7,4)],8)
[8,6,1,3,2,4,7,5]=>([(1,6),(2,3),(2,4),(3,7),(4,7),(7,5),(7,6)],8)
[4,2,8,1,7,3,6,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(6,3),(6,4)],8)
[2,8,1,7,4,3,6,5]=>([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(6,3),(6,4),(7,3),(7,4)],8)
[7,1,2,8,4,3,6,5]=>([(0,7),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(4,7)],8)
[1,2,8,4,7,5,3,6]=>([(0,6),(3,7),(4,7),(5,2),(5,4),(6,1),(6,3),(6,5)],8)
[1,2,8,7,4,5,3,6]=>([(0,6),(3,7),(4,7),(5,4),(6,1),(6,2),(6,3),(6,5)],8)
[2,8,1,7,5,3,4,6]=>([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(3,4),(6,3),(7,4)],8)
[8,3,7,1,5,2,4,6]=>([(1,4),(1,5),(2,3),(2,5),(2,7),(4,7),(5,6),(7,6)],8)
[3,8,6,1,4,7,2,5]=>([(0,4),(0,7),(1,2),(1,3),(1,7),(3,5),(4,6),(7,5),(7,6)],8)
[8,6,1,4,2,7,3,5]=>([(1,7),(2,3),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
[8,1,6,2,7,4,3,5]=>([(1,4),(1,5),(2,6),(3,6),(4,7),(5,2),(5,3),(5,7)],8)
[7,1,2,8,6,4,3,5]=>([(0,7),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4),(5,7)],8)
[7,4,1,2,8,6,3,5]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(3,6),(3,7),(4,5)],8)
[3,7,4,8,1,6,2,5]=>([(0,4),(0,7),(1,2),(1,3),(2,5),(3,5),(3,6),(3,7),(4,6)],8)
[3,4,8,7,1,6,2,5]=>([(0,4),(0,7),(1,5),(4,6),(5,2),(5,3),(5,6),(5,7)],8)
[4,2,8,1,7,6,3,5]=>([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(4,5)],8)
[2,8,1,7,6,4,3,5]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(6,3),(7,3)],8)
[7,8,3,4,1,5,2,6]=>([(0,3),(1,5),(2,4),(2,6),(4,7),(5,6),(6,7)],8)
[7,8,3,4,1,6,2,5]=>([(0,3),(1,5),(2,4),(2,6),(4,7),(5,6),(5,7)],8)
[6,8,3,4,1,7,2,5]=>([(0,5),(1,4),(1,7),(2,3),(2,7),(4,6),(5,6),(5,7)],8)
[6,7,3,4,1,8,2,5]=>([(0,5),(1,3),(2,4),(2,7),(3,7),(4,6),(5,6),(5,7)],8)
[5,7,3,4,1,8,2,6]=>([(0,5),(1,4),(1,7),(2,3),(2,6),(3,7),(4,6),(5,6),(5,7)],8)
[5,8,3,4,1,7,2,6]=>([(0,5),(1,4),(1,6),(2,3),(2,6),(2,7),(4,7),(5,6),(5,7)],8)
[5,8,3,4,1,6,2,7]=>([(0,4),(1,3),(1,7),(2,5),(2,7),(4,7),(5,6),(7,6)],8)
[6,8,3,4,1,5,2,7]=>([(0,5),(1,3),(1,7),(2,4),(2,6),(4,7),(5,6),(6,7)],8)
[6,7,3,4,1,5,2,8]=>([(0,3),(1,5),(2,4),(2,6),(3,7),(4,7),(5,6),(6,7)],8)
[5,7,3,4,1,6,2,8]=>([(0,5),(1,4),(1,6),(2,3),(2,6),(3,7),(4,7),(5,6),(6,7)],8)
[5,6,2,8,3,4,1,7]=>([(0,7),(1,4),(2,3),(2,6),(3,5),(4,6),(4,7),(5,7)],8)
[5,6,2,7,3,4,1,8]=>([(0,7),(1,4),(2,3),(2,6),(3,5),(4,6),(5,7),(6,7)],8)
[4,6,2,8,3,5,1,7]=>([(0,7),(1,3),(1,5),(2,4),(2,6),(3,6),(4,5),(4,7),(6,7)],8)
[4,7,3,5,1,6,2,8]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(3,7),(4,7),(5,6),(6,7)],8)
[4,8,3,5,1,6,2,7]=>([(0,5),(1,4),(1,6),(2,3),(2,5),(4,7),(5,6),(6,7)],8)
[4,8,3,5,1,7,2,6]=>([(0,5),(1,4),(1,6),(2,3),(2,5),(4,7),(5,6),(5,7)],8)
[4,7,3,5,1,8,2,6]=>([(0,5),(1,3),(1,7),(2,4),(2,5),(3,6),(4,7),(5,6),(5,7)],8)
[5,6,2,3,1,7,4,8]=>([(0,6),(0,7),(1,3),(2,4),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[5,6,2,4,1,8,3,7]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[5,6,2,4,1,7,3,8]=>([(0,5),(0,7),(1,3),(2,4),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[4,6,2,5,1,7,3,8]=>([(0,4),(0,7),(1,4),(1,5),(2,3),(2,5),(3,7),(4,6),(5,7),(7,6)],8)
[4,6,2,5,1,8,3,7]=>([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(3,7),(4,7),(5,6),(5,7)],8)
[4,5,1,8,3,7,2,6]=>([(0,4),(1,2),(1,3),(1,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7)],8)
[4,5,1,7,3,8,2,6]=>([(0,4),(1,2),(1,3),(1,5),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
[4,6,2,7,3,8,1,5]=>([(0,7),(1,4),(1,7),(2,3),(2,5),(3,6),(3,7),(4,5),(5,6)],8)
[5,6,2,7,3,8,1,4]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6),(4,7),(5,7)],8)
[5,6,2,7,4,8,1,3]=>([(0,5),(1,4),(2,3),(2,5),(2,6),(3,7),(4,6),(6,7)],8)
[5,6,3,8,4,7,1,2]=>([(0,3),(1,5),(2,4),(2,6),(4,7),(5,6),(5,7)],8)
[5,6,2,8,4,7,1,3]=>([(0,5),(1,4),(2,3),(2,5),(2,6),(3,7),(4,6),(4,7)],8)
[5,6,2,8,3,7,1,4]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(3,7),(4,6),(4,7)],8)
[4,6,2,8,3,7,1,5]=>([(0,7),(1,4),(1,7),(2,3),(2,5),(3,6),(3,7),(4,5),(4,6)],8)
[4,5,1,7,3,6,2,8]=>([(0,4),(1,2),(1,3),(1,6),(2,7),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
[4,5,1,8,3,6,2,7]=>([(0,4),(1,2),(1,3),(1,6),(2,7),(3,5),(4,5),(4,6),(5,7)],8)
[6,5,3,2,1,4,8,7]=>([(0,5),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,3,5,2,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,3,5,2,4,1,6]=>([(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[6,8,2,4,5,7,3,1]=>([(1,4),(1,7),(2,3),(2,6),(5,7),(6,5)],8)
[8,7,2,4,5,3,1,6]=>([(2,7),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,6,1,4,5,2,8,7]=>([(0,4),(0,5),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[8,3,7,4,5,2,1,6]=>([(1,7),(2,7),(3,4),(3,5),(5,6),(6,7)],8)
[6,3,8,4,5,7,2,1]=>([(2,6),(2,7),(3,4),(3,6),(4,5),(5,7)],8)
[5,8,7,4,3,6,2,1]=>([(2,7),(3,7),(4,5),(4,6),(4,7)],8)
[2,8,7,4,3,6,1,5]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,7,4,3,6,2,5]=>([(1,2),(1,3),(1,4),(1,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,3,5,1,4,2,6]=>([(2,5),(2,6),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[2,1,6,8,5,7,4,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2),(7,3)],8)
[6,8,3,5,1,7,4,2]=>([(0,4),(0,7),(1,5),(1,6),(2,3),(2,6),(2,7),(5,7)],8)
[5,1,8,4,7,6,3,2]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(4,5),(4,6)],8)
[2,5,8,4,7,6,3,1]=>([(1,3),(1,4),(1,5),(4,6),(4,7),(5,2),(5,6),(5,7)],8)
[4,3,8,1,5,6,7,2]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(4,5),(7,4)],8)
[4,8,1,3,5,6,7,2]=>([(0,5),(0,7),(1,3),(1,4),(4,7),(6,2),(7,6)],8)
[5,8,7,4,1,6,3,2]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7)],8)
[5,8,3,6,1,4,7,2]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(5,7),(6,7)],8)
[4,8,3,6,1,2,7,5]=>([(0,5),(0,7),(1,4),(2,3),(2,5),(2,7),(4,6),(4,7),(5,6)],8)
[3,8,7,4,1,6,2,5]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(4,6),(4,7),(5,6)],8)
[3,8,1,2,5,6,7,4]=>([(0,4),(1,3),(1,6),(1,7),(4,6),(4,7),(5,2),(7,5)],8)
[8,7,1,4,2,6,3,5]=>([(2,3),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
[8,6,3,1,2,4,7,5]=>([(1,7),(2,6),(3,4),(4,7),(7,5),(7,6)],8)
[8,1,7,4,5,2,3,6]=>([(1,2),(1,5),(1,6),(3,7),(4,7),(5,4),(6,3)],8)
[2,8,7,4,5,1,3,6]=>([(0,7),(1,2),(1,3),(1,5),(1,7),(4,6),(5,4),(7,6)],8)
[8,7,2,4,1,6,3,5]=>([(2,5),(2,6),(3,4),(3,5),(4,6),(4,7),(5,7)],8)
[5,8,3,6,2,4,7,1]=>([(1,5),(2,5),(2,6),(3,4),(3,6),(5,7),(6,7)],8)
[8,6,3,2,1,4,7,5]=>([(1,7),(2,7),(3,7),(4,6),(7,5),(7,6)],8)
[8,7,3,5,2,1,4,6]=>([(2,7),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[5,8,3,6,2,1,7,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(5,7)],8)
[5,8,7,4,2,6,1,3]=>([(0,7),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7)],8)
[2,6,8,4,5,7,1,3]=>([(0,7),(1,4),(1,5),(1,7),(3,6),(4,3),(5,2),(5,6)],8)
[6,1,8,4,5,7,2,3]=>([(0,6),(0,7),(1,4),(1,5),(1,7),(3,6),(4,2),(5,3)],8)
[6,8,3,5,1,7,2,4]=>([(0,3),(0,7),(1,5),(1,7),(2,4),(2,6),(4,7),(5,6)],8)
[2,1,5,8,3,6,7,4]=>([(0,6),(0,7),(1,6),(1,7),(5,2),(6,4),(6,5),(7,3),(7,5)],8)
[5,8,3,6,1,2,7,4]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6),(4,7),(5,7)],8)
[4,1,8,2,5,6,7,3]=>([(0,6),(0,7),(1,4),(1,7),(4,3),(4,6),(5,2),(6,5)],8)
[2,4,8,1,5,6,7,3]=>([(0,6),(0,7),(1,4),(1,7),(4,3),(4,6),(5,2),(6,5)],8)
[4,8,2,1,5,6,7,3]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(4,5),(7,4)],8)
[3,4,8,2,5,6,7,1]=>([(1,7),(2,5),(5,4),(5,7),(6,3),(7,6)],8)
[5,8,1,4,7,6,2,3]=>([(0,4),(0,6),(0,7),(1,3),(1,5),(3,6),(3,7),(5,2)],8)
[5,8,3,1,6,2,7,4]=>([(0,5),(0,7),(1,3),(1,7),(2,4),(2,7),(4,5),(4,6),(7,6)],8)
[4,5,3,8,6,1,7,2]=>([(0,6),(0,7),(1,4),(2,3),(2,5),(4,6),(4,7),(7,5)],8)
[3,4,1,8,5,6,7,2]=>([(0,4),(1,3),(1,6),(1,7),(4,6),(4,7),(5,2),(7,5)],8)
[4,5,7,6,2,3,8,1]=>([(1,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[3,5,7,2,6,4,8,1]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[2,5,7,3,6,4,8,1]=>([(1,4),(1,5),(2,7),(3,7),(4,3),(4,6),(5,2),(5,6),(6,7)],8)
[1,5,7,3,6,8,4,2]=>([(0,3),(0,4),(0,5),(2,7),(4,1),(4,6),(5,2),(5,6),(6,7)],8)
[8,4,3,7,6,1,5,2]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7)],8)
[6,7,2,3,5,4,8,1]=>([(1,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[5,2,7,3,6,4,8,1]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[8,3,4,7,6,1,5,2]=>([(1,6),(2,5),(2,7),(6,3),(6,4),(6,7)],8)
[8,2,4,7,1,6,5,3]=>([(1,5),(1,6),(1,7),(2,3),(2,5),(3,4),(3,6),(3,7)],8)
[3,1,4,7,6,8,5,2]=>([(0,7),(1,3),(1,7),(4,6),(5,6),(7,2),(7,4),(7,5)],8)
[4,1,3,7,6,8,5,2]=>([(0,2),(0,3),(1,5),(1,6),(1,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[5,1,7,3,6,8,4,2]=>([(0,6),(0,7),(1,3),(1,4),(1,7),(4,2),(4,6),(6,5),(7,5)],8)
[6,7,1,3,5,8,4,2]=>([(0,5),(1,3),(1,6),(4,7),(5,7),(6,2),(6,4)],8)
[5,8,7,3,6,1,4,2]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6)],8)
[4,8,3,7,6,1,5,2]=>([(0,5),(0,6),(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7)],8)
[3,8,4,7,6,1,5,2]=>([(0,5),(0,7),(1,4),(1,6),(6,2),(6,3),(6,7)],8)
[2,8,4,7,1,6,5,3]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(4,2),(4,5),(4,6)],8)
[8,1,4,7,2,6,5,3]=>([(1,4),(1,5),(4,3),(4,6),(4,7),(5,2),(5,6),(5,7)],8)
[8,1,3,2,7,6,5,4]=>([(1,2),(1,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[2,8,3,1,7,6,5,4]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(1,7),(3,4),(3,5),(3,6),(3,7)],8)
[3,8,2,1,7,6,5,4]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[6,7,1,2,8,5,4,3]=>([(0,5),(1,6),(5,7),(6,2),(6,3),(6,4),(6,7)],8)
[8,2,3,1,7,6,5,4]=>([(1,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[8,3,2,1,7,6,5,4]=>([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[3,4,1,7,6,8,5,2]=>([(0,3),(1,2),(1,5),(1,6),(1,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[1,4,2,7,8,6,5,3]=>([(0,3),(0,4),(3,5),(3,6),(3,7),(4,2),(4,5),(4,6),(4,7),(7,1)],8)
[8,4,2,7,1,6,5,3]=>([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[8,5,7,2,1,6,4,3]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7)],8)
[1,5,7,2,8,6,4,3]=>([(0,4),(0,5),(3,6),(4,3),(4,7),(5,1),(5,2),(5,6),(5,7)],8)
[2,5,7,1,8,6,4,3]=>([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,5),(3,2),(3,4)],8)
[3,5,7,1,6,8,4,2]=>([(0,3),(0,6),(0,7),(1,4),(1,7),(2,5),(4,2),(4,6),(6,5)],8)
[6,7,4,5,8,1,3,2]=>([(0,6),(1,5),(2,3),(2,4),(5,7),(6,7)],8)
[5,4,7,6,8,1,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,7),(6,7)],8)
[2,5,7,8,1,6,4,3]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(3,2),(4,3),(4,5)],8)
[1,5,7,8,2,6,4,3]=>([(0,5),(0,6),(4,3),(5,4),(5,7),(6,1),(6,2),(6,7)],8)
[8,5,7,1,2,6,4,3]=>([(1,6),(2,5),(2,7),(6,3),(6,4),(6,7)],8)
[8,4,1,7,2,6,5,3]=>([(1,5),(1,6),(1,7),(2,3),(2,5),(3,4),(3,6),(3,7)],8)
[1,4,8,7,2,6,5,3]=>([(0,4),(0,5),(4,3),(4,6),(4,7),(5,1),(5,2),(5,6),(5,7)],8)
[3,4,8,7,6,1,5,2]=>([(0,6),(1,5),(1,7),(6,2),(6,3),(6,4),(6,7)],8)
[4,3,8,7,6,1,5,2]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,7)],8)
[5,3,7,8,6,1,4,2]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(7,3)],8)
[6,7,2,8,1,5,4,3]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,7)],8)
[5,2,7,8,1,6,4,3]=>([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3)],8)
[4,2,8,7,1,6,5,3]=>([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[3,2,8,1,7,6,5,4]=>([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[1,3,8,2,7,6,5,4]=>([(0,2),(0,3),(2,4),(2,5),(2,6),(2,7),(3,1),(3,4),(3,5),(3,6),(3,7)],8)
[8,3,1,2,7,6,5,4]=>([(1,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[8,2,1,3,7,6,5,4]=>([(1,7),(2,7),(7,3),(7,4),(7,5),(7,6)],8)
[1,2,8,3,7,6,5,4]=>([(0,6),(6,5),(6,7),(7,1),(7,2),(7,3),(7,4)],8)
[2,1,8,3,7,6,5,4]=>([(0,6),(0,7),(1,6),(1,7),(7,2),(7,3),(7,4),(7,5)],8)
[4,1,8,7,2,6,5,3]=>([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(3,2),(3,4),(3,5)],8)
[5,1,7,8,2,6,4,3]=>([(0,6),(0,7),(1,5),(1,7),(5,3),(5,4),(5,6),(7,2)],8)
[6,7,1,8,2,5,4,3]=>([(0,5),(1,6),(1,7),(5,7),(6,2),(6,3),(6,4)],8)
[5,8,7,1,2,6,4,3]=>([(0,6),(1,4),(1,5),(1,7),(6,2),(6,3),(6,7)],8)
[4,8,1,7,2,6,5,3]=>([(0,4),(0,7),(1,3),(1,5),(1,6),(1,7),(4,2),(4,5),(4,6)],8)
[3,8,1,2,7,6,5,4]=>([(0,3),(1,2),(1,4),(1,5),(1,6),(1,7),(3,4),(3,5),(3,6),(3,7)],8)
[2,8,1,3,7,6,5,4]=>([(0,7),(1,2),(1,7),(7,3),(7,4),(7,5),(7,6)],8)
[1,8,2,3,7,6,5,4]=>([(0,5),(0,6),(6,7),(7,1),(7,2),(7,3),(7,4)],8)
[8,1,2,3,7,6,5,4]=>([(1,6),(6,7),(7,2),(7,3),(7,4),(7,5)],8)
[6,7,1,8,4,5,2,3]=>([(0,4),(1,5),(1,6),(1,7),(4,7),(5,3),(6,2)],8)
[3,7,1,5,8,2,6,4]=>([(0,3),(0,7),(1,2),(1,5),(1,7),(2,6),(3,4),(3,5),(7,4),(7,6)],8)
[2,7,1,5,8,3,6,4]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(3,5),(6,2),(6,4),(7,4),(7,5)],8)
[2,6,5,1,8,3,7,4]=>([(0,5),(0,7),(1,2),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(5,4),(5,6)],8)
[3,6,5,1,8,2,7,4]=>([(0,4),(0,7),(1,2),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6)],8)
[4,6,5,1,8,7,2,3]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[5,6,4,1,8,7,2,3]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(2,7),(3,5),(4,6),(4,7)],8)
[8,1,4,5,7,6,2,3]=>([(1,5),(1,6),(5,4),(6,7),(7,2),(7,3)],8)
[6,4,5,1,8,7,2,3]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(2,7),(3,5),(4,6),(4,7)],8)
[5,4,6,1,8,7,2,3]=>([(0,5),(1,5),(2,3),(2,6),(2,7),(3,4),(5,6),(5,7)],8)
[4,5,6,1,8,7,2,3]=>([(0,4),(1,5),(1,6),(1,7),(3,6),(3,7),(4,3),(5,2)],8)
[3,5,6,1,8,2,7,4]=>([(0,3),(0,6),(1,4),(1,7),(2,5),(2,6),(3,5),(3,7),(4,2)],8)
[2,5,6,1,8,3,7,4]=>([(0,6),(0,7),(1,4),(1,7),(3,5),(3,6),(4,3),(7,2),(7,5)],8)
[2,4,6,1,3,8,7,5]=>([(0,7),(1,2),(1,7),(2,3),(2,6),(3,4),(3,5),(7,4),(7,5),(7,6)],8)
[3,4,6,1,2,8,7,5]=>([(0,3),(1,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,2),(4,7)],8)
[4,3,6,1,2,8,7,5]=>([(0,4),(0,7),(1,4),(1,7),(2,3),(3,5),(3,6),(3,7),(4,5),(4,6)],8)
[5,3,6,1,8,2,7,4]=>([(0,7),(1,3),(1,6),(2,5),(2,7),(3,4),(3,5),(7,4),(7,6)],8)
[7,3,1,5,8,2,6,4]=>([(0,6),(1,3),(1,7),(2,5),(2,7),(3,4),(3,5),(7,4),(7,6)],8)
[8,1,3,5,7,2,6,4]=>([(1,3),(1,5),(3,6),(3,7),(4,2),(4,7),(5,4),(5,6)],8)
[8,1,2,5,7,3,6,4]=>([(1,6),(4,3),(4,7),(5,2),(5,7),(6,4),(6,5)],8)
[7,2,1,5,8,3,6,4]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(6,3),(6,4),(7,4),(7,5)],8)
[6,2,5,1,8,3,7,4]=>([(0,6),(0,7),(1,5),(1,6),(2,3),(2,5),(3,6),(3,7),(5,4),(5,7)],8)
[4,2,6,1,3,8,7,5]=>([(0,7),(1,5),(1,6),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4),(7,5)],8)
[2,3,6,1,4,8,7,5]=>([(0,7),(1,4),(3,5),(3,6),(4,3),(4,7),(7,2),(7,5),(7,6)],8)
[4,2,5,3,1,8,7,6]=>([(0,5),(0,6),(0,7),(1,4),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,2,4,1,3,8,7,5]=>([(0,6),(0,7),(1,4),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,2,1,4,3,8,6,5]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(5,7),(6,3),(6,4),(6,7)],8)
[8,1,2,4,3,7,6,5]=>([(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,2),(4,3)],8)
[8,1,3,4,2,7,6,5]=>([(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,2)],8)
[7,3,1,4,2,8,6,5]=>([(0,4),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,3,4,1,2,8,7,5]=>([(0,6),(0,7),(1,4),(2,3),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,6,3,1,2,8,7,5]=>([(0,5),(0,6),(0,7),(1,4),(2,3),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,6,4,1,2,8,7,5]=>([(0,4),(1,2),(1,3),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[2,6,4,1,3,8,7,5]=>([(0,4),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[2,7,1,4,3,8,6,5]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,7),(5,3),(5,4),(5,7),(6,3),(6,4),(6,7)],8)
[3,7,1,4,2,8,6,5]=>([(0,3),(0,6),(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(6,4),(6,5),(6,7)],8)
[4,7,1,3,2,8,6,5]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5)],8)
[8,1,6,7,2,3,5,4]=>([(1,5),(1,6),(5,4),(6,7),(7,2),(7,3)],8)
[4,7,1,2,3,8,6,5]=>([(0,4),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(4,2)],8)
[3,7,1,2,4,8,6,5]=>([(0,4),(1,5),(1,7),(4,7),(5,6),(7,2),(7,3),(7,6)],8)
[2,7,1,3,4,8,6,5]=>([(0,7),(1,4),(1,7),(4,6),(5,2),(5,3),(5,6),(7,5)],8)
[2,6,3,1,4,8,7,5]=>([(0,7),(1,3),(1,4),(3,7),(4,5),(4,6),(7,2),(7,5),(7,6)],8)
[3,6,2,1,4,8,7,5]=>([(0,7),(1,7),(2,4),(2,7),(4,5),(4,6),(7,3),(7,5),(7,6)],8)
[5,6,2,1,8,3,7,4]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(3,6),(3,7),(5,4),(5,6)],8)
[6,5,2,1,8,3,7,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(5,4),(5,6)],8)
[8,1,5,2,7,3,6,4]=>([(1,3),(1,5),(3,6),(3,7),(4,2),(4,7),(5,4),(5,6)],8)
[8,1,4,2,3,7,6,5]=>([(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,2)],8)
[7,4,1,2,3,8,6,5]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(4,5),(4,6),(4,7)],8)
[6,4,2,1,3,8,7,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(3,4),(4,5),(4,6),(4,7)],8)
[5,4,2,3,1,8,7,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[3,5,2,4,1,8,7,6]=>([(0,5),(0,6),(0,7),(1,4),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,3,2,1,4,8,7,5]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(7,4),(7,5),(7,6)],8)
[7,3,1,2,4,8,6,5]=>([(0,7),(1,6),(2,3),(3,7),(7,4),(7,5),(7,6)],8)
[8,1,3,2,4,7,6,5]=>([(1,2),(1,3),(2,7),(3,7),(7,4),(7,5),(7,6)],8)
[8,1,2,3,4,7,6,5]=>([(1,6),(5,7),(6,5),(7,2),(7,3),(7,4)],8)
[7,2,1,3,4,8,6,5]=>([(0,6),(1,6),(2,7),(3,4),(3,5),(3,7),(6,3)],8)
[6,2,3,1,4,8,7,5]=>([(0,7),(1,5),(1,6),(2,3),(3,7),(7,4),(7,5),(7,6)],8)
[2,4,3,6,1,5,8,7]=>([(0,7),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[2,4,3,6,5,8,1,7]=>([(0,7),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(5,7),(6,4),(6,7)],8)
[2,4,6,3,5,8,7,1]=>([(1,2),(1,4),(2,5),(3,6),(3,7),(4,3),(4,5),(5,6),(5,7)],8)
[2,4,6,3,5,8,1,7]=>([(0,7),(1,3),(1,4),(2,6),(2,7),(3,5),(4,2),(4,5),(5,6),(5,7)],8)
[2,4,6,1,5,3,8,7]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,6,5,3,1,8,7]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,6,5,1,8,7,3]=>([(0,3),(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,6,5,8,1,7,3]=>([(0,4),(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(5,7),(6,3),(6,7)],8)
[4,2,6,5,8,1,3,7]=>([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,3),(5,7),(6,3),(6,7)],8)
[4,2,6,5,8,3,1,7]=>([(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,6,1,5,8,3,7]=>([(0,3),(0,5),(1,5),(1,6),(2,4),(2,7),(3,2),(3,6),(5,7),(6,4),(6,7)],8)
[2,4,1,6,5,8,3,7]=>([(0,2),(0,4),(1,4),(1,5),(1,6),(2,5),(2,6),(4,7),(5,3),(5,7),(6,3),(6,7)],8)
[2,1,4,6,5,8,3,7]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,7),(3,4),(3,7),(5,7),(6,2),(6,3)],8)
[2,4,1,6,5,8,7,3]=>([(0,2),(0,5),(1,5),(1,6),(1,7),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8)
[2,4,6,1,5,8,7,3]=>([(0,2),(0,6),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(7,4),(7,5)],8)
[4,2,6,5,8,3,7,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,4,3,8,7,5,1]=>([(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,2,6,8,5,3,7,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3),(6,7)],8)
[2,4,6,8,1,5,7,3]=>([(0,6),(0,7),(1,4),(1,7),(3,2),(3,5),(4,3),(4,6),(6,5)],8)
[2,4,6,1,8,5,7,3]=>([(0,2),(0,6),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(7,4)],8)
[2,4,1,6,8,5,7,3]=>([(0,3),(0,5),(1,5),(1,6),(1,7),(3,6),(3,7),(6,4),(7,2),(7,4)],8)
[2,1,4,6,8,5,7,3]=>([(0,6),(0,7),(1,6),(1,7),(3,5),(4,2),(4,5),(7,3),(7,4)],8)
[2,1,4,6,8,5,3,7]=>([(0,5),(0,6),(1,5),(1,6),(3,7),(4,2),(4,7),(5,7),(6,3),(6,4)],8)
[2,4,1,6,8,5,3,7]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(4,7),(5,2),(5,7),(6,7)],8)
[2,4,6,1,8,5,3,7]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,5),(2,7),(3,2),(3,4),(4,7),(6,7)],8)
[2,4,6,8,1,5,3,7]=>([(0,5),(0,6),(1,4),(1,6),(3,2),(3,7),(4,3),(4,5),(5,7),(6,7)],8)
[4,2,6,8,5,1,3,7]=>([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3),(6,7)],8)
[2,4,6,8,3,5,7,1]=>([(1,3),(1,5),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7)],8)
[2,4,6,8,3,5,1,7]=>([(0,7),(1,3),(1,5),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7)],8)
[2,4,6,8,3,1,5,7]=>([(0,7),(1,3),(1,4),(3,7),(4,5),(4,7),(5,2),(5,6),(7,6)],8)
[2,4,6,3,1,8,5,7]=>([(0,6),(0,7),(1,2),(1,4),(2,6),(2,7),(3,5),(3,6),(4,3),(4,7),(7,5)],8)
[2,4,6,3,8,1,5,7]=>([(0,7),(1,2),(1,4),(2,5),(2,7),(3,5),(3,6),(4,3),(4,7),(7,6)],8)
[2,4,6,3,8,5,1,7]=>([(0,7),(1,3),(1,4),(2,5),(2,7),(3,5),(3,6),(4,2),(4,6),(6,7)],8)
[2,4,6,3,8,5,7,1]=>([(1,3),(1,4),(2,5),(2,7),(3,5),(3,6),(4,2),(4,6),(6,7)],8)
[2,4,3,6,8,5,7,1]=>([(1,3),(1,4),(3,5),(3,7),(4,5),(4,7),(5,6),(7,2),(7,6)],8)
[2,4,3,6,8,5,1,7]=>([(0,7),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,2),(6,7)],8)
[2,4,3,6,8,1,5,7]=>([(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(6,2),(6,5),(7,5)],8)
[2,4,3,1,6,8,5,7]=>([(0,6),(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,2),(7,5)],8)
[2,4,1,3,6,8,7,5]=>([(0,6),(1,4),(1,6),(4,5),(4,7),(6,5),(6,7),(7,2),(7,3)],8)
[2,4,3,6,1,8,7,5]=>([(0,2),(0,3),(1,4),(1,5),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5)],8)
[2,4,3,6,8,1,7,5]=>([(0,5),(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(6,2),(6,5)],8)
[4,6,5,2,8,7,1,3]=>([(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7)],8)
[2,4,6,3,8,1,7,5]=>([(0,6),(0,7),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,2),(4,7)],8)
[2,1,4,6,8,3,7,5]=>([(0,6),(0,7),(1,6),(1,7),(3,2),(3,5),(6,3),(6,4),(7,4),(7,5)],8)
[2,4,1,6,8,3,7,5]=>([(0,3),(0,7),(1,6),(1,7),(3,5),(3,6),(6,2),(6,4),(7,4),(7,5)],8)
[2,4,6,1,8,3,7,5]=>([(0,2),(0,7),(1,5),(1,7),(2,3),(2,6),(3,4),(3,5),(7,4),(7,6)],8)
[2,4,6,8,1,3,7,5]=>([(0,7),(1,4),(1,7),(3,2),(3,5),(4,3),(4,6),(7,5),(7,6)],8)
[2,4,6,8,3,1,7,5]=>([(0,6),(0,7),(1,3),(1,5),(3,6),(3,7),(4,2),(4,7),(5,4),(5,6)],8)
[4,6,2,8,5,7,1,3]=>([(0,6),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(7,4)],8)
[6,2,4,8,7,1,3,5]=>([(0,7),(1,3),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(7,4)],8)
[6,4,2,8,7,5,3,1]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[2,6,4,8,1,7,5,3]=>([(0,2),(0,3),(0,6),(1,4),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7)],8)
[2,6,4,1,8,7,5,3]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8)
[2,6,1,4,8,7,5,3]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(3,4),(3,5),(7,2),(7,4),(7,5)],8)
[2,1,6,4,8,7,5,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(6,3),(6,4),(7,2),(7,3),(7,4)],8)
[2,6,1,4,8,7,3,5]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(6,3),(7,3),(7,4),(7,5)],8)
[6,4,2,8,7,5,1,3]=>([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,6,4,7,3,8,2,5]=>([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(2,7),(3,5),(4,5),(4,7),(5,6)],8)
[1,3,7,4,5,8,2,6]=>([(0,3),(0,5),(1,6),(2,6),(2,7),(3,7),(4,2),(5,1),(5,4)],8)
[5,2,4,7,3,6,8,1]=>([(1,6),(1,7),(2,3),(2,4),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[1,7,6,3,4,8,2,5]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(2,7),(3,7),(4,6),(5,1)],8)
[8,1,6,3,7,2,4,5]=>([(1,3),(1,4),(1,5),(3,7),(4,6),(5,6),(5,7),(7,2)],8)
[7,1,6,3,8,2,4,5]=>([(0,7),(1,2),(1,3),(1,4),(2,7),(3,6),(4,6),(4,7),(6,5)],8)
[1,2,7,4,8,3,5,6]=>([(0,5),(2,7),(3,6),(4,6),(4,7),(5,2),(5,3),(5,4),(7,1)],8)
[6,1,7,3,4,8,2,5]=>([(0,7),(1,2),(1,4),(1,7),(2,5),(3,5),(3,6),(4,3),(7,6)],8)
[2,1,7,4,5,8,3,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(5,2),(6,4),(7,3)],8)
[5,1,4,7,3,8,2,6]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(2,7),(3,6),(3,7),(4,5),(4,7),(6,5)],8)
[4,3,1,7,5,8,2,6]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(6,4),(7,4),(7,5)],8)
[2,8,6,3,7,1,4,5]=>([(0,7),(1,3),(1,4),(1,5),(4,6),(5,6),(5,7),(7,2)],8)
[6,8,1,3,7,2,4,5]=>([(0,5),(0,6),(1,3),(1,4),(3,7),(4,6),(4,7),(7,2)],8)
[5,8,2,1,7,3,4,6]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(4,6),(5,4)],8)
[5,7,2,1,8,3,4,6]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,6),(3,7),(4,6),(5,4)],8)
[6,7,1,3,8,2,4,5]=>([(0,5),(1,3),(1,4),(3,7),(4,6),(4,7),(5,6),(7,2)],8)
[5,1,2,4,8,3,6,7]=>([(0,6),(0,7),(1,5),(2,7),(4,6),(4,7),(5,2),(5,4),(7,3)],8)
[4,3,6,1,5,8,2,7]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,7),(4,5),(4,7),(6,5),(6,7)],8)
[2,6,1,4,5,8,3,7]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,7),(3,4),(3,7),(5,7),(6,2)],8)
[6,5,1,3,4,8,2,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(4,7),(5,6),(5,7)],8)
[1,6,2,4,8,3,5,7]=>([(0,3),(0,4),(1,5),(2,5),(2,6),(3,6),(3,7),(4,1),(4,2),(5,7)],8)
[8,5,1,3,7,2,4,6]=>([(1,5),(1,6),(2,3),(2,4),(3,7),(4,6),(4,7),(7,5)],8)
[1,5,3,2,8,4,6,7]=>([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,1)],8)
[6,4,2,1,5,8,3,7]=>([(0,6),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(6,5),(6,7)],8)
[2,5,3,4,1,8,6,7]=>([(0,6),(0,7),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3),(7,2)],8)
[4,3,5,2,1,8,6,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(5,6),(5,7),(7,4)],8)
[2,6,4,8,7,1,3,5]=>([(0,7),(1,2),(1,3),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(7,4)],8)
[1,6,4,8,7,2,3,5]=>([(0,2),(0,3),(0,4),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,1)],8)
[2,7,8,3,6,1,4,5]=>([(0,7),(1,5),(1,6),(5,3),(6,2),(6,7),(7,4)],8)
[4,3,2,8,7,1,5,6]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[5,2,4,8,7,1,3,6]=>([(0,4),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,7)],8)
[6,2,8,3,7,1,4,5]=>([(0,7),(1,5),(1,6),(2,4),(2,5),(4,6),(4,7),(7,3)],8)
[5,1,4,8,7,2,3,6]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(2,7),(3,5),(3,6),(3,7),(4,2)],8)
[4,8,2,5,1,3,7,6]=>([(0,6),(1,3),(1,7),(2,6),(2,7),(6,4),(6,5),(7,4),(7,5)],8)
[4,7,2,5,1,3,8,6]=>([(0,4),(1,4),(1,5),(2,3),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,2,1,5,4,8,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(5,4),(5,7),(6,4),(6,7)],8)
[3,8,2,1,5,4,7,6]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(6,4),(6,5),(7,4),(7,5)],8)
[8,3,2,1,5,4,6,7]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(5,4),(6,5),(7,5)],8)
[8,3,2,1,6,4,5,7]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(6,5),(7,4)],8)
[8,4,2,5,1,6,3,7]=>([(1,5),(2,4),(2,6),(3,4),(3,5),(4,7),(5,6),(6,7)],8)
[8,3,2,1,5,6,4,7]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(6,5),(7,4)],8)
[8,3,2,1,4,6,5,7]=>([(1,7),(2,7),(3,7),(4,6),(5,6),(7,4),(7,5)],8)
[3,8,2,1,4,5,7,6]=>([(0,7),(1,7),(2,5),(2,7),(6,3),(6,4),(7,6)],8)
[3,7,2,1,4,5,8,6]=>([(0,7),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(7,4)],8)
[3,2,7,1,4,6,8,5]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(4,6),(5,6),(7,3),(7,4)],8)
[3,2,8,1,4,6,7,5]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(4,5),(7,3),(7,4)],8)
[3,2,8,1,4,7,6,5]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(7,3),(7,4),(7,5)],8)
[3,8,2,1,4,7,5,6]=>([(0,7),(1,7),(2,4),(2,7),(6,3),(7,5),(7,6)],8)
[3,8,2,1,5,7,4,6]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(6,5),(7,3),(7,5)],8)
[4,8,2,5,1,7,3,6]=>([(0,3),(0,7),(1,5),(1,6),(2,6),(2,7),(6,4),(7,4),(7,5)],8)
[4,7,2,5,1,8,3,6]=>([(0,4),(0,7),(1,4),(1,5),(2,3),(2,5),(3,7),(4,6),(5,6),(5,7)],8)
[3,7,2,1,5,8,4,6]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(6,4),(7,4),(7,5)],8)
[3,7,2,1,4,8,5,6]=>([(0,7),(1,7),(2,4),(2,7),(3,5),(4,6),(7,3),(7,6)],8)
[3,2,1,7,5,8,6,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,4),(7,3),(7,4)],8)
[3,2,7,1,6,8,4,5]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(4,5),(6,5),(7,3)],8)
[4,2,7,6,1,8,3,5]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3)],8)
[4,3,7,6,8,1,2,5]=>([(0,4),(0,5),(0,7),(1,4),(1,5),(1,7),(2,3),(3,7),(4,6),(5,6)],8)
[4,3,8,6,7,1,2,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,7),(6,3)],8)
[4,2,8,6,1,7,3,5]=>([(0,3),(0,6),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(6,4),(7,3)],8)
[3,2,8,1,6,7,4,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,4),(7,3)],8)
[3,2,1,8,7,5,6,4]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[3,8,2,1,7,4,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(4,5),(7,4)],8)
[3,2,8,1,7,4,6,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(7,3),(7,4)],8)
[3,2,8,1,6,4,7,5]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(6,5),(7,3),(7,5)],8)
[3,2,7,1,6,4,8,5]=>([(0,5),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(4,6),(5,6),(7,3),(7,6)],8)
[4,2,7,6,1,3,8,5]=>([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3),(6,7)],8)
[4,2,8,6,1,3,7,5]=>([(0,7),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(6,3),(7,3),(7,4)],8)
[4,2,8,7,1,3,6,5]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(7,3),(7,4)],8)
[5,7,8,3,4,1,2,6]=>([(0,5),(1,4),(2,6),(2,7),(4,7),(5,7),(6,3)],8)
[4,2,7,8,1,3,6,5]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(6,3),(7,4),(7,5)],8)
[4,2,6,8,1,3,7,5]=>([(0,7),(1,5),(1,6),(2,6),(2,7),(6,3),(6,4),(7,4),(7,5)],8)
[4,2,6,7,1,3,8,5]=>([(0,7),(1,5),(1,6),(2,6),(2,7),(3,4),(6,3),(7,4),(7,5)],8)
[3,2,6,1,8,4,7,5]=>([(0,4),(0,7),(1,4),(1,7),(2,5),(2,7),(4,5),(4,6),(7,3),(7,6)],8)
[3,7,2,1,8,4,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(3,7),(4,5),(6,4)],8)
[3,7,2,1,8,5,4,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,7),(5,4),(6,4)],8)
[4,7,3,8,5,1,2,6]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(3,6),(4,7),(5,7)],8)
[4,3,7,8,6,1,2,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,7),(6,3)],8)
[3,2,7,1,8,6,4,5]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(4,5),(7,3)],8)
[3,2,1,6,8,5,7,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,4),(7,3),(7,4)],8)
[3,2,6,1,8,7,4,5]=>([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(4,5),(4,6),(7,3)],8)
[4,2,6,8,1,7,3,5]=>([(0,5),(0,7),(1,4),(1,6),(2,6),(2,7),(6,5),(7,3),(7,4)],8)
[4,3,6,8,7,1,2,5]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,7),(6,4),(6,5)],8)
[4,2,6,7,1,8,3,5]=>([(0,4),(0,6),(1,5),(1,7),(2,6),(2,7),(3,5),(6,3),(7,4)],8)
[3,2,6,1,7,8,4,5]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(5,6),(6,3),(7,4)],8)
[3,4,6,8,7,5,1,2]=>([(0,7),(1,5),(6,3),(6,4),(7,2),(7,6)],8)
[5,3,6,4,8,7,1,2]=>([(0,5),(1,3),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,6,2,7,8,5,3]=>([(0,4),(0,5),(3,7),(4,3),(4,6),(5,2),(5,6),(5,7),(7,1)],8)
[3,1,8,5,4,2,6,7]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(5,7),(6,7),(7,2)],8)
[1,2,7,5,4,8,6,3]=>([(0,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,3),(5,4)],8)
[6,3,7,5,4,8,1,2]=>([(0,6),(1,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[7,3,8,5,4,6,1,2]=>([(0,6),(1,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[3,8,7,5,4,6,1,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(4,7),(5,7)],8)
[4,3,6,7,8,5,1,2]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(4,5),(7,4)],8)
[4,5,6,3,8,7,1,2]=>([(0,6),(0,7),(1,3),(2,4),(4,5),(5,6),(5,7)],8)
[3,6,8,5,4,7,1,2]=>([(0,5),(1,3),(1,4),(1,6),(3,7),(4,7),(6,2),(6,7)],8)
[6,8,3,5,4,7,1,2]=>([(0,5),(1,6),(1,7),(2,3),(2,4),(3,7),(4,7)],8)
[7,6,3,5,4,8,1,2]=>([(0,7),(1,7),(2,4),(3,5),(3,6),(5,7),(6,7)],8)
[1,6,2,5,4,8,7,3]=>([(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,3)],8)
[7,1,2,5,8,3,6,4]=>([(0,7),(1,5),(3,6),(3,7),(4,2),(4,6),(5,3),(5,4)],8)
[1,8,2,5,7,3,6,4]=>([(0,3),(0,6),(4,2),(4,7),(5,1),(5,7),(6,4),(6,5)],8)
[6,2,1,5,4,8,7,3]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,6,2,8,7,5,3]=>([(0,3),(0,7),(1,6),(1,7),(3,2),(3,4),(3,5),(3,6),(7,4),(7,5)],8)
[7,8,1,2,4,6,5,3]=>([(0,7),(1,5),(6,3),(6,4),(7,2),(7,6)],8)
[7,8,3,1,4,2,6,5]=>([(0,5),(1,3),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,6,1,8,2,7,5]=>([(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(3,6),(3,7),(4,5),(4,6)],8)
[2,3,8,5,4,1,6,7]=>([(0,7),(1,6),(3,7),(4,7),(6,2),(6,3),(6,4),(7,5)],8)
[4,8,1,5,2,3,7,6]=>([(0,3),(0,7),(1,4),(1,7),(2,5),(2,6),(4,2),(7,5),(7,6)],8)
[7,5,1,6,4,3,2,8]=>([(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[5,8,1,6,4,3,2,7]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(6,7)],8)
[6,1,5,7,4,3,2,8]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[1,5,8,6,4,3,2,7]=>([(0,3),(0,4),(0,5),(0,6),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2)],8)
[3,4,6,1,5,8,2,7]=>([(0,3),(0,6),(1,4),(2,5),(2,7),(3,7),(4,2),(4,6),(6,5),(6,7)],8)
[7,8,4,1,5,3,2,6]=>([(0,6),(1,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[7,8,5,1,6,3,2,4]=>([(0,6),(1,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[2,6,1,5,7,3,8,4]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(3,5),(5,4),(6,5),(7,2),(7,4)],8)
[1,6,8,7,4,3,2,5]=>([(0,3),(0,4),(0,5),(0,6),(3,7),(4,7),(5,7),(6,1),(6,2)],8)
[6,8,1,7,4,3,2,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7)],8)
[5,6,1,7,4,3,2,8]=>([(0,5),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[5,1,7,6,4,3,2,8]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,1,7,8,4,3,2,5]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(6,5)],8)
[7,1,8,6,4,3,2,5]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7)],8)
[1,8,7,6,4,3,2,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)
[2,1,7,5,6,3,8,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,7),(4,7),(5,3),(6,2),(6,7)],8)
[3,1,6,7,5,8,2,4]=>([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(2,5),(3,4),(6,2),(7,5)],8)
[7,8,1,6,5,3,2,4]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(4,7),(5,7)],8)
[7,8,2,1,4,5,6,3]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(4,5),(7,4)],8)
[2,8,1,5,4,6,7,3]=>([(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(4,2),(6,4),(7,4)],8)
[7,2,1,5,4,6,8,3]=>([(0,3),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(5,3),(6,5),(7,5)],8)
[1,2,8,5,6,3,7,4]=>([(0,6),(3,7),(4,3),(5,1),(5,7),(6,2),(6,4),(6,5)],8)
[6,1,2,5,7,3,8,4]=>([(0,7),(1,5),(2,7),(4,3),(4,6),(5,2),(5,4),(7,6)],8)
[4,2,1,5,6,3,7,8]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(4,6),(5,6),(6,3),(7,4)],8)
[4,3,6,1,5,7,2,8]=>([(0,4),(0,7),(1,4),(1,7),(2,3),(2,7),(3,6),(4,5),(5,6),(7,5)],8)
[5,1,6,3,7,8,2,4]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(4,7),(6,7),(7,2)],8)
[1,3,6,8,5,7,2,4]=>([(0,3),(0,5),(2,7),(3,6),(4,1),(4,7),(5,2),(5,4),(5,6)],8)
[2,4,6,3,7,1,8,5]=>([(0,6),(0,7),(1,3),(1,4),(2,5),(3,5),(3,7),(4,2),(4,7),(5,6)],8)
[1,3,6,4,8,7,2,5]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,7),(4,1),(4,2)],8)
[4,1,6,7,3,8,2,5]=>([(0,6),(0,7),(1,2),(1,4),(1,6),(2,7),(3,5),(4,5),(4,7),(6,3)],8)
[5,4,6,1,3,7,2,8]=>([(0,5),(1,5),(2,3),(2,4),(3,7),(4,6),(5,6),(6,7)],8)
[6,4,1,5,2,3,7,8]=>([(0,7),(1,6),(2,3),(2,6),(3,5),(5,7),(6,7),(7,4)],8)
[4,1,7,5,2,3,8,6]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(3,4),(3,7),(5,7),(6,4),(6,7)],8)
[1,2,4,5,8,3,7,6]=>([(0,5),(2,6),(2,7),(3,4),(4,1),(4,6),(4,7),(5,2),(5,3)],8)
[7,2,3,5,4,1,8,6]=>([(0,3),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,3,5,4,1,7,6]=>([(0,6),(0,7),(1,2),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3),(5,4)],8)
[4,2,6,3,8,1,7,5]=>([(0,6),(0,7),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,7)],8)
[7,8,2,3,4,1,6,5]=>([(0,6),(0,7),(1,3),(2,4),(4,5),(5,6),(5,7)],8)
[7,8,1,4,6,3,2,5]=>([(0,5),(1,3),(1,4),(1,6),(3,7),(4,7),(6,2),(6,7)],8)
[3,1,6,4,7,8,2,5]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(3,4),(5,2),(6,5),(7,4),(7,5)],8)
[1,8,5,7,4,3,2,6]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(3,7),(4,7),(5,7),(6,1),(6,7)],8)
[7,1,5,8,4,3,2,6]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,7),(5,6),(5,7)],8)
[5,1,8,7,4,3,2,6]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7)],8)
[6,5,1,8,4,3,2,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7)],8)
[6,5,7,1,4,3,2,8]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(6,7)],8)
[7,5,8,1,4,3,2,6]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7)],8)
[5,8,7,1,4,3,2,6]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,7),(3,7),(4,7)],8)
[1,5,7,8,4,3,2,6]=>([(0,2),(0,3),(0,4),(0,6),(2,7),(3,7),(4,7),(5,1),(6,5),(6,7)],8)
[2,4,7,5,1,3,8,6]=>([(0,6),(1,4),(1,6),(2,7),(3,5),(3,7),(4,2),(4,3),(6,5),(6,7)],8)
[7,8,4,6,1,3,2,5]=>([(0,5),(1,6),(1,7),(2,3),(2,4),(3,7),(4,7)],8)
[7,8,5,4,1,3,2,6]=>([(0,7),(1,7),(2,4),(3,5),(3,6),(5,7),(6,7)],8)
[3,5,6,4,1,8,2,7]=>([(0,4),(0,7),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(5,2)],8)
[2,6,4,5,1,3,8,7]=>([(0,5),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,2),(5,6),(5,7)],8)
[1,6,5,8,4,3,2,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,5,1,4,3,2,7]=>([(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[7,6,5,1,4,3,2,8]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[3,4,6,2,7,1,5,8]=>([(0,7),(1,5),(1,7),(2,3),(3,4),(3,7),(4,5),(5,6),(7,6)],8)
[3,6,2,5,4,1,7,8]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(5,7),(6,7),(7,4)],8)
[3,2,7,5,4,1,6,8]=>([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3),(7,3)],8)
[4,3,6,2,8,1,5,7]=>([(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,7),(4,5),(4,6),(7,6)],8)
[6,1,2,5,4,7,8,3]=>([(0,7),(1,6),(3,7),(4,7),(6,2),(6,3),(6,4),(7,5)],8)
[6,2,4,5,1,3,7,8]=>([(0,7),(1,6),(2,3),(2,6),(3,5),(5,7),(6,7),(7,4)],8)
[4,2,8,5,1,3,7,6]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8)
[4,3,6,8,1,7,2,5]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(4,7),(6,3),(6,5)],8)
[5,3,6,4,1,7,2,8]=>([(0,5),(1,3),(1,7),(2,4),(2,5),(3,6),(4,7),(5,7),(7,6)],8)
[6,2,1,5,8,3,7,4]=>([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(4,5),(4,7),(6,3),(6,7)],8)
[1,6,7,4,8,3,5,2]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(3,6),(4,6),(4,7),(5,1)],8)
[1,4,6,3,7,5,8,2]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(3,6),(4,1),(4,6),(5,7),(6,7)],8)
[4,6,7,2,5,8,1,3]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(4,7),(6,7)],8)
[2,4,6,1,7,5,3,8]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,5),(3,2),(3,4),(4,7),(5,7),(6,7)],8)
[2,7,5,4,1,6,3,8]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(5,6),(7,6)],8)
[7,5,4,6,2,8,1,3]=>([(0,7),(1,5),(2,6),(3,6),(4,5),(4,7),(6,7)],8)
[1,7,5,4,3,8,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,6,3,5,8,7,2]=>([(0,2),(0,3),(0,4),(1,6),(1,7),(3,5),(4,1),(4,5),(5,6),(5,7)],8)
[1,5,8,4,3,6,7,2]=>([(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,1),(6,7),(7,2)],8)
[5,4,6,2,7,8,1,3]=>([(0,5),(1,6),(2,6),(3,5),(3,7),(6,7),(7,4)],8)
[2,5,4,1,6,7,3,8]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(4,5),(6,5),(7,4)],8)
[5,6,3,2,7,1,4,8]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(4,7),(6,5),(7,5)],8)
[5,6,3,2,7,1,8,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(3,4),(4,7),(7,5)],8)
[8,5,6,3,2,7,1,4]=>([(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(5,7)],8)
[5,4,6,2,8,1,7,3]=>([(0,5),(1,5),(2,4),(2,7),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
[2,4,1,7,8,5,3,6]=>([(0,3),(0,7),(1,5),(1,6),(1,7),(3,5),(3,6),(5,2),(6,4),(7,4)],8)
[2,5,4,1,6,3,8,7]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[5,6,3,2,1,8,4,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(4,7),(6,5)],8)
[3,5,2,1,6,4,7,8]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(3,7),(5,4),(6,5),(7,5)],8)
[6,8,4,3,2,1,5,7]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(7,6)],8)
[5,3,8,2,1,6,4,7]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,7),(3,4),(3,6),(3,7),(6,5),(7,5)],8)
[3,7,5,8,2,1,4,6]=>([(0,7),(1,7),(2,3),(2,4),(2,7),(3,6),(4,5),(4,6),(7,5)],8)
[7,3,2,8,5,1,6,4]=>([(0,6),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8)
[8,4,6,3,2,1,7,5]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[8,6,4,3,2,1,7,5]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,4,3,2,1,8,5]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,4,3,2,1,6,5]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5)],8)
[5,4,7,2,1,8,6,3]=>([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(5,6)],8)
[7,5,8,3,2,6,1,4]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(4,6)],8)
[5,7,3,2,1,6,8,4]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(7,5)],8)
[5,7,3,2,1,6,4,8]=>([(0,5),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(7,6)],8)
[6,3,7,2,5,1,8,4]=>([(0,6),(0,7),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[6,7,8,3,5,2,1,4]=>([(0,7),(1,7),(2,5),(3,4),(3,7),(5,6)],8)
[6,2,5,7,8,4,1,3]=>([(0,7),(1,6),(2,3),(2,4),(2,6),(4,7),(7,5)],8)
[2,1,5,7,8,6,3,4]=>([(0,6),(0,7),(1,6),(1,7),(5,2),(6,3),(7,4),(7,5)],8)
[3,6,7,2,8,1,4,5]=>([(0,7),(1,6),(1,7),(2,3),(2,7),(3,5),(5,6),(7,4)],8)
[6,3,7,2,8,1,4,5]=>([(0,7),(1,6),(1,7),(2,5),(3,5),(3,7),(5,6),(7,4)],8)
[3,2,6,1,7,4,5,8]=>([(0,5),(0,7),(1,4),(1,7),(2,4),(2,7),(3,6),(4,5),(5,6),(7,3)],8)
[3,5,2,1,4,7,6,8]=>([(0,7),(1,7),(2,3),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)
[7,3,5,2,1,8,4,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(6,5)],8)
[2,5,4,1,3,7,8,6]=>([(0,5),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(7,2)],8)
[2,5,8,4,1,3,7,6]=>([(0,5),(1,3),(1,4),(1,5),(3,6),(3,7),(4,2),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,1,7,8,3,6,5]=>([(0,3),(0,7),(1,6),(1,7),(3,4),(3,5),(3,6),(6,2),(7,4),(7,5)],8)
[3,7,2,8,6,1,4,5]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,6),(7,4)],8)
[3,6,8,2,1,7,4,5]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(3,5),(3,7),(6,4)],8)
[5,3,8,2,1,4,7,6]=>([(0,7),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(7,5),(7,6)],8)
[4,8,7,3,2,1,5,6]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,7),(7,6)],8)
[4,7,3,2,1,5,6,8]=>([(0,7),(1,7),(2,7),(3,4),(3,7),(4,6),(5,6),(7,5)],8)
[8,4,7,3,2,1,5,6]=>([(1,7),(2,7),(3,7),(4,5),(4,7),(7,6)],8)
[8,3,5,2,1,4,7,6]=>([(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(7,5),(7,6)],8)
[7,3,2,8,6,1,4,5]=>([(0,7),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[3,5,2,1,4,6,8,7]=>([(0,7),(1,7),(2,3),(2,7),(3,6),(6,4),(6,5),(7,6)],8)
[7,8,3,5,4,6,1,2]=>([(0,6),(1,5),(2,3),(2,4),(3,7),(4,7)],8)
[8,6,3,7,5,2,4,1]=>([(2,7),(3,6),(4,5),(4,6),(4,7)],8)
[5,4,1,6,3,2,8,7]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,1,6,2,3,8,7]=>([(0,7),(1,7),(2,3),(2,7),(3,4),(4,5),(4,6),(7,5),(7,6)],8)
[5,7,1,6,2,8,3,4]=>([(0,5),(0,6),(1,3),(1,6),(3,7),(4,2),(5,4),(5,7),(6,7)],8)
[5,7,1,6,2,8,4,3]=>([(0,4),(0,6),(1,5),(1,6),(4,7),(5,2),(5,3),(5,7),(6,7)],8)
[2,7,6,5,1,8,3,4]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(6,5)],8)
[2,7,6,5,1,8,4,3]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7)],8)
[2,3,6,5,1,4,8,7]=>([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,2),(4,3),(4,5),(5,6),(5,7)],8)
[2,3,6,4,1,5,8,7]=>([(0,7),(1,4),(2,7),(3,5),(3,6),(4,2),(4,3),(7,5),(7,6)],8)
[2,3,6,1,5,4,8,7]=>([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,6,1,4,8,5,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(6,2),(6,7)],8)
[2,7,6,1,4,8,3,5]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,7),(3,7),(5,4),(6,4),(6,7)],8)
[7,3,5,1,8,4,2,6]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,7),(4,6),(4,7),(5,7)],8)
[7,3,5,1,8,6,4,2]=>([(0,7),(1,4),(1,5),(2,3),(2,5),(2,6),(2,7),(4,6),(4,7)],8)
[2,7,6,1,5,8,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(6,7)],8)
[2,7,6,4,1,8,5,3]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,5),(4,7)],8)
[2,1,7,6,3,8,5,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,7),(5,7),(6,2),(6,3),(6,7)],8)
[2,1,7,6,3,8,4,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(4,7),(5,7),(6,2),(6,7)],8)
[5,7,3,6,2,8,4,1]=>([(1,5),(1,7),(2,5),(2,6),(3,4),(3,6),(4,7),(6,7)],8)
[2,7,6,4,1,8,3,5]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,5),(4,7),(6,5)],8)
[7,3,5,1,8,6,2,4]=>([(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,5),(4,6),(4,7)],8)
[6,3,5,1,8,2,4,7]=>([(0,6),(0,7),(1,4),(1,6),(2,3),(2,5),(3,6),(3,7),(4,5),(5,7)],8)
[2,3,4,8,7,6,1,5]=>([(0,7),(1,5),(5,6),(6,2),(6,3),(6,4),(6,7)],8)
[2,3,4,8,5,7,1,6]=>([(0,7),(1,4),(4,6),(5,2),(5,7),(6,3),(6,5)],8)
[7,3,5,4,8,1,2,6]=>([(0,6),(1,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,3,5,8,7,2,1]=>([(2,5),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,4,5,8,7,3,6]=>([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(4,5),(6,5),(7,4)],8)
[6,4,3,5,8,7,1,2]=>([(0,5),(1,5),(2,6),(2,7),(3,4),(5,6),(5,7)],8)
[7,3,5,4,8,1,6,2]=>([(0,6),(1,3),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,4,8,7,5,6,1]=>([(1,6),(5,4),(6,7),(7,2),(7,3),(7,5)],8)
[2,3,4,8,7,5,1,6]=>([(0,7),(1,5),(4,7),(5,6),(6,2),(6,3),(6,4)],8)
[2,7,6,5,4,8,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7)],8)
[7,3,5,6,8,4,1,2]=>([(0,7),(1,4),(2,3),(2,6),(5,7),(6,5)],8)
[7,3,5,6,8,1,4,2]=>([(0,7),(1,3),(1,6),(2,4),(2,6),(4,5),(5,7)],8)
[7,3,5,6,8,1,2,4]=>([(0,6),(1,3),(2,4),(2,7),(3,7),(4,5),(5,6)],8)
[6,4,1,5,8,7,2,3]=>([(0,5),(1,6),(1,7),(2,3),(2,5),(3,4),(5,6),(5,7)],8)
[6,4,1,5,8,7,3,2]=>([(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(5,6),(5,7)],8)
[6,4,1,5,8,3,7,2]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(2,5),(4,7),(5,6),(5,7)],8)
[5,7,1,6,3,8,2,4]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(3,7),(4,7),(6,7)],8)
[6,4,1,5,8,3,2,7]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(5,7)],8)
[7,4,1,5,8,2,3,6]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,7),(5,6),(5,7)],8)
[7,4,1,5,8,2,6,3]=>([(0,6),(1,5),(2,3),(2,5),(3,4),(3,7),(5,6),(5,7)],8)
[6,3,5,7,8,2,1,4]=>([(0,7),(1,7),(2,6),(3,4),(3,7),(4,6),(6,5)],8)
[6,3,5,7,8,2,4,1]=>([(1,7),(2,6),(3,4),(3,6),(4,7),(7,5)],8)
[2,7,6,4,5,8,3,1]=>([(1,2),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,3)],8)
[5,7,3,6,1,8,4,2]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(2,7),(4,7),(6,7)],8)
[2,1,4,5,8,6,3,7]=>([(0,6),(0,7),(1,6),(1,7),(3,5),(4,2),(4,3),(6,5),(7,4)],8)
[7,3,5,4,8,6,2,1]=>([(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,4,8,5,6,1,7]=>([(0,7),(1,5),(3,7),(4,3),(5,6),(6,2),(6,4)],8)
[2,3,4,8,7,1,6,5]=>([(0,6),(0,7),(1,4),(4,5),(5,2),(5,3),(5,6),(5,7)],8)
[2,3,4,8,1,7,6,5]=>([(0,5),(0,6),(0,7),(1,3),(3,4),(4,2),(4,5),(4,6),(4,7)],8)
[2,3,4,8,1,6,7,5]=>([(0,6),(0,7),(1,4),(4,5),(5,2),(5,6),(5,7),(7,3)],8)
[2,3,4,8,5,1,7,6]=>([(0,6),(0,7),(1,4),(3,6),(3,7),(4,5),(5,2),(5,3)],8)
[6,3,5,4,8,2,7,1]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,3,5,8,2,1,6]=>([(0,6),(1,7),(2,7),(3,5),(4,5),(5,6),(5,7)],8)
[2,1,4,5,8,3,7,6]=>([(0,6),(0,7),(1,6),(1,7),(3,2),(3,4),(3,5),(6,3),(7,4),(7,5)],8)
[7,4,3,5,8,2,6,1]=>([(1,5),(2,5),(3,7),(4,6),(5,6),(5,7)],8)
[6,3,5,4,8,2,1,7]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,4,8,5,1,6,7]=>([(0,7),(1,5),(3,7),(5,6),(6,2),(6,3),(7,4)],8)
[2,3,4,8,1,6,5,7]=>([(0,6),(0,7),(1,3),(3,4),(4,2),(4,6),(4,7),(6,5),(7,5)],8)
[2,3,4,8,1,5,7,6]=>([(0,7),(1,5),(5,6),(6,2),(6,7),(7,3),(7,4)],8)
[7,8,2,6,1,5,3,4]=>([(0,6),(0,7),(1,3),(2,4),(2,6),(2,7),(7,5)],8)
[7,8,1,6,2,5,3,4]=>([(0,5),(1,4),(1,7),(6,3),(7,2),(7,6)],8)
[1,8,6,7,2,5,3,4]=>([(0,4),(0,6),(0,7),(5,3),(6,1),(7,2),(7,5)],8)
[1,8,5,7,2,6,3,4]=>([(0,3),(0,5),(0,6),(4,1),(5,2),(5,7),(6,4),(6,7)],8)
[5,8,1,7,2,6,3,4]=>([(0,5),(0,7),(1,3),(1,6),(1,7),(4,2),(5,4),(5,6)],8)
[5,8,2,7,1,6,3,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(6,3)],8)
[2,8,6,7,1,5,3,4]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(5,3),(7,2)],8)
[2,8,5,7,1,6,3,4]=>([(0,6),(0,7),(1,4),(1,5),(1,7),(5,3),(5,6),(7,2)],8)
[2,8,1,7,5,6,3,4]=>([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(6,4),(7,3)],8)
[1,8,2,7,5,6,3,4]=>([(0,4),(0,7),(5,3),(6,2),(7,1),(7,5),(7,6)],8)
[1,8,2,7,4,6,3,5]=>([(0,4),(0,6),(3,7),(5,2),(5,7),(6,1),(6,3),(6,5)],8)
[2,8,1,7,4,6,3,5]=>([(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(6,4),(7,2),(7,4)],8)
[2,8,4,7,1,6,3,5]=>([(0,6),(0,7),(1,3),(1,4),(1,7),(4,2),(4,5),(4,6),(7,5)],8)
[4,8,2,7,1,6,3,5]=>([(0,4),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(4,6)],8)
[4,8,1,7,2,6,3,5]=>([(0,4),(0,7),(1,3),(1,5),(1,6),(1,7),(2,5),(4,2),(4,6)],8)
[1,8,4,7,2,6,3,5]=>([(0,3),(0,4),(0,5),(2,6),(4,2),(4,7),(5,1),(5,6),(5,7)],8)
[4,8,1,7,5,6,2,3]=>([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(5,3),(7,2)],8)
[1,8,4,7,5,6,2,3]=>([(0,4),(0,6),(0,7),(5,3),(6,1),(7,2),(7,5)],8)
[1,8,3,7,5,6,2,4]=>([(0,3),(0,4),(0,6),(4,7),(5,2),(6,1),(6,5),(6,7)],8)
[3,8,1,7,5,6,2,4]=>([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(4,5),(7,2)],8)
[3,8,1,7,4,6,2,5]=>([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(4,5),(7,2),(7,5)],8)
[1,8,3,7,4,6,2,5]=>([(0,3),(0,4),(0,6),(4,7),(5,2),(5,7),(6,1),(6,5)],8)
[1,8,3,7,2,6,4,5]=>([(0,3),(0,4),(0,5),(4,6),(4,7),(5,2),(5,6),(5,7),(7,1)],8)
[3,8,1,7,2,6,4,5]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(1,7),(4,5),(4,7),(7,2)],8)
[3,8,2,7,1,6,4,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[3,8,2,7,4,6,1,5]=>([(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(7,3),(7,5)],8)
[3,8,2,7,5,6,1,4]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3)],8)
[4,8,2,7,5,6,1,3]=>([(0,5),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(7,3)],8)
[4,8,3,7,5,6,1,2]=>([(0,6),(0,7),(1,3),(2,4),(2,6),(2,7),(7,5)],8)
[3,8,4,7,5,6,1,2]=>([(0,5),(1,4),(1,7),(6,3),(7,2),(7,6)],8)
[2,8,4,7,5,6,1,3]=>([(0,7),(1,4),(1,6),(1,7),(5,3),(6,2),(6,5)],8)
[2,8,3,7,5,6,1,4]=>([(0,7),(1,4),(1,6),(5,3),(6,2),(6,5),(6,7)],8)
[2,8,3,7,4,6,1,5]=>([(0,7),(1,4),(1,6),(5,3),(5,7),(6,2),(6,5)],8)
[2,8,3,7,1,6,4,5]=>([(0,6),(0,7),(1,4),(1,5),(5,3),(5,6),(5,7),(7,2)],8)
[2,8,1,7,3,6,4,5]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(5,3),(7,2),(7,5)],8)
[7,5,2,8,6,4,1,3]=>([(0,7),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[7,5,1,8,6,2,3,4]=>([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(5,4)],8)
[7,4,8,6,1,5,2,3]=>([(0,7),(1,4),(1,6),(2,3),(2,6),(2,7),(4,5)],8)
[7,1,8,4,5,2,6,3]=>([(0,7),(1,4),(1,5),(1,7),(3,6),(4,3),(5,2),(5,6)],8)
[6,8,1,7,4,2,5,3]=>([(0,4),(0,7),(1,3),(1,5),(1,7),(3,6),(5,2),(5,6)],8)
[1,6,7,4,2,8,5,3]=>([(0,3),(0,4),(0,5),(2,7),(3,6),(3,7),(4,2),(5,1),(5,6),(5,7)],8)
[1,6,7,3,8,5,2,4]=>([(0,3),(0,4),(0,5),(2,6),(3,7),(4,2),(5,1),(5,6),(5,7)],8)
[7,1,8,3,5,6,2,4]=>([(0,7),(1,3),(1,5),(1,7),(3,6),(4,2),(5,4),(5,6)],8)
[7,3,8,6,2,5,1,4]=>([(0,7),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[7,4,2,8,6,1,3,5]=>([(0,7),(1,5),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(5,6)],8)
[7,3,1,8,4,2,5,6]=>([(0,7),(1,5),(1,7),(2,3),(2,5),(2,7),(3,6),(5,6),(6,4)],8)
[7,2,8,4,1,5,3,6]=>([(0,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,6),(6,4),(7,4)],8)
[7,2,8,3,5,1,6,4]=>([(0,5),(1,6),(1,7),(2,3),(2,5),(3,4),(3,7),(4,6)],8)
[7,2,8,3,4,6,1,5]=>([(0,7),(1,6),(2,3),(2,6),(3,5),(5,4),(5,7)],8)
[1,5,7,8,2,6,3,4]=>([(0,5),(0,6),(3,2),(4,1),(5,3),(5,7),(6,4),(6,7)],8)
[6,2,3,8,5,7,4,1]=>([(1,3),(2,6),(2,7),(3,4),(3,5),(3,6),(5,7)],8)
[6,2,4,8,5,3,1,7]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(3,7),(4,5),(4,6),(5,7)],8)
[6,3,1,4,8,5,2,7]=>([(0,6),(1,5),(1,7),(2,4),(2,6),(3,7),(4,7),(6,3),(6,5)],8)
[2,6,3,7,8,5,4,1]=>([(1,4),(1,6),(4,7),(6,2),(6,3),(6,7),(7,5)],8)
[2,6,3,7,8,4,5,1]=>([(1,3),(1,6),(3,7),(5,2),(6,5),(6,7),(7,4)],8)
[2,4,7,3,5,6,8,1]=>([(1,2),(1,5),(2,7),(3,6),(4,6),(5,4),(5,7),(7,3)],8)
[2,4,7,3,6,8,5,1]=>([(1,3),(1,4),(2,7),(3,5),(3,6),(4,2),(4,5),(4,6),(6,7)],8)
[2,5,3,7,8,1,6,4]=>([(0,5),(0,7),(1,3),(1,4),(3,6),(3,7),(4,5),(4,6),(4,7),(6,2)],8)
[3,1,5,4,7,8,2,6]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,7),(4,2),(5,4),(5,7),(6,4),(6,7)],8)
[5,3,1,4,8,2,6,7]=>([(0,6),(0,7),(1,5),(2,3),(2,5),(3,7),(5,6),(5,7),(7,4)],8)
[5,2,4,8,6,1,3,7]=>([(0,7),(1,3),(1,7),(2,5),(2,6),(3,5),(3,6),(6,4),(7,4)],8)
[5,2,3,8,4,6,7,1]=>([(1,6),(1,7),(2,3),(3,5),(3,7),(5,6),(6,4)],8)
[4,8,2,3,6,1,7,5]=>([(0,5),(0,7),(1,4),(2,3),(2,6),(2,7),(4,6),(4,7),(6,5)],8)
[4,8,2,3,5,7,1,6]=>([(0,6),(1,4),(2,3),(2,7),(4,7),(7,5),(7,6)],8)
[1,4,7,8,3,6,2,5]=>([(0,2),(0,3),(0,5),(2,7),(3,6),(3,7),(4,1),(5,4),(5,6),(5,7)],8)
[4,8,1,3,6,7,2,5]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(2,7),(3,6),(3,7),(6,4)],8)
[5,3,8,2,4,7,1,6]=>([(0,7),(1,5),(2,4),(2,6),(2,7),(3,4),(3,5),(5,6),(5,7)],8)
[5,4,3,8,1,2,7,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,6),(4,7)],8)
[6,4,2,8,1,3,7,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(3,4),(3,6),(4,5),(4,7)],8)
[6,3,8,2,5,1,7,4]=>([(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(5,7)],8)
[6,3,8,1,4,7,2,5]=>([(0,3),(0,7),(1,5),(1,6),(2,6),(2,7),(3,4),(7,4),(7,5)],8)
[5,8,1,3,6,2,7,4]=>([(0,4),(0,7),(1,2),(1,3),(2,5),(2,7),(3,5),(3,6),(7,6)],8)
[1,5,7,4,2,6,8,3]=>([(0,3),(0,4),(0,5),(2,6),(3,7),(4,1),(4,7),(5,2),(5,7),(7,6)],8)
[5,8,1,4,2,6,3,7]=>([(0,4),(0,7),(1,2),(1,5),(2,7),(3,6),(5,3),(5,7),(7,6)],8)
[5,8,4,1,2,7,6,3]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(2,7),(4,5),(4,6),(4,7)],8)
[6,5,1,2,8,7,3,4]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4)],8)
[6,5,3,1,4,2,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,1,6,4,2,7,8]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(5,7),(6,7),(7,4)],8)
[5,2,6,4,1,7,3,8]=>([(0,5),(1,4),(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(5,7),(7,6)],8)
[4,6,1,7,5,2,8,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,5),(4,2),(4,7),(5,7),(6,7)],8)
[4,5,1,7,2,6,3,8]=>([(0,3),(1,4),(1,6),(2,7),(3,5),(3,6),(4,2),(4,5),(5,7),(6,7)],8)
[3,5,6,1,2,8,7,4]=>([(0,3),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,2)],8)
[3,5,7,1,8,6,2,4]=>([(0,4),(0,6),(1,3),(1,5),(1,7),(2,5),(3,6),(4,2),(4,7)],8)
[3,6,2,7,5,1,8,4]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(4,7),(5,7)],8)
[4,2,5,7,1,8,6,3]=>([(0,7),(1,5),(1,7),(2,4),(2,5),(2,6),(3,6),(7,3),(7,4)],8)
[3,4,7,2,8,6,1,5]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(3,6),(3,7),(4,5)],8)
[3,4,5,8,2,7,1,6]=>([(0,3),(1,7),(2,6),(2,7),(3,5),(5,4),(5,6),(5,7)],8)
[3,4,6,2,8,1,5,7]=>([(0,7),(1,5),(1,7),(2,3),(3,4),(3,7),(4,5),(4,6),(7,6)],8)
[3,5,2,6,8,1,7,4]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,7),(3,6),(6,4),(6,5)],8)
[4,2,5,6,1,3,8,7]=>([(0,6),(1,7),(2,6),(2,7),(3,4),(3,5),(6,3),(7,4),(7,5)],8)
[4,3,1,2,5,6,8,7]=>([(0,7),(1,7),(2,5),(5,7),(6,3),(6,4),(7,6)],8)
[5,3,6,8,4,7,2,1]=>([(2,6),(3,4),(3,6),(4,7),(6,5),(6,7)],8)
[3,7,2,5,4,8,6,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,2,5,7,3,6,1]=>([(2,6),(3,4),(3,6),(4,7),(6,5),(6,7)],8)
[4,7,2,5,8,3,6,1]=>([(1,4),(1,5),(2,3),(2,5),(3,6),(4,7),(5,6),(5,7)],8)
[5,2,6,8,4,3,7,1]=>([(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(6,5),(6,7)],8)
[3,1,6,5,4,8,2,7]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,6,5,8,3,2,7]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,7),(3,7),(5,4),(5,7),(6,4),(6,7)],8)
[5,1,6,8,4,3,2,7]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(6,5),(6,7)],8)
[8,5,4,7,6,3,2,1]=>([(4,6),(4,7),(5,6),(5,7)],8)
[5,7,1,8,4,3,2,6]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(5,6)],8)
[2,7,1,5,4,3,8,6]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,1,5,4,3,7,6]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,1,5,7,3,2,6]=>([(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(6,5),(6,7)],8)
[8,5,6,7,1,3,2,4]=>([(1,6),(2,4),(2,5),(4,7),(5,7),(6,3)],8)
[8,4,6,1,7,3,2,5]=>([(1,5),(1,7),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6)],8)
[8,3,6,1,4,7,2,5]=>([(1,4),(1,5),(2,3),(2,5),(3,6),(4,7),(5,6),(5,7)],8)
[2,7,6,1,4,3,8,5]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,7),(3,7),(5,4),(5,7),(6,4),(6,7)],8)
[6,7,8,5,1,3,2,4]=>([(1,6),(2,4),(2,5),(4,7),(5,7),(6,3)],8)
[5,7,6,8,2,3,4,1]=>([(1,6),(2,4),(2,5),(4,7),(5,7),(6,3)],8)
[5,7,2,8,4,3,6,1]=>([(1,5),(1,7),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6)],8)
[6,7,8,2,4,3,5,1]=>([(1,6),(2,4),(2,5),(4,7),(5,7),(6,3)],8)
[4,7,6,2,8,3,5,1]=>([(1,5),(1,7),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6)],8)
[8,3,6,2,4,7,5,1]=>([(2,6),(3,4),(3,6),(4,7),(6,5),(6,7)],8)
[3,7,6,2,4,8,5,1]=>([(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(6,5),(6,7)],8)
[5,7,3,8,4,6,2,1]=>([(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)
[4,7,3,5,8,6,2,1]=>([(2,6),(3,4),(3,6),(4,7),(6,5),(6,7)],8)
[8,7,2,1,4,3,6,5]=>([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,3,1,4,6,2,5]=>([(2,6),(3,4),(3,6),(4,7),(6,5),(6,7)],8)
[8,7,6,3,2,5,4,1]=>([(4,6),(4,7),(5,6),(5,7)],8)
[8,7,3,5,1,6,2,4]=>([(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)
[8,7,2,5,1,3,6,4]=>([(2,6),(3,4),(3,6),(4,7),(6,5),(6,7)],8)
[8,2,6,5,1,3,7,4]=>([(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(6,5),(6,7)],8)
[8,4,6,5,7,1,2,3]=>([(1,6),(2,4),(2,5),(4,7),(5,7),(6,3)],8)
[5,7,6,8,4,1,2,3]=>([(1,6),(2,4),(2,5),(4,7),(5,7),(6,3)],8)
[4,7,6,5,8,1,2,3]=>([(0,6),(1,3),(1,4),(1,5),(3,7),(4,7),(5,7),(6,2)],8)
[3,7,6,5,1,8,2,4]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(5,6)],8)
[3,6,4,8,7,5,1,2]=>([(0,4),(1,3),(1,5),(3,6),(3,7),(5,2),(5,6),(5,7)],8)
[5,6,4,3,8,7,1,2]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(3,5),(5,6),(5,7)],8)
[1,6,2,4,7,8,5,3]=>([(0,4),(0,6),(4,7),(5,2),(5,7),(6,1),(6,5),(7,3)],8)
[3,6,2,4,8,1,5,7]=>([(0,7),(1,6),(2,3),(2,7),(3,4),(3,5),(6,5),(7,4),(7,6)],8)
[3,4,7,2,8,1,6,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(3,6),(3,7),(4,5)],8)
[1,4,7,2,5,8,6,3]=>([(0,4),(0,5),(3,6),(4,2),(4,7),(5,3),(5,7),(7,1),(7,6)],8)
[7,3,8,4,5,6,1,2]=>([(0,7),(1,4),(2,6),(2,7),(5,3),(6,5)],8)
[3,5,6,4,8,7,1,2]=>([(0,4),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(5,2)],8)
[4,6,8,5,3,7,1,2]=>([(0,7),(1,4),(2,5),(2,6),(5,7),(6,3),(6,7)],8)
[6,8,5,3,4,7,1,2]=>([(0,7),(1,4),(2,6),(3,5),(3,7),(6,7)],8)
[1,6,5,4,2,8,7,3]=>([(0,2),(0,3),(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,6),(5,7)],8)
[1,8,5,2,7,3,6,4]=>([(0,2),(0,3),(0,5),(3,6),(3,7),(4,1),(4,7),(5,4),(5,6)],8)
[4,2,7,5,1,8,6,3]=>([(0,5),(0,6),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(5,7),(6,3),(6,7)],8)
[7,8,1,4,2,6,5,3]=>([(0,4),(1,3),(1,5),(3,6),(3,7),(5,2),(5,6),(5,7)],8)
[1,3,6,4,8,2,5,7]=>([(0,3),(0,4),(1,5),(1,7),(2,5),(2,6),(3,6),(4,1),(4,2),(6,7)],8)
[4,1,7,5,3,2,6,8]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,7),(3,7),(5,7),(6,4),(7,4)],8)
[6,5,1,3,4,2,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,5,3,1,7,2,6]=>([(0,6),(0,7),(1,4),(1,6),(2,3),(2,5),(4,7),(5,6),(5,7)],8)
[7,4,5,3,2,8,1,6]=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[5,8,3,6,1,4,2,7]=>([(0,5),(0,6),(1,3),(1,5),(2,4),(2,6),(4,7),(5,7),(6,7)],8)
[2,5,8,6,4,1,3,7]=>([(0,6),(1,4),(1,5),(1,6),(3,7),(4,7),(5,2),(5,3),(6,7)],8)
[1,4,6,2,5,8,3,7]=>([(0,3),(0,4),(1,7),(2,6),(2,7),(3,1),(3,5),(4,2),(4,5),(5,6),(5,7)],8)
[3,6,2,5,8,1,7,4]=>([(0,6),(0,7),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7)],8)
[1,6,8,7,4,2,3,5]=>([(0,4),(0,5),(0,6),(3,7),(4,7),(5,3),(6,1),(6,2)],8)
[6,1,7,8,2,4,3,5]=>([(0,7),(1,5),(1,7),(3,6),(4,6),(5,3),(5,4),(7,2)],8)
[7,1,8,6,3,4,2,5]=>([(0,7),(1,2),(1,4),(1,5),(1,7),(3,6),(4,6),(5,3)],8)
[7,2,1,4,5,6,8,3]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(4,6),(7,3)],8)
[1,2,8,3,6,5,7,4]=>([(0,5),(3,7),(4,7),(5,2),(5,6),(6,1),(6,3),(6,4)],8)
[6,1,3,2,7,5,8,4]=>([(0,7),(1,2),(1,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[1,6,3,8,5,7,2,4]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(3,7),(4,1),(4,6),(4,7)],8)
[2,6,4,1,7,5,8,3]=>([(0,2),(0,3),(0,5),(1,5),(1,6),(1,7),(2,7),(3,6),(3,7),(6,4),(7,4)],8)
[7,6,5,8,1,4,2,3]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(5,6)],8)
[5,8,6,7,3,2,1,4]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(5,6)],8)
[1,6,4,3,7,2,8,5]=>([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(7,5)],8)
[2,6,3,4,8,7,1,5]=>([(0,7),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(4,2)],8)
[7,1,3,4,5,2,8,6]=>([(0,7),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(4,2),(5,4)],8)
[1,8,3,5,4,2,7,6]=>([(0,3),(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(4,6),(4,7),(5,1),(5,2)],8)
[4,1,6,3,8,2,7,5]=>([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7)],8)
[7,8,2,4,6,3,1,5]=>([(0,7),(1,4),(2,5),(2,6),(5,7),(6,3),(6,7)],8)
[3,2,6,4,7,8,1,5]=>([(0,4),(1,6),(1,7),(2,6),(2,7),(5,3),(6,5),(7,4),(7,5)],8)
[2,8,5,7,4,3,1,6]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(4,7),(5,7),(6,2),(6,7)],8)
[7,2,5,8,3,4,1,6]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(4,7),(5,7)],8)
[5,3,8,7,1,2,6,4]=>([(0,4),(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(3,6),(3,7)],8)
[6,5,3,8,2,1,7,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7)],8)
[7,5,8,4,1,2,3,6]=>([(0,7),(1,6),(2,6),(2,7),(3,4),(4,5),(5,7)],8)
[5,8,7,4,1,3,2,6]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(5,7),(6,7)],8)
[3,5,7,8,4,1,2,6]=>([(0,4),(1,3),(1,6),(3,7),(4,7),(5,2),(6,5),(6,7)],8)
[1,4,7,5,3,8,2,6]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(2,7),(3,7),(4,6),(4,7),(5,1),(5,2)],8)
[2,4,6,7,3,1,8,5]=>([(0,6),(0,7),(1,3),(1,5),(2,6),(3,6),(3,7),(4,2),(5,4),(5,7)],8)
[7,8,4,6,3,1,2,5]=>([(0,7),(1,4),(2,6),(3,5),(3,7),(6,7)],8)
[2,6,4,5,3,8,1,7]=>([(0,7),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[3,6,5,8,4,2,1,7]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,8,4,2,3,1,7]=>([(0,7),(1,7),(2,4),(3,5),(4,7),(5,6),(5,7)],8)
[6,8,5,4,3,1,2,7]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,7),(6,7)],8)
[6,1,4,2,8,5,7,3]=>([(0,6),(0,7),(1,3),(1,4),(3,5),(3,7),(4,2),(4,5),(4,7),(5,6)],8)
[4,8,6,5,3,2,7,1]=>([(1,7),(2,7),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[8,6,5,1,2,4,7,3]=>([(1,4),(2,7),(3,7),(4,5),(4,6),(6,7)],8)
[6,7,5,8,2,1,4,3]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(4,7)],8)
[1,7,5,8,2,6,4,3]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(4,7),(5,1),(5,2),(5,7)],8)
[1,3,8,5,7,6,2,4]=>([(0,4),(0,6),(4,7),(5,2),(5,3),(6,1),(6,5),(6,7)],8)
[6,3,8,5,7,1,2,4]=>([(0,5),(0,7),(1,3),(2,4),(2,5),(2,6),(3,6),(4,7)],8)
[8,3,1,5,6,2,7,4]=>([(1,5),(1,6),(2,3),(2,5),(3,6),(3,7),(4,7),(5,4)],8)
[6,8,5,2,1,4,7,3]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(6,7)],8)
[3,8,2,5,6,1,7,4]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,5),(2,7),(4,6),(5,4)],8)
[2,8,1,5,6,3,7,4]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(4,5),(6,4),(7,3),(7,5)],8)
[8,1,2,5,6,3,7,4]=>([(1,6),(3,7),(4,3),(5,2),(5,7),(6,4),(6,5)],8)
[1,8,2,5,7,6,3,4]=>([(0,4),(0,7),(5,3),(6,1),(6,2),(7,5),(7,6)],8)
[5,1,8,6,2,7,3,4]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(3,2),(4,3),(4,5),(7,5)],8)
[2,5,8,6,1,7,3,4]=>([(0,6),(0,7),(1,5),(1,7),(4,6),(5,3),(5,4),(7,2)],8)
[8,6,1,5,7,2,3,4]=>([(1,7),(2,4),(2,6),(4,7),(5,3),(6,5)],8)
[3,8,6,5,7,1,2,4]=>([(0,5),(1,2),(1,3),(1,4),(1,7),(3,6),(4,6),(5,7)],8)
[7,6,5,8,1,2,4,3]=>([(0,4),(1,7),(2,7),(3,7),(4,5),(4,6)],8)
[5,1,7,6,8,4,2,3]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(4,2),(6,5),(7,5)],8)
[5,1,3,7,8,6,2,4]=>([(0,6),(0,7),(1,3),(1,4),(3,5),(4,5),(4,6),(4,7),(7,2)],8)
[7,2,5,8,1,6,4,3]=>([(0,7),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(3,7)],8)
[3,2,8,5,7,6,1,4]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4)],8)
[8,2,1,5,7,6,3,4]=>([(1,6),(1,7),(2,6),(2,7),(6,5),(7,3),(7,4)],8)
[5,2,8,6,1,7,3,4]=>([(0,4),(0,6),(1,5),(1,7),(2,5),(2,6),(2,7),(6,3),(7,4)],8)
[1,2,8,6,5,7,3,4]=>([(0,6),(3,7),(4,7),(5,2),(6,1),(6,3),(6,4),(6,5)],8)
[4,2,1,3,6,7,8,5]=>([(0,6),(0,7),(1,5),(2,5),(3,4),(5,6),(5,7),(7,3)],8)
[8,2,5,6,3,7,1,4]=>([(1,6),(2,3),(2,4),(3,5),(4,6),(4,7),(5,7)],8)
[7,2,6,5,4,1,8,3]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7)],8)
[6,1,3,5,4,7,8,2]=>([(0,7),(1,2),(1,6),(3,7),(4,7),(6,3),(6,4),(7,5)],8)
[6,1,5,3,4,7,8,2]=>([(0,7),(1,2),(1,4),(1,6),(3,7),(4,7),(6,3),(7,5)],8)
[7,5,6,2,4,1,8,3]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(4,7),(5,7)],8)
[8,5,2,6,3,7,1,4]=>([(1,5),(2,6),(3,4),(3,5),(4,6),(4,7),(5,7)],8)
[4,3,1,2,6,7,8,5]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(3,5),(4,6),(4,7),(7,3)],8)
[8,1,6,5,7,3,2,4]=>([(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(5,6)],8)
[3,5,8,6,2,7,1,4]=>([(0,7),(1,3),(1,7),(2,6),(2,7),(3,4),(3,5),(5,6)],8)
[5,8,1,6,3,7,2,4]=>([(0,4),(0,7),(1,2),(1,3),(1,7),(2,5),(3,5),(3,6),(7,6)],8)
[1,8,5,6,3,7,2,4]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(3,6),(4,6),(4,7),(5,1)],8)
[1,7,6,5,4,2,8,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(2,7),(3,7),(4,7),(5,7),(6,1),(6,7)],8)
[5,7,6,1,4,2,8,3]=>([(0,3),(0,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,2),(6,7)],8)
[7,1,4,2,6,5,8,3]=>([(0,7),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6),(5,7),(6,7)],8)
[4,1,7,3,5,6,8,2]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(3,7),(4,5),(6,5),(7,4)],8)
[2,7,4,1,5,6,8,3]=>([(0,6),(0,7),(1,2),(1,4),(1,6),(2,7),(3,5),(4,5),(7,3)],8)
[5,7,6,4,1,2,8,3]=>([(0,7),(1,6),(2,4),(2,5),(4,7),(5,7),(6,3),(6,7)],8)
[4,7,6,1,5,2,8,3]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(3,7),(4,7),(5,2),(5,7),(6,7)],8)
[1,7,6,4,5,2,8,3]=>([(0,3),(0,4),(0,5),(0,6),(2,7),(3,7),(4,7),(5,2),(6,1),(6,7)],8)
[1,8,3,6,5,7,2,4]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(4,7),(5,1),(5,2),(5,7)],8)
[3,8,1,6,5,7,2,4]=>([(0,3),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(3,5),(6,4),(7,4)],8)
[8,1,3,5,7,6,2,4]=>([(1,4),(1,5),(4,7),(5,6),(5,7),(6,2),(6,3)],8)
[7,8,5,4,1,6,2,3]=>([(0,7),(1,7),(2,4),(3,5),(3,7),(5,6)],8)
[6,1,5,4,3,7,8,2]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(3,7),(4,7),(5,7),(7,6)],8)
[7,5,6,4,2,1,8,3]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,7)],8)
[8,3,2,6,5,7,1,4]=>([(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
[7,4,6,2,5,1,8,3]=>([(0,7),(1,5),(1,7),(2,5),(2,6),(3,4),(3,6),(4,7),(6,7)],8)
[6,1,4,3,5,7,8,2]=>([(0,7),(1,3),(1,4),(1,5),(4,6),(5,6),(6,7),(7,2)],8)
[6,1,3,4,5,7,8,2]=>([(0,7),(1,2),(1,6),(3,7),(5,3),(6,5),(7,4)],8)
[7,2,6,4,5,1,8,3]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(3,5),(4,7),(5,7)],8)
[8,2,3,6,5,7,1,4]=>([(1,3),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[5,4,7,3,6,8,1,2]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(5,6),(7,6)],8)
[3,4,7,8,5,6,1,2]=>([(0,4),(1,7),(5,3),(6,2),(7,5),(7,6)],8)
[3,4,7,2,5,1,6,8]=>([(0,7),(1,5),(2,3),(3,4),(3,7),(4,6),(5,6),(7,5)],8)
[1,4,7,2,5,8,3,6]=>([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7)],8)
[3,6,2,4,7,1,5,8]=>([(0,6),(1,7),(2,3),(2,7),(3,5),(5,4),(6,4),(7,5),(7,6)],8)
[6,8,3,4,5,7,1,2]=>([(0,4),(1,6),(2,5),(2,7),(3,7),(6,3)],8)
[4,3,6,7,5,8,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(4,7),(5,7),(6,4)],8)
[6,3,7,5,8,4,1,2]=>([(0,6),(1,4),(2,3),(2,5),(2,6),(5,7),(6,7)],8)
[7,3,8,6,4,5,1,2]=>([(0,7),(1,5),(2,4),(2,6),(2,7),(6,3)],8)
[3,2,7,6,5,1,4,8]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,2,7,6,5,8,3,4]=>([(0,6),(2,7),(3,7),(4,7),(5,1),(6,2),(6,3),(6,4),(6,5)],8)
[4,8,2,6,1,5,3,7]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[2,3,8,6,4,1,5,7]=>([(0,7),(1,5),(3,7),(4,6),(5,2),(5,3),(5,4),(7,6)],8)
[4,3,6,2,5,1,8,7]=>([(0,5),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,2,5,1,4,6]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(5,6),(7,6)],8)
[7,8,1,2,5,6,3,4]=>([(0,4),(1,7),(5,3),(6,2),(7,5),(7,6)],8)
[4,1,6,2,5,7,3,8]=>([(0,3),(0,7),(1,6),(1,7),(2,4),(3,2),(3,6),(5,4),(6,5),(7,5)],8)
[6,1,2,5,8,7,3,4]=>([(0,6),(0,7),(1,5),(3,6),(3,7),(4,2),(5,3),(5,4)],8)
[2,1,8,6,4,7,3,5]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(5,3),(6,2),(7,2),(7,3)],8)
[7,1,3,6,8,4,2,5]=>([(0,7),(1,4),(1,5),(2,7),(3,6),(4,6),(5,2),(5,3)],8)
[1,8,3,6,7,4,5,2]=>([(0,3),(0,4),(0,7),(5,2),(6,1),(7,5),(7,6)],8)
[7,1,5,8,3,6,2,4]=>([(0,7),(1,2),(1,3),(1,4),(2,5),(3,6),(3,7),(4,5),(4,6)],8)
[5,1,8,7,2,3,6,4]=>([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(3,4),(4,2),(4,5)],8)
[6,1,5,7,4,2,8,3]=>([(0,6),(1,3),(1,4),(1,5),(3,7),(4,6),(5,2),(5,7),(6,7)],8)
[3,1,6,4,7,2,5,8]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(4,3),(5,3),(6,4),(7,4),(7,5)],8)
[2,4,7,5,1,8,3,6]=>([(0,6),(0,7),(1,4),(1,6),(2,7),(3,5),(3,7),(4,2),(4,3),(6,5)],8)
[6,5,7,1,4,2,3,8]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,7),(5,7),(6,7)],8)
[5,6,8,1,3,2,4,7]=>([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2),(5,7),(6,7)],8)
[6,8,5,1,3,4,2,7]=>([(0,7),(1,3),(1,7),(2,5),(2,6),(4,7),(5,7),(6,4)],8)
[2,8,3,4,5,1,7,6]=>([(0,6),(0,7),(1,2),(1,5),(3,6),(3,7),(4,3),(5,4)],8)
[6,2,4,3,1,5,7,8]=>([(0,7),(1,6),(2,3),(2,4),(3,7),(4,7),(6,5),(7,6)],8)
[4,2,8,3,1,7,5,6]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(7,3)],8)
[1,3,7,4,8,2,5,6]=>([(0,4),(0,5),(2,6),(3,6),(3,7),(4,7),(5,2),(5,3),(7,1)],8)
[5,3,7,4,1,6,2,8]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(3,7),(4,6),(5,7),(6,7)],8)
[2,4,7,3,6,1,8,5]=>([(0,6),(0,7),(1,3),(1,4),(2,7),(3,5),(3,6),(4,2),(4,5),(4,6),(5,7)],8)
[5,8,7,6,3,1,2,4]=>([(0,7),(1,6),(2,3),(2,4),(2,5),(6,7)],8)
[7,5,6,8,1,4,3,2]=>([(0,7),(1,6),(2,3),(2,4),(2,5),(6,7)],8)
[2,4,7,1,6,5,3,8]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,7),(3,2),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[1,2,7,8,5,4,3,6]=>([(0,6),(2,7),(3,7),(4,7),(5,1),(6,2),(6,3),(6,4),(6,5)],8)
[6,3,1,2,8,4,5,7]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(3,6),(3,7),(4,5),(6,4)],8)
[4,2,1,3,6,5,8,7]=>([(0,7),(1,7),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4),(7,5),(7,6)],8)
[2,8,1,4,5,6,3,7]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(2,5),(4,2),(6,5),(7,4)],8)
[7,2,1,5,4,6,3,8]=>([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,3),(6,3)],8)
[4,2,6,1,8,5,3,7]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(4,7),(6,7)],8)
[7,8,2,1,4,5,3,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(4,7),(5,7),(6,4)],8)
[7,8,4,1,5,3,6,2]=>([(0,6),(1,4),(2,3),(2,5),(2,6),(5,7),(6,7)],8)
[3,4,6,1,5,8,7,2]=>([(0,3),(0,7),(1,4),(2,5),(2,6),(4,2),(4,7),(7,5),(7,6)],8)
[7,5,1,6,4,3,8,2]=>([(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[5,8,1,6,3,4,7,2]=>([(0,4),(0,7),(1,2),(1,5),(1,7),(3,6),(5,3),(7,6)],8)
[6,5,1,8,2,7,4,3]=>([(0,3),(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8)
[6,8,1,7,5,2,3,4]=>([(0,4),(0,7),(1,3),(1,6),(1,7),(5,2),(6,5)],8)
[7,6,1,8,5,3,2,4]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(2,7),(4,6),(5,6)],8)
[5,6,1,7,4,8,2,3]=>([(0,4),(1,3),(1,5),(1,6),(3,7),(4,6),(5,2),(6,7)],8)
[3,6,1,5,7,4,2,8]=>([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,7),(3,4),(4,7),(5,7),(6,4)],8)
[2,5,6,1,7,4,8,3]=>([(0,2),(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(3,6),(6,4),(7,4)],8)
[3,1,7,5,6,4,8,2]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,7),(4,7),(5,7),(6,2)],8)
[5,1,7,6,4,8,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(4,7),(5,7),(6,7)],8)
[6,1,7,8,5,3,4,2]=>([(0,7),(1,3),(1,4),(1,6),(1,7),(6,2),(7,5)],8)
[7,1,8,6,5,4,2,3]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(6,2)],8)
[2,6,5,7,3,4,8,1]=>([(1,3),(1,4),(1,5),(2,7),(3,6),(4,6),(5,2),(6,7)],8)
[1,6,4,7,5,8,2,3]=>([(0,3),(0,4),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7)],8)
[8,5,3,6,2,7,4,1]=>([(2,6),(3,5),(3,7),(4,5),(4,6),(6,7)],8)
[1,3,7,4,6,8,2,5]=>([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(4,7),(5,1),(5,4)],8)
[4,7,5,6,3,2,8,1]=>([(1,7),(2,7),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,6,5,4,8,2,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(2,7),(3,7),(4,7),(5,7),(6,1)],8)
[8,1,6,5,7,2,4,3]=>([(1,4),(1,5),(1,6),(4,7),(5,7),(6,2),(6,3)],8)
[1,2,7,6,8,3,4,5]=>([(0,6),(2,7),(3,7),(4,5),(5,1),(6,2),(6,3),(6,4)],8)
[6,1,7,5,3,8,2,4]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(2,7),(3,5),(4,5),(4,7),(6,7)],8)
[2,1,7,5,6,8,3,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(3,4),(5,3),(6,2),(7,4)],8)
[5,4,1,7,6,8,2,3]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(6,5),(7,5)],8)
[4,8,5,6,2,7,3,1]=>([(1,4),(1,7),(2,3),(2,6),(5,7),(6,5)],8)
[3,8,6,4,2,7,5,1]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(4,7),(5,6),(5,7)],8)
[7,8,5,2,4,6,3,1]=>([(1,7),(2,5),(3,4),(3,6),(6,7)],8)
[2,8,6,3,7,4,5,1]=>([(1,3),(1,4),(1,6),(4,7),(5,2),(6,5),(6,7)],8)
[7,8,1,6,2,4,5,3]=>([(0,5),(1,4),(1,7),(6,3),(7,2),(7,6)],8)
[6,8,1,4,7,2,5,3]=>([(0,4),(0,7),(1,3),(1,5),(3,6),(3,7),(5,2),(5,6)],8)
[3,8,4,1,7,2,6,5]=>([(0,4),(0,7),(1,2),(1,3),(3,5),(3,6),(3,7),(4,5),(4,6)],8)
[5,4,7,1,8,3,2,6]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6)],8)
[3,7,4,1,8,5,2,6]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(2,7),(3,6),(3,7),(4,5),(6,5)],8)
[6,7,1,4,8,3,2,5]=>([(0,5),(1,2),(1,3),(1,4),(2,7),(3,7),(4,6),(4,7),(5,6)],8)
[2,7,1,8,4,5,3,6]=>([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(2,5),(3,4),(6,2),(7,5)],8)
[6,1,2,8,4,3,5,7]=>([(0,6),(0,7),(1,4),(2,5),(3,5),(4,2),(4,3),(4,7),(5,6)],8)
[6,5,1,4,3,8,2,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,2,5,8,3,4,7]=>([(0,3),(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,1),(5,2),(5,4)],8)
[8,5,1,3,7,2,6,4]=>([(1,5),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,4,2,1,7,3,6,5]=>([(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8)
[7,4,2,1,8,5,3,6]=>([(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(6,5)],8)
[1,5,4,2,8,3,6,7]=>([(0,3),(0,4),(0,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,6),(7,1)],8)
[6,4,3,1,5,8,2,7]=>([(0,6),(1,6),(2,5),(2,7),(3,4),(3,6),(4,7),(6,5),(6,7)],8)
[3,7,6,8,4,5,2,1]=>([(2,4),(2,5),(2,6),(4,7),(5,7),(6,3)],8)
[2,7,6,8,5,3,4,1]=>([(1,3),(1,4),(1,5),(1,6),(4,7),(5,7),(6,2)],8)
[1,7,6,8,5,4,2,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,1)],8)
[1,4,8,6,7,5,2,3]=>([(0,6),(0,7),(5,4),(6,1),(7,2),(7,3),(7,5)],8)
[2,4,8,6,7,3,5,1]=>([(1,4),(1,6),(4,7),(5,3),(6,2),(6,5),(6,7)],8)
[7,3,8,5,4,6,2,1]=>([(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[3,4,8,5,6,7,2,1]=>([(2,7),(5,6),(6,4),(7,3),(7,5)],8)
[6,3,5,8,4,7,2,1]=>([(2,6),(2,7),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[5,4,3,8,6,7,2,1]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[5,4,2,8,7,3,6,1]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7)],8)
[6,2,5,8,7,3,4,1]=>([(1,6),(1,7),(2,3),(2,4),(3,5),(4,6),(4,7)],8)
[3,2,8,5,7,4,6,1]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,4),(7,3),(7,4)],8)
[1,3,8,7,5,6,2,4]=>([(0,4),(0,6),(4,7),(5,3),(6,1),(6,2),(6,5),(6,7)],8)
[2,1,8,7,4,6,3,5]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2),(7,3)],8)
[3,1,8,5,7,6,2,4]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(4,5),(7,2),(7,3)],8)
[6,1,5,8,7,4,2,3]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(4,6),(4,7),(5,2)],8)
[5,4,1,8,7,6,2,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4)],8)
[5,8,6,7,4,3,2,1]=>([(4,5),(4,6),(6,7)],8)
[4,8,7,5,6,3,2,1]=>([(3,4),(3,5),(3,6),(6,7)],8)
[4,2,1,6,3,5,8,7]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(5,6),(6,3),(6,4),(7,3),(7,4)],8)
[6,2,1,4,3,5,8,7]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,7),(6,7),(7,3),(7,4)],8)
[6,2,1,4,3,8,5,7]=>([(0,3),(0,7),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(5,7),(6,4),(6,7)],8)
[8,2,1,4,3,6,5,7]=>([(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)
[6,2,4,1,3,8,5,7]=>([(0,5),(1,4),(1,7),(2,3),(2,5),(3,6),(3,7),(5,6),(5,7),(6,4)],8)
[6,2,4,1,3,5,8,7]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(3,7),(6,7),(7,4),(7,5)],8)
[2,1,6,4,3,5,8,7]=>([(0,4),(0,5),(0,7),(1,4),(1,5),(1,7),(4,6),(5,6),(6,2),(6,3),(7,2),(7,3)],8)
[2,6,1,4,3,5,8,7]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(5,7),(6,7),(7,3),(7,4)],8)
[2,6,4,1,3,5,8,7]=>([(0,6),(1,2),(1,3),(1,6),(2,7),(3,4),(3,5),(6,7),(7,4),(7,5)],8)
[4,6,2,1,3,5,8,7]=>([(0,6),(1,6),(2,3),(2,7),(3,4),(3,5),(6,7),(7,4),(7,5)],8)
[6,4,2,1,3,5,8,7]=>([(0,4),(1,4),(2,7),(3,5),(3,6),(4,7),(7,5),(7,6)],8)
[8,4,2,1,3,6,5,7]=>([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,4,2,1,6,3,5,7]=>([(1,4),(1,7),(2,4),(2,7),(3,6),(3,7),(4,6),(6,5),(7,5)],8)
[6,4,2,1,8,3,5,7]=>([(0,4),(0,7),(1,4),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(6,5)],8)
[2,6,1,4,3,8,5,7]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,7),(4,3),(5,4),(5,7),(6,4),(6,7)],8)
[2,1,6,4,3,8,5,7]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3),(4,7),(5,3),(5,7),(6,2),(6,7)],8)
[2,1,8,4,3,6,5,7]=>([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(4,2),(5,2),(6,4),(6,5),(7,4),(7,5)],8)
[2,8,1,4,3,6,5,7]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)
[2,8,4,1,3,6,5,7]=>([(0,7),(1,2),(1,3),(1,7),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)
[4,8,2,1,3,6,5,7]=>([(0,7),(1,7),(2,3),(2,5),(2,6),(5,4),(6,4),(7,5),(7,6)],8)
[6,8,2,1,4,3,5,7]=>([(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(5,4),(6,5),(7,5)],8)
[8,6,2,1,4,3,5,7]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[2,8,1,4,6,3,5,7]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(3,4),(5,4),(6,5),(7,3),(7,5)],8)
[2,6,1,4,8,3,5,7]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(5,4),(6,5),(7,3),(7,5)],8)
[2,6,4,1,8,3,5,7]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(2,5),(2,7),(3,4),(3,7),(5,4),(6,5)],8)
[2,6,4,8,1,3,5,7]=>([(0,7),(1,2),(1,3),(1,7),(2,4),(2,5),(3,5),(3,6),(6,4),(7,6)],8)
[4,6,2,8,1,3,5,7]=>([(0,7),(1,3),(1,6),(2,5),(2,7),(3,4),(3,5),(6,4),(7,6)],8)
[4,2,6,1,8,3,5,7]=>([(0,4),(0,6),(1,6),(1,7),(2,5),(2,7),(5,3),(6,5),(7,3),(7,4)],8)
[6,2,4,1,8,3,5,7]=>([(0,4),(0,7),(1,5),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(6,5)],8)
[4,2,1,6,8,3,5,7]=>([(0,4),(0,7),(1,4),(1,7),(2,6),(2,7),(4,6),(6,5),(7,3),(7,5)],8)
[4,2,1,6,3,8,5,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(5,4),(6,3),(6,5),(7,3),(7,4)],8)
[4,2,1,3,6,8,5,7]=>([(0,7),(1,7),(2,5),(2,6),(5,4),(6,3),(6,4),(7,5),(7,6)],8)
[2,1,4,3,8,6,5,7]=>([(0,6),(0,7),(1,6),(1,7),(4,3),(5,3),(6,2),(6,4),(6,5),(7,2),(7,4),(7,5)],8)
[2,4,1,3,8,6,5,7]=>([(0,7),(1,2),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,4),(7,5),(7,6)],8)
[4,2,1,3,8,6,5,7]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,4),(7,5),(7,6)],8)
[4,2,1,8,3,6,5,7]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(4,3),(5,3),(6,4),(6,5)],8)
[4,2,1,8,6,3,5,7]=>([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(5,4),(7,4)],8)
[8,2,1,6,4,3,5,7]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(4,3),(5,4),(6,4),(7,3)],8)
[8,2,6,1,4,3,5,7]=>([(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(5,4),(6,5),(7,5)],8)
[4,2,8,1,3,6,5,7]=>([(0,7),(1,4),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,5),(7,6)],8)
[2,4,8,1,3,6,5,7]=>([(0,7),(1,3),(1,7),(3,2),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)
[2,4,1,8,3,6,5,7]=>([(0,2),(0,7),(1,4),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,5),(7,6)],8)
[2,1,4,8,3,6,5,7]=>([(0,6),(0,7),(1,6),(1,7),(4,3),(5,3),(6,4),(6,5),(7,2),(7,4),(7,5)],8)
[2,1,4,8,6,3,5,7]=>([(0,6),(0,7),(1,6),(1,7),(3,4),(5,4),(6,5),(7,2),(7,3),(7,5)],8)
[2,4,8,1,6,3,5,7]=>([(0,3),(0,7),(1,6),(1,7),(3,2),(3,5),(3,6),(5,4),(6,4),(7,5)],8)
[2,4,8,6,1,3,5,7]=>([(0,7),(1,4),(1,7),(3,6),(4,2),(4,3),(4,5),(5,6),(7,5)],8)
[4,2,8,6,1,3,5,7]=>([(0,6),(1,4),(1,5),(1,7),(2,4),(2,6),(2,7),(5,3),(6,5),(7,3)],8)
[8,4,6,2,1,3,5,7]=>([(1,5),(2,5),(3,4),(3,6),(4,7),(5,6),(6,7)],8)
[4,6,8,2,1,3,5,7]=>([(0,5),(1,5),(2,3),(2,6),(3,4),(3,7),(5,6),(6,7)],8)
[2,6,8,4,1,3,5,7]=>([(0,7),(1,3),(1,4),(1,7),(3,5),(4,2),(4,6),(5,6),(7,5)],8)
[2,6,8,1,4,3,5,7]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(3,2),(3,4),(5,4),(6,5),(7,5)],8)
[2,6,1,8,4,3,5,7]=>([(0,2),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(5,3),(6,5),(7,5)],8)
[2,1,6,8,4,3,5,7]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(5,4),(6,4),(7,2),(7,3)],8)
[2,1,8,6,4,3,5,7]=>([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(4,2),(5,4),(6,4),(7,2)],8)
[2,8,6,4,1,3,5,7]=>([(0,7),(1,2),(1,3),(1,4),(1,7),(3,6),(4,5),(5,6),(7,5)],8)
[4,8,6,2,1,3,5,7]=>([(0,5),(1,5),(2,3),(2,4),(2,6),(4,7),(5,6),(6,7)],8)
[6,8,4,2,1,3,5,7]=>([(0,5),(1,5),(2,7),(3,4),(3,6),(5,7),(7,6)],8)
[3,2,6,1,5,4,8,7]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(6,4),(6,5),(7,4),(7,5)],8)
[5,2,4,3,8,1,7,6]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,2,4,1,5,3,8,7]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,6,1,5,2,8,7]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,5,2,8,1,7,6]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(3,4),(4,5),(4,6),(4,7)],8)
[4,3,7,2,6,5,8,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,3,8,2,6,1,7,5]=>([(0,6),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(6,5)],8)
[4,3,8,1,7,2,6,5]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(3,6),(3,7)],8)
[4,3,8,1,5,2,7,6]=>([(0,4),(0,7),(1,4),(1,7),(2,3),(2,7),(3,5),(3,6),(7,5),(7,6)],8)
[5,1,8,3,4,2,7,6]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,2)],8)
[5,4,8,1,3,2,7,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7)],8)
[2,1,5,4,8,3,7,6]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(3,7),(4,2),(4,6),(4,7),(5,2),(5,6),(5,7)],8)
[5,1,7,6,8,3,4,2]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(4,2),(6,5),(7,5)],8)
[4,3,7,6,8,1,5,2]=>([(0,4),(0,5),(0,7),(1,4),(1,5),(1,7),(2,3),(2,7),(4,6),(5,6)],8)
[4,3,7,1,8,5,6,2]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(5,6),(7,4)],8)
[4,3,6,5,8,1,7,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,5,4,7,2,8,1]=>([(1,7),(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[6,3,5,4,8,1,7,2]=>([(0,6),(0,7),(1,3),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,6,3,8,4,5,2]=>([(0,7),(1,3),(1,4),(1,6),(4,7),(5,2),(6,5),(6,7)],8)
[7,4,6,5,8,1,3,2]=>([(0,7),(1,3),(1,4),(2,5),(2,6),(5,7),(6,7)],8)
[2,1,8,4,6,3,7,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(6,2),(6,3),(7,3),(7,4)],8)
[8,4,6,1,3,2,7,5]=>([(1,3),(1,6),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,6,3,4,2,7,5]=>([(1,2),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,3)],8)
[8,1,6,3,7,2,5,4]=>([(1,2),(1,3),(1,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,3,5,1,7,2,6,4]=>([(1,4),(1,6),(2,3),(2,5),(3,6),(3,7),(4,5),(4,7)],8)
[8,3,5,2,6,1,7,4]=>([(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(6,5)],8)
[7,3,5,2,6,4,8,1]=>([(1,7),(2,5),(2,6),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,6,3,5,1,7,4]=>([(1,6),(1,7),(2,3),(2,4),(3,7),(4,5),(4,6),(5,7)],8)
[8,2,7,1,5,3,6,4]=>([(1,5),(1,7),(2,4),(2,5),(2,7),(5,6),(7,3),(7,6)],8)
[8,2,4,1,5,3,7,6]=>([(1,3),(1,6),(2,6),(2,7),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[8,2,4,1,7,3,6,5]=>([(1,3),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(7,4),(7,5)],8)
[8,2,4,3,6,1,7,5]=>([(1,5),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[3,2,8,4,6,1,7,5]=>([(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,5),(7,3),(7,4)],8)
[3,2,8,1,5,4,7,6]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(6,4),(6,5),(7,4),(7,5)],8)
[3,2,7,6,8,1,5,4]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(4,5)],8)
[3,2,7,1,8,5,6,4]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(4,5),(7,3)],8)
[3,2,6,5,8,1,7,4]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7)],8)
[6,5,7,2,4,3,8,1]=>([(1,6),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[6,5,8,2,4,1,7,3]=>([(0,5),(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(4,7)],8)
[7,2,4,1,8,5,6,3]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(6,3)],8)
[7,6,8,2,4,1,5,3]=>([(0,5),(1,5),(2,6),(2,7),(3,4),(3,6),(4,7)],8)
[7,6,8,1,5,2,4,3]=>([(0,7),(1,7),(2,5),(2,6),(6,3),(6,4)],8)
[2,1,7,3,8,5,6,4]=>([(0,6),(0,7),(1,6),(1,7),(4,3),(6,5),(7,2),(7,4),(7,5)],8)
[7,1,3,2,8,5,6,4]=>([(0,7),(1,3),(1,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,2)],8)
[7,1,8,5,6,2,4,3]=>([(0,7),(1,5),(1,6),(1,7),(5,4),(6,2),(6,3)],8)
[7,1,8,2,6,4,5,3]=>([(0,7),(1,6),(1,7),(5,4),(6,2),(6,3),(6,5)],8)
[7,2,8,1,5,4,6,3]=>([(0,5),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3),(7,3)],8)
[6,2,7,4,5,3,8,1]=>([(1,6),(2,3),(2,4),(2,6),(3,5),(4,7),(5,7),(6,7)],8)
[5,4,7,2,6,3,8,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[5,4,8,2,6,1,7,3]=>([(0,4),(0,7),(1,4),(1,7),(2,5),(2,7),(3,5),(3,6),(7,6)],8)
[6,5,8,1,7,2,4,3]=>([(0,3),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5)],8)
[2,1,6,5,8,3,7,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,2),(4,7),(5,3),(5,7),(6,3),(6,7)],8)
[6,5,7,4,8,1,3,2]=>([(0,7),(1,6),(2,6),(3,4),(3,5),(6,7)],8)
[6,5,7,1,8,3,4,2]=>([(0,6),(1,6),(2,3),(2,4),(2,7),(4,5),(6,7)],8)
[6,1,7,4,8,3,5,2]=>([(0,7),(1,2),(1,3),(1,4),(1,7),(3,5),(4,5),(4,6),(7,6)],8)
[5,4,7,1,8,3,6,2]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(4,7),(5,6)],8)
[5,4,6,3,8,1,7,2]=>([(0,6),(0,7),(1,5),(2,5),(3,4),(3,7),(5,6),(5,7)],8)
[2,8,3,1,5,4,6,7]=>([(0,5),(0,6),(1,3),(1,4),(4,5),(4,6),(5,7),(6,7),(7,2)],8)
[2,5,3,4,7,1,8,6]=>([(0,6),(0,7),(1,3),(1,4),(2,5),(2,7),(3,5),(3,7),(4,2),(5,6)],8)
[2,4,8,3,5,7,6,1]=>([(1,3),(1,6),(3,7),(6,2),(6,7),(7,4),(7,5)],8)
[4,2,5,3,1,8,6,7]=>([(0,6),(0,7),(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[4,2,1,8,5,3,6,7]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(4,5),(5,3),(7,5)],8)
[5,4,1,3,8,2,6,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(3,7),(5,6),(5,7),(7,4)],8)
[5,1,4,8,3,2,6,7]=>([(0,6),(0,7),(1,2),(1,3),(1,5),(2,7),(3,7),(5,6),(5,7),(7,4)],8)
[1,5,8,4,3,2,6,7]=>([(0,3),(0,4),(0,5),(0,6),(3,7),(4,7),(5,7),(6,1),(6,7),(7,2)],8)
[1,8,5,4,3,2,6,7]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(3,7),(4,7),(5,7),(6,7),(7,1)],8)
[1,7,4,3,8,5,2,6]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[1,5,7,3,8,4,2,6]=>([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,2),(4,7),(5,1),(5,6)],8)
[5,1,4,7,8,3,2,6]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(2,7),(3,7),(4,6),(4,7),(6,5)],8)
[4,8,1,5,7,3,6,2]=>([(0,5),(0,7),(1,3),(1,4),(1,7),(4,6),(7,2),(7,6)],8)
[8,1,5,3,7,4,6,2]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(4,7),(5,3),(5,7)],8)
[3,8,4,7,6,5,2,1]=>([(2,6),(2,7),(7,3),(7,4),(7,5)],8)
[1,6,8,5,3,7,4,2]=>([(0,3),(0,4),(0,5),(0,6),(4,7),(5,2),(5,7),(6,1),(6,7)],8)
[6,8,1,7,4,3,5,2]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(1,7),(3,6),(4,6)],8)
[6,4,8,1,7,3,5,2]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(4,6)],8)
[6,4,8,7,1,5,2,3]=>([(0,5),(0,6),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4)],8)
[7,6,4,1,3,8,2,5]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(5,6),(5,7)],8)
[1,7,5,6,3,2,8,4]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1)],8)
[4,2,1,7,8,5,3,6]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(4,5),(6,5),(7,3)],8)
[2,7,4,6,3,1,8,5]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(4,7),(5,2),(5,6)],8)
[2,6,8,4,3,7,5,1]=>([(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,7)],8)
[6,2,4,8,3,7,5,1]=>([(1,5),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,2,6,3,4,1,8,5]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(4,7),(5,6),(5,7)],8)
[2,6,7,3,1,4,8,5]=>([(0,7),(1,3),(1,5),(3,7),(4,6),(5,4),(7,2),(7,6)],8)
[2,7,1,8,3,5,4,6]=>([(0,6),(0,7),(1,2),(1,7),(2,6),(3,5),(4,5),(7,3),(7,4)],8)
[2,1,7,3,5,8,4,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(6,2),(6,3),(7,4)],8)
[8,7,1,3,6,2,4,5]=>([(2,4),(2,6),(4,7),(6,3),(6,7),(7,5)],8)
[8,2,1,7,3,5,6,4]=>([(1,6),(1,7),(2,6),(2,7),(4,5),(7,3),(7,4)],8)
[7,8,2,6,3,1,5,4]=>([(0,6),(0,7),(1,4),(2,3),(2,5),(5,6),(5,7)],8)
[8,7,2,6,3,5,4,1]=>([(3,4),(3,5),(5,6),(5,7)],8)
[1,2,8,7,4,5,6,3]=>([(0,7),(5,6),(6,4),(7,1),(7,2),(7,3),(7,5)],8)
[8,3,7,1,5,6,2,4]=>([(1,4),(1,6),(2,3),(2,6),(2,7),(4,7),(6,5)],8)
[8,6,1,2,7,5,3,4]=>([(1,7),(2,6),(5,4),(6,3),(6,5),(6,7)],8)
[8,1,6,2,7,4,5,3]=>([(1,4),(1,6),(4,7),(5,3),(6,2),(6,5),(6,7)],8)
[1,8,5,2,6,7,4,3]=>([(0,4),(0,5),(0,6),(5,7),(6,1),(6,2),(6,7),(7,3)],8)
[5,2,1,8,6,7,4,3]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[2,8,5,7,6,4,3,1]=>([(1,4),(1,5),(1,6),(1,7),(7,2),(7,3)],8)
[1,7,8,5,2,6,4,3]=>([(0,4),(0,5),(0,6),(4,7),(5,3),(6,1),(6,2),(6,7)],8)
[7,8,1,6,4,2,5,3]=>([(0,5),(1,3),(1,4),(1,6),(4,7),(6,2),(6,7)],8)
[7,8,6,1,5,3,2,4]=>([(1,4),(2,3),(2,5),(2,6),(5,7),(6,7)],8)
[7,3,8,6,1,5,2,4]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(2,7),(4,7)],8)
[8,7,6,1,5,3,4,2]=>([(3,4),(3,5),(3,6),(6,7)],8)
[8,7,1,6,4,5,3,2]=>([(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[8,1,7,5,6,4,3,2]=>([(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8)
[1,8,6,7,5,4,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)
[6,3,5,2,1,4,8,7]=>([(0,5),(1,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,5,7,2,8,4,1]=>([(1,7),(2,5),(2,6),(3,4),(3,5),(4,7),(7,6)],8)
[8,5,2,7,4,3,1,6]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[4,5,3,6,1,2,8,7]=>([(0,5),(1,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,1,4,6,2,8,7]=>([(0,3),(0,6),(1,2),(1,6),(2,7),(3,4),(3,5),(6,7),(7,4),(7,5)],8)
[8,3,4,5,7,2,1,6]=>([(1,4),(2,7),(3,7),(4,6),(6,5),(6,7)],8)
[5,7,4,6,3,8,2,1]=>([(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,8,4,6,3,7,1,5]=>([(0,7),(1,2),(1,4),(1,5),(3,6),(4,6),(4,7),(5,3),(5,7)],8)
[8,1,4,7,3,6,2,5]=>([(1,3),(1,4),(1,5),(3,7),(4,6),(4,7),(5,2),(5,6),(5,7)],8)
[8,3,4,7,5,1,2,6]=>([(1,5),(2,6),(4,7),(5,7),(6,3),(6,4)],8)
[8,5,1,4,7,3,2,6]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(5,7)],8)
[8,5,3,7,1,4,2,6]=>([(1,5),(1,7),(2,5),(2,6),(3,4),(3,6),(4,7),(6,7)],8)
[2,1,8,5,7,4,3,6]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(4,7),(5,7),(6,2),(6,7)],8)
[6,5,3,7,1,8,4,2]=>([(0,7),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(7,6)],8)
[6,5,1,4,7,8,3,2]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(5,7),(7,6)],8)
[6,3,4,7,5,8,1,2]=>([(0,7),(1,3),(2,4),(4,5),(4,7),(5,6),(7,6)],8)
[5,1,4,6,8,3,7,2]=>([(0,7),(1,3),(1,4),(1,5),(4,7),(5,6),(7,2),(7,6)],8)
[4,7,1,3,5,8,6,2]=>([(0,5),(0,7),(1,3),(1,4),(4,7),(5,6),(7,2),(7,6)],8)
[4,8,3,7,1,2,6,5]=>([(0,5),(0,6),(0,7),(1,4),(2,3),(2,5),(2,6),(2,7),(4,6),(4,7)],8)
[3,8,6,4,1,7,2,5]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(3,7),(4,6),(4,7),(5,6)],8)
[3,8,1,2,5,7,6,4]=>([(0,5),(1,4),(1,6),(1,7),(5,6),(5,7),(7,2),(7,3)],8)
[2,8,7,5,4,1,3,6]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(4,7),(5,7),(6,7)],8)
[8,7,2,6,4,1,3,5]=>([(2,6),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[3,8,6,7,4,2,1,5]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(5,7),(6,3)],8)
[5,7,6,8,4,2,3,1]=>([(2,4),(3,5),(3,6),(5,7),(6,7)],8)
[5,3,7,8,2,4,6,1]=>([(1,6),(1,7),(2,5),(3,5),(3,7),(5,6),(7,4)],8)
[8,3,6,2,1,4,7,5]=>([(1,7),(2,7),(3,5),(3,7),(5,6),(7,4),(7,6)],8)
[5,3,7,6,2,1,8,4]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[5,3,6,2,8,7,1,4]=>([(0,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8)
[5,7,8,6,4,2,1,3]=>([(1,7),(2,7),(3,4),(3,5),(5,6)],8)
[2,6,7,5,4,8,1,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,2)],8)
[6,1,7,4,5,8,2,3]=>([(0,7),(1,4),(1,5),(1,7),(3,6),(4,2),(5,3),(7,6)],8)
[6,7,3,5,1,8,2,4]=>([(0,3),(1,5),(1,7),(2,4),(2,6),(3,7),(4,7),(5,6)],8)
[2,1,6,7,5,8,3,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(3,4),(5,3),(6,2),(7,4)],8)
[2,1,5,7,3,6,8,4]=>([(0,6),(0,7),(1,6),(1,7),(3,4),(5,4),(6,3),(6,5),(7,2),(7,5)],8)
[5,7,3,6,1,2,8,4]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(3,7),(4,6),(4,7),(5,7)],8)
[4,1,7,2,5,6,8,3]=>([(0,6),(0,7),(1,4),(1,6),(3,5),(4,2),(4,7),(6,5),(7,3)],8)
[2,4,7,1,6,5,8,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,7),(3,2),(3,4),(3,5),(4,7),(5,7)],8)
[4,6,2,1,8,7,5,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(3,6),(3,7)],8)
[3,4,6,2,7,8,5,1]=>([(1,6),(1,7),(2,3),(3,5),(3,7),(5,6),(6,4)],8)
[4,6,1,2,5,8,7,3]=>([(0,3),(0,7),(1,4),(3,5),(3,6),(4,2),(4,7),(7,5),(7,6)],8)
[5,6,1,4,8,2,7,3]=>([(0,4),(1,3),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,7)],8)
[5,6,3,1,8,7,2,4]=>([(0,5),(0,6),(0,7),(1,3),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5)],8)
[3,5,6,4,7,1,8,2]=>([(0,4),(0,7),(1,3),(1,5),(2,6),(3,6),(5,2),(6,7)],8)
[3,4,6,1,5,7,8,2]=>([(0,5),(1,4),(1,6),(3,7),(5,3),(5,6),(6,7),(7,2)],8)
[3,4,1,5,7,6,8,2]=>([(0,5),(1,4),(1,7),(2,6),(3,6),(5,7),(7,2),(7,3)],8)
[3,8,2,7,1,6,5,4]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[3,8,2,7,6,1,5,4]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[3,8,2,7,6,5,1,4]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[3,8,2,7,6,5,4,1]=>([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[4,8,7,2,6,5,3,1]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7)],8)
[4,8,7,2,6,5,1,3]=>([(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7)],8)
[4,8,7,2,6,1,5,3]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7)],8)
[4,8,7,2,1,6,5,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7)],8)
[4,8,7,3,1,6,5,2]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7)],8)
[4,8,7,3,2,1,6,5]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[4,8,7,3,2,6,1,5]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[4,8,7,3,2,6,5,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[4,8,7,3,6,2,5,1]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[4,8,7,3,6,2,1,5]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[4,8,7,3,6,1,5,2]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7)],8)
[4,8,7,3,6,5,1,2]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(2,6),(2,7)],8)
[4,8,7,3,6,5,2,1]=>([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[5,8,7,6,3,4,2,1]=>([(2,7),(3,4),(3,5),(3,6)],8)
[5,8,7,6,3,1,4,2]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5)],8)
[5,8,7,6,3,2,4,1]=>([(1,7),(2,7),(3,4),(3,5),(3,6)],8)
[5,8,7,6,2,4,3,1]=>([(1,6),(1,7),(2,3),(2,4),(2,5)],8)
[5,8,7,6,2,1,4,3]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5)],8)
[5,8,7,6,4,2,3,1]=>([(2,7),(3,4),(3,5),(3,6)],8)
[5,8,7,6,4,2,1,3]=>([(1,7),(2,7),(3,4),(3,5),(3,6)],8)
[5,8,7,6,4,1,3,2]=>([(1,6),(1,7),(2,3),(2,4),(2,5)],8)
[5,8,7,6,4,3,1,2]=>([(2,7),(3,4),(3,5),(3,6)],8)
[7,3,5,2,6,4,1,8]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,2,1,5,6,4,3,8]=>([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[1,4,6,7,3,8,2,5]=>([(0,2),(0,3),(0,5),(1,6),(2,7),(3,6),(3,7),(4,1),(5,4),(5,7)],8)
[6,4,5,7,1,3,8,2]=>([(0,6),(1,5),(2,3),(2,4),(4,7),(5,6),(6,7)],8)
[6,3,5,1,7,4,8,2]=>([(0,7),(1,4),(1,5),(2,3),(2,5),(2,7),(4,7),(5,6),(7,6)],8)
[6,2,1,5,7,4,8,3]=>([(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(5,3),(6,5),(7,3)],8)
[3,2,1,5,7,4,8,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(6,4),(6,5),(7,3),(7,4)],8)
[2,4,6,7,3,8,1,5]=>([(0,7),(1,3),(1,5),(2,6),(3,6),(3,7),(4,2),(5,4),(5,7)],8)
[1,4,6,7,3,8,5,2]=>([(0,2),(0,3),(0,5),(1,7),(3,6),(3,7),(4,1),(5,4),(5,6)],8)
[1,5,6,7,8,3,4,2]=>([(0,3),(0,6),(0,7),(4,5),(5,2),(6,4),(7,1)],8)
[2,5,6,7,8,3,1,4]=>([(0,7),(1,3),(1,6),(3,7),(4,5),(5,2),(6,4)],8)
[3,2,1,6,7,8,4,5]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(4,5),(6,3),(7,4)],8)
[5,2,1,6,7,8,4,3]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(7,3)],8)
[5,3,6,1,7,8,4,2]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(2,7),(5,7),(7,3)],8)
[5,4,6,7,1,8,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,7),(5,7),(6,5)],8)
[1,5,6,7,8,3,2,4]=>([(0,2),(0,3),(0,6),(2,7),(3,7),(4,5),(5,1),(6,4)],8)
[6,4,5,7,2,1,8,3]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(4,6),(6,7)],8)
[5,4,6,7,2,8,3,1]=>([(1,6),(2,6),(3,4),(3,7),(5,7),(6,5)],8)
[6,3,5,2,7,1,8,4]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(3,4),(3,6),(4,7),(7,5)],8)
[6,3,4,2,1,7,8,5]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)
[4,3,6,2,7,8,5,1]=>([(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(6,4)],8)
[3,4,6,7,2,8,5,1]=>([(1,3),(2,6),(2,7),(3,5),(3,6),(4,7),(5,4)],8)
[4,2,1,5,7,3,8,6]=>([(0,7),(1,4),(1,7),(2,4),(2,7),(3,6),(4,5),(4,6),(7,3),(7,5)],8)
[1,5,6,7,8,2,4,3]=>([(0,6),(0,7),(4,5),(5,3),(6,4),(7,1),(7,2)],8)
[1,5,6,7,8,4,2,3]=>([(0,3),(0,6),(0,7),(4,5),(5,2),(6,4),(7,1)],8)
[3,4,6,7,1,8,5,2]=>([(0,5),(1,3),(1,6),(1,7),(2,6),(4,2),(5,4),(5,7)],8)
[4,3,6,1,7,8,5,2]=>([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(5,6),(6,3)],8)
[1,4,3,6,2,5,7,8]=>([(0,2),(0,3),(0,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,1),(7,6)],8)
[1,4,3,7,2,5,6,8]=>([(0,2),(0,3),(0,4),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(7,1)],8)
[1,4,3,7,6,8,2,5]=>([(0,1),(0,2),(0,3),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
[1,4,3,7,5,8,2,6]=>([(0,1),(0,2),(0,3),(1,5),(2,6),(2,7),(3,6),(3,7),(6,4),(7,4),(7,5)],8)
[1,4,3,7,2,6,5,8]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,5,3,7,4,8,2,6]=>([(0,2),(0,3),(0,4),(1,6),(1,7),(2,7),(3,5),(3,7),(4,1),(4,5),(5,6)],8)
[1,3,2,6,5,8,4,7]=>([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,3),(5,7),(6,3),(6,7)],8)
[1,5,4,8,2,6,3,7]=>([(0,2),(0,3),(0,4),(1,6),(2,5),(2,7),(3,5),(3,7),(4,1),(4,7),(7,6)],8)
[1,5,4,8,3,7,2,6]=>([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,2,3,6,5,8,4,7]=>([(0,4),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,1),(5,2),(5,3)],8)
[6,8,2,4,5,7,1,3]=>([(0,6),(1,4),(1,6),(2,3),(2,7),(4,5),(5,7)],8)
[3,7,8,4,5,2,6,1]=>([(1,7),(2,5),(2,6),(4,7),(5,3),(6,4)],8)
[7,8,1,4,5,3,6,2]=>([(0,5),(1,2),(1,4),(1,6),(3,7),(4,7),(6,3)],8)
[3,8,7,4,1,6,5,2]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(4,6),(4,7)],8)
[4,8,3,6,1,5,7,2]=>([(0,5),(0,7),(1,3),(1,7),(2,4),(2,5),(2,7),(5,6),(7,6)],8)
[5,8,3,1,6,4,7,2]=>([(0,5),(0,7),(1,3),(1,7),(2,4),(2,5),(2,7),(5,6),(7,6)],8)
[5,8,1,4,7,6,3,2]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(4,6),(4,7)],8)
[7,5,1,8,6,2,4,3]=>([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5)],8)
[7,4,1,8,2,6,3,5]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(3,6),(4,5)],8)
[7,1,8,4,2,6,3,5]=>([(0,7),(1,3),(1,4),(1,7),(2,5),(3,5),(3,6),(4,2),(4,6)],8)
[1,6,3,8,5,2,4,7]=>([(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(3,7),(4,1),(4,5),(4,6),(6,7)],8)
[6,1,3,8,5,2,4,7]=>([(0,6),(0,7),(1,3),(1,4),(2,7),(3,5),(4,2),(4,5),(4,6),(5,7)],8)
[7,1,8,3,6,2,5,4]=>([(0,7),(1,3),(1,4),(1,7),(3,5),(3,6),(4,2),(4,5),(4,6)],8)
[7,3,1,8,4,2,6,5]=>([(0,7),(1,4),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[7,2,8,4,1,6,5,3]=>([(0,7),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6)],8)
[7,2,8,3,6,5,1,4]=>([(0,6),(1,7),(2,3),(2,6),(3,4),(3,5),(3,7)],8)
[7,2,8,3,6,1,5,4]=>([(0,5),(1,6),(1,7),(2,3),(2,5),(3,4),(3,6),(3,7)],8)
[7,1,8,2,3,6,5,4]=>([(0,7),(1,5),(1,7),(5,6),(6,2),(6,3),(6,4)],8)
[6,1,2,8,3,5,4,7]=>([(0,6),(0,7),(1,4),(2,7),(3,7),(4,5),(4,6),(5,2),(5,3)],8)
[1,5,2,3,8,4,7,6]=>([(0,2),(0,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,1),(3,7),(4,3)],8)
[5,1,2,3,8,4,7,6]=>([(0,5),(0,6),(0,7),(1,3),(2,6),(2,7),(3,4),(4,2),(4,5)],8)
[5,2,3,8,1,4,7,6]=>([(0,3),(1,7),(2,4),(2,5),(2,6),(3,6),(3,7),(7,4),(7,5)],8)
[6,2,8,1,3,5,4,7]=>([(0,6),(1,5),(1,6),(2,5),(2,7),(3,7),(4,7),(6,3),(6,4)],8)
[6,2,4,1,8,7,3,5]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5)],8)
[6,3,1,4,2,8,5,7]=>([(0,5),(1,4),(1,7),(2,3),(2,5),(3,6),(3,7),(5,6),(5,7),(6,4)],8)
[3,1,6,4,2,8,5,7]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,7),(4,3),(5,4),(5,7),(6,3),(6,7)],8)
[2,6,3,8,7,1,5,4]=>([(0,2),(0,3),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[2,6,3,8,5,1,4,7]=>([(0,6),(1,3),(1,4),(2,7),(3,5),(3,7),(4,2),(4,5),(4,6),(6,7)],8)
[2,5,1,8,3,4,7,6]=>([(0,3),(0,7),(1,4),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(7,2)],8)
[2,5,1,3,8,4,7,6]=>([(0,7),(1,3),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(7,2),(7,4)],8)
[1,2,5,3,8,4,7,6]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,1),(3,7),(4,2),(4,3)],8)
[1,2,4,8,3,7,6,5]=>([(0,4),(2,5),(2,6),(2,7),(3,1),(3,5),(3,6),(3,7),(4,2),(4,3)],8)
[2,4,8,1,3,7,6,5]=>([(0,7),(1,3),(1,7),(3,2),(3,4),(3,5),(3,6),(7,4),(7,5),(7,6)],8)
[2,4,8,3,7,1,6,5]=>([(0,6),(0,7),(1,3),(1,4),(3,5),(3,6),(3,7),(4,2),(4,5),(4,6),(4,7)],8)
[2,4,8,3,7,6,1,5]=>([(0,7),(1,3),(1,4),(3,5),(3,6),(3,7),(4,2),(4,5),(4,6),(4,7)],8)
[2,5,3,8,1,7,4,6]=>([(0,2),(0,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(6,4)],8)
[2,5,4,1,3,8,7,6]=>([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,1,5,4,8,2,7,6]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(2,7),(4,3),(4,6),(4,7),(5,3),(5,6),(5,7)],8)
[5,3,1,4,8,2,7,6]=>([(0,5),(0,6),(0,7),(1,4),(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,2,3,8,4,7,1,6]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(3,6),(4,5),(4,7)],8)
[4,8,2,3,7,6,1,5]=>([(0,7),(1,4),(2,3),(2,5),(2,6),(2,7),(4,5),(4,6),(4,7)],8)
[4,8,2,3,7,1,6,5]=>([(0,6),(0,7),(1,4),(2,3),(2,5),(2,6),(2,7),(4,5),(4,6),(4,7)],8)
[4,8,1,2,3,7,6,5]=>([(0,4),(1,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(4,2)],8)
[1,4,8,2,3,7,6,5]=>([(0,3),(0,4),(2,5),(2,6),(2,7),(3,2),(4,1),(4,5),(4,6),(4,7)],8)
[1,4,8,3,7,2,6,5]=>([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,5),(4,6),(4,7)],8)
[6,3,8,1,5,2,4,7]=>([(0,4),(0,7),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6),(5,7),(6,7)],8)
[5,3,8,1,2,4,7,6]=>([(0,3),(1,6),(1,7),(2,4),(2,5),(2,6),(3,7),(7,4),(7,5)],8)
[5,1,3,8,2,4,7,6]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(2,7),(3,6),(3,7),(7,4),(7,5)],8)
[1,5,3,8,2,4,7,6]=>([(0,1),(0,2),(0,3),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(7,4),(7,5)],8)
[1,5,4,8,2,7,6,3]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,6),(4,7)],8)
[5,1,4,8,2,7,6,3]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(3,5),(3,6),(3,7),(4,2),(4,6),(4,7)],8)
[5,4,8,1,2,7,6,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(3,6),(3,7)],8)
[6,5,1,2,8,7,4,3]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[5,3,1,6,4,2,8,7]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,6,2,8,7,4,3]=>([(0,7),(1,4),(1,7),(4,2),(4,3),(4,5),(4,6),(7,5),(7,6)],8)
[4,1,5,8,2,7,6,3]=>([(0,7),(1,4),(1,7),(4,3),(4,5),(4,6),(7,2),(7,5),(7,6)],8)
[4,1,2,5,8,7,6,3]=>([(0,7),(1,6),(6,2),(6,7),(7,3),(7,4),(7,5)],8)
[1,4,2,5,8,7,6,3]=>([(0,5),(0,6),(5,7),(6,1),(6,7),(7,2),(7,3),(7,4)],8)
[1,3,5,2,8,7,4,6]=>([(0,1),(0,3),(1,2),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(7,6)],8)
[3,5,1,2,8,7,4,6]=>([(0,3),(1,2),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(7,6)],8)
[3,6,2,8,7,5,1,4]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6)],8)
[4,2,6,1,8,7,3,5]=>([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(6,5),(7,3),(7,4)],8)
[4,3,1,5,8,2,7,6]=>([(0,7),(1,7),(2,4),(2,7),(4,5),(4,6),(7,3),(7,5),(7,6)],8)
[3,5,2,8,7,1,4,6]=>([(0,7),(1,4),(1,5),(1,7),(2,3),(2,7),(3,4),(3,5),(3,6),(7,6)],8)
[3,4,8,7,2,6,1,5]=>([(0,3),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[3,4,8,7,1,2,6,5]=>([(0,4),(1,5),(4,6),(4,7),(5,2),(5,3),(5,6),(5,7)],8)
[3,4,8,1,7,2,6,5]=>([(0,3),(0,7),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6),(4,7)],8)
[1,3,4,8,7,2,6,5]=>([(0,3),(0,4),(3,6),(3,7),(4,5),(5,1),(5,2),(5,6),(5,7)],8)
[1,3,4,8,2,7,6,5]=>([(0,2),(0,4),(2,5),(2,6),(2,7),(3,1),(3,5),(3,6),(3,7),(4,3)],8)
[3,4,8,1,2,7,6,5]=>([(0,3),(1,4),(3,5),(3,6),(3,7),(4,2),(4,5),(4,6),(4,7)],8)
[3,4,8,2,7,1,6,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(3,5),(3,6),(3,7)],8)
[3,4,8,2,7,6,1,5]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(3,5),(3,6),(3,7)],8)
[4,2,5,8,1,7,6,3]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(7,3),(7,4),(7,5)],8)
[4,3,1,2,5,8,7,6]=>([(0,7),(1,7),(2,3),(3,7),(7,4),(7,5),(7,6)],8)
[3,1,4,2,5,8,7,6]=>([(0,6),(1,5),(1,6),(5,7),(6,7),(7,2),(7,3),(7,4)],8)
[2,3,5,1,8,7,6,4]=>([(0,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(3,6)],8)
[7,8,2,1,5,3,6,4]=>([(0,5),(0,7),(1,5),(1,7),(2,4),(5,6),(7,3),(7,6)],8)
[6,4,1,2,7,3,5,8]=>([(0,7),(1,5),(1,7),(2,3),(3,4),(3,7),(4,5),(5,6),(7,6)],8)
[2,3,7,5,4,1,8,6]=>([(0,6),(0,7),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3),(5,4)],8)
[6,3,1,5,4,2,7,8]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(5,7),(6,7),(7,4)],8)
[7,8,1,5,4,2,6,3]=>([(0,5),(1,3),(1,4),(1,6),(3,7),(4,7),(6,2),(6,7)],8)
[7,8,3,5,4,1,6,2]=>([(0,5),(1,6),(1,7),(2,3),(2,4),(3,7),(4,7)],8)
[7,8,2,5,4,1,3,6]=>([(0,6),(1,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[7,8,2,5,4,6,1,3]=>([(0,6),(1,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[6,2,1,5,4,7,3,8]=>([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3),(7,3)],8)
[5,3,6,1,4,7,8,2]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(5,7),(6,7),(7,3)],8)
[5,3,6,2,4,7,1,8]=>([(0,6),(1,5),(2,4),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[6,4,2,1,7,3,8,5]=>([(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,7),(4,5),(4,6),(7,6)],8)
[4,3,7,5,8,6,1,2]=>([(0,5),(0,7),(1,5),(1,7),(2,4),(5,6),(7,3),(7,6)],8)
[4,2,7,1,8,3,6,5]=>([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(6,5),(7,3),(7,4)],8)
[3,2,6,7,4,8,1,5]=>([(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(6,3),(7,4),(7,5)],8)
[3,1,6,7,4,8,5,2]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(4,5),(6,4),(7,3),(7,5)],8)
[1,7,6,5,3,8,4,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(3,7),(4,7),(5,7),(6,1),(6,7)],8)
[2,7,6,5,3,8,1,4]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,7),(5,6),(5,7)],8)
[1,7,6,5,2,4,8,3]=>([(0,3),(0,4),(0,5),(0,6),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2)],8)
[2,7,6,5,3,1,4,8]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[2,7,1,4,8,3,5,6]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(3,4),(5,2),(6,5),(7,4),(7,5)],8)
[3,7,6,4,8,5,1,2]=>([(0,5),(1,3),(1,4),(1,6),(3,7),(4,7),(6,2),(6,7)],8)
[5,7,6,3,8,4,1,2]=>([(0,5),(1,6),(1,7),(2,3),(2,4),(3,7),(4,7)],8)
[5,1,6,2,4,8,3,7]=>([(0,6),(1,4),(1,6),(2,7),(3,5),(3,7),(4,2),(4,3),(6,5),(6,7)],8)
[4,7,6,5,2,1,3,8]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(6,7)],8)
[4,7,6,5,2,8,1,3]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7)],8)
[4,7,6,5,1,8,3,2]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,7),(3,7),(4,7)],8)
[1,7,6,5,2,8,3,4]=>([(0,2),(0,3),(0,4),(0,6),(2,7),(3,7),(4,7),(5,1),(6,5),(6,7)],8)
[1,7,6,5,3,2,8,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,6,5,1,2,8,3]=>([(0,6),(1,3),(1,4),(1,5),(3,7),(4,7),(5,7),(6,2),(6,7)],8)
[4,7,6,5,3,1,8,2]=>([(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[6,1,3,5,4,8,7,2]=>([(0,6),(0,7),(1,2),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3),(5,4)],8)
[5,2,6,3,4,1,7,8]=>([(0,7),(1,6),(2,3),(2,6),(3,5),(5,7),(6,7),(7,4)],8)
[5,1,6,2,4,7,8,3]=>([(0,6),(1,5),(1,6),(4,7),(5,3),(5,4),(6,7),(7,2)],8)
[1,2,6,3,4,8,7,5]=>([(0,5),(2,6),(2,7),(3,4),(4,1),(4,6),(4,7),(5,2),(5,3)],8)
[1,7,2,4,8,3,6,5]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,7),(4,1),(4,2)],8)
[6,1,4,2,8,3,5,7]=>([(0,6),(0,7),(1,3),(1,4),(2,5),(3,5),(3,7),(4,2),(4,7),(5,6)],8)
[4,1,8,2,6,3,5,7]=>([(0,3),(0,5),(1,5),(1,6),(1,7),(2,7),(3,2),(3,6),(6,4),(7,4)],8)
[4,7,2,1,5,3,6,8]=>([(0,4),(0,7),(1,4),(1,7),(2,3),(2,7),(3,6),(4,5),(5,6),(7,5)],8)
[4,7,1,6,2,3,8,5]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,5),(2,7),(3,7),(4,2),(6,7)],8)
[1,7,2,6,8,3,5,4]=>([(0,4),(0,6),(3,7),(4,7),(5,1),(5,2),(6,3),(6,5)],8)
[1,2,6,7,4,8,5,3]=>([(0,6),(3,7),(4,3),(5,1),(5,7),(6,2),(6,4),(6,5)],8)
[3,1,6,7,4,2,8,5]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,7),(3,4),(3,7),(5,2),(6,4),(6,7)],8)
[3,2,8,5,4,6,1,7]=>([(0,3),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(5,3),(6,5),(7,5)],8)
[4,7,6,3,5,8,1,2]=>([(0,6),(1,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[4,7,1,2,5,3,8,6]=>([(0,3),(0,6),(1,4),(2,5),(2,7),(3,7),(4,2),(4,6),(6,5),(6,7)],8)
[3,7,6,5,2,4,1,8]=>([(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[3,7,6,5,1,4,8,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(6,7)],8)
[3,7,6,5,2,1,8,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7)],8)
[1,7,6,5,8,2,4,3]=>([(0,3),(0,4),(0,5),(0,6),(3,7),(4,7),(5,7),(6,1),(6,2)],8)
[3,7,6,5,8,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7)],8)
[3,7,6,5,1,2,4,8]=>([(0,5),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[3,1,6,8,4,2,5,7]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(3,5),(5,4),(6,5),(7,2),(7,4)],8)
[4,7,6,8,3,5,1,2]=>([(0,6),(1,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[2,7,6,5,1,4,3,8]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,7,6,5,8,1,3,4]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(6,5)],8)
[2,7,6,5,8,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7)],8)
[6,3,2,1,7,4,8,5]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,5)],8)
[4,2,1,7,3,5,8,6]=>([(0,6),(0,7),(1,4),(1,7),(2,4),(2,7),(4,6),(6,3),(6,5),(7,5)],8)
[7,3,1,5,4,2,8,6]=>([(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,1,5,2,7,6,3]=>([(1,5),(2,3),(2,5),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
[8,2,5,1,3,7,6,4]=>([(1,5),(2,4),(2,5),(4,6),(4,7),(5,3),(5,6),(5,7)],8)
[4,3,7,2,1,5,8,6]=>([(0,7),(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(7,4),(7,6)],8)
[4,7,2,5,3,1,8,6]=>([(0,6),(0,7),(1,3),(1,5),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,5,4,1,3,8,6]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,4,3,2,1,8,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,2,1,8,4,3,7]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[5,7,4,3,2,8,1,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
[1,7,6,2,4,8,3,5]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(2,7),(3,7),(4,7),(5,1),(5,2)],8)
[2,7,3,6,4,8,1,5]=>([(0,6),(1,3),(1,5),(2,7),(3,7),(4,6),(4,7),(5,2),(5,4)],8)
[6,2,7,5,3,8,1,4]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,7)],8)
[7,1,8,5,3,6,4,2]=>([(0,7),(1,3),(1,4),(1,5),(1,7),(4,6),(5,2),(5,6)],8)
[5,8,3,2,7,1,6,4]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)
[8,7,3,1,6,5,4,2]=>([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[8,7,2,6,1,5,4,3]=>([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,8,5,7,4,3,6,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,1),(6,7)],8)
[1,8,5,7,2,4,6,3]=>([(0,4),(0,5),(0,6),(3,7),(5,2),(5,7),(6,1),(6,3)],8)
[3,8,6,1,7,2,5,4]=>([(0,4),(0,7),(1,2),(1,3),(1,5),(1,6),(3,7),(4,5),(4,6)],8)
[7,2,8,5,6,1,4,3]=>([(0,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4)],8)
[6,3,7,5,8,2,1,4]=>([(0,7),(1,7),(2,5),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
[3,7,2,6,8,4,1,5]=>([(0,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(6,4),(7,5)],8)
[3,6,5,8,1,4,2,7]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,7),(3,5),(3,7),(4,7),(6,7)],8)
[2,6,5,8,4,1,3,7]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
[6,5,4,8,3,2,1,7]=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,5,1,8,4,2,7]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,5),(2,6),(3,7),(4,6),(4,7),(5,7)],8)
[8,4,1,5,7,3,6,2]=>([(1,6),(2,3),(2,4),(2,6),(4,7),(6,5),(6,7)],8)
[5,4,1,6,8,2,3,7]=>([(0,7),(1,7),(2,3),(2,7),(3,5),(5,6),(7,4),(7,6)],8)
[6,3,7,4,8,5,2,1]=>([(2,6),(3,4),(3,6),(4,5),(4,7),(6,7)],8)
[4,7,2,5,8,6,3,1]=>([(1,3),(1,6),(2,4),(2,6),(4,7),(6,5),(6,7)],8)
[6,3,1,8,4,7,5,2]=>([(0,6),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(6,3),(6,5)],8)
[6,5,3,8,7,4,1,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8)
[5,4,8,1,7,6,2,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4)],8)
[5,2,8,1,7,3,6,4]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(6,3),(6,5)],8)
[6,4,7,8,1,5,3,2]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(7,3)],8)
[6,3,7,8,5,2,4,1]=>([(1,7),(2,6),(3,5),(3,6),(3,7),(7,4)],8)
[2,5,8,7,1,3,6,4]=>([(0,7),(1,5),(1,7),(5,3),(5,4),(5,6),(7,2),(7,6)],8)
[5,3,8,7,2,1,6,4]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[8,3,7,6,1,5,4,2]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7)],8)
[8,2,7,6,5,1,4,3]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[4,3,8,7,6,2,1,5]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[2,4,8,7,6,1,3,5]=>([(0,7),(1,5),(1,7),(5,2),(5,3),(5,4),(5,6),(7,6)],8)
[3,5,8,7,2,6,1,4]=>([(0,7),(1,3),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6)],8)
[4,7,3,8,6,5,1,2]=>([(0,5),(0,6),(0,7),(1,3),(2,4),(2,5),(2,6),(4,7)],8)
[7,5,8,6,4,3,2,1]=>([(4,7),(5,6),(5,7)],8)
[5,8,7,3,6,4,2,1]=>([(2,6),(2,7),(3,4),(3,5),(3,7)],8)
[4,8,7,6,2,5,3,1]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7)],8)
[3,8,7,6,5,1,4,2]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7)],8)
[2,8,7,6,5,4,1,3]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)
[3,6,5,1,2,4,8,7]=>([(0,4),(1,2),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[3,7,5,8,2,4,1,6]=>([(0,7),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(4,7),(5,7)],8)
[3,8,5,7,2,4,1,6]=>([(0,7),(1,6),(2,3),(2,4),(2,6),(4,5),(4,7),(6,7)],8)
[5,1,7,8,4,3,2,6]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(6,5)],8)
[5,1,2,6,4,3,8,7]=>([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,2),(4,3),(4,5),(5,6),(5,7)],8)
[6,1,2,5,4,3,8,7]=>([(0,6),(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3),(5,4)],8)
[5,1,2,4,6,3,8,7]=>([(0,7),(1,4),(2,7),(3,5),(3,6),(4,2),(4,3),(7,5),(7,6)],8)
[4,1,2,6,5,3,8,7]=>([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,5,7,8,3,2,6]=>([(0,6),(1,3),(1,4),(1,6),(3,7),(4,7),(5,2),(6,5),(6,7)],8)
[4,1,5,8,7,3,2,6]=>([(0,6),(1,2),(1,3),(1,6),(2,7),(3,7),(6,4),(6,5),(6,7)],8)
[4,7,1,8,3,6,2,5]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(2,7),(3,6),(3,7),(4,5)],8)
[4,1,7,8,5,2,3,6]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(3,5),(4,3),(6,5),(7,2)],8)
[5,1,7,4,8,2,3,6]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(2,7),(3,5),(3,7),(4,2),(6,5)],8)
[7,5,3,8,1,4,2,6]=>([(0,6),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(4,7),(5,7)],8)
[2,1,5,8,7,3,4,6]=>([(0,6),(0,7),(1,6),(1,7),(4,5),(6,4),(7,2),(7,3),(7,5)],8)
[5,1,8,4,7,2,3,6]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(2,7),(3,5),(3,7),(4,2)],8)
[4,1,8,7,5,2,3,6]=>([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(3,4),(7,4)],8)
[4,7,1,6,3,2,8,5]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(4,7),(5,7)],8)
[6,1,2,3,7,5,8,4]=>([(0,7),(1,4),(3,6),(4,5),(5,2),(5,3),(5,7),(7,6)],8)
[7,1,2,3,8,6,5,4]=>([(0,7),(1,5),(5,6),(6,2),(6,3),(6,4),(6,7)],8)
[7,1,2,3,5,8,6,4]=>([(0,7),(1,4),(4,6),(5,2),(5,7),(6,3),(6,5)],8)
[6,8,1,4,3,7,2,5]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(2,6),(3,6),(3,7),(4,6),(4,7)],8)
[8,7,3,2,4,1,6,5]=>([(2,5),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,7,3,4,8,6,5]=>([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(4,5),(6,5),(7,4)],8)
[7,8,3,2,4,1,6,5]=>([(0,5),(1,5),(2,6),(2,7),(3,4),(5,6),(5,7)],8)
[6,7,1,4,3,8,2,5]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[8,1,2,3,5,7,6,4]=>([(1,5),(5,7),(6,3),(6,4),(7,2),(7,6)],8)
[8,1,2,3,6,7,5,4]=>([(1,6),(5,4),(6,7),(7,2),(7,3),(7,5)],8)
[7,1,2,3,6,8,5,4]=>([(0,7),(1,5),(4,7),(5,6),(6,2),(6,3),(6,4)],8)
[7,1,2,3,8,5,6,4]=>([(0,7),(1,5),(4,3),(5,6),(6,2),(6,4),(6,7)],8)
[8,1,2,3,7,5,6,4]=>([(1,6),(5,4),(6,7),(7,2),(7,3),(7,5)],8)
[8,1,2,3,6,5,7,4]=>([(1,5),(3,7),(4,7),(5,6),(6,2),(6,3),(6,4)],8)
[7,1,8,5,4,3,2,6]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7)],8)
[7,8,2,6,3,4,1,5]=>([(0,7),(1,4),(2,3),(2,6),(5,7),(6,5)],8)
[6,8,2,7,3,4,1,5]=>([(0,7),(1,3),(1,6),(2,4),(2,6),(4,5),(5,7)],8)
[6,7,2,8,3,4,1,5]=>([(0,6),(1,3),(2,4),(2,7),(3,7),(4,5),(5,6)],8)
[3,8,7,1,4,2,6,5]=>([(0,4),(0,7),(1,2),(1,3),(1,7),(4,5),(4,6),(7,5),(7,6)],8)
[3,7,8,1,4,2,6,5]=>([(0,3),(0,7),(1,4),(1,7),(3,5),(3,6),(4,2),(7,5),(7,6)],8)
[3,6,8,1,4,2,7,5]=>([(0,3),(0,6),(1,4),(1,6),(3,5),(3,7),(4,2),(4,7),(6,5),(6,7)],8)
[3,5,7,8,2,4,1,6]=>([(0,7),(1,6),(2,3),(2,6),(3,5),(3,7),(5,4),(6,7)],8)
[3,6,7,1,4,2,8,5]=>([(0,3),(0,6),(1,4),(1,6),(2,7),(3,5),(3,7),(4,2),(6,5),(6,7)],8)
[7,6,2,8,3,1,4,5]=>([(0,7),(1,7),(2,6),(3,4),(3,7),(4,6),(6,5)],8)
[8,6,2,7,3,1,4,5]=>([(1,7),(2,6),(3,4),(3,6),(4,7),(7,5)],8)
[8,1,7,5,4,3,2,6]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,7)],8)
[8,1,7,4,5,3,2,6]=>([(1,2),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,3)],8)
[5,8,3,7,1,4,2,6]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(2,7),(4,7),(6,7)],8)
[2,1,7,3,4,6,8,5]=>([(0,6),(0,7),(1,6),(1,7),(3,5),(4,2),(4,3),(6,5),(7,4)],8)
[6,7,3,2,4,1,8,5]=>([(0,6),(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(5,7)],8)
[8,7,2,4,3,6,1,5]=>([(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,2,3,5,6,8,4]=>([(0,7),(1,5),(3,7),(4,3),(5,6),(6,2),(6,4)],8)
[6,1,2,3,8,7,4,5]=>([(0,6),(0,7),(1,4),(3,2),(4,5),(5,3),(5,6),(5,7)],8)
[5,1,2,3,7,8,6,4]=>([(0,6),(0,7),(1,4),(4,5),(5,2),(5,6),(5,7),(7,3)],8)
[5,1,2,3,8,7,6,4]=>([(0,5),(0,6),(0,7),(1,3),(3,4),(4,2),(4,5),(4,6),(4,7)],8)
[5,1,2,3,8,6,7,4]=>([(0,6),(0,7),(1,4),(4,5),(5,2),(5,6),(5,7),(7,3)],8)
[6,1,2,3,5,8,7,4]=>([(0,6),(0,7),(1,4),(3,6),(3,7),(4,5),(5,2),(5,3)],8)
[8,6,2,4,3,1,7,5]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,3,2,4,8,1,5]=>([(0,6),(1,7),(2,7),(3,5),(4,5),(5,6),(5,7)],8)
[2,1,6,3,4,8,7,5]=>([(0,6),(0,7),(1,6),(1,7),(3,2),(3,4),(3,5),(6,3),(7,4),(7,5)],8)
[8,6,3,2,4,7,1,5]=>([(1,5),(2,5),(3,7),(4,6),(5,6),(5,7)],8)
[7,6,2,4,3,1,8,5]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,2,3,5,7,8,4]=>([(0,7),(1,5),(3,7),(5,6),(6,2),(6,3),(7,4)],8)
[5,1,2,3,6,8,7,4]=>([(0,7),(1,5),(5,6),(6,2),(6,7),(7,3),(7,4)],8)
[7,8,1,2,6,3,5,4]=>([(0,7),(1,5),(6,3),(6,4),(7,2),(7,6)],8)
[1,4,8,2,7,3,5,6]=>([(0,4),(0,5),(3,7),(4,3),(4,6),(5,2),(5,6),(5,7),(7,1)],8)
[1,2,8,5,4,7,3,6]=>([(0,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,3),(5,4)],8)
[1,3,8,5,4,2,7,6]=>([(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,3)],8)
[2,3,6,8,4,7,1,5]=>([(0,7),(1,5),(3,6),(3,7),(4,2),(4,6),(5,3),(5,4)],8)
[1,3,6,8,4,7,5,2]=>([(0,3),(0,6),(4,2),(4,7),(5,1),(5,7),(6,4),(6,5)],8)
[2,4,8,1,7,3,6,5]=>([(0,3),(0,7),(1,6),(1,7),(3,2),(3,4),(3,5),(3,6),(7,4),(7,5)],8)
[3,4,8,5,7,6,1,2]=>([(0,7),(1,5),(6,3),(6,4),(7,2),(7,6)],8)
[1,2,6,8,4,5,7,3]=>([(0,6),(3,7),(4,3),(5,1),(5,7),(6,2),(6,4),(6,5)],8)
[7,5,1,2,4,3,6,8]=>([(0,3),(1,7),(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[7,4,6,1,5,2,3,8]=>([(0,7),(1,3),(1,6),(2,4),(2,6),(3,5),(4,7),(5,7),(6,7)],8)
[7,1,4,2,6,3,5,8]=>([(0,7),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6),(5,7),(6,7)],8)
[6,8,1,4,7,2,3,5]=>([(0,4),(0,7),(1,3),(1,5),(2,6),(3,6),(3,7),(5,2)],8)
[1,6,4,2,8,3,5,7]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(2,7),(3,5),(3,7),(4,1),(4,7),(5,6)],8)
[1,6,3,8,5,4,2,7]=>([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(4,7),(5,1),(5,2),(5,6)],8)
[6,8,1,7,3,5,4,2]=>([(0,5),(0,7),(1,4),(1,6),(1,7),(6,2),(6,3)],8)
[7,1,3,6,5,4,2,8]=>([(0,7),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2),(6,3),(6,4)],8)
[7,3,1,6,5,4,2,8]=>([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[7,2,1,4,6,3,5,8]=>([(0,7),(1,4),(1,6),(2,4),(2,6),(3,7),(4,5),(5,7),(6,3),(6,5)],8)
[7,2,3,6,5,1,4,8]=>([(0,3),(1,7),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[7,1,2,3,6,5,4,8]=>([(0,7),(1,5),(2,7),(3,7),(4,7),(5,6),(6,2),(6,3),(6,4)],8)
[6,8,1,2,7,3,5,4]=>([(0,5),(1,4),(1,7),(5,6),(5,7),(6,2),(6,3)],8)
[1,6,2,3,8,5,4,7]=>([(0,3),(0,4),(1,7),(2,7),(3,6),(3,7),(4,5),(5,1),(5,2),(5,6)],8)
[1,5,8,2,7,6,3,4]=>([(0,4),(0,5),(3,2),(4,3),(4,6),(4,7),(5,1),(5,6),(5,7)],8)
[5,1,8,2,7,6,3,4]=>([(0,5),(0,6),(0,7),(1,4),(1,7),(3,2),(4,3),(4,5),(4,6)],8)
[5,8,2,7,6,3,4,1]=>([(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(4,5)],8)
[6,2,8,1,7,3,5,4]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4)],8)
[6,8,2,1,7,4,3,5]=>([(0,4),(0,5),(0,7),(1,4),(1,5),(1,7),(2,3),(2,7),(4,6),(5,6)],8)
[3,6,4,1,2,8,5,7]=>([(0,4),(1,2),(1,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[2,1,6,3,8,5,4,7]=>([(0,5),(0,6),(1,5),(1,6),(2,7),(3,7),(5,4),(5,7),(6,2),(6,3),(6,4)],8)
[2,5,1,8,7,6,3,4]=>([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(3,4),(3,5),(3,6),(7,2)],8)
[2,5,3,8,7,4,6,1]=>([(1,3),(1,4),(2,5),(3,5),(3,6),(3,7),(4,2),(4,6),(4,7)],8)
[1,2,5,3,8,7,4,6]=>([(0,4),(1,5),(2,5),(2,6),(2,7),(3,1),(3,6),(3,7),(4,2),(4,3)],8)
[2,4,8,7,6,5,1,3]=>([(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5)],8)
[2,5,3,8,7,1,6,4]=>([(0,2),(0,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[2,5,8,4,1,7,6,3]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(3,6),(3,7),(4,2),(4,6),(4,7)],8)
[3,5,8,7,1,4,2,6]=>([(0,4),(0,6),(1,5),(1,6),(4,7),(5,2),(5,3),(5,7),(6,7)],8)
[5,3,8,4,1,7,6,2]=>([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7)],8)
[4,2,8,7,6,3,5,1]=>([(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,7)],8)
[4,2,8,7,6,5,3,1]=>([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[4,1,8,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)
[4,3,8,7,6,5,1,2]=>([(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7)],8)
[6,3,1,8,7,2,5,4]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5)],8)
[5,8,3,7,6,1,4,2]=>([(0,5),(0,6),(0,7),(1,3),(1,5),(2,4),(2,6),(2,7)],8)
[5,1,3,8,7,6,2,4]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,5,3,8,7,6,2,4]=>([(0,1),(0,2),(0,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7)],8)
[1,5,8,4,7,2,6,3]=>([(0,3),(0,4),(0,5),(3,6),(3,7),(4,2),(4,7),(5,1),(5,6),(5,7)],8)
[5,1,8,4,7,2,6,3]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(3,5),(3,7),(4,2),(4,7)],8)
[5,8,7,4,6,1,2,3]=>([(0,7),(1,6),(2,4),(2,5),(2,7),(6,3)],8)
[6,8,5,1,2,4,7,3]=>([(0,7),(1,6),(2,5),(2,7),(4,7),(6,3),(6,4)],8)
[5,6,3,1,2,4,8,7]=>([(0,5),(1,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,2,4,3,1,8,7]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,1,2,4,3,8,7]=>([(0,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3)],8)
[4,5,8,1,7,2,3,6]=>([(0,5),(1,4),(1,7),(3,6),(4,3),(5,2),(5,6),(5,7)],8)
[4,5,8,1,7,2,6,3]=>([(0,5),(1,4),(1,7),(4,2),(4,6),(5,3),(5,6),(5,7)],8)
[1,3,2,5,8,7,4,6]=>([(0,3),(0,4),(3,5),(3,7),(4,5),(4,7),(5,6),(7,1),(7,2),(7,6)],8)
[3,5,1,8,7,4,6,2]=>([(0,3),(0,7),(1,2),(1,5),(1,6),(1,7),(3,4),(3,5),(3,6),(7,4)],8)
[3,5,1,8,7,2,6,4]=>([(0,3),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6)],8)
[4,3,6,1,2,8,5,7]=>([(0,4),(0,7),(1,4),(1,7),(2,3),(3,6),(3,7),(4,5),(4,6),(7,5)],8)
[4,5,8,3,1,7,2,6]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,5,2,8,7,1,3,6]=>([(0,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(7,4)],8)
[3,2,5,8,7,1,6,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(6,3),(6,4),(6,5)],8)
[3,4,8,7,6,2,1,5]=>([(0,7),(1,7),(2,6),(6,3),(6,4),(6,5),(6,7)],8)
[3,1,4,8,7,6,2,5]=>([(0,7),(1,5),(1,7),(5,6),(7,2),(7,3),(7,4),(7,6)],8)
[3,4,8,7,6,5,1,2]=>([(0,6),(1,7),(7,2),(7,3),(7,4),(7,5)],8)
[1,3,4,8,7,6,2,5]=>([(0,4),(0,5),(4,7),(5,6),(6,1),(6,2),(6,3),(6,7)],8)
[3,4,8,7,6,2,5,1]=>([(1,7),(2,6),(6,3),(6,4),(6,5),(6,7)],8)
[3,2,5,8,7,4,6,1]=>([(1,5),(1,7),(2,5),(2,7),(5,6),(7,3),(7,4),(7,6)],8)
[4,5,8,3,1,7,6,2]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(2,7),(4,5),(4,6),(4,7)],8)
[2,1,3,5,8,7,4,6]=>([(0,7),(1,7),(4,6),(5,2),(5,3),(5,6),(7,4),(7,5)],8)
[1,2,7,5,8,6,4,3]=>([(0,6),(4,7),(5,3),(5,7),(6,1),(6,2),(6,4),(6,5)],8)
[7,1,4,8,2,6,5,3]=>([(0,7),(1,3),(1,4),(3,5),(3,6),(3,7),(4,2),(4,5),(4,6)],8)
[6,8,1,3,7,5,2,4]=>([(0,4),(0,7),(1,3),(1,5),(3,6),(5,2),(5,6),(5,7)],8)
[3,7,8,1,2,6,5,4]=>([(0,3),(1,4),(1,5),(1,6),(1,7),(3,5),(3,6),(3,7),(4,2)],8)
[1,3,7,8,2,6,5,4]=>([(0,2),(0,4),(2,5),(2,6),(2,7),(3,1),(4,3),(4,5),(4,6),(4,7)],8)
[2,3,7,8,1,6,5,4]=>([(0,5),(0,6),(0,7),(1,4),(3,2),(4,3),(4,5),(4,6),(4,7)],8)
[2,7,8,1,3,6,5,4]=>([(0,7),(1,6),(1,7),(6,2),(7,3),(7,4),(7,5)],8)
[8,1,2,6,7,3,5,4]=>([(1,7),(5,4),(6,2),(6,3),(7,5),(7,6)],8)
[8,1,2,6,7,5,3,4]=>([(1,7),(5,4),(6,3),(7,2),(7,5),(7,6)],8)
[8,2,5,7,1,3,6,4]=>([(1,6),(2,3),(2,6),(3,5),(3,7),(6,4),(6,7)],8)
[2,8,1,6,7,3,5,4]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(6,5),(7,2),(7,3)],8)
[2,6,8,3,7,1,5,4]=>([(0,6),(0,7),(1,3),(1,4),(3,5),(3,6),(3,7),(4,2),(4,5)],8)
[2,8,6,4,7,1,5,3]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(3,5),(4,5),(4,6)],8)
[6,8,3,4,1,7,5,2]=>([(0,5),(1,3),(1,7),(2,4),(2,6),(2,7),(5,6),(5,7)],8)
[6,8,3,7,4,1,5,2]=>([(0,4),(0,7),(1,3),(1,6),(2,5),(2,6),(5,7)],8)
[2,6,8,3,7,5,1,4]=>([(0,7),(1,4),(1,5),(4,2),(4,6),(5,3),(5,6),(5,7)],8)
[2,8,1,6,7,5,3,4]=>([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(6,4),(7,3)],8)
[8,2,5,7,1,6,3,4]=>([(1,6),(1,7),(2,3),(2,6),(3,5),(3,7),(6,4)],8)
[8,4,7,2,3,6,1,5]=>([(1,7),(2,5),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
[8,5,7,4,2,6,1,3]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(4,7)],8)
[8,3,5,7,4,1,6,2]=>([(1,4),(1,7),(2,5),(2,6),(5,7),(6,3),(6,7)],8)
[8,5,2,4,7,1,6,3]=>([(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(4,6),(4,7)],8)
[8,2,3,5,7,1,6,4]=>([(1,3),(2,6),(2,7),(3,5),(3,6),(5,4),(5,7)],8)
[8,2,4,7,3,6,1,5]=>([(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,2,7,1,4,6,3,5]=>([(1,5),(1,7),(2,4),(2,5),(2,7),(5,6),(7,3),(7,6)],8)
[8,7,1,2,4,6,3,5]=>([(2,6),(4,7),(5,3),(5,7),(6,4),(6,5)],8)
[8,7,1,4,6,2,3,5]=>([(2,5),(2,6),(4,7),(5,4),(6,3),(6,7)],8)
[8,4,7,1,3,6,2,5]=>([(1,3),(1,6),(1,7),(2,4),(2,5),(4,7),(5,6),(5,7)],8)
[1,6,8,3,7,2,5,4]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,1),(4,7)],8)
[8,3,5,7,1,2,6,4]=>([(1,4),(2,3),(2,6),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,7,1,3,6,2,4]=>([(0,4),(0,5),(1,2),(1,3),(1,7),(4,6),(5,6),(5,7)],8)
[8,5,4,7,1,6,2,3]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5)],8)
[8,5,4,7,1,2,6,3]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(4,7)],8)
[8,5,1,4,7,2,6,3]=>([(1,6),(1,7),(2,3),(2,4),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,6,8,2,7,5,3]=>([(0,4),(0,5),(3,2),(3,7),(4,3),(4,6),(5,1),(5,6),(5,7)],8)
[1,6,5,8,2,7,4,3]=>([(0,3),(0,4),(0,5),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,7)],8)
[8,5,6,3,1,7,4,2]=>([(1,6),(1,7),(2,5),(3,4),(3,6),(3,7),(5,7)],8)
[5,6,2,8,1,7,4,3]=>([(0,4),(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(3,6),(3,7)],8)
[1,8,4,5,7,2,6,3]=>([(0,3),(0,5),(0,6),(4,2),(4,7),(5,4),(6,1),(6,7)],8)
[5,8,7,3,6,1,2,4]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(2,6),(5,7)],8)
[8,3,5,7,1,6,2,4]=>([(1,3),(1,7),(2,4),(2,6),(3,6),(4,5),(4,7)],8)
[1,6,8,3,7,5,2,4]=>([(0,3),(0,4),(0,5),(3,6),(4,2),(4,7),(5,1),(5,6),(5,7)],8)
[6,3,8,2,7,5,1,4]=>([(0,7),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[6,8,4,2,7,1,5,3]=>([(0,6),(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,7)],8)
[8,6,4,7,3,1,5,2]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(4,7)],8)
[8,4,5,7,3,1,6,2]=>([(1,7),(2,5),(3,4),(3,7),(5,6),(5,7)],8)
[8,4,2,5,7,1,6,3]=>([(1,7),(2,5),(2,7),(3,5),(3,6),(7,4),(7,6)],8)
[8,3,4,7,2,6,1,5]=>([(1,7),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[8,7,1,3,4,6,2,5]=>([(2,4),(2,5),(4,7),(5,6),(6,3),(6,7)],8)
[8,3,7,2,4,6,1,5]=>([(1,7),(2,6),(3,5),(3,7),(7,4),(7,6)],8)
[2,8,4,5,7,1,6,3]=>([(0,6),(0,7),(1,3),(1,4),(1,7),(4,5),(5,2),(5,6)],8)
[8,7,3,4,5,1,6,2]=>([(2,5),(3,4),(3,7),(5,6),(6,7)],8)
[8,7,4,5,2,6,1,3]=>([(2,6),(3,6),(3,7),(4,5),(5,7)],8)
[5,8,7,2,3,6,1,4]=>([(0,6),(1,5),(2,3),(2,4),(2,7),(5,6),(5,7)],8)
[8,7,2,3,4,6,1,5]=>([(2,4),(3,7),(4,6),(6,5),(6,7)],8)
[8,7,2,3,6,1,4,5]=>([(2,7),(3,4),(4,6),(4,7),(7,5)],8)
[1,3,2,8,5,4,7,6]=>([(0,1),(0,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8)
[4,2,8,5,3,7,1,6]=>([(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(5,6),(5,7)],8)
[5,2,1,8,4,3,7,6]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[6,2,8,4,3,7,5,1]=>([(1,5),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[7,2,8,4,3,1,6,5]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[7,3,4,8,2,1,6,5]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,5),(4,6),(4,7)],8)
[6,3,4,8,2,7,5,1]=>([(1,6),(1,7),(2,5),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[5,3,4,1,8,2,7,6]=>([(0,5),(0,6),(0,7),(1,4),(2,3),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,1,4,5,2,3,7,6]=>([(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,3),(5,2)],8)
[8,1,5,4,3,2,7,6]=>([(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,4,2,8,1,7,6]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,5,3,2,8,7,1,6]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[6,4,3,2,8,7,5,1]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,5,3,2,1,7,8,4]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[5,6,3,2,7,8,4,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(4,7),(7,5)],8)
[4,1,6,3,2,7,8,5]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,7),(7,2)],8)
[3,6,4,2,7,8,1,5]=>([(0,6),(1,6),(1,7),(2,3),(2,5),(3,7),(5,6),(5,7),(7,4)],8)
[8,1,6,4,3,7,2,5]=>([(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,7,4,3,6,5,2]=>([(1,2),(1,3),(1,4),(1,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,4,1,3,6,5,8]=>([(0,6),(1,2),(1,3),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7),(6,4),(6,5)],8)
[3,7,4,2,6,1,5,8]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,1,7,3,2,6,5,8]=>([(0,2),(0,3),(0,4),(1,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(6,5),(7,5)],8)
[5,7,3,2,6,4,8,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[6,7,3,2,5,4,1,8]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(4,7),(5,7),(6,7)],8)
[7,6,3,2,1,5,4,8]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,7,5,6,2,3,8,1]=>([(1,5),(2,4),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[3,1,7,5,6,2,4,8]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(3,4),(4,7),(5,7),(6,2)],8)
[2,7,5,6,1,3,4,8]=>([(0,6),(1,3),(1,5),(1,6),(2,7),(3,7),(4,7),(5,2),(6,4)],8)
[2,6,5,7,1,3,8,4]=>([(0,7),(1,3),(1,4),(1,7),(3,5),(4,5),(5,6),(7,2),(7,6)],8)
[4,6,5,7,2,8,1,3]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(7,6)],8)
[5,6,4,7,2,8,3,1]=>([(1,7),(2,5),(3,4),(3,6),(5,7),(7,6)],8)
[6,5,4,1,7,2,8,3]=>([(0,7),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(7,6)],8)
[7,5,4,6,2,1,8,3]=>([(0,7),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
[6,4,5,7,1,8,2,3]=>([(0,7),(1,3),(2,4),(2,6),(3,7),(4,5),(7,6)],8)
[5,4,6,1,7,8,2,3]=>([(0,6),(1,6),(2,4),(2,7),(4,5),(6,7),(7,3)],8)
[8,1,5,6,7,2,3,4]=>([(1,6),(1,7),(4,3),(5,2),(6,4),(7,5)],8)
[2,1,4,6,8,7,3,5]=>([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(6,5),(7,4),(7,5)],8)
[3,4,6,8,7,1,2,5]=>([(0,4),(1,5),(4,7),(5,6),(5,7),(6,2),(6,3)],8)
[4,3,1,6,8,7,2,5]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(3,7),(6,4),(6,5)],8)
[5,3,6,8,7,2,4,1]=>([(1,7),(2,6),(3,6),(3,7),(7,4),(7,5)],8)
[6,3,5,1,8,7,2,4]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(3,6),(3,7),(4,5)],8)
[7,3,5,8,6,2,1,4]=>([(0,7),(1,7),(2,6),(3,4),(3,7),(4,5),(4,6)],8)
[7,2,8,5,6,3,1,4]=>([(0,7),(1,6),(2,3),(2,4),(2,6),(3,7),(4,5)],8)
[6,2,8,5,1,7,3,4]=>([(0,6),(0,7),(1,5),(1,7),(2,4),(2,5),(2,6),(4,7),(6,3)],8)
[4,2,1,8,6,7,3,5]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(4,5),(7,3)],8)
[1,3,2,8,6,7,4,5]=>([(0,3),(0,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,2),(7,1)],8)
[2,3,8,6,7,1,4,5]=>([(0,7),(1,6),(5,3),(6,2),(6,5),(6,7),(7,4)],8)
[8,1,3,2,6,7,4,5]=>([(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8)
[2,3,8,7,1,6,5,4]=>([(0,5),(0,6),(0,7),(1,4),(4,2),(4,3),(4,5),(4,6),(4,7)],8)
[4,2,8,7,6,1,5,3]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[5,2,8,7,6,4,1,3]=>([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[7,2,1,8,6,5,4,3]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[7,3,6,1,8,5,4,2]=>([(0,7),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(4,7)],8)
[6,3,7,8,5,4,2,1]=>([(2,7),(3,4),(3,5),(3,7),(7,6)],8)
[5,3,7,8,6,4,1,2]=>([(0,6),(0,7),(1,3),(2,4),(2,6),(2,7),(7,5)],8)
[4,3,1,7,8,6,5,2]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[3,4,7,8,6,1,5,2]=>([(0,6),(1,4),(1,7),(5,3),(6,2),(6,5),(6,7)],8)
[8,1,5,7,6,2,4,3]=>([(1,6),(1,7),(6,4),(6,5),(7,2),(7,3)],8)
[3,5,7,6,8,1,4,2]=>([(0,4),(0,7),(1,5),(1,7),(2,6),(3,6),(5,2),(5,3)],8)
[4,5,7,6,8,3,1,2]=>([(1,5),(2,6),(3,7),(4,7),(6,3),(6,4)],8)
[5,4,1,7,6,8,3,2]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(6,5),(7,5)],8)
[6,4,7,5,8,3,2,1]=>([(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,4,6,5,1,8,3,2]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(5,7),(6,7)],8)
[7,5,6,4,3,1,8,2]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,7),(6,7)],8)
[6,5,1,7,4,3,8,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[4,6,7,5,3,8,1,2]=>([(0,7),(1,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)
[3,6,7,5,1,4,8,2]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,7),(3,7),(5,2),(6,7)],8)
[8,1,6,7,5,4,2,3]=>([(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8)
[8,1,7,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)
[2,7,6,1,5,4,3,8]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,7,6,5,1,4,2,8]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,7,6,5,3,1,2,8]=>([(0,7),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(6,7)],8)
[8,6,4,3,1,5,7,2]=>([(1,7),(2,7),(3,6),(4,5),(4,7),(7,6)],8)
[8,6,4,1,5,2,7,3]=>([(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(6,7)],8)
[8,6,5,1,3,2,7,4]=>([(1,7),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,3,1,7,2,4,5]=>([(1,7),(2,6),(2,7),(3,4),(3,7),(4,6),(6,5)],8)
[8,7,3,1,5,2,4,6]=>([(2,5),(2,7),(3,4),(3,5),(4,7),(5,6),(7,6)],8)
[5,3,1,7,2,4,6,8]=>([(0,6),(0,7),(1,4),(1,7),(2,3),(2,7),(3,6),(4,5),(6,4),(7,5)],8)
[8,7,1,2,4,5,3,6]=>([(2,6),(3,7),(4,7),(5,4),(6,3),(6,5)],8)
[8,6,1,2,4,7,3,5]=>([(1,3),(2,6),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[8,5,1,2,6,7,3,4]=>([(1,7),(2,6),(5,3),(6,5),(6,7),(7,4)],8)
[8,5,1,6,4,2,7,3]=>([(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(4,7),(6,7)],8)
[8,5,1,3,6,4,7,2]=>([(1,7),(2,3),(2,4),(4,5),(4,7),(5,6),(7,6)],8)
[8,6,1,5,3,4,7,2]=>([(1,7),(2,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)
[8,6,1,5,2,4,7,3]=>([(1,7),(2,5),(2,6),(4,7),(5,7),(6,3),(6,4)],8)
[8,6,1,2,5,7,3,4]=>([(1,7),(2,6),(4,7),(5,3),(6,4),(6,5)],8)
[8,6,1,2,7,4,3,5]=>([(1,3),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[8,7,1,2,5,4,3,6]=>([(2,6),(3,7),(4,7),(5,7),(6,3),(6,4),(6,5)],8)
[5,1,4,2,3,8,6,7]=>([(0,6),(0,7),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3),(7,2)],8)
[5,1,4,2,7,3,6,8]=>([(0,6),(0,7),(1,3),(1,4),(2,6),(3,6),(3,7),(4,2),(4,7),(6,5),(7,5)],8)
[7,1,5,8,2,6,3,4]=>([(0,7),(1,3),(1,5),(3,6),(3,7),(4,2),(5,4),(5,6)],8)
[5,7,8,1,2,4,6,3]=>([(0,6),(1,5),(1,7),(4,7),(5,3),(6,2),(6,4)],8)
[5,7,8,1,3,4,6,2]=>([(0,6),(0,7),(1,3),(1,5),(4,7),(5,4),(6,2)],8)
[5,8,1,7,3,4,6,2]=>([(0,4),(0,6),(0,7),(1,2),(1,5),(1,7),(3,6),(5,3)],8)
[8,1,5,7,2,4,6,3]=>([(1,5),(1,6),(4,7),(5,3),(5,7),(6,2),(6,4)],8)
[8,4,1,2,7,6,3,5]=>([(1,5),(1,6),(1,7),(2,3),(3,4),(3,6),(3,7),(4,5)],8)
[1,4,2,3,8,7,5,6]=>([(0,3),(0,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,2),(7,1)],8)
[1,4,2,7,6,3,5,8]=>([(0,2),(0,3),(1,4),(2,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[6,1,2,8,7,5,3,4]=>([(0,6),(0,7),(1,5),(4,3),(5,2),(5,4),(5,6),(5,7)],8)
[6,1,2,4,8,7,5,3]=>([(0,6),(0,7),(1,5),(4,3),(4,6),(4,7),(5,2),(5,4)],8)
[3,1,8,4,6,7,5,2]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(5,3),(7,2),(7,5)],8)
[3,1,7,6,4,8,5,2]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(4,7),(5,7),(6,2),(6,7)],8)
[7,1,2,4,6,8,5,3]=>([(0,7),(1,6),(4,7),(5,3),(5,4),(6,2),(6,5)],8)
[7,1,2,6,8,5,3,4]=>([(0,7),(1,6),(4,7),(5,3),(6,2),(6,4),(6,5)],8)
[6,1,2,7,8,5,3,4]=>([(0,7),(1,6),(5,3),(6,2),(6,5),(6,7),(7,4)],8)
[6,1,2,7,4,8,5,3]=>([(0,7),(1,5),(4,3),(4,6),(5,2),(5,4),(5,7),(7,6)],8)
[3,1,6,4,7,8,5,2]=>([(0,5),(0,7),(1,3),(1,5),(1,7),(5,6),(6,4),(7,2),(7,6)],8)
[5,7,1,3,8,4,6,2]=>([(0,4),(0,7),(1,3),(1,5),(2,7),(4,6),(5,2),(5,6)],8)
[5,7,1,8,4,2,6,3]=>([(0,4),(0,7),(1,3),(1,5),(1,6),(3,7),(4,6),(5,2),(5,7)],8)
[7,1,5,3,2,8,6,4]=>([(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,1,4,5,2,8,6,3]=>([(0,7),(1,4),(1,5),(3,6),(3,7),(4,3),(5,2),(5,6),(5,7)],8)
[4,7,3,1,5,8,6,2]=>([(0,7),(1,3),(1,7),(2,5),(2,7),(5,6),(7,4),(7,6)],8)
[4,8,7,3,1,5,6,2]=>([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(7,6)],8)
[8,1,7,4,5,2,6,3]=>([(1,3),(1,5),(1,6),(4,7),(5,4),(6,2),(6,7)],8)
[8,1,7,5,3,2,6,4]=>([(1,2),(1,3),(1,4),(1,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,7,1,2,6,4,5]=>([(1,5),(2,3),(2,6),(2,7),(5,6),(5,7),(7,4)],8)
[3,1,2,8,4,7,5,6]=>([(0,6),(0,7),(1,4),(4,6),(4,7),(5,3),(7,2),(7,5)],8)
[3,1,2,8,6,4,5,7]=>([(0,3),(1,4),(1,5),(1,7),(2,6),(3,4),(3,5),(3,7),(5,2),(7,6)],8)
[3,1,7,2,6,4,5,8]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,7),(3,4),(3,5),(4,7),(5,2),(6,7)],8)
[1,4,2,3,8,6,5,7]=>([(0,1),(0,3),(1,2),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[1,4,2,3,8,5,7,6]=>([(0,4),(0,5),(3,6),(3,7),(4,6),(4,7),(5,3),(7,1),(7,2)],8)
[5,8,1,7,2,4,6,3]=>([(0,5),(0,7),(1,4),(1,6),(1,7),(3,6),(5,2),(5,3)],8)
[5,8,1,3,4,7,6,2]=>([(0,4),(0,6),(0,7),(1,2),(1,5),(3,6),(3,7),(5,3)],8)
[3,1,8,6,4,7,5,2]=>([(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(6,4),(7,2),(7,4)],8)
[8,1,2,6,7,4,5,3]=>([(1,7),(5,4),(6,3),(7,2),(7,5),(7,6)],8)
[6,1,2,8,7,3,5,4]=>([(0,6),(0,7),(1,4),(4,5),(4,6),(4,7),(5,2),(5,3)],8)
[1,2,3,5,8,4,7,6]=>([(0,4),(2,6),(2,7),(3,1),(3,6),(3,7),(4,5),(5,2),(5,3)],8)
[1,2,3,5,8,6,4,7]=>([(0,4),(2,7),(3,7),(4,6),(5,1),(5,3),(6,2),(6,5)],8)
[7,1,2,8,3,6,5,4]=>([(0,7),(1,5),(5,6),(5,7),(6,2),(6,3),(6,4)],8)
[7,1,2,8,6,4,5,3]=>([(0,7),(1,6),(5,4),(6,2),(6,3),(6,5),(6,7)],8)
[3,1,7,8,4,6,5,2]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(6,5),(7,2),(7,3)],8)
[3,1,8,7,6,4,5,2]=>([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8)
[8,1,2,7,4,6,5,3]=>([(1,7),(6,4),(6,5),(7,2),(7,3),(7,6)],8)
[8,1,2,7,3,6,5,4]=>([(1,6),(6,5),(6,7),(7,2),(7,3),(7,4)],8)
[1,2,3,5,8,7,4,6]=>([(0,4),(3,7),(4,5),(5,3),(5,6),(6,1),(6,2),(6,7)],8)
[1,2,3,6,8,5,4,7]=>([(0,5),(2,7),(3,7),(4,1),(4,7),(5,6),(6,2),(6,3),(6,4)],8)
[7,8,5,6,3,1,4,2]=>([(0,7),(1,5),(2,4),(3,6),(3,7)],8)
[7,5,6,3,1,4,2,8]=>([(0,7),(1,6),(2,5),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[7,5,8,3,1,4,2,6]=>([(0,5),(1,6),(2,5),(2,7),(3,4),(3,6),(4,7),(6,7)],8)
[7,8,5,3,1,4,2,6]=>([(0,7),(1,6),(2,4),(3,5),(3,6),(5,7),(6,7)],8)
[7,8,5,3,1,6,2,4]=>([(0,7),(1,6),(1,7),(2,4),(3,5),(3,7),(5,6)],8)
[7,8,5,3,1,6,4,2]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8)
[7,8,5,3,6,1,4,2]=>([(0,6),(1,6),(1,7),(2,5),(3,4),(3,7)],8)
[7,8,5,3,6,4,1,2]=>([(0,7),(1,5),(2,4),(3,6),(3,7)],8)
[7,5,8,3,4,1,6,2]=>([(0,6),(1,6),(1,7),(2,5),(3,4),(3,7),(5,7)],8)
[7,5,6,3,4,1,8,2]=>([(0,7),(1,6),(2,5),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,6,3,1,2,8,4]=>([(0,7),(1,6),(1,7),(2,4),(3,5),(4,7),(5,6),(5,7)],8)
[7,5,3,6,1,2,8,4]=>([(0,7),(1,5),(2,5),(2,6),(3,4),(4,6),(4,7),(5,7)],8)
[7,5,3,1,4,2,6,8]=>([(0,7),(1,5),(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[7,5,3,1,6,4,8,2]=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[7,5,3,6,4,1,8,2]=>([(0,7),(1,6),(2,4),(2,7),(3,5),(3,6),(5,7),(6,7)],8)
[7,5,3,6,4,8,1,2]=>([(0,7),(1,6),(2,4),(3,5),(3,6),(5,7),(6,7)],8)
[7,5,3,8,4,6,1,2]=>([(0,7),(1,6),(1,7),(2,4),(3,5),(3,7),(5,6)],8)
[7,5,3,8,1,4,6,2]=>([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(5,6)],8)
[7,5,3,1,8,4,6,2]=>([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(5,6)],8)
[7,5,3,1,8,2,6,4]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6)],8)
[7,5,3,1,6,4,2,8]=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[7,5,3,1,8,4,2,6]=>([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
[7,5,3,1,8,6,2,4]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8)
[7,5,3,8,1,6,4,2]=>([(0,6),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7)],8)
[7,5,3,8,6,1,4,2]=>([(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6)],8)
[7,5,3,8,6,4,1,2]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8)
[7,5,8,3,6,4,1,2]=>([(0,6),(1,6),(1,7),(2,5),(3,4),(3,7)],8)
[7,5,8,3,6,1,4,2]=>([(0,6),(1,5),(1,6),(2,5),(2,7),(3,4),(3,7)],8)
[7,5,8,3,1,6,4,2]=>([(0,5),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7)],8)
[7,5,3,6,1,4,2,8]=>([(0,7),(1,5),(2,5),(2,6),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[7,5,3,8,4,1,2,6]=>([(0,6),(1,6),(1,7),(2,5),(3,4),(3,6),(4,7),(5,7)],8)
[7,5,8,6,3,1,2,4]=>([(0,7),(1,6),(2,5),(3,4),(3,6),(5,7)],8)
[7,5,8,6,3,1,4,2]=>([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8)
[7,5,8,6,3,4,1,2]=>([(0,7),(1,5),(2,4),(3,6),(3,7)],8)
[7,5,6,8,3,1,4,2]=>([(0,7),(1,6),(2,5),(3,4),(3,6),(5,7)],8)
[7,5,6,3,8,1,2,4]=>([(0,7),(1,6),(1,7),(2,4),(3,5),(4,7),(5,6)],8)
[7,5,3,4,1,8,2,6]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(5,7)],8)
[7,5,6,3,1,8,2,4]=>([(0,7),(1,6),(1,7),(2,4),(3,5),(3,7),(4,7),(5,6)],8)
[7,5,6,3,1,8,4,2]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7),(5,7)],8)
[7,5,6,3,8,1,4,2]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(5,7)],8)
[7,5,6,3,8,4,1,2]=>([(0,7),(1,4),(2,6),(3,5),(3,7),(6,7)],8)
[7,5,3,6,1,8,4,2]=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,5),(3,7),(6,7)],8)
[7,5,3,1,6,8,2,4]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,7),(4,6),(7,5)],8)
[7,5,3,1,2,8,4,6]=>([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(4,6),(4,7),(6,5)],8)
[7,5,3,1,2,8,6,4]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[7,5,3,1,4,8,6,2]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(5,6),(5,7)],8)
[7,5,3,4,8,1,6,2]=>([(0,6),(1,6),(1,7),(2,5),(3,4),(3,7),(5,6),(5,7)],8)
[7,5,3,4,1,6,8,2]=>([(0,7),(1,6),(2,5),(3,4),(3,7),(5,7),(7,6)],8)
[7,5,3,1,4,6,8,2]=>([(0,5),(1,6),(2,7),(3,4),(3,5),(5,7),(7,6)],8)
[3,6,2,5,4,1,8,7]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,2,8,4,7,6,1]=>([(1,3),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(7,4),(7,5)],8)
[5,4,7,3,2,8,6,1]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[5,4,8,3,2,7,6,1]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,4,5,3,2,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[5,3,2,6,4,1,8,7]=>([(0,5),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,8,3,2,7,6,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[4,7,6,3,8,5,2,1]=>([(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[4,8,6,3,7,5,2,1]=>([(2,6),(2,7),(3,4),(3,5),(3,6),(5,7)],8)
[4,8,5,3,2,7,6,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(5,6),(5,7)],8)
[5,8,4,3,2,7,6,1]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,3,2,8,4,7,6,1]=>([(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8)
[2,1,5,8,4,7,6,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(6,3),(6,4),(7,2),(7,3),(7,4)],8)
[5,3,2,7,4,8,6,1]=>([(1,4),(1,7),(2,4),(2,7),(3,5),(3,7),(4,5),(4,6),(7,6)],8)
[5,7,4,3,2,8,6,1]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[4,7,5,3,2,8,6,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[4,7,8,3,6,5,2,1]=>([(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8)
[4,6,8,3,7,5,2,1]=>([(2,6),(2,7),(3,4),(3,6),(4,5),(4,7)],8)
[7,6,4,3,8,5,2,1]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,2,6,8,5,4,1]=>([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,7)],8)
[2,1,8,6,7,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8)
[8,3,2,6,7,5,4,1]=>([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[8,6,4,3,7,5,2,1]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,7,6,4,3,2,1]=>([(5,6),(5,7)],8)
[8,4,5,3,2,7,6,1]=>([(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[8,4,7,3,6,5,2,1]=>([(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,4,6,3,7,5,2,1]=>([(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[7,4,6,3,8,5,2,1]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[3,7,2,6,8,5,4,1]=>([(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(7,4)],8)
[3,8,2,6,7,5,4,1]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[3,8,2,5,4,7,6,1]=>([(1,6),(1,7),(2,3),(2,6),(2,7),(6,4),(6,5),(7,4),(7,5)],8)
[3,7,2,8,6,5,4,1]=>([(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,7)],8)
[3,6,2,8,7,5,4,1]=>([(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7)],8)
[6,4,7,3,8,5,2,1]=>([(2,6),(3,5),(3,7),(4,5),(4,6),(6,7)],8)
[6,4,8,3,7,5,2,1]=>([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7)],8)
[7,4,8,3,6,5,2,1]=>([(2,7),(3,5),(3,6),(4,5),(4,6),(4,7)],8)
[7,4,5,3,2,8,6,1]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[7,5,4,3,2,8,6,1]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,2,5,4,8,6,1]=>([(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,7,5,4,8,6,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(4,7),(5,2),(5,7),(6,2),(6,7)],8)
[7,3,2,8,6,5,4,1]=>([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[7,8,4,3,6,5,2,1]=>([(2,6),(2,7),(3,6),(3,7),(4,5)],8)
[6,8,5,7,4,3,2,1]=>([(4,7),(5,6),(5,7)],8)
[6,8,4,3,7,5,2,1]=>([(2,6),(2,7),(3,6),(3,7),(4,5),(4,7)],8)
[6,3,2,8,7,5,4,1]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[6,3,2,7,8,5,4,1]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[6,7,4,3,8,5,2,1]=>([(2,6),(2,7),(3,6),(3,7),(4,5),(5,7)],8)
[4,6,8,3,5,7,1,2]=>([(0,6),(1,3),(2,4),(2,6),(4,5),(4,7),(6,7)],8)
[6,8,1,2,4,5,7,3]=>([(0,6),(1,4),(1,7),(3,7),(5,3),(6,2),(6,5)],8)
[3,5,8,2,4,7,1,6]=>([(0,7),(1,5),(2,3),(2,5),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
[8,3,5,2,4,1,6,7]=>([(1,7),(2,6),(3,4),(3,6),(4,7),(6,7),(7,5)],8)
[4,2,5,7,3,6,1,8]=>([(0,7),(1,5),(2,3),(2,5),(3,6),(4,7),(5,4),(5,6),(6,7)],8)
[4,5,2,8,3,1,6,7]=>([(0,7),(1,5),(2,3),(2,6),(3,7),(5,6),(5,7),(7,4)],8)
[4,2,5,8,3,7,1,6]=>([(0,7),(1,5),(2,3),(2,5),(3,6),(3,7),(5,4),(5,6),(5,7)],8)
[2,1,6,8,4,7,3,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(5,4),(6,2),(6,3),(7,3),(7,4)],8)
[1,2,5,8,3,6,7,4]=>([(0,6),(4,2),(4,7),(5,1),(5,7),(6,4),(6,5),(7,3)],8)
[5,3,6,8,4,7,1,2]=>([(0,6),(1,3),(2,4),(2,6),(4,7),(6,5),(6,7)],8)
[1,6,5,8,2,4,7,3]=>([(0,3),(0,4),(0,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2)],8)
[3,1,2,6,8,5,7,4]=>([(0,3),(1,5),(1,6),(1,7),(3,5),(3,6),(3,7),(6,4),(7,2),(7,4)],8)
[1,4,3,8,2,6,7,5]=>([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,1)],8)
[5,4,8,3,2,1,6,7]=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[5,4,3,7,2,6,1,8]=>([(0,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[4,3,6,2,7,5,1,8]=>([(0,7),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(5,7),(6,7)],8)
[4,6,3,2,1,8,5,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(6,5)],8)
[4,1,7,3,2,5,8,6]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(6,5),(7,4),(7,5)],8)
[4,3,1,7,8,2,6,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(5,3)],8)
[3,5,1,2,7,8,6,4]=>([(0,4),(1,3),(1,6),(3,5),(3,7),(4,5),(4,6),(4,7),(7,2)],8)
[7,5,1,4,8,2,6,3]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,7,3,8,6,1,2]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(5,6)],8)
[5,8,4,7,6,3,1,2]=>([(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8)
[5,8,7,1,4,2,6,3]=>([(0,5),(0,6),(1,3),(1,4),(1,7),(5,7),(6,2),(6,7)],8)
[8,3,5,1,2,7,6,4]=>([(1,4),(2,3),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,8,3,1,7,2,6,5]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(2,3),(2,5),(2,6),(2,7),(4,6),(4,7)],8)
[1,8,4,3,5,2,7,6]=>([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,3,1,5,2,8,7]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,3,6,5,2,1,8]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,3,7,6,4,2,1,8]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,6,3,4,2,8,7,5]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1)],8)
[1,8,3,6,2,7,5,4]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(3,6),(3,7),(4,1),(4,6),(4,7)],8)
[1,6,8,7,4,2,5,3]=>([(0,4),(0,5),(0,6),(4,7),(5,3),(5,7),(6,1),(6,2)],8)
[6,4,8,7,5,3,1,2]=>([(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8)
[7,6,4,3,8,5,1,2]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5)],8)
[1,7,6,2,8,4,5,3]=>([(0,3),(0,4),(0,6),(3,7),(4,7),(5,2),(6,1),(6,5),(6,7)],8)
[7,1,3,2,6,8,5,4]=>([(0,2),(0,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[1,5,3,2,7,4,8,6]=>([(0,1),(0,2),(0,3),(1,4),(1,7),(2,4),(2,7),(3,5),(3,7),(4,5),(4,6),(7,6)],8)
[6,3,2,1,8,5,4,7]=>([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
[6,5,3,2,7,4,1,8]=>([(0,7),(1,7),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[5,2,6,3,7,4,1,8]=>([(0,7),(1,5),(2,3),(2,5),(3,4),(3,6),(4,7),(5,6),(6,7)],8)
[2,8,5,3,1,6,4,7]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[2,1,7,3,8,5,4,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(6,4),(7,2),(7,3),(7,4)],8)
[1,6,2,3,7,8,5,4]=>([(0,4),(0,5),(4,7),(5,6),(6,1),(6,2),(6,7),(7,3)],8)
[1,6,7,2,8,4,5,3]=>([(0,5),(0,6),(3,7),(4,2),(5,3),(6,1),(6,4),(6,7)],8)
[5,7,1,8,2,4,6,3]=>([(0,4),(0,6),(1,5),(1,7),(3,6),(4,7),(5,2),(5,3)],8)
[5,1,2,7,8,3,6,4]=>([(0,6),(0,7),(1,4),(4,5),(4,7),(5,2),(5,6),(7,3)],8)
[2,4,1,7,8,6,3,5]=>([(0,3),(0,7),(1,5),(1,6),(1,7),(3,4),(3,5),(3,6),(6,2),(7,4)],8)
[4,2,1,7,3,8,5,6]=>([(0,6),(0,7),(1,4),(1,7),(2,4),(2,7),(4,5),(4,6),(6,3),(7,5)],8)
[6,2,8,4,3,1,5,7]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(7,6)],8)
[7,3,2,1,8,4,5,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(6,4)],8)
[7,8,3,2,5,6,1,4]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(6,5)],8)
[7,1,8,2,4,5,6,3]=>([(0,7),(1,6),(1,7),(4,5),(5,3),(6,2),(6,4)],8)
[8,7,6,1,2,4,5,3]=>([(3,4),(4,6),(4,7),(7,5)],8)
[8,3,7,6,2,1,4,5]=>([(1,7),(2,7),(3,4),(3,5),(3,7),(7,6)],8)
[3,2,8,7,5,1,4,6]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3),(7,3)],8)
[8,3,6,5,2,1,4,7]=>([(1,6),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[7,6,3,5,2,4,1,8]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,4,6,2,5,3,1,8]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[8,2,4,1,6,5,3,7]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,2,8,1,7,5,3,6]=>([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(4,5),(7,5)],8)
[8,2,4,1,7,6,3,5]=>([(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(7,4)],8)
[8,7,1,5,6,2,4,3]=>([(2,6),(2,7),(6,5),(7,3),(7,4)],8)
[8,5,7,3,6,4,1,2]=>([(1,6),(2,5),(2,7),(3,4),(3,7)],8)
[6,8,3,7,5,4,1,2]=>([(0,5),(1,6),(1,7),(2,3),(2,4),(2,7)],8)
[8,1,6,7,5,2,4,3]=>([(1,5),(1,6),(1,7),(6,4),(7,2),(7,3)],8)
[8,1,2,6,4,3,7,5]=>([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3),(5,4)],8)
[2,8,1,7,5,4,3,6]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(4,7),(5,7),(6,7)],8)
[2,5,1,8,6,4,3,7]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(4,7),(5,7),(6,7)],8)
[5,7,2,6,4,3,1,8]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[6,2,7,5,4,3,1,8]=>([(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[2,1,8,6,5,4,3,7]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,2,7,5,4,3,8,6]=>([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,3),(5,4)],8)
[1,7,2,4,3,8,6,5]=>([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,7),(4,1),(4,2)],8)
[1,7,2,8,3,6,5,4]=>([(0,4),(0,5),(4,7),(5,6),(5,7),(6,1),(6,2),(6,3)],8)
[1,7,8,6,5,2,4,3]=>([(0,4),(0,5),(0,6),(0,7),(6,3),(7,1),(7,2)],8)
[7,3,8,6,5,4,1,2]=>([(0,7),(1,6),(2,3),(2,4),(2,5),(2,7)],8)
[1,8,7,6,5,2,4,3]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)
[8,1,7,3,2,6,5,4]=>([(1,2),(1,3),(1,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,1,4,3,2,8,7,6]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,6,5,3,2,1,7,4]=>([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,3,2,1,7,4,5]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[8,6,5,4,1,7,2,3]=>([(1,7),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,6,5,1,7,3,2,4]=>([(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
[8,6,1,7,4,3,2,5]=>([(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7)],8)
[4,6,3,2,7,5,1,8]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(3,5),(4,7),(5,6),(7,6)],8)
[1,4,3,7,2,5,8,6]=>([(0,2),(0,3),(0,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(7,1),(7,6)],8)
[7,4,8,3,1,6,2,5]=>([(0,6),(0,7),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(4,7)],8)
[7,1,5,8,3,2,6,4]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7)],8)
[5,7,4,1,8,2,6,3]=>([(0,6),(0,7),(1,3),(1,7),(2,4),(2,6),(3,6),(4,5),(4,7)],8)
[5,7,4,3,1,8,6,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(5,7)],8)
[1,8,7,2,5,4,6,3]=>([(0,4),(0,5),(0,6),(2,7),(3,7),(6,1),(6,2),(6,3)],8)
[1,8,5,3,7,2,6,4]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7)],8)
[4,3,1,8,7,5,2,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(7,4)],8)
[1,4,8,6,3,5,2,7]=>([(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,1),(5,2),(5,6),(6,7)],8)
[7,4,6,3,5,2,1,8]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,3,5,6,8,4,2,7]=>([(0,3),(0,6),(2,7),(3,7),(4,5),(5,1),(5,7),(6,2),(6,4)],8)
[3,5,4,8,7,1,2,6]=>([(0,4),(1,2),(1,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7)],8)
[3,1,4,6,8,7,2,5]=>([(0,7),(1,4),(1,7),(4,6),(5,2),(5,3),(7,5),(7,6)],8)
[1,6,3,8,7,2,5,4]=>([(0,1),(0,2),(0,3),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7)],8)
[1,6,2,4,8,7,5,3]=>([(0,3),(0,5),(3,6),(3,7),(4,2),(4,6),(4,7),(5,1),(5,4)],8)
[8,4,1,6,7,5,3,2]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[7,1,6,4,8,5,2,3]=>([(0,7),(1,4),(1,5),(1,6),(4,7),(5,3),(6,2),(6,7)],8)
[7,3,6,8,5,1,2,4]=>([(0,6),(1,5),(2,3),(2,4),(2,7),(4,6),(5,7)],8)
[1,3,7,2,6,8,4,5]=>([(0,3),(0,4),(2,6),(3,5),(3,7),(4,2),(4,5),(4,7),(5,6),(7,1)],8)
[3,6,5,2,8,1,4,7]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[3,6,5,7,2,4,1,8]=>([(0,7),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,7),(6,7)],8)
[4,2,6,3,8,1,5,7]=>([(0,7),(1,4),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(7,5)],8)
[4,2,6,7,3,5,1,8]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(3,6),(4,7),(5,4),(6,7)],8)
[3,6,2,4,7,5,1,8]=>([(0,7),(1,5),(2,3),(2,5),(3,6),(4,7),(5,4),(5,6),(6,7)],8)
[3,6,2,4,1,8,5,7]=>([(0,5),(0,7),(1,4),(2,3),(2,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
[7,3,8,2,1,6,4,5]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(3,6),(3,7),(7,4)],8)
[7,3,5,2,1,8,6,4]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7)],8)
[8,7,6,4,3,1,5,2]=>([(3,7),(4,7),(5,6),(5,7)],8)
[8,7,6,4,1,5,2,3]=>([(3,7),(4,5),(4,7),(5,6)],8)
[3,8,7,2,1,4,6,5]=>([(0,7),(1,7),(2,3),(2,4),(2,7),(7,5),(7,6)],8)
[3,8,2,7,1,5,4,6]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(6,5),(7,5)],8)
[3,6,8,2,1,5,4,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,8,1,6,5,3,7]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,2),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[4,2,8,1,5,7,3,6]=>([(0,4),(0,7),(1,5),(1,7),(2,4),(2,5),(2,7),(5,6),(7,3),(7,6)],8)
[8,5,7,6,1,4,2,3]=>([(1,4),(1,5),(2,6),(2,7),(7,3)],8)
[8,6,1,7,3,5,4,2]=>([(1,7),(2,5),(2,6),(2,7),(6,3),(6,4)],8)
[8,6,1,7,5,4,2,3]=>([(1,7),(2,4),(2,5),(2,6),(2,7),(6,3)],8)
[1,6,2,8,7,3,5,4]=>([(0,3),(0,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,1),(5,2)],8)
[1,8,2,4,6,7,3,5]=>([(0,3),(0,6),(2,7),(4,1),(5,4),(5,7),(6,2),(6,5)],8)
[2,8,5,4,7,1,3,6]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
[2,1,5,8,6,4,3,7]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,2),(6,3)],8)
[7,2,5,6,4,3,1,8]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[1,2,5,7,8,4,3,6]=>([(0,6),(2,7),(3,7),(4,1),(5,4),(5,7),(6,2),(6,3),(6,5)],8)
[1,2,7,4,8,6,3,5]=>([(0,5),(2,7),(3,6),(4,1),(4,6),(4,7),(5,2),(5,3),(5,4)],8)
[1,2,7,8,3,6,5,4]=>([(0,6),(5,4),(6,5),(6,7),(7,1),(7,2),(7,3)],8)
[7,1,8,6,3,5,4,2]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3)],8)
[1,8,7,6,3,5,2,4]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,7)],8)
[1,8,7,4,6,3,2,5]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,1),(6,7)],8)
[7,1,5,8,3,4,6,2]=>([(0,7),(1,2),(1,4),(1,5),(3,6),(4,6),(4,7),(5,3)],8)
[7,1,6,4,2,3,5,8]=>([(0,7),(1,2),(1,4),(1,5),(2,7),(3,6),(4,6),(5,3),(6,7)],8)
[8,6,2,4,7,3,5,1]=>([(2,6),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[8,6,2,4,5,7,3,1]=>([(2,7),(3,4),(3,5),(5,6),(6,7)],8)
[2,7,1,4,5,8,3,6]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(3,4),(3,5),(6,3),(7,4)],8)
[7,1,6,4,5,2,3,8]=>([(0,7),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,3),(6,2)],8)
[7,1,4,5,6,8,2,3]=>([(0,7),(1,5),(1,6),(3,7),(4,3),(5,4),(6,2)],8)
[7,1,4,6,5,8,3,2]=>([(0,7),(1,2),(1,3),(1,6),(4,7),(5,7),(6,4),(6,5)],8)
[7,1,2,3,8,5,4,6]=>([(0,7),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3),(5,7)],8)
[7,1,5,4,3,8,2,6]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,3,4,2,6,8,5]=>([(0,7),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(6,7)],8)
[7,1,5,4,6,2,8,3]=>([(0,7),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,7),(6,7)],8)
[7,1,5,6,4,3,8,2]=>([(0,7),(1,2),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,3)],8)
[7,1,6,5,4,3,2,8]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,6,2,5,4,3,7,1]=>([(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[2,5,1,7,4,3,6,8]=>([(0,2),(0,4),(0,5),(1,4),(1,5),(1,6),(2,6),(2,7),(4,7),(5,7),(6,3),(7,3)],8)
[2,5,1,4,7,8,6,3]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(3,4),(3,5),(5,2),(7,4),(7,5)],8)
[3,5,1,4,8,6,2,7]=>([(0,3),(0,7),(1,2),(1,7),(2,5),(3,4),(3,6),(6,5),(7,4),(7,6)],8)
[3,6,2,4,7,8,1,5]=>([(0,6),(1,5),(2,3),(2,5),(3,7),(5,6),(5,7),(7,4)],8)
[5,6,2,4,8,7,1,3]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[6,3,8,2,4,7,1,5]=>([(0,7),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6),(5,7)],8)
[6,5,8,7,2,3,1,4]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(4,7)],8)
[6,5,7,8,2,4,1,3]=>([(0,7),(1,7),(2,6),(3,5),(3,6),(7,4)],8)
[6,3,4,2,8,5,1,7]=>([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(4,5),(4,7),(5,6)],8)
[3,4,7,2,5,8,1,6]=>([(0,7),(1,5),(2,3),(3,4),(3,7),(4,6),(7,5),(7,6)],8)
[4,6,8,1,3,5,2,7]=>([(0,5),(0,6),(1,3),(1,4),(3,7),(4,6),(5,2),(5,7),(6,7)],8)
[4,3,8,1,2,7,5,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,6),(4,7),(7,3)],8)
[3,6,4,1,7,2,5,8]=>([(0,4),(0,7),(1,2),(1,3),(2,7),(3,5),(3,7),(4,5),(5,6),(7,6)],8)
[2,8,3,1,5,6,4,7]=>([(0,6),(0,7),(1,2),(1,3),(3,6),(3,7),(4,5),(6,5),(7,4)],8)
[3,8,7,1,5,4,2,6]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(4,7),(5,7),(6,7)],8)
[4,3,1,7,6,8,2,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,7),(5,4),(6,4)],8)
[3,4,1,7,5,6,8,2]=>([(0,4),(1,3),(1,6),(1,7),(2,5),(4,6),(4,7),(6,5),(7,2)],8)
[3,4,1,5,7,6,2,8]=>([(0,5),(1,4),(1,6),(2,7),(3,7),(4,7),(5,6),(6,2),(6,3)],8)
[3,7,4,1,6,2,8,5]=>([(0,4),(0,6),(1,2),(1,3),(2,7),(3,5),(3,6),(4,5),(4,7),(6,7)],8)
[8,4,7,2,5,3,6,1]=>([(2,4),(2,6),(3,5),(3,6),(5,7),(6,7)],8)
[4,7,8,1,2,3,6,5]=>([(0,4),(1,5),(1,6),(1,7),(3,6),(3,7),(4,3),(5,2)],8)
[2,8,6,1,5,3,7,4]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(4,7),(5,7),(6,2),(6,7)],8)
[7,6,5,1,3,8,2,4]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(4,6),(5,6),(5,7)],8)
[7,6,5,1,3,4,8,2]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(5,6),(6,7)],8)
[7,2,6,4,1,3,8,5]=>([(0,7),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,5,2,1,3,8,4]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(6,5),(6,7)],8)
[8,4,5,3,7,2,6,1]=>([(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[4,7,5,2,8,1,6,3]=>([(0,5),(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(3,7),(4,6),(4,7)],8)
[2,6,4,3,1,5,7,8]=>([(0,7),(1,2),(1,3),(1,4),(2,7),(3,7),(4,6),(6,5),(7,6)],8)
[7,3,8,4,1,5,2,6]=>([(0,5),(1,4),(1,5),(2,3),(2,6),(3,7),(4,6),(6,7)],8)
[7,2,3,4,1,6,5,8]=>([(0,7),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6),(5,7),(6,7)],8)
[4,2,8,3,6,1,5,7]=>([(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(6,5),(7,5)],8)
[6,8,5,7,2,1,3,4]=>([(0,7),(1,7),(2,6),(3,5),(3,6),(7,4)],8)
[4,8,5,2,7,1,3,6]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6),(4,7),(5,7)],8)
[6,3,5,2,1,7,4,8]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,7),(6,5),(7,5)],8)
[6,8,5,3,1,4,2,7]=>([(0,7),(1,6),(2,4),(2,7),(3,5),(3,6),(5,7),(6,7)],8)
[3,6,5,4,2,8,1,7]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,4,7,2,5,3,8]=>([(0,2),(0,3),(0,4),(1,7),(2,5),(3,5),(3,6),(4,1),(4,6),(5,7),(6,7)],8)
[1,6,4,8,2,5,3,7]=>([(0,2),(0,3),(0,4),(1,7),(2,5),(2,7),(3,5),(3,6),(4,1),(4,6),(6,7)],8)
[1,6,5,8,2,4,3,7]=>([(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2)],8)
[1,6,8,2,4,3,7,5]=>([(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,1),(4,7),(5,2),(5,3)],8)
[1,6,2,4,3,7,8,5]=>([(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,7),(5,2),(5,3),(7,1)],8)
[1,5,6,2,4,7,3,8]=>([(0,4),(0,5),(1,7),(2,6),(3,6),(4,3),(5,1),(5,2),(6,7)],8)
[1,5,6,2,4,7,8,3]=>([(0,5),(0,6),(2,7),(3,7),(5,3),(6,1),(6,2),(7,4)],8)
[1,5,8,2,4,7,3,6]=>([(0,4),(0,5),(2,7),(3,6),(3,7),(4,1),(4,6),(4,7),(5,2),(5,3)],8)
[1,5,7,2,4,8,3,6]=>([(0,4),(0,5),(1,7),(2,6),(3,6),(3,7),(4,2),(4,7),(5,1),(5,3)],8)
[1,6,5,7,2,4,3,8]=>([(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(6,7)],8)
[1,6,7,2,4,3,8,5]=>([(0,4),(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,1),(5,2),(5,3)],8)
[1,5,6,7,2,4,8,3]=>([(0,5),(0,6),(2,7),(3,7),(4,3),(5,4),(6,1),(6,2)],8)
[1,5,8,2,4,6,7,3]=>([(0,5),(0,6),(3,7),(5,2),(5,7),(6,1),(6,3),(7,4)],8)
[1,5,7,2,4,6,8,3]=>([(0,4),(0,5),(2,7),(3,6),(4,2),(4,6),(5,1),(5,3),(6,7)],8)
[1,5,7,8,3,2,4,6]=>([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(5,4),(5,7),(6,7)],8)
[1,5,8,3,2,4,6,7]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,2),(5,7),(6,7),(7,1)],8)
[1,5,6,2,4,8,3,7]=>([(0,4),(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,3),(5,1),(5,2)],8)
[1,7,6,2,8,3,4,5]=>([(0,2),(0,3),(0,6),(2,7),(3,7),(4,5),(5,1),(6,4),(6,7)],8)
[1,7,3,4,2,8,6,5]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,7),(3,5),(3,6),(3,7),(4,1)],8)
[1,6,2,4,3,8,7,5]=>([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,1),(4,2)],8)
[1,5,6,2,4,8,7,3]=>([(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,3),(5,1),(5,2)],8)
[1,5,8,7,3,2,4,6]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,7),(6,7)],8)
[1,4,2,3,5,8,7,6]=>([(0,5),(0,6),(1,7),(5,7),(6,1),(7,2),(7,3),(7,4)],8)
[1,5,2,3,4,8,7,6]=>([(0,2),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,1),(4,3)],8)
[1,6,5,2,3,8,7,4]=>([(0,2),(0,3),(0,5),(2,6),(2,7),(3,6),(3,7),(4,1),(4,6),(4,7),(5,4)],8)
[1,7,4,2,8,6,5,3]=>([(0,2),(0,3),(0,4),(2,7),(3,5),(3,6),(3,7),(4,1),(4,5),(4,6),(4,7)],8)
[1,7,6,5,2,8,4,3]=>([(0,3),(0,4),(0,5),(0,6),(3,7),(4,7),(5,7),(6,1),(6,2),(6,7)],8)
[1,6,7,5,2,3,8,4]=>([(0,3),(0,5),(0,6),(2,7),(3,7),(4,1),(4,7),(5,2),(6,4)],8)
[1,7,5,2,8,4,3,6]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,7)],8)
[1,7,5,6,2,8,3,4]=>([(0,3),(0,5),(0,6),(2,7),(3,7),(4,1),(5,2),(6,4),(6,7)],8)
[1,5,7,6,2,4,8,3]=>([(0,5),(0,6),(2,7),(3,7),(4,7),(5,2),(5,3),(6,1),(6,4)],8)
[1,5,8,3,2,4,7,6]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,5,2,3,7,4,8]=>([(0,2),(0,3),(0,5),(1,6),(2,7),(3,7),(4,1),(4,7),(5,4),(7,6)],8)
[1,6,5,2,3,7,8,4]=>([(0,3),(0,4),(0,6),(3,7),(4,7),(5,1),(5,7),(6,5),(7,2)],8)
[1,6,8,4,2,3,7,5]=>([(0,3),(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,2),(5,1),(5,7)],8)
[1,7,4,6,2,8,3,5]=>([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,2),(4,7),(5,1),(5,6)],8)
[1,7,3,5,2,8,4,6]=>([(0,2),(0,3),(0,4),(1,6),(1,7),(2,7),(3,5),(3,7),(4,1),(4,5),(5,6)],8)
[1,6,8,5,2,3,7,4]=>([(0,3),(0,5),(0,6),(3,7),(4,2),(4,7),(5,4),(6,1),(6,7)],8)
[1,6,4,2,3,7,8,5]=>([(0,3),(0,4),(0,5),(2,6),(2,7),(3,7),(4,6),(4,7),(5,2),(7,1)],8)
[1,6,4,2,3,7,5,8]=>([(0,2),(0,3),(0,4),(1,5),(1,7),(2,7),(3,5),(3,7),(4,1),(5,6),(7,6)],8)
[1,5,8,6,2,4,7,3]=>([(0,5),(0,6),(3,7),(4,7),(5,2),(5,3),(6,1),(6,4)],8)
[1,5,7,3,2,4,8,6]=>([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,7),(5,6),(5,7)],8)
[1,7,3,4,2,8,5,6]=>([(0,3),(0,4),(0,5),(1,6),(1,7),(3,7),(4,6),(4,7),(5,1),(6,2)],8)
[1,7,4,2,8,5,3,6]=>([(0,2),(0,3),(0,4),(1,6),(2,7),(3,5),(3,7),(4,1),(4,5),(4,7),(5,6)],8)
[1,6,7,4,2,3,8,5]=>([(0,3),(0,4),(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,1),(5,2)],8)
[1,6,4,2,3,8,5,7]=>([(0,2),(0,3),(0,4),(1,5),(1,7),(2,6),(2,7),(3,5),(3,7),(4,1),(5,6)],8)
[1,7,6,4,2,8,5,3]=>([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(4,7),(5,1),(5,6),(5,7)],8)
[1,7,5,2,8,6,4,3]=>([(0,3),(0,4),(0,5),(3,7),(4,6),(4,7),(5,1),(5,2),(5,6),(5,7)],8)
[1,6,4,2,3,8,7,5]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1)],8)
[7,3,5,6,1,4,8,2]=>([(0,7),(1,3),(1,6),(2,4),(2,6),(4,5),(5,7),(6,7)],8)
[3,7,5,6,1,4,8,2]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,7),(3,7),(5,2),(6,7)],8)
[8,2,4,1,6,7,5,3]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(7,3)],8)
[8,6,1,4,2,7,5,3]=>([(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,6,1,4,2,8,5,7]=>([(0,2),(0,6),(1,3),(1,6),(2,5),(2,7),(3,4),(3,7),(5,4),(6,5),(6,7)],8)
[1,6,7,4,3,5,8,2]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(3,6),(4,6),(5,1),(6,7)],8)
[6,7,1,4,3,5,8,2]=>([(0,5),(1,2),(1,3),(1,4),(3,6),(4,6),(5,7),(6,7)],8)
[7,6,1,4,3,5,8,2]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(4,6),(5,6),(6,7)],8)
[3,5,4,1,6,7,8,2]=>([(0,5),(0,7),(1,3),(1,4),(3,7),(4,7),(6,2),(7,6)],8)
[4,7,1,6,3,5,8,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(3,5),(4,7),(5,7),(6,7)],8)
[3,1,4,7,6,5,8,2]=>([(0,6),(1,2),(1,6),(3,7),(4,7),(5,7),(6,3),(6,4),(6,5)],8)
[6,1,7,4,3,5,8,2]=>([(0,7),(1,2),(1,3),(1,4),(1,7),(3,5),(4,5),(5,6),(7,6)],8)
[7,1,6,4,3,5,8,2]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(3,7),(4,6),(5,6),(6,7)],8)
[1,7,6,4,3,5,8,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[8,1,6,4,2,7,5,3]=>([(1,3),(1,4),(1,5),(3,7),(4,6),(4,7),(5,2),(5,6),(5,7)],8)
[8,4,1,3,7,2,5,6]=>([(1,6),(1,7),(2,3),(2,5),(3,7),(5,6),(5,7),(7,4)],8)
[4,7,1,3,8,2,5,6]=>([(0,5),(0,7),(1,2),(1,4),(2,7),(4,6),(4,7),(5,6),(7,3)],8)
[7,4,1,3,8,2,5,6]=>([(0,6),(1,6),(1,7),(2,3),(2,5),(3,7),(5,6),(5,7),(7,4)],8)
[1,3,6,4,2,8,5,7]=>([(0,3),(0,4),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,1),(4,2),(5,6)],8)
[4,7,3,1,2,8,5,6]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(3,7),(4,6),(4,7),(6,5)],8)
[4,7,8,1,2,6,5,3]=>([(0,5),(1,4),(1,6),(1,7),(4,3),(5,2),(5,6),(5,7)],8)
[6,8,1,4,2,7,5,3]=>([(0,4),(0,7),(1,3),(1,5),(3,6),(3,7),(5,2),(5,6),(5,7)],8)
[1,8,6,4,2,7,5,3]=>([(0,2),(0,3),(0,4),(0,5),(3,7),(4,6),(4,7),(5,1),(5,6),(5,7)],8)
[4,8,1,3,7,2,5,6]=>([(0,5),(0,6),(0,7),(1,2),(1,4),(2,7),(4,6),(4,7),(7,3)],8)
[8,7,1,3,6,2,5,4]=>([(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,8,5,7,3,2,1,4]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6)],8)
[1,8,4,3,7,2,5,6]=>([(0,2),(0,3),(0,4),(0,5),(3,7),(4,6),(4,7),(5,6),(5,7),(7,1)],8)
[2,8,3,4,7,6,1,5]=>([(0,7),(1,4),(1,5),(5,6),(6,2),(6,3),(6,7)],8)
[3,7,8,4,6,2,1,5]=>([(0,7),(1,7),(2,5),(2,6),(5,4),(6,3),(6,7)],8)
[3,7,4,6,8,2,1,5]=>([(0,7),(1,7),(2,3),(2,4),(3,5),(3,7),(4,6),(5,6)],8)
[2,4,3,7,8,6,1,5]=>([(0,7),(1,3),(1,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,2)],8)
[1,4,7,3,8,2,5,6]=>([(0,3),(0,4),(0,5),(2,6),(3,7),(4,6),(4,7),(5,2),(5,7),(7,1)],8)
[5,7,6,8,3,2,1,4]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(4,6),(5,6)],8)
[2,5,3,4,8,6,1,7]=>([(0,7),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(6,7)],8)
[3,7,5,4,8,2,1,6]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,3,4,2,8,5,6]=>([(0,7),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(5,2),(6,4)],8)
[6,1,4,3,8,2,5,7]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(2,6),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[4,1,7,3,8,2,5,6]=>([(0,6),(0,7),(1,2),(1,4),(1,6),(2,7),(4,5),(4,7),(6,5),(7,3)],8)
[8,1,4,3,7,2,5,6]=>([(1,2),(1,4),(1,5),(2,7),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[8,2,3,4,7,6,1,5]=>([(1,7),(2,5),(5,6),(6,3),(6,4),(6,7)],8)
[4,2,3,7,8,6,1,5]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(6,3)],8)
[5,2,3,4,8,6,1,7]=>([(0,7),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6),(6,7)],8)
[2,7,5,6,3,8,1,4]=>([(0,6),(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(4,7),(5,2)],8)
[5,7,2,6,3,8,1,4]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(3,7),(4,6),(4,7),(5,7)],8)
[5,7,2,6,8,4,1,3]=>([(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(4,7),(6,7)],8)
[7,2,5,6,8,4,1,3]=>([(0,6),(1,7),(2,3),(2,4),(2,6),(4,5),(5,7)],8)
[4,2,3,8,5,6,1,7]=>([(0,5),(1,6),(1,7),(2,4),(3,5),(4,6),(4,7),(7,3)],8)
[5,2,3,8,7,6,1,4]=>([(0,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7)],8)
[8,2,3,7,5,6,1,4]=>([(1,7),(2,6),(5,4),(6,3),(6,5),(6,7)],8)
[6,1,8,3,7,2,5,4]=>([(0,2),(0,3),(0,7),(1,4),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6)],8)
[1,7,8,4,2,6,5,3]=>([(0,3),(0,4),(0,5),(3,6),(3,7),(4,2),(5,1),(5,6),(5,7)],8)
[4,7,1,8,2,5,6,3]=>([(0,4),(0,7),(1,5),(1,6),(4,6),(5,3),(5,7),(7,2)],8)
[3,7,4,8,5,2,1,6]=>([(0,7),(1,7),(2,3),(2,4),(3,6),(4,5),(4,6),(5,7)],8)
[2,4,3,8,5,6,1,7]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(3,7),(4,5),(4,7),(7,2)],8)
[1,4,8,3,6,2,5,7]=>([(0,2),(0,3),(0,4),(2,7),(3,5),(3,7),(4,1),(4,5),(4,7),(5,6),(7,6)],8)
[7,5,8,6,3,2,1,4]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6)],8)
[6,5,8,7,3,2,1,4]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[8,5,7,6,3,2,1,4]=>([(1,7),(2,7),(3,7),(4,5),(4,6)],8)
[2,5,3,8,7,6,1,4]=>([(0,2),(0,3),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[3,7,5,8,6,2,1,4]=>([(0,7),(1,7),(2,3),(2,4),(2,7),(3,6),(4,5),(4,6)],8)
[3,7,8,6,5,2,1,4]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3)],8)
[1,8,7,3,6,2,5,4]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(4,7),(5,1),(5,6),(5,7)],8)
[6,8,7,5,3,2,1,4]=>([(1,7),(2,7),(3,7),(4,5),(4,6)],8)
[5,7,6,8,3,4,1,2]=>([(0,6),(1,5),(2,3),(2,4),(3,7),(4,7)],8)
[3,7,6,8,4,5,1,2]=>([(0,5),(1,3),(1,4),(1,6),(3,7),(4,7),(6,2)],8)
[1,5,4,7,6,8,2,3]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(5,7),(6,7)],8)
[1,7,4,6,5,8,2,3]=>([(0,4),(0,5),(0,6),(2,7),(3,7),(4,7),(5,1),(6,2),(6,3)],8)
[3,7,4,6,5,8,1,2]=>([(0,5),(1,4),(1,6),(2,7),(3,7),(4,7),(6,2),(6,3)],8)
[3,5,4,8,6,7,1,2]=>([(0,5),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(7,2)],8)
[3,8,4,6,5,7,1,2]=>([(0,5),(1,2),(1,6),(3,7),(4,7),(6,3),(6,4)],8)
[3,6,4,7,5,8,1,2]=>([(0,4),(1,3),(1,5),(2,7),(3,6),(5,2),(5,6),(6,7)],8)
[1,6,2,7,5,8,3,4]=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,4),(5,6),(6,7)],8)
[1,6,4,8,5,7,2,3]=>([(0,3),(0,4),(0,5),(2,7),(3,6),(3,7),(4,1),(5,2),(5,6)],8)
[1,8,4,6,5,7,2,3]=>([(0,4),(0,5),(0,6),(2,7),(3,7),(5,1),(6,2),(6,3)],8)
[1,5,4,8,6,7,2,3]=>([(0,3),(0,4),(0,5),(3,6),(3,7),(4,6),(4,7),(5,2),(7,1)],8)
[7,8,1,5,4,6,2,3]=>([(0,5),(1,3),(1,4),(1,6),(3,7),(4,7),(6,2)],8)
[7,8,1,5,2,4,3,6]=>([(0,5),(1,4),(1,6),(2,7),(3,7),(4,7),(6,2),(6,3)],8)
[1,8,2,6,5,7,3,4]=>([(0,4),(0,6),(2,7),(3,7),(5,1),(6,2),(6,3),(6,5)],8)
[1,7,2,8,5,6,3,4]=>([(0,3),(0,6),(3,7),(4,2),(5,1),(6,4),(6,5),(6,7)],8)
[1,7,2,6,5,8,3,4]=>([(0,4),(0,6),(2,7),(3,7),(4,7),(5,1),(6,2),(6,3),(6,5)],8)
[1,5,2,7,6,8,3,4]=>([(0,2),(0,4),(2,5),(2,6),(3,1),(4,3),(4,5),(4,6),(5,7),(6,7)],8)
[1,7,6,8,2,5,3,4]=>([(0,3),(0,4),(0,6),(3,7),(4,7),(5,2),(6,1),(6,5)],8)
[1,7,6,8,4,5,2,3]=>([(0,3),(0,4),(0,5),(0,6),(3,7),(4,7),(5,2),(6,1)],8)
[5,7,6,8,1,4,2,3]=>([(0,4),(0,5),(1,3),(1,6),(4,7),(5,7),(6,2)],8)
[7,8,5,6,1,3,2,4]=>([(0,6),(1,5),(2,3),(2,4),(3,7),(4,7)],8)
[5,8,6,7,1,3,2,4]=>([(0,4),(0,5),(1,3),(1,6),(4,7),(5,7),(6,2)],8)
[1,3,2,7,6,8,4,5]=>([(0,2),(0,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(5,1),(6,4),(7,4)],8)
[1,7,6,8,2,4,3,5]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2)],8)
[7,8,1,3,2,6,4,5]=>([(0,5),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(7,2)],8)
[7,8,1,6,2,4,3,5]=>([(0,5),(1,2),(1,6),(3,7),(4,7),(6,3),(6,4)],8)
[1,8,6,7,2,4,3,5]=>([(0,4),(0,5),(0,6),(2,7),(3,7),(5,1),(6,2),(6,3)],8)
[7,8,1,4,2,6,3,5]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(3,7),(5,2),(5,7)],8)
[7,8,1,4,2,5,3,6]=>([(0,4),(1,3),(1,5),(2,7),(3,6),(5,2),(5,6),(6,7)],8)
[7,8,2,1,4,3,6,5]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(6,4),(6,5),(7,4),(7,5)],8)
[7,8,1,2,4,3,5,6]=>([(0,5),(1,6),(2,7),(3,7),(6,2),(6,3),(7,4)],8)
[4,3,6,5,8,7,1,2]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(6,4),(6,5),(7,4),(7,5)],8)
[3,4,6,5,7,8,1,2]=>([(0,5),(1,6),(2,7),(3,7),(6,2),(6,3),(7,4)],8)
[1,6,2,3,8,7,4,5]=>([(0,2),(0,5),(2,6),(2,7),(3,1),(4,3),(4,6),(4,7),(5,4)],8)
[1,7,4,3,2,8,6,5]=>([(0,1),(0,2),(0,3),(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,4,7,6,2,5,8,3]=>([(0,4),(0,5),(2,7),(3,7),(4,1),(4,6),(5,2),(5,3),(5,6),(6,7)],8)
[1,2,6,5,3,7,4,8]=>([(0,5),(1,7),(2,7),(3,6),(4,3),(4,7),(5,1),(5,2),(5,4),(7,6)],8)
[1,2,6,5,3,7,8,4]=>([(0,6),(2,7),(3,7),(5,1),(5,7),(6,2),(6,3),(6,5),(7,4)],8)
[1,3,7,5,2,6,8,4]=>([(0,3),(0,4),(1,7),(2,5),(3,5),(3,6),(4,1),(4,2),(4,6),(5,7)],8)
[1,3,7,4,2,6,8,5]=>([(0,3),(0,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(6,7)],8)
[1,2,6,4,3,7,8,5]=>([(0,5),(1,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,3),(5,4),(7,2)],8)
[1,2,6,4,3,7,5,8]=>([(0,4),(1,7),(2,5),(2,7),(3,5),(3,7),(4,1),(4,2),(4,3),(5,6),(7,6)],8)
[1,4,7,3,2,5,8,6]=>([(0,3),(0,4),(0,5),(2,6),(3,7),(4,7),(5,2),(5,7),(7,1),(7,6)],8)
[1,4,3,2,5,8,6,7]=>([(0,3),(0,4),(0,5),(3,7),(4,7),(5,7),(6,1),(7,2),(7,6)],8)
[1,5,3,2,4,8,6,7]=>([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7),(7,1)],8)
[1,7,5,3,2,8,6,4]=>([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,5,3,2,4,8,7,6]=>([(0,1),(0,2),(0,3),(1,7),(2,7),(3,4),(3,5),(3,6),(7,4),(7,5),(7,6)],8)
[7,6,5,4,3,1,8,2]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7)],8)
[6,8,5,4,3,2,1,7]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7)],8)
[7,1,5,4,3,8,6,2]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,5,4,8,1,7,2]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7)],8)
[6,8,1,4,3,2,7,5]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7)],8)
[2,8,5,4,3,7,1,6]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,1,4,3,8,5,2]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,5,8,3,1,7,2]=>([(0,7),(1,3),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,5,1,3,2,7,4]=>([(0,7),(1,3),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,2,4,3,7,6,5]=>([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(4,1),(4,2)],8)
[3,8,5,4,7,2,1,6]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,5,1,3,8,4,2]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(5,6),(5,7)],8)
[1,6,3,4,8,7,5,2]=>([(0,2),(0,3),(0,5),(3,6),(3,7),(4,1),(4,6),(4,7),(5,4)],8)
[1,4,5,8,3,7,6,2]=>([(0,2),(0,3),(0,5),(3,6),(3,7),(4,1),(4,6),(4,7),(5,4)],8)
[6,8,5,4,1,2,7,3]=>([(0,7),(1,7),(2,5),(3,4),(3,7),(5,6),(5,7)],8)
[1,8,5,2,3,7,6,4]=>([(0,2),(0,3),(0,5),(3,6),(3,7),(4,1),(4,6),(4,7),(5,4)],8)
[6,8,2,4,3,7,1,5]=>([(0,6),(1,3),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,3,4,7,2,6,5]=>([(0,2),(0,3),(0,5),(3,6),(3,7),(4,1),(4,6),(4,7),(5,4)],8)
[7,5,8,4,3,2,1,6]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(5,7)],8)
[4,8,5,7,3,2,1,6]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(5,6),(5,7)],8)
[5,1,7,6,8,4,3,2]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(6,5),(7,5)],8)
[8,4,7,5,2,6,1,3]=>([(1,6),(2,6),(2,7),(3,4),(3,5),(5,7)],8)
[5,4,6,8,2,1,7,3]=>([(0,6),(1,6),(2,5),(2,7),(3,5),(3,7),(6,4),(6,7)],8)
[8,4,6,5,2,1,7,3]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)
[4,8,7,5,6,1,3,2]=>([(0,5),(0,6),(1,3),(1,4),(1,7),(7,2)],8)
[2,7,5,1,8,4,3,6]=>([(0,4),(0,5),(0,7),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(5,6)],8)
[5,1,8,7,4,2,3,6]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,2)],8)
[2,8,6,7,4,3,5,1]=>([(1,3),(1,4),(1,5),(1,6),(4,7),(5,7),(6,2)],8)
[3,6,5,2,4,1,8,7]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,3,6,4,1,8,7]=>([(0,6),(0,7),(1,5),(2,3),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,4,5,3,2,8,7]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[3,8,7,1,4,6,5,2]=>([(0,6),(0,7),(1,2),(1,3),(1,7),(7,4),(7,5)],8)
[5,7,1,2,4,3,8,6]=>([(0,4),(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(5,2),(5,3)],8)
[4,3,7,6,8,2,5,1]=>([(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
[5,3,6,8,1,7,2,4]=>([(0,6),(1,6),(1,7),(2,4),(2,5),(4,7),(6,3),(6,5)],8)
[3,2,6,8,5,7,1,4]=>([(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(4,5),(6,3),(6,5)],8)
[6,3,7,2,4,8,5,1]=>([(1,7),(2,5),(3,5),(3,7),(5,6),(7,4),(7,6)],8)
[7,4,8,6,5,2,1,3]=>([(0,6),(1,6),(2,7),(3,4),(3,5),(3,7)],8)
[7,1,8,2,5,4,3,6]=>([(0,6),(1,5),(1,6),(2,7),(3,7),(4,7),(5,2),(5,3),(5,4)],8)
[2,5,3,7,4,1,8,6]=>([(0,6),(0,7),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(4,2),(4,5),(5,7)],8)
[3,6,4,7,5,1,8,2]=>([(0,4),(0,7),(1,3),(1,5),(2,7),(3,6),(5,2),(5,6),(6,7)],8)
[8,4,7,6,2,3,1,5]=>([(1,7),(2,6),(3,4),(3,5),(3,7),(6,7)],8)
[8,4,7,1,2,5,6,3]=>([(1,6),(2,5),(2,7),(6,3),(6,7),(7,4)],8)
[4,2,8,7,3,5,6,1]=>([(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,7),(7,4)],8)
[8,1,7,4,2,5,6,3]=>([(1,3),(1,4),(1,6),(4,7),(6,2),(6,7),(7,5)],8)
[7,4,3,8,2,5,6,1]=>([(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[6,4,1,5,8,2,7,3]=>([(0,6),(0,7),(1,5),(2,3),(2,5),(3,4),(3,7),(5,6),(5,7)],8)
[2,5,8,7,3,6,1,4]=>([(0,7),(1,4),(1,5),(4,6),(4,7),(5,2),(5,3),(5,6)],8)
[2,1,5,8,7,4,6,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(6,4),(7,2),(7,3),(7,4)],8)
[8,3,5,6,7,4,1,2]=>([(1,5),(2,4),(2,7),(6,3),(7,6)],8)
[7,4,3,2,8,5,6,1]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[4,2,7,1,8,5,6,3]=>([(0,5),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(5,6),(7,3)],8)
[4,1,7,2,8,5,6,3]=>([(0,6),(0,7),(1,4),(1,6),(4,3),(4,5),(4,7),(6,5),(7,2)],8)
[2,4,8,7,3,5,6,1]=>([(1,4),(1,6),(4,7),(6,2),(6,3),(6,7),(7,5)],8)
[4,7,8,3,1,5,6,2]=>([(0,7),(1,5),(1,7),(2,6),(2,7),(6,3),(7,4)],8)
[3,4,7,2,8,5,6,1]=>([(1,6),(1,7),(2,4),(4,5),(4,7),(5,6),(7,3)],8)
[3,7,1,4,8,5,6,2]=>([(0,3),(0,7),(1,4),(1,7),(4,6),(5,2),(7,5),(7,6)],8)
[7,2,3,4,8,5,6,1]=>([(1,7),(2,5),(4,3),(5,6),(6,4),(6,7)],8)
[6,1,8,5,2,7,4,3]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(4,7),(5,2),(5,3),(5,7)],8)
[2,1,7,4,5,8,6,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(3,2),(3,4),(6,3),(7,4)],8)
[2,1,8,3,6,7,5,4]=>([(0,6),(0,7),(1,6),(1,7),(5,4),(7,2),(7,3),(7,5)],8)
[8,2,1,6,4,7,5,3]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,4),(7,3),(7,4)],8)
[7,8,2,6,4,1,5,3]=>([(0,6),(0,7),(1,4),(2,3),(2,5),(2,6),(5,7)],8)
[2,6,3,5,8,7,1,4]=>([(0,7),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,7)],8)
[7,6,2,1,5,8,4,3]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,7)],8)
[4,5,2,7,6,1,8,3]=>([(0,4),(0,7),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6),(5,7),(6,7)],8)
[5,1,6,8,4,7,2,3]=>([(0,7),(1,4),(1,5),(1,7),(4,6),(5,3),(7,2),(7,6)],8)
[3,6,8,7,5,2,1,4]=>([(0,7),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4)],8)
[7,4,8,6,5,2,3,1]=>([(1,7),(2,6),(3,4),(3,5),(3,7)],8)
[8,1,6,4,7,3,2,5]=>([(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(5,6),(5,7)],8)
[7,6,4,1,2,3,8,5]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)
[2,6,4,8,5,3,7,1]=>([(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(4,7),(5,2),(5,6)],8)
[7,3,5,8,4,2,1,6]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[3,2,5,8,4,1,7,6]=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(4,6),(4,7),(5,3),(5,6),(5,7)],8)
[8,4,7,1,5,2,3,6]=>([(1,3),(1,6),(2,4),(2,6),(4,5),(5,7),(6,7)],8)
[4,8,7,5,6,1,2,3]=>([(0,7),(1,4),(1,5),(1,6),(6,3),(7,2)],8)
[6,1,4,8,7,3,5,2]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(3,5),(4,5),(4,6),(4,7)],8)
[7,2,8,4,3,5,6,1]=>([(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(7,5)],8)
[4,7,8,1,3,5,6,2]=>([(0,6),(0,7),(1,3),(1,4),(4,7),(6,2),(7,5)],8)
[8,7,3,4,1,5,6,2]=>([(2,5),(3,4),(3,7),(5,7),(7,6)],8)
[4,8,2,7,3,5,6,1]=>([(1,4),(1,6),(2,3),(2,6),(2,7),(4,7),(7,5)],8)
[3,1,8,7,2,5,6,4]=>([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(3,4),(3,5),(5,2)],8)
[3,8,1,7,2,5,6,4]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(1,7),(4,5),(4,7),(7,2)],8)
[8,2,3,7,1,5,6,4]=>([(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)
[6,4,8,7,1,3,2,5]=>([(0,5),(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(3,7),(4,7)],8)
[2,8,4,6,7,3,1,5]=>([(0,7),(1,3),(1,4),(1,6),(4,7),(5,2),(6,5),(6,7)],8)
[4,3,8,2,7,6,1,5]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[6,8,4,2,1,3,7,5]=>([(0,6),(0,7),(1,5),(2,5),(3,4),(3,7),(5,6),(5,7)],8)
[7,8,2,4,3,5,6,1]=>([(1,3),(2,4),(2,5),(4,7),(5,7),(7,6)],8)
[2,8,3,7,1,5,6,4]=>([(0,6),(0,7),(1,4),(1,5),(5,3),(5,6),(5,7),(7,2)],8)
[8,1,2,7,3,5,6,4]=>([(1,7),(5,4),(6,3),(6,5),(7,2),(7,6)],8)
[6,4,1,3,2,8,5,7]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[5,3,8,6,2,1,4,7]=>([(0,7),(1,7),(2,4),(2,5),(3,4),(3,5),(3,7),(5,6),(7,6)],8)
[4,6,5,2,8,3,1,7]=>([(0,7),(1,3),(1,6),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,7,5,1,8,2,6]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,7),(3,6),(4,7),(5,6),(5,7)],8)
[6,8,5,2,7,4,3,1]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8)
[7,2,5,4,3,8,1,6]=>([(0,7),(1,6),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,8,1,4,5,2,7]=>([(0,4),(0,6),(1,5),(1,6),(3,7),(4,7),(5,2),(5,7),(6,3)],8)
[6,8,1,2,4,5,3,7]=>([(0,6),(1,4),(1,7),(2,7),(3,7),(5,3),(6,2),(6,5)],8)
[8,1,6,2,4,5,3,7]=>([(1,4),(1,6),(2,7),(3,7),(4,7),(5,3),(6,2),(6,5)],8)
[3,8,6,1,2,5,4,7]=>([(0,4),(1,2),(1,3),(1,5),(1,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,8,1,6,2,3,4,7]=>([(0,5),(0,7),(1,3),(1,7),(2,6),(4,2),(5,4),(7,6)],8)
[4,1,6,5,8,2,3,7]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,7),(3,2),(5,4),(5,7),(6,4),(6,7)],8)
[4,3,8,6,2,5,1,7]=>([(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[8,3,6,1,4,5,2,7]=>([(1,4),(1,6),(2,3),(2,6),(3,7),(4,7),(5,7),(6,5)],8)
[2,3,6,8,4,5,1,7]=>([(0,7),(1,6),(3,7),(4,3),(5,2),(5,7),(6,4),(6,5)],8)
[2,7,5,4,3,8,1,6]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,8,7,4,2,5,1]=>([(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7)],8)
[5,8,4,3,7,6,1,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8)
[8,7,4,3,1,6,2,5]=>([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[1,7,4,3,8,6,2,5]=>([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,1,5,3,4,8,2,6]=>([(0,7),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(4,6),(4,7),(5,2)],8)
[2,8,6,1,7,4,5,3]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(4,5),(7,2)],8)
[4,8,6,5,7,2,1,3]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(4,7),(5,7)],8)
[4,7,6,8,2,1,5,3]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(4,6)],8)
[6,1,8,7,4,3,5,2]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(3,5),(4,5)],8)
[8,5,4,3,1,6,7,2]=>([(1,7),(2,7),(3,7),(4,5),(4,7),(7,6)],8)
[1,5,8,6,3,4,7,2]=>([(0,4),(0,5),(0,6),(2,7),(3,7),(5,3),(6,1),(6,2)],8)
[2,5,8,6,3,4,7,1]=>([(1,5),(1,6),(3,7),(4,7),(5,4),(6,2),(6,3)],8)
[4,1,3,8,5,6,7,2]=>([(0,6),(0,7),(1,3),(1,4),(4,6),(4,7),(5,2),(7,5)],8)
[6,5,8,4,3,1,7,2]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7)],8)
[4,6,5,2,8,1,7,3]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7)],8)
[7,2,8,1,3,6,4,5]=>([(0,7),(1,6),(2,6),(2,7),(4,5),(7,3),(7,4)],8)
[1,8,5,2,3,6,7,4]=>([(0,3),(0,4),(0,6),(4,7),(5,1),(5,7),(6,5),(7,2)],8)
[1,8,3,2,5,6,7,4]=>([(0,2),(0,3),(0,4),(3,6),(3,7),(4,6),(4,7),(5,1),(7,5)],8)
[2,8,3,1,5,6,7,4]=>([(0,6),(0,7),(1,3),(1,4),(4,6),(4,7),(5,2),(7,5)],8)
[4,8,3,2,5,6,7,1]=>([(1,7),(2,7),(3,4),(3,7),(5,6),(7,5)],8)
[8,2,3,1,5,6,7,4]=>([(1,6),(1,7),(2,4),(3,5),(4,6),(4,7),(7,3)],8)
[2,1,8,3,5,6,7,4]=>([(0,6),(0,7),(1,6),(1,7),(4,5),(5,3),(7,2),(7,4)],8)
[1,4,8,2,3,6,7,5]=>([(0,4),(0,5),(3,6),(3,7),(4,3),(5,1),(5,6),(5,7),(7,2)],8)
[3,1,2,7,8,6,4,5]=>([(0,5),(0,6),(0,7),(1,2),(2,5),(2,6),(2,7),(6,4),(7,3)],8)
[7,5,1,8,2,4,3,6]=>([(0,6),(1,6),(1,7),(2,3),(2,6),(3,4),(3,5),(4,7),(5,7)],8)
[3,5,8,1,2,4,7,6]=>([(0,3),(1,4),(1,7),(3,7),(4,2),(4,5),(4,6),(7,5),(7,6)],8)
[4,5,8,1,2,3,7,6]=>([(0,5),(1,4),(3,6),(3,7),(4,3),(5,2),(5,6),(5,7)],8)
[4,2,7,1,8,6,3,5]=>([(0,4),(0,6),(0,7),(1,3),(1,5),(1,7),(2,5),(2,6),(2,7),(5,4),(6,3)],8)
[3,8,4,1,2,6,7,5]=>([(0,5),(1,3),(1,4),(4,6),(4,7),(5,6),(5,7),(7,2)],8)
[5,4,8,2,3,6,7,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(4,7),(7,5)],8)
[5,8,3,6,7,4,1,2]=>([(0,6),(1,5),(1,7),(2,4),(2,7),(7,3)],8)
[2,3,1,6,8,4,7,5]=>([(0,6),(0,7),(1,2),(2,6),(2,7),(6,4),(6,5),(7,3),(7,5)],8)
[2,4,3,7,1,8,5,6]=>([(0,6),(0,7),(1,3),(1,4),(3,5),(3,7),(4,5),(4,7),(5,6),(7,2)],8)
[1,4,7,3,2,8,5,6]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,2),(5,7),(7,1)],8)
[2,7,1,4,3,8,5,6]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,7),(4,2),(5,4),(5,7),(6,4),(6,7)],8)
[2,4,1,8,6,3,7,5]=>([(0,2),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(6,3),(7,3),(7,4)],8)
[8,4,1,3,6,2,7,5]=>([(1,5),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
[6,8,5,1,7,2,3,4]=>([(0,7),(1,6),(1,7),(2,4),(2,7),(5,3),(6,5)],8)
[7,3,6,5,8,2,1,4]=>([(0,7),(1,6),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[7,6,3,5,8,2,1,4]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(4,6),(5,7)],8)
[4,5,8,7,3,6,1,2]=>([(0,7),(1,5),(2,6),(6,3),(6,4),(6,7)],8)
[3,5,2,8,6,1,7,4]=>([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,7),(3,5),(3,6),(6,4)],8)
[8,2,5,6,1,4,7,3]=>([(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,7),(6,7)],8)
[8,6,5,4,1,2,7,3]=>([(1,7),(2,7),(3,7),(4,5),(5,6),(5,7)],8)
[2,6,1,8,3,7,5,4]=>([(0,6),(0,7),(1,4),(1,7),(4,5),(4,6),(7,2),(7,3),(7,5)],8)
[4,7,1,6,2,8,5,3]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(3,7),(4,2),(4,5),(4,7),(6,7)],8)
[6,1,5,3,8,7,2,4]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7)],8)
[2,8,6,3,7,1,5,4]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(3,5),(4,5),(4,6),(4,7)],8)
[7,6,1,5,8,2,3,4]=>([(0,7),(1,7),(2,4),(2,6),(4,7),(5,3),(6,5)],8)
[3,6,8,5,1,2,7,4]=>([(0,4),(1,3),(1,5),(1,6),(3,7),(4,6),(4,7),(5,2),(5,7)],8)
[6,5,2,4,8,1,7,3]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(4,6),(4,7)],8)
[5,1,4,8,2,6,7,3]=>([(0,6),(0,7),(1,4),(1,5),(4,6),(4,7),(5,2),(5,7),(7,3)],8)
[4,8,2,5,1,6,7,3]=>([(0,5),(0,7),(1,5),(1,6),(2,4),(2,6),(6,7),(7,3)],8)
[3,4,8,5,2,6,7,1]=>([(1,7),(2,6),(4,7),(6,3),(6,4),(7,5)],8)
[4,2,1,8,5,6,7,3]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(7,3)],8)
[1,5,4,8,2,6,7,3]=>([(0,3),(0,4),(0,5),(3,6),(3,7),(4,6),(4,7),(5,1),(5,7),(7,2)],8)
[7,2,1,5,8,6,3,4]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(6,3),(7,4),(7,5)],8)
[2,8,4,5,1,6,7,3]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(3,7),(5,3),(7,2)],8)
[5,4,8,3,7,6,1,2]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4)],8)
[3,1,5,8,6,2,7,4]=>([(0,6),(0,7),(1,4),(1,7),(3,5),(4,5),(4,6),(7,2),(7,3)],8)
[6,3,4,8,5,1,7,2]=>([(0,6),(0,7),(1,4),(2,3),(2,7),(4,5),(4,6),(5,7)],8)
[5,3,4,8,1,6,7,2]=>([(0,6),(0,7),(1,5),(2,3),(2,7),(5,6),(5,7),(7,4)],8)
[7,6,1,2,8,3,5,4]=>([(0,7),(1,7),(2,5),(5,6),(5,7),(6,3),(6,4)],8)
[7,5,8,4,1,2,6,3]=>([(0,7),(1,6),(2,6),(2,7),(3,4),(4,5),(4,7)],8)
[7,5,8,4,6,1,3,2]=>([(0,7),(1,6),(2,6),(2,7),(3,4),(3,5)],8)
[6,5,4,8,7,1,3,2]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5)],8)
[6,5,4,8,1,2,7,3]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(4,7)],8)
[7,5,1,6,2,3,8,4]=>([(0,7),(1,6),(2,3),(2,6),(3,5),(5,4),(5,7),(6,7)],8)
[7,5,1,6,8,2,4,3]=>([(0,7),(1,6),(2,3),(2,6),(3,4),(3,5),(6,7)],8)
[6,5,4,1,8,2,7,3]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7)],8)
[6,5,4,7,1,2,8,3]=>([(0,7),(1,7),(2,7),(3,4),(4,5),(4,6),(7,6)],8)
[6,5,4,7,8,1,3,2]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(7,6)],8)
[6,5,3,7,1,4,2,8]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[6,5,3,1,8,4,2,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[7,5,1,4,8,3,2,6]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(5,7)],8)
[8,1,6,4,7,3,5,2]=>([(1,2),(1,3),(1,4),(1,5),(3,7),(4,6),(5,6),(5,7)],8)
[7,5,1,4,8,3,6,2]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(4,7),(5,6),(5,7)],8)
[6,5,3,7,1,4,8,2]=>([(0,7),(1,7),(2,5),(2,7),(3,4),(3,5),(5,6),(7,6)],8)
[6,4,3,1,5,8,7,2]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(3,7),(7,5),(7,6)],8)
[7,4,1,5,3,8,6,2]=>([(0,7),(1,5),(2,3),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,5,4,3,7,6,2]=>([(1,2),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,5,4,3,7,2,6]=>([(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,1,5,3,8,2,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,1,5,3,2,6,8]=>([(0,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(7,6)],8)
[8,1,5,4,3,2,6,7]=>([(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,7),(5,7),(7,6)],8)
[8,1,6,4,2,5,3,7]=>([(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(5,2),(5,6),(6,7)],8)
[6,5,3,1,2,7,4,8]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5),(7,5)],8)
[6,5,3,8,1,4,2,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(4,7),(5,7)],8)
[7,6,8,1,4,3,2,5]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7)],8)
[8,1,7,2,5,4,3,6]=>([(1,2),(1,6),(3,7),(4,7),(5,7),(6,3),(6,4),(6,5)],8)
[8,1,7,2,5,4,6,3]=>([(1,3),(1,6),(4,7),(5,7),(6,2),(6,4),(6,5)],8)
[7,6,1,2,5,4,8,3]=>([(0,7),(1,7),(2,6),(4,7),(5,7),(6,3),(6,4),(6,5)],8)
[6,5,3,8,1,4,7,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(5,7)],8)
[6,5,3,1,2,7,8,4]=>([(0,7),(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)
[7,5,1,4,2,6,8,3]=>([(0,7),(1,6),(2,3),(2,4),(3,7),(4,5),(4,7),(7,6)],8)
[8,1,6,4,2,5,7,3]=>([(1,3),(1,4),(1,5),(3,7),(4,6),(5,2),(5,6),(6,7)],8)
[7,4,1,5,3,2,8,6]=>([(0,7),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,3,1,5,2,8,7]=>([(0,5),(1,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,3,1,5,7,2,8]=>([(0,7),(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(7,5)],8)
[7,4,1,5,3,6,2,8]=>([(0,7),(1,5),(2,3),(2,4),(2,5),(3,6),(4,7),(5,6),(6,7)],8)
[8,1,5,4,3,6,2,7]=>([(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,7),(5,6),(7,6)],8)
[8,1,5,4,3,6,7,2]=>([(1,2),(1,3),(1,4),(1,5),(3,7),(4,7),(5,7),(7,6)],8)
[7,4,1,5,3,6,8,2]=>([(0,5),(1,6),(2,3),(2,4),(2,5),(4,7),(5,7),(7,6)],8)
[6,4,3,1,5,7,8,2]=>([(0,7),(1,7),(2,6),(3,4),(3,7),(6,5),(7,6)],8)
[6,7,3,8,4,5,1,2]=>([(0,4),(1,5),(2,6),(2,7),(5,7),(6,3)],8)
[6,7,4,5,1,8,2,3]=>([(0,5),(1,4),(2,6),(2,7),(4,7),(5,7),(6,3)],8)
[4,7,5,6,2,3,1,8]=>([(0,7),(1,5),(2,4),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[4,7,5,6,1,8,2,3]=>([(0,6),(0,7),(1,4),(1,5),(3,7),(4,7),(5,3),(6,2)],8)
[4,7,5,6,3,8,1,2]=>([(0,7),(1,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)
[3,7,5,8,4,6,1,2]=>([(0,5),(1,2),(1,3),(1,4),(2,7),(3,6),(4,6),(4,7)],8)
[4,5,3,8,6,7,1,2]=>([(0,6),(0,7),(1,3),(2,5),(5,6),(5,7),(7,4)],8)
[4,8,3,6,5,7,1,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6),(5,7),(6,7)],8)
[5,6,4,7,1,8,2,3]=>([(0,7),(1,3),(2,4),(2,6),(3,7),(4,5),(7,6)],8)
[5,6,1,7,3,8,2,4]=>([(0,4),(1,2),(1,3),(1,6),(2,5),(3,5),(3,7),(4,6),(6,7)],8)
[5,6,1,8,2,7,3,4]=>([(0,5),(0,7),(1,3),(3,6),(3,7),(4,2),(5,4),(5,6)],8)
[5,6,1,8,4,7,2,3]=>([(0,4),(1,3),(1,5),(1,7),(3,6),(4,6),(4,7),(5,2)],8)
[4,8,1,6,5,7,2,3]=>([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(4,2),(6,5),(7,5)],8)
[4,5,1,8,6,7,2,3]=>([(0,4),(1,5),(1,6),(1,7),(4,6),(4,7),(5,3),(7,2)],8)
[7,8,4,5,1,6,2,3]=>([(0,4),(1,5),(2,6),(2,7),(5,7),(6,3)],8)
[4,8,2,3,1,6,5,7]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(2,7),(4,6),(4,7),(6,5),(7,5)],8)
[5,6,2,8,1,4,3,7]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(3,6),(3,7),(4,7),(5,7)],8)
[5,6,3,4,1,8,2,7]=>([(0,5),(1,4),(2,3),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,4,5,2,7,1,8]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,7),(5,7),(7,6)],8)
[3,6,4,5,1,8,2,7]=>([(0,4),(0,7),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(5,2)],8)
[2,6,4,8,1,5,3,7]=>([(0,2),(0,3),(0,6),(1,4),(1,6),(2,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,3,6,1,5,4,7]=>([(0,5),(0,6),(1,2),(1,4),(3,7),(4,3),(4,5),(4,6),(5,7),(6,7)],8)
[2,8,3,4,1,6,5,7]=>([(0,6),(0,7),(1,2),(1,4),(3,6),(3,7),(4,3),(6,5),(7,5)],8)
[7,8,2,5,3,4,1,6]=>([(0,7),(1,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)
[7,8,1,5,3,6,2,4]=>([(0,5),(1,2),(1,3),(1,4),(2,7),(3,6),(4,6),(4,7)],8)
[1,5,3,8,6,7,2,4]=>([(0,2),(0,3),(0,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,1)],8)
[1,8,3,6,2,7,4,5]=>([(0,3),(0,4),(0,5),(2,6),(4,6),(4,7),(5,2),(5,7),(7,1)],8)
[1,6,4,8,2,7,3,5]=>([(0,2),(0,3),(0,4),(1,6),(2,5),(2,7),(3,5),(3,6),(3,7),(4,1),(4,7)],8)
[2,6,4,7,3,5,1,8]=>([(0,7),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
[2,7,3,6,4,5,1,8]=>([(0,7),(1,4),(1,6),(2,7),(3,7),(4,7),(5,3),(6,2),(6,5)],8)
[1,7,3,6,4,8,2,5]=>([(0,3),(0,4),(0,5),(1,7),(2,6),(2,7),(3,7),(4,6),(5,1),(5,2)],8)
[1,7,2,8,4,6,3,5]=>([(0,3),(0,5),(2,7),(3,6),(4,1),(4,7),(5,2),(5,4),(5,6)],8)
[1,7,5,8,4,6,2,3]=>([(0,2),(0,3),(0,4),(0,5),(2,7),(3,6),(4,6),(4,7),(5,1)],8)
[1,7,5,8,2,6,3,4]=>([(0,2),(0,3),(0,5),(2,6),(3,6),(3,7),(4,1),(5,4),(5,7)],8)
[1,7,5,6,3,8,2,4]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(4,7),(5,1)],8)
[2,7,5,6,3,4,1,8]=>([(0,7),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,3),(6,2)],8)
[6,7,2,5,3,4,1,8]=>([(0,7),(1,5),(2,4),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[6,7,1,5,3,8,2,4]=>([(0,5),(1,2),(1,3),(1,4),(2,7),(3,6),(4,6),(4,7),(5,7)],8)
[6,7,5,8,1,4,2,3]=>([(0,7),(1,5),(2,4),(2,6),(5,7),(6,3)],8)
[5,8,6,7,2,3,1,4]=>([(0,7),(1,5),(2,4),(2,6),(5,7),(6,3)],8)
[6,7,2,3,1,8,4,5]=>([(0,6),(0,7),(1,3),(2,4),(3,7),(4,6),(4,7),(6,5)],8)
[6,7,2,8,1,4,3,5]=>([(0,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(6,4),(7,4)],8)
[3,4,2,7,5,6,1,8]=>([(0,7),(1,5),(1,6),(2,4),(3,7),(4,5),(4,6),(5,7),(6,3)],8)
[3,4,1,7,5,8,2,6]=>([(0,3),(1,2),(1,6),(1,7),(2,5),(3,6),(3,7),(6,4),(7,4),(7,5)],8)
[2,7,5,8,1,4,3,6]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,1,7,5,8,4,6]=>([(0,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(5,4),(6,3),(7,3),(7,4)],8)
[2,3,1,8,4,7,5,6]=>([(0,6),(0,7),(1,4),(4,6),(4,7),(5,3),(7,2),(7,5)],8)
[7,8,2,3,1,6,4,5]=>([(0,6),(0,7),(1,3),(2,5),(5,6),(5,7),(7,4)],8)
[7,8,2,6,1,4,3,5]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6),(5,7),(6,7)],8)
[2,8,6,7,1,4,3,5]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(4,2),(6,5),(7,5)],8)
[2,8,1,4,3,7,5,6]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(5,2),(6,4),(6,5),(7,4),(7,5)],8)
[3,7,2,5,4,6,1,8]=>([(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(5,6),(6,7)],8)
[4,5,2,7,3,6,1,8]=>([(0,7),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,5,1,8,2,7,3,6]=>([(0,3),(1,4),(1,7),(2,5),(3,5),(3,6),(3,7),(4,2),(4,6)],8)
[3,4,1,8,2,7,5,6]=>([(0,4),(1,3),(1,6),(3,5),(3,7),(4,5),(4,6),(4,7),(7,2)],8)
[3,4,1,8,6,7,2,5]=>([(0,4),(1,3),(1,6),(1,7),(3,5),(4,5),(4,6),(4,7),(7,2)],8)
[3,4,2,5,1,8,6,7]=>([(0,7),(1,5),(1,6),(2,4),(4,7),(6,3),(7,5),(7,6)],8)
[3,4,2,8,1,6,5,7]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[3,8,2,5,1,6,4,7]=>([(0,4),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(4,6),(6,5),(7,5)],8)
[4,5,2,8,1,6,3,7]=>([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(3,6),(3,7),(4,5),(7,5)],8)
[4,5,3,6,1,8,2,7]=>([(0,6),(1,4),(2,3),(2,5),(3,7),(4,6),(6,5),(6,7)],8)
[7,1,5,8,4,6,2,3]=>([(0,7),(1,3),(1,4),(1,5),(3,6),(4,6),(4,7),(5,2)],8)
[8,6,7,1,4,2,5,3]=>([(1,4),(2,5),(2,6),(5,7),(6,3),(6,7)],8)
[8,6,3,7,5,1,2,4]=>([(1,6),(2,5),(3,4),(3,6),(3,7),(5,7)],8)
[8,6,1,7,3,2,5,4]=>([(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[7,6,1,8,3,5,2,4]=>([(0,7),(1,7),(2,3),(2,4),(2,7),(3,6),(4,5),(4,6)],8)
[7,6,1,3,8,5,2,4]=>([(0,7),(1,7),(2,3),(2,4),(3,6),(4,5),(4,6),(4,7)],8)
[7,6,8,2,4,5,1,3]=>([(0,6),(1,6),(2,7),(3,4),(3,7),(4,5)],8)
[7,6,2,8,3,5,1,4]=>([(0,7),(1,7),(2,6),(3,4),(3,7),(4,5),(4,6)],8)
[7,6,2,3,8,5,1,4]=>([(0,7),(1,7),(2,6),(3,4),(4,5),(4,6),(4,7)],8)
[8,7,1,5,2,6,3,4]=>([(2,4),(2,6),(4,7),(5,3),(6,5),(6,7)],8)
[8,7,1,5,2,3,6,4]=>([(2,4),(2,5),(4,7),(5,6),(6,3),(6,7)],8)
[8,5,2,3,1,7,6,4]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[8,6,2,3,7,1,5,4]=>([(1,7),(2,5),(2,6),(3,4),(4,5),(4,6),(4,7)],8)
[8,6,2,7,3,1,5,4]=>([(1,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7)],8)
[8,6,7,2,4,1,5,3]=>([(1,6),(1,7),(2,4),(3,5),(3,6),(5,7)],8)
[6,8,7,3,4,1,5,2]=>([(0,6),(1,5),(1,7),(2,3),(2,4),(6,7)],8)
[8,7,2,5,1,6,3,4]=>([(2,6),(2,7),(3,4),(3,6),(4,7),(6,5)],8)
[8,7,2,1,4,6,3,5]=>([(2,5),(2,7),(3,5),(3,7),(5,6),(7,4),(7,6)],8)
[8,4,2,1,7,6,3,5]=>([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8)
[8,5,2,7,1,6,3,4]=>([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(6,4)],8)
[8,5,7,2,1,4,3,6]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,7,3,1,4,2,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(5,7),(6,7)],8)
[5,8,7,3,1,4,6,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(6,7)],8)
[8,5,7,2,1,4,6,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(6,7)],8)
[8,5,2,7,1,3,6,4]=>([(1,7),(2,5),(2,7),(3,5),(3,6),(7,4),(7,6)],8)
[8,4,2,1,3,7,6,5]=>([(1,4),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,7,4,1,2,3,6,5]=>([(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)
[8,7,4,1,2,6,3,5]=>([(2,6),(2,7),(3,4),(4,5),(4,7),(5,6)],8)
[8,4,3,1,7,2,6,5]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7)],8)
[8,4,3,1,2,7,6,5]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[8,6,1,3,7,2,5,4]=>([(1,5),(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,5,1,3,2,7,6,4]=>([(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,5,7,4,1,6,2,3]=>([(1,7),(2,4),(2,7),(3,5),(3,7),(5,6)],8)
[8,5,7,4,1,2,6,3]=>([(1,7),(2,5),(3,4),(3,7),(5,6),(5,7)],8)
[8,1,5,4,2,7,6,3]=>([(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,6),(5,7)],8)
[8,1,6,4,7,2,5,3]=>([(1,3),(1,4),(1,5),(3,6),(4,6),(4,7),(5,2),(5,7)],8)
[6,1,5,8,4,2,7,3]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(3,7),(4,6),(4,7),(5,2),(5,7)],8)
[5,8,3,6,4,1,2,7]=>([(0,5),(1,4),(1,6),(2,3),(2,6),(4,7),(5,7),(6,7)],8)
[5,2,8,6,4,1,3,7]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(5,7),(6,7)],8)
[8,4,7,5,1,6,2,3]=>([(1,6),(1,7),(2,4),(2,5),(5,7),(6,3)],8)
[8,4,7,5,1,2,6,3]=>([(1,6),(2,4),(2,5),(5,7),(6,3),(6,7)],8)
[8,4,7,5,1,2,3,6]=>([(1,6),(2,3),(2,5),(4,7),(5,7),(6,4)],8)
[8,7,3,5,1,2,6,4]=>([(2,5),(3,4),(3,6),(4,7),(5,6),(5,7)],8)
[8,3,2,6,5,1,4,7]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,8,6,3,5,1,2,7]=>([(0,6),(1,5),(2,3),(2,4),(2,6),(4,7),(5,7),(6,7)],8)
[4,8,7,3,1,5,2,6]=>([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(5,6),(7,6)],8)
[8,4,7,2,1,5,3,6]=>([(1,5),(1,7),(2,5),(2,7),(3,4),(3,7),(5,6),(7,6)],8)
[8,3,2,7,1,5,4,6]=>([(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(6,5),(7,5)],8)
[8,3,2,1,7,6,4,5]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[8,7,3,1,4,2,6,5]=>([(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,3,1,6,2,4,5]=>([(2,6),(2,7),(3,4),(3,6),(4,7),(7,5)],8)
[8,7,3,1,2,6,4,5]=>([(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)
[8,7,3,1,2,4,6,5]=>([(2,7),(3,4),(4,7),(7,5),(7,6)],8)
[8,3,2,1,4,7,6,5]=>([(1,7),(2,7),(3,7),(7,4),(7,5),(7,6)],8)
[8,3,2,1,7,4,6,5]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(7,4),(7,5)],8)
[8,3,2,7,1,5,6,4]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[8,4,7,2,1,5,6,3]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(7,5)],8)
[3,8,7,4,1,2,5,6]=>([(0,6),(1,2),(1,3),(1,4),(4,7),(6,7),(7,5)],8)
[8,7,2,1,6,3,4,5]=>([(2,6),(2,7),(3,6),(3,7),(4,5),(7,4)],8)
[8,7,2,1,3,6,4,5]=>([(2,7),(3,7),(5,6),(7,4),(7,5)],8)
[8,7,2,1,3,4,6,5]=>([(2,7),(3,7),(4,5),(4,6),(7,4)],8)
[3,6,5,4,1,2,8,7]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,5,6,7,4,1,2]=>([(0,5),(1,3),(1,4),(1,7),(6,2),(7,6)],8)
[4,7,5,8,6,2,1,3]=>([(0,6),(1,6),(2,3),(2,4),(3,7),(4,5),(4,7)],8)
[2,5,7,8,6,3,4,1]=>([(1,6),(1,7),(5,4),(6,2),(7,3),(7,5)],8)
[4,8,5,7,6,3,1,2]=>([(1,6),(2,5),(2,7),(7,3),(7,4)],8)
[4,6,3,2,1,5,8,7]=>([(0,7),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(7,5),(7,6)],8)
[6,2,1,5,3,4,8,7]=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,3)],8)
[5,8,1,3,7,6,4,2]=>([(0,4),(0,6),(0,7),(1,3),(1,5),(5,2),(5,6),(5,7)],8)
[4,7,2,3,6,1,8,5]=>([(0,6),(0,7),(1,4),(2,3),(2,5),(2,6),(3,7),(4,5),(4,6),(5,7)],8)
[3,7,4,2,8,1,5,6]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(3,7),(4,6),(4,7),(6,5)],8)
[4,2,6,8,5,7,3,1]=>([(1,5),(1,7),(2,4),(2,5),(2,7),(5,6),(7,3),(7,6)],8)
[6,4,2,7,3,8,5,1]=>([(1,7),(2,5),(2,7),(3,4),(3,7),(4,5),(4,6),(7,6)],8)
[8,1,6,7,5,3,4,2]=>([(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8)
[2,1,5,8,7,6,3,4]=>([(0,6),(0,7),(1,6),(1,7),(6,5),(7,2),(7,3),(7,4)],8)
[2,1,4,7,6,3,8,5]=>([(0,5),(0,6),(1,5),(1,6),(2,7),(3,7),(5,4),(5,7),(6,2),(6,3),(6,4)],8)
[6,4,7,8,5,3,2,1]=>([(3,7),(4,5),(4,7),(7,6)],8)
[4,1,3,7,6,2,8,5]=>([(0,4),(0,5),(0,7),(1,2),(1,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
[8,5,1,6,3,2,7,4]=>([(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[6,3,7,1,5,2,8,4]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6),(3,7),(4,7),(5,7)],8)
[3,2,6,8,4,7,5,1]=>([(1,6),(1,7),(2,6),(2,7),(6,4),(6,5),(7,3),(7,5)],8)
[8,4,6,1,3,2,5,7]=>([(1,5),(1,7),(2,3),(2,4),(3,7),(4,7),(5,6),(7,6)],8)
[4,2,8,6,7,3,1,5]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(4,7),(6,3)],8)
[7,4,3,8,2,1,5,6]=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[4,7,5,8,1,6,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,7),(4,6),(5,6),(5,7)],8)
[6,4,3,2,7,8,1,5]=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[4,2,5,1,6,7,8,3]=>([(0,6),(1,5),(1,7),(2,5),(2,6),(3,4),(6,7),(7,3)],8)
[2,4,8,5,7,1,3,6]=>([(0,7),(1,5),(1,7),(4,3),(4,6),(5,2),(5,4),(7,6)],8)
[3,7,1,4,6,8,5,2]=>([(0,5),(0,7),(1,4),(1,7),(3,6),(5,6),(7,2),(7,3)],8)
[7,8,2,5,6,1,4,3]=>([(0,6),(0,7),(1,3),(2,4),(2,6),(2,7),(4,5)],8)
[2,4,3,8,7,5,6,1]=>([(1,3),(1,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,2)],8)
[2,6,7,3,5,1,8,4]=>([(0,6),(0,7),(1,4),(1,5),(2,7),(3,7),(4,3),(5,2),(5,6)],8)
[7,6,8,4,2,5,3,1]=>([(1,6),(2,6),(3,7),(4,5),(4,7)],8)
[8,5,7,1,6,3,2,4]=>([(1,3),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[6,5,7,2,8,4,3,1]=>([(1,6),(2,6),(3,4),(3,5),(3,7),(6,7)],8)
[3,4,8,6,5,2,1,7]=>([(0,7),(1,7),(2,6),(4,7),(5,7),(6,3),(6,4),(6,5)],8)
[2,7,6,1,4,5,8,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(6,2)],8)
[6,5,8,2,1,7,3,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(6,4)],8)
[7,4,3,5,1,6,8,2]=>([(0,5),(1,5),(2,6),(3,4),(3,7),(5,7),(7,6)],8)
[4,1,6,3,5,8,7,2]=>([(0,2),(0,3),(0,7),(1,6),(1,7),(3,6),(6,4),(6,5),(7,4),(7,5)],8)
[6,2,5,8,4,3,7,1]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(5,7)],8)
[8,6,7,1,5,4,3,2]=>([(1,7),(2,3),(2,4),(2,5),(2,6)],8)
[2,1,6,5,8,4,7,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(4,7),(5,2),(5,7),(6,2),(6,7)],8)
[2,1,6,8,5,4,3,7]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,2),(6,7)],8)
[4,1,8,5,6,2,3,7]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,5),(3,5),(4,3),(7,2)],8)
[2,6,4,8,7,3,5,1]=>([(1,2),(1,3),(1,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,2,8,4,3,5,1,7]=>([(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(3,6),(4,6),(6,7)],8)
[4,8,2,7,6,1,3,5]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(7,4)],8)
[3,1,8,2,7,5,4,6]=>([(0,2),(0,5),(1,4),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(6,3),(7,3)],8)
[3,8,1,2,6,7,4,5]=>([(0,5),(1,4),(1,6),(1,7),(5,6),(5,7),(6,3),(7,2)],8)
[5,8,4,3,2,7,1,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,4,8,6,3,2,5,1]=>([(1,7),(2,7),(3,6),(4,5),(4,6),(4,7)],8)
[5,8,4,7,2,1,3,6]=>([(0,6),(1,6),(2,5),(2,7),(3,4),(3,5),(3,7),(6,7)],8)
[2,1,8,4,3,7,5,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,2),(6,3),(6,4),(7,3),(7,4)],8)
[6,3,8,2,4,5,7,1]=>([(1,6),(2,5),(2,6),(3,5),(3,7),(4,7),(6,4)],8)
[5,8,4,2,3,6,1,7]=>([(0,7),(1,6),(2,5),(3,4),(3,7),(5,7),(7,6)],8)
[5,8,2,4,3,1,6,7]=>([(0,7),(1,3),(1,7),(2,4),(2,5),(4,7),(5,7),(7,6)],8)
[2,8,3,1,6,4,5,7]=>([(0,6),(0,7),(1,2),(1,3),(3,6),(3,7),(4,5),(6,5),(7,4)],8)
[8,2,1,3,4,7,5,6]=>([(1,7),(2,7),(5,4),(6,3),(6,5),(7,6)],8)
[1,4,8,2,6,3,5,7]=>([(0,3),(0,4),(2,5),(3,2),(3,6),(4,1),(4,5),(4,6),(5,7),(6,7)],8)
[1,2,7,3,5,4,8,6]=>([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,2),(4,3),(5,1),(5,4)],8)
[1,2,3,8,4,5,7,6]=>([(0,5),(4,7),(5,6),(6,3),(6,4),(7,1),(7,2)],8)
[1,2,8,3,4,5,7,6]=>([(0,7),(4,5),(5,6),(6,2),(6,3),(7,1),(7,4)],8)
[1,3,8,2,6,4,5,7]=>([(0,3),(0,4),(1,6),(3,5),(3,7),(4,2),(4,5),(4,7),(5,6),(7,1)],8)
[1,5,7,2,3,6,4,8]=>([(0,4),(0,5),(1,7),(2,7),(3,2),(3,6),(4,3),(5,1),(5,6),(6,7)],8)
[1,7,2,3,5,4,8,6]=>([(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,7),(4,5),(5,1),(5,2)],8)
[1,3,8,2,4,5,7,6]=>([(0,4),(0,5),(4,7),(5,3),(5,7),(6,1),(6,2),(7,6)],8)
[1,2,3,8,4,6,7,5]=>([(0,5),(4,3),(5,6),(6,2),(6,7),(7,1),(7,4)],8)
[1,8,2,3,5,4,6,7]=>([(0,4),(0,5),(1,7),(2,7),(5,6),(6,1),(6,2),(7,3)],8)
[1,7,8,2,3,6,4,5]=>([(0,5),(0,6),(4,1),(5,3),(6,7),(7,2),(7,4)],8)
[1,6,7,8,2,3,5,4]=>([(0,5),(0,6),(4,1),(5,4),(6,7),(7,2),(7,3)],8)
[1,7,8,2,5,3,6,4]=>([(0,5),(0,6),(3,7),(4,2),(4,7),(5,1),(6,3),(6,4)],8)
[1,7,8,2,4,5,3,6]=>([(0,5),(0,6),(2,7),(3,7),(4,3),(5,1),(6,2),(6,4)],8)
[1,2,8,3,6,4,5,7]=>([(0,6),(2,7),(3,7),(4,3),(5,2),(5,4),(6,1),(6,5)],8)
[1,8,2,3,6,4,5,7]=>([(0,3),(0,5),(1,7),(2,7),(4,2),(5,6),(6,1),(6,4)],8)
[1,2,8,3,5,4,6,7]=>([(0,6),(2,7),(3,7),(5,2),(5,3),(6,1),(6,5),(7,4)],8)
[1,2,7,8,3,6,4,5]=>([(0,7),(4,2),(5,3),(6,1),(6,5),(7,4),(7,6)],8)
[1,5,2,7,8,3,6,4]=>([(0,3),(0,5),(3,6),(3,7),(4,2),(4,6),(5,4),(5,7),(7,1)],8)
[1,3,2,8,4,6,7,5]=>([(0,3),(0,4),(3,6),(3,7),(4,6),(4,7),(5,2),(7,1),(7,5)],8)
[1,8,2,3,4,6,7,5]=>([(0,3),(0,6),(4,7),(5,2),(6,4),(7,1),(7,5)],8)
[1,7,8,2,4,3,6,5]=>([(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,1),(5,2),(5,3)],8)
[6,7,3,1,5,2,8,4]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,7)],8)
[6,8,3,1,5,2,7,4]=>([(0,5),(0,6),(1,3),(1,7),(2,4),(2,5),(4,6),(4,7),(5,7)],8)
[6,7,4,5,1,2,8,3]=>([(0,5),(1,4),(2,6),(4,7),(5,7),(6,3),(6,7)],8)
[7,3,6,1,5,2,4,8]=>([(0,7),(1,3),(1,5),(2,4),(2,5),(2,6),(3,6),(4,7),(5,7),(6,7)],8)
[6,7,5,4,1,2,8,3]=>([(0,7),(1,7),(2,4),(3,5),(4,7),(5,6),(5,7)],8)
[5,8,6,4,1,7,2,3]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(5,7),(6,3)],8)
[5,7,6,4,1,8,2,3]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(4,7),(5,7),(6,3)],8)
[6,4,7,5,1,2,8,3]=>([(0,6),(1,4),(2,3),(2,6),(3,7),(4,5),(4,7),(6,7)],8)
[6,2,1,7,5,3,8,4]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,3),(5,7),(6,7)],8)
[6,3,8,1,5,2,7,4]=>([(0,4),(0,7),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6),(3,7),(5,7)],8)
[5,6,8,4,1,7,2,3]=>([(0,7),(1,6),(2,5),(2,7),(5,4),(6,3),(6,7)],8)
[4,6,8,5,7,1,2,3]=>([(0,6),(1,4),(1,5),(4,7),(5,3),(5,7),(6,2)],8)
[4,5,8,6,7,1,2,3]=>([(0,6),(1,7),(5,4),(6,2),(7,3),(7,5)],8)
[5,4,8,6,1,7,2,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,7),(3,4),(6,7)],8)
[5,3,8,1,6,7,2,4]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,7),(3,6),(7,4)],8)
[5,2,1,7,6,8,3,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(5,3),(6,4),(7,4)],8)
[5,4,7,6,1,8,2,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,7),(3,4),(5,7),(6,7)],8)
[4,8,6,5,7,1,2,3]=>([(0,6),(1,3),(1,4),(1,5),(4,7),(5,7),(6,2)],8)
[4,7,5,6,8,1,2,3]=>([(0,6),(1,4),(1,5),(3,7),(4,7),(5,3),(6,2)],8)
[4,6,5,7,8,1,2,3]=>([(0,6),(1,3),(1,4),(3,7),(4,7),(6,2),(7,5)],8)
[5,7,4,6,1,8,2,3]=>([(0,6),(1,3),(1,7),(2,4),(2,6),(3,5),(4,7),(6,7)],8)
[5,8,4,6,1,7,2,3]=>([(0,6),(1,4),(1,7),(2,3),(2,6),(4,5),(6,7)],8)
[5,8,3,1,6,7,2,4]=>([(0,6),(0,7),(1,3),(1,7),(2,5),(2,7),(5,6),(7,4)],8)
[5,7,3,1,6,8,2,4]=>([(0,5),(0,7),(1,3),(1,7),(2,4),(2,7),(3,5),(4,6),(7,6)],8)
[5,6,3,1,7,8,2,4]=>([(0,6),(0,7),(1,3),(2,5),(2,7),(3,7),(5,6),(7,4)],8)
[5,8,3,1,7,6,2,4]=>([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(4,5)],8)
[5,7,4,8,1,6,2,3]=>([(0,6),(0,7),(1,3),(1,7),(2,4),(2,7),(3,5),(4,6)],8)
[5,4,6,8,1,7,2,3]=>([(0,7),(1,7),(2,4),(2,6),(4,5),(7,3),(7,6)],8)
[4,8,6,7,5,1,2,3]=>([(0,7),(1,4),(1,5),(1,6),(6,3),(7,2)],8)
[5,2,1,7,8,6,3,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(5,4),(7,3)],8)
[5,3,8,1,7,6,2,4]=>([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5)],8)
[5,4,8,7,1,6,2,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4)],8)
[4,6,8,7,5,1,2,3]=>([(0,6),(1,5),(1,7),(6,4),(7,2),(7,3)],8)
[4,7,8,6,5,1,2,3]=>([(0,7),(1,4),(1,5),(1,6),(6,3),(7,2)],8)
[4,8,7,6,5,1,2,3]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(7,2)],8)
[2,5,4,7,3,6,1,8]=>([(0,7),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,4,6,3,7,5,1,8]=>([(0,7),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6),(5,7),(6,7)],8)
[4,2,7,3,6,5,1,8]=>([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,2,6,3,1,5,8,7]=>([(0,7),(1,4),(1,7),(2,3),(2,4),(3,7),(4,5),(4,6),(7,5),(7,6)],8)
[2,5,3,1,6,4,8,7]=>([(0,2),(0,3),(1,6),(1,7),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[2,5,3,7,6,4,1,8]=>([(0,7),(1,3),(1,4),(2,7),(3,5),(3,6),(4,2),(4,5),(4,6),(5,7),(6,7)],8)
[2,6,5,3,7,4,1,8]=>([(0,7),(1,3),(1,4),(1,5),(2,7),(3,6),(4,6),(5,2),(5,6),(6,7)],8)
[4,2,7,6,3,5,1,8]=>([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,7),(5,7),(6,7)],8)
[2,7,5,3,6,4,1,8]=>([(0,7),(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(5,2),(5,6),(6,7)],8)
[2,6,3,7,5,4,1,8]=>([(0,7),(1,4),(1,5),(2,7),(3,7),(4,6),(5,2),(5,3),(5,6),(6,7)],8)
[1,7,5,2,3,8,4,6]=>([(0,2),(0,3),(0,5),(1,6),(2,7),(3,6),(3,7),(4,1),(4,7),(5,4)],8)
[2,1,3,7,5,4,8,6]=>([(0,6),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(6,2),(6,3),(6,4)],8)
[2,3,1,8,6,5,4,7]=>([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[2,5,3,1,8,6,4,7]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4),(7,4)],8)
[4,2,8,3,1,6,5,7]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(6,5),(7,5)],8)
[8,3,2,6,4,1,5,7]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,7),(5,6),(6,7)],8)
[3,6,8,2,1,4,5,7]=>([(0,7),(1,7),(2,3),(2,7),(3,5),(3,6),(4,6),(7,4)],8)
[1,5,2,8,3,4,7,6]=>([(0,2),(0,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,1),(4,3),(4,7)],8)
[1,2,6,3,8,7,4,5]=>([(0,5),(2,6),(2,7),(3,1),(4,3),(4,6),(4,7),(5,2),(5,4)],8)
[1,2,8,3,6,4,7,5]=>([(0,6),(3,7),(4,2),(4,7),(5,3),(5,4),(6,1),(6,5)],8)
[1,2,7,6,3,4,8,5]=>([(0,6),(2,7),(3,7),(4,5),(5,1),(5,7),(6,2),(6,3),(6,4)],8)
[2,1,3,8,7,5,4,6]=>([(0,7),(1,7),(4,6),(5,6),(7,2),(7,3),(7,4),(7,5)],8)
[1,2,3,8,6,4,7,5]=>([(0,5),(3,7),(4,2),(4,7),(5,6),(6,1),(6,3),(6,4)],8)
[1,2,3,7,4,8,6,5]=>([(0,4),(3,7),(4,5),(5,3),(5,6),(6,1),(6,2),(6,7)],8)
[1,2,7,6,3,8,4,5]=>([(0,6),(2,7),(3,7),(4,1),(5,4),(5,7),(6,2),(6,3),(6,5)],8)
[1,2,3,6,4,8,7,5]=>([(0,4),(2,6),(2,7),(3,1),(3,6),(3,7),(4,5),(5,2),(5,3)],8)
[1,2,3,7,6,4,8,5]=>([(0,5),(2,7),(3,7),(4,1),(4,7),(5,6),(6,2),(6,3),(6,4)],8)
[2,6,3,1,8,5,4,7]=>([(0,4),(0,5),(0,7),(1,2),(1,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
[2,1,3,8,5,4,7,6]=>([(0,7),(1,7),(3,5),(3,6),(4,5),(4,6),(7,2),(7,3),(7,4)],8)
[7,1,8,4,2,3,5,6]=>([(0,6),(1,4),(1,5),(1,6),(3,7),(4,7),(5,3),(7,2)],8)
[2,1,8,4,3,5,7,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,2),(4,3),(6,4),(7,4)],8)
[4,2,6,3,1,8,5,7]=>([(0,6),(0,7),(1,4),(1,6),(2,3),(2,4),(3,6),(3,7),(4,5),(4,7),(6,5)],8)
[5,4,2,8,3,1,6,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,7),(7,5)],8)
[3,5,8,2,4,1,6,7]=>([(0,7),(1,6),(2,3),(2,6),(3,5),(3,7),(6,7),(7,4)],8)
[2,5,4,8,3,1,6,7]=>([(0,7),(1,2),(1,4),(1,5),(2,7),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[4,2,1,8,3,5,7,6]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(5,6),(6,3),(6,4)],8)
[1,8,7,4,2,3,5,6]=>([(0,3),(0,4),(0,5),(0,6),(1,7),(5,7),(6,1),(7,2)],8)
[1,5,2,8,7,3,4,6]=>([(0,2),(0,4),(1,5),(2,5),(2,6),(2,7),(3,1),(4,3),(4,6),(4,7)],8)
[1,2,7,3,6,4,8,5]=>([(0,6),(2,7),(3,7),(4,1),(4,7),(5,3),(5,4),(6,2),(6,5)],8)
[1,2,8,6,3,7,4,5]=>([(0,6),(3,7),(4,2),(5,4),(5,7),(6,1),(6,3),(6,5)],8)
[1,2,7,3,8,6,4,5]=>([(0,6),(3,7),(4,2),(5,1),(5,4),(5,7),(6,3),(6,5)],8)
[1,2,3,8,4,7,6,5]=>([(0,5),(5,6),(6,4),(6,7),(7,1),(7,2),(7,3)],8)
[1,2,7,3,4,8,6,5]=>([(0,6),(3,7),(4,5),(5,1),(5,2),(5,7),(6,3),(6,4)],8)
[1,2,6,3,8,4,7,5]=>([(0,5),(2,6),(2,7),(3,4),(3,7),(4,1),(4,6),(5,2),(5,3)],8)
[1,5,2,3,8,7,4,6]=>([(0,2),(0,4),(1,5),(2,5),(2,6),(2,7),(3,1),(3,6),(3,7),(4,3)],8)
[4,2,1,8,3,7,5,6]=>([(0,5),(0,6),(0,7),(1,4),(1,7),(2,4),(2,7),(4,5),(4,6),(6,3)],8)
[8,3,2,1,7,4,5,6]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(7,4)],8)
[1,8,4,2,7,3,5,6]=>([(0,3),(0,4),(0,5),(2,7),(4,6),(4,7),(5,2),(5,6),(7,1)],8)
[1,2,8,6,3,4,7,5]=>([(0,6),(3,7),(4,5),(5,1),(5,7),(6,2),(6,3),(6,4)],8)
[1,2,7,3,8,4,6,5]=>([(0,6),(3,7),(4,5),(4,7),(5,1),(5,2),(6,3),(6,4)],8)
[1,2,3,8,7,4,6,5]=>([(0,5),(5,7),(6,3),(6,4),(7,1),(7,2),(7,6)],8)
[1,2,3,8,7,6,4,5]=>([(0,6),(5,4),(6,7),(7,1),(7,2),(7,3),(7,5)],8)
[2,5,3,8,1,6,4,7]=>([(0,2),(0,3),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[2,6,4,7,1,5,3,8]=>([(0,2),(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[2,6,5,7,1,4,3,8]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(3,4),(4,7),(5,7),(6,7)],8)
[3,8,5,7,1,2,6,4]=>([(0,4),(1,3),(1,5),(1,7),(4,6),(4,7),(5,2),(5,6)],8)
[3,8,5,7,2,6,4,1]=>([(1,6),(1,7),(2,3),(2,4),(2,6),(4,5),(4,7)],8)
[3,4,8,6,2,5,7,1]=>([(1,3),(2,6),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[3,4,8,6,1,2,5,7]=>([(0,4),(1,5),(3,7),(4,6),(5,2),(5,3),(5,6),(6,7)],8)
[2,5,7,1,4,8,6,3]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(2,5),(3,2),(3,4),(7,4),(7,5)],8)
[2,4,8,1,5,7,6,3]=>([(0,6),(0,7),(1,5),(1,6),(5,4),(5,7),(7,2),(7,3)],8)
[2,4,3,8,1,6,5,7]=>([(0,6),(0,7),(1,2),(1,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[2,8,1,7,5,6,4,3]=>([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8)
[2,3,8,1,6,5,7,4]=>([(0,3),(1,5),(1,6),(1,7),(3,2),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[2,4,8,1,3,5,7,6]=>([(0,6),(1,5),(1,6),(5,4),(5,7),(6,7),(7,2),(7,3)],8)
[3,5,7,6,1,2,4,8]=>([(0,4),(1,5),(1,6),(2,7),(3,7),(4,6),(5,2),(5,3),(6,7)],8)
[3,5,7,6,2,4,8,1]=>([(1,6),(2,3),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[4,8,6,7,2,3,5,1]=>([(1,5),(2,4),(2,6),(2,7),(5,7),(6,3)],8)
[4,8,6,7,1,2,3,5]=>([(0,6),(1,3),(1,5),(1,7),(4,7),(5,2),(6,4)],8)
[4,8,6,7,1,3,5,2]=>([(0,3),(0,5),(1,4),(1,6),(1,7),(5,7),(6,2)],8)
[3,4,8,6,1,5,7,2]=>([(0,4),(0,7),(1,5),(3,6),(5,2),(5,3),(5,7),(7,6)],8)
[3,8,5,7,1,6,4,2]=>([(0,4),(0,6),(0,7),(1,3),(1,5),(1,7),(5,2),(5,6)],8)
[3,2,8,5,6,1,7,4]=>([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(5,3)],8)
[3,8,5,7,2,1,6,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(4,5),(4,7)],8)
[3,4,8,6,2,1,5,7]=>([(0,3),(1,7),(2,7),(3,4),(3,5),(3,7),(5,6),(7,6)],8)
[3,5,7,6,2,1,4,8]=>([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[4,8,6,7,2,1,3,5]=>([(0,6),(1,6),(2,3),(2,4),(2,7),(4,5),(6,7)],8)
[4,8,6,7,3,5,2,1]=>([(2,7),(3,4),(3,5),(3,7),(5,6)],8)
[5,8,6,7,3,4,2,1]=>([(2,5),(3,4),(3,6),(6,7)],8)
[5,8,6,7,2,1,3,4]=>([(0,7),(1,7),(2,4),(2,6),(6,3),(7,5)],8)
[5,8,6,7,2,1,4,3]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(4,5)],8)
[4,8,6,7,2,1,5,3]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(4,5)],8)
[4,3,1,7,5,2,8,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,7),(5,7),(6,4),(6,7)],8)
[4,3,2,8,5,1,7,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(7,4),(7,5)],8)
[4,3,8,5,1,6,7,2]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,7),(6,7),(7,3)],8)
[4,8,6,7,1,5,3,2]=>([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(6,2)],8)
[5,8,6,7,1,4,3,2]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(7,2)],8)
[5,8,6,7,2,3,4,1]=>([(1,7),(2,5),(2,6),(6,4),(7,3)],8)
[5,8,6,7,2,4,3,1]=>([(1,4),(1,5),(2,6),(2,7),(7,3)],8)
[5,8,6,7,1,2,4,3]=>([(0,7),(1,5),(1,6),(6,4),(7,2),(7,3)],8)
[4,2,3,8,5,1,6,7]=>([(0,5),(1,6),(1,7),(2,4),(4,6),(4,7),(5,3),(7,5)],8)
[4,2,8,5,1,7,6,3]=>([(0,5),(0,7),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(7,3),(7,4)],8)
[3,4,2,8,5,6,1,7]=>([(0,5),(1,6),(1,7),(2,4),(3,5),(4,6),(4,7),(7,3)],8)
[3,2,4,8,6,1,5,7]=>([(0,6),(1,6),(2,5),(4,7),(5,7),(6,3),(6,4),(6,5)],8)
[3,2,5,7,6,1,4,8]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(5,3),(5,4),(6,7)],8)
[4,8,6,7,1,3,2,5]=>([(0,4),(0,5),(1,3),(1,6),(1,7),(4,7),(5,7),(6,2)],8)
[4,8,6,7,1,2,5,3]=>([(0,6),(1,4),(1,5),(1,7),(5,3),(6,2),(6,7)],8)
[4,8,6,7,2,5,3,1]=>([(1,5),(1,7),(2,4),(2,6),(2,7),(6,3)],8)
[4,3,8,5,2,6,7,1]=>([(1,7),(2,5),(2,6),(3,5),(3,6),(6,7),(7,4)],8)
[4,3,8,5,1,2,6,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,7),(6,7),(7,4)],8)
[4,2,6,7,5,1,3,8]=>([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[3,8,5,7,1,4,2,6]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(4,7),(5,2),(5,7),(6,7)],8)
[3,8,4,7,1,5,2,6]=>([(0,4),(0,7),(1,3),(1,5),(4,6),(5,2),(5,7),(7,6)],8)
[3,5,2,8,4,6,1,7]=>([(0,5),(1,3),(1,7),(2,4),(2,7),(3,4),(3,6),(6,5),(7,6)],8)
[3,5,1,7,4,6,2,8]=>([(0,3),(0,6),(1,2),(1,5),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7),(6,4)],8)
[3,8,4,7,2,5,1,6]=>([(0,7),(1,6),(2,3),(2,4),(4,5),(4,7),(7,6)],8)
[4,1,3,8,5,2,6,7]=>([(0,5),(0,6),(1,3),(1,4),(3,7),(4,5),(4,6),(6,7),(7,2)],8)
[4,1,2,6,7,5,3,8]=>([(0,5),(0,6),(1,4),(2,7),(3,7),(4,3),(4,5),(4,6),(5,7),(6,2)],8)
[4,2,6,7,5,3,8,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[4,8,6,7,3,2,5,1]=>([(1,7),(2,7),(3,4),(3,5),(3,7),(5,6)],8)
[4,8,6,7,3,1,2,5]=>([(0,7),(1,5),(2,4),(2,6),(2,7),(5,7),(6,3)],8)
[3,1,5,7,6,2,4,8]=>([(0,5),(0,6),(1,4),(1,6),(2,7),(3,7),(4,5),(5,7),(6,2),(6,3)],8)
[3,4,1,7,5,6,2,8]=>([(0,4),(1,3),(1,5),(1,6),(2,7),(3,7),(4,5),(4,6),(5,7),(6,2)],8)
[4,1,7,5,2,8,6,3]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,2),(3,4),(3,7),(5,7),(6,4),(6,7)],8)
[4,1,6,7,5,2,3,8]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(3,7),(4,3),(5,7),(6,2)],8)
[4,8,6,7,2,3,1,5]=>([(0,7),(1,5),(2,4),(2,6),(2,7),(5,7),(6,3)],8)
[5,8,6,7,3,2,4,1]=>([(1,7),(2,7),(3,4),(3,5),(5,6)],8)
[5,8,6,7,4,2,3,1]=>([(2,5),(3,4),(3,6),(6,7)],8)
[5,8,6,7,4,1,2,3]=>([(1,7),(2,5),(2,6),(6,4),(7,3)],8)
[5,8,6,7,4,1,3,2]=>([(1,4),(1,5),(2,6),(2,7),(7,3)],8)
[5,8,6,7,3,1,4,2]=>([(0,7),(1,5),(1,7),(2,4),(2,6),(6,3)],8)
[4,8,6,7,3,1,5,2]=>([(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(6,3)],8)
[4,1,6,7,5,3,8,2]=>([(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,3)],8)
[4,1,7,5,3,2,8,6]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,7),(5,6),(5,7)],8)
[4,2,8,5,3,1,7,6]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(5,6),(5,7)],8)
[4,2,1,6,7,5,3,8]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[4,8,6,7,3,2,1,5]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,7),(5,6)],8)
[5,8,6,7,4,2,1,3]=>([(1,7),(2,7),(3,4),(3,5),(5,6)],8)
[5,8,6,7,4,3,1,2]=>([(2,5),(3,4),(3,6),(6,7)],8)
[7,3,5,8,1,4,2,6]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(3,7),(4,6),(4,7),(5,7)],8)
[3,8,7,6,1,4,2,5]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(1,7),(5,6),(7,6)],8)
[5,1,8,3,6,7,2,4]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(3,5),(4,5),(4,7),(7,2)],8)
[1,4,7,8,5,6,2,3]=>([(0,6),(0,7),(4,3),(5,2),(6,1),(7,4),(7,5)],8)
[3,4,7,1,5,8,6,2]=>([(0,4),(0,7),(1,5),(3,6),(5,3),(5,7),(7,2),(7,6)],8)
[3,6,1,4,7,8,5,2]=>([(0,5),(0,7),(1,4),(1,7),(5,6),(6,3),(7,2),(7,6)],8)
[1,6,8,4,7,5,2,3]=>([(0,4),(0,5),(0,6),(4,1),(5,3),(5,7),(6,2),(6,7)],8)
[6,8,1,3,5,7,2,4]=>([(0,4),(0,7),(1,3),(1,5),(2,7),(3,6),(5,2),(5,6)],8)
[7,6,1,4,3,8,2,5]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,1,6,5,4,2,7]=>([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,7)],8)
[4,1,3,7,5,8,2,6]=>([(0,2),(0,3),(1,6),(1,7),(2,5),(3,6),(3,7),(6,4),(7,4),(7,5)],8)
[6,1,7,3,8,4,2,5]=>([(0,7),(1,3),(1,4),(1,7),(2,5),(3,5),(4,2),(4,6),(7,6)],8)
[7,1,8,6,3,5,2,4]=>([(0,7),(1,3),(1,4),(1,5),(1,7),(4,6),(5,2),(5,6)],8)
[3,1,7,6,5,8,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(4,7),(5,7),(6,7)],8)
[8,2,7,6,5,3,4,1]=>([(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[8,4,2,6,7,5,3,1]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[4,8,1,6,7,5,3,2]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(7,2)],8)
[7,4,1,6,8,2,5,3]=>([(0,6),(1,5),(1,7),(2,3),(2,5),(3,4),(3,7),(5,6)],8)
[1,3,8,6,2,7,5,4]=>([(0,3),(0,4),(2,5),(3,5),(3,6),(3,7),(4,1),(4,2),(4,6),(4,7)],8)
[6,1,3,2,7,8,4,5]=>([(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,2)],8)
[1,8,6,2,5,3,4,7]=>([(0,3),(0,4),(0,6),(1,7),(2,7),(4,7),(5,2),(6,1),(6,5)],8)
[4,7,2,6,8,1,5,3]=>([(0,4),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,7),(3,6),(5,6)],8)
[8,7,3,6,4,5,2,1]=>([(4,5),(4,6),(6,7)],8)
[5,7,8,6,2,1,4,3]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(4,5)],8)
[2,7,4,1,6,8,3,5]=>([(0,2),(0,3),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(6,5),(7,4)],8)
[3,7,2,4,5,1,6,8]=>([(0,5),(1,6),(2,3),(2,5),(3,7),(4,6),(5,4),(6,7)],8)
[1,8,6,4,5,2,3,7]=>([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(4,7),(5,2),(6,1)],8)
[2,8,4,6,5,1,3,7]=>([(0,6),(1,2),(1,5),(1,6),(3,7),(4,7),(5,3),(5,4),(6,7)],8)
[3,4,1,7,5,2,6,8]=>([(0,3),(1,2),(1,5),(1,6),(2,7),(3,5),(3,6),(5,7),(6,4),(7,4)],8)
[7,5,8,6,1,2,4,3]=>([(0,7),(1,6),(2,5),(2,7),(6,3),(6,4)],8)
[5,6,8,7,3,1,4,2]=>([(0,7),(1,6),(2,5),(2,7),(6,3),(6,4)],8)
[2,5,4,3,6,8,1,7]=>([(0,6),(1,2),(1,3),(1,4),(2,7),(3,7),(4,7),(7,5),(7,6)],8)
[3,8,5,4,6,2,1,7]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(4,6),(5,6),(6,7)],8)
[4,8,2,1,3,7,5,6]=>([(0,5),(1,5),(2,4),(2,6),(2,7),(5,6),(5,7),(7,3)],8)
[6,4,1,2,7,5,8,3]=>([(0,7),(1,6),(1,7),(2,3),(3,4),(3,6),(3,7),(6,5),(7,5)],8)
[4,1,8,3,6,7,5,2]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(4,5),(4,7),(7,2)],8)
[8,3,7,4,5,2,6,1]=>([(2,7),(3,4),(3,5),(5,6),(6,7)],8)
[4,3,7,8,5,1,6,2]=>([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(5,6),(7,3)],8)
[5,4,8,2,7,6,1,3]=>([(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8)
[1,2,7,3,6,5,8,4]=>([(0,5),(2,7),(3,7),(4,7),(5,4),(5,6),(6,1),(6,2),(6,3)],8)
[2,8,7,6,3,4,1,5]=>([(0,7),(1,2),(1,3),(1,4),(1,6),(5,7),(6,5)],8)
[5,8,2,6,3,4,1,7]=>([(0,7),(1,3),(1,6),(2,4),(2,6),(4,5),(5,7),(6,7)],8)
[4,1,7,5,8,6,2,3]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(4,3),(6,5),(7,2),(7,5)],8)
[5,1,7,8,4,3,6,2]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(3,7),(4,7),(6,5)],8)
[8,2,7,5,4,3,6,1]=>([(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[6,3,8,1,4,7,5,2]=>([(0,5),(0,7),(1,5),(1,6),(2,4),(2,7),(7,3),(7,6)],8)
[3,8,4,5,6,1,2,7]=>([(0,4),(1,2),(1,6),(3,7),(4,7),(5,3),(6,5)],8)
[1,4,3,5,7,8,2,6]=>([(0,2),(0,3),(0,4),(2,7),(3,6),(4,6),(5,1),(6,5),(6,7)],8)
[6,5,8,7,1,3,4,2]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(4,5)],8)
[3,6,7,2,4,8,1,5]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,7),(5,6),(5,7)],8)
[1,5,2,7,4,3,8,6]=>([(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(4,1),(4,2),(4,5),(5,7)],8)
[2,8,5,6,4,3,1,7]=>([(0,7),(1,2),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,3)],8)
[1,8,6,5,4,3,2,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,1,5,2,8,4,7,3]=>([(0,6),(0,7),(1,4),(1,5),(3,6),(4,6),(4,7),(5,2),(5,3),(5,7)],8)
[4,6,1,8,5,7,2,3]=>([(0,3),(0,7),(1,4),(1,6),(1,7),(3,5),(3,6),(4,2),(7,5)],8)
[4,7,1,2,8,5,6,3]=>([(0,4),(0,7),(1,5),(4,6),(5,3),(5,6),(5,7),(7,2)],8)
[1,4,7,2,8,5,6,3]=>([(0,4),(0,5),(3,6),(4,3),(4,7),(5,1),(5,6),(5,7),(7,2)],8)
[1,7,3,5,8,6,2,4]=>([(0,2),(0,3),(0,5),(2,6),(3,7),(4,1),(4,7),(5,4),(5,6)],8)
[7,3,5,8,6,1,2,4]=>([(0,7),(1,3),(2,4),(2,6),(3,6),(4,5),(4,7)],8)
[3,6,8,1,5,7,2,4]=>([(0,3),(0,7),(1,4),(1,6),(1,7),(3,6),(4,2),(4,5),(7,5)],8)
[3,4,6,5,8,1,7,2]=>([(0,5),(1,4),(1,7),(2,6),(2,7),(3,6),(3,7),(5,2),(5,3)],8)
[6,8,1,5,7,2,3,4]=>([(0,4),(0,7),(1,3),(1,6),(3,7),(5,2),(6,5)],8)
[7,1,2,5,8,6,3,4]=>([(0,7),(1,6),(4,3),(5,2),(5,7),(6,4),(6,5)],8)
[1,7,2,5,8,6,3,4]=>([(0,3),(0,6),(3,7),(4,2),(5,1),(5,7),(6,4),(6,5)],8)
[1,7,6,8,2,3,5,4]=>([(0,3),(0,4),(0,5),(3,7),(4,7),(5,6),(6,1),(6,2)],8)
[7,6,8,1,2,3,5,4]=>([(0,7),(1,7),(2,5),(5,6),(6,3),(6,4)],8)
[2,7,1,5,8,6,3,4]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(6,3),(7,4),(7,5)],8)
[2,4,7,1,8,5,6,3]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(3,5),(4,3),(4,7),(7,2)],8)
[4,7,5,8,3,1,6,2]=>([(0,7),(1,3),(1,7),(2,4),(2,5),(4,6),(5,6),(5,7)],8)
[4,7,2,1,8,5,6,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(3,7),(6,4)],8)
[7,6,8,2,1,3,5,4]=>([(0,7),(1,7),(2,6),(3,6),(7,4),(7,5)],8)
[1,2,7,6,8,3,5,4]=>([(0,6),(3,7),(4,7),(5,1),(5,2),(6,3),(6,4),(6,5)],8)
[3,7,6,8,2,1,5,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(4,5)],8)
[7,4,2,1,6,8,5,3]=>([(0,6),(0,7),(1,5),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(7,5)],8)
[6,7,4,1,8,5,3,2]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(2,6),(2,7),(5,7)],8)
[6,7,4,3,1,8,5,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7),(5,7)],8)
[2,7,4,1,6,8,5,3]=>([(0,2),(0,3),(0,6),(1,4),(1,6),(1,7),(2,5),(3,4),(3,7),(7,5)],8)
[2,3,7,6,8,1,5,4]=>([(0,6),(0,7),(1,4),(2,5),(3,5),(4,2),(4,3),(4,6),(4,7)],8)
[7,4,2,6,8,5,1,3]=>([(0,7),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(6,7)],8)
[7,3,2,5,8,6,1,4]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(6,4),(6,5)],8)
[3,1,7,6,8,2,5,4]=>([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(6,3),(7,3)],8)
[3,7,6,8,1,2,5,4]=>([(0,4),(1,2),(1,3),(1,6),(1,7),(2,5),(3,5),(4,6),(4,7)],8)
[1,3,7,6,8,2,5,4]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(3,7),(4,1),(4,2),(4,6),(4,7)],8)
[1,7,4,2,6,8,5,3]=>([(0,2),(0,3),(0,4),(2,7),(3,5),(3,6),(4,1),(4,5),(4,6),(6,7)],8)
[7,4,1,2,6,8,5,3]=>([(0,5),(1,6),(1,7),(2,3),(3,4),(3,6),(3,7),(7,5)],8)
[7,1,4,2,8,5,6,3]=>([(0,7),(1,3),(1,5),(3,6),(3,7),(5,2),(5,6),(5,7),(6,4)],8)
[7,1,8,2,5,4,6,3]=>([(0,7),(1,5),(1,7),(3,6),(4,6),(5,2),(5,3),(5,4)],8)
[7,3,8,4,6,1,5,2]=>([(0,6),(1,3),(1,7),(2,4),(2,6),(4,5),(4,7)],8)
[7,2,8,1,6,4,5,3]=>([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(6,3)],8)
[7,1,6,8,5,4,2,3]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(5,7),(6,2)],8)
[7,1,2,6,8,5,4,3]=>([(0,7),(1,6),(5,7),(6,2),(6,3),(6,4),(6,5)],8)
[1,7,2,6,8,5,4,3]=>([(0,5),(0,6),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4)],8)
[1,7,6,8,3,2,5,4]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[7,6,8,3,1,2,5,4]=>([(0,5),(1,5),(2,6),(2,7),(3,4),(4,6),(4,7)],8)
[7,1,5,8,6,3,2,4]=>([(0,7),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,7)],8)
[7,2,5,8,6,3,1,4]=>([(0,6),(1,7),(2,3),(2,4),(3,6),(4,5),(4,7)],8)
[3,6,7,1,8,5,4,2]=>([(0,3),(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,5),(4,2)],8)
[7,2,6,8,5,4,1,3]=>([(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(5,7)],8)
[7,6,8,2,3,1,5,4]=>([(0,5),(1,5),(2,6),(2,7),(3,4),(4,6),(4,7)],8)
[2,7,6,8,3,1,5,4]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(3,5),(4,6),(4,7)],8)
[2,7,1,6,8,5,4,3]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(7,3)],8)
[6,7,3,1,8,5,4,2]=>([(0,5),(0,6),(0,7),(1,4),(2,3),(2,5),(2,6),(2,7),(4,7)],8)
[6,7,1,8,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,7),(6,7)],8)
[7,2,1,6,8,5,4,3]=>([(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[7,6,8,3,2,1,5,4]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5)],8)
[4,7,8,5,6,1,3,2]=>([(0,4),(0,5),(1,6),(1,7),(6,3),(7,2)],8)
[4,6,5,8,7,1,3,2]=>([(0,2),(0,3),(1,4),(1,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,4,8,1,2,7,3]=>([(0,6),(0,7),(1,3),(2,4),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,5,6,7,2,4,3]=>([(1,6),(1,7),(5,4),(6,5),(7,2),(7,3)],8)
[6,4,5,1,8,2,7,3]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,6,7,1,2,8,3]=>([(0,6),(1,6),(2,3),(3,5),(3,7),(4,7),(6,4)],8)
[4,3,6,7,2,1,5,8]=>([(0,7),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,4),(7,6)],8)
[5,3,6,7,1,4,2,8]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(3,7),(4,7),(5,7),(6,3)],8)
[8,1,4,6,7,3,2,5]=>([(1,3),(1,4),(1,6),(3,7),(4,7),(5,2),(6,5),(6,7)],8)
[8,1,3,6,7,4,5,2]=>([(1,4),(1,7),(5,3),(6,2),(7,5),(7,6)],8)
[7,2,1,6,8,4,5,3]=>([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(7,4)],8)
[5,2,6,7,1,4,8,3]=>([(0,6),(1,4),(1,7),(2,4),(2,6),(2,7),(3,5),(6,3),(7,5)],8)
[4,2,6,7,3,1,8,5]=>([(0,6),(0,7),(1,5),(1,6),(2,3),(2,5),(3,6),(3,7),(4,7),(5,4)],8)
[6,2,4,1,5,8,7,3]=>([(0,3),(0,6),(1,4),(1,5),(2,6),(2,7),(3,7),(7,4),(7,5)],8)
[7,2,1,5,4,8,6,3]=>([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(5,7),(6,3),(6,7)],8)
[8,1,4,5,3,7,2,6]=>([(1,2),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,3)],8)
[7,3,1,5,4,8,2,6]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,4,1,5,8,2,7]=>([(0,5),(0,7),(1,3),(2,4),(2,6),(3,6),(4,7),(6,5),(6,7)],8)
[5,3,4,2,1,8,6,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)
[4,3,5,2,7,1,6,8]=>([(0,4),(1,4),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[5,6,3,8,1,4,2,7]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(3,7),(4,6),(4,7),(5,7)],8)
[8,1,7,2,4,5,6,3]=>([(1,4),(1,7),(5,6),(6,3),(7,2),(7,5)],8)
[7,6,1,2,4,5,8,3]=>([(0,7),(1,7),(2,6),(4,7),(5,4),(6,3),(6,5)],8)
[4,7,8,2,3,1,6,5]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(2,7),(3,5),(4,6),(4,7)],8)
[5,6,2,8,1,4,7,3]=>([(0,3),(1,4),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(7,5)],8)
[6,5,2,1,3,7,8,4]=>([(0,7),(1,7),(2,6),(3,6),(6,5),(6,7),(7,4)],8)
[7,5,1,3,2,6,8,4]=>([(0,7),(1,5),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[8,1,6,3,2,5,7,4]=>([(1,2),(1,3),(1,4),(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
[7,4,1,3,5,2,8,6]=>([(0,7),(1,5),(2,3),(2,4),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[5,4,2,3,1,6,8,7]=>([(0,7),(1,7),(2,7),(3,4),(4,7),(7,5),(7,6)],8)
[7,3,1,4,5,6,2,8]=>([(0,7),(1,6),(2,3),(2,6),(3,7),(4,5),(5,7),(6,4)],8)
[8,1,4,3,5,6,2,7]=>([(1,2),(1,3),(1,5),(2,7),(3,7),(4,6),(5,6),(7,4)],8)
[6,2,3,1,5,7,8,4]=>([(0,5),(1,6),(1,7),(2,4),(4,6),(4,7),(5,3),(7,5)],8)
[7,8,4,2,1,6,5,3]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4)],8)
[7,8,4,2,1,5,6,3]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(7,5)],8)
[6,2,3,4,8,7,1,5]=>([(0,5),(1,6),(1,7),(2,3),(3,4),(4,5),(4,6),(4,7)],8)
[6,2,3,4,7,8,1,5]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(5,7),(7,3)],8)
[7,8,3,4,6,2,1,5]=>([(0,7),(1,7),(2,4),(3,5),(5,6),(5,7)],8)
[7,8,3,6,4,2,1,5]=>([(0,7),(1,7),(2,5),(3,4),(3,6),(6,7)],8)
[7,8,3,5,6,2,1,4]=>([(0,7),(1,7),(2,4),(3,5),(3,7),(5,6)],8)
[6,2,3,8,7,5,1,4]=>([(0,5),(1,6),(1,7),(2,3),(3,4),(3,5),(3,6),(3,7)],8)
[6,2,3,7,8,5,1,4]=>([(0,7),(1,6),(2,4),(4,5),(4,6),(4,7),(7,3)],8)
[5,2,6,3,8,1,7,4]=>([(0,4),(1,5),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,6),(4,7)],8)
[6,3,2,5,8,7,1,4]=>([(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[6,3,2,8,4,7,1,5]=>([(0,4),(0,7),(1,4),(1,7),(2,6),(3,5),(3,7),(4,5),(4,6)],8)
[6,4,3,8,7,5,1,2]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4)],8)
[6,4,3,7,8,5,1,2]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(7,5)],8)
[6,2,4,1,7,3,5,8]=>([(0,7),(1,4),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(6,5),(7,5)],8)
[6,3,2,7,4,8,1,5]=>([(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(4,5),(4,6),(7,6)],8)
[6,3,2,5,7,8,1,4]=>([(0,6),(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(6,4)],8)
[5,7,2,3,6,1,8,4]=>([(0,5),(0,7),(1,4),(2,3),(2,6),(3,7),(4,5),(4,6),(6,7)],8)
[5,8,2,3,6,1,7,4]=>([(0,5),(0,6),(1,4),(2,3),(2,7),(4,6),(4,7),(7,5)],8)
[4,7,5,8,3,2,1,6]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(4,6),(5,6),(5,7)],8)
[4,5,6,8,3,2,1,7]=>([(0,4),(1,7),(2,7),(3,7),(4,6),(6,5),(6,7)],8)
[4,6,8,5,3,2,1,7]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[5,6,1,4,2,3,7,8]=>([(0,5),(1,3),(1,6),(2,7),(3,7),(5,7),(6,2),(7,4)],8)
[5,6,8,4,3,7,1,2]=>([(0,7),(1,7),(2,4),(3,5),(5,6),(5,7)],8)
[5,6,1,4,2,3,8,7]=>([(0,4),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[5,2,8,3,4,1,7,6]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(3,4),(4,6),(4,7)],8)
[4,5,8,6,3,2,1,7]=>([(0,4),(1,7),(2,7),(3,7),(4,5),(4,6),(6,7)],8)
[4,6,5,8,3,2,1,7]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,5,6,3,2,1,8]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,2,3,4,5,8,1,7]=>([(0,3),(1,7),(2,6),(2,7),(3,5),(4,6),(4,7),(5,4)],8)
[5,1,4,3,6,2,8,7]=>([(0,7),(1,2),(1,3),(1,4),(2,7),(3,7),(4,5),(4,6),(7,5),(7,6)],8)
[5,1,4,3,7,2,8,6]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(6,5)],8)
[5,1,4,3,8,2,7,6]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,6,2,4,1,7,8,3]=>([(0,6),(0,7),(1,3),(2,4),(2,6),(3,7),(4,7),(7,5)],8)
[5,6,2,4,1,8,7,3]=>([(0,5),(0,6),(0,7),(1,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[5,7,2,4,1,8,6,3]=>([(0,5),(0,6),(0,7),(1,3),(1,6),(2,4),(2,5),(3,7),(4,6),(4,7)],8)
[6,1,4,2,8,7,5,3]=>([(0,6),(0,7),(1,3),(1,4),(3,5),(3,6),(3,7),(4,2),(4,5),(4,6),(4,7)],8)
[6,1,4,2,7,8,5,3]=>([(0,7),(1,4),(1,5),(4,6),(4,7),(5,2),(5,6),(5,7),(7,3)],8)
[5,8,2,4,1,7,6,3]=>([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7)],8)
[5,2,7,4,1,6,8,3]=>([(0,4),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(3,7),(5,6),(7,6)],8)
[5,4,1,3,7,2,6,8]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[5,1,4,3,6,2,7,8]=>([(0,7),(1,2),(1,3),(1,4),(2,7),(3,7),(4,6),(6,5),(7,6)],8)
[5,8,6,4,3,7,1,2]=>([(0,7),(1,7),(2,5),(3,4),(3,6),(6,7)],8)
[5,8,1,4,2,3,7,6]=>([(0,4),(0,6),(0,7),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(5,2)],8)
[5,1,6,3,4,2,7,8]=>([(0,6),(1,3),(1,5),(1,6),(2,7),(3,7),(5,2),(6,7),(7,4)],8)
[4,8,6,5,3,2,1,7]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[4,8,5,6,3,2,1,7]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(5,6),(6,7)],8)
[5,4,7,8,3,2,1,6]=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[5,4,8,7,3,2,1,6]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,6,8,7,3,2,1,5]=>([(0,7),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6)],8)
[4,6,7,8,3,2,1,5]=>([(0,7),(1,7),(2,7),(3,4),(3,7),(4,6),(6,5)],8)
[4,7,6,8,3,2,1,5]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
[4,7,8,5,3,2,1,6]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,1,3,4,2,6,8]=>([(0,4),(0,7),(1,3),(1,5),(2,7),(3,7),(4,6),(5,2),(7,6)],8)
[5,1,8,4,2,3,6,7]=>([(0,6),(0,7),(1,3),(1,5),(1,6),(2,7),(3,7),(5,2),(7,4)],8)
[5,1,7,4,2,3,6,8]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(2,7),(3,7),(4,2),(6,5),(7,5)],8)
[5,8,1,3,4,2,6,7]=>([(0,5),(0,7),(1,3),(1,6),(2,7),(3,7),(6,2),(7,4)],8)
[4,8,7,5,3,2,1,6]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(6,7)],8)
[4,7,8,6,3,2,1,5]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,7),(5,6)],8)
[4,8,7,6,3,2,1,5]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[4,8,2,6,3,7,5,1]=>([(1,4),(1,5),(2,3),(2,5),(2,6),(4,6),(4,7),(5,7)],8)
[4,3,8,1,6,2,5,7]=>([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(3,7),(6,5),(7,5)],8)
[4,3,8,7,2,5,1,6]=>([(0,7),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(7,6)],8)
[5,8,4,3,7,1,6,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7)],8)
[6,8,1,2,4,3,5,7]=>([(0,4),(0,7),(1,5),(2,6),(3,6),(5,2),(5,3),(6,7)],8)
[5,8,7,1,3,4,2,6]=>([(0,5),(0,6),(1,3),(1,4),(1,7),(2,7),(5,7),(6,2)],8)
[4,8,7,6,3,1,2,5]=>([(0,7),(1,6),(2,3),(2,4),(2,5),(2,7),(6,7)],8)
[4,3,8,2,7,5,6,1]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[1,4,3,8,2,6,5,7]=>([(0,1),(0,2),(0,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(6,5),(7,5)],8)
[4,3,2,8,1,6,5,7]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[4,1,3,8,2,6,5,7]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[4,1,8,3,7,5,6,2]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(4,5),(4,7),(7,2)],8)
[3,7,8,1,5,4,2,6]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,7),(4,2),(5,7),(6,7)],8)
[7,3,8,1,5,4,6,2]=>([(0,5),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(6,4),(7,4)],8)
[3,4,8,1,6,2,5,7]=>([(0,3),(0,7),(1,4),(3,5),(4,2),(4,5),(4,7),(5,6),(7,6)],8)
[3,4,2,1,8,6,5,7]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[3,6,7,8,4,1,2,5]=>([(0,4),(1,3),(1,6),(3,7),(4,7),(5,2),(6,5)],8)
[4,1,7,8,5,3,2,6]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,2)],8)
[3,7,6,8,4,2,1,5]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(5,6)],8)
[3,7,8,2,6,4,5,1]=>([(1,6),(1,7),(2,4),(2,6),(2,7),(4,5),(7,3)],8)
[4,2,3,8,1,6,5,7]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[4,3,1,8,2,6,5,7]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(3,6),(3,7),(6,4),(7,4)],8)
[4,3,7,8,5,2,1,6]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(5,7),(6,4)],8)
[2,6,8,4,7,3,1,5]=>([(0,7),(1,3),(1,4),(1,5),(3,7),(4,6),(4,7),(5,2),(5,6)],8)
[7,3,6,8,4,2,1,5]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(4,7),(5,6)],8)
[7,6,2,8,3,5,4,1]=>([(1,7),(2,7),(3,4),(3,7),(4,5),(4,6)],8)
[3,2,4,8,1,6,5,7]=>([(0,7),(1,7),(2,5),(2,6),(5,4),(6,4),(7,3),(7,5),(7,6)],8)
[2,4,8,3,6,1,5,7]=>([(0,7),(1,3),(1,4),(3,5),(3,7),(4,2),(4,5),(4,7),(5,6),(7,6)],8)
[7,4,1,8,5,2,6,3]=>([(0,7),(1,5),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(5,6)],8)
[1,3,2,4,8,6,5,7]=>([(0,4),(0,5),(2,6),(3,6),(4,7),(5,7),(7,1),(7,2),(7,3)],8)
[3,1,2,4,8,6,5,7]=>([(0,7),(1,3),(3,7),(4,6),(5,6),(7,2),(7,4),(7,5)],8)
[3,1,4,8,2,6,5,7]=>([(0,7),(1,3),(1,7),(3,5),(3,6),(5,4),(6,4),(7,2),(7,5),(7,6)],8)
[3,7,4,8,5,1,2,6]=>([(0,4),(1,3),(1,5),(2,6),(3,7),(4,6),(5,2),(5,7)],8)
[6,7,2,8,3,5,4,1]=>([(1,5),(2,6),(2,7),(5,7),(6,3),(6,4)],8)
[2,1,3,4,8,6,5,7]=>([(0,7),(1,7),(3,6),(4,6),(5,2),(5,3),(5,4),(7,5)],8)
[1,2,3,4,8,6,5,7]=>([(0,5),(2,7),(3,7),(4,6),(5,4),(6,1),(6,2),(6,3)],8)
[4,8,3,6,2,1,5,7]=>([(0,7),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(5,6),(7,6)],8)
[3,5,8,2,6,1,4,7]=>([(0,7),(1,6),(1,7),(2,3),(2,7),(3,4),(3,6),(6,5),(7,5)],8)
[3,6,5,8,2,4,1,7]=>([(0,7),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[5,3,8,7,2,4,6,1]=>([(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(6,7)],8)
[2,8,4,5,7,3,6,1]=>([(1,3),(1,4),(1,5),(4,7),(5,6),(6,2),(6,7)],8)
[2,4,5,7,3,8,1,6]=>([(0,7),(1,3),(1,4),(2,6),(3,6),(3,7),(4,5),(5,2),(5,7)],8)
[6,2,4,5,8,3,1,7]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(4,7),(5,6),(5,7)],8)
[4,8,1,2,5,6,3,7]=>([(0,4),(0,7),(1,5),(2,6),(3,6),(5,3),(5,7),(7,2)],8)
[8,1,3,5,2,6,4,7]=>([(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6),(5,7),(6,7)],8)
[5,2,1,6,3,8,4,7]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(3,6),(5,3),(5,4),(7,4),(7,6)],8)
[6,2,5,1,8,4,3,7]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(3,7),(4,7),(5,7)],8)
[3,6,1,5,8,4,2,7]=>([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,7),(3,4),(3,7),(5,7),(6,4),(6,7)],8)
[6,1,4,5,8,3,2,7]=>([(0,6),(0,7),(1,2),(1,3),(1,5),(2,7),(3,7),(4,6),(4,7),(5,4)],8)
[5,6,4,8,1,3,2,7]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(3,7),(4,7),(5,6),(5,7)],8)
[6,5,4,3,8,2,1,7]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,3,7,2,8,1,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(6,5)],8)
[5,8,4,3,7,2,6,1]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,6,8,3,7,2,5,1]=>([(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6)],8)
[7,4,6,3,2,8,1,5]=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[1,4,3,6,2,7,8,5]=>([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,1)],8)
[1,5,4,3,7,2,8,6]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(6,5)],8)
[4,7,8,5,3,1,2,6]=>([(0,7),(1,5),(2,4),(2,6),(4,7),(5,7),(6,3)],8)
[5,7,3,4,1,2,8,6]=>([(0,5),(1,4),(2,3),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,4,7,6,2,1,3]=>([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[8,5,7,4,3,6,1,2]=>([(1,7),(2,7),(3,6),(4,5),(4,7)],8)
[4,3,8,1,6,7,5,2]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(7,3)],8)
[4,7,8,3,6,1,5,2]=>([(0,6),(0,7),(1,3),(1,7),(2,4),(2,6),(2,7),(4,5)],8)
[5,3,8,6,7,4,1,2]=>([(0,6),(0,7),(1,3),(2,4),(2,6),(2,7),(7,5)],8)
[1,3,8,6,4,7,5,2]=>([(0,4),(0,6),(3,7),(5,2),(5,7),(6,1),(6,3),(6,5)],8)
[8,6,2,7,4,1,5,3]=>([(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7)],8)
[7,6,2,1,4,3,8,5]=>([(0,7),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,1,3,4,2,8,5]=>([(0,7),(1,7),(2,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,7,3,2,6,8,4]=>([(0,2),(0,3),(0,4),(1,6),(2,5),(2,7),(3,5),(3,7),(4,1),(4,7),(7,6)],8)
[1,6,7,3,2,5,8,4]=>([(0,2),(0,3),(0,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,1),(6,7)],8)
[3,2,6,8,5,7,4,1]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,4),(7,3),(7,4)],8)
[5,8,2,3,6,7,4,1]=>([(1,6),(2,5),(2,7),(6,3),(6,7),(7,4)],8)
[7,5,2,3,1,6,8,4]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(7,5)],8)
[1,6,4,7,2,3,8,5]=>([(0,2),(0,3),(0,4),(1,6),(1,7),(2,5),(3,5),(3,6),(4,1),(5,7)],8)
[3,1,7,5,2,8,4,6]=>([(0,2),(0,4),(0,6),(1,4),(1,5),(1,6),(2,5),(2,7),(4,7),(5,3),(6,3),(6,7)],8)
[2,5,7,4,1,8,3,6]=>([(0,5),(0,7),(1,3),(1,4),(1,5),(2,7),(3,6),(3,7),(4,2),(4,6),(5,6)],8)
[4,2,6,1,7,8,3,5]=>([(0,4),(0,7),(1,5),(1,6),(2,6),(2,7),(5,3),(6,4),(7,5)],8)
[4,2,7,6,3,8,1,5]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(3,7),(4,7),(5,7)],8)
[6,4,8,7,2,3,5,1]=>([(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(4,7)],8)
[3,2,6,8,7,4,5,1]=>([(1,6),(1,7),(2,6),(2,7),(6,5),(7,3),(7,4)],8)
[3,2,7,4,1,6,8,5]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(5,3),(6,3),(7,4),(7,5)],8)
[6,3,2,1,7,8,4,5]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8)
[3,7,1,8,4,2,5,6]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(3,7),(4,5),(6,7),(7,2)],8)
[4,2,1,3,7,5,8,6]=>([(0,7),(1,7),(2,5),(2,6),(5,4),(6,3),(6,4),(7,5),(7,6)],8)
[8,1,3,7,4,2,6,5]=>([(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3)],8)
[8,4,3,7,6,2,1,5]=>([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,3,5,2,7,6,1,4]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6)],8)
[3,6,2,8,7,1,5,4]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5)],8)
[7,3,2,8,1,6,5,4]=>([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[3,8,7,2,6,5,4,1]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[4,2,7,8,6,1,5,3]=>([(0,4),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3)],8)
[6,8,2,4,7,1,5,3]=>([(0,5),(0,7),(1,4),(1,5),(2,3),(2,6),(4,6),(4,7)],8)
[5,2,1,8,7,3,6,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(5,3),(5,4)],8)
[8,2,1,6,3,7,5,4]=>([(1,5),(1,7),(2,5),(2,7),(5,6),(7,3),(7,4),(7,6)],8)
[6,8,3,1,7,5,2,4]=>([(0,5),(0,6),(0,7),(1,3),(1,7),(2,4),(2,5),(2,7),(4,6)],8)
[5,8,1,6,7,2,4,3]=>([(0,5),(0,7),(1,6),(1,7),(6,2),(6,3),(7,4)],8)
[6,2,8,1,5,7,4,3]=>([(0,5),(0,6),(1,3),(1,4),(1,7),(2,3),(2,4),(2,6),(2,7),(7,5)],8)
[5,7,8,2,6,1,4,3]=>([(0,5),(0,6),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4)],8)
[8,7,2,5,6,4,3,1]=>([(3,4),(3,5),(3,6),(6,7)],8)
[8,6,7,5,2,4,3,1]=>([(3,7),(4,5),(4,6)],8)
[7,2,6,8,1,5,4,3]=>([(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4)],8)
[1,2,7,8,5,6,4,3]=>([(0,7),(5,4),(6,3),(7,1),(7,2),(7,5),(7,6)],8)
[7,4,8,1,6,2,5,3]=>([(0,5),(1,5),(1,6),(1,7),(2,3),(2,6),(3,4),(3,7)],8)
[3,7,1,8,2,6,5,4]=>([(0,3),(0,7),(1,2),(1,4),(1,5),(1,6),(2,7),(3,4),(3,5),(3,6)],8)
[2,1,7,3,8,6,5,4]=>([(0,6),(0,7),(1,6),(1,7),(6,5),(7,2),(7,3),(7,4),(7,5)],8)
[8,2,1,7,6,5,4,3]=>([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[8,1,4,7,6,5,3,2]=>([(1,5),(1,6),(1,7),(7,2),(7,3),(7,4)],8)
[8,6,7,5,1,4,3,2]=>([(2,7),(3,4),(3,5),(3,6)],8)
[7,8,6,5,4,1,3,2]=>([(3,7),(4,5),(4,6)],8)
[5,8,4,3,2,1,6,7]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,7),(7,6)],8)
[6,4,7,3,2,1,8,5]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(4,6),(5,7)],8)
[5,4,7,3,2,1,6,8]=>([(0,7),(1,7),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[6,5,3,7,2,1,4,8]=>([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(6,5),(7,5)],8)
[5,8,3,6,2,1,4,7]=>([(0,7),(1,7),(2,5),(2,7),(3,4),(3,5),(5,6),(7,6)],8)
[6,3,7,8,2,1,4,5]=>([(0,7),(1,7),(2,6),(3,6),(3,7),(6,5),(7,4)],8)
[5,3,7,6,2,1,4,8]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[3,8,7,6,2,1,4,5]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(2,7),(7,6)],8)
[5,8,4,2,6,1,3,7]=>([(0,7),(1,5),(2,5),(2,7),(3,4),(3,7),(5,6),(7,6)],8)
[4,8,7,2,5,1,3,6]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(5,7),(6,7)],8)
[5,8,3,2,6,1,4,7]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(6,5),(7,5)],8)
[4,8,3,2,5,1,7,6]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(3,7),(7,5),(7,6)],8)
[4,3,7,2,5,1,8,6]=>([(0,6),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(6,5),(6,7)],8)
[3,8,7,2,5,1,4,6]=>([(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(5,6),(7,6)],8)
[6,4,2,7,5,1,3,8]=>([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[6,3,2,7,5,1,4,8]=>([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,3,2,6,7,1,4,8]=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(6,5),(7,4)],8)
[3,8,2,6,5,1,4,7]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[6,2,7,8,5,1,3,4]=>([(0,7),(1,6),(2,3),(2,6),(2,7),(6,4),(7,5)],8)
[5,2,7,6,8,1,3,4]=>([(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(5,3),(6,4),(7,4)],8)
[4,2,7,6,5,1,3,8]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[2,8,7,6,5,1,3,4]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(7,6)],8)
[6,5,4,3,1,7,8,2]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,7),(7,6)],8)
[6,4,7,3,1,5,8,2]=>([(0,7),(1,5),(2,5),(2,7),(3,4),(3,7),(5,6),(7,6)],8)
[5,4,7,3,1,8,6,2]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(5,6)],8)
[6,4,3,7,1,5,8,2]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(6,5),(7,5)],8)
[5,4,3,6,1,8,7,2]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(7,5),(7,6)],8)
[6,3,7,8,1,4,5,2]=>([(0,6),(1,6),(1,7),(2,3),(2,7),(6,4),(7,5)],8)
[5,3,7,6,1,4,8,2]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6),(4,7),(5,7),(6,7)],8)
[4,3,7,6,1,5,8,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(4,7),(5,7),(6,7)],8)
[3,8,7,6,1,4,5,2]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(7,5)],8)
[6,5,4,2,1,7,3,8]=>([(0,7),(1,7),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[6,4,7,2,1,5,3,8]=>([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,8,7,2,1,5,3,6]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(5,6),(7,6)],8)
[5,8,3,2,1,4,7,6]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(7,5),(7,6)],8)
[4,8,3,2,1,5,7,6]=>([(0,7),(1,7),(2,7),(3,4),(3,7),(7,5),(7,6)],8)
[5,3,7,2,1,4,8,6]=>([(0,7),(1,7),(2,4),(2,7),(3,4),(3,5),(4,6),(7,5),(7,6)],8)
[3,8,7,2,1,4,5,6]=>([(0,7),(1,7),(2,4),(2,5),(2,7),(6,3),(7,6)],8)
[6,5,2,7,1,4,3,8]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,8,2,6,1,4,3,7]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6),(4,7),(5,7),(6,7)],8)
[6,4,2,7,1,5,3,8]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,4,2,6,1,8,3,7]=>([(0,7),(1,7),(2,4),(2,7),(3,4),(3,5),(4,6),(7,5),(7,6)],8)
[4,3,2,6,1,5,8,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[6,2,7,8,1,4,3,5]=>([(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(5,3),(6,4),(7,4)],8)
[4,2,7,6,1,5,3,8]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[3,2,7,6,1,4,5,8]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[6,5,4,1,8,7,3,2]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[5,8,4,1,6,7,3,2]=>([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(7,6)],8)
[6,4,7,1,5,8,3,2]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(5,7),(6,7)],8)
[5,4,7,1,6,8,3,2]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(5,6),(7,6)],8)
[4,8,7,1,5,6,3,2]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(7,2)],8)
[5,4,3,1,6,8,7,2]=>([(0,7),(1,7),(2,7),(3,4),(3,7),(7,5),(7,6)],8)
[4,8,3,1,5,6,7,2]=>([(0,7),(1,5),(1,7),(2,4),(2,7),(6,3),(7,6)],8)
[3,8,7,1,5,4,6,2]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(6,5),(7,5)],8)
[5,8,2,1,6,4,3,7]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(4,7),(5,7),(6,7)],8)
[6,3,2,1,5,4,8,7]=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,2,1,6,4,8,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[3,8,2,1,5,4,6,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(5,4),(6,5),(7,5)],8)
[6,2,7,1,5,4,3,8]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[5,2,7,1,6,4,3,8]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[4,2,7,1,5,6,3,8]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[3,2,7,1,5,4,6,8]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(4,5),(6,4),(7,4)],8)
[2,8,7,1,5,4,3,6]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(4,7),(5,7),(6,7)],8)
[6,5,1,7,8,4,3,2]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(2,7),(7,6)],8)
[5,8,1,6,7,4,3,2]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(7,5)],8)
[6,4,1,7,5,8,3,2]=>([(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(5,6),(7,6)],8)
[5,4,1,6,7,8,3,2]=>([(0,7),(1,7),(2,4),(2,5),(2,7),(6,3),(7,6)],8)
[4,8,1,6,5,7,3,2]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(6,5),(7,5)],8)
[6,3,1,7,5,4,8,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[5,3,1,6,7,4,8,2]=>([(0,7),(1,5),(1,7),(2,3),(2,5),(2,7),(4,6),(5,6),(7,4)],8)
[4,3,1,6,5,7,8,2]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(5,4),(6,5),(7,5)],8)
[3,8,1,6,5,4,7,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(4,7),(5,7),(6,7)],8)
[5,2,1,6,7,4,3,8]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[4,2,1,6,5,7,3,8]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(4,5),(6,4),(7,4)],8)
[2,8,1,6,5,4,3,7]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,7)],8)
[6,1,7,8,5,4,3,2]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(7,6)],8)
[4,1,7,6,5,8,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(4,7),(5,7),(6,7)],8)
[3,1,7,6,5,4,8,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,7)],8)
[4,5,8,1,2,6,3,7]=>([(0,4),(1,5),(3,7),(4,2),(4,6),(5,3),(5,6),(6,7)],8)
[1,4,5,7,2,6,3,8]=>([(0,4),(0,5),(1,7),(2,7),(3,2),(3,6),(4,3),(5,1),(5,6),(6,7)],8)
[1,7,3,5,6,2,4,8]=>([(0,2),(0,3),(0,5),(1,7),(2,7),(3,6),(4,1),(5,4),(5,6),(6,7)],8)
[8,1,3,5,7,2,4,6]=>([(1,3),(1,5),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7)],8)
[3,6,8,1,7,2,4,5]=>([(0,5),(0,7),(1,4),(1,6),(4,7),(5,3),(5,6),(7,2)],8)
[3,4,5,6,8,1,7,2]=>([(0,6),(1,3),(1,7),(4,5),(5,2),(5,7),(6,4)],8)
[4,5,8,2,6,7,1,3]=>([(0,6),(1,6),(1,7),(2,4),(4,5),(4,7),(7,3)],8)
[8,2,3,5,6,7,1,4]=>([(1,7),(2,6),(4,5),(5,3),(6,4),(6,7)],8)
[1,7,2,3,5,4,6,8]=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,5),(5,1),(5,2),(6,7)],8)
[8,1,2,3,5,4,6,7]=>([(1,5),(2,7),(3,7),(5,6),(6,2),(6,3),(7,4)],8)
[2,7,8,1,3,5,4,6]=>([(0,7),(1,5),(1,7),(3,6),(4,6),(5,2),(7,3),(7,4)],8)
[2,7,8,3,5,6,1,4]=>([(0,7),(1,5),(1,6),(4,2),(5,3),(6,4),(6,7)],8)
[2,4,5,7,8,1,6,3]=>([(0,6),(0,7),(1,4),(1,7),(3,2),(4,5),(5,3),(5,6)],8)
[4,5,8,1,7,6,3,2]=>([(0,5),(1,3),(1,4),(1,6),(1,7),(5,2),(5,6),(5,7)],8)
[4,5,8,7,2,1,6,3]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8)
[8,7,3,5,6,2,1,4]=>([(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,7,2,1,3,5,4,6]=>([(2,6),(3,6),(4,7),(5,7),(6,4),(6,5)],8)
[3,6,8,7,2,1,5,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5)],8)
[8,6,4,1,7,5,3,2]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[7,6,4,3,1,8,5,2]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[2,3,6,7,8,1,5,4]=>([(0,6),(0,7),(1,5),(3,4),(4,2),(5,3),(5,6),(5,7)],8)
[3,6,8,1,2,5,4,7]=>([(0,3),(1,4),(1,5),(1,6),(3,5),(3,6),(4,2),(4,7),(5,7),(6,7)],8)
[1,3,6,7,2,5,4,8]=>([(0,2),(0,4),(1,7),(2,5),(2,6),(3,1),(4,3),(4,5),(4,6),(5,7),(6,7)],8)
[7,4,1,8,5,2,3,6]=>([(0,7),(1,5),(1,7),(2,3),(2,5),(2,7),(3,4),(4,6),(5,6)],8)
[7,1,4,2,8,3,6,5]=>([(0,7),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,2),(4,7)],8)
[7,1,8,2,5,3,6,4]=>([(0,7),(1,5),(1,7),(3,6),(4,2),(4,6),(5,3),(5,4)],8)
[8,1,7,5,4,2,3,6]=>([(1,2),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,3)],8)
[1,7,2,6,5,4,3,8]=>([(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4)],8)
[1,7,6,3,2,5,4,8]=>([(0,1),(0,2),(0,3),(0,4),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,6,3,1,2,5,4,7]=>([(1,7),(2,5),(2,6),(3,4),(4,5),(4,6),(5,7),(6,7)],8)
[8,1,7,6,3,2,4,5]=>([(1,2),(1,3),(1,4),(1,5),(4,7),(5,7),(7,6)],8)
[8,2,5,7,6,3,1,4]=>([(1,7),(2,5),(2,6),(5,7),(6,3),(6,4)],8)
[3,6,8,1,7,5,4,2]=>([(0,3),(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(4,2),(4,5)],8)
[8,2,6,7,5,4,1,3]=>([(1,7),(2,4),(2,5),(2,6),(2,7),(6,3)],8)
[2,7,8,6,3,1,5,4]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(4,6),(4,7),(5,2)],8)
[2,7,8,1,6,5,4,3]=>([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(3,2)],8)
[7,3,1,8,6,5,4,2]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[8,7,2,1,6,5,4,3]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[8,7,6,3,2,1,5,4]=>([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,8,6,3,7,4,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(6,4),(7,2),(7,4)],8)
[8,6,1,5,2,7,4,3]=>([(1,7),(2,5),(2,6),(5,7),(6,3),(6,4),(6,7)],8)
[8,5,1,7,4,2,6,3]=>([(1,6),(1,7),(2,3),(2,4),(2,6),(3,7),(4,5),(4,7)],8)
[2,1,7,5,4,3,8,6]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,7,8,3,6,5,4]=>([(0,6),(0,7),(1,6),(1,7),(6,5),(7,2),(7,3),(7,4)],8)
[2,1,4,8,5,7,3,6]=>([(0,6),(0,7),(1,6),(1,7),(4,3),(4,5),(6,5),(7,2),(7,4)],8)
[8,5,3,1,6,2,4,7]=>([(1,7),(2,6),(2,7),(3,4),(3,7),(4,6),(6,5),(7,5)],8)
[6,4,1,5,2,3,8,7]=>([(0,6),(0,7),(1,5),(2,3),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,7,5,2,6,1,4]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(5,6)],8)
[5,3,7,4,6,8,1,2]=>([(0,5),(0,7),(1,3),(2,4),(2,5),(4,7),(5,6),(7,6)],8)
[5,8,3,7,6,2,1,4]=>([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6)],8)
[4,2,6,3,8,5,1,7]=>([(0,7),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,7),(6,7)],8)
[3,8,2,4,7,5,1,6]=>([(0,7),(1,6),(2,3),(2,6),(5,7),(6,4),(6,5)],8)
[5,8,2,1,7,6,4,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7)],8)
[8,3,2,4,1,7,5,6]=>([(1,6),(1,7),(2,5),(3,5),(5,6),(5,7),(7,4)],8)
[7,8,3,1,5,4,6,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6),(5,7),(6,7)],8)
[7,2,8,1,4,6,5,3]=>([(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(7,3),(7,4)],8)
[5,6,1,4,3,2,8,7]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,1,8,3,6,2,4]=>([(0,4),(0,7),(1,2),(1,3),(1,6),(2,5),(3,5),(3,7),(4,6)],8)
[6,8,1,4,5,3,2,7]=>([(0,5),(0,7),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(6,2)],8)
[8,2,6,1,4,7,3,5]=>([(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(6,4),(7,4),(7,5)],8)
[8,3,5,6,1,7,4,2]=>([(1,4),(1,6),(2,3),(2,6),(2,7),(4,5),(5,7)],8)
[6,3,5,4,1,2,8,7]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,3,6,5,1,4,2]=>([(2,6),(2,7),(3,4),(3,5),(3,7)],8)
[2,7,4,3,6,1,8,5]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7)],8)
[3,4,7,2,8,1,5,6]=>([(0,7),(1,6),(1,7),(2,3),(3,5),(3,7),(5,6),(7,4)],8)
[4,2,3,5,8,1,6,7]=>([(0,7),(1,6),(2,3),(3,7),(6,5),(7,4),(7,6)],8)
[3,8,4,7,1,6,5,2]=>([(0,4),(0,6),(0,7),(1,3),(1,5),(5,2),(5,6),(5,7)],8)
[3,2,4,6,1,5,8,7]=>([(0,7),(1,6),(2,6),(3,4),(3,5),(6,3),(6,7),(7,4),(7,5)],8)
[8,3,4,5,7,6,1,2]=>([(1,5),(2,6),(6,7),(7,3),(7,4)],8)
[3,2,4,5,6,8,1,7]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(5,7),(6,3)],8)
[5,6,8,1,4,2,7,3]=>([(0,6),(1,4),(1,5),(4,7),(5,3),(5,7),(6,2),(6,7)],8)
[1,5,7,8,4,6,2,3]=>([(0,3),(0,5),(0,6),(3,7),(4,1),(5,2),(6,4),(6,7)],8)
[1,3,5,7,8,6,2,4]=>([(0,3),(0,5),(3,7),(4,2),(5,6),(5,7),(6,1),(6,4)],8)
[3,5,7,8,6,1,2,4]=>([(0,4),(1,6),(1,7),(4,7),(5,3),(6,2),(6,5)],8)
[3,5,1,6,8,2,7,4]=>([(0,3),(0,6),(1,4),(1,7),(3,7),(4,5),(4,6),(7,2),(7,5)],8)
[3,1,5,6,8,2,7,4]=>([(0,6),(0,7),(1,3),(1,7),(3,5),(3,6),(4,2),(4,5),(7,4)],8)
[2,3,5,6,8,1,7,4]=>([(0,6),(0,7),(1,5),(3,4),(4,2),(4,6),(5,3),(5,7)],8)
[5,6,4,8,2,1,7,3]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(4,6),(4,7)],8)
[5,1,6,3,8,4,7,2]=>([(0,7),(1,2),(1,4),(1,7),(3,5),(4,3),(4,6),(7,5),(7,6)],8)
[2,5,1,6,8,3,7,4]=>([(0,6),(0,7),(1,2),(1,7),(2,6),(6,3),(6,5),(7,4),(7,5)],8)
[5,1,2,6,8,3,7,4]=>([(0,7),(1,4),(4,5),(4,7),(5,2),(5,6),(7,3),(7,6)],8)
[5,7,1,8,6,2,3,4]=>([(0,3),(0,7),(1,5),(1,6),(1,7),(3,6),(4,2),(5,4)],8)
[1,5,2,7,8,6,3,4]=>([(0,3),(0,5),(3,6),(3,7),(4,2),(5,4),(5,6),(5,7),(7,1)],8)
[1,6,7,5,2,8,3,4]=>([(0,3),(0,5),(0,6),(2,7),(3,7),(4,1),(5,2),(6,4),(6,7)],8)
[6,1,7,5,2,8,3,4]=>([(0,6),(1,3),(1,5),(1,6),(3,7),(4,2),(5,4),(5,7),(6,7)],8)
[2,6,7,5,1,8,3,4]=>([(0,6),(0,7),(1,3),(1,5),(1,6),(2,7),(3,7),(5,2),(6,4)],8)
[5,7,2,8,6,1,3,4]=>([(0,6),(1,5),(1,6),(1,7),(2,4),(2,5),(4,7),(6,3)],8)
[3,5,7,8,6,2,1,4]=>([(0,7),(1,7),(2,6),(2,7),(5,4),(6,3),(6,5)],8)
[5,1,7,8,6,3,4,2]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(5,3),(7,2)],8)
[5,1,3,7,8,6,4,2]=>([(0,6),(0,7),(1,4),(1,5),(5,3),(5,6),(5,7),(7,2)],8)
[5,2,7,8,4,6,1,3]=>([(0,6),(0,7),(1,5),(2,4),(2,5),(2,6),(4,7),(6,3)],8)
[3,2,5,7,8,6,1,4]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(4,5),(6,3),(6,4)],8)
[6,2,7,5,1,8,3,4]=>([(0,6),(0,7),(1,5),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3)],8)
[1,2,6,7,5,8,3,4]=>([(0,6),(2,7),(3,7),(4,3),(5,1),(6,2),(6,4),(6,5)],8)
[6,2,7,5,4,1,8,3]=>([(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(6,7)],8)
[6,7,5,2,4,1,8,3]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(4,7),(5,7)],8)
[6,7,2,5,3,8,1,4]=>([(0,6),(1,4),(2,3),(2,5),(3,7),(4,7),(5,6),(5,7)],8)
[6,7,4,5,2,1,8,3]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,7),(5,7)],8)
[5,1,7,8,6,4,3,2]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8)
[2,5,7,8,6,3,1,4]=>([(0,7),(1,4),(1,6),(4,7),(5,3),(6,2),(6,5)],8)
[5,1,7,8,6,3,2,4]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(3,5),(4,5),(7,2)],8)
[6,3,7,5,1,8,2,4]=>([(0,5),(1,3),(1,7),(2,4),(2,5),(2,6),(3,6),(4,7),(5,7)],8)
[1,6,7,5,3,8,2,4]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(4,7),(5,1)],8)
[1,6,7,5,4,2,8,3]=>([(0,3),(0,4),(0,5),(0,6),(2,7),(3,7),(4,7),(5,2),(6,1),(6,7)],8)
[6,7,5,1,4,2,8,3]=>([(0,7),(1,5),(2,4),(2,6),(4,7),(5,7),(6,3),(6,7)],8)
[5,7,8,6,4,1,2,3]=>([(1,7),(2,5),(2,6),(6,4),(7,3)],8)
[4,1,7,2,6,5,8,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,2),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[2,4,7,1,5,6,8,3]=>([(0,6),(0,7),(1,4),(1,6),(2,5),(3,5),(4,3),(4,7),(7,2)],8)
[6,7,4,1,5,2,8,3]=>([(0,6),(1,3),(2,4),(2,6),(3,7),(4,5),(4,7),(6,7)],8)
[1,6,7,4,5,2,8,3]=>([(0,4),(0,5),(0,6),(2,7),(3,7),(4,3),(5,2),(6,1),(6,7)],8)
[1,6,3,7,5,8,2,4]=>([(0,2),(0,3),(0,4),(1,7),(2,5),(3,6),(4,1),(4,5),(4,6),(6,7)],8)
[6,3,1,7,5,8,2,4]=>([(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,7),(3,6),(4,5),(7,5)],8)
[2,5,3,7,8,6,1,4]=>([(0,6),(1,3),(1,4),(3,5),(3,7),(4,5),(4,6),(4,7),(7,2)],8)
[6,7,5,4,2,1,8,3]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,7)],8)
[6,3,2,7,5,8,1,4]=>([(0,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(7,5)],8)
[6,7,4,2,5,1,8,3]=>([(0,6),(1,5),(1,7),(2,5),(2,6),(3,4),(4,7),(6,7)],8)
[6,2,7,4,5,1,8,3]=>([(0,6),(1,5),(1,7),(2,3),(2,5),(2,6),(3,4),(4,7),(6,7)],8)
[6,2,3,7,5,8,1,4]=>([(0,6),(1,7),(2,3),(3,4),(3,6),(3,7),(4,5),(7,5)],8)
[7,5,1,6,3,8,2,4]=>([(0,7),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(4,7),(5,7)],8)
[2,7,6,1,3,8,5,4]=>([(0,6),(1,2),(1,3),(1,6),(2,7),(3,7),(6,4),(6,5),(6,7)],8)
[7,3,5,1,8,2,6,4]=>([(0,7),(1,4),(1,7),(2,3),(2,5),(3,6),(3,7),(4,5),(4,6)],8)
[7,3,5,1,8,2,4,6]=>([(0,7),(1,4),(1,7),(2,3),(2,5),(3,6),(3,7),(4,5),(5,6)],8)
[3,7,5,1,8,6,2,4]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(2,7),(3,6),(3,7),(4,5)],8)
[2,6,7,4,1,8,3,5]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(2,7),(3,5),(3,7),(4,2),(6,5)],8)
[2,1,6,7,3,8,5,4]=>([(0,6),(0,7),(1,6),(1,7),(4,5),(6,4),(7,2),(7,3),(7,5)],8)
[3,6,5,1,8,4,7,2]=>([(0,4),(0,5),(0,7),(1,2),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(5,6)],8)
[3,6,5,1,8,4,2,7]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(4,7),(5,7)],8)
[3,7,5,4,8,1,6,2]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(2,6),(3,6),(3,7),(4,6),(4,7)],8)
[4,6,1,5,8,7,3,2]=>([(0,4),(0,7),(1,2),(1,3),(1,7),(4,5),(4,6),(7,5),(7,6)],8)
[7,5,1,6,2,8,4,3]=>([(0,7),(1,6),(2,3),(2,6),(3,4),(3,5),(3,7),(6,7)],8)
[2,3,4,7,8,1,6,5]=>([(0,6),(0,7),(1,4),(3,2),(4,5),(5,3),(5,6),(5,7)],8)
[6,8,5,4,3,2,7,1]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7)],8)
[6,8,5,4,3,7,2,1]=>([(2,7),(3,7),(4,7),(5,6),(5,7)],8)
[5,8,4,3,2,1,7,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,5,4,3,1,8,7,2]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,7,5,4,3,1,6,2]=>([(2,7),(3,7),(4,7),(5,6),(5,7)],8)
[8,3,4,6,2,1,5,7]=>([(1,7),(2,7),(3,4),(4,5),(4,7),(5,6),(7,6)],8)
[3,5,6,2,1,8,4,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,4),(4,5),(4,6),(7,5)],8)
[3,5,2,6,8,4,1,7]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(3,6),(5,7),(6,4),(6,7)],8)
[7,5,3,2,8,4,1,6]=>([(0,7),(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[7,5,3,2,8,4,6,1]=>([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[2,4,5,7,3,8,6,1]=>([(1,3),(1,4),(2,6),(3,6),(3,7),(4,5),(5,2),(5,7)],8)
[4,2,5,6,8,3,1,7]=>([(0,7),(1,6),(2,3),(2,6),(3,7),(4,5),(4,7),(6,4)],8)
[4,2,8,1,5,6,3,7]=>([(0,4),(0,7),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(5,6),(7,3)],8)
[2,5,6,1,8,4,3,7]=>([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,6,8,1,4,2,7]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(4,7),(5,7),(6,3),(6,7)],8)
[4,5,6,8,1,3,2,7]=>([(0,6),(1,3),(1,4),(3,7),(4,7),(5,2),(5,7),(6,5)],8)
[1,4,5,6,8,3,2,7]=>([(0,2),(0,3),(0,6),(2,7),(3,7),(4,5),(5,1),(5,7),(6,4)],8)
[4,5,6,3,8,2,1,7]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)
[4,5,3,7,2,8,6,1]=>([(1,6),(1,7),(2,5),(2,7),(3,4),(4,6),(4,7),(6,5)],8)
[6,4,7,3,2,8,5,1]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(4,6),(5,7)],8)
[6,1,4,7,3,2,8,5]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[1,7,8,4,5,3,2,6]=>([(0,3),(0,4),(0,5),(0,6),(2,7),(3,7),(4,7),(5,1),(6,2)],8)
[5,1,7,3,8,4,2,6]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(2,7),(3,7),(4,2),(4,5),(6,5)],8)
[2,5,1,7,4,3,8,6]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,7,4,1,8,6,3]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(2,6),(3,6),(3,7),(4,2),(4,7)],8)
[5,3,7,1,4,8,6,2]=>([(0,3),(0,7),(1,5),(1,6),(2,6),(2,7),(6,4),(7,4),(7,5)],8)
[6,4,3,1,7,8,5,2]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(7,5)],8)
[6,4,1,7,3,8,5,2]=>([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(4,5),(4,6),(7,6)],8)
[5,6,3,7,8,4,2,1]=>([(2,5),(3,4),(3,7),(5,7),(7,6)],8)
[5,1,6,3,7,8,4,2]=>([(0,6),(1,4),(1,5),(1,6),(5,3),(5,7),(6,7),(7,2)],8)
[5,6,1,3,7,8,4,2]=>([(0,5),(1,3),(1,6),(5,7),(6,2),(6,7),(7,4)],8)
[5,6,1,7,8,3,4,2]=>([(0,5),(1,3),(1,6),(1,7),(5,7),(6,2),(7,4)],8)
[1,6,3,7,4,8,5,2]=>([(0,2),(0,3),(0,5),(3,6),(4,1),(4,7),(5,4),(5,6),(6,7)],8)
[6,7,2,4,1,8,5,3]=>([(0,5),(0,6),(0,7),(1,3),(2,4),(2,5),(3,7),(4,6),(4,7)],8)
[6,7,2,1,4,3,8,5]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,7,3,1,2,8,5]=>([(0,6),(0,7),(1,5),(2,5),(2,6),(3,4),(4,6),(4,7),(5,7)],8)
[5,6,3,1,2,7,8,4]=>([(0,6),(0,7),(1,3),(2,5),(3,7),(5,6),(5,7),(7,4)],8)
[5,6,1,3,2,7,8,4]=>([(0,5),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(5,7),(7,2)],8)
[5,6,3,2,1,7,8,4]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,7),(7,5)],8)
[2,5,6,3,7,8,4,1]=>([(1,5),(1,6),(3,7),(5,3),(6,2),(6,7),(7,4)],8)
[2,5,6,3,1,7,8,4]=>([(0,6),(0,7),(1,4),(1,5),(2,7),(4,6),(4,7),(5,2),(7,3)],8)
[2,6,4,7,3,1,8,5]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(4,5),(4,6),(5,7)],8)
[6,3,7,2,8,4,5,1]=>([(1,6),(1,7),(2,5),(3,5),(3,7),(5,6),(7,4)],8)
[6,3,7,2,8,4,1,5]=>([(0,7),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,7)],8)
[6,3,2,7,1,8,4,5]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(6,5),(7,4)],8)
[7,5,3,2,1,8,4,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(6,5)],8)
[7,3,8,4,2,1,5,6]=>([(0,7),(1,7),(2,6),(3,4),(3,6),(4,7),(7,5)],8)
[4,7,2,1,3,8,6,5]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(3,6),(7,4),(7,5),(7,6)],8)
[1,3,7,8,6,4,2,5]=>([(0,4),(0,6),(3,7),(4,7),(5,2),(6,1),(6,3),(6,5)],8)
[7,3,8,4,6,2,1,5]=>([(0,7),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7)],8)
[5,7,3,8,2,1,6,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5)],8)
[6,3,7,8,5,2,1,4]=>([(0,7),(1,7),(2,6),(3,4),(3,6),(3,7),(6,5)],8)
[4,6,2,7,8,5,3,1]=>([(1,4),(1,6),(2,3),(2,6),(2,7),(4,7),(7,5)],8)
[4,6,2,1,7,8,5,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(3,7),(7,4)],8)
[7,4,5,8,1,2,6,3]=>([(0,6),(1,3),(2,4),(3,5),(3,7),(4,6),(4,7)],8)
[2,5,1,7,3,8,6,4]=>([(0,3),(0,7),(1,6),(1,7),(3,5),(3,6),(6,4),(7,2),(7,4),(7,5)],8)
[6,7,2,1,3,8,5,4]=>([(0,6),(1,6),(2,3),(3,7),(6,4),(6,5),(6,7)],8)
[5,1,6,7,8,2,4,3]=>([(0,7),(1,6),(1,7),(5,4),(6,2),(6,3),(7,5)],8)
[6,3,7,1,8,5,2,4]=>([(0,7),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,6),(7,4)],8)
[6,2,1,7,3,8,5,4]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(6,3),(6,4),(6,5),(7,5)],8)
[6,2,7,1,8,5,4,3]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[6,3,1,7,8,5,4,2]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(7,4)],8)
[4,1,3,6,8,2,5,7]=>([(0,6),(0,7),(1,3),(1,4),(3,7),(4,6),(4,7),(6,2),(6,5),(7,5)],8)
[4,2,3,6,8,1,5,7]=>([(0,7),(1,6),(1,7),(2,4),(4,6),(4,7),(6,3),(6,5),(7,5)],8)
[5,3,2,1,8,4,7,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(6,4),(6,5)],8)
[3,6,5,8,2,1,7,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7)],8)
[4,5,2,1,3,8,7,6]=>([(0,3),(1,7),(2,7),(3,4),(3,5),(3,6),(7,4),(7,5),(7,6)],8)
[3,2,6,4,5,8,1,7]=>([(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,3)],8)
[2,4,6,5,8,1,3,7]=>([(0,6),(1,4),(1,6),(2,5),(2,7),(3,5),(3,7),(4,2),(4,3),(6,7)],8)
[1,6,2,4,5,8,3,7]=>([(0,3),(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,2),(5,1),(5,4)],8)
[5,3,2,1,6,8,4,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4),(7,5)],8)
[6,2,4,5,8,1,3,7]=>([(0,6),(1,5),(1,7),(2,3),(2,6),(3,4),(4,5),(4,7),(6,7)],8)
[1,3,4,6,5,8,2,7]=>([(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,7),(4,5),(5,1),(5,2)],8)
[1,6,3,4,5,8,2,7]=>([(0,2),(0,3),(0,5),(1,6),(1,7),(2,7),(3,6),(3,7),(4,1),(5,4)],8)
[3,4,1,8,5,2,7,6]=>([(0,3),(1,2),(1,4),(1,7),(2,5),(2,6),(3,4),(3,7),(7,5),(7,6)],8)
[2,8,4,1,7,6,3,5]=>([(0,2),(0,3),(0,7),(1,5),(1,6),(1,7),(3,4),(3,5),(3,6),(7,4)],8)
[8,1,4,2,7,3,6,5]=>([(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,2),(4,7)],8)
[1,5,3,2,8,7,4,6]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8)
[8,2,1,7,5,3,4,6]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(6,3),(7,4)],8)
[1,7,6,4,5,8,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(4,7),(5,7),(6,1)],8)
[5,8,7,4,1,2,6,3]=>([(0,7),(1,6),(2,4),(2,5),(2,7),(6,3),(6,7)],8)
[5,8,7,4,6,2,1,3]=>([(0,6),(1,6),(2,7),(3,4),(3,5),(3,7)],8)
[3,4,2,5,8,6,7,1]=>([(1,7),(2,4),(4,7),(6,3),(7,5),(7,6)],8)
[4,1,3,5,6,8,7,2]=>([(0,7),(1,4),(1,5),(5,7),(6,2),(6,3),(7,6)],8)
[2,4,8,6,7,1,3,5]=>([(0,7),(1,5),(1,7),(4,3),(5,2),(5,4),(5,6),(7,6)],8)
[4,3,6,2,8,1,7,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(4,6)],8)
[3,7,4,8,2,1,6,5]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(4,5),(4,6),(4,7)],8)
[2,3,5,8,6,7,1,4]=>([(0,7),(1,5),(4,3),(5,6),(5,7),(6,2),(6,4)],8)
[3,2,5,6,8,7,1,4]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(6,3)],8)
[2,1,8,5,6,7,3,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(6,4),(7,2)],8)
[1,2,8,3,5,6,7,4]=>([(0,7),(4,5),(5,3),(6,2),(6,4),(7,1),(7,6)],8)
[4,2,3,7,1,8,6,5]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(3,5),(3,6),(3,7),(5,4)],8)
[3,2,6,4,8,1,7,5]=>([(0,4),(0,7),(1,5),(1,6),(2,5),(2,6),(5,3),(5,7),(6,3),(6,4),(6,7)],8)
[8,2,1,6,7,3,4,5]=>([(1,6),(1,7),(2,6),(2,7),(4,5),(6,3),(7,4)],8)
[2,7,8,5,4,1,3,6]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,2),(6,7)],8)
[1,7,5,3,8,4,2,6]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,6),(4,7),(5,1),(5,7)],8)
[4,7,5,3,1,2,8,6]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,4,8,5,3,1,6]=>([(0,7),(1,6),(2,3),(2,4),(3,7),(4,5),(4,6),(5,7)],8)
[4,8,3,1,2,7,6,5]=>([(0,5),(0,6),(0,7),(1,4),(2,3),(2,5),(2,6),(2,7),(4,5),(4,6),(4,7)],8)
[3,5,2,7,4,1,8,6]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
[8,4,2,3,7,1,5,6]=>([(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)
[2,8,4,7,1,3,5,6]=>([(0,6),(1,4),(1,5),(1,6),(5,3),(5,7),(6,7),(7,2)],8)
[8,2,4,6,7,1,3,5]=>([(1,6),(2,3),(2,6),(3,5),(3,7),(5,4),(6,7)],8)
[4,8,2,3,6,7,1,5]=>([(0,7),(1,4),(2,3),(2,6),(2,7),(4,6),(4,7),(6,5)],8)
[3,5,2,7,6,1,8,4]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(4,7),(5,7)],8)
[1,6,3,2,5,8,7,4]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(7,4),(7,5)],8)
[5,8,3,2,1,6,7,4]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(7,5)],8)
[5,8,7,3,4,6,2,1]=>([(2,6),(3,4),(3,5),(3,7),(6,7)],8)
[5,8,2,7,4,1,6,3]=>([(0,6),(0,7),(1,3),(1,5),(1,7),(2,4),(2,5),(2,6),(4,7)],8)
[5,1,4,2,8,7,6,3]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(3,5),(3,6),(3,7),(4,2),(4,5),(4,6),(4,7)],8)
[4,7,6,5,8,2,1,3]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7)],8)
[5,3,7,1,6,2,8,4]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,5),(3,7),(4,7),(6,7)],8)
[5,2,6,8,7,1,3,4]=>([(0,7),(1,6),(2,6),(2,7),(6,5),(7,3),(7,4)],8)
[6,3,2,1,8,5,7,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(6,4)],8)
[2,7,5,4,1,8,6,3]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7)],8)
[4,2,5,6,8,7,1,3]=>([(0,6),(1,7),(2,6),(2,7),(3,4),(3,5),(7,3)],8)
[1,8,4,2,5,6,7,3]=>([(0,3),(0,4),(0,6),(4,7),(5,2),(6,1),(6,7),(7,5)],8)
[3,8,4,1,5,6,7,2]=>([(0,5),(0,7),(1,3),(1,4),(4,7),(6,2),(7,6)],8)
[4,2,8,5,6,7,1,3]=>([(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(7,3)],8)
[5,2,4,7,1,8,6,3]=>([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(3,6),(3,7),(6,5)],8)
[5,3,4,7,1,8,6,2]=>([(0,6),(0,7),(1,4),(2,3),(2,5),(2,7),(4,6),(4,7),(6,5)],8)
[8,6,4,1,3,2,5,7]=>([(1,7),(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[8,1,3,6,5,2,4,7]=>([(1,4),(1,5),(2,7),(3,7),(4,6),(5,2),(5,3),(5,6),(6,7)],8)
[8,1,4,3,6,5,2,7]=>([(1,2),(1,3),(1,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[3,6,5,2,1,8,7,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[8,3,2,4,6,5,1,7]=>([(1,7),(2,6),(3,6),(4,7),(5,7),(6,4),(6,5)],8)
[8,4,2,1,6,5,3,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[8,4,1,2,6,5,3,7]=>([(1,5),(1,6),(2,3),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[8,6,4,2,1,5,3,7]=>([(1,7),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,3,6,4,1,5,2,7]=>([(1,4),(1,6),(2,3),(2,5),(3,7),(4,7),(5,6),(6,7)],8)
[8,2,6,3,4,5,1,7]=>([(1,7),(2,4),(2,6),(3,7),(4,7),(5,3),(6,5)],8)
[1,3,4,8,5,7,2,6]=>([(0,3),(0,5),(3,7),(4,2),(4,7),(5,6),(6,1),(6,4)],8)
[5,8,4,7,6,2,3,1]=>([(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8)
[1,3,4,7,5,8,2,6]=>([(0,3),(0,4),(1,6),(2,6),(2,7),(3,7),(4,5),(5,1),(5,2)],8)
[1,3,5,2,4,8,7,6]=>([(0,1),(0,2),(1,7),(2,3),(2,7),(3,4),(3,5),(3,6),(7,4),(7,5),(7,6)],8)
[2,6,5,1,3,8,7,4]=>([(0,5),(1,2),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(5,4),(5,6),(5,7)],8)
[4,7,1,6,5,8,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(4,7),(5,7),(6,7)],8)
[5,4,8,7,6,3,1,2]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4)],8)
[2,8,5,1,4,7,6,3]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(3,4),(3,5),(7,4),(7,5)],8)
[4,3,1,5,8,6,7,2]=>([(0,7),(1,7),(2,4),(2,7),(6,3),(7,5),(7,6)],8)
[4,1,3,5,8,6,7,2]=>([(0,7),(1,3),(1,4),(4,7),(6,2),(7,5),(7,6)],8)
[6,5,3,8,4,7,1,2]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(3,5),(3,6),(5,7)],8)
[5,4,2,1,6,8,7,3]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(7,4),(7,5)],8)
[6,8,4,3,2,7,1,5]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7)],8)
[3,4,7,8,2,1,6,5]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4)],8)
[5,1,3,2,8,6,7,4]=>([(0,6),(0,7),(1,3),(1,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,2)],8)
[5,3,1,2,8,6,7,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)
[5,2,3,1,6,8,7,4]=>([(0,7),(1,6),(1,7),(2,5),(5,6),(5,7),(7,3),(7,4)],8)
[5,3,2,1,8,6,7,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[5,2,1,3,6,8,7,4]=>([(0,7),(1,6),(2,6),(6,5),(6,7),(7,3),(7,4)],8)
[2,4,7,3,8,1,6,5]=>([(0,6),(0,7),(1,3),(1,4),(2,5),(3,5),(3,6),(3,7),(4,2),(4,6),(4,7)],8)
[6,3,8,2,7,4,1,5]=>([(0,6),(1,4),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(5,6)],8)
[8,2,1,3,6,4,7,5]=>([(1,6),(2,6),(3,7),(4,5),(4,7),(6,3),(6,4)],8)
[3,5,1,7,8,4,2,6]=>([(0,4),(0,5),(1,3),(1,5),(1,6),(3,7),(4,6),(4,7),(5,7),(6,2)],8)
[2,7,4,5,8,3,1,6]=>([(0,7),(1,2),(1,3),(1,5),(2,7),(3,6),(4,6),(4,7),(5,4)],8)
[1,8,4,3,7,2,6,5]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,4,8,7,2,1,6,5]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[5,4,7,8,3,6,2,1]=>([(2,7),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[6,4,3,8,7,2,1,5]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,3,8,7,4,1,2,5]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6),(3,7),(4,7)],8)
[3,5,7,2,4,8,1,6]=>([(0,7),(1,5),(2,3),(2,5),(3,4),(3,7),(4,6),(5,6),(5,7)],8)
[8,4,7,2,3,1,5,6]=>([(1,7),(2,5),(3,4),(3,7),(5,7),(7,6)],8)
[8,4,7,1,3,2,5,6]=>([(1,3),(1,7),(2,4),(2,5),(4,7),(5,7),(7,6)],8)
[8,4,7,2,1,3,5,6]=>([(1,6),(2,6),(3,5),(3,7),(6,7),(7,4)],8)
[8,6,4,2,1,3,7,5]=>([(1,7),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8)
[8,6,4,1,3,2,7,5]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,4,2,3,1,7,5]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[3,5,7,2,6,1,8,4]=>([(0,6),(0,7),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(4,7),(5,7)],8)
[6,1,3,8,5,7,2,4]=>([(0,6),(0,7),(1,2),(1,4),(2,5),(3,6),(4,3),(4,5),(4,7)],8)
[5,8,3,2,6,7,1,4]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(7,4)],8)
[4,8,5,3,6,2,7,1]=>([(1,7),(2,6),(3,4),(3,5),(5,7),(7,6)],8)
[2,8,1,5,4,7,6,3]=>([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(6,3),(6,4),(7,3),(7,4)],8)
[1,5,8,7,4,6,2,3]=>([(0,4),(0,5),(0,6),(4,7),(5,3),(6,1),(6,2),(6,7)],8)
[2,1,7,6,4,5,8,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,7),(4,7),(5,7),(6,2)],8)
[1,7,2,4,6,5,8,3]=>([(0,4),(0,6),(2,7),(3,7),(4,7),(5,2),(5,3),(6,1),(6,5)],8)
[3,5,1,7,6,8,2,4]=>([(0,3),(0,5),(1,2),(1,6),(1,7),(2,5),(3,6),(3,7),(6,4),(7,4)],8)
[5,8,2,6,1,3,7,4]=>([(0,7),(1,5),(1,7),(2,4),(2,5),(5,6),(7,3),(7,6)],8)
[6,3,5,8,7,2,1,4]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6)],8)
[2,5,7,8,4,1,6,3]=>([(0,6),(0,7),(1,3),(1,5),(1,6),(3,7),(4,2),(5,4),(5,7)],8)
[4,2,8,1,5,6,7,3]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(7,3)],8)
[4,1,5,2,6,8,7,3]=>([(0,6),(1,5),(1,6),(5,4),(5,7),(6,7),(7,2),(7,3)],8)
[3,4,5,1,6,8,7,2]=>([(0,6),(1,5),(1,7),(2,7),(6,2),(7,3),(7,4)],8)
[4,2,8,5,1,6,7,3]=>([(0,4),(0,6),(1,5),(1,7),(2,4),(2,5),(2,7),(6,3),(7,6)],8)
[4,1,8,5,2,6,7,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(4,3),(4,7),(6,7),(7,2)],8)
[2,7,1,8,5,4,6,3]=>([(0,2),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(6,3),(7,3)],8)
[5,8,6,2,1,3,7,4]=>([(0,6),(1,6),(2,3),(2,4),(4,7),(6,5),(6,7)],8)
[8,2,4,1,5,6,7,3]=>([(1,6),(1,7),(2,3),(2,6),(3,7),(4,5),(7,4)],8)
[4,6,3,5,8,1,7,2]=>([(0,5),(1,3),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,8,3,5,4,6,2]=>([(0,4),(0,5),(0,6),(2,7),(3,7),(5,1),(6,2),(6,3)],8)
[3,4,5,1,8,6,7,2]=>([(0,5),(1,4),(1,6),(1,7),(3,6),(3,7),(5,3),(7,2)],8)
[3,8,1,4,5,6,7,2]=>([(0,4),(0,7),(1,3),(1,7),(5,2),(6,5),(7,6)],8)
[3,4,5,7,8,2,6,1]=>([(1,7),(2,5),(4,3),(5,6),(6,4),(6,7)],8)
[3,4,6,2,8,5,1,7]=>([(0,7),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5),(4,7),(6,7)],8)
[3,4,6,8,1,5,2,7]=>([(0,5),(1,3),(1,6),(3,7),(4,2),(4,7),(5,4),(5,6),(6,7)],8)
[3,4,7,2,1,8,6,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(3,6),(3,7),(4,5)],8)
[3,4,8,2,1,5,6,7]=>([(0,7),(1,7),(2,5),(5,4),(5,7),(6,3),(7,6)],8)
[3,5,2,7,8,4,6,1]=>([(1,5),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(7,3)],8)
[3,5,6,2,8,4,1,7]=>([(0,7),(1,5),(1,6),(2,3),(2,6),(3,4),(4,5),(4,7),(6,7)],8)
[3,5,6,8,4,1,2,7]=>([(0,4),(1,3),(1,5),(3,7),(4,7),(5,6),(6,2),(6,7)],8)
[3,5,7,2,4,8,6,1]=>([(1,5),(2,3),(2,5),(3,4),(3,7),(4,6),(5,6),(5,7)],8)
[3,5,7,2,8,4,6,1]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,7),(4,6),(5,7)],8)
[3,5,7,8,4,1,6,2]=>([(0,4),(0,7),(1,3),(1,6),(3,7),(5,2),(6,5),(6,7)],8)
[3,6,2,1,8,5,4,7]=>([(0,3),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(6,4),(7,4)],8)
[3,6,7,2,8,5,4,1]=>([(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(4,7)],8)
[3,6,8,2,4,5,1,7]=>([(0,7),(1,6),(2,3),(2,6),(3,5),(3,7),(4,7),(6,4)],8)
[3,7,2,1,4,8,6,5]=>([(0,7),(1,7),(2,5),(2,7),(5,6),(7,3),(7,4),(7,6)],8)
[3,7,2,8,4,5,6,1]=>([(1,6),(1,7),(2,3),(2,6),(3,7),(4,5),(6,4)],8)
[3,8,2,1,4,5,6,7]=>([(0,7),(1,7),(2,4),(2,7),(5,3),(6,5),(7,6)],8)
[4,1,5,6,7,8,3,2]=>([(0,7),(1,3),(1,4),(1,7),(5,2),(6,5),(7,6)],8)
[4,1,5,7,3,8,6,2]=>([(0,7),(1,2),(1,4),(1,7),(3,5),(4,5),(4,6),(7,3),(7,6)],8)
[4,1,6,3,7,8,5,2]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(4,5),(4,7),(6,7),(7,2)],8)
[4,1,6,3,8,5,2,7]=>([(0,2),(0,3),(0,6),(1,5),(1,6),(2,7),(3,4),(3,5),(5,7),(6,4),(6,7)],8)
[4,1,6,7,3,8,5,2]=>([(0,6),(0,7),(1,2),(1,4),(1,7),(3,5),(4,5),(4,6),(7,3)],8)
[4,1,6,8,3,5,2,7]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(3,7),(4,5),(5,7),(6,2),(6,7)],8)
[4,1,7,3,2,8,6,5]=>([(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7)],8)
[4,1,8,3,2,5,6,7]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(3,7),(4,7),(5,2),(7,5)],8)
[4,5,2,6,8,1,3,7]=>([(0,5),(1,5),(1,7),(2,3),(3,7),(5,6),(7,4),(7,6)],8)
[4,5,7,3,8,1,6,2]=>([(0,6),(0,7),(1,4),(2,3),(2,7),(4,5),(4,7),(5,6)],8)
[4,5,8,3,2,1,6,7]=>([(0,7),(1,7),(2,7),(3,4),(4,6),(4,7),(7,5)],8)
[4,6,2,7,8,5,1,3]=>([(0,5),(1,5),(1,6),(1,7),(2,3),(2,6),(3,7),(7,4)],8)
[4,6,7,3,2,8,5,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(5,7)],8)
[4,7,2,8,3,5,6,1]=>([(1,5),(1,7),(2,3),(2,6),(3,7),(5,6),(7,4)],8)
[4,7,8,3,2,5,6,1]=>([(1,7),(2,7),(3,4),(3,7),(4,6),(7,5)],8)
[4,8,2,3,1,5,6,7]=>([(0,7),(1,5),(2,4),(2,7),(5,7),(6,3),(7,6)],8)
[5,1,2,6,8,4,3,7]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(5,3),(5,6),(6,4),(6,7)],8)
[5,1,6,3,8,4,2,7]=>([(0,6),(1,3),(1,4),(1,6),(2,7),(3,7),(4,2),(4,5),(6,5),(6,7)],8)
[5,1,6,7,4,8,2,3]=>([(0,7),(1,4),(1,5),(1,7),(3,6),(4,6),(5,2),(7,3)],8)
[5,6,2,3,8,4,1,7]=>([(0,7),(1,3),(2,4),(3,5),(3,6),(4,6),(4,7),(5,7)],8)
[5,6,2,7,8,4,1,3]=>([(0,6),(1,4),(2,3),(2,6),(2,7),(4,7),(7,5)],8)
[5,6,8,3,4,2,1,7]=>([(0,7),(1,7),(2,4),(3,5),(4,7),(5,6),(5,7)],8)
[5,7,2,3,4,8,6,1]=>([(1,4),(2,3),(2,6),(3,7),(4,5),(5,6),(5,7)],8)
[5,7,8,3,4,2,6,1]=>([(1,7),(2,5),(3,4),(3,7),(4,6),(5,7)],8)
[5,8,2,3,4,1,6,7]=>([(0,7),(1,6),(2,5),(2,7),(3,7),(6,3),(7,4)],8)
[6,1,2,3,7,8,5,4]=>([(0,7),(1,5),(5,6),(6,2),(6,3),(6,7),(7,4)],8)
[6,1,2,3,8,5,4,7]=>([(0,6),(0,7),(1,4),(2,7),(3,7),(4,5),(5,2),(5,3),(5,6)],8)
[6,1,2,7,8,5,4,3]=>([(0,7),(1,6),(6,2),(6,3),(6,4),(6,7),(7,5)],8)
[6,1,7,3,8,5,4,2]=>([(0,7),(1,4),(1,5),(1,7),(5,2),(5,3),(5,6),(7,6)],8)
[6,1,7,8,4,5,3,2]=>([(0,7),(1,3),(1,4),(1,6),(1,7),(6,2),(7,5)],8)
[6,1,8,3,4,5,2,7]=>([(0,6),(0,7),(1,3),(1,5),(1,6),(2,7),(3,7),(4,2),(5,4)],8)
[6,7,2,3,8,5,4,1]=>([(1,5),(2,6),(5,7),(6,3),(6,4),(6,7)],8)
[6,7,2,8,4,5,3,1]=>([(1,5),(2,4),(2,6),(2,7),(5,7),(6,3)],8)
[7,1,2,3,4,8,6,5]=>([(0,7),(1,5),(4,6),(5,4),(6,2),(6,3),(6,7)],8)
[7,1,2,8,4,5,6,3]=>([(0,7),(1,6),(4,5),(5,3),(6,2),(6,4),(6,7)],8)
[7,1,8,3,4,5,6,2]=>([(0,7),(1,3),(1,6),(1,7),(4,5),(5,2),(6,4)],8)
[6,4,1,8,2,3,7,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(3,4),(4,5),(4,7)],8)
[5,8,1,2,4,3,7,6]=>([(0,5),(1,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(5,2),(5,3)],8)
[1,3,5,7,2,6,4,8]=>([(0,2),(0,4),(1,7),(2,5),(2,6),(3,1),(3,6),(4,3),(4,5),(5,7),(6,7)],8)
[3,5,8,6,1,2,4,7]=>([(0,4),(1,5),(1,7),(3,6),(4,7),(5,2),(5,3),(7,6)],8)
[3,1,6,8,2,4,7,5]=>([(0,6),(0,7),(1,2),(1,7),(2,6),(6,3),(6,5),(7,4),(7,5)],8)
[3,6,2,8,1,5,7,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(7,4)],8)
[2,6,1,3,8,4,7,5]=>([(0,7),(1,3),(1,7),(3,5),(3,6),(4,2),(4,6),(7,4),(7,5)],8)
[1,7,5,2,3,4,6,8]=>([(0,2),(0,3),(0,5),(1,6),(2,7),(3,6),(4,1),(5,4),(6,7)],8)
[2,7,5,1,3,8,4,6]=>([(0,6),(1,2),(1,4),(1,6),(2,7),(3,5),(4,5),(4,7),(6,3),(6,7)],8)
[8,2,5,7,4,6,1,3]=>([(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(4,7)],8)
[8,2,1,3,7,6,4,5]=>([(1,7),(2,7),(6,3),(7,4),(7,5),(7,6)],8)
[8,2,5,1,3,7,4,6]=>([(1,5),(2,3),(2,5),(3,6),(3,7),(4,7),(5,4),(5,6)],8)
[8,2,7,5,3,1,6,4]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(4,7),(5,6),(5,7)],8)
[8,2,6,5,4,7,1,3]=>([(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7)],8)
[7,6,5,2,4,8,1,3]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7)],8)
[7,8,2,5,3,1,6,4]=>([(0,6),(0,7),(1,3),(2,4),(2,5),(4,7),(5,6),(5,7)],8)
[7,1,8,6,3,2,4,5]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(4,7),(5,7),(7,2)],8)
[6,8,1,5,3,2,4,7]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(2,7),(3,6),(4,6),(6,7)],8)
[1,6,7,5,3,2,4,8]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(6,7)],8)
[6,5,1,2,4,8,3,7]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[7,8,1,6,4,2,3,5]=>([(0,5),(1,2),(1,4),(1,6),(3,7),(4,7),(6,3)],8)
[8,4,1,2,5,6,3,7]=>([(1,7),(2,3),(3,5),(3,7),(4,6),(5,6),(7,4)],8)
[1,7,3,6,5,2,4,8]=>([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,6),(6,7)],8)
[8,1,3,7,2,6,4,5]=>([(1,4),(1,5),(4,6),(4,7),(5,3),(5,6),(5,7),(7,2)],8)
[7,3,2,6,5,1,8,4]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[7,8,4,2,5,6,1,3]=>([(0,7),(1,6),(2,6),(2,7),(3,5),(7,4)],8)
[8,2,7,4,5,6,1,3]=>([(1,7),(2,4),(2,6),(2,7),(5,3),(6,5)],8)
[8,2,3,6,5,1,7,4]=>([(1,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[4,8,6,5,7,3,2,1]=>([(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[3,8,7,5,4,6,2,1]=>([(2,3),(2,4),(2,5),(2,6),(5,7),(6,7)],8)
[4,8,5,6,7,3,2,1]=>([(3,4),(3,5),(5,6),(6,7)],8)
[2,8,7,6,4,3,5,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(5,7),(6,7)],8)
[3,8,7,4,5,6,2,1]=>([(2,4),(2,5),(2,7),(6,3),(7,6)],8)
[1,8,7,6,5,3,2,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)
[2,8,7,6,3,4,5,1]=>([(1,3),(1,4),(1,5),(1,7),(6,2),(7,6)],8)
[1,8,7,6,5,2,3,4]=>([(0,2),(0,3),(0,4),(0,5),(0,7),(6,1),(7,6)],8)
[7,2,8,6,5,4,1,3]=>([(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[7,2,8,5,4,6,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7)],8)
[6,3,2,8,5,1,7,4]=>([(0,6),(0,7),(1,5),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7)],8)
[8,4,7,2,5,6,3,1]=>([(2,5),(2,7),(3,4),(3,7),(7,6)],8)
[6,8,5,4,3,1,7,2]=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7)],8)
[5,8,6,4,1,3,7,2]=>([(0,7),(1,4),(1,6),(2,3),(2,5),(5,7),(6,7)],8)
[4,8,6,1,5,3,7,2]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(4,7),(5,7),(6,7)],8)
[3,6,1,8,5,2,7,4]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,5),(2,7),(3,4),(3,7),(6,7)],8)
[3,4,1,2,8,6,7,5]=>([(0,4),(1,3),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,2)],8)
[6,8,3,5,4,1,7,2]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(3,7),(4,7)],8)
[7,2,5,8,3,6,1,4]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,5,6,3,4,2,8]=>([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,2),(6,1)],8)
[7,2,6,8,5,3,1,4]=>([(0,7),(1,6),(2,3),(2,4),(2,5),(4,6),(5,7)],8)
[7,6,3,8,5,2,1,4]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(4,6),(4,7)],8)
[7,2,6,4,8,3,1,5]=>([(0,7),(1,6),(2,3),(2,4),(2,5),(3,6),(4,7),(5,6),(5,7)],8)
[1,5,7,4,2,6,3,8]=>([(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,2),(4,6),(5,1),(5,6),(6,7)],8)
[4,2,3,1,7,8,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(6,5),(7,4)],8)
[5,2,8,4,1,7,6,3]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7)],8)
[8,6,3,4,7,2,5,1]=>([(2,7),(3,6),(4,5),(5,6),(5,7)],8)
[6,8,3,4,5,1,7,2]=>([(0,6),(1,5),(1,7),(2,4),(2,7),(3,7),(6,3)],8)
[1,6,3,2,5,8,4,7]=>([(0,1),(0,2),(0,3),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[8,3,2,1,5,4,7,6]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[6,3,7,1,5,8,4,2]=>([(0,7),(1,3),(1,5),(1,6),(2,5),(2,6),(2,7),(6,4),(7,4)],8)
[2,5,1,8,4,3,7,6]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,6),(2,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,5,4,8,1,3,7]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[4,3,1,6,5,8,2,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(5,4),(5,7),(6,4),(6,7)],8)
[1,3,5,4,6,8,2,7]=>([(0,4),(0,5),(2,7),(3,7),(4,6),(5,2),(5,3),(7,1),(7,6)],8)
[6,1,3,4,5,8,2,7]=>([(0,6),(0,7),(1,2),(1,5),(2,7),(3,6),(3,7),(4,3),(5,4)],8)
[8,3,4,1,5,2,7,6]=>([(1,3),(2,4),(2,5),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,4,2,6,8,3,1]=>([(1,7),(2,7),(3,6),(4,5),(4,7),(7,6)],8)
[8,2,6,4,1,7,3,5]=>([(1,5),(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6)],8)
[7,3,8,4,5,2,1,6]=>([(0,7),(1,7),(2,6),(3,4),(3,6),(4,5),(5,7)],8)
[7,2,5,1,8,4,3,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(3,7),(4,7),(5,7)],8)
[1,7,3,2,5,4,8,6]=>([(0,1),(0,2),(0,3),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,2,1,5,3,4,6]=>([(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,4)],8)
[3,6,1,5,8,7,4,2]=>([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(3,4),(3,5),(7,4),(7,5)],8)
[8,3,6,4,5,1,7,2]=>([(1,3),(1,7),(2,5),(2,6),(4,7),(5,7),(6,4)],8)
[5,4,6,8,1,2,7,3]=>([(0,6),(1,6),(2,3),(3,5),(3,7),(6,4),(6,7)],8)
[6,4,7,2,3,5,8,1]=>([(1,5),(2,5),(2,7),(3,4),(4,7),(5,6),(7,6)],8)
[6,8,4,1,3,5,7,2]=>([(0,7),(1,4),(1,6),(2,3),(2,5),(5,7),(7,6)],8)
[3,4,7,8,6,2,5,1]=>([(1,7),(2,6),(5,4),(6,3),(6,5),(6,7)],8)
[4,1,3,5,7,8,6,2]=>([(0,7),(1,3),(1,4),(4,7),(6,2),(7,5),(7,6)],8)
[6,5,1,8,4,7,3,2]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(5,7)],8)
[5,3,1,8,4,7,6,2]=>([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(4,5),(4,6)],8)
[8,2,7,4,6,1,3,5]=>([(1,6),(2,3),(2,4),(2,6),(4,5),(4,7),(6,7)],8)
[4,7,3,2,8,1,6,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8)
[6,3,1,4,7,2,8,5]=>([(0,7),(1,6),(2,3),(2,7),(3,4),(3,5),(6,5),(7,4),(7,6)],8)
[8,7,3,6,1,5,2,4]=>([(2,5),(2,6),(3,4),(3,6),(3,7),(5,7)],8)
[7,4,3,6,8,2,5,1]=>([(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[2,4,7,3,8,5,6,1]=>([(1,4),(1,5),(3,6),(4,6),(4,7),(5,3),(5,7),(7,2)],8)
[2,8,6,1,5,7,3,4]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(4,5),(6,5),(7,2)],8)
[7,8,2,5,4,3,1,6]=>([(0,7),(1,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[1,8,3,4,2,7,6,5]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(3,5),(3,6),(3,7),(4,1)],8)
[8,5,3,7,4,2,6,1]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[5,7,3,2,4,1,8,6]=>([(0,6),(0,7),(1,5),(2,5),(3,4),(3,6),(4,7),(5,6),(5,7)],8)
[2,8,3,4,7,1,5,6]=>([(0,7),(1,3),(1,5),(5,6),(6,2),(6,7),(7,4)],8)
[4,1,3,6,7,8,2,5]=>([(0,6),(0,7),(1,3),(1,4),(3,7),(4,6),(4,7),(5,2),(6,5)],8)
[1,7,6,3,2,5,8,4]=>([(0,1),(0,2),(0,3),(0,4),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
[3,8,1,5,6,2,7,4]=>([(0,4),(0,7),(1,3),(1,6),(1,7),(2,5),(4,5),(4,6),(7,2)],8)
[8,2,5,6,1,7,4,3]=>([(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(4,7)],8)
[7,1,5,2,8,6,4,3]=>([(0,7),(1,4),(1,5),(4,6),(4,7),(5,2),(5,3),(5,6),(5,7)],8)
[6,5,4,8,7,2,1,3]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5)],8)
[1,8,6,4,5,2,7,3]=>([(0,3),(0,4),(0,5),(0,6),(2,7),(4,7),(5,2),(6,1),(6,7)],8)
[1,8,5,3,6,2,7,4]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,7),(4,5),(4,6),(6,7)],8)
[3,6,2,1,7,5,8,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,7),(6,4),(7,4)],8)
[2,5,4,1,8,7,6,3]=>([(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7)],8)
[4,7,2,6,5,8,1,3]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(5,7),(6,7)],8)
[6,8,1,4,2,7,3,5]=>([(0,4),(0,7),(1,3),(1,5),(2,6),(3,6),(3,7),(5,2),(5,7)],8)
[6,3,4,7,1,8,2,5]=>([(0,6),(1,4),(2,3),(2,5),(3,7),(4,6),(4,7),(6,5)],8)
[3,4,7,8,2,5,6,1]=>([(1,7),(2,6),(5,3),(6,5),(6,7),(7,4)],8)
[1,8,2,4,5,6,7,3]=>([(0,3),(0,7),(4,6),(5,2),(6,5),(7,1),(7,4)],8)
[5,2,4,1,6,8,7,3]=>([(0,7),(1,6),(1,7),(2,3),(2,6),(3,7),(7,4),(7,5)],8)
[3,2,5,7,6,1,8,4]=>([(0,6),(0,7),(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(5,3),(5,4)],8)
[4,3,5,6,1,8,7,2]=>([(0,5),(1,5),(2,3),(2,6),(2,7),(4,6),(4,7),(5,4)],8)
[5,3,4,1,7,6,8,2]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(2,7),(4,6),(4,7),(6,5),(7,5)],8)
[3,1,4,6,5,7,8,2]=>([(0,7),(1,2),(1,7),(3,6),(4,6),(6,5),(7,3),(7,4)],8)
[1,4,7,3,5,6,8,2]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(4,7),(5,2),(5,7),(7,1)],8)
[5,1,3,6,4,8,7,2]=>([(0,7),(1,2),(1,4),(3,5),(3,6),(4,3),(4,7),(7,5),(7,6)],8)
[1,3,2,7,5,8,6,4]=>([(0,2),(0,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,1),(7,4)],8)
[1,4,2,5,8,3,7,6]=>([(0,3),(0,4),(2,5),(2,6),(3,7),(4,2),(4,7),(7,1),(7,5),(7,6)],8)
[1,4,2,7,8,5,6,3]=>([(0,4),(0,5),(4,6),(4,7),(5,1),(5,6),(5,7),(6,3),(7,2)],8)
[5,1,2,6,8,4,7,3]=>([(0,7),(1,5),(4,6),(5,3),(5,4),(5,7),(7,2),(7,6)],8)
[3,1,2,6,5,8,4,7]=>([(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,3),(5,7),(6,3),(6,7)],8)
[4,1,2,6,8,5,3,7]=>([(0,5),(0,6),(1,4),(3,7),(4,3),(4,5),(4,6),(5,7),(6,2),(6,7)],8)
[1,5,2,4,8,7,6,3]=>([(0,3),(0,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,2)],8)
[1,2,6,4,8,7,5,3]=>([(0,5),(3,6),(3,7),(4,2),(4,6),(4,7),(5,1),(5,3),(5,4)],8)
[1,2,7,4,8,6,5,3]=>([(0,6),(4,7),(5,2),(5,3),(5,7),(6,1),(6,4),(6,5)],8)
[1,3,2,7,5,8,4,6]=>([(0,1),(0,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(5,4),(6,3),(7,3),(7,4)],8)
[2,3,1,7,5,4,8,6]=>([(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,3),(5,7),(6,3),(6,7)],8)
[1,3,2,8,5,7,4,6]=>([(0,2),(0,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,1),(7,4)],8)
[1,4,2,5,8,7,3,6]=>([(0,4),(0,5),(3,6),(4,7),(5,3),(5,7),(7,1),(7,2),(7,6)],8)
[1,5,2,4,8,7,3,6]=>([(0,3),(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,2)],8)
[1,2,6,4,8,7,3,5]=>([(0,4),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,2),(4,3)],8)
[1,2,7,8,5,6,3,4]=>([(0,7),(4,3),(5,2),(6,1),(7,4),(7,5),(7,6)],8)
[1,2,6,8,5,7,3,4]=>([(0,6),(3,7),(4,2),(5,1),(5,7),(6,3),(6,4),(6,5)],8)
[1,5,6,8,2,7,3,4]=>([(0,5),(0,6),(3,1),(4,2),(4,7),(5,4),(6,3),(6,7)],8)
[1,3,8,2,6,7,4,5]=>([(0,4),(0,5),(4,6),(4,7),(5,1),(5,6),(5,7),(6,3),(7,2)],8)
[1,4,7,2,8,6,3,5]=>([(0,3),(0,4),(1,6),(2,5),(3,2),(3,6),(3,7),(4,1),(4,5),(4,7)],8)
[1,6,7,8,2,5,3,4]=>([(0,6),(0,7),(4,2),(5,3),(6,4),(7,1),(7,5)],8)
[1,2,6,8,3,7,5,4]=>([(0,6),(4,3),(4,7),(5,1),(5,2),(5,7),(6,4),(6,5)],8)
[1,5,7,8,2,3,6,4]=>([(0,5),(0,6),(3,1),(4,2),(4,7),(5,4),(6,3),(6,7)],8)
[1,5,2,7,8,4,6,3]=>([(0,4),(0,5),(3,6),(4,6),(4,7),(5,2),(5,3),(5,7),(7,1)],8)
[1,4,7,2,8,3,6,5]=>([(0,3),(0,4),(1,7),(2,5),(2,6),(3,2),(3,7),(4,1),(4,5),(4,6)],8)
[1,3,6,2,4,8,7,5]=>([(0,3),(0,4),(2,5),(2,6),(3,7),(4,2),(4,7),(7,1),(7,5),(7,6)],8)
[1,6,7,3,4,8,5,2]=>([(0,3),(0,5),(0,6),(2,7),(4,1),(4,7),(5,2),(6,4)],8)
[1,5,3,7,4,8,6,2]=>([(0,2),(0,3),(0,4),(1,5),(1,7),(3,5),(3,6),(4,1),(4,6),(6,7)],8)
[2,8,4,1,5,3,7,6]=>([(0,2),(0,3),(0,7),(1,6),(1,7),(3,6),(6,4),(6,5),(7,4),(7,5)],8)
[3,8,4,1,5,7,2,6]=>([(0,5),(0,7),(1,3),(1,4),(4,7),(5,6),(7,2),(7,6)],8)
[1,3,6,4,2,8,7,5]=>([(0,3),(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,2)],8)
[1,3,7,4,2,8,6,5]=>([(0,3),(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,2)],8)
[1,3,8,4,2,7,6,5]=>([(0,3),(0,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,2)],8)
[1,2,8,4,7,3,6,5]=>([(0,5),(3,6),(3,7),(4,2),(4,6),(4,7),(5,1),(5,3),(5,4)],8)
[1,2,7,4,8,3,6,5]=>([(0,4),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,2),(4,3)],8)
[1,2,6,4,8,3,7,5]=>([(0,4),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,1),(4,2),(4,3)],8)
[1,5,2,4,8,3,7,6]=>([(0,3),(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,2)],8)
[1,8,4,5,7,2,3,6]=>([(0,3),(0,5),(0,6),(2,7),(4,1),(4,7),(5,2),(6,4)],8)
[1,8,3,5,2,7,4,6]=>([(0,2),(0,3),(0,4),(1,5),(1,7),(3,5),(3,6),(4,1),(4,6),(6,7)],8)
[2,8,3,5,1,4,7,6]=>([(0,7),(1,2),(1,4),(3,5),(3,6),(4,3),(4,7),(7,5),(7,6)],8)
[2,3,8,6,1,4,7,5]=>([(0,7),(1,5),(4,6),(5,3),(5,4),(5,7),(7,2),(7,6)],8)
[1,3,8,6,2,7,4,5]=>([(0,4),(0,5),(3,6),(4,6),(4,7),(5,2),(5,3),(5,7),(7,1)],8)
[1,4,8,6,7,2,3,5]=>([(0,5),(0,6),(3,7),(4,2),(5,3),(6,1),(6,4),(6,7)],8)
[1,5,6,8,7,2,3,4]=>([(0,5),(0,6),(4,1),(5,4),(6,7),(7,2),(7,3)],8)
[1,2,6,8,5,3,7,4]=>([(0,6),(3,7),(4,2),(4,7),(5,1),(5,7),(6,3),(6,4),(6,5)],8)
[1,2,7,8,5,3,6,4]=>([(0,6),(3,7),(4,2),(5,1),(5,7),(6,3),(6,4),(6,5)],8)
[1,2,5,8,7,3,6,4]=>([(0,6),(4,3),(4,7),(5,1),(5,2),(5,7),(6,4),(6,5)],8)
[1,2,6,8,7,3,5,4]=>([(0,7),(5,3),(5,4),(6,1),(6,2),(7,5),(7,6)],8)
[1,2,7,8,6,3,5,4]=>([(0,7),(5,4),(6,2),(6,3),(7,1),(7,5),(7,6)],8)
[1,6,7,8,5,2,3,4]=>([(0,3),(0,6),(0,7),(4,2),(5,1),(6,4),(7,5)],8)
[1,5,7,8,6,2,3,4]=>([(0,6),(0,7),(4,2),(5,3),(6,4),(7,1),(7,5)],8)
[1,4,7,6,8,2,3,5]=>([(0,4),(0,5),(1,6),(2,6),(3,7),(4,3),(5,1),(5,2),(5,7)],8)
[1,3,7,6,2,8,4,5]=>([(0,4),(0,5),(1,7),(2,7),(4,6),(4,7),(5,1),(5,2),(5,6),(6,3)],8)
[2,3,8,7,4,1,6,5]=>([(0,6),(0,7),(1,5),(4,6),(4,7),(5,2),(5,3),(5,4)],8)
[1,2,8,4,7,6,3,5]=>([(0,6),(4,7),(5,2),(5,3),(5,7),(6,1),(6,4),(6,5)],8)
[1,2,5,8,7,6,3,4]=>([(0,6),(5,4),(6,5),(6,7),(7,1),(7,2),(7,3)],8)
[1,2,6,8,7,5,3,4]=>([(0,7),(5,4),(6,2),(6,3),(7,1),(7,5),(7,6)],8)
[1,2,7,8,6,5,3,4]=>([(0,7),(5,4),(6,3),(7,1),(7,2),(7,5),(7,6)],8)
[5,2,6,7,3,4,8,1]=>([(1,6),(2,3),(2,6),(3,5),(4,7),(5,7),(6,4)],8)
[5,2,4,7,6,3,8,1]=>([(1,5),(1,6),(2,3),(2,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,6,2,1,7,8,3,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,7),(6,5),(7,4)],8)
[5,6,2,1,4,8,7,3]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(7,4),(7,5)],8)
[2,6,1,4,5,8,7,3]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(7,2)],8)
[5,4,2,7,6,3,8,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[2,3,7,6,4,5,8,1]=>([(1,6),(2,7),(3,7),(4,7),(5,4),(6,2),(6,3),(6,5)],8)
[2,6,1,7,5,8,3,4]=>([(0,3),(0,5),(0,7),(1,5),(1,6),(1,7),(3,6),(5,2),(6,4),(7,4)],8)
[2,6,1,7,4,8,5,3]=>([(0,3),(0,5),(0,7),(1,5),(1,6),(1,7),(3,6),(6,4),(7,2),(7,4)],8)
[5,1,2,7,8,4,3,6]=>([(0,6),(0,7),(1,5),(2,7),(3,7),(5,2),(5,3),(5,6),(6,4)],8)
[2,6,1,7,4,8,3,5]=>([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(5,4),(6,3),(7,3),(7,4)],8)
[3,6,4,1,7,8,2,5]=>([(0,5),(0,7),(1,2),(1,4),(2,7),(4,6),(4,7),(5,6),(7,3)],8)
[5,4,6,1,3,8,7,2]=>([(0,5),(1,5),(2,3),(2,4),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,4,1,5,8,7,2]=>([(0,4),(0,7),(1,2),(1,3),(2,7),(3,5),(3,6),(7,5),(7,6)],8)
[2,6,1,5,4,8,7,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,1,4,7,8,5,3]=>([(0,5),(0,7),(1,3),(1,5),(1,7),(3,6),(6,4),(7,2),(7,6)],8)
[5,1,2,4,8,6,7,3]=>([(0,6),(0,7),(1,5),(4,6),(4,7),(5,3),(5,4),(7,2)],8)
[5,1,2,4,8,7,3,6]=>([(0,5),(0,6),(0,7),(1,4),(2,7),(3,5),(3,6),(3,7),(4,2),(4,3)],8)
[5,1,2,4,8,7,6,3]=>([(0,5),(0,6),(0,7),(1,4),(3,5),(3,6),(3,7),(4,2),(4,3)],8)
[1,2,3,8,5,4,7,6]=>([(0,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,1),(5,2),(5,3)],8)
[4,3,1,2,8,5,7,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(5,6),(5,7),(7,3),(7,4)],8)
[2,1,5,3,8,6,4,7]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(5,4),(6,3),(6,5),(7,2),(7,3),(7,5)],8)
[1,2,3,8,5,6,4,7]=>([(0,5),(2,7),(3,7),(4,3),(5,6),(6,1),(6,2),(6,4)],8)
[1,2,3,8,6,4,5,7]=>([(0,5),(2,7),(3,7),(4,3),(5,6),(6,1),(6,2),(6,4)],8)
[1,2,3,8,6,5,4,7]=>([(0,5),(2,7),(3,7),(4,7),(5,6),(6,1),(6,2),(6,3),(6,4)],8)
[1,2,3,8,5,4,6,7]=>([(0,5),(2,7),(3,7),(5,6),(6,1),(6,2),(6,3),(7,4)],8)
[2,6,1,5,4,8,3,7]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,2,4,8,6,3,7]=>([(0,6),(0,7),(1,4),(2,5),(3,6),(3,7),(4,2),(4,3),(7,5)],8)
[5,1,2,4,8,3,7,6]=>([(0,5),(0,6),(0,7),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,2),(4,3)],8)
[5,6,3,1,4,8,2,7]=>([(0,5),(1,4),(2,3),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,4,3,1,8,6,7]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(7,2)],8)
[5,4,6,3,1,8,7,2]=>([(0,6),(0,7),(1,5),(2,5),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
[3,6,4,5,1,8,7,2]=>([(0,4),(0,6),(0,7),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(5,2)],8)
[3,6,5,4,1,8,7,2]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7)],8)
[5,2,6,1,7,8,4,3]=>([(0,7),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(4,3),(7,4)],8)
[5,1,6,2,8,7,3,4]=>([(0,7),(1,4),(1,7),(3,2),(4,3),(4,5),(4,6),(7,5),(7,6)],8)
[2,1,3,7,8,6,4,5]=>([(0,7),(1,7),(5,3),(6,2),(7,4),(7,5),(7,6)],8)
[2,1,3,7,8,5,6,4]=>([(0,7),(1,7),(5,3),(6,2),(7,4),(7,5),(7,6)],8)
[5,2,4,1,7,8,6,3]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(7,3)],8)
[4,3,1,2,8,6,7,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)
[5,1,4,2,8,6,7,3]=>([(0,6),(0,7),(1,4),(1,5),(4,6),(4,7),(5,3),(5,6),(5,7),(7,2)],8)
[2,1,3,6,8,5,7,4]=>([(0,7),(1,7),(4,6),(5,3),(5,6),(7,2),(7,4),(7,5)],8)
[1,2,3,8,6,7,4,5]=>([(0,6),(4,3),(5,2),(6,7),(7,1),(7,4),(7,5)],8)
[1,2,3,8,7,5,4,6]=>([(0,5),(3,7),(4,7),(5,6),(6,1),(6,2),(6,3),(6,4)],8)
[1,2,3,8,7,4,5,6]=>([(0,6),(4,5),(5,3),(6,7),(7,1),(7,2),(7,4)],8)
[1,2,3,8,5,7,4,6]=>([(0,5),(3,7),(4,2),(4,7),(5,6),(6,1),(6,3),(6,4)],8)
[2,1,3,6,8,7,4,5]=>([(0,7),(1,7),(5,4),(6,2),(6,3),(7,5),(7,6)],8)
[5,4,1,2,8,7,6,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(3,5),(3,6),(3,7)],8)
[3,1,6,2,8,7,5,4]=>([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(7,3),(7,4)],8)
[1,8,3,4,2,5,6,7]=>([(0,3),(0,4),(0,6),(2,7),(4,7),(5,1),(6,2),(7,5)],8)
[1,8,4,3,2,5,6,7]=>([(0,2),(0,3),(0,4),(0,5),(3,7),(4,7),(5,7),(6,1),(7,6)],8)
[8,4,7,6,5,3,2,1]=>([(4,5),(4,6),(4,7)],8)
[8,4,7,5,6,3,2,1]=>([(4,5),(4,6),(6,7)],8)
[8,5,7,4,6,3,2,1]=>([(4,7),(5,6),(5,7)],8)
[8,7,6,3,5,4,2,1]=>([(5,6),(5,7)],8)
[8,6,7,3,5,4,2,1]=>([(3,7),(4,5),(4,6)],8)
[8,5,7,3,6,4,2,1]=>([(3,6),(3,7),(4,5),(4,7)],8)
[8,1,7,4,6,5,3,2]=>([(1,4),(1,5),(1,6),(1,7),(7,2),(7,3)],8)
[8,1,7,3,6,5,4,2]=>([(1,5),(1,6),(1,7),(7,2),(7,3),(7,4)],8)
[8,2,7,3,6,5,4,1]=>([(2,6),(2,7),(7,3),(7,4),(7,5)],8)
[8,3,7,2,6,5,4,1]=>([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[8,5,7,2,6,4,3,1]=>([(2,6),(2,7),(3,4),(3,5),(3,7)],8)
[8,6,7,2,5,4,3,1]=>([(2,7),(3,4),(3,5),(3,6)],8)
[8,7,6,2,5,4,3,1]=>([(4,5),(4,6),(4,7)],8)
[8,4,7,1,6,5,3,2]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7)],8)
[8,3,7,1,6,5,4,2]=>([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7)],8)
[8,2,7,1,6,5,4,3]=>([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[8,1,7,2,6,5,4,3]=>([(1,6),(1,7),(7,2),(7,3),(7,4),(7,5)],8)
[8,7,6,2,5,3,4,1]=>([(4,5),(4,6),(6,7)],8)
[8,1,7,6,5,3,4,2]=>([(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8)
[8,3,7,6,5,2,4,1]=>([(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[8,4,7,6,5,2,3,1]=>([(2,7),(3,4),(3,5),(3,6)],8)
[8,5,7,6,4,2,3,1]=>([(3,7),(4,5),(4,6)],8)
[8,6,7,5,4,1,3,2]=>([(3,7),(4,5),(4,6)],8)
[8,5,7,6,4,1,3,2]=>([(2,6),(2,7),(3,4),(3,5)],8)
[8,3,7,6,5,1,4,2]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7)],8)
[8,7,6,4,5,1,3,2]=>([(3,7),(4,5),(4,6)],8)
[8,7,6,2,5,1,4,3]=>([(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,7,6,1,5,2,4,3]=>([(3,4),(3,5),(5,6),(5,7)],8)
[6,8,1,3,2,5,4,7]=>([(0,4),(0,7),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7)],8)
[6,8,1,4,2,5,3,7]=>([(0,4),(0,7),(1,3),(1,5),(2,7),(3,6),(5,2),(5,6),(6,7)],8)
[7,8,3,6,1,4,2,5]=>([(0,4),(1,3),(1,6),(2,5),(2,6),(5,7),(6,7)],8)
[7,8,2,5,3,6,1,4]=>([(0,6),(1,3),(2,4),(2,5),(4,7),(5,6),(5,7)],8)
[7,8,2,5,1,4,3,6]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[7,8,1,4,3,6,2,5]=>([(0,5),(1,2),(1,3),(1,4),(2,7),(3,6),(3,7),(4,6),(4,7)],8)
[5,8,1,4,3,7,2,6]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,7),(3,6),(3,7),(4,6),(4,7)],8)
[6,8,2,5,1,4,3,7]=>([(0,5),(0,6),(1,3),(1,7),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[6,8,2,5,3,7,1,4]=>([(0,6),(1,3),(1,7),(2,4),(2,5),(4,7),(5,6),(5,7)],8)
[6,8,2,5,4,7,1,3]=>([(0,6),(1,3),(1,7),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[2,5,4,7,6,8,1,3]=>([(0,5),(1,2),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(6,4),(7,4)],8)
[2,5,3,7,6,8,1,4]=>([(0,2),(0,3),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[2,5,1,4,3,7,6,8]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(2,7),(4,6),(4,7),(5,6),(5,7),(6,3),(7,3)],8)
[2,6,1,4,3,7,5,8]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,7),(4,3),(5,4),(5,7),(6,4),(6,7),(7,3)],8)
[2,6,5,8,1,4,3,7]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,7),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,1,5,3,7,4,8]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,7),(3,4),(5,7),(6,3),(6,7),(7,4)],8)
[2,6,3,7,4,8,1,5]=>([(0,7),(1,3),(1,4),(2,6),(2,7),(3,5),(4,2),(4,5),(5,6)],8)
[2,6,4,7,5,8,1,3]=>([(0,7),(1,3),(1,4),(1,7),(2,6),(3,5),(4,2),(4,5),(5,6)],8)
[5,8,3,6,4,7,1,2]=>([(0,4),(1,3),(1,6),(2,5),(2,6),(5,7),(6,7)],8)
[5,8,2,6,4,7,1,3]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(4,7),(6,7)],8)
[4,8,2,6,3,7,1,5]=>([(0,7),(1,4),(1,5),(2,3),(2,5),(2,7),(4,6),(4,7),(5,6)],8)
[4,8,1,5,3,7,2,6]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,7),(3,5),(3,7),(6,5),(6,7)],8)
[4,8,1,5,2,6,3,7]=>([(0,3),(0,7),(1,4),(1,7),(2,6),(4,2),(4,5),(5,6),(7,5)],8)
[4,8,3,7,1,5,2,6]=>([(0,5),(0,7),(1,4),(1,7),(2,3),(2,5),(2,7),(4,6),(7,6)],8)
[6,8,3,7,1,4,2,5]=>([(0,5),(0,6),(1,3),(1,5),(2,4),(2,6),(4,7),(6,7)],8)
[5,8,1,3,2,6,4,7]=>([(0,4),(0,7),(1,2),(1,3),(2,5),(2,7),(3,5),(3,7),(5,6),(7,6)],8)
[5,8,4,7,1,3,2,6]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(4,7),(5,7)],8)
[6,8,4,7,1,3,2,5]=>([(0,6),(0,7),(1,3),(1,6),(2,4),(2,5),(4,7),(5,7)],8)
[6,8,5,7,1,3,2,4]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(4,7),(5,7)],8)
[5,7,6,8,2,4,1,3]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(4,7),(5,7)],8)
[4,7,6,8,1,3,2,5]=>([(0,2),(0,3),(1,4),(1,5),(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[4,7,5,8,1,3,2,6]=>([(0,2),(0,3),(1,4),(1,5),(2,7),(3,7),(4,6),(5,6),(5,7)],8)
[4,7,1,3,2,6,5,8]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,5),(6,5),(7,5)],8)
[3,7,1,4,2,6,5,8]=>([(0,3),(0,6),(1,2),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7),(6,4),(6,5)],8)
[3,7,5,8,1,4,2,6]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(3,7),(4,7),(6,7)],8)
[3,7,6,8,1,4,2,5]=>([(0,4),(0,7),(1,2),(1,3),(1,7),(2,5),(3,5),(4,6),(7,6)],8)
[3,7,6,8,2,5,1,4]=>([(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(4,6)],8)
[4,7,6,8,2,5,1,3]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,7),(4,7)],8)
[4,7,5,8,3,6,1,2]=>([(0,6),(1,3),(2,4),(2,5),(4,7),(5,6),(5,7)],8)
[4,7,5,8,2,6,1,3]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(3,7),(4,6),(4,7)],8)
[3,7,5,8,2,6,1,4]=>([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(4,5),(4,6)],8)
[3,7,4,8,2,6,1,5]=>([(0,7),(1,5),(1,7),(2,3),(2,4),(3,6),(4,5),(4,6),(4,7)],8)
[3,7,4,8,1,5,2,6]=>([(0,4),(0,7),(1,2),(1,3),(2,5),(3,5),(3,7),(4,6),(7,6)],8)
[3,7,1,5,2,6,4,8]=>([(0,3),(0,6),(1,2),(1,5),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7),(6,4)],8)
[3,7,2,6,1,5,4,8]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[3,7,2,6,5,8,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7)],8)
[4,7,3,6,5,8,1,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[3,6,5,8,4,7,1,2]=>([(0,5),(1,2),(1,3),(1,4),(2,7),(3,6),(3,7),(4,6),(4,7)],8)
[2,6,5,8,4,7,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7)],8)
[2,6,5,8,3,7,1,4]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7)],8)
[2,6,3,7,1,5,4,8]=>([(0,2),(0,3),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[7,6,4,2,8,5,3,1]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,6,4,3,8,2,5,1]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,4,8,5,2,3,1]=>([(1,7),(2,7),(3,6),(4,5),(4,7)],8)
[6,8,4,3,7,2,1,5]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6)],8)
[6,7,4,3,5,1,8,2]=>([(0,6),(1,6),(2,5),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,3,5,4,8,2,1]=>([(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[6,8,3,7,5,2,4,1]=>([(1,6),(2,5),(2,7),(3,4),(3,6),(3,7)],8)
[7,6,8,3,5,2,4,1]=>([(1,6),(2,6),(3,7),(4,5),(4,7)],8)
[7,6,3,5,8,2,4,1]=>([(1,7),(2,7),(3,6),(4,5),(4,6),(5,7)],8)
[7,6,3,5,2,4,8,1]=>([(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,6,4,2,5,1,8,3]=>([(0,7),(1,7),(2,6),(3,5),(3,7),(4,5),(4,6),(6,7)],8)
[7,6,2,8,4,1,5,3]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,7),(4,6)],8)
[7,6,3,8,2,4,1,5]=>([(0,6),(1,7),(2,7),(3,5),(4,5),(4,7),(5,6)],8)
[7,6,3,4,8,2,5,1]=>([(1,7),(2,7),(3,6),(4,5),(5,6),(5,7)],8)
[6,8,3,7,4,5,2,1]=>([(2,4),(2,7),(3,5),(3,7),(5,6)],8)
[6,7,3,5,8,4,2,1]=>([(2,6),(3,4),(3,5),(5,7),(6,7)],8)
[5,7,8,3,6,2,1,4]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5)],8)
[5,8,3,6,7,2,1,4]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,6),(6,5)],8)
[6,3,4,8,7,2,5,1]=>([(1,7),(2,5),(2,6),(3,4),(4,5),(4,6),(4,7)],8)
[6,3,8,4,7,2,1,5]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(4,6),(4,7)],8)
[6,2,8,4,1,7,5,3]=>([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7)],8)
[6,2,7,4,1,5,3,8]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,7),(5,7),(6,7)],8)
[6,3,4,7,5,8,2,1]=>([(2,7),(3,4),(4,5),(4,7),(5,6),(7,6)],8)
[6,3,5,7,8,4,2,1]=>([(2,7),(3,4),(3,5),(5,7),(7,6)],8)
[5,7,3,6,8,2,1,4]=>([(0,7),(1,7),(2,5),(2,7),(3,4),(3,5),(4,6),(5,6)],8)
[5,6,8,3,7,2,1,4]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(4,5),(4,6)],8)
[5,6,7,3,4,1,8,2]=>([(0,5),(1,6),(2,4),(2,7),(3,7),(5,7),(6,3)],8)
[4,6,7,8,3,5,2,1]=>([(2,7),(3,4),(3,7),(4,6),(6,5)],8)
[4,6,8,3,5,7,2,1]=>([(2,6),(3,4),(3,6),(4,5),(4,7),(6,7)],8)
[4,7,3,5,6,8,2,1]=>([(2,6),(3,4),(3,6),(4,7),(5,7),(6,5)],8)
[4,7,3,5,8,2,6,1]=>([(1,6),(2,5),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[5,3,4,7,8,2,1,6]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5)],8)
[5,3,8,2,4,1,6,7]=>([(0,7),(1,6),(2,5),(2,7),(3,5),(3,6),(6,7),(7,4)],8)
[5,3,4,8,2,6,1,7]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(7,5)],8)
[4,8,3,6,2,5,7,1]=>([(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(5,6),(7,6)],8)
[4,8,3,5,7,2,6,1]=>([(1,7),(2,6),(3,5),(3,7),(7,4),(7,6)],8)
[4,8,3,5,6,7,2,1]=>([(2,7),(3,4),(3,7),(5,6),(7,5)],8)
[4,7,8,3,5,6,2,1]=>([(2,7),(3,4),(3,7),(4,6),(7,5)],8)
[4,7,8,3,6,2,5,1]=>([(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8)
[4,8,3,6,7,2,5,1]=>([(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(6,5)],8)
[4,8,3,7,2,5,6,1]=>([(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(7,5)],8)
[5,3,4,8,2,7,6,1]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[5,3,8,2,4,1,7,6]=>([(0,6),(0,7),(1,5),(2,4),(2,6),(2,7),(3,4),(3,5),(5,6),(5,7)],8)
[5,2,8,4,1,7,3,6]=>([(0,5),(0,6),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(5,7)],8)
[6,4,2,5,1,8,7,3]=>([(0,6),(0,7),(1,5),(2,4),(2,6),(2,7),(3,4),(3,5),(5,6),(5,7)],8)
[6,4,3,5,8,2,1,7]=>([(0,7),(1,7),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8)
[6,3,5,8,7,2,4,1]=>([(1,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7)],8)
[5,8,3,7,2,6,4,1]=>([(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)
[5,7,3,4,8,2,1,6]=>([(0,7),(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(5,7)],8)
[5,8,4,2,3,1,6,7]=>([(0,7),(1,7),(2,5),(3,4),(3,7),(5,7),(7,6)],8)
[5,8,4,2,3,1,7,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
[6,4,5,3,8,2,1,7]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[6,4,8,5,3,7,2,1]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[6,4,3,8,5,7,2,1]=>([(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[6,4,2,8,5,3,1,7]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[6,4,2,7,3,1,8,5]=>([(0,5),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,7)],8)
[6,4,3,7,8,5,2,1]=>([(2,7),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[6,4,5,3,7,1,8,2]=>([(0,7),(1,7),(2,5),(3,4),(3,6),(5,7),(7,6)],8)
[5,7,4,2,3,1,6,8]=>([(0,7),(1,7),(2,4),(3,5),(3,7),(4,7),(5,6),(7,6)],8)
[5,6,3,7,1,8,2,4]=>([(0,6),(0,7),(1,3),(2,4),(2,5),(3,7),(4,6),(7,5)],8)
[5,6,3,4,7,1,8,2]=>([(0,5),(1,4),(2,3),(2,6),(4,7),(5,7),(7,6)],8)
[5,6,3,4,8,2,1,7]=>([(0,7),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,5,7,4,8,2,1]=>([(2,6),(3,4),(3,5),(4,7),(5,6),(6,7)],8)
[6,3,5,4,7,8,2,1]=>([(2,7),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[6,4,3,5,7,1,8,2]=>([(0,5),(1,5),(2,7),(3,4),(3,6),(5,7),(7,6)],8)
[6,4,2,5,1,7,3,8]=>([(0,7),(1,5),(2,4),(2,7),(3,4),(3,5),(4,6),(5,7),(7,6)],8)
[5,3,7,2,4,1,6,8]=>([(0,7),(1,5),(2,4),(2,7),(3,4),(3,5),(4,6),(5,7),(7,6)],8)
[5,3,4,7,2,6,1,8]=>([(0,7),(1,6),(2,5),(2,7),(3,4),(4,5),(4,7),(5,6),(7,6)],8)
[4,7,3,6,2,5,8,1]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,7,3,6,8,2,5,1]=>([(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
[4,6,7,3,5,8,2,1]=>([(2,6),(3,4),(3,6),(4,5),(5,7),(6,7)],8)
[4,5,7,8,3,6,2,1]=>([(2,4),(3,7),(4,6),(4,7),(6,5)],8)
[4,5,8,3,6,7,2,1]=>([(2,7),(3,4),(4,6),(4,7),(7,5)],8)
[4,5,8,3,7,2,6,1]=>([(1,7),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[5,3,4,6,8,2,1,7]=>([(0,7),(1,7),(2,6),(3,4),(4,6),(6,5),(6,7)],8)
[5,3,6,8,2,1,4,7]=>([(0,6),(1,7),(2,7),(3,6),(3,7),(6,4),(6,5),(7,5)],8)
[5,3,6,7,1,8,2,4]=>([(0,5),(1,5),(1,6),(2,3),(2,7),(3,6),(4,7),(5,4)],8)
[5,3,4,6,7,1,8,2]=>([(0,7),(1,4),(2,3),(2,6),(4,7),(5,6),(7,5)],8)
[4,6,3,5,7,8,2,1]=>([(2,6),(3,4),(3,6),(4,7),(6,7),(7,5)],8)
[4,5,7,3,6,8,2,1]=>([(2,7),(3,4),(4,5),(4,7),(5,6),(7,6)],8)
[4,5,6,8,3,7,2,1]=>([(2,4),(3,7),(4,6),(6,5),(6,7)],8)
[5,7,4,8,6,3,2,1]=>([(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[3,2,6,5,1,8,7,4]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[3,5,6,7,2,8,4,1]=>([(1,6),(1,7),(2,3),(2,6),(3,5),(4,7),(5,4)],8)
[1,6,2,5,3,4,8,7]=>([(0,3),(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,2),(5,1),(5,4)],8)
[1,3,8,2,4,6,5,7]=>([(0,4),(0,5),(2,6),(3,6),(4,7),(5,1),(5,7),(7,2),(7,3)],8)
[1,7,2,3,6,4,8,5]=>([(0,3),(0,5),(2,7),(3,7),(4,1),(4,7),(5,6),(6,2),(6,4)],8)
[1,6,8,2,5,3,7,4]=>([(0,5),(0,6),(3,7),(4,2),(4,7),(5,1),(5,7),(6,3),(6,4)],8)
[1,8,2,5,3,4,7,6]=>([(0,3),(0,5),(1,6),(1,7),(2,6),(2,7),(4,2),(5,1),(5,4)],8)
[1,8,2,3,6,4,7,5]=>([(0,3),(0,5),(2,7),(4,1),(4,7),(5,6),(6,2),(6,4)],8)
[1,3,5,2,8,4,7,6]=>([(0,1),(0,2),(1,3),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(7,4),(7,5)],8)
[1,2,7,3,5,4,6,8]=>([(0,5),(1,7),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4),(6,7)],8)
[1,8,2,7,3,4,6,5]=>([(0,4),(0,7),(5,6),(6,2),(6,3),(7,1),(7,5)],8)
[1,5,8,2,3,7,4,6]=>([(0,4),(0,5),(2,6),(3,2),(3,7),(4,3),(5,1),(5,6),(5,7)],8)
[1,6,8,2,3,5,4,7]=>([(0,4),(0,5),(2,7),(3,7),(4,6),(5,1),(5,7),(6,2),(6,3)],8)
[5,3,6,1,2,4,8,7]=>([(0,3),(1,6),(2,6),(2,7),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[7,1,5,8,4,2,3,6]=>([(0,6),(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(4,7),(5,2)],8)
[8,1,5,7,4,2,3,6]=>([(1,4),(1,5),(1,6),(3,7),(4,7),(5,3),(6,2),(6,7)],8)
[7,1,4,5,8,2,3,6]=>([(0,7),(1,4),(1,5),(2,6),(3,6),(3,7),(4,2),(5,3)],8)
[7,4,1,6,2,8,3,5]=>([(0,7),(1,5),(1,6),(2,3),(2,6),(3,4),(3,7),(4,5),(6,7)],8)
[8,4,1,7,2,6,3,5]=>([(1,5),(1,6),(1,7),(2,3),(2,5),(3,4),(3,7),(4,6)],8)
[8,1,4,7,5,2,3,6]=>([(1,5),(1,6),(3,7),(4,7),(5,4),(6,2),(6,3)],8)
[8,1,5,4,7,2,3,6]=>([(1,3),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[2,1,7,5,8,3,4,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(5,2),(6,3),(7,3),(7,4)],8)
[7,1,5,4,8,2,3,6]=>([(0,7),(1,3),(1,4),(1,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[7,1,4,8,5,2,3,6]=>([(0,7),(1,4),(1,5),(2,6),(3,6),(4,2),(5,3),(5,7)],8)
[6,4,1,7,2,3,8,5]=>([(0,7),(1,5),(1,7),(2,3),(2,7),(3,4),(4,5),(4,6),(7,6)],8)
[7,8,3,1,2,4,6,5]=>([(0,7),(1,6),(2,5),(6,7),(7,3),(7,4)],8)
[8,7,1,6,4,2,3,5]=>([(2,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)
[8,6,1,7,4,2,3,5]=>([(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(5,7)],8)
[7,6,1,8,4,2,3,5]=>([(0,7),(1,7),(2,3),(2,4),(2,7),(3,5),(4,6),(5,6)],8)
[7,3,8,1,2,4,6,5]=>([(0,6),(1,6),(1,7),(2,3),(3,7),(7,4),(7,5)],8)
[8,3,7,1,2,4,6,5]=>([(1,6),(2,5),(2,7),(6,7),(7,3),(7,4)],8)
[8,3,6,1,2,4,7,5]=>([(1,3),(2,5),(2,7),(3,7),(5,6),(7,4),(7,6)],8)
[8,3,7,5,1,2,4,6]=>([(1,5),(2,3),(2,4),(2,6),(4,7),(5,6),(6,7)],8)
[7,3,6,1,2,4,8,5]=>([(0,7),(1,4),(2,3),(2,6),(3,7),(4,6),(6,5),(6,7)],8)
[6,7,1,8,4,2,3,5]=>([(0,4),(1,3),(1,5),(1,7),(2,6),(3,6),(4,7),(5,2)],8)
[6,8,1,7,4,2,3,5]=>([(0,4),(0,7),(1,3),(1,5),(1,7),(2,6),(3,6),(5,2)],8)
[7,1,8,5,4,2,3,6]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,2)],8)
[7,1,8,4,5,2,3,6]=>([(0,7),(1,4),(1,5),(1,7),(2,6),(3,6),(4,3),(5,2)],8)
[2,1,7,8,5,3,4,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(3,4),(5,3),(6,2),(7,4)],8)
[7,6,3,1,2,4,8,5]=>([(0,7),(1,7),(2,6),(3,4),(4,6),(6,5),(6,7)],8)
[6,1,2,3,8,7,5,4]=>([(0,6),(0,7),(1,4),(4,5),(5,2),(5,3),(5,6),(5,7)],8)
[6,8,1,4,2,3,7,5]=>([(0,4),(0,7),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(5,2)],8)
[6,8,3,1,2,7,4,5]=>([(0,6),(0,7),(1,4),(2,3),(2,7),(4,6),(4,7),(6,5)],8)
[6,7,3,1,2,8,4,5]=>([(0,6),(0,7),(1,3),(2,4),(3,7),(4,6),(4,7),(6,5)],8)
[6,7,1,4,2,3,8,5]=>([(0,4),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(4,7),(5,2)],8)
[4,3,6,8,5,7,1,2]=>([(0,5),(0,7),(1,5),(1,7),(2,4),(5,6),(7,3),(7,6)],8)
[6,1,2,5,4,8,3,7]=>([(0,6),(0,7),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3),(5,4)],8)
[7,2,1,5,8,3,4,6]=>([(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(6,3),(7,4),(7,5)],8)
[1,3,6,8,7,4,2,5]=>([(0,4),(0,6),(3,7),(4,7),(5,1),(5,2),(6,3),(6,5)],8)
[1,2,8,5,7,3,4,6]=>([(0,6),(3,7),(4,3),(5,1),(5,7),(6,2),(6,4),(6,5)],8)
[2,6,1,5,8,3,4,7]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,7),(3,4),(3,7),(5,2),(6,4),(6,7)],8)
[5,7,1,6,8,4,3,2]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(1,7),(5,6),(7,6)],8)
[4,8,1,2,5,7,3,6]=>([(0,4),(0,7),(1,5),(3,6),(5,3),(5,7),(7,2),(7,6)],8)
[8,4,6,2,5,7,3,1]=>([(2,4),(2,6),(3,5),(3,6),(5,7),(6,7)],8)
[8,3,6,4,7,2,5,1]=>([(2,6),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[3,8,1,4,7,2,5,6]=>([(0,5),(0,7),(1,4),(1,7),(5,6),(6,3),(7,2),(7,6)],8)
[1,7,8,4,6,2,5,3]=>([(0,4),(0,5),(0,6),(4,1),(5,3),(5,7),(6,2),(6,7)],8)
[3,7,4,8,5,1,6,2]=>([(0,4),(0,7),(1,3),(1,5),(2,7),(3,6),(5,2),(5,6)],8)
[3,7,1,6,5,4,8,2]=>([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,7)],8)
[2,7,3,1,5,8,4,6]=>([(0,2),(0,3),(1,6),(1,7),(2,5),(3,6),(3,7),(6,4),(7,4),(7,5)],8)
[2,7,4,6,8,1,3,5]=>([(0,7),(1,3),(1,4),(1,7),(2,5),(3,5),(4,2),(4,6),(7,6)],8)
[2,7,5,8,6,4,1,3]=>([(0,7),(1,3),(1,4),(1,5),(1,7),(4,6),(5,2),(5,6)],8)
[8,2,6,7,5,4,3,1]=>([(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[3,8,7,1,6,4,5,2]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(7,2)],8)
[3,6,8,2,7,4,1,5]=>([(0,6),(1,5),(1,7),(2,3),(2,5),(3,4),(3,7),(5,6)],8)
[1,5,2,8,7,4,6,3]=>([(0,3),(0,4),(2,5),(3,5),(3,6),(3,7),(4,1),(4,2),(4,6),(4,7)],8)
[3,4,2,7,8,1,6,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,5),(3,6),(3,7),(5,4)],8)
[4,1,3,7,5,6,8,2]=>([(0,6),(0,7),(1,2),(1,3),(3,6),(3,7),(4,5),(6,5),(7,4)],8)
[6,3,8,1,7,4,2,5]=>([(0,4),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,7),(3,6),(5,6)],8)
[6,5,8,7,1,4,2,3]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(4,5)],8)
[4,1,7,3,8,5,2,6]=>([(0,2),(0,3),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(6,5),(7,4)],8)
[3,6,1,4,5,8,2,7]=>([(0,3),(0,6),(1,4),(1,6),(2,5),(2,7),(3,7),(4,5),(4,7),(6,2)],8)
[1,6,7,4,5,3,8,2]=>([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(4,7),(5,2),(6,1)],8)
[6,1,7,3,5,4,8,2]=>([(0,6),(1,2),(1,5),(1,6),(3,7),(4,7),(5,3),(5,4),(6,7)],8)
[6,3,1,2,5,8,4,7]=>([(0,4),(0,7),(1,5),(1,6),(2,3),(3,5),(3,6),(5,7),(6,4),(6,7)],8)
[1,4,7,2,8,5,3,6]=>([(0,3),(0,4),(1,7),(2,5),(3,2),(3,6),(4,1),(4,5),(4,6),(6,7)],8)
[5,6,8,7,2,4,1,3]=>([(0,7),(1,6),(2,5),(2,7),(6,3),(6,4)],8)
[6,8,5,7,1,2,4,3]=>([(0,7),(1,6),(2,5),(2,7),(6,3),(6,4)],8)
[2,8,4,1,7,5,6,3]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(4,5),(4,7),(7,2)],8)
[8,2,4,3,7,5,6,1]=>([(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[6,8,2,1,5,7,3,4]=>([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(5,6),(7,3)],8)
[7,2,8,4,1,6,3,5]=>([(0,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(7,4)],8)
[1,2,4,8,6,5,3,7]=>([(0,5),(2,7),(3,7),(4,7),(5,4),(5,6),(6,1),(6,2),(6,3)],8)
[7,1,5,6,8,4,3,2]=>([(0,7),(1,2),(1,3),(1,4),(1,6),(5,7),(6,5)],8)
[2,7,8,1,4,6,3,5]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(4,3),(6,5),(7,2),(7,5)],8)
[4,8,2,5,7,1,6,3]=>([(0,5),(0,7),(1,5),(1,6),(2,4),(2,7),(7,3),(7,6)],8)
[4,1,6,8,5,3,7,2]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(4,7),(5,7),(6,2),(6,7)],8)
[5,2,6,4,8,3,1,7]=>([(0,7),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,1,3,4,5,8,2]=>([(0,4),(1,2),(1,6),(3,7),(4,7),(5,3),(6,5)],8)
[1,7,3,2,4,8,5,6]=>([(0,2),(0,3),(0,4),(2,7),(3,6),(4,6),(5,1),(6,5),(6,7)],8)
[1,3,6,5,2,8,4,7]=>([(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(4,1),(4,2),(4,5),(5,7)],8)
[7,1,6,5,3,4,8,2]=>([(0,7),(1,2),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,3)],8)
[6,3,4,2,8,7,5,1]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[4,3,8,7,5,2,6,1]=>([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,7)],8)
[6,8,7,4,2,3,5,1]=>([(1,7),(2,6),(3,4),(3,5),(6,7)],8)
[3,6,4,5,2,8,7,1]=>([(1,6),(1,7),(2,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,1,3,5,4,2,7]=>([(1,7),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[5,3,8,6,1,2,4,7]=>([(0,3),(1,5),(1,6),(2,5),(2,6),(2,7),(3,7),(6,4),(7,4)],8)
[2,5,6,3,4,8,7,1]=>([(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,3),(5,2)],8)
[2,5,3,6,8,7,4,1]=>([(1,3),(1,6),(3,7),(6,2),(6,7),(7,4),(7,5)],8)
[4,8,7,3,5,2,6,1]=>([(1,7),(2,6),(3,4),(3,5),(3,6),(6,7)],8)
[3,8,7,2,6,4,5,1]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[6,3,5,4,8,7,2,1]=>([(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,8,6,1,5,2,7]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,7),(5,7),(6,7)],8)
[4,7,6,2,5,3,8,1]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[7,5,2,6,8,1,4,3]=>([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(6,7)],8)
[8,5,2,7,1,4,3,6]=>([(1,4),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[1,8,5,3,6,2,4,7]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
[5,1,7,2,4,3,8,6]=>([(0,5),(0,7),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,2),(4,3),(5,6)],8)
[1,5,3,4,8,6,2,7]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(3,5),(3,6),(4,1),(6,7)],8)
[5,4,1,3,8,6,2,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(7,5)],8)
[5,1,8,6,3,4,2,7]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,2),(6,7)],8)
[4,5,2,8,3,7,6,1]=>([(1,4),(2,3),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,2,3,7,6,4,5,1]=>([(2,7),(6,5),(7,3),(7,4),(7,6)],8)
[5,8,2,4,7,6,3,1]=>([(1,4),(1,6),(1,7),(2,3),(2,5),(5,6),(5,7)],8)
[6,8,2,5,3,4,7,1]=>([(1,3),(1,7),(2,5),(2,6),(4,7),(5,7),(6,4)],8)
[7,2,5,6,4,8,1,3]=>([(0,7),(1,6),(2,3),(2,4),(2,6),(3,5),(4,7),(5,7)],8)
[1,6,7,4,8,2,3,5]=>([(0,3),(0,4),(0,5),(1,7),(2,6),(3,6),(3,7),(4,2),(5,1)],8)
[7,1,3,5,8,2,6,4]=>([(0,7),(1,3),(1,4),(2,5),(2,7),(3,5),(3,6),(4,2),(4,6)],8)
[8,2,1,3,5,6,7,4]=>([(1,7),(2,7),(5,3),(6,5),(7,4),(7,6)],8)
[6,3,1,4,7,5,8,2]=>([(0,6),(1,5),(2,3),(2,6),(4,7),(5,7),(6,4),(6,5)],8)
[4,1,3,8,2,6,7,5]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(3,6),(3,7),(4,5),(4,6),(4,7),(7,2)],8)
[2,8,3,6,7,5,4,1]=>([(1,5),(1,7),(6,4),(7,2),(7,3),(7,6)],8)
[3,1,7,2,8,5,4,6]=>([(0,2),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,4)],8)
[3,6,1,4,7,2,8,5]=>([(0,3),(0,7),(1,2),(1,7),(2,6),(3,4),(3,5),(6,5),(7,4),(7,6)],8)
[1,5,8,4,7,2,3,6]=>([(0,3),(0,4),(0,5),(2,7),(3,6),(3,7),(4,2),(5,1),(5,6),(5,7)],8)
[7,1,3,6,2,8,4,5]=>([(0,7),(1,3),(1,5),(2,7),(3,6),(3,7),(5,2),(5,6),(6,4)],8)
[6,2,7,4,5,8,1,3]=>([(0,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,7),(6,7)],8)
[2,1,8,4,5,7,3,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(3,2),(3,4),(6,3),(7,4)],8)
[1,8,5,7,3,2,4,6]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,7),(6,7)],8)
[2,1,8,5,4,3,6,7]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(4,7),(5,7),(6,7),(7,2)],8)
[2,7,4,1,5,3,8,6]=>([(0,2),(0,3),(0,6),(1,5),(1,6),(2,7),(3,5),(5,4),(5,7),(6,4),(6,7)],8)
[7,4,8,6,2,3,1,5]=>([(0,7),(1,6),(2,5),(3,4),(3,6),(3,7),(5,7)],8)
[2,7,1,4,6,3,8,5]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,7),(3,7),(5,4),(5,7),(6,2),(6,4)],8)
[4,7,5,6,8,1,3,2]=>([(0,3),(0,4),(1,5),(1,6),(2,7),(5,7),(6,2)],8)
[7,1,3,2,8,5,4,6]=>([(0,7),(1,2),(1,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4),(6,4)],8)
[2,8,5,4,1,3,6,7]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(3,7),(4,7),(6,7),(7,5)],8)
[5,1,7,4,2,3,8,6]=>([(0,5),(0,7),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,2),(5,6)],8)
[3,8,6,5,1,4,2,7]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,3,4,8,6,5,2,7]=>([(0,4),(0,5),(2,7),(3,7),(4,7),(5,6),(6,1),(6,2),(6,3)],8)
[4,1,8,6,5,3,2,7]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(5,7),(6,7)],8)
[4,8,5,2,7,3,6,1]=>([(1,4),(1,6),(2,3),(2,5),(4,7),(5,6),(5,7)],8)
[7,2,8,5,3,6,4,1]=>([(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(4,7)],8)
[5,2,8,4,3,7,6,1]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[8,4,7,5,2,3,6,1]=>([(2,6),(3,4),(3,5),(5,7),(6,7)],8)
[7,5,2,8,4,6,1,3]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(3,7),(4,6)],8)
[5,7,4,3,6,2,8,1]=>([(1,7),(2,6),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[6,7,5,1,2,8,3,4]=>([(0,7),(1,6),(2,4),(4,7),(5,3),(6,5),(6,7)],8)
[5,2,6,8,3,4,7,1]=>([(1,7),(2,4),(2,7),(4,5),(5,6),(7,3),(7,6)],8)
[7,6,2,4,5,8,3,1]=>([(1,7),(2,7),(3,4),(3,5),(5,6),(6,7)],8)
[3,6,8,4,7,2,5,1]=>([(1,6),(2,3),(2,4),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,3,8,4,2,5,1]=>([(1,7),(2,7),(3,6),(4,5),(4,7),(5,6)],8)
[2,6,3,8,4,7,5,1]=>([(1,3),(1,5),(3,6),(3,7),(4,2),(4,7),(5,4),(5,6)],8)
[7,2,3,6,5,8,4,1]=>([(1,7),(2,6),(4,7),(5,7),(6,3),(6,4),(6,5)],8)
[6,2,7,5,8,3,1,4]=>([(0,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,7),(5,7)],8)
[2,8,3,6,4,5,7,1]=>([(1,2),(1,6),(3,7),(4,7),(5,4),(6,3),(6,5)],8)
[2,1,5,6,8,3,7,4]=>([(0,6),(0,7),(1,6),(1,7),(4,3),(4,5),(6,4),(7,2),(7,5)],8)
[5,8,1,2,6,4,7,3]=>([(0,4),(0,7),(1,5),(3,6),(5,2),(5,3),(5,7),(7,6)],8)
[1,6,8,3,2,7,4,5]=>([(0,3),(0,4),(0,5),(3,6),(3,7),(4,6),(4,7),(5,1),(5,7),(6,2)],8)
[6,5,7,2,8,4,1,3]=>([(0,5),(1,5),(2,6),(3,4),(3,6),(3,7),(5,7)],8)
[7,5,1,2,8,4,6,3]=>([(0,3),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(5,6)],8)
[5,4,8,3,6,2,7,1]=>([(1,7),(2,6),(3,5),(3,7),(4,5),(4,7),(7,6)],8)
[5,8,2,7,4,3,6,1]=>([(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[6,4,5,8,2,7,3,1]=>([(1,6),(1,7),(2,5),(3,4),(3,7),(5,6),(5,7)],8)
[5,7,3,6,4,8,2,1]=>([(2,5),(2,6),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[1,5,6,4,8,2,7,3]=>([(0,3),(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,2),(5,1),(5,7)],8)
[3,1,5,6,4,8,7,2]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(3,4),(3,5),(6,3),(7,4),(7,5)],8)
[3,5,1,6,4,7,8,2]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(4,5),(5,7),(6,7),(7,2)],8)
[3,6,1,4,2,7,8,5]=>([(0,3),(0,6),(1,4),(1,6),(3,7),(4,5),(4,7),(6,5),(6,7),(7,2)],8)
[1,2,6,4,3,8,5,7]=>([(0,4),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,1),(4,2),(4,3),(5,6)],8)
[1,2,6,3,5,8,7,4]=>([(0,5),(2,6),(2,7),(3,6),(3,7),(4,1),(4,3),(5,2),(5,4)],8)
[2,3,5,1,8,4,7,6]=>([(0,2),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(3,6),(7,4),(7,5)],8)
[2,3,6,1,8,5,4,7]=>([(0,3),(1,4),(1,5),(1,6),(2,6),(2,7),(3,2),(3,4),(3,5),(4,7),(5,7)],8)
[3,1,7,5,4,8,6,2]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(4,7),(5,3),(5,7),(6,3),(6,7)],8)
[1,2,7,6,4,8,5,3]=>([(0,6),(3,7),(4,7),(5,2),(5,7),(6,1),(6,3),(6,4),(6,5)],8)
[1,2,7,3,6,8,5,4]=>([(0,5),(3,7),(4,7),(5,4),(5,6),(6,1),(6,2),(6,3)],8)
[2,3,6,1,8,5,7,4]=>([(0,3),(1,4),(1,6),(1,7),(2,5),(2,6),(3,2),(3,4),(3,7),(7,5)],8)
[1,2,5,8,4,7,3,6]=>([(0,5),(2,7),(3,6),(3,7),(4,1),(4,6),(4,7),(5,2),(5,3),(5,4)],8)
[1,3,6,8,5,2,7,4]=>([(0,3),(0,5),(2,7),(3,6),(3,7),(4,1),(4,7),(5,2),(5,4),(5,6)],8)
[1,2,6,8,5,4,3,7]=>([(0,6),(2,7),(3,7),(4,7),(5,1),(5,7),(6,2),(6,3),(6,4),(6,5)],8)
[1,3,5,8,2,4,7,6]=>([(0,2),(0,4),(2,5),(3,1),(3,6),(3,7),(4,3),(4,5),(5,6),(5,7)],8)
[1,4,6,8,3,2,5,7]=>([(0,2),(0,3),(0,5),(2,7),(3,7),(4,1),(4,6),(5,4),(5,7),(7,6)],8)
[1,3,7,5,6,8,2,4]=>([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(5,4),(5,7)],8)
[1,2,6,7,3,8,5,4]=>([(0,6),(3,7),(4,3),(5,1),(5,2),(5,7),(6,4),(6,5)],8)
[1,2,5,7,3,8,6,4]=>([(0,5),(2,6),(3,2),(3,7),(4,1),(4,6),(4,7),(5,3),(5,4)],8)
[3,1,5,7,6,8,4,2]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(3,5),(4,5),(7,3),(7,4)],8)
[3,5,4,6,8,2,7,1]=>([(1,6),(2,3),(2,4),(3,7),(4,7),(7,5),(7,6)],8)
[2,3,6,5,8,7,1,4]=>([(0,7),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(4,7)],8)
[1,2,7,5,6,8,4,3]=>([(0,6),(3,7),(4,7),(5,4),(6,1),(6,2),(6,3),(6,5)],8)
[3,1,6,7,5,8,4,2]=>([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(3,4),(6,3),(7,4)],8)
[4,6,2,7,5,8,3,1]=>([(1,4),(1,5),(2,3),(2,5),(2,7),(4,7),(5,6),(7,6)],8)
[3,5,7,4,8,2,6,1]=>([(1,7),(2,3),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
[2,4,7,6,8,3,5,1]=>([(1,4),(1,5),(2,6),(3,6),(4,7),(5,2),(5,3),(5,7)],8)
[1,4,6,8,3,5,7,2]=>([(0,2),(0,3),(0,5),(3,6),(4,1),(4,7),(5,4),(5,6),(6,7)],8)
[1,3,5,8,2,7,4,6]=>([(0,2),(0,4),(2,5),(2,6),(3,1),(3,6),(3,7),(4,3),(4,5),(5,7)],8)
[1,2,5,8,4,7,6,3]=>([(0,5),(3,6),(3,7),(4,2),(4,6),(4,7),(5,1),(5,3),(5,4)],8)
[1,2,5,8,7,4,3,6]=>([(0,6),(3,7),(4,7),(5,1),(5,2),(5,7),(6,3),(6,4),(6,5)],8)
[1,3,5,8,7,2,4,6]=>([(0,3),(0,4),(3,6),(4,5),(4,6),(5,1),(5,2),(5,7),(6,7)],8)
[5,7,1,2,8,6,4,3]=>([(0,4),(0,7),(1,5),(4,6),(5,2),(5,3),(5,6),(5,7)],8)
[6,4,5,7,2,8,1,3]=>([(0,7),(1,5),(2,5),(2,6),(3,4),(4,7),(7,6)],8)
[5,3,4,7,2,8,1,6]=>([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(4,6),(4,7),(6,5)],8)
[3,2,7,4,6,8,1,5]=>([(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(6,5),(7,3),(7,4)],8)
[5,3,6,2,7,1,4,8]=>([(0,4),(1,7),(2,4),(2,7),(3,6),(3,7),(4,6),(6,5),(7,5)],8)
[2,6,3,4,7,1,5,8]=>([(0,7),(1,3),(1,4),(2,5),(2,7),(3,5),(4,2),(5,6),(7,6)],8)
[2,7,3,4,5,8,1,6]=>([(0,7),(1,3),(1,5),(2,6),(2,7),(3,6),(4,2),(5,4)],8)
[3,7,4,5,6,8,1,2]=>([(0,4),(1,3),(1,6),(2,7),(3,7),(5,2),(6,5)],8)
[2,5,7,3,6,8,1,4]=>([(0,7),(1,3),(1,4),(2,6),(3,5),(3,7),(4,2),(4,5),(5,6)],8)
[4,7,6,2,3,8,1,5]=>([(0,6),(1,5),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6),(5,7)],8)
[7,3,5,2,4,8,1,6]=>([(0,7),(1,6),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,2,4,5,8,1,3]=>([(0,7),(1,7),(2,6),(3,4),(3,6),(4,5),(5,7)],8)
[6,5,2,3,4,8,1,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)
[5,3,1,2,8,4,7,6]=>([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(3,6),(3,7),(6,4),(6,5)],8)
[6,5,2,3,7,1,4,8]=>([(0,6),(1,7),(2,7),(3,4),(4,6),(4,7),(6,5),(7,5)],8)
[5,2,1,7,3,4,6,8]=>([(0,5),(0,7),(1,5),(1,7),(2,6),(2,7),(3,6),(5,3),(6,4),(7,4)],8)
[5,2,1,8,3,4,6,7]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(4,6),(5,4),(6,3)],8)
[6,3,2,8,4,5,7,1]=>([(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,4)],8)
[7,3,1,2,8,4,6,5]=>([(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(6,4),(6,5)],8)
[6,4,1,3,8,5,7,2]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(4,6),(4,7),(6,5)],8)
[6,2,3,1,8,4,7,5]=>([(0,6),(0,7),(1,5),(1,7),(2,4),(4,6),(4,7),(6,3),(6,5)],8)
[8,3,5,2,7,1,4,6]=>([(1,7),(2,5),(2,7),(3,4),(3,7),(4,5),(4,6),(7,6)],8)
[8,6,2,4,7,1,5,3]=>([(1,6),(2,5),(2,7),(3,4),(3,5),(4,6),(4,7)],8)
[8,5,2,3,6,1,4,7]=>([(1,7),(2,6),(3,4),(4,6),(4,7),(6,5),(7,5)],8)
[8,2,1,7,3,4,5,6]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(5,4),(7,3)],8)
[8,6,3,7,2,4,5,1]=>([(2,7),(3,6),(4,6),(4,7),(7,5)],8)
[7,1,6,2,3,4,5,8]=>([(0,7),(1,3),(1,6),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[8,2,7,3,4,5,6,1]=>([(2,4),(2,7),(5,6),(6,3),(7,5)],8)
[8,1,6,2,3,4,5,7]=>([(1,3),(1,6),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[8,1,7,3,4,5,6,2]=>([(1,3),(1,4),(1,7),(5,6),(6,2),(7,5)],8)
[8,6,1,7,2,4,5,3]=>([(1,7),(2,6),(2,7),(5,4),(6,3),(6,5)],8)
[8,1,5,7,2,3,6,4]=>([(1,4),(1,6),(4,5),(5,2),(5,7),(6,3),(6,7)],8)
[1,7,5,8,2,3,6,4]=>([(0,2),(0,3),(0,5),(2,6),(3,6),(3,7),(4,1),(4,7),(5,4)],8)
[7,2,1,8,3,4,5,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(5,4),(6,3)],8)
[7,3,8,2,4,5,6,1]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(7,4)],8)
[7,2,8,3,4,5,6,1]=>([(1,7),(2,6),(2,7),(4,5),(5,3),(6,4)],8)
[1,7,8,3,4,5,6,2]=>([(0,3),(0,6),(0,7),(4,5),(5,2),(6,4),(7,1)],8)
[1,4,5,8,3,6,7,2]=>([(0,3),(0,4),(0,6),(4,7),(5,1),(5,7),(6,5),(7,2)],8)
[2,5,7,1,8,3,6,4]=>([(0,6),(0,7),(1,4),(1,7),(3,6),(4,3),(4,5),(7,2),(7,5)],8)
[6,2,7,1,8,4,5,3]=>([(0,7),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(6,3),(7,4)],8)
[4,7,1,3,8,5,6,2]=>([(0,5),(0,7),(1,3),(1,4),(4,6),(4,7),(5,6),(7,2)],8)
[1,6,2,8,4,5,7,3]=>([(0,3),(0,5),(2,6),(3,6),(3,7),(4,2),(5,1),(5,4),(5,7)],8)
[4,1,3,6,8,2,7,5]=>([(0,6),(0,7),(1,3),(1,4),(3,6),(3,7),(4,5),(4,7),(6,2),(6,5)],8)
[5,3,4,6,8,2,7,1]=>([(1,7),(2,6),(3,4),(4,7),(7,5),(7,6)],8)
[4,6,3,8,7,1,2,5]=>([(0,5),(0,6),(0,7),(1,3),(2,4),(2,7),(3,7),(4,5),(4,6)],8)
[6,4,5,8,7,1,2,3]=>([(0,6),(0,7),(1,3),(2,4),(3,5),(4,6),(4,7)],8)
[5,3,4,8,7,1,2,6]=>([(0,5),(0,6),(0,7),(1,3),(2,4),(3,7),(4,5),(4,6),(4,7)],8)
[3,2,8,7,1,4,6,5]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(7,3),(7,4)],8)
[3,1,8,7,2,4,6,5]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(4,7),(7,2),(7,3)],8)
[5,3,7,6,1,2,4,8]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(3,6),(4,7),(5,7),(6,7)],8)
[1,8,3,7,2,4,5,6]=>([(0,3),(0,4),(0,6),(4,7),(5,2),(6,1),(6,7),(7,5)],8)
[3,8,1,7,2,4,5,6]=>([(0,4),(0,7),(1,3),(1,6),(1,7),(4,6),(5,2),(6,5)],8)
[6,8,2,3,5,1,4,7]=>([(0,6),(1,4),(2,3),(2,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,7,8,2,6,1,3,5]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(5,7)],8)
[6,2,8,7,1,4,5,3]=>([(0,4),(0,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[3,8,7,1,4,5,6,2]=>([(0,5),(0,7),(1,3),(1,4),(1,7),(6,2),(7,6)],8)
[2,8,6,1,3,4,5,7]=>([(0,7),(1,2),(1,4),(1,7),(3,6),(4,6),(5,3),(7,5)],8)
[2,7,6,1,3,4,5,8]=>([(0,6),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(5,2),(6,5)],8)
[1,7,6,2,3,4,5,8]=>([(0,2),(0,3),(0,6),(1,7),(2,7),(3,7),(4,5),(5,1),(6,4)],8)
[1,8,6,2,3,4,5,7]=>([(0,2),(0,3),(0,6),(1,7),(3,7),(4,5),(5,1),(6,4)],8)
[2,8,7,3,4,5,6,1]=>([(1,3),(1,4),(1,7),(5,6),(6,2),(7,5)],8)
[3,8,7,2,4,5,6,1]=>([(1,7),(2,4),(2,5),(2,7),(6,3),(7,6)],8)
[7,8,3,6,2,4,5,1]=>([(1,7),(2,5),(3,4),(3,7),(7,6)],8)
[1,5,8,7,2,3,6,4]=>([(0,5),(0,6),(4,3),(4,7),(5,4),(6,1),(6,2),(6,7)],8)
[8,7,6,1,3,4,5,2]=>([(3,4),(3,5),(5,6),(6,7)],8)
[3,6,2,4,7,1,8,5]=>([(0,7),(1,3),(1,7),(2,4),(2,5),(3,6),(6,5),(7,4),(7,6)],8)
[3,4,7,2,5,1,8,6]=>([(0,6),(1,5),(1,7),(2,3),(3,4),(3,6),(4,7),(6,5),(6,7)],8)
[2,1,6,4,8,5,3,7]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(4,7),(5,3),(5,7),(6,2),(6,3)],8)
[4,1,8,5,3,2,7,6]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(5,6),(5,7)],8)
[3,6,2,5,7,1,4,8]=>([(0,7),(1,4),(1,7),(2,3),(2,4),(2,7),(3,6),(4,6),(6,5),(7,5)],8)
[1,2,8,3,7,5,4,6]=>([(0,5),(3,7),(4,7),(5,2),(5,6),(6,1),(6,3),(6,4)],8)
[6,1,3,2,8,5,4,7]=>([(0,6),(0,7),(1,2),(1,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
[5,6,1,2,8,4,3,7]=>([(0,4),(1,5),(2,7),(3,7),(4,6),(4,7),(5,2),(5,3),(5,6)],8)
[1,6,3,8,7,4,2,5]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(3,7),(4,1),(4,6),(4,7)],8)
[4,3,8,1,2,6,7,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,6),(4,7),(7,3)],8)
[3,6,8,7,1,2,5,4]=>([(0,4),(1,5),(1,6),(1,7),(4,6),(4,7),(5,2),(5,3)],8)
[6,5,7,2,4,8,1,3]=>([(0,5),(1,6),(2,6),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,1,6,5,8,7,2]=>([(0,3),(1,2),(1,6),(1,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[3,5,1,2,4,8,7,6]=>([(0,2),(1,3),(1,7),(2,7),(3,4),(3,5),(3,6),(7,4),(7,5),(7,6)],8)
[3,7,5,2,1,4,6,8]=>([(0,7),(1,7),(2,3),(2,4),(2,7),(3,6),(4,5),(5,6),(7,5)],8)
[3,8,5,2,7,4,1,6]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6),(4,7),(5,7)],8)
[5,2,8,4,7,3,1,6]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7)],8)
[5,2,7,4,1,3,6,8]=>([(0,5),(1,4),(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(5,7),(7,6)],8)
[4,3,5,1,2,8,7,6]=>([(0,3),(1,7),(2,7),(3,4),(3,5),(3,6),(7,4),(7,5),(7,6)],8)
[3,1,4,6,2,8,7,5]=>([(0,7),(1,3),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(7,2),(7,4)],8)
[1,4,6,5,2,8,7,3]=>([(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,1),(4,6),(4,7),(5,2),(5,3)],8)
[3,4,5,6,1,8,7,2]=>([(0,5),(1,3),(1,6),(1,7),(2,6),(2,7),(4,2),(5,4)],8)
[3,4,5,8,7,2,1,6]=>([(0,7),(1,7),(2,5),(5,6),(6,3),(6,4),(6,7)],8)
[1,4,7,2,6,3,5,8]=>([(0,3),(0,4),(1,7),(2,5),(3,2),(3,6),(4,1),(4,5),(4,6),(5,7),(6,7)],8)
[8,4,7,5,2,1,6,3]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(5,7)],8)
[8,1,4,7,2,3,6,5]=>([(1,4),(1,5),(3,6),(3,7),(4,3),(5,2),(5,6),(5,7)],8)
[1,8,5,7,3,4,6,2]=>([(0,3),(0,4),(0,5),(0,6),(2,7),(5,2),(6,1),(6,7)],8)
[6,3,5,1,7,4,2,8]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,7),(4,6),(5,7),(6,7)],8)
[6,1,4,8,7,3,2,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,7),(3,7),(4,5),(4,6),(4,7)],8)
[6,4,8,5,7,1,2,3]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(3,7),(4,5)],8)
[5,4,8,1,6,3,2,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(6,7)],8)
[1,4,8,6,3,7,2,5]=>([(0,3),(0,4),(0,5),(2,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,7)],8)
[5,4,7,6,3,8,1,2]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(5,7),(6,7)],8)
[4,6,3,7,5,8,1,2]=>([(0,5),(0,7),(1,3),(2,4),(2,5),(4,7),(5,6),(7,6)],8)
[4,1,3,5,8,6,2,7]=>([(0,7),(1,3),(1,5),(3,7),(4,6),(5,6),(7,2),(7,4)],8)
[5,7,4,3,8,1,2,6]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(3,5),(3,7),(4,7),(5,6)],8)
[1,4,8,3,7,6,5,2]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(3,7),(4,1),(4,5),(4,6),(4,7)],8)
[4,3,8,2,1,6,5,7]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(6,5),(7,5)],8)
[3,8,4,2,7,1,5,6]=>([(0,7),(1,6),(1,7),(2,3),(2,5),(5,6),(5,7),(7,4)],8)
[3,1,2,5,7,6,4,8]=>([(0,5),(0,6),(1,4),(2,7),(3,7),(4,5),(4,6),(5,7),(6,2),(6,3)],8)
[1,8,2,7,6,5,4,3]=>([(0,6),(0,7),(7,1),(7,2),(7,3),(7,4),(7,5)],8)
[3,8,1,6,7,5,4,2]=>([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(7,2)],8)
[3,7,2,6,8,5,1,4]=>([(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(5,6)],8)
[7,2,3,8,5,6,1,4]=>([(0,3),(1,7),(2,6),(3,5),(3,6),(3,7),(5,4)],8)
[8,2,1,7,5,6,4,3]=>([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[8,1,3,6,5,7,4,2]=>([(1,3),(1,6),(4,7),(5,7),(6,2),(6,4),(6,5)],8)
[8,2,4,3,6,1,5,7]=>([(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[1,7,8,5,4,3,6,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(3,7),(4,7),(5,7),(6,1)],8)
[1,8,4,5,3,2,6,7]=>([(0,3),(0,4),(0,5),(0,6),(1,7),(4,7),(5,7),(6,1),(7,2)],8)
[7,8,5,4,3,1,6,2]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,7)],8)
[7,1,6,3,4,2,5,8]=>([(0,7),(1,2),(1,4),(1,5),(2,7),(3,6),(4,6),(5,3),(6,7)],8)
[6,8,7,1,4,2,5,3]=>([(0,3),(0,4),(1,5),(1,6),(5,7),(6,2),(6,7)],8)
[3,6,1,4,2,7,5,8]=>([(0,3),(0,6),(1,2),(1,6),(2,7),(3,5),(3,7),(5,4),(6,5),(6,7),(7,4)],8)
[3,4,1,8,5,7,6,2]=>([(0,5),(1,4),(1,6),(1,7),(5,6),(5,7),(7,2),(7,3)],8)
[3,6,5,1,2,8,4,7]=>([(0,4),(1,2),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[3,8,5,6,7,2,1,4]=>([(0,7),(1,7),(2,4),(2,6),(2,7),(5,3),(6,5)],8)
[8,1,7,6,2,4,3,5]=>([(1,2),(1,3),(1,6),(4,7),(5,7),(6,4),(6,5)],8)
[8,5,6,1,4,2,3,7]=>([(1,5),(2,4),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[8,6,5,4,7,1,3,2]=>([(1,7),(2,7),(3,7),(4,5),(4,6)],8)
[1,6,4,5,7,2,3,8]=>([(0,3),(0,4),(0,5),(1,7),(2,6),(3,6),(4,1),(5,2),(6,7)],8)
[8,3,6,1,7,2,4,5]=>([(1,5),(1,7),(2,3),(2,6),(3,7),(5,6),(7,4)],8)
[1,8,6,5,7,3,4,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,1)],8)
[1,7,5,3,6,8,4,2]=>([(0,2),(0,3),(0,4),(0,5),(3,7),(4,6),(5,1),(5,6),(6,7)],8)
[7,4,1,6,5,8,3,2]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(5,7),(6,7)],8)
[4,1,5,8,7,6,3,2]=>([(0,7),(1,2),(1,3),(1,7),(7,4),(7,5),(7,6)],8)
[1,2,5,8,6,7,3,4]=>([(0,7),(4,2),(5,3),(6,1),(6,5),(7,4),(7,6)],8)
[4,2,1,5,8,7,3,6]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(5,6),(7,3),(7,4),(7,6)],8)
[5,2,4,6,1,7,3,8]=>([(0,7),(1,3),(1,6),(2,5),(2,6),(3,7),(5,4),(6,4),(7,5)],8)
[1,5,3,6,8,7,4,2]=>([(0,4),(0,5),(0,6),(5,7),(6,1),(6,7),(7,2),(7,3)],8)
[3,5,4,6,1,8,2,7]=>([(0,4),(0,7),(1,2),(1,3),(2,5),(3,5),(4,6),(5,6),(5,7)],8)
[3,1,5,7,6,8,2,4]=>([(0,6),(0,7),(1,2),(1,7),(2,6),(3,5),(4,5),(7,3),(7,4)],8)
[1,4,5,6,8,7,2,3]=>([(0,5),(0,6),(4,7),(5,3),(6,4),(7,1),(7,2)],8)
[1,4,6,3,7,2,8,5]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(2,7),(3,5),(3,7),(4,1),(4,7),(5,6)],8)
[1,7,3,6,5,2,8,4]=>([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(4,7),(5,1),(5,2),(5,6)],8)
[8,6,2,5,4,1,7,3]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[3,7,2,6,5,4,1,8]=>([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[7,6,2,5,4,3,1,8]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,7,5,2,6,3,1,8]=>([(0,7),(1,4),(1,6),(2,3),(2,5),(3,7),(4,7),(5,6),(6,7)],8)
[3,2,6,4,7,5,1,8]=>([(0,7),(1,4),(1,6),(2,4),(2,6),(3,7),(4,5),(5,7),(6,3),(6,5)],8)
[6,2,3,7,5,4,1,8]=>([(0,3),(1,7),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,3,4,7,6,2,8,5]=>([(0,3),(0,4),(1,7),(2,7),(3,6),(3,7),(4,5),(5,1),(5,2),(5,6)],8)
[2,8,3,6,1,7,5,4]=>([(0,5),(0,6),(0,7),(1,2),(1,4),(3,5),(4,3),(4,6),(4,7)],8)
[8,7,2,5,1,6,4,3]=>([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7)],8)
[3,8,2,6,5,1,7,4]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[7,8,2,5,4,1,6,3]=>([(0,6),(0,7),(1,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[4,8,5,2,6,1,7,3]=>([(0,5),(0,7),(1,5),(1,6),(2,3),(2,4),(4,7),(7,6)],8)
[4,5,1,3,7,2,8,6]=>([(0,4),(1,2),(1,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[6,1,3,7,5,2,8,4]=>([(0,6),(1,3),(1,4),(2,7),(3,5),(3,7),(4,2),(4,5),(4,6),(6,7)],8)
[7,1,3,6,2,8,5,4]=>([(0,7),(1,3),(1,4),(2,7),(3,5),(3,6),(3,7),(4,2),(4,5),(4,6)],8)
[8,1,3,6,2,7,5,4]=>([(1,3),(1,4),(2,5),(3,5),(3,6),(3,7),(4,2),(4,6),(4,7)],8)
[1,2,4,7,3,8,6,5]=>([(0,4),(1,5),(2,5),(2,6),(2,7),(3,1),(3,6),(3,7),(4,2),(4,3)],8)
[7,1,8,2,6,5,4,3]=>([(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5)],8)
[3,1,8,6,2,7,5,4]=>([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(7,3)],8)
[4,1,7,8,2,6,5,3]=>([(0,5),(0,6),(0,7),(1,4),(1,7),(4,3),(4,5),(4,6),(7,2)],8)
[5,6,1,8,2,7,4,3]=>([(0,4),(1,5),(1,7),(4,6),(4,7),(5,2),(5,3),(5,6)],8)
[4,2,7,8,1,6,5,3]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(5,3)],8)
[3,2,8,6,1,7,5,4]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(4,5)],8)
[7,2,8,1,6,5,4,3]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[1,8,7,2,6,5,4,3]=>([(0,5),(0,6),(0,7),(7,1),(7,2),(7,3),(7,4)],8)
[2,8,7,1,6,5,4,3]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)
[3,8,7,1,6,5,4,2]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7)],8)
[4,8,7,5,1,6,3,2]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(4,7)],8)
[6,7,8,5,1,4,3,2]=>([(1,7),(2,4),(2,5),(2,6),(7,3)],8)
[5,6,3,8,4,1,7,2]=>([(0,5),(1,3),(1,7),(2,4),(2,6),(4,7),(5,6),(5,7)],8)
[7,3,8,5,4,1,6,2]=>([(0,6),(1,3),(1,7),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[3,4,8,6,5,1,7,2]=>([(0,6),(1,5),(1,7),(3,7),(4,7),(6,2),(6,3),(6,4)],8)
[8,3,7,5,1,6,4,2]=>([(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(5,7)],8)
[1,4,8,6,2,7,5,3]=>([(0,4),(0,5),(3,6),(4,2),(4,6),(4,7),(5,1),(5,3),(5,7)],8)
[8,4,6,7,1,5,3,2]=>([(1,6),(1,7),(2,4),(2,5),(2,7),(6,3)],8)
[5,6,4,7,8,1,3,2]=>([(0,7),(1,5),(2,3),(2,4),(5,7),(7,6)],8)
[3,4,6,5,1,2,8,7]=>([(0,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3)],8)
[7,3,5,1,2,8,6,4]=>([(0,7),(1,4),(2,3),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,4,6,2,3,8,7,5]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,2),(4,1),(4,7)],8)
[1,3,2,7,4,8,6,5]=>([(0,3),(0,4),(3,5),(3,7),(4,5),(4,7),(5,6),(7,1),(7,2),(7,6)],8)
[7,2,1,6,3,8,5,4]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(5,7),(6,3),(6,4),(6,7)],8)
[2,3,1,7,6,4,8,5]=>([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,2),(6,7)],8)
[4,5,2,1,7,3,8,6]=>([(0,4),(0,7),(1,4),(1,7),(2,3),(3,6),(3,7),(4,5),(4,6),(7,5)],8)
[5,6,7,1,2,8,4,3]=>([(0,6),(1,5),(4,7),(5,4),(6,2),(6,3),(6,7)],8)
[4,7,5,1,2,8,6,3]=>([(0,5),(1,3),(1,4),(3,7),(4,6),(4,7),(5,2),(5,6),(5,7)],8)
[3,7,1,6,2,8,5,4]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,7),(3,4),(3,5),(3,7),(6,7)],8)
[7,6,1,2,8,5,4,3]=>([(0,7),(1,7),(2,6),(6,3),(6,4),(6,5),(6,7)],8)
[2,7,1,3,8,6,5,4]=>([(0,7),(1,5),(1,7),(5,6),(7,2),(7,3),(7,4),(7,6)],8)
[8,6,1,2,7,5,4,3]=>([(1,7),(2,6),(6,3),(6,4),(6,5),(6,7)],8)
[1,7,2,3,8,6,5,4]=>([(0,4),(0,5),(4,7),(5,6),(6,1),(6,2),(6,3),(6,7)],8)
[8,7,1,2,6,5,4,3]=>([(2,7),(7,3),(7,4),(7,5),(7,6)],8)
[7,8,1,2,6,5,4,3]=>([(0,6),(1,7),(7,2),(7,3),(7,4),(7,5)],8)
[3,8,1,6,2,7,5,4]=>([(0,3),(0,7),(1,2),(1,5),(1,6),(1,7),(3,4),(3,5),(3,6),(7,4)],8)
[4,8,5,1,2,7,6,3]=>([(0,5),(1,3),(1,4),(4,6),(4,7),(5,2),(5,6),(5,7)],8)
[5,6,8,1,2,7,4,3]=>([(0,6),(1,5),(5,4),(5,7),(6,2),(6,3),(6,7)],8)
[2,1,3,7,4,8,6,5]=>([(0,7),(1,7),(4,6),(5,2),(5,3),(5,6),(7,4),(7,5)],8)
[4,2,7,3,6,8,1,5]=>([(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(6,5)],8)
[5,3,6,4,2,8,1,7]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,5,3,8,2,7,6]=>([(0,4),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,2,6,4,7,3,1,8]=>([(0,7),(1,5),(2,3),(2,4),(2,5),(3,6),(4,7),(5,6),(6,7)],8)
[2,6,3,4,7,5,1,8]=>([(0,7),(1,3),(1,4),(2,7),(3,6),(4,5),(5,2),(5,6),(6,7)],8)
[2,6,3,5,4,8,1,7]=>([(0,7),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3)],8)
[2,7,4,3,5,8,1,6]=>([(0,7),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6),(5,7)],8)
[7,3,6,4,2,8,1,5]=>([(0,7),(1,6),(2,6),(2,7),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[7,6,4,5,2,8,1,3]=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(5,7)],8)
[5,4,3,1,8,2,7,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7)],8)
[6,5,4,2,7,3,1,8]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,7),(5,6),(7,6)],8)
[5,4,1,7,2,6,3,8]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,5),(3,4),(3,7),(4,6),(5,6),(7,6)],8)
[5,4,1,8,3,2,6,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(3,7),(4,7),(7,5)],8)
[6,5,2,8,3,4,7,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(5,7)],8)
[7,4,2,1,8,3,6,5]=>([(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8)
[6,5,3,4,8,2,7,1]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[6,1,5,3,8,2,7,4]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7)],8)
[4,6,3,1,8,2,7,5]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(2,3),(2,5),(3,6),(3,7),(4,5),(4,7)],8)
[5,8,4,2,7,3,1,6]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(5,7)],8)
[8,2,6,4,7,3,1,5]=>([(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(5,6),(5,7)],8)
[8,6,2,5,7,4,1,3]=>([(1,7),(2,6),(3,4),(3,5),(3,6),(5,7)],8)
[8,5,3,2,6,4,1,7]=>([(1,7),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,3,1,7,2,5,4,6]=>([(1,3),(1,5),(2,5),(2,6),(2,7),(3,6),(3,7),(6,4),(7,4)],8)
[7,5,2,6,4,3,1,8]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[7,1,6,2,5,4,3,8]=>([(0,7),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2),(6,3),(6,4)],8)
[8,1,7,3,5,6,4,2]=>([(1,4),(1,5),(1,7),(6,3),(7,2),(7,6)],8)
[8,6,1,7,4,5,2,3]=>([(1,7),(2,5),(2,6),(2,7),(5,4),(6,3)],8)
[8,1,3,7,2,6,5,4]=>([(1,3),(1,4),(3,5),(3,6),(3,7),(4,2),(4,5),(4,6),(4,7)],8)
[1,7,6,8,3,2,4,5]=>([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,6),(7,1)],8)
[7,1,5,8,4,2,6,3]=>([(0,6),(1,3),(1,4),(1,5),(3,7),(4,6),(4,7),(5,2),(5,7)],8)
[7,3,8,4,5,2,6,1]=>([(1,6),(2,7),(3,4),(3,6),(4,5),(5,7)],8)
[7,2,8,5,3,4,6,1]=>([(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(5,7)],8)
[6,1,8,4,3,2,5,7]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,7),(7,6)],8)
[6,1,7,4,2,5,3,8]=>([(0,6),(1,3),(1,4),(1,6),(2,7),(3,5),(4,2),(4,5),(5,7),(6,7)],8)
[1,2,7,3,4,6,5,8]=>([(0,6),(1,7),(2,7),(3,7),(4,5),(5,2),(5,3),(6,1),(6,4)],8)
[1,7,8,4,3,5,6,2]=>([(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,1),(7,2)],8)
[1,6,2,8,3,5,7,4]=>([(0,3),(0,4),(2,6),(3,6),(3,7),(4,5),(4,7),(5,1),(5,2)],8)
[2,6,1,7,3,5,4,8]=>([(0,5),(0,6),(1,4),(1,6),(2,7),(3,7),(4,5),(5,7),(6,2),(6,3)],8)
[3,1,5,8,4,2,6,7]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,7),(5,7),(6,2),(6,7),(7,4)],8)
[4,3,1,6,8,2,7,5]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,6),(4,5),(4,7),(6,3),(6,5)],8)
[5,7,4,8,3,2,1,6]=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
[5,4,8,2,7,3,1,6]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(4,7)],8)
[5,2,8,7,3,4,1,6]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(4,7)],8)
[6,4,7,5,3,2,1,8]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,8,3,7,6,2,4,5]=>([(0,4),(0,5),(0,6),(5,7),(6,1),(6,2),(6,7),(7,3)],8)
[5,8,3,2,6,4,1,7]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,7),(6,7)],8)
[6,8,2,4,7,5,1,3]=>([(0,6),(1,3),(1,7),(2,4),(2,6),(4,5),(4,7)],8)
[7,3,8,2,6,4,1,5]=>([(0,7),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(6,7)],8)
[4,6,8,2,7,3,1,5]=>([(0,7),(1,4),(1,7),(2,3),(2,6),(3,7),(4,5),(4,6)],8)
[2,6,8,7,3,4,1,5]=>([(0,7),(1,5),(1,6),(4,7),(5,4),(6,2),(6,3)],8)
[7,2,8,6,3,5,1,4]=>([(0,7),(1,6),(2,3),(2,4),(2,6),(4,5),(4,7)],8)
[6,8,1,7,2,5,4,3]=>([(0,5),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4)],8)
[3,8,7,4,5,6,1,2]=>([(0,5),(1,3),(1,4),(1,7),(6,2),(7,6)],8)
[2,8,6,4,3,5,1,7]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(3,7),(4,6),(5,6),(6,7)],8)
[2,7,6,3,5,4,1,8]=>([(0,7),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2),(6,3)],8)
[1,7,6,5,2,4,3,8]=>([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2)],8)
[1,8,6,5,3,2,4,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[3,8,7,4,6,2,5,1]=>([(1,7),(2,4),(2,5),(2,6),(6,3),(6,7)],8)
[5,8,3,7,6,2,4,1]=>([(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)
[7,1,8,6,5,2,3,4]=>([(0,7),(1,3),(1,4),(1,6),(1,7),(5,2),(6,5)],8)
[8,4,7,5,3,2,1,6]=>([(1,7),(2,7),(3,7),(4,5),(4,6),(6,7)],8)
[8,7,2,5,4,3,1,6]=>([(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[6,8,3,2,5,4,7,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,7,8,4,3,6,2]=>([(0,2),(0,3),(0,4),(0,6),(3,7),(4,7),(5,1),(6,5),(6,7)],8)
[6,3,8,1,5,4,7,2]=>([(0,4),(0,7),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(5,7),(6,7)],8)
[6,2,1,8,5,4,7,3]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[2,6,5,7,4,1,3,8]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(2,7),(3,5),(4,5),(5,7),(6,7)],8)
[2,5,6,8,4,3,7,1]=>([(1,3),(1,4),(1,5),(3,7),(4,7),(5,6),(6,2),(6,7)],8)
[2,5,4,7,1,8,6,3]=>([(0,2),(0,3),(0,5),(1,4),(1,5),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4)],8)
[5,2,1,8,7,6,4,3]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[4,8,6,7,5,3,1,2]=>([(1,6),(2,4),(2,5),(2,7),(7,3)],8)
[6,5,4,8,2,1,7,3]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7)],8)
[5,8,4,7,2,6,3,1]=>([(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7)],8)
[5,8,3,2,7,6,4,1]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)
[5,2,1,4,3,6,7,8]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(5,7),(6,7),(7,3)],8)
[3,5,7,4,2,6,1,8]=>([(0,7),(1,6),(2,3),(2,4),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[4,2,1,6,5,3,7,8]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7),(7,3)],8)
[4,2,1,5,7,6,3,8]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[3,5,4,7,1,6,2,8]=>([(0,4),(0,7),(1,2),(1,3),(2,5),(2,7),(3,5),(3,7),(4,6),(5,6),(7,6)],8)
[3,4,5,8,6,7,1,2]=>([(0,6),(1,4),(5,3),(6,7),(7,2),(7,5)],8)
[4,3,5,1,6,8,7,2]=>([(0,6),(1,6),(2,5),(2,7),(6,7),(7,3),(7,4)],8)
[2,1,7,3,8,4,6,5]=>([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(6,5),(7,4),(7,5)],8)
[4,1,8,2,7,3,6,5]=>([(0,2),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(3,4),(3,5)],8)
[4,1,7,2,8,3,6,5]=>([(0,2),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(3,4),(3,5),(7,6)],8)
[7,1,3,2,8,4,6,5]=>([(0,7),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5)],8)
[7,1,8,2,4,3,6,5]=>([(0,7),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],8)
[8,1,7,2,5,3,6,4]=>([(1,3),(1,6),(4,7),(5,2),(5,7),(6,4),(6,5)],8)
[7,1,5,2,8,3,6,4]=>([(0,7),(1,3),(1,4),(3,6),(3,7),(4,5),(4,7),(5,2),(5,6)],8)
[5,1,7,2,8,3,6,4]=>([(0,6),(0,7),(1,3),(1,7),(3,4),(3,5),(4,2),(4,6),(7,5)],8)
[5,1,8,2,7,3,6,4]=>([(0,5),(0,6),(0,7),(1,4),(1,7),(3,2),(3,5),(4,3),(4,6)],8)
[5,1,8,2,4,3,7,6]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,2),(4,3)],8)
[8,1,6,2,4,3,7,5]=>([(1,2),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,3),(5,4)],8)
[6,1,8,2,4,3,7,5]=>([(0,6),(0,7),(1,4),(1,6),(2,5),(2,7),(3,5),(3,7),(4,2),(4,3)],8)
[6,1,8,2,5,3,7,4]=>([(0,6),(0,7),(1,5),(1,6),(3,7),(4,2),(4,7),(5,3),(5,4)],8)
[8,1,6,2,5,3,7,4]=>([(1,4),(1,6),(3,7),(4,7),(5,2),(5,7),(6,3),(6,5)],8)
[8,1,6,2,7,3,5,4]=>([(1,4),(1,5),(4,7),(5,6),(5,7),(6,2),(6,3)],8)
[6,1,8,2,7,3,5,4]=>([(0,6),(0,7),(1,4),(1,7),(4,5),(4,6),(5,2),(5,3)],8)
[6,1,7,2,8,3,5,4]=>([(0,7),(1,4),(1,7),(4,5),(4,6),(5,2),(5,3),(7,6)],8)
[6,1,7,2,5,3,8,4]=>([(0,6),(1,5),(1,6),(3,7),(4,2),(4,7),(5,3),(5,4),(6,7)],8)
[6,1,7,2,4,3,8,5]=>([(0,6),(1,4),(1,6),(2,5),(2,7),(3,5),(3,7),(4,2),(4,3),(6,7)],8)
[5,1,6,2,4,3,8,7]=>([(0,5),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,2),(4,3),(5,6),(5,7)],8)
[7,1,5,2,4,3,8,6]=>([(0,7),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3)],8)
[7,1,6,2,4,3,8,5]=>([(0,7),(1,2),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,3),(5,4)],8)
[7,1,6,2,5,3,8,4]=>([(0,7),(1,4),(1,6),(3,7),(4,7),(5,2),(5,7),(6,3),(6,5)],8)
[7,1,6,2,8,3,5,4]=>([(0,7),(1,4),(1,5),(4,7),(5,6),(5,7),(6,2),(6,3)],8)
[7,1,8,2,6,3,5,4]=>([(0,7),(1,6),(1,7),(5,3),(5,4),(6,2),(6,5)],8)
[1,8,2,7,5,4,6,3]=>([(0,5),(0,6),(3,7),(4,7),(6,1),(6,2),(6,3),(6,4)],8)
[1,8,2,7,4,3,5,6]=>([(0,5),(0,6),(2,7),(3,7),(6,1),(6,2),(6,3),(7,4)],8)
[1,8,6,4,7,2,3,5]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(3,6),(4,6),(4,7),(5,1)],8)
[1,8,4,2,6,3,5,7]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(3,6),(4,1),(4,6),(5,7),(6,7)],8)
[7,4,8,1,5,2,3,6]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(4,7),(6,7)],8)
[4,1,7,2,6,3,5,8]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,5),(3,2),(3,4),(4,7),(5,7),(6,7)],8)
[5,1,7,4,3,6,2,8]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(5,6),(7,6)],8)
[7,5,8,3,2,4,1,6]=>([(0,7),(1,5),(2,6),(3,6),(4,5),(4,7),(6,7)],8)
[1,8,5,4,3,6,2,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,7),(5,6),(7,6)],8)
[1,8,5,4,3,7,2,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,5,4,7,2,6,3]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(3,7),(4,6),(4,7),(5,1),(5,7)],8)
[1,8,4,2,5,3,7,6]=>([(0,2),(0,3),(0,4),(1,6),(1,7),(3,5),(4,1),(4,5),(5,6),(5,7)],8)
[1,8,5,4,2,6,7,3]=>([(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,1),(6,7),(7,2)],8)
[7,4,8,2,1,3,5,6]=>([(0,5),(1,6),(2,6),(3,5),(3,7),(6,7),(7,4)],8)
[4,1,7,3,2,5,6,8]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(4,5),(6,5),(7,4)],8)
[7,5,4,8,2,3,6,1]=>([(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(5,7)],8)
[3,1,7,2,6,8,4,5]=>([(0,3),(0,7),(1,5),(1,6),(1,7),(3,5),(3,6),(5,2),(6,4),(7,4)],8)
[5,1,7,4,2,6,8,3]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(3,7),(4,2),(4,7),(6,5),(7,5)],8)
[4,1,6,3,2,5,8,7]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[4,3,1,6,2,5,7,8]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(3,7),(5,4),(6,5),(7,5)],8)
[6,5,4,3,7,1,8,2]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(7,6)],8)
[6,5,1,7,3,8,2,4]=>([(0,7),(1,7),(2,3),(2,4),(2,7),(3,6),(4,5),(4,6),(7,5)],8)
[6,3,2,8,5,7,1,4]=>([(0,6),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8)
[6,5,4,3,8,2,7,1]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,4,3,8,7,1,2]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5)],8)
[7,6,3,8,5,4,1,2]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(3,7)],8)
[5,4,8,2,1,7,3,6]=>([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(5,6)],8)
[6,4,2,8,5,1,3,7]=>([(0,6),(0,7),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[7,6,4,8,5,1,2,3]=>([(0,7),(1,7),(2,5),(3,4),(3,7),(5,6)],8)
[7,2,8,6,3,1,4,5]=>([(0,7),(1,6),(2,3),(2,4),(2,6),(4,7),(7,5)],8)
[7,2,8,6,1,5,3,4]=>([(0,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[2,1,7,8,3,6,4,5]=>([(0,6),(0,7),(1,6),(1,7),(5,2),(6,3),(7,4),(7,5)],8)
[6,4,1,7,8,2,3,5]=>([(0,7),(1,6),(1,7),(2,3),(2,7),(3,5),(5,6),(7,4)],8)
[4,2,1,6,7,3,5,8]=>([(0,5),(0,7),(1,4),(1,7),(2,4),(2,7),(3,6),(4,5),(5,6),(7,3)],8)
[4,3,1,5,2,7,6,8]=>([(0,7),(1,7),(2,3),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)
[5,4,2,7,3,8,1,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(6,5)],8)
[4,1,5,3,2,8,6,7]=>([(0,5),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(7,2)],8)
[3,1,6,2,8,7,4,5]=>([(0,3),(0,7),(1,6),(1,7),(3,4),(3,5),(3,6),(6,2),(7,4),(7,5)],8)
[6,3,1,7,8,5,2,4]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,6),(7,4)],8)
[6,5,4,1,7,8,3,2]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,7),(7,6)],8)
[5,4,3,1,6,7,2,8]=>([(0,7),(1,7),(2,7),(3,4),(3,7),(4,6),(5,6),(7,5)],8)
[6,5,4,2,7,8,3,1]=>([(1,7),(2,7),(3,7),(4,5),(4,7),(7,6)],8)
[5,4,2,6,3,8,7,1]=>([(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(7,5),(7,6)],8)
[4,3,1,5,2,6,8,7]=>([(0,7),(1,7),(2,3),(2,7),(3,6),(6,4),(6,5),(7,6)],8)
[5,4,2,1,6,7,8,3]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(7,4)],8)
[5,4,3,1,6,7,8,2]=>([(0,7),(1,7),(2,7),(3,4),(3,7),(5,6),(7,5)],8)
[6,3,8,1,2,5,7,4]=>([(0,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,6),(3,7),(7,4)],8)
[3,6,7,1,2,5,8,4]=>([(0,3),(1,4),(1,6),(1,7),(2,5),(3,6),(3,7),(4,2),(7,5)],8)
[7,8,3,1,2,5,6,4]=>([(0,6),(0,7),(1,3),(2,5),(5,6),(5,7),(7,4)],8)
[7,8,1,3,2,4,6,5]=>([(0,6),(1,2),(1,3),(2,7),(3,7),(7,4),(7,5)],8)
[7,8,2,1,3,5,4,6]=>([(0,6),(1,6),(2,3),(4,7),(5,7),(6,4),(6,5)],8)
[5,2,3,7,1,8,6,4]=>([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(3,5),(3,6),(3,7),(6,4)],8)
[2,5,3,6,1,8,7,4]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(2,7),(3,6),(3,7),(7,4),(7,5)],8)
[2,6,7,3,1,8,4,5]=>([(0,6),(0,7),(1,3),(1,5),(2,7),(3,6),(3,7),(5,2),(6,4)],8)
[2,6,7,1,3,5,4,8]=>([(0,6),(1,5),(1,6),(2,7),(3,7),(4,7),(5,2),(6,3),(6,4)],8)
[6,2,8,3,1,7,4,5]=>([(0,6),(0,7),(1,5),(1,7),(2,4),(2,5),(4,6),(4,7),(6,3)],8)
[3,2,5,7,1,8,4,6]=>([(0,5),(0,7),(1,5),(1,7),(2,6),(2,7),(3,6),(5,3),(5,4),(7,4)],8)
[4,3,1,2,7,8,6,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)
[5,1,2,7,3,6,4,8]=>([(0,5),(0,6),(1,4),(2,7),(3,2),(3,5),(4,3),(4,6),(5,7),(6,7)],8)
[5,1,4,7,8,2,3,6]=>([(0,6),(0,7),(1,3),(1,5),(2,7),(3,6),(3,7),(5,2),(6,4)],8)
[5,3,4,7,8,6,1,2]=>([(0,6),(0,7),(1,3),(2,5),(5,6),(5,7),(7,4)],8)
[3,5,4,6,8,7,1,2]=>([(0,6),(1,2),(1,3),(2,7),(3,7),(7,4),(7,5)],8)
[1,5,4,6,8,2,3,7]=>([(0,3),(0,4),(0,5),(2,6),(3,7),(4,7),(5,2),(7,1),(7,6)],8)
[1,6,7,3,2,4,8,5]=>([(0,3),(0,4),(0,5),(2,6),(3,7),(4,7),(5,2),(7,1),(7,6)],8)
[1,5,3,6,2,7,8,4]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(3,7),(4,5),(4,6),(6,7),(7,1)],8)
[5,1,3,7,2,6,8,4]=>([(0,2),(0,3),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[5,2,4,7,8,1,6,3]=>([(0,6),(0,7),(1,5),(1,7),(2,4),(2,5),(4,6),(4,7),(6,3)],8)
[4,2,5,7,6,1,8,3]=>([(0,6),(1,5),(1,6),(2,5),(2,7),(3,7),(4,7),(6,3),(6,4)],8)
[4,5,2,8,6,1,7,3]=>([(0,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,6),(3,7),(7,4)],8)
[5,3,1,8,2,6,7,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(4,5),(4,7),(7,3)],8)
[6,1,8,3,2,4,7,5]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(3,7),(4,7),(7,2),(7,5)],8)
[4,3,5,7,6,8,1,2]=>([(0,6),(1,6),(2,3),(4,7),(5,7),(6,4),(6,5)],8)
[4,1,5,7,6,2,3,8]=>([(0,6),(1,5),(1,6),(2,7),(3,7),(4,7),(5,2),(6,3),(6,4)],8)
[4,5,1,8,6,2,3,7]=>([(0,3),(1,4),(1,6),(1,7),(2,5),(3,6),(3,7),(4,2),(7,5)],8)
[5,2,1,8,3,6,4,7]=>([(0,5),(0,7),(1,5),(1,7),(2,4),(2,7),(3,6),(4,6),(5,3),(5,4)],8)
[3,4,2,1,8,7,5,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)
[7,6,5,4,2,1,8,3]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,5,4,8,1,3,2]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6)],8)
[7,6,5,8,2,1,4,3]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[8,5,4,3,2,1,7,6]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,5,4,1,8,3,2]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7)],8)
[7,6,5,2,8,1,4,3]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7)],8)
[7,6,5,8,4,1,3,2]=>([(1,7),(2,7),(3,7),(4,5),(4,6)],8)
[7,6,8,5,2,1,4,3]=>([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[7,8,6,3,2,1,5,4]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5)],8)
[8,7,4,3,2,1,6,5]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,2,4,5,1,3,6]=>([(0,6),(1,3),(2,4),(2,6),(4,5),(5,7),(6,7)],8)
[4,6,7,2,5,1,3,8]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(4,7),(5,7),(6,7)],8)
[7,8,1,3,2,4,5,6]=>([(0,5),(1,3),(1,4),(3,7),(4,7),(6,2),(7,6)],8)
[7,8,4,1,5,2,3,6]=>([(0,6),(1,3),(2,4),(2,6),(4,5),(5,7),(6,7)],8)
[3,6,7,2,1,4,5,8]=>([(0,7),(1,7),(2,3),(2,7),(3,5),(4,6),(5,6),(7,4)],8)
[5,2,3,6,1,4,7,8]=>([(0,7),(1,6),(2,4),(4,6),(4,7),(5,3),(6,5),(7,5)],8)
[2,5,3,6,1,4,7,8]=>([(0,6),(1,3),(1,4),(3,5),(4,5),(4,6),(5,7),(6,7),(7,2)],8)
[2,6,7,3,1,4,5,8]=>([(0,7),(1,2),(1,5),(2,7),(3,6),(4,6),(5,4),(7,3)],8)
[4,6,7,1,5,2,3,8]=>([(0,5),(0,6),(1,4),(1,6),(2,7),(3,7),(4,2),(5,3),(6,7)],8)
[4,6,7,3,5,8,1,2]=>([(0,6),(1,3),(2,4),(2,6),(4,5),(5,7),(6,7)],8)
[6,4,7,1,5,2,3,8]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(4,7),(5,7),(6,7)],8)
[6,2,7,3,1,4,5,8]=>([(0,7),(1,5),(2,3),(2,5),(3,7),(4,6),(5,6),(7,4)],8)
[3,2,5,6,1,4,7,8]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(4,6),(5,4),(6,3),(7,6)],8)
[3,5,2,6,1,4,7,8]=>([(0,7),(1,6),(1,7),(2,3),(2,7),(3,6),(5,4),(6,5),(7,5)],8)
[5,1,4,6,7,2,3,8]=>([(0,7),(1,2),(1,5),(2,7),(3,6),(4,6),(5,4),(7,3)],8)
[3,5,4,6,7,8,1,2]=>([(0,5),(1,3),(1,4),(3,7),(4,7),(6,2),(7,6)],8)
[1,5,4,6,7,2,3,8]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1)],8)
[1,6,7,3,2,4,5,8]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1)],8)
[1,5,3,6,2,4,7,8]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7),(7,1)],8)
[5,1,3,6,2,4,7,8]=>([(0,6),(1,3),(1,4),(3,5),(4,5),(4,6),(5,7),(6,7),(7,2)],8)
[5,2,4,6,7,1,3,8]=>([(0,7),(1,5),(2,3),(2,5),(3,7),(4,6),(5,6),(7,4)],8)
[2,5,4,6,7,1,3,8]=>([(0,6),(1,2),(1,3),(1,6),(2,7),(3,7),(4,5),(6,5),(7,4)],8)
[2,6,7,4,5,1,3,8]=>([(0,6),(1,4),(1,5),(1,6),(2,7),(3,7),(4,3),(5,2),(6,7)],8)
[6,2,7,4,5,1,3,8]=>([(0,6),(1,5),(2,3),(2,5),(2,6),(3,4),(4,7),(5,7),(6,7)],8)
[4,2,5,6,7,1,3,8]=>([(0,7),(1,5),(2,5),(2,7),(3,4),(4,6),(5,6),(7,3)],8)
[4,5,2,6,7,1,3,8]=>([(0,5),(1,5),(1,7),(2,3),(3,7),(4,6),(5,6),(7,4)],8)
[5,3,1,6,2,4,7,8]=>([(0,7),(1,6),(1,7),(2,3),(2,7),(3,6),(5,4),(6,5),(7,5)],8)
[6,1,7,3,2,4,5,8]=>([(0,6),(1,2),(1,3),(1,6),(2,7),(3,7),(4,5),(6,5),(7,4)],8)
[6,1,7,4,5,2,3,8]=>([(0,6),(1,4),(1,5),(1,6),(2,7),(3,7),(4,3),(5,2),(6,7)],8)
[6,3,7,4,5,8,1,2]=>([(0,6),(1,3),(2,4),(2,6),(4,5),(5,7),(6,7)],8)
[5,4,1,6,7,2,3,8]=>([(0,7),(1,7),(2,3),(2,7),(3,5),(4,6),(5,6),(7,4)],8)
[5,2,1,6,3,4,7,8]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(4,6),(5,4),(6,3),(7,6)],8)
[7,3,2,5,4,1,6,8]=>([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[7,3,5,4,2,1,6,8]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[7,3,5,2,4,1,6,8]=>([(0,7),(1,5),(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[7,6,5,2,1,4,3,8]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,3,6,7,5,2,8,4]=>([(0,3),(0,5),(1,7),(2,7),(3,6),(3,7),(4,2),(5,1),(5,4),(5,6)],8)
[7,3,4,1,6,2,5,8]=>([(0,7),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,3,4,1,6,5,2,8]=>([(0,7),(1,4),(2,3),(2,5),(2,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,3,4,1,5,6,2,8]=>([(0,7),(1,4),(2,3),(2,6),(3,7),(4,6),(5,7),(6,5)],8)
[7,3,2,5,1,6,4,8]=>([(0,7),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(5,7),(6,7)],8)
[7,6,5,4,1,3,2,8]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,3,4,1,5,2,6,8]=>([(0,5),(1,4),(2,3),(2,6),(3,7),(4,6),(6,7),(7,5)],8)
[1,3,6,7,2,5,8,4]=>([(0,2),(0,4),(1,7),(2,5),(2,6),(3,1),(4,3),(4,5),(4,6),(6,7)],8)
[1,7,4,6,2,8,5,3]=>([(0,3),(0,4),(0,5),(2,7),(3,7),(4,2),(4,6),(5,1),(5,6),(5,7)],8)
[4,3,1,7,2,6,8,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(3,6),(3,7),(5,4),(7,4)],8)
[5,6,1,4,7,3,8,2]=>([(0,5),(1,2),(1,3),(1,4),(3,7),(4,6),(5,6),(6,7)],8)
[5,3,2,1,7,4,8,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(6,4),(6,5),(7,5)],8)
[1,3,4,5,8,7,2,6]=>([(0,3),(0,5),(3,7),(4,6),(5,4),(6,1),(6,2),(6,7)],8)
[6,3,4,5,8,1,7,2]=>([(0,6),(0,7),(1,4),(2,3),(2,7),(4,5),(5,6),(5,7)],8)
[2,4,5,1,6,8,7,3]=>([(0,6),(0,7),(1,5),(1,6),(4,7),(5,4),(7,2),(7,3)],8)
[3,1,2,5,6,8,7,4]=>([(0,6),(0,7),(1,4),(4,6),(4,7),(5,2),(5,3),(7,5)],8)
[4,3,2,5,6,8,1,7]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(7,4)],8)
[3,7,5,4,6,8,1,2]=>([(0,5),(1,2),(1,3),(1,4),(2,7),(3,6),(4,6),(6,7)],8)
[3,1,4,6,5,8,2,7]=>([(0,6),(1,2),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(6,3),(6,4)],8)
[2,3,4,5,8,6,1,7]=>([(0,7),(1,5),(3,7),(4,6),(5,4),(6,2),(6,3)],8)
[2,3,4,5,8,1,7,6]=>([(0,6),(0,7),(1,4),(3,5),(4,3),(5,2),(5,6),(5,7)],8)
[3,1,4,6,5,8,7,2]=>([(0,7),(1,2),(1,7),(3,5),(3,6),(4,5),(4,6),(7,3),(7,4)],8)
[3,7,5,4,6,8,2,1]=>([(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[5,6,1,4,7,2,8,3]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2),(5,7),(6,7)],8)
[4,3,1,7,5,6,8,2]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(4,5),(6,5),(7,4)],8)
[4,3,1,7,6,5,8,2]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(5,4),(6,4),(7,4)],8)
[3,1,4,6,7,8,5,2]=>([(0,7),(1,3),(1,7),(5,2),(6,5),(7,4),(7,6)],8)
[1,4,5,2,6,8,7,3]=>([(0,5),(0,6),(2,7),(5,2),(6,1),(6,7),(7,3),(7,4)],8)
[3,7,5,2,6,8,1,4]=>([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(4,5),(5,6)],8)
[3,7,5,2,6,8,4,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,6),(6,7)],8)
[5,6,1,2,7,4,8,3]=>([(0,4),(1,5),(3,7),(4,6),(5,2),(5,3),(5,6),(6,7)],8)
[6,3,5,2,4,7,8,1]=>([(1,7),(2,6),(3,4),(3,6),(4,7),(6,7),(7,5)],8)
[5,3,2,1,4,7,8,6]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(6,4),(7,5),(7,6)],8)
[5,3,1,4,2,7,8,6]=>([(0,6),(0,7),(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[5,3,1,2,4,7,8,6]=>([(0,7),(1,5),(1,6),(2,4),(4,7),(6,3),(7,5),(7,6)],8)
[7,1,5,2,6,8,4,3]=>([(0,7),(1,4),(1,5),(4,6),(5,2),(5,3),(5,6),(6,7)],8)
[7,1,5,2,6,8,3,4]=>([(0,7),(1,3),(1,5),(3,6),(4,2),(5,4),(5,6),(6,7)],8)
[1,7,4,6,5,8,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(5,7),(6,1),(6,2)],8)
[2,7,4,6,1,8,3,5]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(2,7),(3,7),(4,2),(4,5),(6,5)],8)
[2,7,4,6,1,8,5,3]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(2,7),(3,7),(4,2),(4,5)],8)
[2,3,6,7,1,5,8,4]=>([(0,6),(0,7),(1,4),(2,5),(3,2),(4,3),(4,6),(4,7),(7,5)],8)
[2,3,6,7,5,1,8,4]=>([(0,6),(0,7),(1,5),(2,7),(3,7),(4,3),(5,2),(5,4),(5,6)],8)
[4,3,2,6,7,1,8,5]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(6,4)],8)
[7,3,2,5,6,8,1,4]=>([(0,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,4)],8)
[7,1,5,4,6,8,2,3]=>([(0,7),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(6,7)],8)
[2,7,4,6,5,8,1,3]=>([(0,6),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,2),(5,3)],8)
[7,3,4,5,8,6,1,2]=>([(0,7),(1,6),(2,4),(5,3),(5,7),(6,5)],8)
[7,3,4,5,8,1,6,2]=>([(0,7),(1,4),(2,3),(2,6),(4,5),(5,6),(5,7)],8)
[7,3,4,5,8,1,2,6]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(5,7)],8)
[1,3,4,5,8,6,2,7]=>([(0,3),(0,5),(2,7),(3,7),(4,6),(5,4),(6,1),(6,2)],8)
[1,3,4,5,8,2,7,6]=>([(0,2),(0,5),(2,6),(2,7),(3,4),(4,1),(4,6),(4,7),(5,3)],8)
[6,3,4,5,8,2,1,7]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)
[6,3,4,5,8,2,7,1]=>([(1,7),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)
[7,3,4,5,8,6,2,1]=>([(2,4),(3,7),(4,6),(6,5),(6,7)],8)
[2,7,4,6,5,8,3,1]=>([(1,2),(1,5),(1,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[7,1,5,4,6,8,3,2]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6),(6,7)],8)
[7,3,2,5,6,8,4,1]=>([(1,7),(2,5),(2,6),(3,5),(3,6),(4,7),(6,4)],8)
[5,7,4,6,1,8,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(5,7),(6,7)],8)
[6,3,4,5,8,1,2,7]=>([(0,6),(0,7),(1,3),(2,4),(3,5),(4,7),(5,6),(5,7)],8)
[7,3,4,5,8,2,1,6]=>([(0,7),(1,7),(2,6),(3,4),(4,5),(5,6),(5,7)],8)
[7,3,4,5,8,2,6,1]=>([(1,7),(2,6),(3,4),(4,5),(5,6),(5,7)],8)
[4,8,6,1,7,5,2,3]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(4,6),(5,2)],8)
[4,7,8,2,6,1,5,3]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4)],8)
[7,6,4,2,8,3,5,1]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
[8,6,4,2,7,5,3,1]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,4,7,3,6,5,1,2]=>([(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8)
[8,4,6,1,7,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(5,7)],8)
[6,4,7,1,8,3,2,5]=>([(0,5),(1,5),(1,7),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6)],8)
[7,4,8,3,6,1,5,2]=>([(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7)],8)
[6,2,1,7,3,5,4,8]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(5,3),(5,4),(6,7)],8)
[2,1,8,6,3,5,4,7]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(3,7),(5,7),(6,2),(6,3)],8)
[2,1,7,3,5,8,6,4]=>([(0,6),(0,7),(1,6),(1,7),(4,3),(4,5),(6,5),(7,2),(7,4)],8)
[2,7,3,1,5,4,6,8]=>([(0,2),(0,3),(1,6),(1,7),(2,4),(3,6),(3,7),(5,4),(6,5),(7,5)],8)
[2,6,3,1,4,8,5,7]=>([(0,7),(1,2),(1,4),(2,7),(3,5),(4,5),(4,6),(7,3),(7,6)],8)
[4,2,1,8,3,6,7,5]=>([(0,5),(0,6),(0,7),(1,4),(1,7),(2,4),(2,7),(4,5),(4,6),(6,3)],8)
[2,1,8,6,3,5,7,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(3,4),(6,2),(6,3),(7,4)],8)
[6,2,1,7,3,5,8,4]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(4,6),(5,3),(5,4),(7,6)],8)
[2,7,3,1,4,8,5,6]=>([(0,7),(1,3),(1,4),(3,7),(4,6),(5,2),(7,5),(7,6)],8)
[3,2,1,6,4,5,7,8]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(5,4),(6,5),(7,3)],8)
[3,2,1,5,7,8,4,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(6,5),(7,3),(7,5)],8)
[2,1,7,3,6,8,4,5]=>([(0,6),(0,7),(1,6),(1,7),(3,5),(4,2),(6,5),(7,3),(7,4)],8)
[2,7,3,1,5,6,8,4]=>([(0,6),(0,7),(1,2),(1,4),(2,6),(2,7),(3,5),(4,5),(7,3)],8)
[2,4,7,5,1,6,8,3]=>([(0,6),(0,7),(1,4),(1,7),(2,5),(3,6),(4,2),(4,3),(6,5)],8)
[4,3,7,5,6,1,8,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,7),(4,7),(5,7),(6,4)],8)
[4,3,6,8,5,1,7,2]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,7),(5,7),(6,3),(6,7)],8)
[2,6,1,8,3,5,7,4]=>([(0,6),(0,7),(1,4),(1,7),(3,5),(4,5),(4,6),(7,2),(7,3)],8)
[2,1,6,8,3,7,4,5]=>([(0,6),(0,7),(1,6),(1,7),(4,3),(6,4),(6,5),(7,2),(7,5)],8)
[2,1,8,3,5,7,4,6]=>([(0,6),(0,7),(1,6),(1,7),(3,5),(4,2),(4,5),(7,3),(7,4)],8)
[3,2,1,5,6,8,4,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(6,5),(7,3)],8)
[3,2,1,5,7,4,6,8]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(6,4),(7,3),(7,4)],8)
[2,1,7,3,6,4,5,8]=>([(0,5),(0,6),(1,5),(1,6),(2,7),(3,7),(4,3),(5,7),(6,2),(6,4)],8)
[2,1,6,3,5,8,4,7]=>([(0,5),(0,6),(1,5),(1,6),(2,7),(3,4),(3,7),(5,2),(5,3),(6,4),(6,7)],8)
[8,2,4,1,7,5,6,3]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(7,3)],8)
[3,8,4,7,5,1,6,2]=>([(0,5),(0,7),(1,3),(1,6),(4,7),(6,2),(6,4)],8)
[8,4,3,6,1,7,5,2]=>([(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(5,6)],8)
[8,2,1,7,3,5,4,6]=>([(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(6,3),(6,4)],8)
[2,6,1,8,3,5,4,7]=>([(0,5),(0,6),(1,4),(1,6),(2,7),(3,7),(4,5),(4,7),(6,2),(6,3)],8)
[2,7,3,1,5,6,4,8]=>([(0,5),(0,6),(1,3),(1,4),(2,7),(3,7),(4,5),(4,6),(5,7),(6,2)],8)
[2,4,7,5,1,6,3,8]=>([(0,5),(0,6),(1,4),(1,6),(2,7),(3,5),(4,2),(4,3),(5,7),(6,7)],8)
[8,2,4,1,7,5,3,6]=>([(1,3),(1,6),(2,5),(2,6),(2,7),(3,5),(3,7),(6,4),(7,4)],8)
[5,8,6,3,1,7,4,2]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(5,7)],8)
[2,4,7,1,8,5,3,6]=>([(0,3),(0,7),(1,5),(1,6),(1,7),(2,5),(3,2),(3,6),(6,4),(7,4)],8)
[2,4,8,5,1,6,3,7]=>([(0,6),(0,7),(1,4),(1,7),(3,6),(4,2),(4,3),(6,5),(7,5)],8)
[6,2,1,7,3,4,8,5]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(5,3),(7,6)],8)
[6,2,1,7,8,3,5,4]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(6,4),(6,5),(7,3)],8)
[2,7,1,8,3,5,6,4]=>([(0,6),(0,7),(1,4),(1,7),(4,6),(5,3),(7,2),(7,5)],8)
[2,1,8,3,6,4,5,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(4,3),(7,2),(7,4)],8)
[3,2,1,6,7,4,5,8]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(6,4),(7,3)],8)
[3,2,1,7,4,5,6,8]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(6,5),(7,3)],8)
[3,2,1,6,8,4,5,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(4,5),(6,4),(7,3),(7,5)],8)
[2,1,8,3,7,4,5,6]=>([(0,6),(0,7),(1,6),(1,7),(4,5),(5,3),(7,2),(7,4)],8)
[2,1,8,3,6,7,4,5]=>([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(7,4),(7,5)],8)
[2,4,8,5,1,6,7,3]=>([(0,6),(0,7),(1,5),(1,6),(4,7),(5,3),(5,4),(7,2)],8)
[4,3,8,5,6,1,7,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,7),(4,7),(6,4)],8)
[3,2,1,8,4,5,6,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(5,4),(7,3)],8)
[1,6,8,3,7,2,4,5]=>([(0,3),(0,4),(0,5),(3,7),(4,6),(4,7),(5,2),(5,6),(7,1)],8)
[3,8,1,5,7,2,4,6]=>([(0,4),(0,7),(1,3),(1,6),(1,7),(4,6),(6,5),(7,2),(7,5)],8)
[1,2,6,8,4,7,3,5]=>([(0,5),(2,6),(3,6),(3,7),(4,1),(4,7),(5,2),(5,3),(5,4)],8)
[6,1,5,8,2,4,7,3]=>([(0,6),(0,7),(1,4),(1,5),(3,7),(4,6),(4,7),(5,2),(5,3)],8)
[1,2,4,8,3,6,7,5]=>([(0,5),(3,6),(3,7),(4,2),(4,6),(4,7),(5,3),(5,4),(7,1)],8)
[4,1,2,7,8,3,6,5]=>([(0,5),(0,6),(0,7),(1,4),(3,5),(3,6),(4,3),(4,7),(7,2)],8)
[3,5,7,4,8,6,1,2]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(3,7),(5,2),(5,7)],8)
[5,3,8,4,7,6,1,2]=>([(0,5),(0,6),(0,7),(1,3),(2,4),(2,5),(4,6),(4,7)],8)
[8,7,1,2,5,4,6,3]=>([(2,6),(4,7),(5,7),(6,3),(6,4),(6,5)],8)
[5,8,1,2,3,7,6,4]=>([(0,5),(1,3),(1,6),(1,7),(4,2),(4,6),(4,7),(5,4)],8)
[1,2,8,4,3,5,7,6]=>([(0,6),(2,7),(3,7),(6,1),(6,2),(6,3),(7,4),(7,5)],8)
[1,2,5,3,7,6,4,8]=>([(0,4),(1,7),(2,5),(2,6),(3,1),(3,5),(3,6),(4,2),(4,3),(5,7),(6,7)],8)
[6,1,2,8,7,4,5,3]=>([(0,6),(0,7),(1,5),(4,3),(5,2),(5,4),(5,6),(5,7)],8)
[7,1,6,2,8,4,5,3]=>([(0,7),(1,4),(1,6),(4,7),(5,3),(6,2),(6,5),(6,7)],8)
[1,2,6,3,8,5,4,7]=>([(0,5),(1,7),(2,7),(3,6),(3,7),(4,1),(4,2),(4,6),(5,3),(5,4)],8)
[1,2,8,5,3,6,4,7]=>([(0,5),(2,7),(3,6),(4,2),(4,6),(5,1),(5,3),(5,4),(6,7)],8)
[1,2,7,3,8,5,4,6]=>([(0,5),(1,7),(2,6),(3,6),(4,2),(4,3),(4,7),(5,1),(5,4)],8)
[4,1,2,7,8,6,3,5]=>([(0,5),(0,6),(0,7),(1,4),(3,5),(4,3),(4,6),(4,7),(7,2)],8)
[1,6,2,8,4,3,5,7]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(3,7),(4,1),(4,2),(4,6),(5,7)],8)
[1,6,4,2,7,3,5,8]=>([(0,2),(0,3),(0,4),(1,5),(2,7),(3,5),(3,7),(4,1),(4,7),(5,6),(7,6)],8)
[1,8,6,3,2,4,5,7]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,7),(4,7),(5,6),(7,1)],8)
[1,7,3,2,8,4,5,6]=>([(0,2),(0,3),(0,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(6,5)],8)
[3,1,7,8,6,2,4,5]=>([(0,5),(0,6),(0,7),(1,2),(1,5),(1,7),(2,6),(6,3),(7,4)],8)
[1,8,7,2,4,5,6,3]=>([(0,3),(0,4),(0,7),(5,6),(6,2),(7,1),(7,5)],8)
[1,8,7,3,5,6,2,4]=>([(0,2),(0,3),(0,4),(0,6),(4,7),(5,1),(6,5),(6,7)],8)
[1,3,2,8,7,4,5,6]=>([(0,2),(0,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(7,4)],8)
[1,8,3,2,6,4,5,7]=>([(0,2),(0,3),(0,4),(1,6),(3,5),(3,7),(4,5),(4,7),(5,6),(7,1)],8)
[1,7,6,3,2,4,5,8]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,1)],8)
[1,2,8,4,3,7,5,6]=>([(0,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3),(5,4),(7,1)],8)
[8,5,1,7,2,4,6,3]=>([(1,6),(1,7),(2,3),(2,6),(3,4),(3,5),(5,7)],8)
[5,3,8,7,4,6,1,2]=>([(0,5),(0,6),(0,7),(1,3),(2,4),(2,5),(2,6),(4,7)],8)
[3,8,6,4,7,5,1,2]=>([(0,5),(1,3),(1,4),(1,6),(4,7),(6,2),(6,7)],8)
[6,1,8,2,7,4,5,3]=>([(0,6),(0,7),(1,5),(1,7),(4,3),(5,2),(5,4),(5,6)],8)
[1,2,5,3,8,6,4,7]=>([(0,4),(1,7),(2,5),(2,6),(3,1),(3,5),(3,6),(4,2),(4,3),(6,7)],8)
[1,2,7,5,3,6,4,8]=>([(0,5),(1,7),(2,7),(3,6),(4,2),(4,6),(5,1),(5,3),(5,4),(6,7)],8)
[1,2,6,3,7,5,4,8]=>([(0,5),(1,7),(2,7),(3,6),(4,1),(4,2),(4,6),(5,3),(5,4),(6,7)],8)
[1,2,3,7,5,4,8,6]=>([(0,4),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,1),(5,2),(5,3)],8)
[3,7,4,8,6,5,1,2]=>([(0,5),(1,4),(1,6),(4,7),(6,2),(6,3),(6,7)],8)
[1,8,2,7,6,4,5,3]=>([(0,5),(0,7),(6,4),(7,1),(7,2),(7,3),(7,6)],8)
[2,8,7,6,5,1,4,3]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)
[7,1,6,3,2,5,4,8]=>([(0,7),(1,2),(1,3),(1,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,7,6,3,1,5,8,4]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,7),(3,7),(4,5),(4,6),(6,7)],8)
[1,8,4,3,6,5,2,7]=>([(0,1),(0,2),(0,3),(0,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,8,4,6,5,3,2,7]=>([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(4,7),(5,7),(6,1),(6,2)],8)
[7,4,2,1,6,5,3,8]=>([(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[7,6,1,4,3,5,2,8]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(5,6),(6,7)],8)
[7,4,1,3,5,2,6,8]=>([(0,5),(1,6),(2,3),(2,4),(3,7),(4,6),(6,7),(7,5)],8)
[7,3,1,2,4,6,5,8]=>([(0,7),(1,6),(2,3),(3,6),(4,7),(5,7),(6,4),(6,5)],8)
[1,8,6,3,4,5,2,7]=>([(0,2),(0,3),(0,4),(0,6),(1,7),(3,7),(4,7),(5,1),(6,5)],8)
[1,8,6,7,4,2,5,3]=>([(0,3),(0,4),(0,5),(0,6),(4,7),(5,2),(6,1),(6,7)],8)
[3,6,2,1,4,8,5,7]=>([(0,7),(1,7),(2,4),(2,7),(3,6),(4,5),(4,6),(7,3),(7,5)],8)
[3,1,7,2,4,6,8,5]=>([(0,6),(0,7),(1,3),(1,6),(3,7),(4,5),(6,5),(7,2),(7,4)],8)
[3,4,7,1,5,2,8,6]=>([(0,3),(0,6),(1,4),(2,7),(3,5),(3,7),(4,2),(4,6),(6,5),(6,7)],8)
[3,6,7,4,1,5,8,2]=>([(0,4),(0,7),(1,2),(1,5),(2,7),(3,6),(5,3),(7,6)],8)
[4,3,2,7,1,5,8,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4),(7,5)],8)
[3,1,2,8,6,5,4,7]=>([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[5,4,8,6,1,2,3,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,7),(6,7)],8)
[5,6,8,7,4,3,1,2]=>([(2,4),(3,5),(5,6),(5,7)],8)
[1,8,2,7,4,3,6,5]=>([(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(5,1),(5,2),(5,3)],8)
[6,5,8,2,3,7,1,4]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(4,6),(4,7)],8)
[6,4,8,5,3,1,7,2]=>([(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(5,7)],8)
[5,7,8,6,1,3,2,4]=>([(0,4),(0,5),(1,3),(1,6),(4,7),(5,7),(6,2)],8)
[2,4,8,1,6,3,7,5]=>([(0,3),(0,7),(1,6),(1,7),(3,2),(3,5),(3,6),(6,4),(7,4),(7,5)],8)
[3,1,2,8,6,4,7,5]=>([(0,3),(1,5),(1,6),(1,7),(3,5),(3,6),(3,7),(6,4),(7,2),(7,4)],8)
[5,3,2,6,4,8,1,7]=>([(0,7),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,7),(6,5),(6,7)],8)
[4,1,6,3,5,8,2,7]=>([(0,2),(0,3),(0,6),(1,5),(1,6),(2,7),(3,5),(5,4),(5,7),(6,4),(6,7)],8)
[2,4,5,3,8,6,1,7]=>([(0,7),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(6,7)],8)
[1,8,5,3,2,7,6,4]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,8,4,5,2,6,7,3]=>([(0,4),(0,5),(0,6),(2,7),(5,2),(6,1),(6,7),(7,3)],8)
[4,1,2,7,6,5,8,3]=>([(0,3),(1,4),(1,5),(1,6),(3,2),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[2,4,1,6,7,8,5,3]=>([(0,5),(0,6),(0,7),(1,3),(1,7),(3,5),(3,6),(4,2),(6,4)],8)
[1,8,4,3,6,2,7,5]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[5,6,7,3,2,8,1,4]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,7)],8)
[2,5,7,3,6,8,4,1]=>([(1,4),(1,5),(3,7),(4,2),(4,6),(5,3),(5,6),(6,7)],8)
[5,3,2,1,4,8,6,7]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(6,4),(7,5),(7,6)],8)
[5,3,1,4,2,8,6,7]=>([(0,6),(0,7),(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[7,6,1,3,8,5,4,2]=>([(0,7),(1,7),(2,5),(2,6),(6,3),(6,4),(6,7)],8)
[3,4,7,8,1,2,6,5]=>([(0,5),(1,3),(3,6),(3,7),(4,2),(5,4),(5,6),(5,7)],8)
[3,6,7,8,1,4,5,2]=>([(0,6),(0,7),(1,4),(1,7),(5,2),(6,5),(7,3)],8)
[3,6,2,8,1,5,4,7]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,6,8,5,1,4,7]=>([(0,6),(1,5),(3,7),(4,2),(4,7),(5,3),(5,4),(5,6),(6,7)],8)
[3,1,6,4,8,2,5,7]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(5,4),(6,3),(6,4),(7,3),(7,5)],8)
[7,3,2,6,8,5,1,4]=>([(0,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(5,6)],8)
[7,3,5,8,4,6,1,2]=>([(0,6),(1,3),(2,4),(2,5),(4,7),(5,6),(5,7)],8)
[7,5,2,8,4,1,6,3]=>([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(4,7)],8)
[7,4,5,8,2,1,3,6]=>([(0,5),(1,5),(2,6),(3,4),(4,6),(4,7),(5,7)],8)
[1,8,5,2,4,6,3,7]=>([(0,3),(0,4),(0,5),(1,7),(2,6),(4,6),(5,1),(5,2),(6,7)],8)
[1,8,4,2,3,5,7,6]=>([(0,4),(0,5),(0,6),(1,7),(5,7),(6,1),(7,2),(7,3)],8)
[6,4,2,8,3,5,1,7]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(3,4),(3,6),(4,5),(5,7)],8)
[6,3,4,8,2,5,7,1]=>([(1,7),(2,5),(2,6),(3,4),(4,6),(4,7),(7,5)],8)
[7,5,4,8,3,6,2,1]=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,4,8,5,3,6,1]=>([(1,3),(1,4),(1,5),(2,6),(3,6),(4,7),(5,2),(5,7)],8)
[7,1,5,4,8,3,6,2]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,2,5,8,4,6,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[8,4,6,3,7,2,5,1]=>([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
[7,4,6,3,8,5,1,2]=>([(0,7),(1,6),(1,7),(2,4),(3,5),(3,6),(5,7)],8)
[2,5,6,8,3,4,1,7]=>([(0,7),(1,4),(1,5),(3,7),(4,6),(5,3),(6,2),(6,7)],8)
[8,4,6,2,7,5,3,1]=>([(2,5),(2,6),(3,4),(3,6),(3,7),(5,7)],8)
[8,5,6,7,2,4,3,1]=>([(2,6),(3,4),(3,5),(6,7)],8)
[2,5,6,8,4,3,1,7]=>([(0,7),(1,3),(1,4),(1,5),(3,7),(4,7),(5,6),(6,2),(6,7)],8)
[2,5,7,8,4,1,3,6]=>([(0,6),(1,3),(1,5),(1,6),(3,7),(4,2),(5,4),(5,7),(6,7)],8)
[6,5,7,8,4,1,3,2]=>([(1,7),(2,7),(3,4),(3,5),(7,6)],8)
[7,5,6,8,2,4,1,3]=>([(0,7),(1,6),(2,5),(3,4),(3,6),(5,7)],8)
[7,4,6,2,8,5,1,3]=>([(0,7),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(4,7)],8)
[4,3,2,6,8,5,1,7]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(7,4),(7,6)],8)
[3,5,6,8,2,4,1,7]=>([(0,7),(1,6),(2,3),(2,6),(3,5),(5,4),(5,7),(6,7)],8)
[3,5,6,8,4,2,1,7]=>([(0,7),(1,7),(2,4),(2,5),(4,7),(5,6),(6,3),(6,7)],8)
[2,6,7,8,1,4,5,3]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(5,4),(7,2)],8)
[3,6,7,8,1,4,2,5]=>([(0,5),(0,7),(1,3),(1,7),(3,6),(4,2),(5,4),(7,6)],8)
[3,5,7,8,2,1,4,6]=>([(0,7),(1,7),(2,3),(2,7),(3,5),(3,6),(5,4),(7,6)],8)
[2,6,7,8,1,4,3,5]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(3,2),(4,3),(6,5),(7,5)],8)
[6,5,7,8,3,1,4,2]=>([(0,7),(1,7),(2,6),(3,5),(3,6),(7,4)],8)
[2,5,7,8,3,1,4,6]=>([(0,7),(1,3),(1,5),(3,7),(4,2),(5,4),(5,6),(7,6)],8)
[2,4,7,3,8,1,5,6]=>([(0,7),(1,4),(1,5),(3,6),(4,6),(4,7),(5,3),(5,7),(7,2)],8)
[6,4,7,3,8,1,5,2]=>([(0,6),(0,7),(1,5),(2,5),(2,7),(3,4),(3,7),(5,6)],8)
[6,4,7,3,8,1,2,5]=>([(0,6),(0,7),(1,5),(2,5),(2,7),(3,4),(4,7),(5,6)],8)
[7,4,6,3,8,2,1,5]=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
[6,3,2,5,4,8,1,7]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,5,2,3,8,1,7]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,5,3,2,8,1,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[5,4,6,3,8,2,1,7]=>([(0,7),(1,7),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8)
[5,4,7,3,8,1,6,2]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,7),(5,6)],8)
[2,5,7,8,3,1,6,4]=>([(0,6),(0,7),(1,3),(1,5),(3,6),(3,7),(4,2),(5,4),(5,7)],8)
[4,5,7,8,3,1,2,6]=>([(0,7),(1,6),(2,4),(4,7),(5,3),(6,5),(6,7)],8)
[4,5,6,8,2,3,1,7]=>([(0,7),(1,6),(2,4),(4,7),(5,3),(5,7),(6,5)],8)
[5,4,6,2,8,3,1,7]=>([(0,7),(1,5),(2,5),(3,4),(3,6),(4,7),(5,6),(5,7)],8)
[5,3,2,6,8,4,1,7]=>([(0,7),(1,6),(2,5),(2,7),(3,5),(3,7),(5,6),(7,4),(7,6)],8)
[5,4,7,2,8,1,3,6]=>([(0,5),(1,5),(1,6),(2,4),(2,7),(3,4),(3,7),(4,6),(5,7)],8)
[4,5,7,8,2,1,3,6]=>([(0,3),(1,6),(2,6),(3,5),(3,7),(5,4),(6,7)],8)
[4,6,7,8,1,3,2,5]=>([(0,6),(0,7),(1,3),(1,4),(3,7),(4,7),(5,2),(6,5)],8)
[4,6,7,8,1,3,5,2]=>([(0,6),(0,7),(1,3),(1,4),(4,7),(5,2),(6,5)],8)
[2,6,7,8,1,3,5,4]=>([(0,7),(1,6),(1,7),(5,2),(6,5),(7,3),(7,4)],8)
[2,6,7,8,1,5,3,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(5,4),(7,2)],8)
[4,6,7,8,1,5,2,3]=>([(0,5),(0,7),(1,6),(1,7),(4,3),(5,4),(6,2)],8)
[4,6,7,8,1,2,5,3]=>([(0,6),(1,5),(1,7),(4,3),(5,4),(6,2),(6,7)],8)
[4,5,7,8,2,1,6,3]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(5,4)],8)
[5,4,7,2,8,1,6,3]=>([(0,4),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(5,6)],8)
[5,3,2,7,8,1,6,4]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4)],8)
[4,3,2,7,8,1,6,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4)],8)
[3,5,7,8,2,1,6,4]=>([(0,3),(0,6),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(5,4)],8)
[3,6,7,8,1,2,5,4]=>([(0,3),(1,5),(1,6),(1,7),(3,6),(3,7),(4,2),(5,4)],8)
[3,6,7,8,1,5,2,4]=>([(0,3),(0,7),(1,5),(1,6),(1,7),(3,6),(4,2),(5,4)],8)
[3,6,7,8,1,5,4,2]=>([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(4,2),(5,4)],8)
[2,6,7,8,1,5,4,3]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(3,2),(4,3)],8)
[4,2,7,1,5,3,8,6]=>([(0,3),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(4,7),(6,5),(6,7)],8)
[4,2,8,6,1,5,3,7]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[3,2,6,7,5,1,4,8]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,3),(6,7)],8)
[2,7,1,3,5,4,8,6]=>([(0,6),(1,2),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(6,3),(6,4)],8)
[4,7,2,1,5,8,6,3]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,7),(3,6),(7,4),(7,6)],8)
[7,2,1,3,5,8,6,4]=>([(0,7),(1,6),(2,6),(4,5),(4,7),(6,3),(6,4)],8)
[2,3,6,4,7,1,5,8]=>([(0,7),(1,4),(2,5),(3,5),(3,7),(4,2),(4,3),(5,6),(7,6)],8)
[1,3,4,8,2,7,5,6]=>([(0,3),(0,5),(3,6),(3,7),(4,2),(4,6),(4,7),(5,4),(7,1)],8)
[3,1,4,8,2,6,7,5]=>([(0,7),(1,3),(1,7),(3,5),(3,6),(6,4),(7,2),(7,5),(7,6)],8)
[8,3,1,6,2,5,7,4]=>([(1,3),(1,6),(2,5),(2,6),(2,7),(3,5),(3,7),(6,4),(7,4)],8)
[4,8,6,2,1,5,7,3]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(4,6),(7,6)],8)
[4,8,3,6,5,1,7,2]=>([(0,5),(0,6),(1,3),(1,7),(2,4),(2,5),(2,6),(5,7),(6,7)],8)
[6,4,7,3,5,1,8,2]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,7,5,1,8,2,3]=>([(0,6),(1,3),(1,7),(2,4),(2,6),(3,5),(4,7),(6,7)],8)
[3,6,1,7,5,8,2,4]=>([(0,3),(0,5),(0,7),(1,2),(1,6),(1,7),(2,5),(3,6),(6,4),(7,4)],8)
[7,3,5,1,6,8,2,4]=>([(0,5),(1,4),(1,6),(2,3),(2,7),(3,6),(4,7),(7,5)],8)
[4,7,3,5,6,1,8,2]=>([(0,6),(1,3),(1,7),(2,4),(2,6),(4,7),(5,7),(6,5)],8)
[3,4,6,8,5,1,7,2]=>([(0,6),(1,4),(1,7),(3,7),(5,2),(5,7),(6,3),(6,5)],8)
[4,6,8,2,1,5,7,3]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,7),(3,4),(3,6),(7,6)],8)
[6,8,2,1,3,5,7,4]=>([(0,6),(1,6),(2,3),(2,7),(5,7),(6,4),(6,5)],8)
[1,8,2,3,5,7,4,6]=>([(0,3),(0,5),(2,7),(4,1),(4,7),(5,6),(6,2),(6,4)],8)
[2,7,3,6,1,4,5,8]=>([(0,6),(1,3),(1,5),(2,7),(3,7),(4,7),(5,2),(5,6),(6,4)],8)
[2,6,1,3,5,8,4,7]=>([(0,6),(1,4),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(6,2),(6,3)],8)
[7,3,2,5,6,1,4,8]=>([(0,7),(1,6),(2,5),(2,6),(3,5),(3,6),(4,7),(5,4),(6,7)],8)
[4,7,5,2,6,1,3,8]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(3,6),(4,7),(5,7),(6,7)],8)
[4,6,2,8,1,5,3,7]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,5),(3,7),(4,7),(6,7)],8)
[8,4,1,2,7,5,3,6]=>([(1,6),(1,7),(2,3),(3,4),(3,6),(3,7),(4,5),(7,5)],8)
[4,5,6,2,7,1,3,8]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6),(5,7),(6,7)],8)
[8,5,1,2,6,3,4,7]=>([(1,3),(2,6),(3,5),(3,6),(4,7),(5,4),(6,7)],8)
[1,6,2,7,4,8,3,5]=>([(0,3),(0,4),(1,5),(2,5),(2,7),(3,6),(4,1),(4,2),(4,6),(6,7)],8)
[6,2,1,7,8,5,3,4]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(7,4)],8)
[6,7,3,8,4,1,5,2]=>([(0,5),(1,4),(1,7),(2,3),(2,6),(4,6),(5,7)],8)
[2,7,8,4,1,5,6,3]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(4,7),(5,3),(7,2)],8)
[2,7,1,8,5,6,3,4]=>([(0,5),(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(6,4),(7,3)],8)
[8,2,5,1,6,7,3,4]=>([(1,6),(1,7),(2,3),(2,6),(3,7),(6,5),(7,4)],8)
[8,2,4,5,1,6,7,3]=>([(1,6),(1,7),(2,4),(2,6),(4,5),(5,7),(7,3)],8)
[3,8,4,5,6,1,7,2]=>([(0,4),(0,7),(1,2),(1,6),(3,7),(5,3),(6,5)],8)
[4,5,8,3,6,7,1,2]=>([(0,7),(1,5),(2,6),(6,3),(6,7),(7,4)],8)
[4,5,8,3,7,6,1,2]=>([(0,6),(0,7),(1,3),(2,4),(4,5),(4,6),(4,7)],8)
[4,2,8,3,7,1,6,5]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7)],8)
[7,2,3,4,8,1,6,5]=>([(0,5),(1,6),(1,7),(2,3),(3,4),(4,5),(4,6),(4,7)],8)
[7,2,3,4,8,1,5,6]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(5,7),(7,3)],8)
[7,6,3,4,8,5,1,2]=>([(0,7),(1,7),(2,4),(3,5),(5,6),(5,7)],8)
[7,6,3,5,8,4,1,2]=>([(0,7),(1,7),(2,5),(3,4),(3,6),(6,7)],8)
[7,6,3,8,4,5,1,2]=>([(0,7),(1,7),(2,4),(3,5),(3,7),(5,6)],8)
[7,2,3,8,5,1,4,6]=>([(0,6),(1,7),(2,3),(3,4),(3,6),(3,7),(4,5),(7,5)],8)
[7,2,3,8,5,1,6,4]=>([(0,6),(1,5),(1,7),(2,3),(3,4),(3,6),(3,7),(4,5)],8)
[2,6,4,8,1,5,7,3]=>([(0,2),(0,3),(0,6),(1,6),(1,7),(2,4),(2,5),(3,5),(3,7),(7,4)],8)
[7,2,3,8,4,1,5,6]=>([(0,7),(1,6),(2,3),(3,5),(3,7),(5,6),(6,4)],8)
[7,2,3,5,8,1,4,6]=>([(0,7),(1,5),(2,3),(3,4),(3,7),(4,5),(4,6),(7,6)],8)
[7,8,2,3,6,1,4,5]=>([(0,7),(1,5),(2,6),(6,3),(6,7),(7,4)],8)
[7,8,2,3,6,1,5,4]=>([(0,6),(0,7),(1,3),(2,4),(4,5),(4,6),(4,7)],8)
[4,2,6,3,7,1,5,8]=>([(0,7),(1,4),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(6,5),(7,5)],8)
[7,2,3,5,8,1,6,4]=>([(0,5),(1,6),(1,7),(2,3),(3,4),(3,7),(4,5),(4,6)],8)
[7,2,3,8,4,1,6,5]=>([(0,7),(1,5),(1,6),(2,3),(3,4),(3,7),(4,5),(4,6)],8)
[2,6,4,8,1,3,7,5]=>([(0,6),(1,2),(1,3),(1,6),(2,5),(2,7),(3,4),(3,5),(3,7),(6,4),(6,7)],8)
[3,6,4,8,1,7,5,2]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(2,5),(2,7),(3,5),(3,6),(3,7)],8)
[7,6,5,1,2,3,8,4]=>([(0,4),(1,7),(2,7),(3,7),(4,6),(6,5),(6,7)],8)
[7,6,5,1,4,2,8,3]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[2,6,4,5,1,8,7,3]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,2)],8)
[3,5,6,4,1,2,7,8]=>([(0,5),(1,3),(1,6),(2,7),(3,7),(5,7),(6,2),(7,4)],8)
[7,8,5,4,1,2,6,3]=>([(0,7),(1,7),(2,4),(3,5),(5,6),(5,7)],8)
[3,5,6,4,1,2,8,7]=>([(0,4),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[7,6,5,1,4,2,3,8]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,6,5,1,2,4,3,8]=>([(0,4),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,6,5,1,2,4,8,3]=>([(0,4),(1,7),(2,7),(3,7),(4,5),(4,6),(6,7)],8)
[7,6,5,1,3,2,8,4]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,5,1,3,2,4,8]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(4,6),(5,6),(6,7)],8)
[7,6,5,1,3,4,2,8]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,2,3,4,5,1,8,6]=>([(0,3),(1,7),(2,6),(2,7),(3,5),(4,6),(4,7),(5,4)],8)
[2,6,4,3,1,5,8,7]=>([(0,7),(1,2),(1,3),(1,4),(2,7),(3,7),(4,5),(4,6),(7,5),(7,6)],8)
[2,6,4,3,1,8,5,7]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(6,5)],8)
[2,6,4,3,1,8,7,5]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,5,8,4,1,2,7,6]=>([(0,4),(1,3),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,6),(5,7)],8)
[3,5,8,4,1,2,6,7]=>([(0,5),(1,3),(1,6),(3,7),(5,7),(6,2),(6,7),(7,4)],8)
[3,5,8,4,1,6,2,7]=>([(0,4),(0,7),(1,3),(1,5),(3,7),(4,6),(5,2),(5,7),(7,6)],8)
[4,2,8,3,6,1,7,5]=>([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(6,5)],8)
[3,5,8,4,1,6,7,2]=>([(0,5),(0,7),(1,3),(1,6),(3,7),(6,2),(6,7),(7,4)],8)
[2,5,8,4,1,7,3,6]=>([(0,5),(0,7),(1,3),(1,4),(1,5),(3,6),(3,7),(4,2),(4,6),(4,7),(5,6)],8)
[3,6,4,2,1,7,8,5]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(3,7),(5,6),(5,7),(7,4)],8)
[3,6,4,2,1,7,5,8]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[3,5,6,4,1,8,7,2]=>([(0,4),(0,6),(0,7),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(5,2)],8)
[2,6,4,5,1,3,7,8]=>([(0,6),(1,3),(1,5),(1,6),(2,7),(3,7),(5,2),(6,7),(7,4)],8)
[7,6,5,1,4,3,8,2]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[7,6,5,1,2,8,4,3]=>([(0,4),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7)],8)
[7,6,5,1,2,8,3,4]=>([(0,4),(1,7),(2,7),(3,7),(4,6),(4,7),(6,5)],8)
[7,6,5,1,8,2,4,3]=>([(0,7),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6)],8)
[7,6,5,1,8,2,3,4]=>([(0,7),(1,7),(2,7),(3,4),(3,7),(4,6),(6,5)],8)
[7,6,5,1,8,3,2,4]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
[7,6,5,1,4,8,2,3]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,6,4,5,1,7,2,8]=>([(0,4),(0,7),(1,3),(1,5),(2,7),(3,7),(4,6),(5,2),(7,6)],8)
[2,5,6,4,1,7,8,3]=>([(0,6),(0,7),(1,3),(1,5),(1,6),(2,7),(3,7),(5,2),(7,4)],8)
[7,8,5,4,1,6,3,2]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(3,7)],8)
[2,5,6,4,1,7,3,8]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(2,7),(3,7),(4,2),(6,5),(7,5)],8)
[3,6,4,5,1,7,8,2]=>([(0,5),(0,7),(1,3),(1,6),(2,7),(3,7),(6,2),(7,4)],8)
[7,6,5,1,4,8,3,2]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(6,7)],8)
[7,6,5,1,8,3,4,2]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,7),(5,6)],8)
[7,6,5,1,8,4,2,3]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,7),(5,6)],8)
[4,1,7,6,2,8,5,3]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,6,2,1,3,5,4]=>([(1,7),(2,7),(3,4),(7,5),(7,6)],8)
[3,7,6,1,2,8,4,5]=>([(0,5),(1,2),(1,3),(1,6),(2,7),(3,7),(5,6),(5,7),(6,4)],8)
[2,6,5,3,1,4,8,7]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[4,6,1,5,3,2,8,7]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,1,4,2,5,8,7]=>([(0,3),(0,6),(1,2),(1,6),(2,7),(3,4),(3,5),(6,7),(7,4),(7,5)],8)
[2,6,4,5,7,8,1,3]=>([(0,6),(1,4),(1,5),(1,6),(3,7),(4,7),(5,3),(7,2)],8)
[8,7,1,6,5,2,4,3]=>([(2,5),(2,6),(2,7),(7,3),(7,4)],8)
[7,2,5,6,8,1,3,4]=>([(0,7),(1,6),(2,4),(2,7),(4,5),(5,6),(7,3)],8)
[6,1,3,4,2,8,7,5]=>([(0,6),(0,7),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,2)],8)
[2,4,5,6,1,8,7,3]=>([(0,5),(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(3,2),(4,3)],8)
[8,4,1,6,5,7,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(5,7),(6,7)],8)
[2,8,3,4,7,5,1,6]=>([(0,7),(1,3),(1,5),(4,7),(5,6),(6,2),(6,4)],8)
[6,8,2,7,4,3,5,1]=>([(1,3),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[4,7,8,5,1,6,3,2]=>([(0,5),(0,6),(1,3),(1,4),(1,7),(5,7),(6,2)],8)
[8,2,6,4,7,3,5,1]=>([(2,3),(2,4),(2,5),(3,7),(4,6),(5,6),(5,7)],8)
[4,8,6,1,7,3,2,5]=>([(0,2),(0,5),(0,7),(1,3),(1,4),(1,6),(3,7),(4,7),(5,6)],8)
[8,7,3,2,1,5,4,6]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[3,8,5,1,7,2,4,6]=>([(0,4),(0,7),(1,2),(1,3),(1,5),(3,6),(3,7),(4,5),(5,6)],8)
[6,8,7,1,3,2,4,5]=>([(0,3),(0,4),(1,5),(1,6),(5,7),(6,7),(7,2)],8)
[2,5,1,8,7,4,6,3]=>([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(7,3)],8)
[3,7,1,8,4,5,6,2]=>([(0,4),(0,7),(1,3),(1,6),(1,7),(4,6),(5,2),(7,5)],8)
[6,2,3,8,4,7,5,1]=>([(1,3),(2,6),(2,7),(3,5),(3,6),(5,4),(5,7)],8)
[8,6,4,3,1,7,2,5]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
[8,3,7,4,6,1,2,5]=>([(1,5),(2,4),(2,6),(5,7),(6,3),(6,7)],8)
[7,1,3,8,6,4,5,2]=>([(0,7),(1,4),(1,6),(5,3),(6,2),(6,5),(6,7)],8)
[2,3,5,8,6,7,4,1]=>([(1,7),(5,4),(6,3),(6,5),(7,2),(7,6)],8)
[7,4,2,1,8,6,5,3]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[4,6,7,2,5,8,3,1]=>([(1,3),(1,6),(2,4),(2,6),(4,5),(5,7),(6,7)],8)
[7,6,2,5,3,8,1,4]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[6,2,1,3,4,8,7,5]=>([(0,5),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(5,3)],8)
[6,5,4,2,8,3,1,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[5,4,3,1,8,7,2,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7)],8)
[6,1,4,3,8,5,2,7]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7)],8)
[4,7,6,2,8,1,5,3]=>([(0,5),(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(3,7),(4,7)],8)
[6,4,5,1,7,8,3,2]=>([(0,7),(1,5),(2,3),(2,4),(2,7),(5,7),(7,6)],8)
[4,2,3,1,7,8,6,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)
[3,4,2,1,8,6,7,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)
[2,7,6,8,1,5,3,4]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(3,5),(4,5),(7,2)],8)
[6,4,5,8,3,1,2,7]=>([(0,7),(1,6),(1,7),(2,4),(3,5),(4,7),(5,6),(5,7)],8)
[8,1,3,2,5,6,7,4]=>([(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(5,2),(7,5)],8)
[3,6,8,1,5,2,4,7]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,5),(4,2),(4,7),(5,7),(6,7)],8)
[3,2,8,7,4,5,1,6]=>([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(7,3)],8)
[6,3,8,5,7,4,2,1]=>([(2,6),(2,7),(3,4),(3,5),(3,6),(5,7)],8)
[7,4,6,8,5,1,2,3]=>([(0,7),(1,6),(2,4),(2,5),(5,7),(6,3)],8)
[2,1,4,8,7,5,3,6]=>([(0,6),(0,7),(1,6),(1,7),(4,5),(6,5),(7,2),(7,3),(7,4)],8)
[2,1,6,8,3,7,5,4]=>([(0,6),(0,7),(1,6),(1,7),(6,4),(6,5),(7,2),(7,3),(7,5)],8)
[3,6,8,2,4,1,5,7]=>([(0,6),(1,5),(2,3),(2,5),(3,4),(3,7),(5,6),(6,7)],8)
[6,2,8,1,7,5,4,3]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[2,6,5,4,8,1,3,7]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[6,5,3,4,8,1,7,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,7),(5,6),(5,7)],8)
[8,4,3,2,5,1,7,6]=>([(1,7),(2,7),(3,7),(4,5),(4,6),(7,5),(7,6)],8)
[4,2,8,1,5,3,6,7]=>([(0,4),(0,7),(1,5),(1,7),(2,4),(2,5),(2,7),(5,6),(6,3),(7,6)],8)
[5,1,8,2,6,4,3,7]=>([(0,5),(0,6),(1,4),(1,5),(2,7),(3,7),(4,2),(4,3),(4,6),(6,7)],8)
[7,4,8,6,2,1,3,5]=>([(0,5),(1,5),(2,6),(3,4),(3,6),(3,7),(5,7)],8)
[4,6,2,8,3,7,5,1]=>([(1,4),(1,6),(2,3),(2,5),(3,6),(3,7),(4,5),(4,7)],8)
[2,1,5,8,3,6,4,7]=>([(0,6),(0,7),(1,6),(1,7),(3,4),(5,4),(6,3),(6,5),(7,2),(7,5)],8)
[2,8,5,3,6,7,1,4]=>([(0,6),(1,3),(1,4),(1,5),(4,7),(5,6),(5,7),(7,2)],8)
[7,8,5,6,4,1,3,2]=>([(1,5),(2,4),(3,6),(3,7)],8)
[5,8,4,1,6,3,7,2]=>([(0,7),(1,4),(1,7),(2,3),(2,5),(2,7),(5,6),(7,6)],8)
[4,8,1,3,5,7,6,2]=>([(0,6),(0,7),(1,2),(1,3),(3,7),(7,4),(7,5)],8)
[3,8,1,4,5,6,2,7]=>([(0,3),(0,7),(1,4),(1,7),(2,6),(4,6),(5,2),(7,5)],8)
[7,6,8,3,5,1,4,2]=>([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7)],8)
[7,8,6,3,5,1,4,2]=>([(1,6),(2,5),(2,7),(3,4),(3,7)],8)
[5,3,8,7,6,1,4,2]=>([(0,3),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7)],8)
[6,5,8,4,7,1,3,2]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5)],8)
[6,7,4,2,5,3,1,8]=>([(0,7),(1,6),(2,5),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[7,6,4,8,3,1,5,2]=>([(0,6),(1,6),(2,7),(3,6),(3,7),(4,5),(4,7)],8)
[7,4,8,5,6,1,3,2]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(6,3)],8)
[7,4,2,5,6,3,1,8]=>([(0,7),(1,7),(2,6),(3,4),(3,6),(4,7),(5,7),(6,5)],8)
[4,2,7,5,6,3,1,8]=>([(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[3,4,7,5,6,2,1,8]=>([(0,7),(1,7),(2,6),(3,7),(4,7),(5,4),(6,3),(6,5)],8)
[4,7,3,5,6,2,1,8]=>([(0,7),(1,7),(2,6),(3,4),(3,6),(4,7),(5,7),(6,5)],8)
[3,7,2,5,6,4,1,8]=>([(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[7,8,3,5,6,1,4,2]=>([(0,5),(1,4),(1,7),(2,6),(2,7),(6,3)],8)
[1,6,8,5,2,7,4,3]=>([(0,4),(0,5),(0,6),(4,7),(5,3),(5,7),(6,1),(6,2),(6,7)],8)
[6,2,8,5,1,7,4,3]=>([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,7)],8)
[6,7,4,8,2,1,5,3]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(4,6)],8)
[3,2,7,8,6,1,5,4]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(5,3)],8)
[6,8,4,1,2,3,7,5]=>([(0,6),(0,7),(1,4),(2,3),(2,7),(4,5),(5,6),(5,7)],8)
[4,1,8,5,6,3,2,7]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(6,2)],8)
[1,8,2,5,6,4,3,7]=>([(0,4),(0,6),(1,7),(2,7),(3,7),(5,3),(6,1),(6,2),(6,5)],8)
[6,1,8,5,3,7,4,2]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(4,7),(5,2),(5,7)],8)
[3,8,1,5,2,7,6,4]=>([(0,3),(0,7),(1,2),(1,6),(1,7),(3,4),(3,5),(3,6),(7,4),(7,5)],8)
[8,2,1,5,3,7,6,4]=>([(1,6),(1,7),(2,6),(2,7),(6,4),(6,5),(7,3),(7,4),(7,5)],8)
[1,5,2,4,6,7,8,3]=>([(0,4),(0,6),(3,7),(4,7),(5,2),(6,1),(6,3),(7,5)],8)
[4,1,5,3,6,7,8,2]=>([(0,7),(1,3),(1,4),(1,7),(4,6),(5,2),(6,5),(7,6)],8)
[8,1,6,5,3,7,2,4]=>([(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(5,6),(5,7)],8)
[7,1,4,6,3,2,8,5]=>([(0,7),(1,3),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,6)],8)
[3,2,6,4,1,7,8,5]=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(4,7),(5,6),(5,7),(7,3)],8)
[7,6,4,3,1,2,8,5]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[8,6,3,5,1,7,2,4]=>([(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)
[4,5,3,1,6,7,8,2]=>([(0,7),(1,5),(2,4),(2,7),(5,7),(6,3),(7,6)],8)
[3,5,2,1,6,7,8,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(3,7),(4,5),(7,4)],8)
[5,2,3,1,6,7,8,4]=>([(0,7),(1,6),(1,7),(2,4),(3,5),(4,6),(4,7),(7,3)],8)
[1,5,3,2,6,7,8,4]=>([(0,2),(0,3),(0,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(7,5)],8)
[8,4,6,5,1,7,2,3]=>([(1,6),(1,7),(2,4),(2,5),(4,7),(5,7),(6,3)],8)
[7,5,4,6,1,2,8,3]=>([(0,7),(1,6),(2,6),(3,4),(4,5),(4,7),(6,7)],8)
[3,2,5,6,1,7,8,4]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(4,6),(5,4),(6,3)],8)
[3,2,8,7,6,1,4,5]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[6,8,4,7,2,1,3,5]=>([(0,5),(1,5),(2,6),(2,7),(3,4),(3,6),(5,7)],8)
[3,8,7,5,6,1,2,4]=>([(0,5),(1,3),(1,4),(1,6),(1,7),(5,7),(6,2)],8)
[8,2,7,5,6,1,3,4]=>([(1,7),(2,4),(2,6),(2,7),(6,3),(7,5)],8)
[4,8,6,5,1,7,3,2]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(3,7),(4,7)],8)
[1,7,4,6,2,3,8,5]=>([(0,3),(0,4),(0,5),(1,7),(2,6),(2,7),(3,7),(4,2),(5,1),(5,6)],8)
[7,6,4,2,1,5,8,3]=>([(0,7),(1,7),(2,6),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
[5,7,4,6,1,3,8,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(4,7),(5,7),(6,7)],8)
[8,6,4,7,3,1,2,5]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(5,7)],8)
[5,2,4,3,7,1,8,6]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[3,5,4,2,7,1,8,6]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[8,6,4,1,3,5,2,7]=>([(1,7),(2,6),(3,4),(3,5),(4,7),(5,6),(6,7)],8)
[6,7,4,1,5,3,8,2]=>([(0,6),(1,5),(2,3),(2,4),(2,6),(4,7),(5,7),(6,7)],8)
[7,5,4,1,2,6,8,3]=>([(0,7),(1,7),(2,6),(3,4),(4,5),(4,7),(7,6)],8)
[1,7,4,2,3,6,8,5]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(3,5),(3,6),(4,1),(6,7)],8)
[1,8,2,5,3,7,6,4]=>([(0,3),(0,5),(2,6),(2,7),(4,1),(4,6),(4,7),(5,2),(5,4)],8)
[6,8,1,5,4,7,3,2]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(4,7),(5,7)],8)
[8,2,1,5,6,4,3,7]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[3,8,1,5,6,4,2,7]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(4,7),(5,7),(6,2)],8)
[6,8,4,1,2,5,3,7]=>([(0,6),(1,4),(2,3),(2,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,2,8,1,6,5,4,7]=>([(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(5,4),(6,4),(7,4)],8)
[3,2,6,1,5,7,8,4]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(4,5),(5,3),(7,5)],8)
[7,6,4,1,5,2,8,3]=>([(0,7),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(6,7)],8)
[8,6,1,5,4,7,2,3]=>([(1,7),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3)],8)
[3,5,1,4,6,7,8,2]=>([(0,3),(0,7),(1,4),(1,7),(4,6),(5,2),(6,5),(7,6)],8)
[5,2,1,4,6,7,8,3]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(6,7),(7,3)],8)
[5,4,1,3,6,7,8,2]=>([(0,7),(1,7),(2,4),(2,5),(5,7),(6,3),(7,6)],8)
[8,4,1,5,3,7,2,6]=>([(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,4,1,3,2,8,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,5,1,4,7,8,6]=>([(0,7),(1,4),(1,7),(2,4),(2,7),(4,5),(4,6),(6,3),(7,5),(7,6)],8)
[7,1,4,3,5,2,8,6]=>([(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8)
[8,1,3,5,4,7,2,6]=>([(1,2),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,3),(5,4)],8)
[5,1,3,4,6,7,8,2]=>([(0,7),(1,3),(1,5),(4,7),(5,4),(6,2),(7,6)],8)
[3,1,8,2,5,7,4,6]=>([(0,3),(0,5),(1,5),(1,6),(1,7),(3,6),(3,7),(6,4),(7,2),(7,4)],8)
[8,3,2,6,1,4,7,5]=>([(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(7,4),(7,6)],8)
[2,8,1,6,4,3,7,5]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(4,7),(5,3),(5,7),(6,3),(6,7)],8)
[2,6,1,3,8,7,5,4]=>([(0,7),(1,4),(1,7),(4,5),(4,6),(7,2),(7,3),(7,5),(7,6)],8)
[2,5,7,1,3,8,6,4]=>([(0,7),(1,4),(1,7),(3,5),(4,3),(4,6),(7,2),(7,5),(7,6)],8)
[2,6,8,1,5,7,4,3]=>([(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(3,2),(3,4),(7,4)],8)
[2,7,1,5,8,4,6,3]=>([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(6,3),(7,3),(7,4)],8)
[2,7,1,6,4,8,3,5]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,7),(4,7),(5,3),(6,3),(6,7)],8)
[2,7,1,6,5,3,8,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,2),(6,7)],8)
[2,8,1,7,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)
[8,3,2,7,1,6,5,4]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[4,1,8,7,3,2,6,5]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7)],8)
[4,1,7,2,8,6,5,3]=>([(0,3),(0,7),(1,5),(1,6),(1,7),(3,2),(3,4),(3,5),(3,6),(7,4)],8)
[3,7,1,8,6,5,4,2]=>([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(3,4)],8)
[3,7,6,1,4,2,5,8]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,7),(3,7),(4,5),(5,7),(6,5)],8)
[3,7,5,1,4,6,8,2]=>([(0,4),(0,7),(1,2),(1,3),(1,7),(2,6),(3,5),(5,6),(7,5)],8)
[3,6,8,5,1,4,7,2]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(3,7),(5,2),(5,7),(6,7)],8)
[7,3,5,8,2,1,4,6]=>([(0,7),(1,7),(2,5),(3,4),(3,7),(4,5),(4,6),(7,6)],8)
[7,3,6,2,1,4,5,8]=>([(0,7),(1,6),(2,6),(3,4),(3,6),(4,7),(5,7),(6,5)],8)
[7,3,6,2,1,5,4,8]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[7,4,2,8,1,6,5,3]=>([(0,5),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[8,7,5,3,2,1,6,4]=>([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,2,6,3,1,4,8]=>([(0,6),(1,7),(2,5),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,4,6,2,1,8,3,5]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)
[6,8,4,5,2,1,7,3]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,7),(5,7)],8)
[4,6,8,5,1,7,3,2]=>([(0,5),(0,6),(1,3),(1,4),(1,7),(5,7),(6,2),(6,7)],8)
[4,7,5,1,3,8,6,2]=>([(0,2),(0,4),(1,3),(1,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,6,1,5,3,2,8]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,1,7,6,3,8,2,4]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,1,7,6,4,2,8,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,2),(4,7),(5,7),(6,7)],8)
[5,1,8,7,6,4,3,2]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)
[8,5,2,1,7,6,4,3]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[8,5,2,1,6,3,7,4]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,5)],8)
[5,1,8,6,3,2,7,4]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,7),(3,4),(3,7),(6,7)],8)
[3,6,1,7,4,8,2,5]=>([(0,3),(0,7),(1,2),(1,6),(1,7),(2,5),(3,6),(6,4),(7,4),(7,5)],8)
[4,1,8,6,3,7,2,5]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(2,7),(3,4),(3,7),(6,4)],8)
[8,4,2,5,7,3,1,6]=>([(1,7),(2,6),(3,4),(3,6),(4,7),(6,5),(6,7)],8)
[3,4,6,8,5,7,1,2]=>([(0,4),(1,6),(3,7),(5,2),(5,7),(6,3),(6,5)],8)
[5,4,8,2,7,3,6,1]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(4,7)],8)
[5,4,8,7,3,6,1,2]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4)],8)
[8,5,4,7,3,6,2,1]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,3,8,7,1,2,5]=>([(0,5),(0,6),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,7)],8)
[6,3,7,2,4,8,1,5]=>([(0,6),(1,4),(2,5),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[5,6,8,4,2,7,3,1]=>([(1,7),(2,5),(3,4),(3,7),(5,6),(5,7)],8)
[5,7,4,2,8,1,3,6]=>([(0,6),(0,7),(1,5),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)
[6,5,2,7,1,3,8,4]=>([(0,6),(1,7),(2,7),(3,6),(3,7),(6,4),(6,5),(7,5)],8)
[8,6,5,4,2,1,7,3]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,7,3,1,8,2,5]=>([(0,6),(0,7),(1,5),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)
[5,7,4,3,8,6,1,2]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(3,5),(3,6),(5,7)],8)
[7,5,8,4,6,3,2,1]=>([(3,7),(4,6),(5,6),(5,7)],8)
[7,6,4,8,3,5,2,1]=>([(2,7),(3,7),(4,6),(5,6),(5,7)],8)
[7,6,5,3,8,2,4,1]=>([(1,7),(2,7),(3,7),(4,6),(5,6),(5,7)],8)
[5,6,3,7,4,2,1,8]=>([(0,7),(1,7),(2,5),(3,4),(3,6),(4,7),(5,6),(6,7)],8)
[7,6,3,8,5,1,4,2]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(3,6),(3,7)],8)
[6,4,8,1,3,2,5,7]=>([(0,5),(0,7),(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(7,6)],8)
[7,4,8,6,3,1,5,2]=>([(0,7),(1,6),(2,5),(2,7),(3,4),(3,6),(3,7)],8)
[4,2,7,6,5,3,1,8]=>([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[3,7,2,4,6,5,1,8]=>([(0,7),(1,6),(2,3),(2,6),(3,7),(4,7),(5,7),(6,4),(6,5)],8)
[8,1,3,4,5,2,6,7]=>([(1,3),(1,6),(2,7),(3,7),(5,2),(6,5),(7,4)],8)
[1,6,8,4,2,5,3,7]=>([(0,3),(0,4),(0,5),(2,7),(3,6),(4,1),(4,7),(5,2),(5,6),(6,7)],8)
[6,2,8,4,1,5,7,3]=>([(0,4),(0,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,7),(7,4)],8)
[6,7,4,8,5,1,2,3]=>([(0,5),(1,6),(2,4),(2,7),(5,7),(6,3)],8)
[3,2,7,8,5,1,6,4]=>([(0,5),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(4,5),(6,3)],8)
[3,2,8,1,5,4,6,7]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(5,3),(6,5),(7,5)],8)
[6,1,4,8,5,3,7,2]=>([(0,6),(0,7),(1,2),(1,4),(1,5),(3,7),(4,7),(5,3),(5,6)],8)
[1,4,8,5,2,6,7,3]=>([(0,5),(0,6),(3,7),(5,2),(5,7),(6,1),(6,3),(7,4)],8)
[6,1,8,4,3,7,2,5]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(3,7),(4,6),(4,7)],8)
[3,7,1,4,2,5,8,6]=>([(0,3),(0,6),(1,4),(1,6),(3,7),(4,5),(6,7),(7,2),(7,5)],8)
[7,2,1,4,3,5,6,8]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,5),(4,3),(6,4),(7,4)],8)
[4,1,5,3,6,8,2,7]=>([(0,6),(1,3),(1,4),(1,6),(3,7),(4,5),(6,7),(7,2),(7,5)],8)
[6,1,8,5,3,2,7,4]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7)],8)
[7,1,4,6,3,8,5,2]=>([(0,7),(1,2),(1,4),(1,5),(3,7),(4,6),(4,7),(5,3),(5,6)],8)
[3,2,6,4,1,8,7,5]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,6,4,3,1,8,2,5]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
[3,5,2,1,8,7,6,4]=>([(0,3),(0,4),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7)],8)
[1,5,3,2,8,6,4,7]=>([(0,1),(0,2),(0,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(7,5)],8)
[5,4,2,1,7,8,6,3]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[8,2,7,6,5,1,3,4]=>([(1,7),(2,3),(2,4),(2,5),(2,7),(7,6)],8)
[8,6,2,7,1,4,5,3]=>([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[1,7,3,6,2,8,5,4]=>([(0,2),(0,3),(0,4),(1,7),(2,7),(3,5),(3,6),(3,7),(4,1),(4,5),(4,6)],8)
[7,6,3,2,1,8,5,4]=>([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,6,3,7,4,1,2,5]=>([(1,6),(2,5),(3,4),(3,6),(4,7),(5,7)],8)
[5,2,3,4,7,1,8,6]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(3,4),(4,5),(4,7),(5,6)],8)
[8,6,3,1,4,5,7,2]=>([(1,7),(2,6),(3,4),(3,6),(5,7),(6,5)],8)
[6,7,3,1,5,4,2,8]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[5,8,3,1,2,4,7,6]=>([(0,7),(1,4),(2,3),(2,5),(2,6),(4,7),(7,5),(7,6)],8)
[8,1,3,2,4,5,6,7]=>([(1,3),(1,4),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[8,4,1,7,2,3,6,5]=>([(1,5),(1,6),(1,7),(2,3),(2,5),(3,4),(4,6),(4,7)],8)
[8,2,1,6,5,4,7,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[3,8,1,5,6,4,7,2]=>([(0,4),(0,6),(0,7),(1,3),(1,6),(1,7),(2,5),(6,5),(7,2)],8)
[6,8,4,1,2,5,7,3]=>([(0,7),(1,4),(2,3),(2,6),(4,5),(4,7),(7,6)],8)
[3,2,8,1,6,5,7,4]=>([(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(6,4),(7,4)],8)
[7,6,4,1,5,2,3,8]=>([(0,7),(1,7),(2,6),(3,4),(3,6),(4,5),(5,7),(6,7)],8)
[8,6,1,5,4,7,3,2]=>([(1,7),(2,3),(2,4),(2,5),(2,6),(5,7),(6,7)],8)
[3,5,1,4,6,7,2,8]=>([(0,3),(0,6),(1,4),(1,6),(2,5),(3,7),(4,5),(6,7),(7,2)],8)
[5,2,1,4,7,6,3,8]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[4,5,8,2,1,3,7,6]=>([(0,5),(1,5),(2,3),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
[5,8,2,3,1,4,6,7]=>([(0,7),(1,4),(2,3),(2,6),(4,7),(6,5),(7,6)],8)
[4,2,1,3,5,8,7,6]=>([(0,7),(1,6),(2,6),(6,7),(7,3),(7,4),(7,5)],8)
[5,4,1,3,6,2,8,7]=>([(0,7),(1,7),(2,3),(2,4),(3,7),(4,5),(4,6),(7,5),(7,6)],8)
[8,5,4,1,3,6,2,7]=>([(1,7),(2,7),(3,4),(3,5),(4,7),(5,6),(7,6)],8)
[3,2,5,1,4,6,8,7]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(5,6),(6,3),(6,4),(7,6)],8)
[8,1,4,3,5,6,7,2]=>([(1,3),(1,4),(1,5),(4,7),(5,7),(6,2),(7,6)],8)
[7,1,3,5,4,6,2,8]=>([(0,7),(1,2),(1,5),(2,7),(3,6),(4,6),(5,3),(5,4),(6,7)],8)
[5,1,3,4,6,2,7,8]=>([(0,6),(1,3),(1,5),(3,7),(4,6),(5,4),(6,7),(7,2)],8)
[4,1,3,2,5,7,6,8]=>([(0,7),(1,2),(1,3),(2,7),(3,7),(4,6),(5,6),(7,4),(7,5)],8)
[4,6,7,3,1,5,2,8]=>([(0,6),(1,3),(1,6),(2,4),(2,6),(3,7),(4,5),(5,7),(6,7)],8)
[6,8,1,3,5,2,7,4]=>([(0,4),(0,7),(1,3),(1,5),(2,7),(3,6),(3,7),(5,2),(5,6)],8)
[6,8,3,1,4,5,7,2]=>([(0,6),(1,3),(1,7),(2,4),(2,6),(5,7),(6,5)],8)
[7,5,1,8,2,3,6,4]=>([(0,7),(1,3),(1,7),(2,6),(2,7),(3,5),(5,4),(5,6)],8)
[5,3,8,4,2,6,7,1]=>([(1,7),(2,6),(2,7),(3,4),(3,6),(4,7),(7,5)],8)
[4,1,8,3,5,7,2,6]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(3,7),(4,5),(7,2),(7,5)],8)
[4,5,7,2,3,6,8,1]=>([(1,3),(2,4),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[2,6,3,4,7,5,8,1]=>([(1,3),(1,4),(2,7),(3,6),(4,5),(5,2),(5,6),(6,7)],8)
[4,5,2,7,1,6,8,3]=>([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(3,6),(3,7),(6,5),(7,5)],8)
[3,4,1,6,5,8,2,7]=>([(0,3),(1,2),(1,5),(1,6),(2,7),(3,5),(3,6),(5,4),(5,7),(6,4),(6,7)],8)
[7,3,1,4,8,5,6,2]=>([(0,7),(1,6),(2,3),(2,7),(4,5),(7,4),(7,6)],8)
[6,4,2,8,7,1,5,3]=>([(0,5),(0,6),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[7,2,4,8,1,5,3,6]=>([(0,5),(1,3),(1,7),(2,6),(2,7),(3,5),(3,6),(6,4),(7,4)],8)
[4,6,3,1,7,8,5,2]=>([(0,6),(0,7),(1,4),(1,6),(2,3),(2,6),(2,7),(4,7),(7,5)],8)
[5,3,1,6,7,8,4,2]=>([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(4,5),(7,4)],8)
[4,1,6,2,7,8,5,3]=>([(0,5),(0,6),(1,4),(1,6),(4,3),(4,5),(4,7),(6,7),(7,2)],8)
[2,1,3,4,8,7,5,6]=>([(0,7),(1,7),(5,4),(6,2),(6,3),(6,5),(7,6)],8)
[4,8,3,7,6,5,1,2]=>([(0,5),(0,6),(0,7),(1,3),(2,4),(2,5),(2,6),(2,7)],8)
[6,3,8,7,5,4,1,2]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(2,6),(2,7)],8)
[5,3,8,7,6,4,1,2]=>([(0,5),(0,6),(0,7),(1,3),(2,4),(2,5),(2,6),(2,7)],8)
[2,8,7,6,1,5,4,3]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)
[5,2,8,7,6,1,4,3]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[6,2,8,7,5,1,4,3]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[7,8,2,6,5,1,4,3]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(2,6),(2,7)],8)
[6,1,8,7,5,4,3,2]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)
[3,1,8,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)
[7,8,2,6,1,5,4,3]=>([(0,5),(0,6),(0,7),(1,3),(2,4),(2,5),(2,6),(2,7)],8)
[6,2,8,7,1,5,4,3]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[4,2,8,1,7,6,5,3]=>([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[4,8,2,7,6,1,5,3]=>([(0,4),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7)],8)
[3,8,7,2,1,6,5,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[6,5,8,7,1,4,3,2]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5)],8)
[4,8,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7)],8)
[5,4,1,8,7,6,3,2]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[6,4,8,1,7,5,3,2]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7)],8)
[7,8,4,1,6,5,3,2]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(2,6),(2,7)],8)
[7,8,3,1,6,5,4,2]=>([(0,5),(0,6),(0,7),(1,3),(2,4),(2,5),(2,6),(2,7)],8)
[6,3,8,1,7,5,4,2]=>([(0,4),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7)],8)
[5,3,1,8,7,6,4,2]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[7,8,2,1,6,5,4,3]=>([(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7)],8)
[6,5,3,1,8,7,4,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[6,4,3,1,8,7,5,2]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[5,4,3,1,8,7,6,2]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[7,5,2,1,8,6,4,3]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[5,4,2,1,8,7,6,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[7,3,2,1,8,6,5,4]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[6,3,2,1,8,7,5,4]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[6,1,4,2,3,5,8,7]=>([(0,6),(0,7),(1,3),(1,4),(2,5),(3,5),(4,2),(5,6),(5,7)],8)
[8,6,1,4,2,3,5,7]=>([(1,6),(2,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[6,8,1,4,2,3,5,7]=>([(0,4),(0,7),(1,3),(1,5),(2,6),(3,6),(5,2),(6,7)],8)
[8,1,4,2,3,6,5,7]=>([(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(5,7),(6,7)],8)
[4,1,8,2,3,6,5,7]=>([(0,2),(0,5),(1,5),(1,6),(1,7),(2,3),(3,6),(3,7),(6,4),(7,4)],8)
[8,2,3,6,1,4,5,7]=>([(1,7),(2,3),(3,5),(3,7),(4,6),(5,6),(7,4)],8)
[6,2,3,8,1,4,5,7]=>([(0,7),(1,5),(1,6),(2,4),(3,5),(4,6),(4,7),(7,3)],8)
[4,6,2,3,8,1,5,7]=>([(0,7),(1,3),(2,4),(2,7),(3,6),(3,7),(4,5),(4,6),(7,5)],8)
[4,8,2,3,6,1,5,7]=>([(0,7),(1,4),(2,3),(2,6),(2,7),(4,6),(4,7),(6,5),(7,5)],8)
[8,2,3,6,4,1,5,7]=>([(1,3),(2,6),(3,4),(3,5),(4,7),(5,6),(6,7)],8)
[8,4,3,6,2,1,5,7]=>([(1,7),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[6,2,3,8,4,1,5,7]=>([(0,6),(0,7),(1,5),(2,3),(3,4),(3,7),(4,5),(5,6)],8)
[8,4,2,3,6,1,5,7]=>([(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5),(7,5)],8)
[6,4,2,3,8,1,5,7]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(3,4),(4,6),(4,7),(7,5)],8)
[2,6,4,3,8,1,5,7]=>([(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(7,5)],8)
[2,8,4,3,6,1,5,7]=>([(0,7),(1,2),(1,3),(1,4),(3,5),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[2,6,3,8,4,1,5,7]=>([(0,7),(1,3),(1,4),(2,7),(3,5),(3,6),(4,2),(4,6),(7,5)],8)
[6,3,8,4,2,1,5,7]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(4,7),(7,6)],8)
[2,6,3,8,1,4,5,7]=>([(0,7),(1,3),(1,4),(2,5),(3,6),(3,7),(4,5),(4,6),(7,2)],8)
[2,8,3,6,1,4,5,7]=>([(0,7),(1,2),(1,5),(3,6),(4,6),(5,4),(5,7),(7,3)],8)
[8,3,6,4,2,1,5,7]=>([(1,7),(2,7),(3,4),(3,5),(4,7),(5,6),(7,6)],8)
[2,8,3,6,4,1,5,7]=>([(0,7),(1,3),(1,5),(2,7),(4,6),(5,2),(5,4),(7,6)],8)
[8,3,6,2,4,1,5,7]=>([(1,6),(2,5),(3,4),(3,5),(4,7),(5,6),(6,7)],8)
[8,3,6,2,1,4,5,7]=>([(1,7),(2,7),(3,4),(3,7),(4,6),(5,6),(7,5)],8)
[6,2,1,3,8,4,5,7]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(4,6),(7,3),(7,5)],8)
[8,2,1,3,6,4,5,7]=>([(1,6),(2,6),(3,7),(4,5),(5,7),(6,3),(6,4)],8)
[6,3,8,2,4,1,5,7]=>([(0,6),(1,5),(2,4),(2,7),(3,4),(3,5),(5,6),(6,7)],8)
[6,2,4,3,8,1,5,7]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[3,6,4,7,8,5,1,2]=>([(0,5),(1,3),(1,6),(3,7),(6,2),(6,7),(7,4)],8)
[1,6,4,2,7,5,8,3]=>([(0,2),(0,3),(0,4),(2,7),(3,5),(3,7),(4,1),(4,5),(4,7),(5,6),(7,6)],8)
[3,6,4,2,7,1,5,8]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[1,4,7,2,5,6,8,3]=>([(0,4),(0,5),(2,6),(3,6),(4,3),(4,7),(5,1),(5,7),(7,2)],8)
[6,4,8,5,3,7,1,2]=>([(0,7),(1,6),(1,7),(2,4),(3,5),(3,6),(5,7)],8)
[1,6,5,4,2,7,8,3]=>([(0,3),(0,4),(0,5),(0,6),(3,7),(4,7),(5,7),(6,1),(6,7),(7,2)],8)
[4,2,5,3,6,1,7,8]=>([(0,6),(1,5),(2,4),(2,5),(4,7),(5,7),(6,3),(7,6)],8)
[7,1,5,3,6,2,8,4]=>([(0,7),(1,2),(1,3),(1,4),(2,6),(3,5),(3,7),(4,5),(4,6),(6,7)],8)
[1,6,5,2,4,8,7,3]=>([(0,3),(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2)],8)
[1,4,6,2,8,5,7,3]=>([(0,3),(0,4),(2,5),(2,7),(3,2),(3,6),(4,1),(4,5),(4,6),(6,7)],8)
[7,8,1,4,2,5,6,3]=>([(0,5),(1,3),(1,6),(3,7),(6,2),(6,7),(7,4)],8)
[3,4,8,5,2,1,6,7]=>([(0,7),(1,7),(2,6),(4,7),(6,3),(6,4),(7,5)],8)
[4,8,5,3,1,6,2,7]=>([(0,7),(1,5),(1,7),(2,3),(2,4),(4,7),(5,6),(7,6)],8)
[6,1,3,5,8,2,7,4]=>([(0,6),(0,7),(1,3),(1,4),(2,6),(2,7),(3,5),(3,7),(4,2),(4,5)],8)
[6,1,8,7,4,2,3,5]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,5),(3,5),(4,2)],8)
[1,2,8,5,7,3,6,4]=>([(0,6),(4,3),(4,7),(5,2),(5,7),(6,1),(6,4),(6,5)],8)
[1,3,6,8,7,5,2,4]=>([(0,4),(0,6),(4,7),(5,2),(5,3),(6,1),(6,5),(6,7)],8)
[1,8,2,5,4,7,6,3]=>([(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(5,1),(5,2),(5,3)],8)
[7,1,2,4,5,8,6,3]=>([(0,7),(1,6),(4,5),(5,2),(5,7),(6,3),(6,4)],8)
[1,2,7,3,5,8,6,4]=>([(0,6),(3,7),(4,2),(4,7),(5,1),(5,4),(6,3),(6,5)],8)
[6,1,3,2,5,7,8,4]=>([(0,7),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,7),(7,2)],8)
[4,6,2,1,7,5,3,8]=>([(0,4),(0,5),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(3,7),(4,6),(5,6),(7,6)],8)
[1,6,3,7,8,5,2,4]=>([(0,3),(0,4),(0,5),(3,7),(4,6),(5,2),(5,6),(5,7),(7,1)],8)
[4,6,2,3,7,8,1,5]=>([(0,7),(1,4),(2,3),(2,7),(3,6),(4,6),(4,7),(6,5)],8)
[4,6,3,7,1,2,8,5]=>([(0,5),(0,7),(1,3),(2,4),(2,7),(3,6),(3,7),(4,5),(5,6)],8)
[4,2,1,3,5,7,8,6]=>([(0,7),(1,6),(2,6),(4,5),(6,7),(7,3),(7,4)],8)
[7,3,2,4,5,1,8,6]=>([(0,7),(1,6),(1,7),(2,5),(3,5),(4,6),(4,7),(5,4)],8)
[3,8,2,5,4,1,7,6]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,4,2,6,3,1,5]=>([(0,7),(1,6),(1,7),(2,4),(3,5),(3,6),(5,7)],8)
[4,2,6,3,8,7,1,5]=>([(0,7),(1,4),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6)],8)
[5,8,2,7,4,3,1,6]=>([(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[4,3,8,5,1,7,2,6]=>([(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(7,4),(7,5)],8)
[4,3,6,8,1,2,7,5]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(3,6),(3,7),(5,4),(5,6)],8)
[6,4,3,5,2,8,1,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8)
[6,5,3,8,4,2,1,7]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[3,8,1,7,5,6,4,2]=>([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(7,2)],8)
[8,2,5,7,3,6,4,1]=>([(2,5),(2,6),(5,4),(5,7),(6,3),(6,7)],8)
[1,8,6,7,5,3,4,2]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(6,2),(7,1)],8)
[8,2,6,7,5,3,4,1]=>([(2,5),(2,6),(2,7),(6,4),(7,3)],8)
[1,5,8,7,2,6,4,3]=>([(0,5),(0,6),(5,3),(5,4),(5,7),(6,1),(6,2),(6,7)],8)
[5,4,8,6,2,3,7,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,7),(6,7)],8)
[2,7,6,1,3,5,4,8]=>([(0,6),(1,2),(1,3),(1,6),(2,7),(3,7),(4,7),(5,7),(6,4),(6,5)],8)
[6,4,1,8,2,5,7,3]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,7),(3,4),(3,6),(6,5)],8)
[2,8,6,1,3,5,4,7]=>([(0,6),(1,2),(1,3),(1,6),(3,7),(4,7),(5,7),(6,4),(6,5)],8)
[4,1,3,6,5,8,7,2]=>([(0,2),(0,3),(1,6),(1,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[2,1,6,3,5,8,7,4]=>([(0,6),(0,7),(1,6),(1,7),(3,4),(3,5),(6,2),(6,3),(7,4),(7,5)],8)
[2,4,1,3,8,5,7,6]=>([(0,6),(1,4),(1,6),(4,5),(4,7),(6,5),(6,7),(7,2),(7,3)],8)
[2,4,1,3,5,8,7,6]=>([(0,6),(1,5),(1,6),(5,7),(6,7),(7,2),(7,3),(7,4)],8)
[2,6,1,3,5,8,7,4]=>([(0,7),(1,4),(1,7),(3,5),(3,6),(4,5),(4,6),(7,2),(7,3)],8)
[4,6,1,3,5,8,7,2]=>([(0,4),(0,7),(1,2),(1,3),(3,7),(4,5),(4,6),(7,5),(7,6)],8)
[6,1,4,3,5,8,7,2]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(3,5),(4,5),(5,6),(5,7)],8)
[6,4,1,3,5,8,7,2]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(4,7),(7,5),(7,6)],8)
[6,2,1,3,5,8,7,4]=>([(0,5),(1,5),(2,6),(2,7),(4,6),(4,7),(5,3),(5,4)],8)
[4,2,1,3,6,5,7,8]=>([(0,7),(1,7),(2,5),(2,6),(4,3),(5,4),(6,4),(7,5),(7,6)],8)
[4,2,1,6,3,5,7,8]=>([(0,5),(0,7),(1,4),(1,7),(2,4),(2,7),(4,5),(5,6),(6,3),(7,6)],8)
[6,2,1,8,3,5,7,4]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(4,6),(5,3),(5,4)],8)
[6,2,1,3,8,5,7,4]=>([(0,6),(1,6),(2,5),(2,7),(4,7),(6,3),(6,4),(6,5)],8)
[6,1,4,3,8,5,7,2]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[1,6,4,3,8,5,7,2]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[8,1,4,3,6,5,7,2]=>([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,4,1,3,6,5,7,2]=>([(1,6),(1,7),(2,3),(2,4),(4,6),(4,7),(6,5),(7,5)],8)
[8,2,1,3,6,5,7,4]=>([(1,6),(2,6),(4,7),(5,7),(6,3),(6,4),(6,5)],8)
[8,2,1,6,3,5,7,4]=>([(1,5),(1,6),(2,5),(2,6),(4,7),(5,7),(6,3),(6,4)],8)
[8,2,1,4,3,5,7,6]=>([(1,5),(1,6),(2,5),(2,6),(5,7),(6,7),(7,3),(7,4)],8)
[6,2,1,4,3,5,7,8]=>([(0,4),(1,6),(1,7),(2,6),(2,7),(4,3),(5,4),(6,5),(7,5)],8)
[8,2,4,1,3,5,7,6]=>([(1,6),(2,3),(2,6),(3,7),(6,7),(7,4),(7,5)],8)
[8,2,6,1,3,5,7,4]=>([(1,6),(2,3),(2,6),(3,7),(5,7),(6,4),(6,5)],8)
[8,4,6,1,3,5,7,2]=>([(1,4),(1,6),(2,3),(2,5),(4,7),(5,6),(6,7)],8)
[8,4,1,6,3,5,7,2]=>([(1,5),(1,7),(2,3),(2,4),(2,5),(4,7),(5,6),(7,6)],8)
[8,1,4,6,3,5,7,2]=>([(1,3),(1,4),(1,5),(2,7),(4,6),(5,2),(5,6),(6,7)],8)
[1,8,4,6,3,5,7,2]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(4,6),(5,1),(5,6),(6,7)],8)
[1,6,4,8,3,5,7,2]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,7),(4,5),(4,6),(6,7)],8)
[6,4,1,8,3,5,7,2]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(4,6),(6,5)],8)
[6,4,8,1,3,5,7,2]=>([(0,5),(0,7),(1,5),(1,6),(2,3),(2,4),(4,7),(7,6)],8)
[6,2,8,1,3,5,7,4]=>([(0,6),(1,5),(1,6),(2,5),(2,7),(4,7),(6,3),(6,4)],8)
[4,2,8,1,3,5,7,6]=>([(0,6),(1,5),(1,7),(2,5),(2,6),(6,7),(7,3),(7,4)],8)
[2,6,8,1,3,5,7,4]=>([(0,7),(1,5),(1,7),(4,6),(5,3),(5,6),(7,2),(7,4)],8)
[4,6,8,1,3,5,7,2]=>([(0,5),(0,7),(1,3),(1,4),(4,7),(5,2),(5,6),(7,6)],8)
[4,6,1,8,3,5,7,2]=>([(0,4),(0,7),(1,2),(1,3),(1,6),(3,7),(4,5),(4,6),(7,5)],8)
[4,1,6,8,3,5,7,2]=>([(0,6),(0,7),(1,3),(1,4),(1,7),(4,6),(6,5),(7,2),(7,5)],8)
[1,4,6,3,8,5,7,2]=>([(0,2),(0,3),(0,4),(1,5),(1,7),(3,5),(3,6),(4,1),(4,6),(6,7)],8)
[4,6,1,3,8,5,7,2]=>([(0,4),(0,7),(1,2),(1,3),(3,5),(3,7),(4,5),(4,6),(7,6)],8)
[2,4,1,8,3,5,7,6]=>([(0,5),(0,6),(1,4),(1,6),(4,5),(4,7),(6,7),(7,2),(7,3)],8)
[2,1,6,8,3,5,7,4]=>([(0,6),(0,7),(1,6),(1,7),(4,5),(6,3),(6,5),(7,2),(7,4)],8)
[4,1,3,6,8,5,7,2]=>([(0,6),(0,7),(1,3),(1,4),(4,6),(4,7),(6,5),(7,2),(7,5)],8)
[1,4,3,6,8,5,7,2]=>([(0,2),(0,3),(0,4),(3,5),(3,7),(4,5),(4,7),(5,6),(7,1),(7,6)],8)
[4,1,3,8,6,5,7,2]=>([(0,2),(0,3),(1,5),(1,6),(1,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[2,1,8,3,6,5,7,4]=>([(0,6),(0,7),(1,6),(1,7),(3,5),(4,5),(7,2),(7,3),(7,4)],8)
[2,1,6,4,3,5,7,8]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(3,2),(4,3),(5,4),(6,4),(7,3)],8)
[2,6,1,4,3,5,7,8]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(3,4),(4,2),(5,4),(6,5),(7,5)],8)
[2,8,1,4,3,5,7,6]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(5,7),(6,7),(7,2),(7,3)],8)
[2,8,1,6,3,5,7,4]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(4,5),(6,5),(7,2),(7,4)],8)
[4,8,1,3,6,5,7,2]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(3,6),(3,7),(6,5),(7,5)],8)
[1,4,8,3,6,5,7,2]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6),(5,7),(6,7)],8)
[1,4,8,6,3,5,7,2]=>([(0,3),(0,4),(0,5),(2,7),(4,6),(5,1),(5,2),(5,6),(6,7)],8)
[4,1,8,6,3,5,7,2]=>([(0,2),(0,3),(0,5),(0,7),(1,5),(1,6),(1,7),(3,6),(6,4),(7,4)],8)
[4,8,1,6,3,5,7,2]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(1,7),(3,6),(6,5),(7,5)],8)
[4,8,6,1,3,5,7,2]=>([(0,2),(0,4),(1,3),(1,5),(1,7),(4,7),(5,6),(7,6)],8)
[2,8,6,1,3,5,7,4]=>([(0,7),(1,3),(1,5),(1,7),(4,6),(5,6),(7,2),(7,4)],8)
[2,8,4,1,3,5,7,6]=>([(0,6),(1,4),(1,5),(1,6),(5,7),(6,7),(7,2),(7,3)],8)
[2,6,4,1,3,5,7,8]=>([(0,6),(1,3),(1,4),(1,6),(3,7),(4,5),(5,7),(6,5),(7,2)],8)
[4,6,2,1,3,5,7,8]=>([(0,5),(1,5),(2,3),(2,6),(3,7),(5,6),(6,7),(7,4)],8)
[6,8,1,4,3,5,7,2]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(3,6),(4,6),(6,7)],8)
[6,1,8,4,3,5,7,2]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(3,5),(4,5),(5,6)],8)
[1,6,8,4,3,5,7,2]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,7),(6,7)],8)
[1,8,6,4,3,5,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,7),(4,6),(5,6),(6,7)],8)
[8,1,6,4,3,5,7,2]=>([(1,2),(1,3),(1,4),(1,5),(3,7),(4,6),(5,6),(6,7)],8)
[8,6,1,4,3,5,7,2]=>([(1,6),(2,3),(2,4),(2,5),(4,7),(5,7),(7,6)],8)
[8,6,4,1,3,5,7,2]=>([(1,7),(2,6),(3,4),(3,5),(5,7),(7,6)],8)
[8,6,2,1,3,5,7,4]=>([(1,7),(2,6),(3,6),(5,7),(6,4),(6,5)],8)
[8,4,2,1,3,5,7,6]=>([(1,7),(2,6),(3,6),(6,7),(7,4),(7,5)],8)
[7,8,6,5,2,1,4,3]=>([(2,6),(2,7),(3,6),(3,7),(4,5)],8)
[5,7,4,1,8,6,3,2]=>([(0,6),(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(5,7)],8)
[5,6,4,2,8,3,7,1]=>([(1,6),(1,7),(2,5),(3,4),(3,6),(4,7),(5,6),(5,7)],8)
[5,6,4,2,7,3,1,8]=>([(0,7),(1,6),(2,5),(3,4),(3,6),(4,7),(5,6),(6,7)],8)
[5,7,1,4,6,3,2,8]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,7),(3,7),(4,6),(5,7),(6,7)],8)
[5,8,1,4,6,3,7,2]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(3,7),(4,6),(7,6)],8)
[3,6,7,4,5,8,2,1]=>([(2,5),(2,6),(3,7),(4,7),(5,4),(6,3)],8)
[3,5,7,4,6,8,2,1]=>([(2,3),(2,4),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[6,8,4,1,7,2,5,3]=>([(0,6),(0,7),(1,3),(1,7),(2,4),(2,7),(4,5),(4,6)],8)
[5,4,6,1,7,8,3,2]=>([(0,6),(1,6),(2,4),(2,5),(2,7),(6,7),(7,3)],8)
[5,6,4,1,8,7,3,2]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(2,6),(2,7),(5,6),(5,7)],8)
[3,5,8,4,6,7,2,1]=>([(2,4),(2,6),(4,7),(6,3),(6,7),(7,5)],8)
[3,6,8,4,5,7,2,1]=>([(2,5),(2,6),(4,7),(5,4),(6,3),(6,7)],8)
[3,7,8,4,5,6,2,1]=>([(2,6),(2,7),(5,4),(6,5),(7,3)],8)
[6,8,1,4,5,3,7,2]=>([(0,5),(0,7),(1,2),(1,4),(1,6),(3,7),(4,7),(6,3)],8)
[6,7,1,4,5,3,2,8]=>([(0,5),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2)],8)
[3,7,1,5,4,6,2,8]=>([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,7),(3,7),(4,7),(5,4),(6,4)],8)
[3,8,1,5,4,6,7,2]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(5,7),(6,7),(7,2)],8)
[3,7,1,5,4,6,8,2]=>([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(3,4),(5,4),(6,5),(7,5)],8)
[6,7,1,4,5,3,8,2]=>([(0,5),(1,2),(1,4),(1,6),(3,7),(4,7),(5,7),(6,3)],8)
[5,7,1,4,6,3,8,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,7),(4,6),(5,7),(6,7)],8)
[5,6,4,2,7,3,8,1]=>([(1,7),(2,4),(3,5),(3,7),(4,7),(5,6),(7,6)],8)
[5,4,7,2,8,3,1,6]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)
[5,4,7,2,8,3,6,1]=>([(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)
[5,6,4,2,8,3,1,7]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(4,7),(5,6),(5,7)],8)
[5,8,1,4,6,3,2,7]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,7),(3,7),(4,6),(6,7)],8)
[3,8,1,5,4,6,2,7]=>([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(3,4),(5,4),(6,5),(7,5)],8)
[3,6,1,5,4,2,7,8]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(3,7),(4,7),(5,7),(6,7),(7,2)],8)
[3,6,1,5,4,8,2,7]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,3,1,4,2,5,7]=>([(0,5),(1,4),(1,5),(2,3),(2,6),(4,7),(5,7),(7,6)],8)
[7,3,8,1,4,2,5,6]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,7),(6,7),(7,4)],8)
[6,7,3,1,4,2,8,5]=>([(0,5),(1,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,1,5,4,7,8,2]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(4,7),(5,7),(6,7),(7,2)],8)
[3,4,1,2,7,6,5,8]=>([(0,3),(1,2),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[3,4,1,2,6,8,7,5]=>([(0,5),(1,4),(4,6),(4,7),(5,6),(5,7),(7,2),(7,3)],8)
[6,8,3,1,4,7,2,5]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,7),(5,6),(5,7)],8)
[6,4,7,2,8,5,1,3]=>([(0,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,7),(6,7)],8)
[5,8,1,4,7,3,2,6]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,7),(3,7),(4,6),(4,7)],8)
[7,8,1,4,5,3,2,6]=>([(0,5),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(6,2)],8)
[3,8,1,5,4,7,2,6]=>([(0,2),(0,5),(0,6),(1,3),(1,5),(1,6),(3,7),(5,4),(5,7),(6,4),(6,7)],8)
[3,6,1,5,4,8,7,2]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,1,5,4,7,2,8]=>([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,7),(3,4),(5,7),(6,7),(7,4)],8)
[6,7,3,1,4,2,5,8]=>([(0,5),(1,3),(2,4),(2,5),(3,7),(4,6),(5,6),(6,7)],8)
[6,8,3,1,4,2,7,5]=>([(0,5),(1,3),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,1,4,6,2,5]=>([(0,6),(1,3),(2,4),(2,6),(4,7),(6,5),(6,7)],8)
[7,8,4,2,6,5,1,3]=>([(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4)],8)
[6,5,8,7,3,4,2,1]=>([(2,6),(2,7),(3,6),(3,7),(4,5)],8)
[7,8,3,1,4,6,5,2]=>([(0,7),(1,5),(2,6),(2,7),(7,3),(7,4)],8)
[6,7,3,1,4,5,2,8]=>([(0,6),(1,3),(2,4),(2,6),(3,7),(4,7),(5,7),(6,5)],8)
[3,7,1,5,4,2,6,8]=>([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,7),(3,4),(5,7),(6,7),(7,4)],8)
[3,8,1,5,4,2,7,6]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,1,4,7,3,6,2]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(3,7),(4,6),(4,7)],8)
[6,8,4,2,7,5,3,1]=>([(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7)],8)
[6,4,7,2,8,5,3,1]=>([(1,5),(2,5),(2,6),(3,4),(3,6),(3,7),(5,7)],8)
[6,3,7,1,4,8,5,2]=>([(0,5),(1,5),(1,7),(2,4),(2,7),(5,6),(7,3),(7,6)],8)
[6,8,3,1,4,7,5,2]=>([(0,7),(1,3),(1,7),(2,4),(2,6),(7,5),(7,6)],8)
[3,7,1,5,4,8,6,2]=>([(0,2),(0,5),(0,6),(1,3),(1,5),(1,6),(3,7),(5,4),(5,7),(6,4),(6,7)],8)
[3,4,1,2,8,5,7,6]=>([(0,5),(1,4),(4,6),(4,7),(5,6),(5,7),(7,2),(7,3)],8)
[3,4,1,2,5,8,7,6]=>([(0,6),(1,5),(5,7),(6,7),(7,2),(7,3),(7,4)],8)
[3,7,1,5,4,2,8,6]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,3,1,4,5,8,2]=>([(0,6),(1,4),(2,3),(2,6),(4,7),(5,7),(6,5)],8)
[7,3,8,1,4,5,2,6]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,7),(4,7),(6,3)],8)
[7,3,8,1,4,5,6,2]=>([(0,6),(1,6),(1,7),(2,3),(2,7),(4,5),(7,4)],8)
[6,8,3,1,4,5,2,7]=>([(0,6),(1,3),(1,7),(2,4),(2,6),(4,7),(5,7),(6,5)],8)
[3,8,1,5,4,2,6,7]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(4,7),(5,7),(6,7),(7,2)],8)
[8,7,6,3,5,2,1,4]=>([(3,7),(4,7),(5,6),(5,7)],8)
[8,7,4,6,3,2,1,5]=>([(2,7),(3,7),(4,7),(5,6),(5,7)],8)
[8,5,7,4,3,2,1,6]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7)],8)
[8,7,6,2,5,4,1,3]=>([(3,7),(4,5),(4,6),(4,7)],8)
[8,5,4,7,3,2,1,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,3,6,5,2,1,4]=>([(2,7),(3,7),(4,5),(4,6),(4,7)],8)
[6,5,8,4,3,2,1,7]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,7,6,3,2,1,5]=>([(1,7),(2,7),(3,7),(4,5),(4,6),(4,7)],8)
[5,8,7,4,3,2,1,6]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7)],8)
[5,8,6,2,3,4,7,1]=>([(1,6),(2,3),(2,5),(4,7),(5,7),(6,4)],8)
[4,5,2,7,3,1,8,6]=>([(0,6),(0,7),(1,4),(2,3),(2,5),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
[4,8,2,6,3,5,7,1]=>([(1,4),(1,5),(2,3),(2,5),(2,7),(4,7),(5,6),(7,6)],8)
[4,1,7,2,5,8,6,3]=>([(0,6),(0,7),(1,4),(1,6),(4,3),(4,7),(6,5),(7,2),(7,5)],8)
[7,8,2,1,5,6,4,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(7,3)],8)
[1,6,2,5,8,4,3,7]=>([(0,4),(0,5),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,3)],8)
[7,3,1,6,8,5,2,4]=>([(0,6),(1,3),(1,4),(1,7),(2,4),(2,5),(2,7),(3,5),(7,6)],8)
[5,2,7,1,8,6,3,4]=>([(0,5),(0,6),(0,7),(1,4),(1,7),(2,4),(2,6),(2,7),(4,5),(6,3)],8)
[6,5,2,8,1,7,3,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(5,4)],8)
[2,8,3,5,1,7,4,6]=>([(0,6),(0,7),(1,2),(1,4),(3,5),(3,6),(4,3),(4,7),(7,5)],8)
[5,4,3,8,7,1,6,2]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7)],8)
[8,5,4,3,7,2,6,1]=>([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,7,4,2,6,5,1]=>([(2,6),(2,7),(3,4),(3,5),(5,6),(5,7)],8)
[2,8,6,5,1,7,4,3]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7)],8)
[6,3,2,8,4,1,7,5]=>([(0,5),(0,7),(1,6),(1,7),(2,4),(2,6),(3,4),(3,6),(4,5),(4,7)],8)
[2,8,3,4,1,7,5,6]=>([(0,6),(0,7),(1,3),(1,5),(4,6),(4,7),(5,4),(7,2)],8)
[5,4,2,8,3,1,7,6]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7)],8)
[2,8,4,3,1,7,6,5]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[2,8,5,3,1,7,6,4]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[2,8,6,4,1,7,5,3]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(3,7),(4,5),(4,7)],8)
[3,8,7,5,1,6,4,2]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(4,6)],8)
[8,3,7,5,2,6,4,1]=>([(2,6),(2,7),(3,4),(3,5),(3,6),(5,7)],8)
[8,4,7,6,2,5,3,1]=>([(2,6),(2,7),(3,4),(3,5),(3,7)],8)
[4,8,7,6,1,5,3,2]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7)],8)
[7,4,8,6,2,1,5,3]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7)],8)
[7,3,8,5,2,1,6,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(3,6),(4,7)],8)
[7,3,8,4,2,1,6,5]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7)],8)
[7,5,4,3,8,2,1,6]=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,8,4,1,2,6,5]=>([(0,4),(1,3),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[3,7,8,5,1,2,6,4]=>([(0,4),(1,3),(1,5),(1,7),(3,6),(4,6),(4,7),(5,2)],8)
[4,7,8,6,1,2,5,3]=>([(0,6),(1,4),(1,5),(1,7),(5,3),(6,2),(6,7)],8)
[8,7,4,6,3,5,2,1]=>([(4,7),(5,6),(5,7)],8)
[5,7,8,6,1,2,4,3]=>([(0,7),(1,5),(1,6),(6,4),(7,2),(7,3)],8)
[6,4,7,8,3,1,2,5]=>([(0,7),(1,6),(2,6),(2,7),(3,4),(4,7),(6,5)],8)
[7,3,4,8,2,1,5,6]=>([(0,7),(1,7),(2,6),(3,5),(5,6),(5,7),(7,4)],8)
[7,6,4,8,3,2,1,5]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8)
[7,5,8,6,2,1,4,3]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7)],8)
[6,5,8,7,3,1,4,2]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7)],8)
[2,4,8,3,1,5,7,6]=>([(0,7),(1,3),(1,6),(3,7),(6,2),(6,7),(7,4),(7,5)],8)
[6,3,2,4,8,1,5,7]=>([(0,4),(1,4),(2,7),(3,5),(3,6),(4,6),(4,7),(7,5)],8)
[2,3,8,4,1,6,7,5]=>([(0,6),(0,7),(1,5),(4,6),(4,7),(5,3),(5,4),(7,2)],8)
[2,3,8,5,1,6,7,4]=>([(0,6),(0,7),(1,5),(4,7),(5,3),(5,4),(5,6),(7,2)],8)
[6,4,8,7,3,1,5,2]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,7)],8)
[8,6,4,7,3,2,5,1]=>([(2,7),(3,7),(4,6),(5,6),(5,7)],8)
[8,3,4,7,2,5,6,1]=>([(2,7),(3,4),(4,6),(4,7),(7,5)],8)
[3,4,8,7,1,5,6,2]=>([(0,6),(1,5),(1,7),(6,2),(6,3),(6,7),(7,4)],8)
[2,4,8,6,1,5,7,3]=>([(0,6),(0,7),(1,4),(1,7),(3,5),(4,2),(4,3),(4,6),(6,5)],8)
[2,5,8,6,1,4,7,3]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(3,5),(4,2),(4,3),(7,5)],8)
[8,3,5,7,2,4,6,1]=>([(2,6),(3,4),(3,6),(4,5),(4,7),(6,7)],8)
[8,4,6,7,2,3,5,1]=>([(2,5),(3,4),(3,7),(4,6),(5,7)],8)
[4,6,8,7,1,3,5,2]=>([(0,6),(0,7),(1,4),(1,5),(5,7),(6,2),(6,3)],8)
[2,6,8,5,1,3,7,4]=>([(0,6),(1,3),(1,5),(1,6),(3,7),(5,2),(5,7),(6,4),(6,7)],8)
[2,6,8,4,1,3,7,5]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(3,7),(4,2),(4,7),(6,5),(6,7)],8)
[2,5,8,3,1,4,7,6]=>([(0,7),(1,3),(1,4),(3,7),(4,2),(4,5),(4,6),(7,5),(7,6)],8)
[5,6,8,7,1,3,4,2]=>([(0,7),(1,5),(1,6),(6,4),(7,2),(7,3)],8)
[7,4,6,8,2,1,3,5]=>([(0,7),(1,5),(2,5),(3,4),(3,6),(4,7),(5,6)],8)
[2,3,5,4,1,8,6,7]=>([(0,6),(0,7),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3),(5,4),(7,2)],8)
[2,3,6,4,8,1,5,7]=>([(0,7),(1,4),(2,5),(2,7),(3,5),(3,6),(4,2),(4,3),(7,6)],8)
[1,8,4,6,3,5,2,7]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(3,7),(4,6),(5,1),(5,6),(6,7)],8)
[5,4,8,6,2,1,3,7]=>([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,7),(6,7)],8)
[2,3,6,8,1,5,4,7]=>([(0,5),(0,6),(1,4),(3,2),(3,7),(4,3),(4,5),(4,6),(5,7),(6,7)],8)
[2,5,6,1,4,7,8,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(3,7),(4,3),(6,7),(7,2)],8)
[2,5,6,1,4,7,3,8]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(3,5),(5,4),(6,5),(7,4)],8)
[7,3,5,1,6,8,4,2]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,7),(4,7),(7,6)],8)
[2,7,6,1,8,5,4,3]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7)],8)
[2,7,6,8,1,4,5,3]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(3,5),(4,5),(7,2)],8)
[1,8,7,6,3,2,5,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,7,6,3,2,4,5]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7),(7,1)],8)
[5,7,8,6,2,3,4,1]=>([(1,7),(2,5),(2,6),(6,4),(7,3)],8)
[2,7,6,1,8,5,3,4]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(6,2)],8)
[6,3,5,1,7,2,4,8]=>([(0,7),(1,4),(1,6),(2,3),(2,7),(3,6),(4,7),(6,5),(7,5)],8)
[2,3,4,7,6,1,5,8]=>([(0,6),(1,4),(2,7),(3,7),(4,5),(5,2),(5,3),(5,6),(6,7)],8)
[7,3,5,8,4,1,2,6]=>([(0,6),(1,4),(2,3),(2,5),(3,7),(4,7),(5,6),(5,7)],8)
[1,8,4,5,2,7,3,6]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(2,7),(4,2),(5,1),(5,7)],8)
[1,8,4,5,2,7,6,3]=>([(0,3),(0,4),(0,5),(2,6),(2,7),(4,2),(5,1),(5,6),(5,7)],8)
[7,3,5,8,4,1,6,2]=>([(0,6),(1,3),(1,7),(2,4),(2,5),(4,7),(5,6),(5,7)],8)
[2,7,6,4,8,5,1,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,2),(5,7)],8)
[7,3,5,4,6,8,1,2]=>([(0,6),(1,3),(2,4),(2,5),(4,7),(5,7),(7,6)],8)
[6,3,5,4,7,1,8,2]=>([(0,7),(1,3),(1,6),(2,4),(2,5),(4,7),(5,7),(7,6)],8)
[6,3,5,4,7,1,2,8]=>([(0,7),(1,5),(2,3),(2,4),(3,7),(4,7),(5,6),(7,6)],8)
[3,4,1,5,6,8,7,2]=>([(0,5),(1,4),(1,7),(5,7),(6,2),(6,3),(7,6)],8)
[3,7,1,6,8,5,2,4]=>([(0,3),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(3,4),(7,5)],8)
[2,3,1,8,6,4,7,5]=>([(0,3),(1,5),(1,6),(1,7),(3,5),(3,6),(3,7),(6,4),(7,2),(7,4)],8)
[1,8,4,3,6,2,5,7]=>([(0,1),(0,2),(0,3),(0,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[2,3,1,8,6,4,5,7]=>([(0,3),(1,4),(1,5),(1,7),(2,6),(3,4),(3,5),(3,7),(5,2),(7,6)],8)
[3,7,1,6,8,5,4,2]=>([(0,3),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(3,4),(7,4)],8)
[6,3,5,4,7,2,1,8]=>([(0,7),(1,6),(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[7,3,5,4,6,8,2,1]=>([(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[2,7,6,4,8,5,3,1]=>([(1,3),(1,4),(1,5),(1,6),(4,7),(5,7),(6,2),(6,7)],8)
[1,8,4,5,2,6,3,7]=>([(0,3),(0,4),(0,5),(1,7),(2,6),(4,2),(5,1),(5,6),(6,7)],8)
[6,4,8,5,3,1,2,7]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(4,7),(5,7)],8)
[7,3,5,8,4,6,2,1]=>([(2,6),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[2,3,4,6,5,8,1,7]=>([(0,7),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,2),(5,3)],8)
[2,3,4,7,5,1,8,6]=>([(0,6),(0,7),(1,4),(2,7),(3,6),(3,7),(4,5),(5,2),(5,3)],8)
[2,3,4,7,5,1,6,8]=>([(0,7),(1,4),(2,7),(3,6),(4,5),(5,2),(5,3),(7,6)],8)
[2,3,4,7,1,6,5,8]=>([(0,5),(0,6),(1,3),(2,7),(3,4),(4,2),(4,5),(4,6),(5,7),(6,7)],8)
[2,3,4,7,1,6,8,5]=>([(0,6),(0,7),(1,3),(2,5),(3,4),(4,2),(4,6),(4,7),(7,5)],8)
[2,3,4,6,1,8,7,5]=>([(0,5),(0,6),(0,7),(1,3),(2,6),(2,7),(3,4),(4,2),(4,5)],8)
[6,3,5,8,4,2,7,1]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[7,4,8,5,3,2,1,6]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7)],8)
[1,8,4,5,2,3,6,7]=>([(0,4),(0,5),(0,6),(1,7),(2,7),(5,2),(6,1),(7,3)],8)
[7,4,8,5,3,2,6,1]=>([(1,7),(2,7),(3,6),(4,5),(4,6),(5,7)],8)
[6,3,5,8,4,2,1,7]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[5,2,4,6,8,3,7,1]=>([(1,7),(2,4),(2,5),(4,7),(5,6),(7,3),(7,6)],8)
[1,5,7,4,6,3,2,8]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,6),(6,7)],8)
[5,2,8,4,6,3,7,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,6),(6,7)],8)
[3,8,5,4,6,7,2,1]=>([(2,3),(2,4),(2,5),(4,7),(5,7),(7,6)],8)
[6,8,3,4,5,7,2,1]=>([(2,5),(3,4),(3,7),(5,6),(6,7)],8)
[2,5,7,4,6,3,8,1]=>([(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(5,2),(5,6),(6,7)],8)
[5,4,1,7,8,3,2,6]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(3,7),(4,7),(6,5)],8)
[5,4,2,7,8,3,6,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,7),(6,5)],8)
[5,1,4,6,8,3,2,7]=>([(0,6),(1,2),(1,3),(1,4),(2,7),(3,7),(4,6),(6,5),(6,7)],8)
[5,1,8,4,6,3,2,7]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(6,7)],8)
[8,1,6,4,5,3,2,7]=>([(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2)],8)
[8,1,3,5,4,6,2,7]=>([(1,2),(1,5),(2,7),(3,6),(4,6),(5,3),(5,4),(6,7)],8)
[8,1,6,2,4,3,5,7]=>([(1,2),(1,5),(2,7),(3,6),(4,6),(5,3),(5,4),(6,7)],8)
[8,7,1,2,4,3,5,6]=>([(2,6),(3,7),(4,7),(6,3),(6,4),(7,5)],8)
[1,7,6,2,4,3,5,8]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(6,7)],8)
[8,7,3,2,4,6,5,1]=>([(3,7),(4,7),(7,5),(7,6)],8)
[8,2,6,3,4,5,7,1]=>([(2,4),(2,6),(3,7),(4,7),(5,3),(6,5)],8)
[1,7,6,3,4,5,2,8]=>([(0,2),(0,3),(0,4),(0,6),(1,7),(2,7),(3,7),(4,7),(5,1),(6,5)],8)
[1,7,2,5,4,3,6,8]=>([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,3),(7,6)],8)
[8,7,2,4,5,3,6,1]=>([(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,8,2,4,7,3,6,1]=>([(1,3),(1,6),(1,7),(2,4),(2,5),(4,7),(5,6),(5,7)],8)
[6,8,3,2,4,7,5,1]=>([(1,7),(2,7),(3,5),(3,6),(7,4),(7,6)],8)
[8,7,1,3,4,5,2,6]=>([(2,4),(2,6),(3,7),(4,7),(5,3),(6,5)],8)
[8,1,6,3,4,5,2,7]=>([(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(5,2),(6,5)],8)
[8,1,2,5,4,3,6,7]=>([(1,6),(2,7),(3,7),(4,7),(6,2),(6,3),(6,4),(7,5)],8)
[3,4,8,7,5,2,6,1]=>([(1,7),(2,6),(5,7),(6,3),(6,4),(6,5)],8)
[3,2,8,6,1,5,4,7]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[8,6,1,2,4,3,5,7]=>([(1,3),(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[8,7,3,6,4,2,5,1]=>([(3,7),(4,5),(4,6),(6,7)],8)
[3,8,7,2,5,4,6,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(5,7),(6,7)],8)
[8,7,2,4,5,6,3,1]=>([(3,4),(3,5),(5,6),(6,7)],8)
[5,3,6,2,4,8,7,1]=>([(1,5),(2,4),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,2,8,6,1,4,7]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,7),(3,5),(3,6),(6,4),(7,4)],8)
[3,7,2,5,1,4,8,6]=>([(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(4,7),(6,5),(6,7)],8)
[5,1,8,6,2,3,4,7]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,5),(3,2),(4,3),(7,5)],8)
[2,5,4,1,8,6,3,7]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(7,5)],8)
[3,7,6,1,8,2,5,4]=>([(0,4),(0,7),(1,2),(1,3),(1,5),(1,6),(2,7),(3,7),(4,5),(4,6)],8)
[7,6,3,1,8,2,4,5]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,7),(4,6),(6,5)],8)
[8,2,3,6,1,4,7,5]=>([(1,7),(2,4),(4,5),(4,7),(5,6),(7,3),(7,6)],8)
[1,8,2,6,3,4,7,5]=>([(0,3),(0,6),(2,7),(4,5),(5,1),(5,7),(6,2),(6,4)],8)
[8,1,3,6,4,7,2,5]=>([(1,3),(1,5),(2,6),(3,7),(4,6),(4,7),(5,2),(5,4)],8)
[7,1,3,6,4,8,2,5]=>([(0,7),(1,3),(1,5),(2,7),(3,6),(4,6),(4,7),(5,2),(5,4)],8)
[8,2,1,3,5,7,4,6]=>([(1,6),(2,6),(3,7),(4,5),(4,7),(6,3),(6,4)],8)
[8,2,6,3,1,4,7,5]=>([(1,7),(2,4),(2,5),(4,7),(5,6),(7,3),(7,6)],8)
[7,5,4,1,3,8,2,6]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[2,7,5,8,3,4,1,6]=>([(0,7),(1,3),(1,4),(1,5),(2,7),(3,6),(4,6),(4,7),(5,2)],8)
[7,3,8,5,4,1,2,6]=>([(0,6),(1,5),(2,3),(2,4),(2,6),(3,7),(4,7),(5,7)],8)
[7,2,3,6,1,4,8,5]=>([(0,7),(1,6),(2,3),(3,5),(3,6),(5,7),(6,4),(6,7)],8)
[1,3,7,2,5,8,4,6]=>([(0,2),(0,3),(1,5),(2,6),(2,7),(3,1),(3,6),(3,7),(6,4),(7,4),(7,5)],8)
[1,7,2,3,5,8,4,6]=>([(0,3),(0,4),(1,6),(2,6),(2,7),(3,7),(4,5),(5,1),(5,2)],8)
[7,4,8,1,3,6,2,5]=>([(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(3,7),(4,6),(4,7)],8)
[8,1,2,3,5,7,4,6]=>([(1,4),(3,7),(4,6),(5,2),(5,7),(6,3),(6,5)],8)
[7,1,2,3,5,8,4,6]=>([(0,7),(1,4),(2,6),(3,6),(3,7),(4,5),(5,2),(5,3)],8)
[8,6,1,4,7,3,2,5]=>([(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(5,7)],8)
[2,6,3,7,1,4,8,5]=>([(0,7),(1,3),(1,4),(3,5),(4,5),(4,7),(5,6),(7,2),(7,6)],8)
[2,6,3,8,1,4,7,5]=>([(0,7),(1,3),(1,4),(3,5),(3,7),(4,5),(4,6),(7,2),(7,6)],8)
[7,5,4,8,1,3,2,6]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)
[8,5,4,7,1,3,2,6]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)
[2,3,1,8,5,4,6,7]=>([(0,3),(1,4),(1,6),(1,7),(3,4),(3,6),(3,7),(5,2),(6,5),(7,5)],8)
[8,6,5,1,3,4,2,7]=>([(1,7),(2,7),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,1,7,6,3,4,2]=>([(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(4,5)],8)
[3,4,7,6,1,8,5,2]=>([(0,5),(1,4),(1,6),(1,7),(2,7),(3,7),(5,2),(5,3),(5,6)],8)
[3,5,2,6,7,1,8,4]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,7),(3,6),(4,5),(6,4)],8)
[3,2,8,4,7,5,1,6]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(4,7),(6,3),(6,4)],8)
[8,4,7,5,1,3,2,6]=>([(1,4),(1,5),(2,3),(2,6),(4,7),(5,7),(6,7)],8)
[3,8,1,6,5,2,7,4]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,2,8,3,4,7,5]=>([(0,6),(0,7),(1,5),(3,4),(4,2),(4,6),(5,3),(5,7)],8)
[6,8,3,1,7,2,4,5]=>([(0,6),(0,7),(1,3),(1,7),(2,4),(2,7),(4,6),(6,5)],8)
[3,7,2,5,6,1,8,4]=>([(0,6),(0,7),(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(4,7),(5,4)],8)
[6,8,4,2,5,1,7,3]=>([(0,6),(1,5),(1,7),(2,5),(2,6),(3,4),(3,7),(6,7)],8)
[2,7,5,3,8,4,1,6]=>([(0,7),(1,3),(1,4),(1,5),(2,7),(3,6),(4,6),(4,7),(5,2),(5,6)],8)
[8,3,1,4,7,2,6,5]=>([(1,5),(2,4),(2,5),(4,6),(4,7),(5,3),(5,6),(5,7)],8)
[8,3,2,1,5,7,4,6]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4),(7,5)],8)
[2,8,3,6,4,7,1,5]=>([(0,7),(1,2),(1,5),(3,6),(4,6),(4,7),(5,3),(5,4)],8)
[7,3,6,4,8,1,2,5]=>([(0,7),(1,4),(2,3),(2,5),(3,7),(4,6),(5,6),(5,7)],8)
[8,3,6,4,7,1,2,5]=>([(1,4),(2,3),(2,5),(3,6),(4,7),(5,6),(5,7)],8)
[1,2,8,3,5,7,4,6]=>([(0,6),(3,7),(4,2),(4,7),(5,3),(5,4),(6,1),(6,5)],8)
[1,8,3,2,5,7,4,6]=>([(0,2),(0,3),(0,4),(3,5),(3,7),(4,5),(4,7),(5,6),(7,1),(7,6)],8)
[6,5,1,7,4,2,8,3]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(4,7),(6,7)],8)
[7,3,6,4,8,2,1,5]=>([(0,7),(1,6),(2,6),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[4,6,1,7,3,5,2,8]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(2,6),(3,7),(4,5),(5,7),(6,7)],8)
[5,6,1,7,3,4,2,8]=>([(0,4),(1,3),(1,5),(1,6),(2,7),(3,7),(4,6),(5,2),(6,7)],8)
[6,1,7,3,4,2,8,5]=>([(0,6),(1,3),(1,4),(1,6),(2,5),(2,7),(3,5),(3,7),(4,2),(6,7)],8)
[7,3,8,1,6,5,2,4]=>([(0,7),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,6)],8)
[8,3,7,1,6,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(4,7)],8)
[5,1,7,4,2,8,6,3]=>([(0,5),(0,7),(1,3),(1,4),(1,5),(3,6),(3,7),(4,2),(4,6),(4,7),(5,6)],8)
[2,8,1,7,6,5,3,4]=>([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8)
[4,2,8,6,5,1,7,3]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[6,4,2,8,5,1,7,3]=>([(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(5,7)],8)
[8,6,4,7,1,5,2,3]=>([(1,6),(2,6),(2,7),(3,4),(3,7),(4,5)],8)
[7,6,4,8,1,5,2,3]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5)],8)
[5,1,6,4,2,3,8,7]=>([(0,5),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,2),(5,6),(5,7)],8)
[4,2,3,8,7,5,1,6]=>([(0,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[3,8,7,1,6,5,2,4]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(4,5)],8)
[2,4,3,8,1,6,7,5]=>([(0,6),(0,7),(1,3),(1,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,2)],8)
[2,4,3,7,1,6,8,5]=>([(0,6),(0,7),(1,2),(1,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4),(7,4)],8)
[4,2,3,7,8,5,1,6]=>([(0,5),(1,6),(1,7),(2,4),(4,6),(4,7),(6,5),(7,3)],8)
[5,1,6,4,2,3,7,8]=>([(0,6),(1,3),(1,5),(1,6),(2,7),(3,7),(5,2),(6,7),(7,4)],8)
[6,4,7,8,1,5,2,3]=>([(0,7),(1,6),(1,7),(2,4),(2,6),(4,5),(7,3)],8)
[8,7,4,6,1,5,2,3]=>([(2,4),(2,7),(3,5),(3,7),(5,6)],8)
[6,5,7,8,1,4,2,3]=>([(0,7),(1,7),(2,4),(2,6),(6,3),(7,5)],8)
[4,7,8,6,1,5,2,3]=>([(0,6),(0,7),(1,4),(1,5),(1,7),(5,3),(6,2)],8)
[3,2,4,7,8,1,5,6]=>([(0,7),(1,6),(2,6),(4,5),(6,4),(6,7),(7,3)],8)
[3,2,4,8,7,1,5,6]=>([(0,7),(1,7),(2,6),(6,5),(7,3),(7,4),(7,6)],8)
[4,8,7,6,1,5,2,3]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(6,2)],8)
[5,8,7,6,1,4,2,3]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(7,2)],8)
[8,6,5,7,1,4,2,3]=>([(1,7),(2,7),(3,4),(3,5),(5,6)],8)
[5,1,6,7,4,2,3,8]=>([(0,6),(1,3),(1,5),(1,6),(2,7),(3,7),(4,7),(5,2),(6,4)],8)
[6,7,4,8,1,5,2,3]=>([(0,6),(0,7),(1,3),(2,4),(2,6),(3,7),(4,5)],8)
[8,4,7,6,1,5,2,3]=>([(1,6),(1,7),(2,4),(2,5),(2,7),(6,3)],8)
[8,3,2,4,7,1,5,6]=>([(1,7),(2,6),(3,6),(6,4),(6,7),(7,5)],8)
[7,3,2,4,8,1,5,6]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(5,7),(7,4)],8)
[2,5,3,7,1,6,4,8]=>([(0,4),(0,7),(1,2),(1,3),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(7,6)],8)
[8,4,6,7,1,5,2,3]=>([(1,6),(1,7),(2,5),(2,7),(5,3),(6,4)],8)
[7,4,6,8,1,5,2,3]=>([(0,7),(1,3),(1,6),(2,4),(2,6),(3,7),(4,5)],8)
[5,1,6,8,4,2,3,7]=>([(0,6),(1,3),(1,5),(1,6),(2,7),(3,7),(5,2),(6,4),(6,7)],8)
[4,2,3,7,5,1,6,8]=>([(0,3),(1,5),(2,6),(2,7),(3,6),(3,7),(5,4),(6,5),(7,4)],8)
[3,7,5,8,1,6,2,4]=>([(0,4),(0,7),(1,2),(1,3),(1,6),(2,5),(3,5),(3,7),(4,6)],8)
[2,4,3,7,1,6,5,8]=>([(0,2),(0,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(6,5),(7,5)],8)
[2,4,7,1,5,8,6,3]=>([(0,6),(0,7),(1,4),(1,6),(3,5),(4,3),(4,7),(7,2),(7,5)],8)
[3,2,4,7,6,1,5,8]=>([(0,6),(1,6),(2,5),(3,7),(4,7),(5,7),(6,3),(6,4),(6,5)],8)
[4,7,6,8,1,5,2,3]=>([(0,5),(0,7),(1,3),(1,4),(1,7),(3,6),(4,6),(5,2)],8)
[8,5,6,7,1,4,2,3]=>([(1,7),(2,5),(2,6),(6,4),(7,3)],8)
[8,6,7,5,1,4,2,3]=>([(2,5),(3,4),(3,6),(6,7)],8)
[7,6,8,5,1,4,2,3]=>([(1,7),(2,7),(3,4),(3,5),(5,6)],8)
[6,8,7,5,1,4,2,3]=>([(1,4),(1,5),(2,6),(2,7),(7,3)],8)
[5,6,8,7,1,4,2,3]=>([(0,7),(1,5),(1,6),(6,4),(7,2),(7,3)],8)
[4,6,8,7,1,5,2,3]=>([(0,6),(0,7),(1,5),(1,7),(5,4),(6,2),(6,3)],8)
[2,4,6,7,1,5,8,3]=>([(0,6),(0,7),(1,4),(1,7),(2,5),(3,2),(4,3),(4,6),(6,5)],8)
[3,2,4,6,1,5,7,8]=>([(0,6),(1,6),(2,5),(3,7),(5,7),(6,3),(6,5),(7,4)],8)
[6,7,8,5,1,4,2,3]=>([(1,7),(2,5),(2,6),(6,4),(7,3)],8)
[7,8,6,5,1,4,2,3]=>([(2,5),(3,4),(3,6),(6,7)],8)
[3,1,7,5,4,2,8,6]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,8,5,4,6,3,7]=>([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(4,2),(5,4),(6,4),(7,2)],8)
[4,1,8,5,2,3,6,7]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(3,7),(4,3),(6,7),(7,2)],8)
[5,4,1,3,6,7,2,8]=>([(0,7),(1,7),(2,3),(2,4),(3,7),(4,6),(5,6),(7,5)],8)
[8,4,1,2,6,3,7,5]=>([(1,5),(1,7),(2,3),(3,4),(3,7),(4,5),(4,6),(7,6)],8)
[8,2,7,1,5,3,4,6]=>([(1,5),(1,6),(2,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)
[3,2,7,1,5,8,4,6]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(6,4),(7,4),(7,5)],8)
[6,3,7,1,5,4,2,8]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[7,3,8,1,5,4,2,6]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(5,7),(6,7)],8)
[7,1,5,3,8,4,2,6]=>([(0,7),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(4,7),(5,2),(5,7)],8)
[4,5,1,3,6,8,2,7]=>([(0,5),(1,3),(1,4),(3,7),(4,6),(5,7),(7,2),(7,6)],8)
[3,6,8,1,5,4,2,7]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,7),(4,2),(4,7),(5,7),(6,7)],8)
[6,8,3,1,5,4,2,7]=>([(0,5),(0,6),(1,3),(1,7),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[7,6,3,1,5,4,2,8]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[3,6,2,1,5,8,4,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,7),(5,7),(6,4),(6,7)],8)
[8,6,2,1,5,3,4,7]=>([(1,7),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,4)],8)
[4,8,2,1,7,5,3,6]=>([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(4,5),(7,5)],8)
[2,3,8,1,5,7,4,6]=>([(0,6),(0,7),(1,4),(4,3),(4,6),(4,7),(6,5),(7,2),(7,5)],8)
[7,1,3,2,8,6,4,5]=>([(0,7),(1,3),(1,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,2)],8)
[7,1,6,2,8,3,4,5]=>([(0,7),(1,3),(1,6),(3,7),(4,5),(5,2),(6,4),(6,7)],8)
[4,7,1,2,6,3,8,5]=>([(0,4),(1,3),(1,5),(1,6),(2,5),(2,7),(3,7),(4,2),(4,6),(6,7)],8)
[2,7,8,1,5,3,4,6]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(3,5),(4,2),(6,5),(7,3)],8)
[6,7,2,1,5,3,4,8]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,7),(4,7),(5,7),(6,3)],8)
[4,7,2,1,8,5,3,6]=>([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(3,7),(4,5),(6,5)],8)
[8,7,2,1,4,5,3,6]=>([(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,4)],8)
[8,7,5,6,1,4,3,2]=>([(2,7),(3,4),(3,5),(3,6)],8)
[5,7,8,6,1,4,3,2]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(7,2)],8)
[2,7,4,1,6,5,3,8]=>([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[3,7,1,4,5,6,8,2]=>([(0,3),(0,7),(1,4),(1,7),(2,6),(4,6),(5,2),(7,5)],8)
[7,1,6,4,5,8,3,2]=>([(0,7),(1,2),(1,3),(1,5),(1,6),(4,7),(5,7),(6,4)],8)
[3,5,1,4,7,6,8,2]=>([(0,3),(0,7),(1,2),(1,7),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)
[2,6,4,1,7,5,3,8]=>([(0,4),(0,5),(0,7),(1,2),(1,3),(1,4),(2,7),(3,5),(3,7),(4,6),(5,6),(7,6)],8)
[5,6,8,7,1,4,3,2]=>([(0,7),(1,4),(1,5),(1,6),(7,2),(7,3)],8)
[6,8,5,7,1,4,3,2]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5)],8)
[8,6,5,7,1,4,3,2]=>([(1,7),(2,7),(3,4),(3,5),(3,6)],8)
[8,5,7,6,1,4,3,2]=>([(1,6),(1,7),(2,3),(2,4),(2,5)],8)
[6,5,7,8,1,4,3,2]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(7,6)],8)
[7,2,3,1,5,6,4,8]=>([(0,7),(1,5),(1,6),(2,4),(3,7),(4,5),(4,6),(5,7),(6,3)],8)
[4,2,8,1,6,5,3,7]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[6,2,4,1,8,5,3,7]=>([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(3,5),(3,7),(4,6),(5,6)],8)
[8,3,1,4,5,6,7,2]=>([(1,7),(2,4),(2,7),(5,3),(6,5),(7,6)],8)
[5,3,1,4,8,6,7,2]=>([(0,6),(0,7),(1,5),(2,4),(2,5),(5,6),(5,7),(7,3)],8)
[7,5,1,6,3,4,8,2]=>([(0,7),(1,6),(2,3),(2,4),(2,6),(4,5),(5,7),(6,7)],8)
[7,1,5,8,4,3,6,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(3,7),(4,7),(5,6),(5,7)],8)
[5,8,1,6,4,3,7,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(3,7),(4,7),(6,7)],8)
[5,3,1,8,4,6,7,2]=>([(0,6),(0,7),(1,5),(1,7),(2,4),(2,5),(2,7),(5,6),(6,3)],8)
[8,3,1,5,4,6,7,2]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(5,7),(6,7),(7,3)],8)
[8,2,6,1,4,5,3,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[6,2,8,1,4,5,3,7]=>([(0,5),(0,6),(1,4),(1,7),(2,4),(2,5),(2,6),(3,7),(5,7),(6,3)],8)
[7,2,6,1,5,3,4,8]=>([(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[2,8,6,1,5,3,4,7]=>([(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,3)],8)
[4,2,1,5,6,3,8,7]=>([(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(7,3)],8)
[7,1,2,5,8,3,4,6]=>([(0,7),(1,5),(2,6),(2,7),(3,6),(4,3),(5,2),(5,4)],8)
[7,1,4,5,6,8,3,2]=>([(0,7),(1,2),(1,3),(1,6),(4,7),(5,4),(6,5)],8)
[8,5,6,7,1,4,3,2]=>([(1,7),(2,4),(2,5),(2,6),(7,3)],8)
[7,6,8,5,1,4,3,2]=>([(1,7),(2,7),(3,4),(3,5),(3,6)],8)
[6,8,7,5,1,4,3,2]=>([(1,6),(1,7),(2,3),(2,4),(2,5)],8)
[2,6,7,1,4,5,3,8]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(3,7),(4,3),(5,7),(6,2)],8)
[3,5,1,7,4,6,8,2]=>([(0,3),(0,7),(1,2),(1,6),(1,7),(3,5),(3,6),(5,4),(6,4),(7,5)],8)
[7,1,5,6,4,8,3,2]=>([(0,7),(1,2),(1,3),(1,5),(1,6),(4,7),(5,7),(6,4)],8)
[7,1,6,5,4,8,3,2]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(4,7),(5,7),(6,7)],8)
[2,7,6,1,4,5,3,8]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2)],8)
[5,7,6,8,1,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(5,7),(6,7)],8)
[7,8,6,5,1,4,3,2]=>([(2,7),(3,4),(3,5),(3,6)],8)
[4,3,1,6,5,8,7,2]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(6,4),(6,5),(7,4),(7,5)],8)
[5,3,1,2,4,8,7,6]=>([(0,3),(1,7),(2,4),(2,5),(2,6),(3,7),(7,4),(7,5),(7,6)],8)
[5,3,6,2,1,8,7,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(3,4),(3,5),(4,6),(4,7)],8)
[5,3,7,2,1,4,6,8]=>([(0,7),(1,7),(2,4),(2,7),(3,4),(3,5),(4,6),(5,6),(7,5)],8)
[5,3,7,2,8,4,1,6]=>([(0,7),(1,5),(1,6),(2,4),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,2,4,5,8,3,1,6]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,7),(5,6),(5,7)],8)
[7,2,4,5,1,3,6,8]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,7),(5,7),(7,6)],8)
[6,2,4,5,1,8,7,3]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(3,4),(4,6),(4,7)],8)
[3,1,4,5,2,8,7,6]=>([(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(7,2)],8)
[1,6,4,5,2,8,7,3]=>([(0,3),(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,2),(5,1),(5,6),(5,7)],8)
[3,7,4,5,1,2,6,8]=>([(0,4),(1,2),(1,5),(2,7),(3,6),(4,6),(5,3),(6,7)],8)
[3,7,4,5,8,2,1,6]=>([(0,7),(1,7),(2,3),(2,4),(3,5),(4,6),(5,6),(5,7)],8)
[1,7,4,2,6,3,5,8]=>([(0,2),(0,3),(0,4),(1,5),(2,7),(3,5),(3,6),(4,1),(4,6),(5,7),(6,7)],8)
[8,7,4,5,2,1,6,3]=>([(2,6),(2,7),(3,6),(3,7),(4,5),(5,7)],8)
[6,3,7,1,8,4,2,5]=>([(0,6),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(6,5),(7,4)],8)
[5,7,4,1,6,3,2,8]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,7,4,8,6,3,2,5]=>([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,1),(5,6),(5,7)],8)
[5,7,4,8,6,3,1,2]=>([(1,6),(1,7),(2,4),(3,5),(3,6),(5,7)],8)
[4,8,3,5,6,7,1,2]=>([(0,7),(1,4),(2,5),(2,7),(6,3),(7,6)],8)
[1,8,3,5,6,7,2,4]=>([(0,2),(0,3),(0,6),(3,7),(4,5),(5,1),(6,4),(6,7)],8)
[4,8,1,5,6,7,2,3]=>([(0,6),(0,7),(1,4),(1,7),(5,3),(6,2),(7,5)],8)
[4,1,3,5,6,7,2,8]=>([(0,7),(1,2),(1,4),(2,7),(3,6),(4,6),(5,3),(7,5)],8)
[5,8,4,3,6,1,2,7]=>([(0,7),(1,7),(2,5),(3,4),(3,7),(5,6),(7,6)],8)
[5,3,8,4,1,7,2,6]=>([(0,5),(0,6),(0,7),(1,3),(1,6),(2,4),(2,5),(3,7),(4,6),(4,7)],8)
[1,5,8,4,6,7,3,2]=>([(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,7),(7,2)],8)
[1,4,8,3,6,7,5,2]=>([(0,3),(0,4),(0,5),(4,6),(4,7),(5,2),(5,6),(5,7),(7,1)],8)
[4,3,8,2,1,7,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[3,8,4,2,6,1,5,7]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(4,6),(4,7),(6,5),(7,5)],8)
[1,8,2,5,6,7,4,3]=>([(0,4),(0,7),(5,6),(6,3),(7,1),(7,2),(7,5)],8)
[3,8,1,5,6,7,4,2]=>([(0,4),(0,6),(0,7),(1,3),(1,6),(1,7),(5,2),(7,5)],8)
[3,8,2,5,6,7,1,4]=>([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(4,5),(6,4)],8)
[8,2,1,5,6,7,4,3]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(7,3)],8)
[8,1,3,5,6,7,4,2]=>([(1,4),(1,7),(5,6),(6,3),(7,2),(7,5)],8)
[7,1,4,3,6,2,5,8]=>([(0,7),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,8,4,3,6,2,1,5]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5)],8)
[4,3,1,8,5,7,6,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(7,3),(7,4)],8)
[4,3,1,6,8,7,5,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(7,3),(7,4)],8)
[6,3,1,8,2,7,4,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(3,5),(3,7),(5,4)],8)
[6,3,5,8,2,7,1,4]=>([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,5),(4,7)],8)
[7,5,4,8,6,2,1,3]=>([(0,7),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[7,1,4,8,6,2,3,5]=>([(0,7),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6),(5,7)],8)
[7,5,4,1,6,2,3,8]=>([(0,7),(1,6),(2,6),(3,4),(3,6),(4,5),(5,7),(6,7)],8)
[7,6,4,5,8,1,3,2]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(6,7)],8)
[1,6,4,5,8,2,3,7]=>([(0,3),(0,4),(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,1),(5,2)],8)
[7,3,6,1,8,2,4,5]=>([(0,7),(1,4),(1,7),(2,3),(2,6),(3,7),(4,6),(6,5)],8)
[1,7,6,5,8,3,4,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(3,7),(4,7),(5,7),(6,1)],8)
[1,8,5,3,6,7,4,2]=>([(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,7),(7,2)],8)
[8,3,5,2,1,7,4,6]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(6,5)],8)
[8,4,1,5,6,7,3,2]=>([(1,7),(2,4),(2,5),(2,7),(6,3),(7,6)],8)
[8,4,2,5,6,7,1,3]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(7,4)],8)
[4,1,8,5,6,7,3,2]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(5,2),(7,5)],8)
[1,2,8,5,6,7,3,4]=>([(0,7),(4,2),(5,6),(6,3),(7,1),(7,4),(7,5)],8)
[4,2,1,5,6,7,3,8]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(4,6),(5,6),(7,3)],8)
[1,5,3,8,6,7,4,2]=>([(0,3),(0,4),(0,5),(4,6),(4,7),(5,2),(5,6),(5,7),(7,1)],8)
[1,4,5,8,6,7,3,2]=>([(0,3),(0,4),(0,6),(5,2),(6,7),(7,1),(7,5)],8)
[4,3,5,8,1,7,2,6]=>([(0,6),(1,6),(2,4),(2,5),(4,7),(6,3),(6,5),(6,7)],8)
[3,5,4,8,6,1,2,7]=>([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,7),(6,7)],8)
[1,4,8,5,6,7,2,3]=>([(0,6),(0,7),(4,5),(5,3),(6,1),(7,2),(7,4)],8)
[3,4,8,5,6,7,1,2]=>([(0,4),(1,7),(5,6),(6,3),(7,2),(7,5)],8)
[2,7,1,5,6,3,4,8]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,7),(3,7),(4,7),(5,4),(6,3)],8)
[2,7,1,4,3,6,5,8]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,7),(3,7),(4,7),(5,3),(5,4),(6,3),(6,4)],8)
[4,3,7,2,5,6,8,1]=>([(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,6),(7,4)],8)
[2,6,3,1,4,5,8,7]=>([(0,7),(1,2),(1,4),(2,7),(3,5),(3,6),(4,5),(4,6),(7,3)],8)
[3,7,1,4,2,6,8,5]=>([(0,3),(0,7),(1,2),(1,7),(2,5),(3,4),(3,6),(6,5),(7,4),(7,6)],8)
[3,7,1,5,6,2,8,4]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,7),(3,7),(4,5),(4,7),(6,2)],8)
[4,7,1,5,6,8,2,3]=>([(0,4),(0,7),(1,5),(1,7),(3,6),(4,6),(5,2),(7,3)],8)
[8,5,2,6,7,3,1,4]=>([(1,7),(2,6),(3,4),(3,6),(4,7),(6,5)],8)
[8,4,2,6,3,7,1,5]=>([(1,7),(2,5),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6)],8)
[8,4,2,3,5,7,1,6]=>([(1,7),(2,6),(3,4),(4,7),(7,5),(7,6)],8)
[4,7,3,2,5,6,1,8]=>([(0,7),(1,6),(2,6),(3,4),(3,6),(4,7),(5,7),(6,5)],8)
[5,3,4,6,2,8,1,7]=>([(0,6),(1,7),(2,5),(2,7),(3,4),(4,6),(6,5),(6,7)],8)
[5,3,7,4,2,8,1,6]=>([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6)],8)
[6,4,7,2,3,8,1,5]=>([(0,7),(1,5),(2,5),(2,7),(3,4),(4,6),(4,7),(5,6)],8)
[6,5,7,2,8,3,1,4]=>([(0,7),(1,5),(2,5),(3,4),(3,6),(4,7),(5,6)],8)
[5,3,7,2,4,8,6,1]=>([(1,5),(2,4),(2,6),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[2,6,5,1,8,3,4,7]=>([(0,5),(0,7),(1,2),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(5,4)],8)
[8,7,6,1,4,5,2,3]=>([(3,4),(3,5),(4,7),(5,6)],8)
[8,7,6,1,3,2,5,4]=>([(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,2,4,3,1,6,5]=>([(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,4,5,1,6,2,3]=>([(2,5),(3,4),(3,7),(4,6),(5,7)],8)
[8,5,6,4,1,7,2,3]=>([(1,7),(2,5),(3,4),(3,7),(4,6),(5,7)],8)
[8,5,6,3,1,2,7,4]=>([(1,6),(1,7),(2,4),(3,5),(4,7),(5,6),(5,7)],8)
[8,4,6,2,3,1,7,5]=>([(1,6),(1,7),(2,5),(3,4),(3,6),(4,7),(5,6),(5,7)],8)
[8,3,5,4,2,1,7,6]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,3,4,2,1,8,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(4,7),(5,6),(5,7)],8)
[6,7,4,2,3,1,8,5]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(3,5),(4,7),(5,6),(5,7)],8)
[6,7,5,3,1,2,8,4]=>([(0,7),(1,6),(1,7),(2,4),(3,5),(4,7),(5,6),(5,7)],8)
[6,7,5,4,1,8,2,3]=>([(0,7),(1,7),(2,5),(3,4),(3,7),(4,6),(5,7)],8)
[7,3,5,4,1,8,6,2]=>([(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,5,7,3,1,8,4]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(4,5),(5,7)],8)
[6,3,2,4,7,5,1,8]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(5,7),(6,4),(6,5)],8)
[4,2,1,6,3,7,5,8]=>([(0,5),(0,7),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4)],8)
[4,2,1,6,3,7,8,5]=>([(0,5),(0,7),(1,4),(1,7),(2,4),(2,7),(4,5),(4,6),(6,3),(7,6)],8)
[4,2,1,3,7,8,6,5]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(6,3),(7,4),(7,5),(7,6)],8)
[5,8,1,7,4,3,2,6]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7)],8)
[4,2,1,8,3,5,6,7]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(5,6),(6,3)],8)
[4,2,1,6,3,8,7,5]=>([(0,5),(0,7),(1,6),(1,7),(2,6),(2,7),(6,3),(6,4),(6,5),(7,3),(7,4)],8)
[7,3,4,2,6,8,1,5]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(6,5)],8)
[3,6,7,5,2,4,8,1]=>([(1,6),(2,3),(2,4),(2,6),(3,5),(4,7),(5,7),(6,7)],8)
[3,6,7,5,2,4,1,8]=>([(0,7),(1,6),(2,3),(2,4),(2,6),(3,5),(4,7),(5,7),(6,7)],8)
[4,2,1,7,3,6,5,8]=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[3,7,6,8,4,2,5,1]=>([(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6)],8)
[5,8,1,7,4,2,6,3]=>([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(3,7),(5,2),(5,7)],8)
[3,7,8,6,2,4,5,1]=>([(1,7),(2,4),(2,6),(2,7),(6,3),(7,5)],8)
[4,2,1,3,5,8,6,7]=>([(0,7),(1,6),(2,6),(4,5),(6,7),(7,3),(7,4)],8)
[4,8,1,7,3,6,5,2]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,7),(3,5),(3,6)],8)
[4,2,1,8,3,7,6,5]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(6,3),(6,4),(6,5)],8)
[2,6,1,5,4,7,8,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(5,7),(6,7),(7,2)],8)
[4,6,3,5,8,7,1,2]=>([(0,5),(1,3),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,6,1,4,8,7,2]=>([(0,3),(0,7),(1,4),(1,7),(2,5),(2,6),(4,2),(7,5),(7,6)],8)
[2,7,5,1,8,3,4,6]=>([(0,6),(0,7),(1,2),(1,4),(1,6),(2,7),(3,5),(4,5),(4,7),(6,3)],8)
[4,7,5,2,1,3,6,8]=>([(0,5),(1,5),(2,3),(2,4),(3,7),(4,6),(5,6),(6,7)],8)
[3,5,6,2,4,1,7,8]=>([(0,7),(1,6),(2,3),(2,6),(3,5),(5,7),(6,7),(7,4)],8)
[2,5,6,1,4,8,3,7]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(3,4),(3,7),(5,7),(6,4),(6,7)],8)
[6,7,8,4,1,5,3,2]=>([(0,7),(1,6),(2,4),(2,5),(2,7),(6,3)],8)
[7,1,6,8,4,5,3,2]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(5,7),(6,2)],8)
[7,4,6,5,2,8,1,3]=>([(0,7),(1,6),(2,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)
[7,1,5,6,4,2,3,8]=>([(0,7),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,3),(6,2)],8)
[5,7,4,6,8,1,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(5,7),(6,7)],8)
[5,7,8,1,4,6,3,2]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(5,7),(6,2)],8)
[8,1,5,7,4,6,3,2]=>([(1,3),(1,4),(1,5),(1,6),(5,7),(6,2),(6,7)],8)
[1,8,4,6,7,5,3,2]=>([(0,3),(0,4),(0,5),(0,7),(6,2),(7,1),(7,6)],8)
[6,1,8,4,7,5,3,2]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(5,2),(5,6)],8)
[4,5,8,6,1,7,3,2]=>([(0,6),(1,3),(1,4),(1,7),(5,7),(6,2),(6,5)],8)
[4,8,5,1,6,7,3,2]=>([(0,3),(0,6),(1,4),(1,5),(1,7),(6,7),(7,2)],8)
[8,1,4,5,6,7,3,2]=>([(1,3),(1,4),(1,7),(5,6),(6,2),(7,5)],8)
[5,6,7,1,4,2,3,8]=>([(0,6),(1,4),(1,5),(2,7),(3,7),(4,7),(5,3),(6,2)],8)
[8,4,2,6,1,5,7,3]=>([(1,4),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(5,6),(7,6)],8)
[4,8,5,2,1,6,7,3]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(4,7),(7,5)],8)
[5,1,8,4,2,6,3,7]=>([(0,6),(0,7),(1,2),(1,4),(1,6),(2,7),(3,5),(4,3),(4,7),(7,5)],8)
[1,8,4,6,2,5,3,7]=>([(0,3),(0,4),(0,5),(1,7),(2,7),(4,2),(4,6),(5,1),(5,6),(6,7)],8)
[6,1,5,2,3,4,7,8]=>([(0,7),(1,3),(1,6),(2,7),(3,7),(5,2),(6,5),(7,4)],8)
[8,3,1,4,6,2,5,7]=>([(1,5),(2,4),(2,5),(3,7),(4,6),(5,3),(5,6),(6,7)],8)
[3,1,8,2,5,6,4,7]=>([(0,3),(0,6),(1,4),(1,6),(1,7),(2,5),(3,4),(3,7),(4,2),(7,5)],8)
[3,5,1,8,2,6,4,7]=>([(0,3),(0,7),(1,2),(1,5),(2,6),(2,7),(3,5),(3,6),(6,4),(7,4)],8)
[3,5,1,2,8,4,7,6]=>([(0,2),(1,3),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(7,4),(7,5)],8)
[2,3,5,8,6,1,7,4]=>([(0,6),(0,7),(1,4),(3,6),(4,5),(4,7),(5,2),(5,3)],8)
[8,2,4,3,6,7,1,5]=>([(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[3,2,8,5,7,1,6,4]=>([(0,5),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(6,3),(6,5)],8)
[3,6,2,8,5,1,7,4]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,7)],8)
[6,2,1,8,4,7,5,3]=>([(0,5),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(6,3),(6,5)],8)
[2,8,7,1,4,6,5,3]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(7,2),(7,3)],8)
[8,2,7,1,5,4,6,3]=>([(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(6,4),(7,4)],8)
[7,2,5,3,6,8,1,4]=>([(0,6),(1,5),(2,3),(2,4),(3,7),(4,6),(4,7),(7,5)],8)
[7,3,1,5,6,2,4,8]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(3,6),(4,7),(5,4),(6,7)],8)
[3,7,5,1,6,2,4,8]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(2,6),(3,7),(4,5),(5,7),(6,7)],8)
[2,7,3,6,5,8,1,4]=>([(0,6),(1,4),(1,5),(2,7),(3,7),(4,7),(5,2),(5,3),(5,6)],8)
[8,7,2,4,1,6,5,3]=>([(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7)],8)
[1,8,7,2,3,6,5,4]=>([(0,4),(0,5),(0,6),(6,7),(7,1),(7,2),(7,3)],8)
[1,7,8,2,6,4,3,5]=>([(0,5),(0,6),(3,7),(4,7),(5,2),(6,1),(6,3),(6,4)],8)
[1,7,3,8,2,6,4,5]=>([(0,2),(0,3),(0,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,1)],8)
[1,2,7,3,6,4,5,8]=>([(0,6),(1,7),(2,7),(3,7),(4,3),(5,2),(5,4),(6,1),(6,5)],8)
[7,1,5,8,3,2,4,6]=>([(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(4,5),(5,6)],8)
[1,6,2,8,4,3,7,5]=>([(0,3),(0,4),(1,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,1),(4,2),(4,6)],8)
[1,3,8,7,2,4,6,5]=>([(0,5),(0,6),(5,7),(6,1),(6,2),(6,7),(7,3),(7,4)],8)
[1,8,3,7,2,5,4,6]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6),(5,7),(6,7)],8)
[8,1,4,7,3,2,5,6]=>([(1,3),(1,4),(1,6),(3,7),(4,7),(6,2),(6,7),(7,5)],8)
[4,7,8,1,3,2,5,6]=>([(0,6),(0,7),(1,3),(1,4),(3,7),(4,7),(6,2),(7,5)],8)
[7,1,4,2,3,5,6,8]=>([(0,6),(1,3),(1,5),(2,7),(3,7),(4,6),(5,2),(7,4)],8)
[8,2,1,4,7,3,5,6]=>([(1,5),(1,6),(2,5),(2,6),(5,7),(6,3),(6,7),(7,4)],8)
[2,1,3,8,4,6,7,5]=>([(0,7),(1,7),(5,3),(6,2),(6,5),(7,4),(7,6)],8)
[1,2,3,4,8,5,7,6]=>([(0,5),(4,7),(5,4),(6,2),(6,3),(7,1),(7,6)],8)
[2,4,7,5,6,8,3,1]=>([(1,2),(1,6),(3,7),(4,7),(5,4),(6,3),(6,5)],8)
[2,4,8,7,5,6,3,1]=>([(1,5),(1,7),(6,4),(7,2),(7,3),(7,6)],8)
[2,5,3,8,4,7,6,1]=>([(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,2),(4,7)],8)
[2,8,5,7,3,6,4,1]=>([(1,4),(1,5),(1,6),(5,3),(5,7),(6,2),(6,7)],8)
[3,1,8,5,2,7,6,4]=>([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(7,3),(7,4)],8)
[2,8,6,3,4,5,7,1]=>([(1,2),(1,4),(1,6),(3,7),(4,7),(5,3),(6,5)],8)
[2,5,7,3,4,8,6,1]=>([(1,4),(1,5),(2,6),(3,6),(3,7),(4,3),(5,2),(5,7)],8)
[8,3,7,6,1,4,5,2]=>([(1,5),(1,7),(2,3),(2,4),(2,7),(7,6)],8)
[3,1,7,8,2,5,6,4]=>([(0,5),(0,6),(0,7),(1,2),(1,7),(2,5),(2,6),(6,3),(7,4)],8)
[7,3,8,5,1,6,4,2]=>([(0,6),(1,3),(1,5),(1,7),(2,4),(2,5),(2,6),(4,7)],8)
[7,5,1,2,3,4,8,6]=>([(0,3),(1,7),(2,6),(2,7),(3,5),(4,6),(4,7),(5,4)],8)
[4,8,1,5,2,7,3,6]=>([(0,3),(0,7),(1,4),(1,7),(2,5),(4,2),(4,6),(7,5),(7,6)],8)
[4,1,2,5,3,8,7,6]=>([(0,2),(1,7),(2,3),(2,7),(3,4),(3,5),(3,6),(7,4),(7,5),(7,6)],8)
[4,3,6,8,7,5,1,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(7,3),(7,4)],8)
[5,4,1,8,2,7,6,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(3,4),(3,6),(3,7)],8)
[6,4,8,1,2,5,3,7]=>([(0,5),(0,6),(1,5),(1,7),(2,3),(3,4),(3,6),(4,7),(6,7)],8)
[6,7,3,1,4,8,5,2]=>([(0,6),(1,4),(2,3),(2,6),(4,7),(6,5),(6,7)],8)
[5,4,1,6,8,2,7,3]=>([(0,7),(1,7),(2,4),(2,7),(4,5),(4,6),(7,3),(7,6)],8)
[5,4,7,1,2,8,6,3]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(3,4),(3,6),(3,7),(5,6)],8)
[6,7,4,1,2,8,3,5]=>([(0,6),(0,7),(1,3),(2,4),(3,7),(4,5),(4,7),(5,6)],8)
[6,5,1,2,3,7,8,4]=>([(0,7),(1,7),(2,5),(5,6),(6,3),(6,7),(7,4)],8)
[6,5,1,2,3,4,8,7]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,5),(4,6),(4,7),(5,4)],8)
[6,7,4,1,2,5,3,8]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,4,6,3,5,7,1,8]=>([(0,7),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,7)],8)
[1,4,6,3,7,2,5,8]=>([(0,2),(0,3),(0,4),(1,5),(2,7),(3,5),(3,7),(4,1),(4,7),(5,6),(7,6)],8)
[8,6,2,5,3,1,7,4]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[8,2,3,4,5,1,7,6]=>([(1,3),(2,6),(2,7),(3,5),(4,6),(4,7),(5,4)],8)
[1,8,3,4,2,7,5,6]=>([(0,3),(0,4),(0,5),(2,6),(2,7),(4,6),(4,7),(5,2),(7,1)],8)
[2,8,3,4,1,6,7,5]=>([(0,6),(0,7),(1,3),(1,5),(4,6),(4,7),(5,4),(7,2)],8)
[8,7,2,3,1,6,5,4]=>([(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[3,8,2,4,6,1,7,5]=>([(0,6),(1,5),(1,7),(2,3),(2,6),(4,7),(6,4),(6,5)],8)
[7,8,2,4,3,1,6,5]=>([(0,6),(0,7),(1,3),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,8,2,3,1,7,6]=>([(0,6),(0,7),(1,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,1,4,3,7,2,6,8]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[6,1,3,5,7,2,4,8]=>([(0,7),(1,3),(1,4),(2,7),(3,5),(4,2),(4,5),(5,6),(7,6)],8)
[2,1,4,7,5,3,6,8]=>([(0,5),(0,7),(1,5),(1,7),(2,4),(3,6),(5,2),(5,3),(6,4),(7,6)],8)
[7,1,3,6,2,5,4,8]=>([(0,7),(1,3),(1,4),(2,7),(3,5),(3,6),(4,2),(4,5),(4,6),(5,7),(6,7)],8)
[8,1,3,6,2,4,7,5]=>([(1,3),(1,5),(3,7),(4,6),(5,4),(5,7),(7,2),(7,6)],8)
[2,1,8,3,7,5,4,6]=>([(0,6),(0,7),(1,6),(1,7),(3,5),(4,5),(7,2),(7,3),(7,4)],8)
[7,1,8,2,5,6,3,4]=>([(0,7),(1,6),(1,7),(4,3),(5,2),(6,4),(6,5)],8)
[6,1,5,8,2,7,3,4]=>([(0,6),(0,7),(1,3),(1,5),(3,6),(3,7),(4,2),(5,4),(5,7)],8)
[4,5,2,8,1,6,7,3]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(3,6),(3,7),(7,4)],8)
[6,2,5,8,1,4,7,3]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(5,7)],8)
[3,2,8,5,1,6,7,4]=>([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(5,6),(6,3)],8)
[8,2,7,1,4,6,5,3]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(7,3),(7,4)],8)
[1,3,8,2,5,7,4,6]=>([(0,3),(0,4),(3,5),(3,7),(4,2),(4,5),(4,7),(5,6),(7,1),(7,6)],8)
[2,8,7,1,6,4,5,3]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8)
[3,8,7,1,5,6,4,2]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(7,2)],8)
[3,4,8,5,6,1,7,2]=>([(0,6),(1,4),(1,7),(3,7),(5,3),(6,2),(6,5)],8)
[8,3,7,4,1,6,5,2]=>([(1,4),(1,6),(1,7),(2,3),(2,5),(5,6),(5,7)],8)
[1,4,8,6,2,7,3,5]=>([(0,4),(0,5),(2,7),(3,6),(4,3),(4,7),(5,1),(5,2),(5,6)],8)
[8,4,5,7,1,6,3,2]=>([(1,6),(2,4),(2,5),(2,7),(6,3),(6,7)],8)
[3,5,6,8,4,1,7,2]=>([(0,4),(0,7),(1,3),(1,5),(3,7),(5,6),(6,2),(6,7)],8)
[6,2,3,1,5,4,7,8]=>([(0,7),(1,5),(1,6),(2,4),(4,5),(4,6),(5,7),(6,7),(7,3)],8)
[7,2,3,1,4,6,5,8]=>([(0,7),(1,6),(2,3),(3,6),(4,7),(5,7),(6,4),(6,5)],8)
[8,2,3,1,4,5,7,6]=>([(1,7),(2,5),(5,7),(6,3),(6,4),(7,6)],8)
[8,5,1,3,2,4,7,6]=>([(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(7,5),(7,6)],8)
[7,5,1,3,2,6,4,8]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[2,6,1,4,5,3,7,8]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,7),(3,7),(5,7),(6,2),(7,4)],8)
[3,6,4,1,5,2,7,8]=>([(0,5),(0,6),(1,2),(1,4),(2,7),(4,6),(5,7),(6,7),(7,3)],8)
[4,5,6,1,3,2,7,8]=>([(0,6),(1,3),(1,4),(2,7),(3,7),(4,7),(6,2),(7,5)],8)
[4,5,7,1,2,6,3,8]=>([(0,5),(1,4),(2,7),(3,7),(4,2),(4,6),(5,3),(5,6),(6,7)],8)
[3,7,4,1,2,6,5,8]=>([(0,4),(1,2),(1,3),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[6,7,1,4,2,5,3,8]=>([(0,4),(1,3),(1,5),(2,7),(3,6),(4,7),(5,2),(5,6),(6,7)],8)
[2,7,1,3,5,6,4,8]=>([(0,6),(1,3),(1,6),(2,7),(3,7),(4,7),(5,2),(6,4),(6,5)],8)
[8,6,1,2,4,3,7,5]=>([(1,3),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,1,3,4,6,7,5]=>([(0,7),(1,4),(1,7),(5,3),(6,2),(6,5),(7,6)],8)
[7,8,1,2,5,3,6,4]=>([(0,4),(1,6),(3,7),(5,2),(5,7),(6,3),(6,5)],8)
[3,8,4,1,2,5,7,6]=>([(0,6),(1,2),(1,3),(3,7),(6,7),(7,4),(7,5)],8)
[1,2,6,7,5,3,8,4]=>([(0,6),(2,7),(3,7),(4,3),(5,1),(5,7),(6,2),(6,4),(6,5)],8)
[1,7,5,3,2,8,4,6]=>([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[1,6,7,5,3,8,4,2]=>([(0,3),(0,4),(0,5),(0,6),(2,7),(4,7),(5,2),(6,1),(6,7)],8)
[1,6,5,7,2,3,8,4]=>([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(4,7),(5,4),(6,7)],8)
[1,3,8,2,6,5,7,4]=>([(0,2),(0,3),(2,5),(2,6),(2,7),(3,1),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[1,2,5,7,6,3,4,8]=>([(0,6),(1,7),(2,7),(3,7),(4,3),(5,1),(5,2),(6,4),(6,5)],8)
[1,3,4,8,2,5,7,6]=>([(0,4),(0,6),(4,7),(5,1),(5,7),(6,5),(7,2),(7,3)],8)
[1,5,7,6,2,3,4,8]=>([(0,5),(0,6),(1,7),(2,7),(3,7),(4,3),(5,4),(6,1),(6,2)],8)
[1,5,3,8,2,6,4,7]=>([(0,1),(0,2),(0,3),(1,4),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(5,6),(7,6)],8)
[1,4,8,3,2,5,7,6]=>([(0,4),(0,5),(0,6),(4,7),(5,7),(6,1),(6,7),(7,2),(7,3)],8)
[1,4,8,3,5,7,6,2]=>([(0,4),(0,5),(0,6),(5,7),(6,1),(6,7),(7,2),(7,3)],8)
[1,2,4,8,3,5,7,6]=>([(0,6),(2,7),(5,1),(5,7),(6,2),(6,5),(7,3),(7,4)],8)
[1,3,8,4,2,6,7,5]=>([(0,4),(0,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3),(7,1)],8)
[1,4,8,2,3,5,7,6]=>([(0,5),(0,6),(2,7),(5,2),(6,1),(6,7),(7,3),(7,4)],8)
[6,5,7,3,8,2,4,1]=>([(1,5),(2,6),(3,6),(4,5),(4,7),(6,7)],8)
[4,2,6,7,5,8,3,1]=>([(1,5),(1,6),(2,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)
[6,7,5,2,1,8,4,3]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,7)],8)
[3,4,8,7,5,2,1,6]=>([(0,7),(1,7),(2,6),(5,7),(6,3),(6,4),(6,5)],8)
[1,7,5,2,8,4,6,3]=>([(0,3),(0,4),(0,5),(2,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,7)],8)
[5,6,8,3,1,7,2,4]=>([(0,6),(0,7),(1,3),(2,4),(2,7),(3,5),(3,7),(4,6)],8)
[6,1,4,8,3,2,7,5]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,4,7,1,8,6,2,5]=>([(0,4),(1,3),(1,6),(1,7),(2,6),(3,5),(4,2),(4,5),(4,7)],8)
[3,4,6,8,2,1,5,7]=>([(0,3),(1,7),(2,7),(3,5),(3,7),(5,4),(5,6),(7,6)],8)
[3,8,2,5,6,1,4,7]=>([(0,7),(1,5),(1,7),(2,3),(2,5),(2,7),(4,6),(5,4),(7,6)],8)
[3,5,2,8,6,4,1,7]=>([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,7),(6,7)],8)
[4,2,5,7,3,8,6,1]=>([(1,5),(2,3),(2,5),(3,6),(3,7),(4,7),(5,4),(5,6)],8)
[7,4,2,5,3,8,1,6]=>([(0,7),(1,6),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,2,8,5,6,4,7]=>([(0,3),(1,4),(1,5),(1,7),(2,6),(3,4),(3,5),(3,7),(5,2),(7,6)],8)
[5,2,1,6,8,3,4,7]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(4,6),(5,4),(7,3),(7,6)],8)
[5,2,6,8,4,1,3,7]=>([(0,6),(1,5),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3),(6,7)],8)
[1,5,6,8,3,4,2,7]=>([(0,3),(0,5),(0,6),(2,7),(3,7),(4,1),(4,7),(5,2),(6,4)],8)
[4,5,8,1,6,3,2,7]=>([(0,5),(1,3),(1,4),(1,6),(3,7),(4,7),(5,2),(5,6),(6,7)],8)
[4,5,1,6,8,3,2,7]=>([(0,5),(1,2),(1,3),(1,6),(2,7),(3,7),(5,6),(6,4),(6,7)],8)
[4,5,7,3,8,2,6,1]=>([(1,7),(2,6),(2,7),(3,4),(4,5),(4,7),(5,6)],8)
[6,4,3,7,8,2,5,1]=>([(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[6,4,3,1,7,8,2,5]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(5,6),(7,4)],8)
[4,5,3,1,7,8,2,6]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(3,7),(4,6),(4,7),(6,5)],8)
[7,1,3,5,4,8,2,6]=>([(0,7),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(5,2),(5,3)],8)
[7,5,2,8,1,4,3,6]=>([(0,6),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[5,7,3,8,4,6,1,2]=>([(0,3),(1,5),(1,7),(2,4),(2,6),(4,7),(5,6)],8)
[1,4,5,7,3,8,6,2]=>([(0,2),(0,3),(0,5),(1,6),(3,6),(3,7),(4,1),(4,7),(5,4)],8)
[4,6,3,7,8,5,2,1]=>([(2,6),(2,7),(3,4),(3,6),(4,7),(7,5)],8)
[5,3,6,7,8,4,2,1]=>([(2,7),(3,4),(3,7),(5,6),(7,5)],8)
[1,5,3,6,7,8,4,2]=>([(0,3),(0,4),(0,6),(4,7),(5,2),(6,1),(6,7),(7,5)],8)
[4,6,1,7,3,8,5,2]=>([(0,4),(0,7),(1,2),(1,3),(1,5),(3,6),(3,7),(4,5),(5,6)],8)
[6,3,7,1,8,4,5,2]=>([(0,5),(1,5),(1,7),(2,4),(2,6),(2,7),(5,6),(7,3)],8)
[6,7,2,4,8,1,5,3]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(3,7),(4,6),(4,7)],8)
[2,6,1,4,7,3,8,5]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(5,4),(6,3),(6,4),(7,3),(7,5)],8)
[3,2,5,6,7,8,1,4]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(5,4),(6,3)],8)
[5,2,3,6,7,8,4,1]=>([(1,7),(2,5),(5,4),(5,7),(6,3),(7,6)],8)
[6,7,1,3,2,8,4,5]=>([(0,5),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(5,7),(6,4)],8)
[6,2,7,1,3,4,8,5]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(3,7),(5,7),(6,3)],8)
[5,2,1,7,3,8,4,6]=>([(0,5),(0,7),(1,5),(1,7),(2,6),(2,7),(3,6),(5,3),(5,4),(7,4)],8)
[6,4,2,7,1,8,3,5]=>([(0,7),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(4,6),(7,5)],8)
[4,2,6,3,7,8,1,5]=>([(0,7),(1,5),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(6,3)],8)
[4,2,6,3,7,8,5,1]=>([(1,5),(1,6),(2,4),(2,5),(4,6),(4,7),(5,7),(7,3)],8)
[6,7,3,8,2,4,5,1]=>([(1,6),(2,6),(2,7),(3,4),(4,7),(6,5)],8)
[3,6,2,7,4,1,8,5]=>([(0,5),(0,7),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(4,7),(6,7)],8)
[6,7,3,2,1,4,8,5]=>([(0,7),(1,7),(2,7),(3,5),(5,6),(7,4),(7,6)],8)
[7,1,8,3,4,2,5,6]=>([(0,6),(1,4),(1,5),(1,6),(3,7),(4,7),(5,3),(7,2)],8)
[7,2,4,1,8,3,5,6]=>([(0,7),(1,5),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(6,3)],8)
[7,2,4,8,6,1,3,5]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(3,6),(3,7),(5,7)],8)
[7,3,4,8,6,2,1,5]=>([(0,7),(1,7),(2,6),(3,4),(4,5),(4,6),(4,7)],8)
[3,5,7,2,1,8,6,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(3,4),(3,7),(4,6)],8)
[6,7,8,3,2,5,1,4]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5)],8)
[6,3,7,8,2,5,4,1]=>([(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(7,4)],8)
[2,6,7,4,8,5,3,1]=>([(1,3),(1,5),(1,6),(4,7),(5,4),(6,2),(6,7)],8)
[6,2,4,7,1,8,5,3]=>([(0,7),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,7),(7,4)],8)
[4,6,2,7,1,8,5,3]=>([(0,4),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,7),(3,6),(6,5)],8)
[1,7,4,8,5,2,6,3]=>([(0,3),(0,4),(0,5),(2,6),(3,7),(4,1),(4,6),(5,2),(5,7)],8)
[1,3,7,8,5,2,6,4]=>([(0,3),(0,5),(2,6),(3,6),(3,7),(4,1),(5,2),(5,4),(5,7)],8)
[2,5,7,8,1,6,3,4]=>([(0,6),(0,7),(1,5),(1,7),(4,3),(5,4),(5,6),(7,2)],8)
[6,3,7,1,8,2,5,4]=>([(0,7),(1,3),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(7,6)],8)
[1,6,4,7,8,2,5,3]=>([(0,3),(0,4),(0,5),(3,7),(4,6),(4,7),(5,2),(5,6),(7,1)],8)
[2,5,6,1,7,8,4,3]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(3,7),(4,3),(7,2)],8)
[5,6,1,2,7,8,4,3]=>([(0,5),(1,6),(5,7),(6,2),(6,3),(6,7),(7,4)],8)
[6,7,2,1,8,5,3,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,7),(6,3)],8)
[6,7,2,8,5,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,6),(2,7),(5,7)],8)
[1,6,7,4,8,5,3,2]=>([(0,3),(0,4),(0,5),(0,6),(2,7),(5,2),(6,1),(6,7)],8)
[1,8,2,4,6,3,5,7]=>([(0,3),(0,5),(1,7),(2,6),(4,1),(4,6),(5,2),(5,4),(6,7)],8)
[1,5,7,4,3,6,2,8]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,6),(6,7)],8)
[1,8,4,5,3,6,2,7]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,7),(4,6),(5,1),(6,7)],8)
[1,8,5,3,4,7,2,6]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(3,7),(4,6),(4,7),(5,1)],8)
[1,8,2,4,6,3,7,5]=>([(0,3),(0,5),(1,6),(2,6),(2,7),(4,1),(4,7),(5,2),(5,4)],8)
[1,8,2,5,4,6,7,3]=>([(0,5),(0,6),(2,7),(3,7),(6,1),(6,2),(6,3),(7,4)],8)
[3,6,2,7,1,4,5,8]=>([(0,7),(1,5),(1,7),(2,4),(2,7),(3,6),(4,5),(5,6),(7,3)],8)
[1,4,7,5,2,6,8,3]=>([(0,4),(0,5),(1,7),(3,6),(4,2),(4,6),(5,1),(5,3),(6,7)],8)
[4,6,5,3,7,1,8,2]=>([(0,7),(1,3),(1,6),(2,4),(2,5),(4,7),(5,7),(7,6)],8)
[4,2,3,8,6,7,1,5]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(6,3)],8)
[5,2,4,8,1,3,7,6]=>([(0,5),(0,6),(0,7),(1,4),(2,3),(2,4),(3,5),(3,6),(3,7),(4,6),(4,7)],8)
[6,2,5,4,8,3,7,1]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,3,5,8,2,7,1]=>([(1,7),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8)
[5,2,3,4,8,1,6,7]=>([(0,7),(1,6),(1,7),(2,3),(3,5),(5,6),(5,7),(7,4)],8)
[3,5,2,4,7,1,6,8]=>([(0,7),(1,4),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[5,3,4,8,1,6,2,7]=>([(0,5),(0,7),(1,4),(2,3),(2,7),(3,6),(4,5),(4,7),(7,6)],8)
[4,5,3,7,1,6,2,8]=>([(0,5),(0,6),(1,4),(2,3),(2,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,6,3,8,5,1,2,4]=>([(0,7),(1,7),(2,5),(3,4),(3,6),(3,7),(5,6)],8)
[4,2,6,7,3,8,1,5]=>([(0,7),(1,5),(1,7),(2,3),(2,5),(3,6),(3,7),(4,6),(5,4)],8)
[1,5,7,4,2,8,6,3]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(3,7),(4,2),(4,7),(5,1),(5,6),(5,7)],8)
[1,3,7,2,8,6,4,5]=>([(0,3),(0,4),(2,5),(3,5),(3,6),(3,7),(4,2),(4,6),(4,7),(7,1)],8)
[1,4,3,7,8,6,2,5]=>([(0,2),(0,3),(0,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,1)],8)
[1,5,3,6,8,2,7,4]=>([(0,2),(0,3),(0,4),(2,7),(3,5),(3,7),(4,5),(4,6),(7,1),(7,6)],8)
[4,3,6,5,7,8,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(5,7),(6,7),(7,3)],8)
[4,2,3,5,6,8,1,7]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(4,6),(7,4)],8)
[5,2,6,4,7,8,3,1]=>([(1,6),(2,3),(2,4),(2,6),(4,7),(6,7),(7,5)],8)
[4,2,6,7,3,8,5,1]=>([(1,5),(1,6),(2,3),(2,5),(3,6),(3,7),(4,7),(5,4)],8)
[3,2,5,6,8,1,7,4]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(5,3)],8)
[6,4,5,2,3,8,7,1]=>([(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,2,5,3,8,7,1]=>([(1,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,4,7,5,2,3,1]=>([(2,7),(3,6),(4,5),(4,7)],8)
[8,6,2,7,4,5,3,1]=>([(2,7),(3,4),(3,5),(3,7),(5,6)],8)
[6,4,2,5,8,7,3,1]=>([(1,5),(2,6),(2,7),(3,4),(3,5),(5,6),(5,7)],8)
[4,6,2,5,3,8,7,1]=>([(1,4),(1,5),(2,3),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,5,2,3,8,7,1]=>([(1,5),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,2,7,4,5,3,1]=>([(1,5),(1,7),(2,4),(2,6),(2,7),(6,3)],8)
[6,8,7,2,4,5,3,1]=>([(1,4),(1,5),(2,6),(2,7),(7,3)],8)
[2,6,4,5,8,7,3,1]=>([(1,2),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3)],8)
[2,6,4,8,7,5,3,1]=>([(1,3),(1,4),(1,5),(4,6),(4,7),(5,2),(5,6),(5,7)],8)
[8,2,4,6,7,5,3,1]=>([(2,5),(2,7),(6,4),(7,3),(7,6)],8)
[4,2,6,8,7,5,3,1]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(7,3),(7,4)],8)
[4,2,6,5,8,7,3,1]=>([(1,6),(1,7),(2,3),(2,6),(2,7),(6,4),(6,5),(7,4),(7,5)],8)
[4,2,3,6,8,7,5,1]=>([(1,6),(1,7),(2,5),(5,6),(5,7),(7,3),(7,4)],8)
[6,4,8,7,2,5,3,1]=>([(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,7)],8)
[6,4,8,7,5,2,3,1]=>([(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8)
[4,6,5,8,7,2,3,1]=>([(1,3),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,6,4,7,5,3,1]=>([(2,4),(2,5),(2,6),(5,7),(6,3),(6,7)],8)
[4,6,8,2,7,5,3,1]=>([(1,4),(1,6),(2,3),(2,6),(2,7),(4,5),(4,7)],8)
[4,6,5,8,2,7,3,1]=>([(1,3),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,8,6,4,7,5,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2),(7,3)],8)
[6,8,7,4,2,5,3,1]=>([(1,7),(2,6),(2,7),(3,4),(3,5)],8)
[4,2,5,6,3,8,1,7]=>([(0,7),(1,5),(2,3),(2,5),(3,6),(3,7),(4,6),(4,7),(5,4)],8)
[6,2,5,7,4,8,3,1]=>([(1,6),(2,3),(2,4),(2,5),(4,7),(5,6),(6,7)],8)
[8,5,2,1,4,7,6,3]=>([(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(5,6),(5,7)],8)
[6,7,3,2,5,8,4,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,7),(6,7)],8)
[3,2,6,4,8,1,5,7]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(5,4),(6,3),(6,4),(7,3),(7,5)],8)
[2,3,6,4,7,8,5,1]=>([(1,6),(3,7),(5,2),(5,7),(6,3),(6,5),(7,4)],8)
[7,5,1,8,3,4,6,2]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(4,5),(5,6)],8)
[5,7,8,2,6,3,4,1]=>([(1,6),(1,7),(2,5),(2,7),(5,3),(6,4)],8)
[7,1,6,3,5,8,4,2]=>([(0,7),(1,3),(1,5),(1,6),(4,7),(5,7),(6,2),(6,4)],8)
[6,3,1,7,8,4,5,2]=>([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(6,5),(7,4)],8)
[5,3,6,7,4,1,8,2]=>([(0,6),(1,3),(1,7),(2,4),(2,6),(4,7),(5,7),(6,5)],8)
[7,3,1,2,5,8,6,4]=>([(0,5),(1,6),(1,7),(2,4),(4,6),(4,7),(7,3),(7,5)],8)
[1,6,3,5,2,4,8,7]=>([(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(4,1),(4,5),(5,6),(5,7)],8)
[3,4,8,2,7,5,1,6]=>([(0,5),(1,6),(1,7),(2,3),(3,4),(3,6),(3,7),(7,5)],8)
[6,3,2,8,5,7,4,1]=>([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(5,6)],8)
[3,8,4,7,2,5,6,1]=>([(1,7),(2,4),(2,6),(6,3),(6,7),(7,5)],8)
[2,4,8,1,5,3,7,6]=>([(0,3),(0,7),(1,6),(1,7),(3,2),(3,6),(6,4),(6,5),(7,4),(7,5)],8)
[3,4,8,1,6,2,7,5]=>([(0,3),(0,7),(1,4),(3,5),(3,6),(4,2),(4,6),(4,7),(7,5)],8)
[1,8,4,6,7,3,5,2]=>([(0,2),(0,3),(0,4),(0,6),(4,7),(5,1),(6,5),(6,7)],8)
[8,1,6,3,4,5,7,2]=>([(1,2),(1,4),(1,6),(3,7),(4,7),(5,3),(6,5)],8)
[7,6,5,4,1,2,8,3]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(5,7)],8)
[5,7,6,8,3,4,2,1]=>([(2,4),(3,5),(3,6),(5,7),(6,7)],8)
[2,8,1,6,5,7,4,3]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(6,3),(7,3)],8)
[4,6,8,2,5,3,7,1]=>([(1,3),(1,6),(2,4),(2,6),(3,7),(4,5),(4,7),(6,7)],8)
[5,2,3,7,6,1,8,4]=>([(0,4),(0,7),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[8,1,2,4,6,7,3,5]=>([(1,6),(3,7),(4,2),(5,4),(5,7),(6,3),(6,5)],8)
[5,2,3,7,4,8,6,1]=>([(1,5),(1,7),(2,3),(3,4),(3,7),(4,5),(4,6),(7,6)],8)
[5,2,6,8,4,3,1,7]=>([(0,7),(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(6,5),(6,7)],8)
[7,8,1,5,4,3,6,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(3,7),(4,7),(5,7)],8)
[7,2,4,8,5,3,6,1]=>([(1,6),(2,3),(2,4),(3,7),(4,5),(4,6),(5,7)],8)
[3,7,5,1,8,4,6,2]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(1,6),(2,7),(3,5),(3,7),(6,5)],8)
[2,7,8,5,4,6,1,3]=>([(0,7),(1,3),(1,4),(1,5),(1,7),(3,6),(4,6),(5,2)],8)
[5,7,4,3,8,6,2,1]=>([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[4,8,1,6,3,5,2,7]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,7),(3,5),(5,7),(6,7)],8)
[8,3,1,7,4,2,5,6]=>([(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(6,7),(7,4)],8)
[3,1,8,2,4,5,7,6]=>([(0,6),(0,7),(1,4),(1,7),(4,6),(5,2),(5,3),(6,5)],8)
[8,1,3,7,6,2,4,5]=>([(1,4),(1,6),(4,7),(6,2),(6,3),(6,7),(7,5)],8)
[2,3,6,8,7,1,4,5]=>([(0,7),(1,5),(5,6),(5,7),(6,2),(6,3),(7,4)],8)
[4,3,2,8,5,7,1,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(7,4),(7,5)],8)
[3,6,4,2,8,5,7,1]=>([(1,5),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
[4,7,3,2,5,1,8,6]=>([(0,6),(1,6),(2,5),(2,7),(3,4),(3,6),(4,7),(6,5),(6,7)],8)
[3,2,4,7,5,8,6,1]=>([(1,6),(2,6),(3,7),(4,5),(4,7),(6,3),(6,4)],8)
[4,2,3,8,6,5,1,7]=>([(0,7),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[2,4,3,5,1,8,6,7]=>([(0,6),(0,7),(1,3),(1,4),(3,5),(4,5),(5,6),(5,7),(7,2)],8)
[3,2,8,1,4,6,5,7]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(3,6),(4,6),(7,3),(7,4)],8)
[4,7,8,3,1,2,6,5]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(2,7),(3,5),(4,6),(4,7)],8)
[4,7,8,2,1,3,6,5]=>([(0,5),(1,5),(2,3),(2,6),(2,7),(3,4),(5,6),(5,7)],8)
[4,1,6,8,2,3,7,5]=>([(0,6),(0,7),(1,4),(1,7),(3,5),(3,6),(4,3),(7,2),(7,5)],8)
[4,5,1,2,8,3,7,6]=>([(0,3),(1,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,2),(4,7)],8)
[4,6,2,8,1,3,7,5]=>([(0,7),(1,3),(1,6),(2,5),(2,7),(3,4),(3,5),(7,4),(7,6)],8)
[3,6,2,8,4,7,1,5]=>([(0,6),(1,3),(1,7),(2,5),(2,7),(3,4),(3,5),(7,4),(7,6)],8)
[3,2,6,8,4,7,1,5]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(6,3),(6,4),(7,4),(7,5)],8)
[4,2,6,8,3,1,7,5]=>([(0,6),(0,7),(1,5),(1,6),(2,3),(2,5),(3,6),(3,7),(5,4),(5,7)],8)
[4,2,5,1,8,3,7,6]=>([(0,7),(1,5),(1,6),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4),(7,5)],8)
[4,1,2,5,8,3,7,6]=>([(0,7),(1,4),(3,5),(3,6),(4,3),(4,7),(7,2),(7,5),(7,6)],8)
[5,2,4,1,3,8,7,6]=>([(0,5),(0,6),(0,7),(1,4),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,2,5,3,8,1,7,6]=>([(0,6),(0,7),(1,4),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,2,5,4,8,7,1,6]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(5,7),(6,3),(6,4),(6,7)],8)
[5,1,4,2,3,8,7,6]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,2)],8)
[5,4,1,3,2,8,7,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,4,3,1,2,8,7,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[3,5,1,4,8,7,2,6]=>([(0,3),(0,6),(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(6,4),(6,5),(6,7)],8)
[2,5,6,8,7,3,4,1]=>([(1,5),(1,6),(5,4),(6,7),(7,2),(7,3)],8)
[3,4,5,1,8,7,2,6]=>([(0,4),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(4,2)],8)
[4,3,6,8,2,1,7,5]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(5,4),(5,6)],8)
[2,4,6,8,3,7,5,1]=>([(1,3),(1,5),(3,6),(3,7),(4,2),(4,7),(5,4),(5,6)],8)
[3,4,5,2,8,7,1,6]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(4,5),(4,6),(4,7)],8)
[5,3,1,4,2,8,7,6]=>([(0,5),(0,6),(0,7),(1,4),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,3,2,1,4,8,7,6]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(7,4),(7,5),(7,6)],8)
[4,3,2,5,8,1,7,6]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(7,4),(7,5),(7,6)],8)
[3,2,4,5,8,7,1,6]=>([(0,6),(1,6),(2,7),(3,4),(3,5),(3,7),(6,3)],8)
[5,2,1,3,4,8,7,6]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(7,3)],8)
[5,1,2,3,4,8,7,6]=>([(0,5),(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,2),(4,3)],8)
[8,6,2,5,4,1,3,7]=>([(1,7),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[6,5,7,4,2,8,3,1]=>([(1,7),(2,6),(3,6),(4,5),(4,7),(6,7)],8)
[6,7,5,3,8,2,4,1]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(5,7)],8)
[8,2,1,6,3,4,5,7]=>([(1,5),(1,7),(2,5),(2,7),(3,4),(4,6),(5,6),(7,3)],8)
[8,3,5,6,2,4,1,7]=>([(1,7),(2,6),(3,4),(3,6),(4,5),(5,7),(6,7)],8)
[8,6,2,1,3,5,4,7]=>([(1,7),(2,6),(3,6),(4,7),(5,7),(6,4),(6,5)],8)
[8,1,2,3,4,6,5,7]=>([(1,5),(2,7),(3,7),(4,6),(5,4),(6,2),(6,3)],8)
[6,2,3,7,8,4,5,1]=>([(1,7),(2,6),(5,3),(6,5),(6,7),(7,4)],8)
[7,5,8,2,6,3,4,1]=>([(1,6),(2,6),(2,7),(3,4),(3,7),(4,5)],8)
[7,3,1,6,5,8,4,2]=>([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(5,7),(6,7)],8)
[1,5,6,7,3,4,8,2]=>([(0,3),(0,5),(0,6),(1,7),(2,7),(4,1),(5,2),(6,4)],8)
[6,7,8,2,1,4,5,3]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(4,5),(7,3)],8)
[8,4,7,6,2,1,3,5]=>([(1,6),(2,6),(3,4),(3,5),(3,7),(6,7)],8)
[5,3,8,4,7,2,6,1]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7)],8)
[8,1,3,7,6,4,2,5]=>([(1,5),(1,6),(4,7),(5,7),(6,2),(6,3),(6,4)],8)
[5,3,1,7,8,6,2,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(4,5),(7,3)],8)
[3,5,8,2,7,1,6,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(3,4),(3,5),(3,7)],8)
[6,2,8,5,3,1,7,4]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7)],8)
[8,2,6,4,7,1,3,5]=>([(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6)],8)
[3,4,2,8,5,1,7,6]=>([(0,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(7,4),(7,5)],8)
[3,8,6,5,2,1,7,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[8,3,7,4,2,5,6,1]=>([(2,7),(3,4),(3,5),(5,7),(7,6)],8)
[4,8,5,7,2,1,3,6]=>([(0,6),(1,6),(2,3),(2,4),(4,5),(4,7),(6,7)],8)
[3,4,1,8,2,6,7,5]=>([(0,4),(1,3),(1,6),(3,5),(3,7),(4,5),(4,6),(4,7),(7,2)],8)
[8,4,6,3,7,1,5,2]=>([(1,6),(1,7),(2,4),(2,7),(3,5),(3,7),(5,6)],8)
[6,8,3,4,1,5,7,2]=>([(0,5),(1,3),(1,7),(2,4),(2,6),(5,7),(7,6)],8)
[5,1,7,6,2,8,4,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(4,2),(4,3),(4,7),(5,7),(6,7)],8)
[6,8,2,5,7,4,1,3]=>([(0,6),(1,4),(1,7),(2,3),(2,5),(2,6),(5,7)],8)
[2,8,5,6,7,1,3,4]=>([(0,7),(1,3),(1,6),(1,7),(5,2),(6,5),(7,4)],8)
[2,5,7,6,3,1,8,4]=>([(0,6),(0,7),(1,4),(1,5),(2,7),(3,7),(4,6),(4,7),(5,2),(5,3)],8)
[4,2,8,3,1,5,6,7]=>([(0,7),(1,6),(1,7),(2,3),(2,6),(3,7),(4,5),(7,4)],8)
[2,5,7,3,8,4,6,1]=>([(1,4),(1,5),(2,7),(3,6),(4,3),(4,7),(5,2),(5,6)],8)
[4,2,7,1,8,5,3,6]=>([(0,5),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(5,4),(6,3),(7,3)],8)
[4,2,1,8,7,5,6,3]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[8,3,6,7,1,5,4,2]=>([(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(4,5)],8)
[1,3,7,5,8,6,4,2]=>([(0,4),(0,6),(3,7),(5,2),(5,7),(6,1),(6,3),(6,5)],8)
[5,7,8,4,3,1,6,2]=>([(0,7),(1,7),(2,4),(2,7),(3,5),(3,7),(5,6)],8)
[2,7,4,5,8,3,6,1]=>([(1,2),(1,3),(1,5),(2,7),(3,6),(4,6),(4,7),(5,4)],8)
[3,5,7,1,4,8,6,2]=>([(0,3),(0,7),(1,4),(1,7),(2,5),(4,2),(4,6),(7,5),(7,6)],8)
[7,2,8,5,1,4,6,3]=>([(0,6),(1,4),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(7,5)],8)
[1,6,5,3,8,4,2,7]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,6)],8)
[5,7,4,8,3,6,2,1]=>([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
[4,8,6,1,3,5,2,7]=>([(0,3),(0,5),(1,2),(1,4),(1,6),(3,7),(4,7),(5,6),(6,7)],8)
[1,8,3,2,4,7,5,6]=>([(0,3),(0,4),(0,5),(4,7),(5,7),(6,1),(7,2),(7,6)],8)
[8,4,3,2,5,7,1,6]=>([(1,7),(2,7),(3,7),(4,6),(7,5),(7,6)],8)
[3,6,4,8,2,5,7,1]=>([(1,5),(2,3),(2,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
[4,3,7,2,5,8,1,6]=>([(0,7),(1,5),(2,4),(2,7),(3,4),(3,7),(4,6),(7,5),(7,6)],8)
[3,2,4,7,8,5,6,1]=>([(1,7),(2,7),(5,4),(6,3),(7,5),(7,6)],8)
[2,6,4,3,8,5,1,7]=>([(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7)],8)
[3,8,2,1,6,4,5,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(4,5),(6,5),(7,4)],8)
[8,2,1,3,4,5,7,6]=>([(1,7),(2,7),(5,6),(6,3),(6,4),(7,5)],8)
[4,6,8,3,2,1,5,7]=>([(0,7),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(7,6)],8)
[3,2,6,8,5,4,1,7]=>([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3),(6,7)],8)
[7,3,8,2,5,4,1,6]=>([(0,7),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[4,2,5,3,8,7,6,1]=>([(1,7),(2,3),(2,7),(3,4),(3,5),(3,6),(7,4),(7,5),(7,6)],8)
[4,8,2,6,5,3,1,7]=>([(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[2,6,8,5,4,1,3,7]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,2),(5,7),(6,7)],8)
[3,1,8,6,5,4,2,7]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(4,7),(5,7),(6,7)],8)
[5,4,8,7,3,2,6,1]=>([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,4,8,3,7,2,5,1]=>([(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7)],8)
[4,7,3,6,2,1,8,5]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[5,4,3,7,1,8,2,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,7),(6,5)],8)
[7,3,8,5,1,4,2,6]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(6,7)],8)
[5,4,8,7,6,2,1,3]=>([(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7)],8)
[3,8,1,5,7,4,6,2]=>([(0,4),(0,6),(0,7),(1,3),(1,6),(1,7),(6,5),(7,2),(7,5)],8)
[4,8,5,7,3,1,6,2]=>([(0,7),(1,5),(1,7),(2,4),(2,6),(6,3),(6,7)],8)
[1,5,4,8,3,7,6,2]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,8,3,6,7,1,5,2]=>([(0,6),(0,7),(1,3),(1,7),(2,4),(2,6),(2,7),(6,5)],8)
[4,7,8,3,1,6,5,2]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(4,5)],8)
[8,7,5,3,6,4,2,1]=>([(4,7),(5,6),(5,7)],8)
[4,6,1,3,8,7,5,2]=>([(0,4),(0,7),(1,2),(1,3),(3,5),(3,6),(3,7),(4,5),(4,6)],8)
[6,8,2,1,7,4,5,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,7),(6,3)],8)
[3,7,1,6,4,2,8,5]=>([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,7),(3,4),(3,7),(5,7),(6,4),(6,7)],8)
[3,1,2,7,5,6,8,4]=>([(0,3),(1,4),(1,5),(1,7),(2,6),(3,4),(3,5),(3,7),(5,2),(7,6)],8)
[3,6,1,2,7,5,8,4]=>([(0,3),(1,2),(1,5),(1,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[3,7,6,2,5,8,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7)],8)
[3,6,2,5,8,7,4,1]=>([(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(7,4),(7,5)],8)
[8,5,2,3,6,7,4,1]=>([(2,7),(3,4),(4,6),(4,7),(7,5)],8)
[4,7,2,6,3,8,1,5]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,7),(4,6),(4,7),(5,7)],8)
[6,3,2,4,8,7,5,1]=>([(1,7),(2,7),(3,5),(3,6),(7,4),(7,5),(7,6)],8)
[3,7,2,4,6,1,8,5]=>([(0,6),(1,5),(1,7),(2,4),(2,6),(3,7),(4,7),(6,3),(6,5)],8)
[5,3,7,2,8,1,4,6]=>([(0,7),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(4,6),(7,5)],8)
[6,3,2,8,7,5,1,4]=>([(0,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[7,3,8,2,6,5,1,4]=>([(0,7),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[6,4,8,7,2,5,1,3]=>([(0,7),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6)],8)
[2,5,4,8,1,7,6,3]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7)],8)
[5,2,8,1,7,6,3,4]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(5,3)],8)
[6,2,1,3,8,7,5,4]=>([(0,7),(1,7),(2,5),(2,6),(7,3),(7,4),(7,5),(7,6)],8)
[3,6,1,8,7,5,2,4]=>([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(2,7),(3,4),(3,5)],8)
[5,6,1,2,8,7,4,3]=>([(0,4),(1,5),(4,6),(4,7),(5,2),(5,3),(5,6),(5,7)],8)
[7,5,2,8,1,6,4,3]=>([(0,6),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[2,7,6,8,1,5,4,3]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(3,4)],8)
[7,8,5,1,6,2,4,3]=>([(0,7),(1,5),(2,6),(2,7),(6,3),(6,4)],8)
[7,4,8,6,1,2,5,3]=>([(0,6),(1,4),(2,3),(2,6),(2,7),(4,5),(4,7)],8)
[7,2,1,8,3,6,5,4]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(6,3),(6,4),(6,5)],8)
[5,8,7,1,6,4,3,2]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7)],8)
[8,5,4,3,7,2,1,6]=>([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,4,8,3,2,7,1]=>([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,4,3,2,8,5,1]=>([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,1,4,8,2,5,6]=>([(0,6),(1,5),(2,3),(2,5),(3,7),(5,6),(5,7),(7,4)],8)
[7,4,1,2,5,8,3,6]=>([(0,7),(1,5),(2,3),(3,4),(3,7),(4,6),(7,5),(7,6)],8)
[6,7,4,2,5,1,3,8]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(4,7),(5,7),(6,7)],8)
[5,7,2,4,6,8,1,3]=>([(0,5),(1,4),(1,5),(2,3),(2,6),(3,7),(4,6),(6,7)],8)
[4,7,5,1,6,2,8,3]=>([(0,5),(0,6),(1,3),(1,4),(3,7),(4,6),(5,2),(5,7),(6,7)],8)
[5,7,4,6,3,1,8,2]=>([(0,7),(1,6),(2,4),(2,7),(3,5),(3,6),(5,7),(6,7)],8)
[7,5,1,4,3,2,8,6]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,4,2,3,7,5,1]=>([(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[6,4,7,1,3,8,5,2]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6),(4,7),(5,7)],8)
[5,4,2,7,3,1,6,8]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,7),(6,5),(7,5)],8)
[4,5,1,2,7,6,8,3]=>([(0,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6),(5,7),(6,7)],8)
[5,4,6,8,3,1,2,7]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(6,5),(6,7)],8)
[6,4,8,1,3,7,2,5]=>([(0,5),(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(3,7),(4,6),(4,7)],8)
[4,6,1,3,8,5,2,7]=>([(0,4),(0,6),(1,2),(1,3),(2,7),(3,5),(3,6),(4,5),(4,7),(6,7)],8)
[1,3,8,4,5,7,2,6]=>([(0,3),(0,6),(3,7),(4,5),(5,1),(5,7),(6,2),(6,4)],8)
[2,6,7,4,5,3,1,8]=>([(0,7),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,3),(6,2)],8)
[2,6,8,4,3,5,1,7]=>([(0,7),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,7),(6,7)],8)
[1,3,7,4,2,8,5,6]=>([(0,4),(0,5),(1,7),(2,6),(2,7),(4,6),(4,7),(5,1),(5,2),(6,3)],8)
[4,6,1,3,7,2,5,8]=>([(0,4),(0,7),(1,2),(1,3),(2,7),(3,5),(3,7),(4,5),(5,6),(7,6)],8)
[7,5,8,6,2,1,3,4]=>([(0,7),(1,7),(2,6),(3,5),(3,6),(7,4)],8)
[2,8,1,3,6,5,4,7]=>([(0,6),(1,2),(1,6),(3,7),(4,7),(5,7),(6,3),(6,4),(6,5)],8)
[2,8,7,3,5,4,1,6]=>([(0,7),(1,2),(1,3),(1,6),(4,7),(5,7),(6,4),(6,5)],8)
[3,4,2,6,8,7,1,5]=>([(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(6,4),(6,5)],8)
[7,4,2,3,6,1,8,5]=>([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(4,5),(4,7),(5,6)],8)
[8,4,2,3,6,5,7,1]=>([(2,6),(2,7),(3,4),(4,6),(4,7),(6,5),(7,5)],8)
[7,3,8,4,1,2,6,5]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[6,8,3,2,7,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7)],8)
[2,8,5,6,3,7,1,4]=>([(0,7),(1,2),(1,4),(1,5),(3,6),(4,6),(4,7),(5,3)],8)
[7,4,2,5,8,1,6,3]=>([(0,7),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6),(5,7)],8)
[2,7,8,3,4,5,1,6]=>([(0,7),(1,5),(1,6),(3,7),(4,3),(5,4),(6,2)],8)
[3,7,1,2,4,6,5,8]=>([(0,5),(1,4),(1,6),(2,7),(3,7),(4,7),(5,6),(6,2),(6,3)],8)
[7,5,6,8,2,1,4,3]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(4,7)],8)
[3,1,6,5,2,7,4,8]=>([(0,2),(0,4),(0,5),(1,4),(1,5),(1,6),(2,6),(2,7),(4,7),(5,7),(6,3),(7,3)],8)
[2,8,6,5,3,4,1,7]=>([(0,7),(1,2),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,3)],8)
[1,7,2,3,5,6,8,4]=>([(0,3),(0,5),(2,7),(3,7),(4,2),(5,6),(6,1),(6,4)],8)
[3,7,4,2,1,5,6,8]=>([(0,7),(1,7),(2,3),(2,4),(3,7),(4,6),(5,6),(7,5)],8)
[3,4,6,2,8,5,7,1]=>([(1,5),(1,7),(2,3),(3,4),(3,7),(4,5),(4,6),(7,6)],8)
[4,2,1,7,5,8,3,6]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(6,4),(7,4),(7,5)],8)
[4,7,2,6,5,1,3,8]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[3,7,4,1,2,5,8,6]=>([(0,5),(1,3),(1,4),(3,7),(4,6),(5,7),(7,2),(7,6)],8)
[4,7,1,6,5,2,8,3]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,7),(4,2),(4,7),(5,7),(6,7)],8)
[4,7,3,6,5,1,8,2]=>([(0,5),(0,6),(1,3),(1,7),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[4,3,7,1,6,8,5,2]=>([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(4,5),(7,5)],8)
[4,2,1,7,5,6,8,3]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(6,5),(7,3)],8)
[3,2,4,8,6,7,1,5]=>([(0,7),(1,7),(2,6),(4,5),(7,3),(7,4),(7,6)],8)
[4,2,6,8,7,3,1,5]=>([(0,7),(1,6),(1,7),(2,3),(2,6),(3,7),(6,4),(6,5)],8)
[3,4,6,1,8,5,2,7]=>([(0,4),(1,3),(1,5),(1,6),(2,5),(2,7),(3,7),(4,2),(4,6),(6,7)],8)
[4,1,6,7,5,8,2,3]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(3,5),(4,2),(6,5),(7,3)],8)
[4,3,6,7,5,1,2,8]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,7),(4,7),(5,7),(6,3)],8)
[4,3,7,1,6,8,2,5]=>([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(3,7),(4,5),(6,5)],8)
[4,3,7,5,6,8,2,1]=>([(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,4)],8)
[4,1,7,3,6,5,2,8]=>([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[2,8,7,4,5,3,1,6]=>([(0,7),(1,2),(1,3),(1,5),(1,6),(4,7),(5,7),(6,4)],8)
[2,8,7,4,3,5,1,6]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6),(6,7)],8)
[3,8,1,4,2,6,5,7]=>([(0,3),(0,7),(1,2),(1,7),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)
[4,1,7,3,6,2,5,8]=>([(0,4),(0,5),(0,7),(1,2),(1,3),(1,4),(2,7),(3,5),(3,7),(4,6),(5,6),(7,6)],8)
[5,8,7,6,1,2,4,3]=>([(0,7),(1,4),(1,5),(1,6),(7,2),(7,3)],8)
[5,8,7,6,2,1,3,4]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(7,6)],8)
[4,1,7,2,6,8,5,3]=>([(0,3),(0,7),(1,5),(1,6),(1,7),(3,2),(3,5),(3,6),(6,4),(7,4)],8)
[4,2,7,3,6,1,8,5]=>([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(3,5),(3,7),(4,6),(5,6)],8)
[4,2,7,3,6,5,8,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[3,8,2,4,5,6,7,1]=>([(1,7),(2,4),(2,7),(5,3),(6,5),(7,6)],8)
[3,8,2,4,1,6,7,5]=>([(0,6),(0,7),(1,5),(2,4),(2,5),(5,6),(5,7),(7,3)],8)
[3,8,5,6,2,4,1,7]=>([(0,7),(1,6),(2,3),(2,4),(2,6),(4,5),(5,7),(6,7)],8)
[2,8,6,5,3,7,1,4]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(3,7),(4,7),(5,6),(5,7)],8)
[3,8,6,5,1,4,7,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(3,7),(4,7),(6,7)],8)
[3,8,2,1,4,6,7,5]=>([(0,7),(1,7),(2,4),(2,7),(6,3),(7,5),(7,6)],8)
[3,8,2,5,4,6,7,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(5,7),(6,7),(7,3)],8)
[4,2,7,5,6,3,8,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[4,2,7,5,6,1,8,3]=>([(0,5),(0,6),(1,4),(1,7),(2,4),(2,5),(2,6),(3,7),(5,7),(6,3)],8)
[4,2,6,7,5,3,1,8]=>([(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[3,2,6,1,4,5,8,7]=>([(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(7,3)],8)
[2,8,7,3,4,5,1,6]=>([(0,7),(1,2),(1,3),(1,6),(4,7),(5,4),(6,5)],8)
[3,8,1,2,4,6,5,7]=>([(0,5),(1,4),(1,7),(2,6),(3,6),(5,7),(7,2),(7,3)],8)
[5,8,7,6,1,3,4,2]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(7,2)],8)
[5,8,7,6,2,3,4,1]=>([(1,7),(2,4),(2,5),(2,6),(7,3)],8)
[4,1,7,5,6,2,3,8]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(3,7),(4,3),(5,7),(6,2)],8)
[3,8,1,5,2,6,4,7]=>([(0,3),(0,7),(1,2),(1,6),(1,7),(3,5),(3,6),(5,4),(6,4),(7,5)],8)
[2,8,7,5,3,4,1,6]=>([(0,7),(1,2),(1,3),(1,5),(1,6),(4,7),(5,7),(6,4)],8)
[2,8,7,5,4,3,1,6]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(4,7),(5,7),(6,7)],8)
[4,1,7,5,6,3,2,8]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2)],8)
[5,8,7,6,1,3,2,4]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(5,7),(6,7)],8)
[5,8,7,6,4,1,2,3]=>([(1,7),(2,4),(2,5),(2,6),(7,3)],8)
[5,4,2,3,7,6,8,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5),(7,5)],8)
[7,4,3,5,2,8,1,6]=>([(0,7),(1,6),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8)
[8,4,3,7,5,1,6,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(6,7)],8)
[8,4,7,2,5,1,6,3]=>([(1,5),(1,7),(2,5),(2,6),(3,4),(3,6),(6,7)],8)
[7,4,6,2,3,5,8,1]=>([(1,7),(2,5),(3,4),(3,6),(4,7),(5,6),(6,7)],8)
[5,1,7,2,4,6,8,3]=>([(0,6),(0,7),(1,4),(1,7),(3,6),(4,2),(4,3),(6,5),(7,5)],8)
[4,5,7,1,2,6,8,3]=>([(0,4),(1,5),(3,7),(4,2),(4,6),(5,3),(5,6),(6,7)],8)
[5,4,1,7,3,6,8,2]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(4,7),(6,5),(7,5)],8)
[3,6,4,7,5,2,8,1]=>([(1,7),(2,3),(2,4),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[3,4,7,6,2,5,8,1]=>([(1,3),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,7,5,6,1,3,8,2]=>([(0,3),(0,4),(1,5),(1,6),(2,7),(4,7),(5,7),(6,2)],8)
[5,7,6,4,3,1,8,2]=>([(0,7),(1,7),(2,4),(2,7),(3,5),(3,6),(5,7),(6,7)],8)
[5,7,6,3,1,4,8,2]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(4,7),(5,7),(6,7)],8)
[7,5,2,3,4,8,1,6]=>([(0,7),(1,6),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)
[8,7,5,3,4,1,6,2]=>([(2,7),(3,6),(4,5),(4,7),(6,7)],8)
[6,7,1,3,8,4,2,5]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(4,7),(5,2),(5,7)],8)
[7,6,1,3,4,8,5,2]=>([(0,7),(1,7),(2,4),(2,5),(5,6),(6,3),(6,7)],8)
[3,6,5,2,7,8,1,4]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(2,6),(3,7),(4,7),(7,5)],8)
[3,2,8,6,7,1,4,5]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(7,4)],8)
[4,8,3,6,5,2,1,7]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[1,8,6,5,4,2,3,7]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(3,7),(4,7),(5,7),(6,1)],8)
[1,8,7,2,3,5,4,6]=>([(0,3),(0,4),(0,5),(1,7),(2,7),(5,6),(6,1),(6,2)],8)
[1,8,7,2,5,3,4,6]=>([(0,3),(0,4),(0,6),(1,7),(2,7),(5,2),(6,1),(6,5)],8)
[3,6,8,5,1,2,4,7]=>([(0,4),(1,3),(1,5),(1,6),(3,7),(4,6),(5,2),(5,7),(6,7)],8)
[3,7,5,1,8,2,6,4]=>([(0,4),(0,7),(1,2),(1,3),(1,6),(2,7),(3,5),(3,7),(4,5),(4,6)],8)
[7,1,2,8,3,5,6,4]=>([(0,7),(1,5),(4,3),(5,6),(5,7),(6,2),(6,4)],8)
[6,1,7,8,2,5,3,4]=>([(0,7),(1,6),(1,7),(5,3),(6,2),(6,5),(7,4)],8)
[6,7,5,2,8,1,4,3]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(4,7)],8)
[7,1,4,5,8,6,2,3]=>([(0,7),(1,4),(1,5),(4,6),(5,2),(6,3),(6,7)],8)
[5,7,6,4,2,8,1,3]=>([(0,7),(1,6),(2,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)
[7,5,6,1,2,8,4,3]=>([(0,7),(1,5),(2,6),(5,7),(6,3),(6,4),(6,7)],8)
[4,1,3,7,8,6,2,5]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(3,7),(4,5),(4,6),(4,7),(6,2)],8)
[5,1,4,3,6,8,7,2]=>([(0,7),(1,2),(1,3),(1,4),(3,7),(4,7),(7,5),(7,6)],8)
[4,5,7,6,8,2,1,3]=>([(0,3),(1,6),(2,6),(3,4),(3,5),(4,7),(5,7)],8)
[5,7,6,8,4,2,1,3]=>([(1,6),(2,6),(3,4),(3,5),(4,7),(5,7)],8)
[5,1,6,8,4,2,7,3]=>([(0,6),(1,3),(1,5),(1,6),(3,7),(5,2),(5,7),(6,4),(6,7)],8)
[7,4,8,2,3,6,5,1]=>([(1,5),(2,5),(2,6),(2,7),(3,4),(4,6),(4,7)],8)
[5,6,8,4,7,3,2,1]=>([(3,7),(4,5),(5,6),(5,7)],8)
[6,4,7,8,5,2,1,3]=>([(0,7),(1,6),(2,6),(3,5),(3,7),(7,4)],8)
[3,6,4,8,5,1,2,7]=>([(0,4),(1,3),(1,5),(2,7),(3,6),(3,7),(4,7),(5,2),(5,6)],8)
[3,7,4,8,1,2,5,6]=>([(0,5),(1,3),(1,4),(3,6),(4,6),(4,7),(5,7),(7,2)],8)
[7,4,3,8,2,6,5,1]=>([(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,6,8,3,2,5,4,1]=>([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[8,7,1,3,5,4,6,2]=>([(2,3),(2,6),(4,7),(5,7),(6,4),(6,5)],8)
[7,1,8,3,4,2,6,5]=>([(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,2)],8)
[7,6,8,3,1,4,5,2]=>([(0,7),(1,6),(2,6),(3,5),(3,7),(7,4)],8)
[3,1,4,8,2,5,7,6]=>([(0,6),(1,4),(1,6),(4,7),(6,5),(6,7),(7,2),(7,3)],8)
[4,8,5,2,1,3,6,7]=>([(0,6),(1,6),(2,3),(2,4),(4,7),(6,7),(7,5)],8)
[5,8,2,6,3,1,4,7]=>([(0,7),(1,3),(1,5),(2,4),(2,5),(4,7),(5,6),(7,6)],8)
[6,8,2,3,7,4,1,5]=>([(0,6),(1,4),(2,3),(2,7),(4,5),(4,7),(5,6)],8)
[7,8,2,3,4,6,5,1]=>([(1,5),(2,6),(6,7),(7,3),(7,4)],8)
[8,1,7,2,4,5,3,6]=>([(1,2),(1,6),(3,7),(4,7),(5,4),(6,3),(6,5)],8)
[8,1,3,6,2,5,4,7]=>([(1,3),(1,4),(2,7),(3,5),(3,6),(4,2),(4,5),(4,6),(5,7),(6,7)],8)
[7,2,1,6,3,5,4,8]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[2,7,1,6,3,5,4,8]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2),(6,3)],8)
[2,7,1,5,4,3,6,8]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(4,7),(5,7),(6,7),(7,3)],8)
[7,2,1,5,4,3,6,8]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7),(7,3)],8)
[8,1,3,5,4,2,6,7]=>([(1,4),(1,6),(2,7),(3,7),(4,7),(6,2),(6,3),(7,5)],8)
[8,1,5,3,4,2,6,7]=>([(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(6,2),(7,5)],8)
[8,1,5,6,2,3,7,4]=>([(1,4),(1,5),(3,7),(4,6),(5,3),(6,2),(6,7)],8)
[8,1,4,5,3,2,6,7]=>([(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(6,2),(7,5)],8)
[8,1,4,3,5,2,6,7]=>([(1,3),(1,4),(1,5),(3,7),(4,6),(5,6),(6,7),(7,2)],8)
[7,2,1,4,5,3,6,8]=>([(0,4),(1,5),(1,7),(2,5),(2,7),(3,6),(5,3),(6,4),(7,6)],8)
[2,7,1,4,5,3,6,8]=>([(0,5),(0,7),(1,3),(1,5),(1,7),(2,6),(3,4),(5,2),(6,4),(7,6)],8)
[2,6,3,1,5,4,7,8]=>([(0,5),(0,6),(1,2),(1,4),(2,7),(4,5),(4,6),(5,7),(6,7),(7,3)],8)
[6,3,2,1,5,4,7,8]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7),(7,4)],8)
[7,3,1,4,5,2,6,8]=>([(0,6),(1,5),(2,4),(2,6),(3,7),(4,7),(6,3),(7,5)],8)
[7,3,1,5,4,2,6,8]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(7,6)],8)
[7,3,1,6,2,5,4,8]=>([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[3,7,1,6,2,5,4,8]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[3,7,1,4,5,2,6,8]=>([(0,3),(0,7),(1,4),(1,7),(2,5),(3,6),(4,5),(5,6),(7,2)],8)
[3,6,2,1,5,4,7,8]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(5,7),(6,7),(7,4)],8)
[2,3,6,1,5,4,7,8]=>([(0,5),(0,6),(1,4),(2,7),(4,2),(4,5),(4,6),(5,7),(6,7),(7,3)],8)
[3,5,2,4,1,6,7,8]=>([(0,7),(1,6),(2,3),(2,6),(3,7),(4,5),(6,7),(7,4)],8)
[6,3,4,1,5,2,7,8]=>([(0,7),(1,5),(2,3),(2,6),(3,7),(5,6),(6,7),(7,4)],8)
[6,2,4,1,5,3,7,8]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(3,6),(5,7),(6,7),(7,4)],8)
[2,6,4,1,5,3,7,8]=>([(0,5),(0,6),(1,2),(1,4),(1,6),(2,7),(4,5),(5,7),(6,7),(7,3)],8)
[2,6,5,1,3,7,4,8]=>([(0,6),(1,2),(1,3),(1,6),(2,7),(3,7),(4,5),(6,4),(6,7),(7,5)],8)
[6,2,5,1,3,7,4,8]=>([(0,7),(1,5),(2,3),(2,5),(3,7),(4,6),(5,4),(5,7),(7,6)],8)
[6,5,2,1,3,7,4,8]=>([(0,7),(1,7),(2,5),(3,5),(4,6),(5,4),(5,7),(7,6)],8)
[7,6,1,2,4,5,3,8]=>([(0,7),(1,7),(2,6),(3,7),(4,7),(5,4),(6,3),(6,5)],8)
[6,7,1,2,8,3,5,4]=>([(0,4),(1,5),(4,7),(5,6),(5,7),(6,2),(6,3)],8)
[6,7,1,2,5,4,3,8]=>([(0,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2),(6,3),(6,4)],8)
[5,6,2,1,3,7,4,8]=>([(0,5),(1,5),(2,4),(3,7),(4,6),(5,3),(5,6),(6,7)],8)
[5,2,6,1,3,7,4,8]=>([(0,6),(1,7),(2,6),(2,7),(3,4),(5,4),(6,5),(7,3),(7,5)],8)
[2,4,6,1,5,3,7,8]=>([(0,5),(0,6),(1,4),(1,6),(2,7),(4,2),(4,5),(5,7),(6,7),(7,3)],8)
[4,7,1,3,5,2,6,8]=>([(0,4),(0,7),(1,2),(1,3),(2,7),(3,5),(4,6),(5,6),(7,5)],8)
[4,7,1,5,3,2,6,8]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,7),(3,7),(4,5),(6,7),(7,5)],8)
[5,7,1,4,2,6,3,8]=>([(0,4),(0,7),(1,2),(1,5),(2,7),(3,6),(4,6),(5,3),(5,7),(7,6)],8)
[5,7,1,6,2,3,8,4]=>([(0,5),(0,6),(1,3),(1,6),(3,7),(4,2),(4,7),(5,4),(6,7)],8)
[5,6,3,1,2,7,4,8]=>([(0,6),(0,7),(1,3),(2,4),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[4,2,5,3,1,6,7,8]=>([(0,7),(1,6),(2,3),(2,6),(3,7),(4,5),(6,7),(7,4)],8)
[5,3,6,1,2,7,4,8]=>([(0,3),(1,5),(2,5),(2,7),(3,6),(3,7),(5,6),(6,4),(7,4)],8)
[3,4,6,1,5,2,7,8]=>([(0,5),(1,4),(1,6),(2,7),(4,7),(5,2),(5,6),(6,7),(7,3)],8)
[6,5,1,8,7,3,4,2]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(4,5)],8)
[8,2,7,5,4,1,3,6]=>([(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[6,8,5,2,3,4,1,7]=>([(0,7),(1,7),(2,5),(3,4),(3,7),(5,6),(6,7)],8)
[8,5,6,2,7,1,4,3]=>([(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(4,7)],8)
[6,5,1,2,7,8,4,3]=>([(0,7),(1,7),(2,6),(6,3),(6,4),(6,7),(7,5)],8)
[4,7,6,1,5,3,8,2]=>([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(3,7),(4,7),(5,7),(6,7)],8)
[5,7,6,4,1,3,8,2]=>([(0,7),(1,4),(1,5),(2,3),(2,6),(4,7),(5,7),(6,7)],8)
[7,6,2,4,5,3,8,1]=>([(1,7),(2,7),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,1,7,5,3,8,4,2]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(4,7),(5,2),(5,7),(6,7)],8)
[8,6,7,5,3,1,4,2]=>([(2,7),(3,6),(4,5),(4,7)],8)
[8,5,2,7,1,6,4,3]=>([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[7,6,1,5,3,8,4,2]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(5,7),(6,3),(6,7)],8)
[5,6,2,4,7,8,1,3]=>([(0,6),(1,3),(2,4),(2,6),(3,7),(4,7),(7,5)],8)
[3,4,6,1,7,8,5,2]=>([(0,5),(1,4),(1,6),(1,7),(3,7),(5,3),(5,6),(7,2)],8)
[3,4,8,6,7,1,5,2]=>([(0,6),(1,4),(1,7),(5,3),(6,2),(6,5),(6,7)],8)
[4,8,5,6,7,2,3,1]=>([(1,5),(2,4),(2,7),(6,3),(7,6)],8)
[5,8,6,4,1,2,7,3]=>([(0,7),(1,6),(2,4),(2,5),(5,7),(6,3),(6,7)],8)
[5,8,6,1,7,2,4,3]=>([(0,6),(0,7),(1,4),(1,5),(5,7),(6,2),(6,3)],8)
[5,8,7,3,2,6,4,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8)
[5,8,1,7,2,6,4,3]=>([(0,5),(0,7),(1,4),(1,6),(1,7),(5,2),(5,3),(5,6)],8)
[8,1,5,7,2,6,4,3]=>([(1,5),(1,6),(5,4),(5,7),(6,2),(6,3),(6,7)],8)
[8,1,7,2,5,6,3,4]=>([(1,4),(1,7),(5,3),(6,2),(7,5),(7,6)],8)
[6,8,7,2,5,1,3,4]=>([(0,7),(1,5),(1,7),(2,3),(2,4),(7,6)],8)
[5,8,7,2,1,6,3,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(6,5)],8)
[4,8,1,5,2,6,7,3]=>([(0,4),(0,6),(1,5),(1,6),(5,3),(5,7),(6,7),(7,2)],8)
[3,7,8,5,1,6,2,4]=>([(0,4),(0,7),(1,3),(1,5),(1,6),(3,7),(4,6),(5,2)],8)
[6,5,2,7,8,1,4,3]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(7,4)],8)
[7,1,2,8,5,6,3,4]=>([(0,7),(1,6),(4,3),(5,2),(6,4),(6,5),(6,7)],8)
[8,7,2,1,5,6,3,4]=>([(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8)
[8,6,7,1,5,2,3,4]=>([(1,5),(2,4),(2,7),(6,3),(7,6)],8)
[6,1,7,8,5,2,3,4]=>([(0,7),(1,3),(1,6),(1,7),(5,2),(6,5),(7,4)],8)
[7,5,6,2,1,8,4,3]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,7)],8)
[8,7,5,2,1,6,4,3]=>([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,1,3,5,8,6,2,4]=>([(0,7),(1,3),(1,5),(3,6),(4,2),(4,7),(5,4),(5,6)],8)
[5,1,3,4,6,8,7,2]=>([(0,7),(1,2),(1,6),(3,7),(6,3),(7,4),(7,5)],8)
[4,5,3,6,8,2,7,1]=>([(1,7),(2,6),(3,4),(4,7),(7,5),(7,6)],8)
[5,6,3,4,8,1,7,2]=>([(0,5),(1,4),(2,3),(2,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,7,8,5,1,3,2]=>([(0,3),(0,4),(1,5),(1,7),(6,2),(7,6)],8)
[8,4,3,1,2,6,7,5]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)
[8,5,1,6,3,4,7,2]=>([(1,6),(2,3),(2,4),(2,6),(4,5),(5,7),(6,7)],8)
[5,1,8,6,3,4,7,2]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,5),(4,2),(7,5)],8)
[4,6,8,1,5,3,7,2]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(4,7),(5,2),(5,7),(6,7)],8)
[6,4,5,8,3,2,7,1]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[3,6,4,8,7,1,5,2]=>([(0,4),(0,7),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(3,7)],8)
[6,5,8,1,3,4,7,2]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(4,5),(5,7)],8)
[5,6,8,3,1,2,7,4]=>([(0,6),(0,7),(1,3),(2,4),(3,5),(3,7),(4,6),(4,7)],8)
[6,1,8,3,5,2,7,4]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(2,7),(3,5),(3,7),(4,2),(4,5)],8)
[7,6,8,3,5,2,1,4]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(4,7)],8)
[8,6,1,3,5,2,7,4]=>([(1,7),(2,3),(2,4),(3,5),(3,6),(4,6),(4,7),(5,7)],8)
[8,7,1,3,5,6,2,4]=>([(2,4),(2,6),(4,7),(5,3),(6,5),(6,7)],8)
[6,7,8,3,5,1,2,4]=>([(0,5),(1,6),(2,4),(2,7),(5,7),(6,3)],8)
[3,4,8,1,2,6,7,5]=>([(0,4),(1,5),(4,6),(4,7),(5,3),(5,6),(5,7),(7,2)],8)
[5,8,2,4,3,6,7,1]=>([(1,3),(1,7),(2,4),(2,5),(4,7),(5,7),(7,6)],8)
[5,8,2,3,1,6,7,4]=>([(0,6),(0,7),(1,5),(2,3),(2,7),(5,6),(5,7),(7,4)],8)
[6,8,2,3,5,1,7,4]=>([(0,6),(0,7),(1,4),(2,3),(2,7),(4,5),(4,6),(5,7)],8)
[7,8,2,3,5,6,1,4]=>([(0,7),(1,6),(2,4),(5,3),(6,5),(6,7)],8)
[8,6,5,1,4,3,7,2]=>([(1,7),(2,7),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[2,6,5,4,1,3,8,7]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,7,6,3,8,2,5]=>([(0,4),(0,5),(0,7),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(5,6)],8)
[4,8,2,5,7,6,3,1]=>([(1,6),(1,7),(2,5),(2,7),(7,3),(7,4)],8)
[3,4,6,5,1,8,2,7]=>([(0,4),(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(5,2),(5,3)],8)
[2,6,5,3,4,1,8,7]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[4,6,1,5,2,3,8,7]=>([(0,3),(0,5),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,2),(5,6),(5,7)],8)
[6,2,3,5,1,4,8,7]=>([(0,6),(0,7),(1,5),(2,3),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,7,5,1,8,4,3]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,2)],8)
[8,6,1,2,5,3,4,7]=>([(1,7),(2,6),(3,7),(4,7),(5,4),(6,3),(6,5)],8)
[6,2,5,1,8,3,4,7]=>([(0,6),(0,7),(1,5),(1,6),(2,3),(2,5),(3,6),(3,7),(4,7),(5,4)],8)
[7,6,5,2,8,3,4,1]=>([(1,7),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,6,3,5,1,8,7,4]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,2),(4,5)],8)
[2,4,7,6,5,8,1,3]=>([(0,6),(1,5),(1,6),(2,7),(3,7),(4,7),(5,2),(5,3),(5,4)],8)
[2,1,4,8,7,6,3,5]=>([(0,6),(0,7),(1,6),(1,7),(6,5),(7,2),(7,3),(7,4),(7,5)],8)
[7,4,6,8,5,3,2,1]=>([(3,7),(4,5),(4,6),(6,7)],8)
[8,1,3,5,7,4,6,2]=>([(1,3),(1,6),(4,7),(5,2),(5,7),(6,4),(6,5)],8)
[3,2,8,7,5,1,6,4]=>([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3)],8)
[4,8,5,1,6,7,2,3]=>([(0,6),(0,7),(1,3),(1,4),(4,7),(6,2),(7,5)],8)
[3,8,5,1,6,7,2,4]=>([(0,5),(0,7),(1,3),(1,4),(1,6),(4,7),(5,6),(7,2)],8)
[7,8,6,1,3,5,2,4]=>([(1,4),(2,5),(2,6),(5,7),(6,3),(6,7)],8)
[5,6,7,2,8,1,3,4]=>([(0,7),(1,6),(1,7),(2,4),(4,5),(5,6),(7,3)],8)
[2,5,1,8,6,7,4,3]=>([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(3,4),(3,5),(5,2)],8)
[3,5,1,8,6,7,4,2]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(1,7),(4,5),(4,7),(7,2)],8)
[5,2,3,8,6,7,4,1]=>([(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)
[8,3,5,4,6,7,1,2]=>([(1,3),(2,4),(2,5),(4,7),(5,7),(7,6)],8)
[5,1,3,8,6,7,4,2]=>([(0,6),(0,7),(1,4),(1,5),(5,3),(5,6),(5,7),(7,2)],8)
[3,2,5,8,6,7,4,1]=>([(1,6),(1,7),(2,6),(2,7),(4,5),(7,3),(7,4)],8)
[6,2,1,5,3,8,7,4]=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(4,6),(4,7),(5,3),(5,6),(5,7)],8)
[5,6,3,2,8,1,4,7]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(4,7),(6,5)],8)
[8,1,6,3,5,2,7,4]=>([(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(4,7),(5,2),(5,6)],8)
[8,7,6,2,5,3,1,4]=>([(3,7),(4,5),(4,6),(6,7)],8)
[4,7,6,8,3,2,5,1]=>([(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
[2,7,5,8,1,3,4,6]=>([(0,7),(1,3),(1,4),(1,7),(2,5),(3,6),(4,5),(4,6),(7,2)],8)
[7,6,2,8,5,1,4,3]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7)],8)
[8,1,3,7,5,2,6,4]=>([(1,4),(1,5),(3,6),(4,6),(4,7),(5,2),(5,3),(5,7)],8)
[3,4,8,7,5,1,6,2]=>([(0,6),(1,5),(1,7),(4,7),(6,2),(6,3),(6,4)],8)
[6,3,8,1,4,2,5,7]=>([(0,3),(0,7),(1,4),(1,5),(2,5),(2,7),(3,6),(6,4),(7,6)],8)
[6,3,8,5,7,4,1,2]=>([(0,6),(0,7),(1,4),(2,3),(2,5),(2,6),(5,7)],8)
[7,4,6,8,5,1,3,2]=>([(0,7),(1,3),(1,4),(2,5),(2,6),(6,7)],8)
[2,1,4,8,7,5,6,3]=>([(0,6),(0,7),(1,6),(1,7),(5,4),(7,2),(7,3),(7,5)],8)
[7,1,5,8,2,6,4,3]=>([(0,7),(1,4),(1,5),(4,6),(4,7),(5,2),(5,3),(5,6)],8)
[3,6,8,2,4,1,7,5]=>([(0,6),(0,7),(1,5),(2,3),(2,5),(3,4),(3,7),(5,6),(5,7)],8)
[4,5,8,2,6,7,3,1]=>([(1,6),(2,5),(2,7),(6,3),(6,7),(7,4)],8)
[5,2,8,1,6,7,3,4]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(6,3),(7,4)],8)
[2,5,8,4,6,7,3,1]=>([(1,3),(1,4),(1,6),(4,7),(6,2),(6,7),(7,5)],8)
[5,8,3,4,6,7,2,1]=>([(2,5),(3,4),(3,7),(5,7),(7,6)],8)
[8,4,3,2,6,7,1,5]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[4,2,8,1,6,7,3,5]=>([(0,5),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(5,6),(7,3)],8)
[2,4,8,1,6,7,3,5]=>([(0,6),(0,7),(1,4),(1,6),(4,3),(4,5),(4,7),(6,5),(7,2)],8)
[5,1,8,2,6,7,3,4]=>([(0,6),(0,7),(1,5),(1,6),(4,3),(5,4),(5,7),(7,2)],8)
[3,4,8,7,2,1,5,6]=>([(0,7),(1,7),(2,6),(6,3),(6,4),(6,7),(7,5)],8)
[7,8,5,3,6,4,2,1]=>([(2,7),(3,6),(4,5),(4,7)],8)
[2,8,5,7,4,1,3,6]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(4,7),(5,2),(5,7),(6,7)],8)
[5,8,4,1,6,7,2,3]=>([(0,7),(1,5),(1,7),(2,6),(2,7),(6,3),(7,4)],8)
[3,8,1,4,6,7,2,5]=>([(0,3),(0,7),(1,4),(1,7),(4,6),(5,2),(7,5),(7,6)],8)
[8,2,3,4,6,7,1,5]=>([(1,7),(2,5),(4,3),(5,6),(6,4),(6,7)],8)
[6,2,7,3,8,4,1,5]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(3,7),(4,6),(5,7)],8)
[7,4,3,2,8,5,1,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(6,5)],8)
[5,3,2,8,4,6,1,7]=>([(0,4),(0,7),(1,4),(1,7),(2,5),(3,6),(3,7),(4,6),(6,5)],8)
[8,4,2,6,5,3,1,7]=>([(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[7,4,2,5,3,1,6,8]=>([(0,7),(1,5),(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[8,3,6,2,5,4,1,7]=>([(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,4,8,3,2,6,1,7]=>([(0,7),(1,7),(2,6),(3,5),(3,7),(4,5),(4,7),(7,6)],8)
[3,5,8,2,4,6,1,7]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(3,7),(5,7),(7,6)],8)
[6,4,7,8,2,3,1,5]=>([(0,7),(1,6),(2,6),(2,7),(3,4),(4,7),(6,5)],8)
[5,8,3,6,4,2,1,7]=>([(0,7),(1,7),(2,4),(2,6),(3,5),(3,6),(5,7),(6,7)],8)
[4,8,6,2,5,3,1,7]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(4,7),(5,7),(6,7)],8)
[1,6,4,3,2,8,7,5]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,5,3,2,8,4,7,6]=>([(0,1),(0,2),(0,3),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8)
[5,7,4,3,1,2,6,8]=>([(0,7),(1,7),(2,4),(3,5),(3,7),(4,7),(5,6),(7,6)],8)
[2,8,7,3,5,1,4,6]=>([(0,7),(1,2),(1,3),(1,5),(4,6),(5,4),(5,7),(7,6)],8)
[7,3,8,6,4,1,2,5]=>([(0,6),(1,5),(2,3),(2,4),(2,6),(4,7),(5,7)],8)
[6,1,2,7,3,8,5,4]=>([(0,7),(1,4),(4,5),(4,7),(5,2),(5,3),(5,6),(7,6)],8)
[2,1,7,4,3,8,6,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,7),(5,2),(5,3),(5,7),(6,2),(6,3),(6,7)],8)
[6,1,4,3,8,2,7,5]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,1,3,2,8,7,4,6]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4)],8)
[1,8,4,2,7,6,5,3]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(3,7),(4,1),(4,5),(4,6),(4,7)],8)
[1,8,3,7,2,6,5,4]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(3,7),(4,1),(4,5),(4,6),(4,7)],8)
[5,1,4,8,3,7,2,6]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[2,1,6,8,5,4,7,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(4,7),(5,7),(6,2),(6,7)],8)
[6,1,5,7,8,2,4,3]=>([(0,7),(1,4),(1,6),(4,7),(6,2),(6,3),(7,5)],8)
[8,3,1,6,7,2,5,4]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(5,3)],8)
[7,4,8,6,1,3,2,5]=>([(0,6),(1,3),(1,6),(1,7),(2,4),(2,5),(4,7),(5,7)],8)
[4,7,6,1,2,5,3,8]=>([(0,5),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(5,2),(5,6),(6,7)],8)
[3,7,6,1,5,2,4,8]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,7),(3,7),(4,5),(5,7),(6,7)],8)
[1,5,4,8,3,2,7,6]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,3,6,1,2,5,4,8]=>([(0,7),(1,4),(2,3),(2,5),(2,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,4,7,1,3,2,6,8]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(3,7),(4,7),(5,6),(7,6)],8)
[5,7,4,8,2,1,3,6]=>([(0,6),(0,7),(1,5),(2,5),(3,4),(3,7),(4,6),(5,7)],8)
[4,6,8,2,5,1,3,7]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,6,2,1,5,3,8]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[1,2,6,3,8,5,7,4]=>([(0,5),(2,6),(3,6),(3,7),(4,1),(4,2),(4,7),(5,3),(5,4)],8)
[1,5,2,6,8,4,7,3]=>([(0,4),(0,5),(3,6),(4,7),(5,2),(5,3),(5,7),(7,1),(7,6)],8)
[5,7,2,3,8,1,4,6]=>([(0,6),(1,4),(2,3),(2,5),(3,7),(4,6),(4,7),(6,5)],8)
[6,4,7,5,8,1,2,3]=>([(0,6),(1,4),(2,3),(2,6),(3,7),(4,5),(6,7)],8)
[7,4,8,5,1,6,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(5,7)],8)
[5,8,3,6,1,7,4,2]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,7),(6,7)],8)
[8,6,4,2,1,7,5,3]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,4,2,1,5,8,6,3]=>([(0,7),(1,6),(2,5),(2,7),(3,5),(3,7),(7,4),(7,6)],8)
[7,6,4,1,8,5,2,3]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8)
[1,6,4,8,7,5,3,2]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(4,7),(5,1),(5,6),(5,7)],8)
[6,3,1,2,8,4,7,5]=>([(0,6),(0,7),(1,5),(1,7),(2,4),(4,6),(4,7),(6,3),(6,5)],8)
[7,5,1,3,2,8,6,4]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,7,1,2,5,8,6,3]=>([(0,4),(0,7),(1,5),(4,6),(5,3),(5,7),(7,2),(7,6)],8)
[6,8,4,1,2,7,5,3]=>([(0,6),(0,7),(1,4),(2,3),(2,7),(4,5),(4,6),(4,7)],8)
[7,5,8,1,2,6,4,3]=>([(0,3),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7)],8)
[7,4,8,1,6,3,5,2]=>([(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(4,7)],8)
[5,8,2,1,7,3,6,4]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(6,3),(6,5)],8)
[3,6,1,8,2,4,7,5]=>([(0,3),(0,6),(1,4),(1,7),(3,7),(4,5),(4,6),(7,2),(7,5)],8)
[1,3,8,7,6,2,5,4]=>([(0,4),(0,5),(4,6),(4,7),(5,1),(5,2),(5,3),(5,6),(5,7)],8)
[5,4,1,8,7,3,2,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7)],8)
[3,5,1,8,7,2,4,6]=>([(0,3),(0,7),(1,2),(1,5),(1,6),(2,7),(3,4),(3,5),(3,6),(7,4)],8)
[4,6,1,8,3,7,2,5]=>([(0,4),(0,7),(1,2),(1,3),(1,6),(2,7),(3,5),(3,7),(4,5),(4,6)],8)
[4,7,1,2,8,6,3,5]=>([(0,4),(1,3),(1,6),(1,7),(2,6),(3,5),(4,2),(4,5),(4,7)],8)
[5,8,4,1,7,6,2,3]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(4,5)],8)
[7,6,8,1,5,4,2,3]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(6,3)],8)
[8,6,1,7,5,4,3,2]=>([(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[7,1,5,8,6,4,3,2]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(6,2),(6,7)],8)
[5,1,8,7,3,6,4,2]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(4,2),(4,5)],8)
[4,1,8,7,6,2,5,3]=>([(0,3),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(3,2),(3,4)],8)
[3,1,8,7,6,5,2,4]=>([(0,2),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3)],8)
[1,6,4,5,2,3,7,8]=>([(0,4),(0,5),(0,6),(1,7),(2,7),(4,7),(5,2),(6,1),(7,3)],8)
[1,7,4,5,2,3,6,8]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(6,7)],8)
[1,7,3,5,2,4,6,8]=>([(0,2),(0,3),(0,4),(1,7),(2,5),(3,6),(4,1),(4,5),(5,7),(7,6)],8)
[1,6,3,5,2,4,7,8]=>([(0,3),(0,4),(0,5),(1,7),(3,7),(4,6),(5,1),(5,6),(6,7),(7,2)],8)
[1,6,3,4,2,5,7,8]=>([(0,3),(0,4),(0,5),(2,6),(3,7),(4,6),(5,2),(6,7),(7,1)],8)
[1,7,3,4,2,5,6,8]=>([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,6),(5,1),(7,2)],8)
[1,8,6,7,3,4,2,5]=>([(0,3),(0,4),(0,5),(0,6),(2,7),(4,7),(5,1),(6,2)],8)
[1,8,5,7,3,4,2,6]=>([(0,3),(0,4),(0,5),(0,6),(2,7),(4,7),(5,2),(6,1),(6,7)],8)
[1,7,3,4,2,6,5,8]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(3,5),(3,6),(4,1),(5,7),(6,7)],8)
[1,5,2,8,4,7,3,6]=>([(0,3),(0,4),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,1),(4,2),(4,6)],8)
[1,4,2,8,5,7,3,6]=>([(0,3),(0,4),(2,5),(3,6),(3,7),(4,2),(4,6),(4,7),(7,1),(7,5)],8)
[1,7,3,5,2,6,4,8]=>([(0,2),(0,3),(0,4),(1,5),(2,7),(3,5),(3,6),(4,1),(4,6),(5,7),(6,7)],8)
[1,8,4,7,3,5,2,6]=>([(0,2),(0,3),(0,4),(0,5),(3,7),(4,6),(5,1),(5,6),(6,7)],8)
[1,7,3,6,2,5,4,8]=>([(0,2),(0,3),(0,4),(1,7),(2,7),(3,5),(3,6),(4,1),(4,5),(4,6),(5,7),(6,7)],8)
[1,7,3,6,2,4,5,8]=>([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,6),(6,2)],8)
[1,7,4,6,2,3,5,8]=>([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,2),(5,1),(5,6),(6,7)],8)
[1,8,5,6,2,3,4,7]=>([(0,3),(0,5),(0,6),(1,7),(2,7),(4,1),(5,2),(6,4)],8)
[1,8,5,6,2,4,3,7]=>([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(5,3),(6,1),(6,2)],8)
[1,3,2,8,5,6,4,7]=>([(0,2),(0,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,1),(7,4)],8)
[1,4,2,8,5,6,3,7]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(3,7),(4,2),(4,6),(4,7),(7,1)],8)
[1,5,2,8,4,6,3,7]=>([(0,3),(0,4),(1,7),(2,5),(3,5),(3,6),(4,1),(4,2),(4,6),(5,7)],8)
[1,6,2,8,4,5,3,7]=>([(0,3),(0,5),(1,7),(2,7),(3,6),(3,7),(4,2),(5,1),(5,4),(5,6)],8)
[8,1,2,4,5,3,6,7]=>([(1,6),(2,7),(3,7),(5,3),(6,2),(6,5),(7,4)],8)
[8,6,4,7,2,1,3,5]=>([(1,5),(2,6),(3,6),(4,5),(4,7),(6,7)],8)
[1,6,4,7,2,8,3,5]=>([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,7),(5,7)],8)
[1,4,7,3,5,8,2,6]=>([(0,2),(0,3),(0,4),(1,7),(2,5),(3,6),(4,1),(4,5),(5,6),(5,7)],8)
[8,4,6,2,3,5,1,7]=>([(1,7),(2,5),(3,4),(3,6),(4,7),(5,6),(6,7)],8)
[5,4,8,2,3,6,1,7]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(4,7),(7,6)],8)
[7,4,8,5,2,3,1,6]=>([(0,7),(1,6),(2,5),(3,4),(3,6),(4,7),(5,7)],8)
[3,8,6,2,4,5,1,7]=>([(0,7),(1,6),(2,3),(2,4),(2,6),(4,7),(5,7),(6,5)],8)
[4,8,6,2,3,5,1,7]=>([(0,7),(1,5),(2,3),(2,4),(2,6),(4,7),(5,6),(6,7)],8)
[1,7,5,3,4,8,2,6]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(2,7),(3,6),(4,6),(4,7),(5,1)],8)
[1,7,6,4,8,2,3,5]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,6),(4,7),(5,1)],8)
[5,8,7,4,1,2,3,6]=>([(0,7),(1,6),(2,3),(2,4),(2,7),(5,7),(6,5)],8)
[6,8,5,3,4,1,2,7]=>([(0,7),(1,6),(2,5),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,3,7,2,1,4,5]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,6),(7,5)],8)
[8,5,1,6,3,7,2,4]=>([(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6)],8)
[6,1,3,7,4,8,2,5]=>([(0,7),(1,2),(1,4),(2,5),(3,5),(3,6),(4,3),(4,7),(7,6)],8)
[4,1,7,3,5,8,2,6]=>([(0,2),(0,3),(0,6),(1,6),(1,7),(2,5),(3,7),(6,4),(7,4),(7,5)],8)
[7,1,6,4,8,2,3,5]=>([(0,7),(1,2),(1,4),(1,5),(2,7),(3,6),(4,6),(4,7),(5,3)],8)
[1,8,5,7,2,3,4,6]=>([(0,3),(0,5),(0,6),(2,7),(4,2),(5,4),(6,1),(6,7)],8)
[6,1,5,8,2,3,4,7]=>([(0,6),(0,7),(1,3),(1,5),(2,7),(3,6),(3,7),(4,2),(5,4)],8)
[5,1,7,3,8,2,4,6]=>([(0,2),(0,3),(0,7),(1,5),(1,7),(2,6),(3,4),(3,6),(6,5),(7,4)],8)
[6,1,5,7,8,2,3,4]=>([(0,7),(1,3),(1,6),(3,7),(5,2),(6,5),(7,4)],8)
[7,4,8,6,1,2,3,5]=>([(0,6),(1,4),(2,3),(2,6),(2,7),(4,5),(5,7)],8)
[3,8,7,5,1,2,4,6]=>([(0,5),(1,2),(1,3),(1,4),(1,6),(4,7),(5,6),(6,7)],8)
[3,7,6,1,2,4,5,8]=>([(0,5),(1,2),(1,3),(1,6),(2,7),(3,7),(4,7),(5,6),(6,4)],8)
[4,7,6,1,2,3,5,8]=>([(0,5),(1,2),(1,3),(1,6),(2,7),(3,7),(4,6),(5,4),(6,7)],8)
[1,6,5,8,2,3,4,7]=>([(0,2),(0,3),(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,1),(5,4)],8)
[6,5,8,4,1,2,3,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,7)],8)
[8,5,7,4,1,2,3,6]=>([(1,7),(2,5),(3,4),(3,7),(5,6),(6,7)],8)
[1,5,7,4,8,2,3,6]=>([(0,3),(0,4),(0,5),(1,7),(2,6),(3,6),(3,7),(4,1),(5,2),(5,7)],8)
[7,6,4,8,2,1,3,5]=>([(0,7),(1,7),(2,6),(2,7),(3,5),(4,5),(5,6)],8)
[7,6,2,3,8,1,4,5]=>([(0,7),(1,7),(2,6),(3,4),(4,6),(4,7),(6,5)],8)
[7,4,8,5,1,6,2,3]=>([(0,6),(1,4),(1,7),(2,3),(2,6),(3,7),(4,5)],8)
[8,6,2,3,1,7,4,5]=>([(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5)],8)
[8,6,4,1,2,7,3,5]=>([(1,7),(2,6),(2,7),(3,4),(4,5),(4,7),(5,6)],8)
[1,7,2,8,6,3,4,5]=>([(0,3),(0,6),(3,7),(4,5),(5,2),(6,1),(6,4),(6,7)],8)
[7,6,1,3,8,2,4,5]=>([(0,7),(1,7),(2,3),(2,4),(3,6),(4,6),(4,7),(6,5)],8)
[7,5,8,1,3,6,2,4]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(3,7),(4,6),(4,7)],8)
[5,4,1,8,2,3,6,7]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,6),(4,5),(5,7),(7,3)],8)
[1,4,8,7,2,3,5,6]=>([(0,5),(0,6),(3,7),(5,3),(6,1),(6,2),(6,7),(7,4)],8)
[1,5,8,7,2,3,4,6]=>([(0,5),(0,6),(3,7),(4,3),(5,4),(6,1),(6,2),(6,7)],8)
[6,5,1,8,2,3,4,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(3,5),(4,7),(5,4)],8)
[5,7,1,3,8,2,4,6]=>([(0,4),(0,7),(1,2),(1,3),(2,5),(3,5),(3,6),(4,6),(5,7)],8)
[7,6,8,1,5,2,3,4]=>([(0,7),(1,7),(2,4),(2,6),(5,3),(6,5)],8)
[7,1,5,8,6,2,3,4]=>([(0,7),(1,5),(1,6),(4,2),(5,4),(6,3),(6,7)],8)
[6,1,8,2,7,3,4,5]=>([(0,6),(0,7),(1,5),(1,7),(3,4),(4,2),(5,3),(5,6)],8)
[4,1,8,7,2,3,5,6]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(3,7),(4,3),(7,2)],8)
[5,1,8,7,2,3,4,6]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,5),(3,2),(4,3)],8)
[1,8,7,6,4,5,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)
[1,8,7,3,6,5,4,2]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)
[7,1,5,8,3,4,2,6]=>([(0,6),(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(4,7),(5,2)],8)
[7,1,4,3,2,5,6,8]=>([(0,6),(1,2),(1,3),(1,4),(2,7),(3,7),(4,7),(5,6),(7,5)],8)
[6,4,2,3,8,5,7,1]=>([(1,6),(1,7),(2,5),(2,7),(3,4),(4,6),(4,7),(6,5)],8)
[6,4,2,7,5,8,3,1]=>([(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(5,6),(7,6)],8)
[2,4,1,7,5,8,3,6]=>([(0,2),(0,6),(1,5),(1,6),(1,7),(2,5),(2,7),(5,4),(6,3),(7,3),(7,4)],8)
[7,1,4,6,5,2,3,8]=>([(0,7),(1,5),(1,6),(2,7),(3,7),(4,7),(5,4),(6,2),(6,3)],8)
[7,1,4,6,5,8,2,3]=>([(0,7),(1,5),(1,6),(3,7),(4,7),(5,2),(6,3),(6,4)],8)
[7,1,4,6,3,8,2,5]=>([(0,7),(1,3),(1,4),(1,5),(2,7),(3,6),(4,6),(4,7),(5,2),(5,6)],8)
[7,1,4,3,2,5,8,6]=>([(0,6),(1,2),(1,3),(1,4),(2,7),(3,7),(4,7),(7,5),(7,6)],8)
[7,1,4,6,5,2,8,3]=>([(0,7),(1,5),(1,6),(3,7),(4,7),(5,2),(5,7),(6,3),(6,4)],8)
[7,1,4,6,5,3,8,2]=>([(0,7),(1,2),(1,5),(1,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[7,1,4,6,5,3,2,8]=>([(0,7),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2),(6,3)],8)
[6,4,2,7,5,3,8,1]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[3,4,7,2,6,8,5,1]=>([(1,6),(1,7),(2,3),(3,4),(3,6),(3,7),(4,5),(7,5)],8)
[3,4,7,1,6,8,2,5]=>([(0,3),(0,7),(1,4),(2,5),(3,6),(4,2),(4,6),(4,7),(7,5)],8)
[3,4,7,1,6,8,5,2]=>([(0,4),(1,3),(1,6),(1,7),(2,5),(4,2),(4,6),(4,7),(7,5)],8)
[2,4,1,7,5,3,6,8]=>([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(4,3),(5,4),(6,3),(7,4)],8)
[3,4,1,7,8,6,2,5]=>([(0,4),(1,3),(1,6),(1,7),(3,5),(4,5),(4,6),(4,7),(7,2)],8)
[6,4,2,3,8,5,1,7]=>([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(4,5),(4,7),(5,6)],8)
[6,4,2,7,5,8,1,3]=>([(0,7),(1,4),(2,5),(2,7),(3,4),(3,5),(3,7),(5,6),(7,6)],8)
[6,4,2,7,5,3,1,8]=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[3,4,7,2,6,8,1,5]=>([(0,7),(1,6),(1,7),(2,3),(3,4),(3,6),(3,7),(4,5),(6,5)],8)
[5,4,7,3,6,8,2,1]=>([(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[3,4,7,2,6,5,1,8]=>([(0,7),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,8,3,2,5,6,1,7]=>([(0,7),(1,7),(2,6),(3,4),(3,7),(5,6),(7,5)],8)
[4,8,7,3,5,1,2,6]=>([(0,6),(1,5),(2,3),(2,4),(2,6),(5,7),(6,7)],8)
[4,8,7,1,3,5,2,6]=>([(0,4),(0,5),(1,2),(1,3),(1,7),(4,7),(5,6),(7,6)],8)
[4,8,3,1,2,6,5,7]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(2,7),(4,6),(4,7),(6,5),(7,5)],8)
[3,4,7,1,6,2,5,8]=>([(0,3),(0,6),(1,4),(2,7),(3,5),(4,2),(4,5),(4,6),(5,7),(6,7)],8)
[3,4,7,1,6,2,8,5]=>([(0,3),(0,6),(1,4),(2,7),(3,5),(3,7),(4,2),(4,5),(4,6),(6,7)],8)
[3,4,7,2,6,5,8,1]=>([(1,5),(1,6),(2,3),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,8,3,1,2,6,7,5]=>([(0,6),(0,7),(1,5),(2,3),(2,6),(2,7),(5,6),(5,7),(7,4)],8)
[5,8,1,6,3,4,2,7]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,7),(3,7),(5,2),(6,7)],8)
[6,8,5,1,3,7,2,4]=>([(0,7),(1,3),(1,7),(2,4),(2,5),(4,6),(5,6),(5,7)],8)
[6,8,5,1,3,4,7,2]=>([(0,7),(1,4),(1,7),(2,3),(2,6),(5,7),(6,5)],8)
[5,8,3,4,2,6,7,1]=>([(1,7),(2,5),(3,4),(3,7),(5,7),(7,6)],8)
[5,4,7,3,6,2,8,1]=>([(1,7),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[5,4,7,2,6,1,8,3]=>([(0,4),(0,7),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7)],8)
[6,4,3,7,5,1,2,8]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,7),(5,7),(6,7)],8)
[6,4,3,7,5,1,8,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,4,3,1,5,8,7]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(7,5),(7,6)],8)
[3,8,7,4,1,5,2,6]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(4,7),(5,6),(7,6)],8)
[2,4,7,3,6,1,5,8]=>([(0,7),(1,3),(1,4),(2,6),(3,5),(3,7),(4,2),(4,5),(4,7),(5,6),(7,6)],8)
[5,8,3,2,1,6,4,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(6,5),(7,5)],8)
[5,8,7,4,3,1,2,6]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(3,7),(6,7)],8)
[5,4,7,3,6,2,1,8]=>([(0,7),(1,7),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,3,8,2,1,6,5,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(3,4),(3,5),(3,6),(3,7)],8)
[7,4,3,8,5,2,1,6]=>([(0,7),(1,7),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7)],8)
[6,5,2,8,4,3,1,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[4,3,2,8,6,5,1,7]=>([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[4,3,8,7,5,1,6,2]=>([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(7,4)],8)
[3,2,5,8,6,1,4,7]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(4,6),(5,3),(5,4),(7,6)],8)
[8,4,3,7,5,2,6,1]=>([(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
[4,3,7,8,5,1,2,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(4,7),(5,7),(6,3)],8)
[5,3,7,8,4,1,2,6]=>([(0,6),(0,7),(1,3),(2,4),(2,6),(3,7),(4,7),(6,5)],8)
[6,2,5,8,3,1,4,7]=>([(0,6),(1,5),(1,7),(2,3),(2,4),(3,6),(4,5),(4,7),(6,7)],8)
[6,2,4,8,3,1,5,7]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(3,7),(4,6),(4,7),(7,5)],8)
[5,2,3,8,4,1,6,7]=>([(0,7),(1,6),(1,7),(2,4),(4,5),(4,6),(5,7),(7,3)],8)
[5,3,8,7,4,1,6,2]=>([(0,5),(0,6),(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(4,7)],8)
[5,3,2,8,6,4,1,7]=>([(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(6,7)],8)
[7,5,3,8,4,2,1,6]=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[8,7,5,3,6,2,4,1]=>([(3,7),(4,6),(5,6),(5,7)],8)
[8,6,5,3,7,2,4,1]=>([(2,7),(3,7),(4,6),(5,6),(5,7)],8)
[7,5,4,3,8,2,6,1]=>([(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,5,3,8,2,7,1]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[7,4,6,3,8,2,5,1]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[7,5,6,3,8,2,4,1]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(5,7)],8)
[8,5,6,3,7,2,4,1]=>([(2,6),(3,6),(3,7),(4,5),(5,7)],8)
[7,4,6,3,5,2,8,1]=>([(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,4,6,3,5,2,7,1]=>([(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,4,7,3,5,2,6,1]=>([(2,7),(3,6),(4,5),(4,6),(6,7)],8)
[8,5,7,3,4,2,6,1]=>([(2,7),(3,6),(4,5),(4,7),(6,7)],8)
[7,5,8,4,3,2,6,1]=>([(1,7),(2,7),(3,7),(4,6),(5,6),(5,7)],8)
[6,5,8,4,3,2,7,1]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,8,3,4,2,7,1]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,7)],8)
[7,5,8,3,4,2,6,1]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(5,7)],8)
[7,5,8,4,6,2,3,1]=>([(1,7),(2,6),(3,6),(3,7),(4,5)],8)
[7,4,8,3,6,2,5,1]=>([(1,7),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7)],8)
[7,4,8,3,5,2,6,1]=>([(1,7),(2,5),(3,6),(4,5),(4,6),(6,7)],8)
[6,4,8,3,5,2,7,1]=>([(1,7),(2,6),(3,5),(3,7),(4,5),(4,6),(6,7)],8)
[6,4,7,3,5,2,8,1]=>([(1,7),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
[5,4,8,3,7,2,6,1]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,5,8,3,7,2,4,1]=>([(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,5,8,4,7,2,3,1]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5)],8)
[6,5,8,4,7,3,2,1]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,7,3,8,2,5,1]=>([(1,7),(2,6),(2,7),(3,5),(4,5),(4,7),(5,6)],8)
[5,4,7,3,8,2,6,1]=>([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[5,4,6,3,8,2,7,1]=>([(1,7),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8)
[5,3,6,2,4,7,8,1]=>([(1,6),(2,5),(3,5),(3,6),(5,7),(6,7),(7,4)],8)
[5,3,6,1,4,8,7,2]=>([(0,6),(1,3),(1,7),(2,6),(2,7),(6,4),(6,5),(7,4),(7,5)],8)
[5,3,7,2,4,6,8,1]=>([(1,5),(2,4),(2,6),(3,4),(3,5),(4,7),(5,6),(6,7)],8)
[4,3,1,5,6,8,7,2]=>([(0,7),(1,7),(2,5),(2,7),(6,3),(6,4),(7,6)],8)
[4,2,1,5,8,6,3,7]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(4,6),(5,6),(7,3),(7,4)],8)
[4,2,1,5,8,6,7,3]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(4,5),(7,3),(7,4)],8)
[4,2,1,5,8,7,6,3]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(7,3),(7,4),(7,5)],8)
[4,3,1,5,7,8,6,2]=>([(0,7),(1,7),(2,4),(2,7),(6,3),(7,5),(7,6)],8)
[4,3,1,7,5,8,6,2]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(6,5),(7,3),(7,5)],8)
[6,7,3,1,4,8,2,5]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,7),(5,6),(5,7)],8)
[5,3,7,1,4,8,2,6]=>([(0,4),(0,7),(1,4),(1,5),(2,3),(2,5),(3,7),(4,6),(5,6),(5,7)],8)
[4,3,1,5,7,8,2,6]=>([(0,7),(1,7),(2,4),(2,7),(3,5),(4,6),(7,3),(7,6)],8)
[3,2,1,8,5,4,6,7]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(4,3),(6,4),(7,4)],8)
[3,2,1,8,5,7,4,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,4),(7,3),(7,4)],8)
[3,2,1,8,7,5,4,6]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3),(7,3)],8)
[5,2,7,1,8,4,3,6]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3)],8)
[6,7,2,1,8,4,3,5]=>([(0,4),(0,5),(0,7),(1,4),(1,5),(1,7),(2,3),(3,7),(4,6),(5,6)],8)
[6,7,2,1,8,4,5,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,7),(6,3)],8)
[3,2,1,8,5,6,4,7]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(6,4),(7,3)],8)
[3,2,1,8,6,5,4,7]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(5,3),(6,3),(7,3)],8)
[4,3,1,6,7,8,5,2]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(4,5),(7,4)],8)
[4,2,1,6,8,7,5,3]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(7,3),(7,4)],8)
[4,2,1,6,8,5,7,3]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(6,5),(7,3),(7,5)],8)
[4,2,1,6,8,5,3,7]=>([(0,5),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(4,6),(5,6),(7,3),(7,6)],8)
[5,2,6,1,8,4,3,7]=>([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3),(6,7)],8)
[5,2,6,1,8,7,4,3]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(7,3),(7,4)],8)
[5,2,6,1,8,7,3,4]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(6,3),(7,4),(7,5)],8)
[5,2,6,1,8,3,4,7]=>([(0,7),(1,5),(1,6),(2,6),(2,7),(3,4),(6,3),(7,4),(7,5)],8)
[4,2,1,6,8,3,7,5]=>([(0,4),(0,7),(1,4),(1,7),(2,5),(2,7),(4,5),(4,6),(7,3),(7,6)],8)
[4,3,1,6,7,8,2,5]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(3,7),(4,5),(6,4)],8)
[6,7,3,1,5,8,2,4]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(3,6),(4,7),(5,7)],8)
[4,2,1,7,8,6,3,5]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(4,5),(7,3)],8)
[3,2,1,8,7,6,4,5]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[3,2,1,8,6,4,7,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,4),(7,3),(7,4)],8)
[3,2,1,8,6,4,5,7]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(6,4),(7,3)],8)
[3,2,1,8,4,6,5,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(7,3),(7,4)],8)
[3,2,1,8,4,6,7,5]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(4,5),(7,3),(7,4)],8)
[3,2,1,8,4,7,6,5]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(7,3),(7,4),(7,5)],8)
[3,2,1,8,7,4,6,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(7,3),(7,4)],8)
[4,2,1,7,8,3,6,5]=>([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(4,5),(4,6),(7,3)],8)
[5,2,7,1,8,3,6,4]=>([(0,5),(0,7),(1,4),(1,6),(2,6),(2,7),(6,5),(7,3),(7,4)],8)
[6,7,2,1,8,3,5,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,7),(6,4),(6,5)],8)
[5,2,7,1,8,3,4,6]=>([(0,4),(0,6),(1,5),(1,7),(2,6),(2,7),(3,5),(6,3),(7,4)],8)
[4,2,1,7,8,3,5,6]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(5,6),(6,3),(7,4)],8)
[3,2,1,8,4,5,7,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(7,3)],8)
[7,5,2,8,6,3,4,1]=>([(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8)
[7,4,8,6,2,5,3,1]=>([(1,6),(2,5),(2,7),(3,4),(3,6),(3,7)],8)
[7,3,8,6,2,4,5,1]=>([(1,7),(2,6),(3,5),(3,6),(3,7),(7,4)],8)
[7,4,3,1,8,2,5,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,6),(6,5)],8)
[7,4,2,8,5,6,1,3]=>([(0,7),(1,6),(1,7),(2,5),(3,5),(3,6),(3,7),(6,4)],8)
[7,3,8,5,2,4,6,1]=>([(1,5),(2,6),(3,4),(3,5),(3,6),(4,7),(6,7)],8)
[7,3,8,4,5,6,2,1]=>([(2,7),(3,4),(3,7),(4,6),(6,5)],8)
[6,3,8,2,4,5,1,7]=>([(0,6),(1,7),(2,5),(2,6),(3,5),(3,7),(4,7),(6,4)],8)
[6,3,8,2,5,7,4,1]=>([(1,5),(1,7),(2,4),(2,6),(3,4),(3,5),(3,6),(6,7)],8)
[6,4,3,8,1,5,2,7]=>([(0,5),(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,7),(6,7)],8)
[6,3,7,8,2,4,1,5]=>([(0,6),(1,7),(2,5),(3,5),(3,7),(5,6),(7,4)],8)
[5,6,7,3,8,2,4,1]=>([(1,6),(2,6),(2,7),(3,4),(4,5),(5,7)],8)
[5,4,7,2,6,8,1,3]=>([(0,4),(1,4),(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(7,6)],8)
[5,3,8,2,4,6,7,1]=>([(1,6),(2,5),(2,7),(3,5),(3,6),(6,7),(7,4)],8)
[6,3,8,2,4,7,5,1]=>([(1,7),(2,5),(2,7),(3,5),(3,6),(7,4),(7,6)],8)
[5,7,4,2,6,8,1,3]=>([(0,7),(1,5),(2,5),(2,7),(3,4),(3,7),(4,6),(7,6)],8)
[6,4,8,2,7,5,1,3]=>([(0,4),(1,5),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8)
[6,5,3,1,4,2,7,8]=>([(0,7),(1,7),(2,6),(3,4),(3,6),(4,7),(6,7),(7,5)],8)
[5,7,4,2,6,1,3,8]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[5,6,4,2,3,8,1,7]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,3,7,8,2,4,1]=>([(1,6),(2,6),(2,7),(3,4),(4,7),(7,5)],8)
[5,6,3,8,2,4,7,1]=>([(1,5),(2,5),(2,6),(3,4),(4,6),(4,7),(5,7)],8)
[6,3,7,2,4,5,1,8]=>([(0,6),(1,7),(2,5),(3,5),(3,6),(4,7),(5,7),(6,4)],8)
[6,3,7,2,5,8,4,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[5,3,6,8,2,4,7,1]=>([(1,7),(2,5),(3,5),(3,7),(5,6),(7,4),(7,6)],8)
[5,4,6,2,3,8,1,7]=>([(0,7),(1,5),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,6,7,8,2,4,1]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(7,4)],8)
[3,6,4,2,1,5,8,7]=>([(0,7),(1,7),(2,3),(2,4),(3,7),(4,5),(4,6),(7,5),(7,6)],8)
[3,5,8,6,4,2,1,7]=>([(0,7),(1,7),(2,5),(2,6),(4,7),(5,7),(6,3),(6,4)],8)
[5,8,6,3,4,2,1,7]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(5,7),(6,7)],8)
[5,6,3,4,2,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,4,2,1,5,8,7]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(4,7),(7,5),(7,6)],8)
[5,6,4,2,1,3,8,7]=>([(0,6),(0,7),(1,5),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,4,1,7,8,6,3]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(7,2)],8)
[2,7,8,5,4,1,6,3]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,2)],8)
[2,8,5,4,1,6,3,7]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(3,7),(4,7),(6,5),(7,5)],8)
[2,6,3,8,5,4,1,7]=>([(0,7),(1,4),(1,5),(2,7),(3,7),(4,6),(4,7),(5,2),(5,3),(5,6)],8)
[2,8,6,3,5,4,1,7]=>([(0,7),(1,2),(1,5),(1,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[5,8,6,4,2,1,3,7]=>([(0,7),(1,6),(2,6),(3,4),(3,5),(5,7),(6,7)],8)
[4,2,1,5,7,8,6,3]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(4,5),(7,3),(7,4)],8)
[2,7,8,6,3,5,4,1]=>([(1,5),(1,6),(1,7),(6,4),(7,2),(7,3)],8)
[4,3,8,5,7,6,2,1]=>([(2,6),(2,7),(3,6),(3,7),(7,4),(7,5)],8)
[7,6,2,1,8,4,3,5]=>([(0,7),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
[2,1,8,5,6,4,3,7]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,7),(4,7),(5,7),(6,2)],8)
[4,2,1,8,5,6,3,7]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(4,5),(7,3)],8)
[8,4,2,1,5,6,3,7]=>([(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,6),(7,4)],8)
[2,5,6,3,8,4,1,7]=>([(0,7),(1,4),(1,5),(2,7),(3,6),(3,7),(4,3),(5,2),(5,6)],8)
[6,3,4,2,1,8,5,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(4,6),(4,7),(6,5)],8)
[3,7,8,5,6,4,2,1]=>([(2,5),(2,6),(2,7),(6,4),(7,3)],8)
[3,8,5,6,4,2,1,7]=>([(0,7),(1,7),(2,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)
[3,6,4,2,1,8,5,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(4,7),(6,5)],8)
[3,8,6,4,2,1,5,7]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(4,7),(5,6),(7,6)],8)
[3,7,8,6,4,2,1,5]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(5,7),(6,3)],8)
[8,5,3,7,6,2,4,1]=>([(2,7),(3,5),(3,6),(4,5),(4,6),(4,7)],8)
[7,6,2,4,1,8,5,3]=>([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7)],8)
[8,5,4,1,7,6,2,3]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8)
[7,6,2,3,8,5,4,1]=>([(1,4),(2,7),(3,7),(4,5),(4,6),(4,7)],8)
[2,1,7,8,6,4,3,5]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(5,2),(6,3),(7,3)],8)
[2,1,6,4,3,7,8,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,7),(5,3),(5,7),(6,3),(6,7),(7,2)],8)
[6,4,2,1,3,7,8,5]=>([(0,7),(1,6),(1,7),(2,5),(3,5),(5,6),(5,7),(7,4)],8)
[6,3,7,8,4,2,1,5]=>([(0,7),(1,7),(2,6),(3,4),(3,6),(4,7),(6,5)],8)
[7,8,4,2,1,6,3,5]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(5,6)],8)
[5,7,6,2,3,8,4,1]=>([(1,6),(2,4),(2,5),(4,7),(5,7),(6,3),(6,7)],8)
[2,6,1,8,4,3,7,5]=>([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,7),(5,3),(5,7),(6,3),(6,7)],8)
[2,6,1,7,5,8,4,3]=>([(0,2),(0,4),(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,6),(6,3),(7,3)],8)
[8,4,2,3,7,5,6,1]=>([(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)
[8,5,7,6,2,1,4,3]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5)],8)
[4,8,5,7,6,2,1,3]=>([(0,7),(1,7),(2,5),(2,6),(6,3),(6,4)],8)
[4,7,6,2,1,3,8,5]=>([(0,5),(1,5),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6),(5,7)],8)
[7,5,6,1,8,4,2,3]=>([(0,7),(1,5),(2,4),(2,6),(2,7),(5,7),(6,3)],8)
[2,7,5,8,4,3,6,1]=>([(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(5,6),(5,7)],8)
[2,8,4,3,6,1,7,5]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[6,4,7,8,3,2,1,5]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(4,7),(6,5)],8)
[6,4,3,7,5,2,1,8]=>([(0,7),(1,7),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[6,5,3,2,8,4,1,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7)],8)
[6,5,2,7,8,4,1,3]=>([(0,7),(1,7),(2,6),(3,4),(3,6),(3,7),(7,5)],8)
[6,4,3,2,5,8,1,7]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(7,5),(7,6)],8)
[6,3,7,2,5,4,1,8]=>([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[6,3,2,7,5,4,1,8]=>([(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[8,4,2,6,3,1,7,5]=>([(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(4,6),(4,7),(5,7)],8)
[1,5,3,7,4,2,8,6]=>([(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(4,1),(4,5),(5,7)],8)
[1,6,7,3,4,2,8,5]=>([(0,3),(0,4),(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,1),(5,2)],8)
[8,6,5,2,3,1,7,4]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[1,7,6,3,4,2,8,5]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(2,7),(3,7),(4,6),(4,7),(5,1)],8)
[1,8,6,3,2,5,7,4]=>([(0,1),(0,2),(0,3),(0,4),(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
[8,7,5,2,1,4,6,3]=>([(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
[7,8,5,2,1,4,6,3]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(6,7)],8)
[6,8,5,2,3,1,7,4]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,7),(5,6),(5,7)],8)
[5,8,6,2,3,1,7,4]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(4,7),(5,6),(5,7)],8)
[4,8,2,6,3,1,7,5]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6),(4,7),(5,7)],8)
[3,2,8,6,4,1,7,5]=>([(0,3),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,7),(6,3),(6,7)],8)
[3,2,1,7,5,4,8,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(5,4),(6,3),(6,4),(7,3),(7,4)],8)
[4,1,3,7,5,2,8,6]=>([(0,2),(0,3),(1,4),(1,6),(2,5),(2,7),(3,4),(3,6),(4,7),(6,5),(6,7)],8)
[5,1,7,3,4,2,8,6]=>([(0,5),(0,7),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,2),(5,6)],8)
[7,1,6,3,2,5,8,4]=>([(0,7),(1,2),(1,3),(1,4),(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
[1,2,7,4,3,6,8,5]=>([(0,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3),(6,7)],8)
[6,1,8,2,4,5,7,3]=>([(0,6),(0,7),(1,5),(1,7),(3,6),(4,3),(5,2),(5,4)],8)
[5,1,8,3,2,6,7,4]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(3,5),(3,7),(4,5),(4,7),(7,2)],8)
[3,2,8,7,1,5,6,4]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[4,8,2,7,1,5,6,3]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(7,4)],8)
[5,8,7,2,1,4,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(6,7)],8)
[6,8,7,1,3,4,5,2]=>([(0,3),(0,4),(1,5),(1,7),(6,2),(7,6)],8)
[7,8,6,1,3,4,5,2]=>([(1,5),(2,4),(2,7),(6,3),(7,6)],8)
[1,7,8,2,4,5,6,3]=>([(0,6),(0,7),(4,5),(5,3),(6,1),(7,2),(7,4)],8)
[8,6,7,1,3,4,5,2]=>([(1,5),(2,4),(2,7),(6,3),(7,6)],8)
[7,6,8,1,3,4,5,2]=>([(0,7),(1,7),(2,4),(2,6),(5,3),(6,5)],8)
[6,5,8,2,3,1,7,4]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(4,6),(4,7)],8)
[1,6,8,3,2,5,7,4]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,7),(6,7)],8)
[1,5,3,8,2,6,7,4]=>([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(7,1)],8)
[8,4,2,7,1,5,6,3]=>([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[7,4,2,8,1,5,6,3]=>([(0,6),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[6,4,2,8,3,1,7,5]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7)],8)
[5,4,2,3,8,1,7,6]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[4,5,2,3,1,6,8,7]=>([(0,7),(1,6),(2,5),(5,7),(6,7),(7,3),(7,4)],8)
[7,4,2,1,3,6,8,5]=>([(0,4),(1,4),(2,5),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[8,4,2,1,3,6,7,5]=>([(1,6),(1,7),(2,5),(3,5),(5,6),(5,7),(7,4)],8)
[1,5,3,2,4,7,8,6]=>([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7),(7,1)],8)
[8,5,1,3,2,6,7,4]=>([(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[5,6,1,3,4,2,8,7]=>([(0,4),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[4,6,2,1,5,3,8,7]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,2,1,3,6,8,5]=>([(0,7),(1,7),(2,3),(2,4),(2,6),(3,5),(6,5),(7,4),(7,6)],8)
[5,7,1,3,2,6,8,4]=>([(0,4),(0,7),(1,2),(1,3),(2,5),(2,7),(3,5),(3,7),(4,6),(7,6)],8)
[6,7,1,2,4,5,8,3]=>([(0,4),(1,6),(3,7),(4,7),(5,3),(6,2),(6,5)],8)
[8,6,1,2,4,5,7,3]=>([(1,7),(2,6),(4,7),(5,4),(6,3),(6,5)],8)
[1,8,2,3,5,6,7,4]=>([(0,3),(0,6),(4,5),(5,2),(6,7),(7,1),(7,4)],8)
[8,7,1,2,4,5,6,3]=>([(2,7),(5,6),(6,4),(7,3),(7,5)],8)
[7,8,1,2,4,5,6,3]=>([(0,4),(1,7),(5,6),(6,3),(7,2),(7,5)],8)
[5,8,1,3,2,6,7,4]=>([(0,5),(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(7,2)],8)
[4,8,2,1,3,6,7,5]=>([(0,5),(1,5),(2,4),(2,6),(2,7),(5,6),(5,7),(7,3)],8)
[4,1,3,2,5,7,8,6]=>([(0,7),(1,3),(1,4),(3,7),(4,7),(6,2),(7,5),(7,6)],8)
[5,1,2,4,3,7,8,6]=>([(0,6),(0,7),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3),(5,4),(7,2)],8)
[5,4,8,1,2,3,7,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(4,6),(4,7)],8)
[1,4,7,6,3,2,5,8]=>([(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(5,6),(6,7)],8)
[4,8,3,2,7,6,1,5]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[4,3,8,2,7,1,6,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[4,3,2,8,1,7,6,5]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[4,1,8,7,3,2,5,6]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(2,7),(3,7),(7,4)],8)
[4,7,8,1,2,5,3,6]=>([(0,5),(1,4),(1,7),(3,6),(4,2),(5,3),(5,7),(7,6)],8)
[2,3,6,7,4,1,8,5]=>([(0,6),(0,7),(1,5),(2,7),(3,6),(3,7),(4,2),(5,3),(5,4)],8)
[2,6,3,4,7,8,1,5]=>([(0,6),(1,3),(1,5),(3,7),(4,6),(4,7),(5,4),(7,2)],8)
[3,1,7,8,4,2,5,6]=>([(0,5),(0,7),(1,3),(1,5),(1,7),(3,6),(5,6),(6,4),(7,2)],8)
[3,7,8,2,6,4,1,5]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,7)],8)
[3,7,2,4,8,6,1,5]=>([(0,6),(1,5),(2,4),(2,6),(4,7),(6,3),(6,5),(6,7)],8)
[1,3,6,4,7,2,5,8]=>([(0,3),(0,4),(1,5),(2,5),(2,6),(3,6),(4,1),(4,2),(5,7),(6,7)],8)
[4,7,1,5,8,2,3,6]=>([(0,3),(0,7),(1,4),(1,7),(2,5),(3,6),(4,2),(7,5),(7,6)],8)
[2,6,7,3,8,4,1,5]=>([(0,7),(1,4),(1,5),(2,7),(3,6),(4,3),(5,2),(5,6)],8)
[8,7,5,2,6,3,4,1]=>([(3,7),(4,5),(4,7),(5,6)],8)
[8,6,5,2,7,3,4,1]=>([(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[7,4,8,5,6,3,2,1]=>([(3,7),(4,5),(4,7),(5,6)],8)
[3,4,6,7,8,5,1,2]=>([(0,4),(1,7),(5,6),(6,3),(7,2),(7,5)],8)
[1,2,6,4,7,5,8,3]=>([(0,5),(2,7),(3,6),(4,2),(4,6),(5,1),(5,3),(5,4),(6,7)],8)
[3,1,7,5,4,2,6,8]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,7),(4,7),(5,7),(6,3),(7,3)],8)
[6,3,8,5,4,7,1,2]=>([(0,6),(0,7),(1,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[1,6,2,5,4,7,8,3]=>([(0,5),(0,6),(2,7),(3,7),(5,7),(6,1),(6,2),(6,3),(7,4)],8)
[1,8,2,5,6,3,7,4]=>([(0,3),(0,6),(2,7),(4,2),(5,1),(5,7),(6,4),(6,5)],8)
[1,2,6,4,8,5,7,3]=>([(0,5),(2,6),(3,6),(3,7),(4,2),(4,7),(5,1),(5,3),(5,4)],8)
[7,8,3,1,4,2,5,6]=>([(0,6),(1,3),(2,4),(2,6),(4,7),(6,7),(7,5)],8)
[4,8,1,5,2,3,6,7]=>([(0,4),(0,6),(1,5),(1,6),(3,7),(5,3),(6,7),(7,2)],8)
[7,4,1,5,2,3,6,8]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,7),(5,7),(7,6)],8)
[5,6,1,8,4,3,2,7]=>([(0,5),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(5,6),(5,7)],8)
[5,1,8,6,4,3,2,7]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(6,7)],8)
[5,1,6,3,8,7,2,4]=>([(0,7),(1,2),(1,3),(1,7),(2,6),(3,4),(3,5),(3,6),(7,4),(7,5)],8)
[6,1,2,5,8,3,7,4]=>([(0,6),(0,7),(1,5),(3,6),(3,7),(4,2),(4,7),(5,3),(5,4)],8)
[6,1,8,7,4,3,2,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7)],8)
[7,1,2,5,4,8,6,3]=>([(0,7),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3),(5,4)],8)
[1,2,7,5,8,3,6,4]=>([(0,5),(2,6),(3,6),(3,7),(4,1),(4,7),(5,2),(5,3),(5,4)],8)
[4,1,6,3,7,5,2,8]=>([(0,2),(0,3),(0,6),(1,5),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7),(6,4)],8)
[1,3,6,7,8,5,2,4]=>([(0,3),(0,6),(3,7),(4,5),(5,2),(6,1),(6,4),(6,7)],8)
[1,2,6,4,7,8,5,3]=>([(0,6),(3,7),(5,2),(5,7),(6,1),(6,3),(6,5),(7,4)],8)
[4,1,6,3,7,8,2,5]=>([(0,5),(0,7),(1,3),(1,4),(1,5),(3,7),(4,6),(4,7),(5,6),(6,2)],8)
[3,1,6,4,8,2,7,5]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,7),(5,3),(5,7),(6,3),(6,4),(6,7)],8)
[7,8,4,1,6,3,2,5]=>([(0,6),(0,7),(1,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[4,1,6,3,8,7,2,5]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(2,7),(3,4),(3,5),(3,7),(6,4),(6,5)],8)
[7,5,1,8,4,3,2,6]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7)],8)
[6,5,1,7,4,3,2,8]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[4,1,8,5,2,3,7,6]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(3,4),(3,5),(7,4),(7,5)],8)
[4,1,6,8,3,7,2,5]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(3,7),(4,5),(4,7),(6,2),(6,5)],8)
[5,4,6,1,3,8,2,7]=>([(0,5),(1,5),(2,3),(2,4),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,8,1,4,3,2,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7)],8)
[1,3,5,7,4,6,8,2]=>([(0,3),(0,5),(1,7),(2,6),(4,1),(4,6),(5,2),(5,4),(6,7)],8)
[1,3,5,4,7,2,6,8]=>([(0,3),(0,4),(1,5),(1,7),(2,5),(2,7),(3,7),(4,1),(4,2),(5,6),(7,6)],8)
[1,3,5,4,7,8,2,6]=>([(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(4,7),(5,1),(5,2),(6,3)],8)
[1,3,5,4,7,2,8,6]=>([(0,3),(0,4),(1,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,1),(4,2),(5,6)],8)
[1,3,5,7,4,8,2,6]=>([(0,3),(0,5),(1,6),(2,6),(2,7),(3,7),(4,1),(4,7),(5,2),(5,4)],8)
[1,3,5,7,4,8,6,2]=>([(0,3),(0,5),(1,6),(2,6),(2,7),(4,1),(4,7),(5,2),(5,4)],8)
[1,3,5,7,8,4,2,6]=>([(0,3),(0,6),(2,7),(3,7),(4,1),(5,4),(5,7),(6,2),(6,5)],8)
[1,6,3,2,7,4,8,5]=>([(0,2),(0,3),(0,4),(2,7),(3,6),(3,7),(4,6),(4,7),(6,1),(6,5),(7,5)],8)
[3,5,1,6,2,8,7,4]=>([(0,3),(0,7),(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(7,4),(7,5)],8)
[1,3,7,2,5,4,8,6]=>([(0,2),(0,3),(1,7),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,7,5,2,4,8,6]=>([(0,3),(0,4),(1,7),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,6),(5,7)],8)
[2,5,7,4,3,8,1,6]=>([(0,7),(1,3),(1,4),(1,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,2),(5,7)],8)
[2,5,3,7,4,8,1,6]=>([(0,7),(1,3),(1,4),(2,6),(2,7),(3,5),(3,7),(4,2),(4,5),(5,6)],8)
[3,2,6,7,8,1,5,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(5,3)],8)
[3,5,2,7,8,4,1,6]=>([(0,7),(1,5),(1,6),(2,4),(2,5),(4,6),(4,7),(5,7),(6,3)],8)
[1,5,7,4,8,3,2,6]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,6),(4,7),(5,1),(5,7)],8)
[3,5,2,6,8,4,7,1]=>([(1,5),(1,7),(2,3),(2,5),(3,7),(5,6),(7,4),(7,6)],8)
[2,5,7,4,3,8,6,1]=>([(1,3),(1,4),(1,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,2),(5,7)],8)
[1,5,7,2,4,8,6,3]=>([(0,4),(0,5),(2,6),(3,6),(3,7),(4,2),(4,7),(5,1),(5,3)],8)
[4,6,3,7,2,8,5,1]=>([(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(6,5)],8)
[1,4,7,3,8,6,2,5]=>([(0,2),(0,3),(0,4),(1,5),(2,7),(3,5),(3,6),(3,7),(4,1),(4,6),(4,7)],8)
[5,1,6,8,2,4,3,7]=>([(0,6),(1,5),(1,6),(2,7),(3,7),(5,2),(5,3),(6,4),(6,7)],8)
[5,3,7,8,2,4,1,6]=>([(0,7),(1,6),(1,7),(2,5),(3,5),(3,6),(5,7),(6,4)],8)
[8,5,3,7,2,4,1,6]=>([(1,7),(2,6),(3,5),(3,7),(4,5),(4,6),(6,7)],8)
[8,2,4,7,3,1,5,6]=>([(1,7),(2,4),(2,6),(4,7),(6,3),(6,7),(7,5)],8)
[2,4,7,8,3,1,5,6]=>([(0,7),(1,3),(1,6),(3,7),(5,2),(6,5),(6,7),(7,4)],8)
[6,3,1,5,8,2,4,7]=>([(0,5),(0,7),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(4,7),(6,7)],8)
[6,5,3,4,2,8,1,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[5,2,4,3,8,1,6,7]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[3,2,4,8,1,5,6,7]=>([(0,7),(1,6),(2,6),(4,5),(6,3),(6,7),(7,4)],8)
[3,2,4,6,8,1,5,7]=>([(0,6),(1,6),(2,5),(3,4),(3,7),(5,7),(6,3),(6,5)],8)
[8,1,5,7,3,2,4,6]=>([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,7),(6,7)],8)
[8,4,6,7,2,3,1,5]=>([(1,7),(2,5),(3,4),(3,7),(4,6),(5,7)],8)
[4,6,7,8,2,3,1,5]=>([(0,7),(1,4),(2,6),(2,7),(4,7),(5,3),(6,5)],8)
[7,4,6,8,2,3,1,5]=>([(0,7),(1,6),(2,4),(3,5),(3,7),(4,7),(5,6)],8)
[7,2,4,8,3,1,5,6]=>([(0,7),(1,6),(2,3),(2,5),(3,7),(5,6),(5,7),(7,4)],8)
[5,3,8,7,2,4,1,6]=>([(0,7),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(6,7)],8)
[2,4,8,7,3,1,5,6]=>([(0,7),(1,4),(1,6),(4,7),(6,2),(6,3),(6,7),(7,5)],8)
[4,6,8,7,2,3,1,5]=>([(0,7),(1,5),(2,6),(2,7),(5,7),(6,3),(6,4)],8)
[8,7,4,6,2,3,1,5]=>([(2,7),(3,6),(4,5),(4,7),(6,7)],8)
[5,6,8,7,2,3,1,4]=>([(0,7),(1,5),(2,6),(5,7),(6,3),(6,4)],8)
[6,4,8,7,2,3,1,5]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(4,7)],8)
[3,1,7,4,2,8,6,5]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,7),(5,7),(6,3),(6,4),(6,7)],8)
[3,2,8,4,1,7,6,5]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(7,3),(7,4),(7,5)],8)
[7,6,4,8,2,3,1,5]=>([(0,7),(1,6),(2,6),(3,6),(3,7),(4,5),(5,7)],8)
[5,7,6,8,2,3,1,4]=>([(0,6),(1,5),(2,3),(2,4),(3,7),(4,7),(5,6)],8)
[4,7,6,8,2,3,1,5]=>([(0,7),(1,3),(2,4),(2,5),(2,7),(3,7),(4,6),(5,6)],8)
[8,6,4,7,2,3,1,5]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(5,7)],8)
[8,2,3,7,4,1,6,5]=>([(1,3),(2,6),(2,7),(3,4),(3,5),(5,6),(5,7)],8)
[2,3,7,8,4,1,6,5]=>([(0,6),(0,7),(1,5),(3,6),(3,7),(4,2),(5,3),(5,4)],8)
[3,7,4,8,2,5,1,6]=>([(0,6),(1,5),(2,3),(2,4),(3,7),(4,6),(4,7),(6,5)],8)
[2,3,7,4,1,6,8,5]=>([(0,6),(0,7),(1,4),(2,5),(3,6),(3,7),(4,2),(4,3),(7,5)],8)
[8,1,6,4,2,3,7,5]=>([(1,2),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,3)],8)
[4,7,8,6,2,3,1,5]=>([(0,7),(1,5),(2,4),(2,6),(2,7),(5,7),(6,3)],8)
[2,4,7,3,1,5,8,6]=>([(0,7),(1,2),(1,5),(2,7),(4,6),(5,4),(5,7),(7,3),(7,6)],8)
[6,3,1,7,4,2,8,5]=>([(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
[8,5,7,6,2,3,1,4]=>([(1,7),(2,6),(3,4),(3,5),(6,7)],8)
[7,5,8,6,2,3,1,4]=>([(0,7),(1,6),(2,5),(3,4),(3,6),(5,7)],8)
[7,1,6,4,2,3,8,5]=>([(0,7),(1,2),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,3)],8)
[3,1,7,6,4,2,8,5]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,7),(4,7),(5,7),(6,3),(6,7)],8)
[4,8,7,6,2,3,1,5]=>([(0,7),(1,6),(2,3),(2,4),(2,5),(2,7),(6,7)],8)
[6,8,7,5,2,3,1,4]=>([(1,7),(2,6),(3,4),(3,5),(6,7)],8)
[4,3,6,1,5,8,7,2]=>([(0,4),(0,7),(1,4),(1,7),(2,3),(2,7),(4,5),(4,6),(7,5),(7,6)],8)
[4,3,6,5,1,8,7,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(2,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,3,5,1,8,7,2]=>([(0,5),(1,3),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,3,1,5,8,7,2]=>([(0,7),(1,3),(1,7),(2,4),(2,7),(4,5),(4,6),(7,5),(7,6)],8)
[4,1,6,5,3,8,7,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,1,5,3,8,7,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,5,3,1,8,7,4]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[2,6,5,1,8,7,3,4]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(5,4)],8)
[2,6,5,8,1,7,3,4]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(3,5),(3,7),(4,5),(4,7),(6,2)],8)
[2,6,5,8,1,3,7,4]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(3,7),(4,5),(4,7),(6,2),(6,7)],8)
[2,6,5,8,3,1,7,4]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7)],8)
[2,6,5,3,8,1,7,4]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,6,1,5,8,3,7,2]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(3,7),(4,5),(4,7),(6,5),(6,7)],8)
[4,1,6,5,8,3,7,2]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(3,7),(5,4),(5,7),(6,4),(6,7)],8)
[1,4,6,5,8,3,7,2]=>([(0,3),(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(4,7),(5,1),(5,2)],8)
[4,1,6,5,8,7,3,2]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(6,4),(6,5),(7,4),(7,5)],8)
[2,6,5,3,8,7,1,4]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,4,3,8,7,1,5,2]=>([(0,5),(0,6),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7)],8)
[6,4,8,3,7,1,5,2]=>([(0,6),(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,7)],8)
[2,6,8,5,3,7,1,4]=>([(0,6),(1,3),(1,4),(1,5),(3,7),(4,6),(4,7),(5,2),(5,7)],8)
[4,6,8,1,5,7,3,2]=>([(0,5),(0,7),(1,3),(1,4),(1,7),(5,2),(5,6),(7,6)],8)
[4,6,1,8,5,7,3,2]=>([(0,4),(0,7),(1,2),(1,3),(1,6),(1,7),(4,5),(4,6),(7,5)],8)
[4,1,6,8,5,7,3,2]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(6,5),(7,2),(7,5)],8)
[1,4,6,8,5,7,3,2]=>([(0,3),(0,4),(0,6),(2,7),(5,1),(5,7),(6,2),(6,5)],8)
[1,4,6,8,5,3,7,2]=>([(0,3),(0,4),(0,6),(2,7),(4,7),(5,1),(5,7),(6,2),(6,5)],8)
[4,6,1,8,5,3,7,2]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(3,7),(4,5),(4,7),(6,7)],8)
[2,6,8,5,3,1,7,4]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(3,7),(4,6),(4,7),(5,2),(5,7)],8)
[2,6,8,5,1,7,3,4]=>([(0,6),(0,7),(1,3),(1,5),(1,6),(3,7),(5,2),(5,7),(6,4)],8)
[4,6,8,3,5,1,7,2]=>([(0,6),(1,3),(1,7),(2,4),(2,6),(4,5),(4,7),(6,7)],8)
[4,6,8,3,1,5,7,2]=>([(0,7),(1,3),(1,7),(2,4),(2,7),(4,5),(4,6),(7,6)],8)
[4,6,3,1,8,5,7,2]=>([(0,6),(0,7),(1,4),(1,6),(2,3),(2,6),(2,7),(4,5),(4,7),(6,5)],8)
[4,6,3,8,1,5,7,2]=>([(0,5),(0,7),(1,3),(1,7),(2,4),(2,7),(4,5),(4,6),(7,6)],8)
[4,6,3,8,5,7,1,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(4,6),(4,7),(5,7)],8)
[4,3,6,8,1,5,7,2]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,7),(6,3),(6,5),(7,5)],8)
[4,3,6,1,8,5,7,2]=>([(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,7),(4,5),(4,6),(7,6)],8)
[4,3,1,6,8,5,7,2]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(6,5),(7,3),(7,5)],8)
[4,1,3,6,8,7,5,2]=>([(0,6),(0,7),(1,4),(1,5),(5,6),(5,7),(7,2),(7,3)],8)
[4,3,6,1,8,7,5,2]=>([(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(4,5),(4,6)],8)
[4,3,6,8,1,7,5,2]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(6,3),(6,5)],8)
[6,5,2,8,7,3,1,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7),(4,5)],8)
[6,5,2,8,7,1,3,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(3,6),(3,7),(5,4)],8)
[6,2,5,8,7,1,3,4]=>([(0,5),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(5,3)],8)
[6,2,5,8,7,3,1,4]=>([(0,5),(1,6),(1,7),(2,3),(2,4),(3,5),(4,6),(4,7)],8)
[4,6,3,8,1,7,5,2]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(2,3),(2,6),(2,7),(4,5),(4,7)],8)
[4,6,3,1,8,7,5,2]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(2,3),(2,5),(2,6),(2,7),(4,6),(4,7)],8)
[4,1,6,3,8,7,5,2]=>([(0,2),(0,3),(0,7),(1,6),(1,7),(3,4),(3,5),(3,6),(7,4),(7,5)],8)
[1,4,6,3,8,7,5,2]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(3,5),(3,6),(3,7),(4,1),(4,7)],8)
[4,1,6,8,3,7,5,2]=>([(0,6),(0,7),(1,3),(1,4),(1,7),(4,5),(4,6),(7,2),(7,5)],8)
[4,6,1,8,3,7,5,2]=>([(0,4),(0,7),(1,2),(1,3),(1,6),(3,5),(3,7),(4,5),(4,6)],8)
[4,6,8,1,3,7,5,2]=>([(0,5),(0,7),(1,3),(1,4),(4,6),(4,7),(5,2),(5,6)],8)
[6,2,8,5,7,3,1,4]=>([(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(3,6),(4,7)],8)
[6,2,8,5,7,1,3,4]=>([(0,6),(1,5),(1,7),(2,4),(2,5),(2,6),(4,7),(6,3)],8)
[2,4,8,7,1,5,3,6]=>([(0,6),(0,7),(1,4),(1,7),(4,2),(4,3),(4,6),(6,5),(7,5)],8)
[4,2,8,7,5,3,1,6]=>([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(6,7)],8)
[6,4,1,8,7,5,3,2]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[6,1,4,8,7,5,3,2]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(5,2),(5,6),(5,7)],8)
[1,6,4,8,7,3,5,2]=>([(0,1),(0,2),(0,3),(0,4),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7)],8)
[6,4,1,8,7,3,5,2]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(4,5)],8)
[4,2,8,7,5,1,3,6]=>([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(6,3),(7,3)],8)
[2,4,8,7,3,5,1,6]=>([(0,7),(1,4),(1,5),(4,6),(5,2),(5,3),(5,6),(6,7)],8)
[2,3,4,7,8,5,6,1]=>([(1,6),(4,3),(5,2),(6,7),(7,4),(7,5)],8)
[2,3,7,1,4,8,6,5]=>([(0,7),(1,5),(4,6),(5,4),(5,7),(7,2),(7,3),(7,6)],8)
[2,6,1,3,7,8,5,4]=>([(0,7),(1,4),(1,7),(4,6),(6,5),(7,2),(7,3),(7,6)],8)
[1,5,3,2,6,4,7,8]=>([(0,2),(0,3),(0,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,1),(7,6)],8)
[1,5,3,2,6,7,4,8]=>([(0,2),(0,3),(0,4),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(7,1)],8)
[1,7,3,2,8,5,4,6]=>([(0,1),(0,2),(0,3),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
[1,3,2,7,5,4,8,6]=>([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,3),(5,7),(6,3),(6,7)],8)
[6,5,2,4,3,7,1,8]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[6,4,2,5,3,7,1,8]=>([(0,7),(1,5),(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[5,4,7,6,2,3,1,8]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(4,7),(5,7),(6,7)],8)
[3,6,4,8,2,1,5,7]=>([(0,7),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(7,5)],8)
[1,6,2,8,5,3,4,7]=>([(0,3),(0,5),(1,7),(2,7),(3,6),(3,7),(4,2),(5,1),(5,4),(5,6)],8)
[4,6,2,3,7,5,1,8]=>([(0,7),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,7,2,3,6,5,1,8]=>([(0,7),(1,4),(2,3),(2,5),(2,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,7,2,3,5,6,1,8]=>([(0,7),(1,4),(2,3),(2,6),(3,7),(4,6),(5,7),(6,5)],8)
[5,3,2,7,4,6,1,8]=>([(0,7),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(5,7),(6,7)],8)
[5,3,2,6,4,7,1,8]=>([(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(4,6),(6,5),(7,6)],8)
[4,6,2,3,5,7,1,8]=>([(0,5),(1,4),(2,3),(2,6),(3,7),(4,6),(6,7),(7,5)],8)
[3,5,2,1,6,8,4,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(3,7),(6,5),(7,4),(7,5)],8)
[1,5,2,6,8,4,3,7]=>([(0,4),(0,5),(1,7),(2,7),(4,6),(5,1),(5,2),(5,6),(6,3),(6,7)],8)
[1,5,7,2,8,4,3,6]=>([(0,4),(0,5),(1,7),(2,7),(3,6),(4,3),(4,7),(5,1),(5,2),(5,6)],8)
[3,5,2,1,8,6,4,7]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(3,6),(3,7),(5,4),(7,4)],8)
[3,6,8,4,2,1,5,7]=>([(0,7),(1,7),(2,3),(2,4),(3,7),(4,5),(4,6),(7,6)],8)
[4,3,2,6,1,8,5,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(6,4),(6,5),(7,5)],8)
[1,5,8,2,7,4,3,6]=>([(0,4),(0,5),(2,7),(3,7),(4,1),(4,6),(4,7),(5,2),(5,3),(5,6)],8)
[1,7,2,3,4,8,6,5]=>([(0,3),(0,5),(3,7),(4,6),(5,4),(6,1),(6,2),(6,7)],8)
[6,8,2,3,4,1,7,5]=>([(0,6),(0,7),(1,4),(2,3),(2,7),(4,5),(5,6),(5,7)],8)
[4,1,8,2,3,5,7,6]=>([(0,6),(0,7),(1,5),(1,6),(4,7),(5,4),(7,2),(7,3)],8)
[2,3,1,8,4,5,7,6]=>([(0,6),(0,7),(1,4),(4,6),(4,7),(5,2),(5,3),(7,5)],8)
[7,3,2,1,4,5,8,6]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(7,4)],8)
[7,8,1,4,3,5,2,6]=>([(0,5),(1,2),(1,3),(1,4),(2,7),(3,6),(4,6),(6,7)],8)
[7,1,2,3,4,6,8,5]=>([(0,7),(1,5),(3,7),(4,6),(5,4),(6,2),(6,3)],8)
[6,1,2,3,4,8,7,5]=>([(0,6),(0,7),(1,4),(3,5),(4,3),(5,2),(5,6),(5,7)],8)
[1,8,2,3,4,7,6,5]=>([(0,4),(0,6),(5,7),(6,5),(7,1),(7,2),(7,3)],8)
[8,1,2,3,4,6,7,5]=>([(1,6),(4,7),(5,2),(6,4),(7,3),(7,5)],8)
[2,8,1,3,5,4,7,6]=>([(0,7),(1,2),(1,7),(3,5),(3,6),(4,5),(4,6),(7,3),(7,4)],8)
[8,7,1,4,3,5,2,6]=>([(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[8,3,2,1,4,5,7,6]=>([(1,7),(2,7),(3,7),(4,5),(4,6),(7,4)],8)
[3,8,2,1,5,6,4,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(4,5),(6,5),(7,4)],8)
[3,8,2,1,6,5,4,7]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(5,4),(6,4),(7,4)],8)
[1,7,8,3,5,4,2,6]=>([(0,4),(0,5),(0,6),(2,7),(3,7),(4,7),(5,1),(6,2),(6,3)],8)
[7,4,1,8,3,5,2,6]=>([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(4,5),(5,6)],8)
[8,4,1,7,3,5,2,6]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,6),(6,7)],8)
[3,8,4,6,2,1,5,7]=>([(0,7),(1,7),(2,3),(2,4),(4,5),(4,7),(5,6),(7,6)],8)
[8,4,2,5,3,1,6,7]=>([(1,7),(2,6),(3,4),(3,6),(4,7),(6,7),(7,5)],8)
[8,5,2,4,3,1,6,7]=>([(1,7),(2,7),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[8,3,2,5,4,1,6,7]=>([(1,7),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7),(7,4)],8)
[4,3,2,5,1,8,6,7]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(6,4),(7,5),(7,6)],8)
[3,5,2,4,1,8,6,7]=>([(0,6),(0,7),(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[2,4,7,8,1,5,3,6]=>([(0,6),(0,7),(1,4),(1,7),(3,2),(4,3),(4,6),(6,5),(7,5)],8)
[1,8,7,3,5,4,2,6]=>([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(5,7),(6,1),(6,2)],8)
[5,1,8,2,7,4,3,6]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(2,7),(3,7),(4,2),(4,3),(4,5)],8)
[5,1,7,2,8,4,3,6]=>([(0,6),(0,7),(1,4),(1,6),(2,7),(3,7),(4,2),(4,3),(4,5),(6,5)],8)
[6,1,2,8,5,3,4,7]=>([(0,6),(0,7),(1,5),(2,7),(3,7),(4,3),(5,2),(5,4),(5,6)],8)
[6,3,2,1,8,4,5,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(6,4)],8)
[7,3,2,8,4,5,1,6]=>([(0,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,4)],8)
[2,7,8,4,3,5,1,6]=>([(0,7),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(6,7)],8)
[7,1,8,3,5,4,2,6]=>([(0,6),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,2),(5,3)],8)
[7,8,2,3,4,6,1,5]=>([(0,7),(1,6),(2,4),(5,3),(5,7),(6,5)],8)
[6,7,1,3,4,8,2,5]=>([(0,4),(1,2),(1,5),(2,6),(3,6),(3,7),(4,7),(5,3)],8)
[6,8,1,3,4,7,2,5]=>([(0,4),(0,7),(1,3),(1,5),(2,6),(2,7),(3,6),(5,2)],8)
[1,7,2,3,4,6,8,5]=>([(0,3),(0,5),(2,7),(3,7),(4,6),(5,4),(6,1),(6,2)],8)
[1,6,2,3,4,8,7,5]=>([(0,2),(0,5),(2,6),(2,7),(3,4),(4,1),(4,6),(4,7),(5,3)],8)
[7,6,2,3,4,1,8,5]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)
[8,6,2,3,4,1,7,5]=>([(1,7),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)
[8,1,7,3,5,4,2,6]=>([(1,2),(1,5),(1,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[8,3,2,7,4,5,1,6]=>([(1,7),(2,5),(2,6),(3,5),(3,6),(4,7),(6,4)],8)
[6,7,2,3,4,1,8,5]=>([(0,6),(0,7),(1,3),(2,4),(3,5),(4,7),(5,6),(5,7)],8)
[7,6,2,3,4,8,1,5]=>([(0,7),(1,7),(2,6),(3,4),(4,5),(5,6),(5,7)],8)
[8,6,2,3,4,7,1,5]=>([(1,7),(2,6),(3,4),(4,5),(5,6),(5,7)],8)
[6,3,4,8,7,5,1,2]=>([(0,6),(0,7),(1,3),(2,4),(4,5),(4,6),(4,7)],8)
[4,8,7,3,5,6,1,2]=>([(0,7),(1,5),(2,3),(2,4),(2,7),(7,6)],8)
[4,8,7,5,3,6,1,2]=>([(0,7),(1,5),(2,3),(2,4),(2,6),(6,7)],8)
[5,8,7,3,4,6,1,2]=>([(0,6),(1,5),(2,3),(2,4),(2,7),(6,7)],8)
[5,8,4,2,1,6,7,3]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(7,5)],8)
[5,8,4,1,2,6,7,3]=>([(0,7),(1,6),(2,5),(2,7),(6,3),(6,7),(7,4)],8)
[5,3,7,2,6,1,8,4]=>([(0,5),(0,7),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,7),(6,7)],8)
[5,2,8,1,6,3,7,4]=>([(0,6),(0,7),(1,4),(1,7),(2,4),(2,6),(2,7),(6,3),(6,5),(7,5)],8)
[5,8,2,1,4,7,6,3]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(7,4),(7,5)],8)
[4,8,2,5,1,7,6,3]=>([(0,3),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(7,4),(7,5)],8)
[7,8,4,1,2,6,5,3]=>([(0,6),(0,7),(1,3),(2,4),(4,5),(4,6),(4,7)],8)
[4,8,1,5,2,7,6,3]=>([(0,3),(0,7),(1,4),(1,7),(4,2),(4,5),(4,6),(7,5),(7,6)],8)
[5,8,1,2,4,7,6,3]=>([(0,5),(1,4),(1,6),(1,7),(3,6),(3,7),(5,2),(5,3)],8)
[5,2,8,3,6,7,1,4]=>([(0,5),(0,7),(1,6),(2,4),(2,5),(4,6),(4,7),(7,3)],8)
[3,8,7,6,2,4,1,5]=>([(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(6,7)],8)
[2,8,7,6,4,1,3,5]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(5,6),(7,6)],8)
[7,8,2,6,5,1,3,4]=>([(0,7),(1,5),(2,3),(2,4),(2,7),(7,6)],8)
[1,8,7,6,4,2,3,5]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(5,7),(6,1)],8)
[2,8,7,6,3,1,4,5]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(5,7),(7,6)],8)
[1,8,7,6,2,4,3,5]=>([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(6,1),(6,2)],8)
[1,8,7,6,3,4,2,5]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(5,7),(6,1)],8)
[2,8,1,4,5,6,7,3]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(4,2),(5,4),(7,5)],8)
[2,1,7,3,6,5,8,4]=>([(0,5),(0,6),(1,5),(1,6),(3,7),(4,7),(5,7),(6,2),(6,3),(6,4)],8)
[3,1,7,2,6,5,8,4]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(4,7),(5,7),(6,7)],8)
[3,2,7,1,6,5,8,4]=>([(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(6,4),(7,4)],8)
[6,1,2,8,5,7,3,4]=>([(0,6),(0,7),(1,5),(3,6),(4,2),(5,3),(5,4),(5,7)],8)
[6,2,1,8,5,7,3,4]=>([(0,5),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(4,5),(6,3)],8)
[6,3,1,8,5,7,2,4]=>([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,7),(3,6),(4,5)],8)
[6,4,2,1,7,5,8,3]=>([(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(6,5),(7,5)],8)
[6,1,3,8,5,2,7,4]=>([(0,6),(0,7),(1,3),(1,4),(2,7),(3,5),(3,7),(4,2),(4,5),(4,6)],8)
[2,3,7,1,6,8,5,4]=>([(0,3),(1,4),(1,5),(1,7),(2,6),(3,2),(3,4),(3,5),(3,7),(7,6)],8)
[1,3,7,2,6,8,5,4]=>([(0,2),(0,3),(1,4),(2,5),(2,6),(2,7),(3,1),(3,5),(3,6),(3,7),(7,4)],8)
[7,8,2,6,5,3,1,4]=>([(0,7),(1,5),(2,3),(2,4),(2,6),(6,7)],8)
[3,2,6,7,5,8,1,4]=>([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(4,6),(5,3)],8)
[1,2,7,5,6,3,8,4]=>([(0,6),(2,7),(3,7),(4,3),(5,1),(5,7),(6,2),(6,4),(6,5)],8)
[2,8,7,6,4,3,1,5]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(5,7),(6,7)],8)
[3,8,7,6,1,2,5,4]=>([(0,5),(1,2),(1,3),(1,4),(1,6),(1,7),(5,6),(5,7)],8)
[3,8,7,6,2,1,5,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[4,8,7,6,2,1,3,5]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,7),(6,7)],8)
[4,8,7,6,1,3,2,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(5,7),(6,7)],8)
[3,8,7,6,4,1,2,5]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(5,7),(6,7)],8)
[7,8,3,6,5,1,2,4]=>([(0,6),(1,5),(2,3),(2,4),(2,7),(6,7)],8)
[2,3,7,5,6,8,1,4]=>([(0,7),(1,5),(2,6),(3,6),(4,3),(5,2),(5,4),(5,7)],8)
[3,8,7,6,4,2,1,5]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(6,7)],8)
[5,1,4,6,8,2,3,7]=>([(0,7),(1,3),(1,5),(3,7),(4,6),(5,4),(7,2),(7,6)],8)
[1,7,6,3,5,4,8,2]=>([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(4,7),(5,7),(6,1),(6,2)],8)
[4,3,7,2,6,5,1,8]=>([(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[3,4,6,1,5,7,2,8]=>([(0,3),(0,7),(1,4),(2,5),(3,6),(4,2),(4,7),(5,6),(7,5)],8)
[1,6,8,5,7,3,4,2]=>([(0,3),(0,4),(0,5),(0,6),(4,7),(5,2),(6,1),(6,7)],8)
[2,4,1,5,8,6,3,7]=>([(0,6),(0,7),(1,3),(1,6),(3,7),(4,5),(6,5),(7,2),(7,4)],8)
[4,6,1,2,5,8,3,7]=>([(0,3),(0,6),(1,4),(2,7),(3,5),(3,7),(4,2),(4,6),(6,5),(6,7)],8)
[5,6,7,2,1,4,8,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,7),(6,7)],8)
[7,8,6,5,1,2,4,3]=>([(2,4),(3,5),(5,6),(5,7)],8)
[1,3,6,5,7,8,2,4]=>([(0,4),(0,5),(2,7),(3,7),(4,6),(5,2),(5,3),(5,6),(7,1)],8)
[7,4,8,5,3,1,6,2]=>([(0,7),(1,6),(2,4),(2,7),(3,5),(3,6),(5,7)],8)
[6,8,5,2,4,1,7,3]=>([(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(5,7)],8)
[2,3,1,6,8,5,7,4]=>([(0,3),(1,5),(1,6),(1,7),(3,5),(3,6),(3,7),(6,4),(7,2),(7,4)],8)
[7,3,2,5,1,4,8,6]=>([(0,7),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,7),(6,5),(6,7)],8)
[7,1,4,2,3,6,8,5]=>([(0,7),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(6,7)],8)
[1,5,8,3,4,6,7,2]=>([(0,4),(0,5),(0,6),(2,7),(5,2),(6,1),(6,7),(7,3)],8)
[8,3,1,2,4,7,6,5]=>([(1,7),(2,3),(3,7),(7,4),(7,5),(7,6)],8)
[2,3,8,1,6,5,4,7]=>([(0,3),(1,4),(1,5),(1,6),(3,2),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[8,1,4,7,2,5,3,6]=>([(1,4),(1,5),(3,7),(4,2),(4,6),(5,3),(5,6),(6,7)],8)
[3,5,2,4,1,7,8,6]=>([(0,6),(0,7),(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[3,4,7,8,6,2,1,5]=>([(0,7),(1,7),(2,6),(5,4),(6,3),(6,5),(6,7)],8)
[3,4,8,6,2,7,1,5]=>([(0,3),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(5,6)],8)
[5,8,2,1,6,7,3,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(6,5),(7,4)],8)
[5,7,2,8,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(5,7)],8)
[6,1,2,7,5,3,8,4]=>([(0,6),(1,5),(3,7),(4,2),(4,7),(5,3),(5,4),(5,6),(6,7)],8)
[7,3,2,8,6,4,1,5]=>([(0,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(5,6)],8)
[2,7,8,4,6,3,1,5]=>([(0,7),(1,4),(1,5),(1,6),(4,7),(5,3),(6,2),(6,7)],8)
[1,4,5,7,2,6,8,3]=>([(0,4),(0,5),(2,7),(3,2),(3,6),(4,3),(5,1),(5,6),(6,7)],8)
[7,3,5,2,6,1,8,4]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(3,4),(3,6),(4,5),(5,7)],8)
[8,5,2,3,6,1,7,4]=>([(1,7),(2,5),(2,6),(3,4),(4,6),(4,7),(7,5)],8)
[8,1,6,3,5,7,2,4]=>([(1,3),(1,4),(1,5),(2,6),(3,6),(4,7),(5,2),(5,7)],8)
[2,8,6,4,3,7,1,5]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,2,6,4,7,1,5]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[2,3,8,7,6,5,1,4]=>([(0,7),(1,6),(6,2),(6,3),(6,4),(6,5),(6,7)],8)
[1,2,8,7,3,6,5,4]=>([(0,7),(6,3),(6,4),(6,5),(7,1),(7,2),(7,6)],8)
[4,2,8,7,3,6,1,5]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7)],8)
[4,5,8,7,1,2,6,3]=>([(0,6),(1,5),(5,4),(5,7),(6,2),(6,3),(6,7)],8)
[1,5,8,7,3,2,6,4]=>([(0,3),(0,4),(0,5),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,7)],8)
[4,5,8,7,3,2,1,6]=>([(0,4),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7)],8)
[2,6,8,1,7,5,4,3]=>([(0,3),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(3,2),(3,4)],8)
[3,6,8,4,7,2,1,5]=>([(0,7),(1,7),(2,3),(2,4),(3,5),(3,6),(4,6),(4,7)],8)
[2,5,8,3,7,6,1,4]=>([(0,7),(1,3),(1,4),(3,5),(3,6),(3,7),(4,2),(4,5),(4,6)],8)
[3,2,8,4,7,6,1,5]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(7,3),(7,4),(7,6)],8)
[1,5,8,3,7,2,6,4]=>([(0,2),(0,3),(0,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,1),(4,6),(4,7)],8)
[3,5,8,4,7,2,1,6]=>([(0,7),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,6,8,2,3,7,1,4]=>([(0,6),(1,3),(2,4),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,8,4,2,7,5,3]=>([(0,3),(0,4),(0,5),(3,6),(3,7),(4,2),(4,7),(5,1),(5,6),(5,7)],8)
[1,5,8,4,2,7,6,3]=>([(0,3),(0,4),(0,5),(3,6),(3,7),(4,2),(4,6),(4,7),(5,1),(5,6),(5,7)],8)
[1,5,8,2,3,7,6,4]=>([(0,4),(0,5),(3,2),(3,6),(3,7),(4,3),(5,1),(5,6),(5,7)],8)
[2,1,8,4,3,7,6,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(6,2),(6,3),(6,4),(7,2),(7,3),(7,4)],8)
[2,5,8,4,3,7,1,6]=>([(0,7),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,6),(5,7)],8)
[5,6,8,4,1,2,7,3]=>([(0,7),(1,6),(2,5),(5,3),(5,7),(6,4),(6,7)],8)
[5,6,8,1,3,2,7,4]=>([(0,5),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(5,2),(5,7)],8)
[1,6,8,4,3,2,7,5]=>([(0,2),(0,3),(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,7)],8)
[5,6,8,4,3,2,1,7]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(5,7)],8)
[7,1,2,8,6,5,4,3]=>([(0,7),(1,6),(6,2),(6,3),(6,4),(6,5),(6,7)],8)
[7,1,4,8,6,2,5,3]=>([(0,7),(1,4),(1,5),(4,2),(4,6),(5,3),(5,6),(5,7)],8)
[7,3,1,8,6,2,5,4]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6)],8)
[7,2,4,8,3,6,1,5]=>([(0,7),(1,5),(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,1,4,8,3,2,6,5]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,4,5,8,3,2,1,6]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(5,7)],8)
[1,6,2,8,7,5,4,3]=>([(0,4),(0,5),(4,6),(4,7),(5,1),(5,2),(5,3),(5,6),(5,7)],8)
[1,6,4,8,7,2,5,3]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,1),(4,7)],8)
[3,6,4,8,7,2,1,5]=>([(0,7),(1,7),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(4,7)],8)
[3,2,5,8,7,6,1,4]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(6,3),(6,4),(6,5)],8)
[3,2,4,8,7,6,1,5]=>([(0,7),(1,7),(2,6),(7,3),(7,4),(7,5),(7,6)],8)
[3,1,5,8,7,2,6,4]=>([(0,6),(0,7),(1,4),(1,7),(4,5),(4,6),(7,2),(7,3),(7,5)],8)
[3,1,4,8,7,2,6,5]=>([(0,7),(1,4),(1,7),(4,5),(4,6),(7,2),(7,3),(7,5),(7,6)],8)
[1,6,4,8,2,7,5,3]=>([(0,2),(0,3),(0,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,1),(4,6),(4,7)],8)
[1,4,5,8,2,7,6,3]=>([(0,4),(0,5),(3,2),(3,6),(3,7),(4,3),(5,1),(5,6),(5,7)],8)
[2,4,5,8,3,7,1,6]=>([(0,7),(1,3),(1,4),(3,6),(3,7),(4,5),(5,2),(5,6),(5,7)],8)
[4,6,5,8,1,2,7,3]=>([(0,5),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(5,2),(5,7)],8)
[1,6,4,8,3,2,7,5]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7)],8)
[1,4,5,8,3,2,7,6]=>([(0,2),(0,3),(0,5),(2,6),(2,7),(3,6),(3,7),(4,1),(4,6),(4,7),(5,4)],8)
[7,6,1,4,8,2,5,3]=>([(0,7),(1,7),(2,3),(2,4),(3,5),(3,6),(4,6),(4,7)],8)
[7,6,1,3,8,2,5,4]=>([(0,7),(1,7),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(4,7)],8)
[7,6,3,4,8,2,1,5]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,6),(5,7)],8)
[7,2,5,1,8,6,4,3]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7)],8)
[7,2,5,3,8,6,1,4]=>([(0,7),(1,5),(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,2,1,4,8,6,5,3]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(7,3),(7,4),(7,6)],8)
[7,2,1,3,8,6,5,4]=>([(0,7),(1,7),(2,6),(7,3),(7,4),(7,5),(7,6)],8)
[7,2,3,4,8,6,1,5]=>([(0,3),(1,7),(2,6),(3,5),(5,4),(5,6),(5,7)],8)
[7,3,5,4,8,2,1,6]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,5,1,8,7,4,3]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7)],8)
[2,3,5,4,8,7,1,6]=>([(0,7),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,2),(4,3)],8)
[1,6,5,4,8,2,7,3]=>([(0,2),(0,3),(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,7)],8)
[1,6,5,3,8,2,7,4]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7)],8)
[1,6,3,4,8,2,7,5]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,1)],8)
[1,3,5,4,8,2,7,6]=>([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,1),(4,2)],8)
[3,6,5,4,8,2,1,7]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,5,2,3,8,1,4]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(5,7)],8)
[7,6,1,4,2,8,5,3]=>([(0,7),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,6,1,2,3,8,5,4]=>([(0,7),(1,7),(2,5),(5,6),(6,3),(6,4),(6,7)],8)
[7,6,2,4,3,8,1,5]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,5,4,2,8,6,3]=>([(0,7),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,6),(5,7)],8)
[7,1,5,2,3,8,6,4]=>([(0,7),(1,3),(1,4),(3,6),(3,7),(4,5),(5,2),(5,6),(5,7)],8)
[7,1,2,4,3,8,6,5]=>([(0,7),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,2),(4,3)],8)
[2,6,5,4,3,8,1,7]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,1,4,3,2,8,5]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,5,4,3,2,8,6]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,2,6,7,8,1,5]=>([(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(4,5),(6,4)],8)
[3,1,4,2,6,8,7,5]=>([(0,6),(1,4),(1,6),(4,5),(4,7),(6,5),(6,7),(7,2),(7,3)],8)
[8,3,4,2,6,1,7,5]=>([(1,6),(1,7),(2,5),(2,7),(3,4),(4,6),(4,7),(6,5)],8)
[2,6,7,3,5,4,1,8]=>([(0,7),(1,5),(1,6),(2,7),(3,7),(4,7),(5,4),(6,2),(6,3)],8)
[2,7,8,3,5,4,1,6]=>([(0,7),(1,5),(1,6),(3,7),(4,7),(5,2),(6,3),(6,4)],8)
[2,6,8,3,5,4,1,7]=>([(0,7),(1,5),(1,6),(3,7),(4,7),(5,2),(5,7),(6,3),(6,4)],8)
[4,7,1,2,8,5,3,6]=>([(0,3),(0,7),(1,4),(2,5),(3,6),(4,2),(4,6),(4,7),(7,5)],8)
[4,8,1,2,7,5,3,6]=>([(0,4),(1,3),(1,6),(1,7),(2,5),(4,2),(4,6),(4,7),(7,5)],8)
[2,1,6,3,7,5,4,8]=>([(0,5),(0,6),(1,5),(1,6),(2,7),(3,7),(4,7),(5,4),(6,2),(6,3),(6,4)],8)
[2,7,1,3,6,8,4,5]=>([(0,7),(1,4),(1,7),(3,6),(4,6),(5,2),(7,3),(7,5)],8)
[6,7,3,2,8,1,4,5]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(4,7),(6,5)],8)
[7,3,4,2,6,1,8,5]=>([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(4,5),(4,7),(5,6)],8)
[7,4,1,2,8,5,3,6]=>([(0,7),(1,6),(1,7),(2,3),(3,4),(3,6),(3,7),(4,5),(6,5)],8)
[8,7,4,2,1,5,3,6]=>([(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[7,4,1,2,6,5,3,8]=>([(0,7),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[7,4,3,1,5,6,8,2]=>([(0,7),(1,7),(2,6),(3,4),(3,7),(5,6),(7,5)],8)
[6,7,4,1,5,8,3,2]=>([(0,6),(1,5),(2,3),(2,4),(2,6),(5,7),(6,7)],8)
[4,7,5,1,6,8,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,7),(4,7),(5,6),(7,6)],8)
[4,5,3,1,7,6,8,2]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(2,7),(4,6),(4,7),(6,5),(7,5)],8)
[4,6,1,2,7,5,3,8]=>([(0,3),(0,6),(1,4),(2,7),(3,5),(4,2),(4,5),(4,6),(5,7),(6,7)],8)
[2,7,1,3,6,5,4,8]=>([(0,6),(1,2),(1,6),(2,7),(3,7),(4,7),(5,7),(6,3),(6,4),(6,5)],8)
[4,1,8,2,6,5,3,7]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,7),(3,2),(3,4),(3,5),(4,7),(5,7)],8)
[4,6,1,2,8,5,3,7]=>([(0,3),(0,6),(1,4),(2,7),(3,5),(3,7),(4,2),(4,5),(4,6),(6,7)],8)
[8,4,3,1,5,6,7,2]=>([(1,7),(2,7),(3,4),(3,7),(5,6),(7,5)],8)
[4,5,3,1,8,6,7,2]=>([(0,6),(0,7),(1,5),(2,3),(2,6),(2,7),(5,6),(5,7),(7,4)],8)
[4,8,5,6,3,1,7,2]=>([(0,7),(1,4),(1,7),(2,3),(2,6),(5,7),(6,5)],8)
[5,1,3,4,8,6,7,2]=>([(0,6),(0,7),(1,3),(1,5),(4,6),(4,7),(5,4),(7,2)],8)
[5,4,3,8,1,6,7,2]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(7,5)],8)
[8,5,3,4,1,6,7,2]=>([(1,7),(2,5),(3,4),(3,7),(5,7),(7,6)],8)
[6,4,8,2,1,5,3,7]=>([(0,4),(0,7),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7)],8)
[6,7,3,2,5,1,4,8]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,7),(5,7),(6,7)],8)
[6,8,3,2,5,1,4,7]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,1,4,6,8,3,2]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(4,7),(5,6),(7,6)],8)
[5,1,3,4,7,6,8,2]=>([(0,6),(0,7),(1,2),(1,4),(3,6),(3,7),(4,3),(6,5),(7,5)],8)
[6,1,4,2,7,5,3,8]=>([(0,7),(1,3),(1,4),(2,6),(3,5),(3,7),(4,2),(4,5),(4,7),(5,6),(7,6)],8)
[5,4,3,7,1,6,8,2]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(6,5),(7,5)],8)
[6,7,5,4,1,8,3,2]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(3,7),(6,7)],8)
[7,6,4,2,1,5,3,8]=>([(0,7),(1,7),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,2,7,6,5,4,1,3]=>([(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[7,2,8,6,5,4,3,1]=>([(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[8,7,2,6,5,4,1,3]=>([(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[3,2,8,7,6,5,1,4]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[4,8,7,6,5,3,1,2]=>([(1,7),(2,3),(2,4),(2,5),(2,6)],8)
[7,8,6,1,5,4,3,2]=>([(1,7),(2,3),(2,4),(2,5),(2,6)],8)
[7,3,8,6,5,4,2,1]=>([(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[4,8,5,7,6,3,2,1]=>([(3,4),(3,5),(5,6),(5,7)],8)
[3,8,7,4,6,5,2,1]=>([(2,5),(2,6),(2,7),(7,3),(7,4)],8)
[2,8,7,6,3,5,4,1]=>([(1,4),(1,5),(1,6),(1,7),(7,2),(7,3)],8)
[8,5,6,1,3,2,4,7]=>([(1,5),(2,3),(2,4),(3,7),(4,7),(5,6),(7,6)],8)
[8,6,1,5,3,2,4,7]=>([(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(5,6),(6,7)],8)
[7,8,1,5,3,2,4,6]=>([(0,5),(1,2),(1,3),(1,4),(2,7),(3,6),(4,6),(6,7)],8)
[8,1,7,5,3,2,4,6]=>([(1,2),(1,3),(1,4),(1,5),(3,7),(4,6),(5,6),(6,7)],8)
[8,6,1,4,5,2,3,7]=>([(1,7),(2,5),(2,6),(3,7),(4,7),(5,4),(6,3)],8)
[8,6,3,1,5,2,4,7]=>([(1,7),(2,5),(2,6),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,6,1,5,2,3,7]=>([(1,3),(1,6),(2,4),(2,6),(3,5),(4,7),(5,7),(6,7)],8)
[8,6,2,1,5,4,3,7]=>([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[8,5,2,6,1,4,3,7]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[8,5,2,1,7,4,3,6]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[7,8,2,1,5,4,3,6]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(4,7),(5,7),(6,7)],8)
[7,8,3,1,5,2,4,6]=>([(0,5),(0,7),(1,3),(2,4),(2,5),(4,7),(5,6),(7,6)],8)
[8,2,7,5,1,3,4,6]=>([(1,6),(2,3),(2,4),(2,6),(4,7),(5,7),(6,5)],8)
[8,4,1,7,5,2,3,6]=>([(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,7),(6,7)],8)
[8,2,7,1,5,4,3,6]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[8,2,6,1,7,4,3,5]=>([(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(6,4),(7,4)],8)
[8,1,7,4,3,2,6,5]=>([(1,2),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,5,7,3,2,6,4]=>([(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,7)],8)
[5,7,8,1,3,2,6,4]=>([(0,5),(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[8,2,6,1,5,7,3,4]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3)],8)
[5,8,1,6,7,2,3,4]=>([(0,6),(0,7),(1,4),(1,7),(5,2),(6,5),(7,3)],8)
[5,7,6,1,8,2,3,4]=>([(0,6),(0,7),(1,3),(1,4),(3,7),(4,7),(5,2),(6,5)],8)
[6,7,2,5,1,8,3,4]=>([(0,6),(0,7),(1,3),(2,4),(2,6),(3,7),(4,7),(6,5)],8)
[7,5,1,6,8,2,3,4]=>([(0,7),(1,6),(2,3),(2,6),(3,5),(5,4),(6,7)],8)
[6,5,7,1,8,2,3,4]=>([(0,3),(0,7),(1,6),(2,6),(3,5),(5,4),(6,7)],8)
[6,7,3,8,1,2,4,5]=>([(0,6),(0,7),(1,3),(2,5),(3,7),(5,6),(7,4)],8)
[7,5,4,1,8,2,3,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(5,6)],8)
[7,6,1,4,8,2,3,5]=>([(0,7),(1,7),(2,3),(2,4),(3,5),(4,6),(4,7),(5,6)],8)
[8,1,6,4,7,2,3,5]=>([(1,3),(1,4),(1,5),(2,6),(3,7),(4,6),(4,7),(5,2)],8)
[7,5,8,1,3,2,4,6]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(7,6)],8)
[7,8,4,1,3,2,5,6]=>([(0,7),(1,3),(2,4),(2,5),(4,7),(5,7),(7,6)],8)
[8,3,7,4,1,2,5,6]=>([(1,5),(2,3),(2,4),(4,7),(5,7),(7,6)],8)
[8,5,1,7,3,2,4,6]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(7,6)],8)
[6,8,1,7,3,2,4,5]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(3,7),(4,7),(7,2)],8)
[7,1,8,4,3,6,2,5]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7)],8)
[7,3,1,8,6,4,2,5]=>([(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(5,6)],8)
[8,3,1,7,4,6,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(6,3),(6,7)],8)
[8,4,5,1,7,2,3,6]=>([(1,4),(2,3),(2,6),(3,5),(4,6),(4,7),(5,7)],8)
[5,6,8,1,7,2,3,4]=>([(0,6),(1,5),(1,7),(4,3),(5,4),(6,2),(6,7)],8)
[6,5,8,1,2,7,3,4]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(5,4)],8)
[7,3,1,8,5,6,2,4]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,6),(5,4)],8)
[6,2,7,8,3,1,5,4]=>([(0,5),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(5,3)],8)
[5,8,1,7,3,2,6,4]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(1,6),(2,5),(2,7),(3,5),(3,7)],8)
[8,4,1,7,3,2,6,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[8,3,4,7,1,2,6,5]=>([(1,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,2,7,4,1,3,6,5]=>([(1,5),(2,3),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,8,2,1,3,6,5]=>([(0,4),(1,5),(2,5),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
[7,4,3,8,1,2,6,5]=>([(0,5),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,6),(4,7)],8)
[8,2,3,6,7,1,5,4]=>([(1,3),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4)],8)
[7,8,5,2,3,6,4,1]=>([(1,7),(2,4),(3,5),(5,6),(5,7)],8)
[6,8,5,2,3,4,7,1]=>([(1,7),(2,5),(3,4),(3,7),(5,6),(6,7)],8)
[3,5,2,6,8,1,4,7]=>([(0,7),(1,6),(1,7),(2,3),(2,7),(3,6),(6,4),(6,5),(7,5)],8)
[3,5,2,4,6,8,1,7]=>([(0,5),(1,6),(2,3),(2,5),(3,7),(5,7),(7,4),(7,6)],8)
[2,4,5,7,3,6,8,1]=>([(1,3),(1,4),(2,7),(3,6),(4,5),(5,2),(5,6),(6,7)],8)
[2,4,5,3,6,8,1,7]=>([(0,6),(1,4),(1,5),(3,7),(4,7),(5,3),(7,2),(7,6)],8)
[5,2,4,6,8,1,3,7]=>([(0,7),(1,5),(2,3),(2,5),(3,7),(5,6),(7,4),(7,6)],8)
[5,1,3,4,6,8,2,7]=>([(0,7),(1,4),(1,5),(3,7),(4,6),(5,3),(7,2),(7,6)],8)
[4,3,5,2,6,8,1,7]=>([(0,7),(1,5),(2,5),(3,6),(5,7),(7,4),(7,6)],8)
[4,3,5,7,2,8,1,6]=>([(0,7),(1,6),(1,7),(2,5),(3,5),(4,6),(5,4),(5,7)],8)
[4,3,5,7,2,6,8,1]=>([(1,6),(2,6),(3,5),(4,7),(5,7),(6,4),(6,5)],8)
[4,6,3,7,2,5,8,1]=>([(1,7),(2,6),(2,7),(3,4),(3,7),(4,6),(6,5),(7,5)],8)
[4,6,3,1,7,8,2,5]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,6),(3,7),(5,6),(7,4)],8)
[4,3,5,1,7,8,2,6]=>([(0,5),(1,5),(2,4),(2,6),(4,7),(5,6),(5,7),(6,3)],8)
[5,7,1,3,4,8,2,6]=>([(0,4),(0,7),(1,2),(1,5),(2,7),(3,6),(3,7),(4,6),(5,3)],8)
[5,7,1,3,4,6,8,2]=>([(0,4),(0,7),(1,3),(1,5),(2,7),(4,6),(5,2),(7,6)],8)
[4,5,7,1,3,6,8,2]=>([(0,5),(1,3),(1,4),(2,7),(4,6),(5,2),(5,6),(6,7)],8)
[4,3,6,7,1,5,8,2]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,7),(4,6),(5,4),(7,6)],8)
[4,6,3,5,1,7,8,2]=>([(0,6),(1,3),(1,7),(2,4),(2,6),(4,7),(6,7),(7,5)],8)
[4,6,3,5,7,2,8,1]=>([(1,5),(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[3,5,6,4,1,7,8,2]=>([(0,5),(0,7),(1,3),(1,6),(2,7),(3,7),(6,2),(7,4)],8)
[3,1,5,6,7,4,8,2]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(2,5),(4,2),(6,5),(7,4)],8)
[5,1,6,7,3,4,8,2]=>([(0,7),(1,2),(1,5),(1,7),(3,6),(4,6),(5,4),(7,3)],8)
[6,4,7,1,3,5,8,2]=>([(0,5),(1,5),(1,7),(2,3),(2,4),(4,7),(5,6),(7,6)],8)
[1,6,7,3,4,5,8,2]=>([(0,3),(0,5),(0,6),(1,7),(2,7),(4,1),(5,2),(6,4)],8)
[2,6,7,4,5,8,1,3]=>([(0,7),(1,4),(1,5),(1,7),(2,6),(3,6),(4,3),(5,2)],8)
[2,6,7,4,8,1,3,5]=>([(0,7),(1,3),(1,4),(1,7),(2,5),(3,5),(3,6),(4,2),(7,6)],8)
[5,3,6,1,2,7,8,4]=>([(0,5),(1,5),(1,6),(2,4),(4,6),(4,7),(5,7),(7,3)],8)
[3,5,2,6,1,7,8,4]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,7),(3,6),(5,4),(6,5)],8)
[3,5,2,6,7,4,8,1]=>([(1,5),(1,7),(2,3),(2,5),(3,7),(4,6),(5,6),(7,4)],8)
[5,2,3,6,7,4,8,1]=>([(1,7),(2,3),(3,5),(3,7),(4,6),(5,6),(7,4)],8)
[5,2,3,6,1,7,8,4]=>([(0,7),(1,5),(1,6),(2,4),(4,6),(4,7),(5,3),(7,5)],8)
[5,2,6,1,3,7,8,4]=>([(0,5),(1,6),(2,5),(2,6),(5,7),(6,3),(6,7),(7,4)],8)
[4,2,6,7,3,5,8,1]=>([(1,5),(1,6),(2,4),(2,5),(3,7),(4,6),(5,3),(6,7)],8)
[6,3,7,2,4,5,8,1]=>([(1,6),(2,5),(3,5),(3,6),(4,7),(5,7),(6,4)],8)
[3,5,7,2,8,1,4,6]=>([(0,7),(1,5),(1,7),(2,3),(2,7),(3,4),(3,6),(4,5),(7,6)],8)
[3,7,2,4,8,1,5,6]=>([(0,6),(1,5),(2,4),(2,5),(4,7),(5,6),(5,7),(6,3)],8)
[7,2,4,6,8,1,3,5]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(3,7),(4,6),(5,7)],8)
[7,1,3,4,6,8,2,5]=>([(0,7),(1,3),(1,4),(2,7),(3,6),(4,5),(5,2),(5,6)],8)
[3,7,2,4,6,8,1,5]=>([(0,6),(1,5),(2,4),(2,6),(3,7),(4,7),(6,3),(6,5)],8)
[3,5,7,2,6,8,1,4]=>([(0,7),(1,6),(1,7),(2,3),(2,7),(3,4),(3,6),(4,5),(6,5)],8)
[6,3,7,2,5,8,1,4]=>([(0,7),(1,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
[6,3,5,7,2,8,1,4]=>([(0,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(6,5)],8)
[6,3,5,7,2,4,8,1]=>([(1,7),(2,5),(3,4),(3,5),(4,7),(5,6),(7,6)],8)
[6,2,4,5,7,3,8,1]=>([(1,6),(2,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[6,2,4,5,1,7,8,3]=>([(0,7),(1,6),(1,7),(2,3),(2,6),(3,5),(5,7),(7,4)],8)
[4,7,1,2,5,6,8,3]=>([(0,4),(0,7),(1,5),(3,6),(4,6),(5,2),(5,7),(7,3)],8)
[2,6,7,5,8,1,3,4]=>([(0,7),(1,4),(1,5),(1,7),(3,6),(4,6),(5,3),(7,2)],8)
[4,6,7,1,2,5,8,3]=>([(0,5),(1,4),(1,7),(3,6),(4,3),(5,2),(5,7),(7,6)],8)
[5,6,2,4,7,3,8,1]=>([(1,4),(2,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[5,4,2,6,7,3,8,1]=>([(1,7),(2,7),(3,4),(3,7),(4,6),(5,6),(7,5)],8)
[5,4,2,6,1,7,8,3]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,7),(6,4),(7,6)],8)
[1,5,4,6,2,7,8,3]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,2),(5,7),(6,7),(7,1)],8)
[5,6,4,1,2,7,8,3]=>([(0,7),(1,5),(2,6),(5,7),(6,3),(6,7),(7,4)],8)
[6,4,5,1,2,7,8,3]=>([(0,7),(1,5),(2,6),(5,7),(6,3),(6,7),(7,4)],8)
[6,3,5,1,7,8,2,4]=>([(0,7),(1,5),(1,7),(2,3),(2,6),(3,7),(5,6),(7,4)],8)
[6,5,7,2,8,1,3,4]=>([(0,7),(1,6),(1,7),(2,5),(3,5),(5,6),(7,4)],8)
[6,5,7,1,3,4,8,2]=>([(0,6),(1,6),(2,3),(2,4),(4,5),(5,7),(6,7)],8)
[5,6,4,7,1,3,8,2]=>([(0,6),(1,5),(2,3),(2,4),(4,7),(5,6),(6,7)],8)
[5,4,6,3,1,7,8,2]=>([(0,7),(1,6),(2,6),(3,4),(3,7),(6,7),(7,5)],8)
[7,5,3,2,4,8,1,6]=>([(0,7),(1,6),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8)
[8,4,5,2,6,1,3,7]=>([(1,5),(2,5),(2,7),(3,4),(4,7),(5,6),(7,6)],8)
[8,5,4,2,1,6,3,7]=>([(1,7),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[8,5,3,4,1,6,2,7]=>([(1,7),(2,4),(3,5),(3,7),(4,7),(5,6),(7,6)],8)
[8,4,5,3,1,6,2,7]=>([(1,7),(2,4),(3,5),(3,7),(4,7),(5,6),(7,6)],8)
[7,5,4,2,1,8,3,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[7,5,4,2,1,6,8,3]=>([(0,7),(1,7),(2,6),(3,5),(3,7),(4,5),(4,7),(7,6)],8)
[7,4,5,3,1,6,8,2]=>([(0,7),(1,6),(2,5),(3,4),(3,7),(5,7),(7,6)],8)
[7,4,3,5,6,1,8,2]=>([(0,7),(1,6),(2,6),(3,4),(3,7),(5,7),(6,5)],8)
[5,6,3,7,4,1,8,2]=>([(0,5),(1,3),(1,7),(2,4),(2,6),(4,7),(5,6),(6,7)],8)
[5,6,7,3,1,4,8,2]=>([(0,6),(1,4),(2,3),(2,6),(4,5),(5,7),(6,7)],8)
[6,7,3,4,1,5,8,2]=>([(0,4),(1,5),(2,3),(2,6),(4,7),(5,6),(6,7)],8)
[6,7,4,2,1,5,8,3]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(4,6),(7,6)],8)
[5,6,7,3,1,8,2,4]=>([(0,6),(0,7),(1,3),(2,4),(2,7),(3,5),(4,6),(5,7)],8)
[5,6,3,7,8,1,2,4]=>([(0,6),(0,7),(1,3),(2,5),(3,7),(5,6),(7,4)],8)
[5,6,3,7,2,4,8,1]=>([(1,5),(2,5),(2,7),(3,4),(4,7),(5,6),(7,6)],8)
[5,6,7,2,3,8,1,4]=>([(0,6),(1,3),(2,4),(3,5),(4,6),(4,7),(5,7)],8)
[7,4,5,2,8,1,3,6]=>([(0,7),(1,5),(2,5),(2,7),(3,4),(4,6),(4,7),(5,6)],8)
[6,7,3,2,4,8,1,5]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,4,2,1,3,8,5]=>([(0,7),(1,7),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8)
[7,6,3,4,1,2,8,5]=>([(0,7),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,3,2,4,1,8,5]=>([(0,7),(1,7),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8)
[6,7,3,2,5,1,8,4]=>([(0,6),(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(4,7),(5,7)],8)
[6,5,3,2,7,8,1,4]=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[6,5,3,2,7,4,8,1]=>([(1,7),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[6,4,5,2,7,3,8,1]=>([(1,7),(2,4),(3,5),(3,7),(4,7),(5,6),(7,6)],8)
[6,4,5,2,7,8,1,3]=>([(0,7),(1,6),(2,6),(2,7),(3,4),(4,7),(7,5)],8)
[7,4,5,2,6,1,8,3]=>([(0,7),(1,5),(1,6),(2,5),(2,7),(3,4),(4,6),(6,7)],8)
[7,4,5,6,1,2,8,3]=>([(0,7),(1,6),(2,5),(4,7),(5,4),(6,3),(6,7)],8)
[7,5,6,2,1,3,8,4]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(6,5),(6,7)],8)
[6,7,3,5,1,2,8,4]=>([(0,3),(1,5),(2,4),(2,6),(3,7),(4,7),(5,6),(5,7)],8)
[5,6,7,4,1,2,8,3]=>([(0,7),(1,6),(2,5),(4,7),(5,4),(6,3),(6,7)],8)
[5,6,7,2,4,1,8,3]=>([(0,6),(0,7),(1,3),(2,4),(2,6),(3,5),(4,7),(5,7)],8)
[5,6,4,2,7,8,1,3]=>([(0,7),(1,6),(2,6),(2,7),(3,4),(4,7),(7,5)],8)
[6,5,7,2,1,8,3,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(5,7),(6,4)],8)
[6,5,7,2,1,4,8,3]=>([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,7),(6,7)],8)
[5,4,6,7,3,1,8,2]=>([(0,7),(1,6),(2,6),(3,4),(3,7),(5,7),(6,5)],8)
[3,7,8,5,6,1,4,2]=>([(0,4),(0,7),(1,5),(1,6),(1,7),(5,3),(6,2)],8)
[1,7,8,5,6,3,4,2]=>([(0,4),(0,5),(0,6),(0,7),(5,3),(6,2),(7,1)],8)
[1,7,5,8,6,3,4,2]=>([(0,3),(0,4),(0,5),(0,6),(4,7),(5,2),(6,1),(6,7)],8)
[3,7,5,8,6,1,4,2]=>([(0,4),(0,7),(1,3),(1,5),(1,7),(3,6),(5,2),(5,6)],8)
[5,7,3,8,6,4,1,2]=>([(0,4),(1,5),(1,6),(2,3),(2,6),(2,7),(5,7)],8)
[1,5,7,8,6,3,4,2]=>([(0,4),(0,6),(0,7),(5,3),(6,1),(7,2),(7,5)],8)
[1,5,7,8,3,6,4,2]=>([(0,3),(0,5),(0,6),(4,1),(5,2),(5,7),(6,4),(6,7)],8)
[5,3,7,8,1,6,4,2]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(6,3)],8)
[7,8,1,5,6,3,4,2]=>([(0,5),(1,4),(1,6),(1,7),(6,3),(7,2)],8)
[7,1,8,5,6,3,4,2]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(5,3),(6,2)],8)
[7,1,5,8,6,3,4,2]=>([(0,7),(1,4),(1,5),(1,6),(5,3),(6,2),(6,7)],8)
[5,1,7,8,3,6,4,2]=>([(0,6),(0,7),(1,4),(1,5),(1,7),(5,3),(5,6),(7,2)],8)
[3,1,7,8,5,6,4,2]=>([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(6,4),(7,3)],8)
[1,3,7,8,5,6,4,2]=>([(0,4),(0,7),(5,3),(6,2),(7,1),(7,5),(7,6)],8)
[3,1,7,5,8,6,4,2]=>([(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(6,4),(7,2),(7,4)],8)
[5,1,7,3,8,6,4,2]=>([(0,6),(0,7),(1,3),(1,4),(1,7),(4,2),(4,5),(4,6),(7,5)],8)
[7,1,5,3,8,6,4,2]=>([(0,7),(1,3),(1,4),(1,5),(4,6),(4,7),(5,2),(5,6),(5,7)],8)
[7,1,5,8,3,6,4,2]=>([(0,7),(1,3),(1,4),(1,5),(4,6),(4,7),(5,2),(5,6)],8)
[7,3,5,8,1,6,4,2]=>([(0,7),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6),(4,7)],8)
[5,3,7,1,8,6,4,2]=>([(0,4),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(4,6)],8)
[3,5,7,1,8,6,4,2]=>([(0,4),(0,7),(1,3),(1,5),(1,6),(1,7),(2,5),(4,2),(4,6)],8)
[1,7,5,3,8,6,4,2]=>([(0,2),(0,3),(0,4),(0,5),(3,7),(4,6),(4,7),(5,1),(5,6),(5,7)],8)
[5,7,3,1,8,6,4,2]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(2,3),(2,5),(2,6),(2,7),(4,7)],8)
[5,7,3,8,6,1,4,2]=>([(0,5),(0,6),(0,7),(1,3),(1,5),(2,4),(2,6),(4,7)],8)
[3,7,5,8,1,6,4,2]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(1,7),(2,5),(3,5),(3,6)],8)
[1,7,5,8,3,6,4,2]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(4,7),(5,1),(5,7)],8)
[1,7,8,5,3,6,4,2]=>([(0,3),(0,4),(0,5),(0,6),(4,7),(5,2),(6,1),(6,7)],8)
[5,7,8,6,3,1,4,2]=>([(0,7),(1,5),(1,7),(2,4),(2,6),(6,3)],8)
[7,5,8,6,1,3,4,2]=>([(0,7),(1,5),(1,7),(2,4),(2,6),(6,3)],8)
[5,7,8,1,6,3,4,2]=>([(0,6),(0,7),(1,4),(1,5),(1,7),(5,3),(6,2)],8)
[3,7,8,1,5,6,4,2]=>([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(5,3),(7,2)],8)
[1,7,8,3,5,6,4,2]=>([(0,4),(0,6),(0,7),(5,3),(6,1),(7,2),(7,5)],8)
[1,7,3,8,5,6,4,2]=>([(0,3),(0,4),(0,6),(4,7),(5,2),(6,1),(6,5),(6,7)],8)
[3,7,1,8,5,6,4,2]=>([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(4,5),(7,2)],8)
[5,7,1,8,3,6,4,2]=>([(0,4),(0,7),(1,3),(1,5),(1,6),(4,6),(5,2),(5,7)],8)
[5,7,1,8,6,3,4,2]=>([(0,4),(0,7),(1,3),(1,5),(1,6),(1,7),(4,6),(5,2)],8)
[7,5,1,8,6,3,4,2]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(4,5)],8)
[7,5,8,1,6,3,4,2]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(2,7),(4,5)],8)
[7,8,5,1,6,3,4,2]=>([(0,7),(1,5),(2,4),(2,6),(2,7),(6,3)],8)
[7,5,8,1,3,6,4,2]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(4,5),(4,7)],8)
[7,5,1,8,3,6,4,2]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(4,5),(4,6)],8)
[7,5,1,3,8,6,4,2]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(4,5),(4,6),(4,7)],8)
[5,7,1,3,8,6,4,2]=>([(0,4),(0,7),(1,3),(1,5),(4,6),(5,2),(5,6),(5,7)],8)
[3,7,1,5,8,6,4,2]=>([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(4,5),(7,2),(7,5)],8)
[1,7,3,5,8,6,4,2]=>([(0,3),(0,4),(0,6),(4,7),(5,2),(5,7),(6,1),(6,5)],8)
[1,5,3,7,8,6,4,2]=>([(0,3),(0,4),(0,5),(4,6),(4,7),(5,2),(5,6),(5,7),(7,1)],8)
[3,5,1,7,8,6,4,2]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(1,7),(4,5),(4,7),(7,2)],8)
[5,3,1,7,8,6,4,2]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[7,3,1,5,8,6,4,2]=>([(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(7,3),(7,5)],8)
[7,3,1,8,5,6,4,2]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3)],8)
[7,8,3,1,5,6,4,2]=>([(0,6),(0,7),(1,3),(2,4),(2,6),(2,7),(7,5)],8)
[7,1,8,3,5,6,4,2]=>([(0,7),(1,4),(1,6),(1,7),(5,3),(6,2),(6,5)],8)
[7,1,3,8,5,6,4,2]=>([(0,7),(1,4),(1,6),(5,3),(6,2),(6,5),(6,7)],8)
[7,1,3,5,8,6,4,2]=>([(0,7),(1,4),(1,6),(5,3),(5,7),(6,2),(6,5)],8)
[3,1,5,7,8,6,4,2]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(5,3),(7,2),(7,5)],8)
[5,7,3,4,8,6,1,2]=>([(0,3),(1,5),(2,4),(2,6),(4,7),(5,6),(5,7)],8)
[5,7,3,4,8,1,6,2]=>([(0,5),(1,4),(1,7),(2,3),(2,7),(4,6),(5,6),(5,7)],8)
[5,7,3,4,1,8,6,2]=>([(0,5),(1,4),(1,6),(2,3),(2,6),(2,7),(4,7),(5,6),(5,7)],8)
[5,7,3,1,4,6,2,8]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(3,7),(4,7),(5,6),(6,7)],8)
[5,7,3,1,4,8,6,2]=>([(0,5),(1,4),(1,6),(2,3),(2,5),(4,7),(5,6),(5,7)],8)
[5,3,7,4,1,2,6,8]=>([(0,5),(0,7),(1,3),(2,4),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[5,3,7,1,4,2,6,8]=>([(0,4),(0,7),(1,4),(1,5),(2,3),(2,5),(3,7),(4,6),(5,7),(7,6)],8)
[5,3,7,1,4,2,8,6]=>([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(3,7),(4,7),(5,6),(5,7)],8)
[3,7,5,1,2,8,6,4]=>([(0,4),(1,2),(1,3),(1,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7)],8)
[7,8,3,5,1,2,6,4]=>([(0,3),(1,5),(2,4),(2,6),(4,7),(5,6),(5,7)],8)
[7,3,5,8,1,2,6,4]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,5,1,2,6,8,4]=>([(0,4),(1,2),(1,3),(1,6),(2,7),(3,5),(4,5),(4,6),(5,7)],8)
[6,1,4,3,5,2,8,7]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8)
[2,5,7,3,8,4,1,6]=>([(0,7),(1,4),(1,5),(2,7),(3,6),(4,3),(4,7),(5,2),(5,6)],8)
[5,4,7,8,6,1,3,2]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(7,3)],8)
[7,5,6,2,8,3,1,4]=>([(0,7),(1,6),(2,4),(3,5),(3,7),(4,7),(5,6)],8)
[4,7,2,5,8,3,1,6]=>([(0,7),(1,3),(1,5),(2,4),(2,5),(3,6),(4,7),(5,6),(5,7)],8)
[6,2,4,5,1,3,8,7]=>([(0,6),(0,7),(1,5),(2,3),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,4,6,3,2,8,7]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[3,5,6,2,4,1,8,7]=>([(0,6),(0,7),(1,5),(2,3),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,6,7,5,4,1,2]=>([(0,6),(1,3),(1,4),(1,5),(1,7),(7,2)],8)
[6,2,7,8,3,4,1,5]=>([(0,7),(1,6),(2,4),(2,7),(4,5),(5,6),(7,3)],8)
[2,5,3,4,8,1,7,6]=>([(0,6),(0,7),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,2)],8)
[8,7,1,2,5,3,4,6]=>([(2,6),(3,7),(4,7),(5,4),(6,3),(6,5)],8)
[5,1,8,2,3,4,7,6]=>([(0,5),(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(3,2),(4,3)],8)
[5,4,7,6,2,8,1,3]=>([(0,4),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7)],8)
[3,7,8,1,5,4,6,2]=>([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(4,2),(6,5),(7,5)],8)
[7,1,3,4,6,8,5,2]=>([(0,7),(1,3),(1,5),(4,7),(5,6),(6,2),(6,4)],8)
[8,3,6,5,7,1,4,2]=>([(1,3),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[5,8,7,1,4,6,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,7),(5,7),(6,2)],8)
[4,7,6,1,8,3,5,2]=>([(0,2),(0,5),(0,7),(1,3),(1,4),(1,6),(3,7),(4,7),(5,6)],8)
[4,7,2,6,3,8,5,1]=>([(1,4),(1,5),(2,3),(2,5),(2,6),(3,7),(4,6),(4,7),(5,7)],8)
[2,1,8,4,6,7,3,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(6,4),(7,2),(7,4)],8)
[4,7,8,6,3,1,2,5]=>([(0,7),(1,5),(2,4),(2,6),(2,7),(5,7),(6,3)],8)
[3,8,1,5,6,7,2,4]=>([(0,4),(0,7),(1,3),(1,6),(1,7),(4,6),(5,2),(7,5)],8)
[6,7,2,4,8,5,3,1]=>([(1,5),(2,4),(2,6),(5,7),(6,3),(6,7)],8)
[2,8,3,6,7,5,1,4]=>([(0,7),(1,4),(1,6),(5,3),(6,2),(6,5),(6,7)],8)
[8,2,1,7,6,3,5,4]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(7,3),(7,4)],8)
[3,2,4,5,8,1,7,6]=>([(0,5),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(5,3)],8)
[7,4,6,3,2,1,8,5]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[4,7,3,2,1,8,6,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7)],8)
[6,4,7,5,2,3,8,1]=>([(1,6),(2,5),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[6,4,8,1,7,3,2,5]=>([(0,5),(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(3,7),(4,7)],8)
[4,8,7,2,3,1,5,6]=>([(0,7),(1,5),(2,3),(2,4),(2,7),(5,7),(7,6)],8)
[4,2,3,1,8,7,5,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)
[7,6,8,1,3,5,2,4]=>([(0,6),(1,6),(2,3),(2,4),(3,7),(4,5),(4,7)],8)
[6,7,5,2,3,1,8,4]=>([(0,7),(1,6),(1,7),(2,4),(3,5),(4,7),(5,6),(5,7)],8)
[4,7,2,6,5,1,8,3]=>([(0,4),(0,7),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(5,7),(6,7)],8)
[6,4,2,1,8,5,7,3]=>([(0,6),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(6,5)],8)
[7,2,1,5,6,8,4,3]=>([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(7,3)],8)
[8,7,2,6,4,1,5,3]=>([(2,6),(2,7),(3,4),(3,5),(3,6),(5,7)],8)
[6,7,8,2,5,3,1,4]=>([(0,7),(1,6),(2,4),(2,5),(5,7),(6,3)],8)
[2,1,7,3,6,8,5,4]=>([(0,6),(0,7),(1,6),(1,7),(4,5),(6,5),(7,2),(7,3),(7,4)],8)
[2,1,5,7,8,4,6,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(6,4),(7,2),(7,4)],8)
[2,5,7,8,3,6,1,4]=>([(0,7),(1,3),(1,5),(3,6),(3,7),(4,2),(5,4),(5,6)],8)
[6,4,1,5,7,2,8,3]=>([(0,6),(1,5),(2,3),(2,5),(3,4),(3,7),(5,6),(6,7)],8)
[7,4,8,1,2,5,6,3]=>([(0,6),(1,6),(1,7),(2,4),(4,5),(4,7),(7,3)],8)
[4,2,7,8,6,3,5,1]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(4,7),(6,3)],8)
[6,1,7,4,3,2,8,5]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[6,8,3,4,2,1,7,5]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,7),(5,6),(5,7)],8)
[4,2,6,1,5,7,8,3]=>([(0,4),(0,7),(1,5),(1,7),(2,4),(2,5),(2,7),(5,6),(6,3),(7,6)],8)
[2,4,6,7,3,5,8,1]=>([(1,3),(1,5),(2,7),(3,6),(4,2),(5,4),(5,6),(6,7)],8)
[6,5,8,3,7,4,1,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,7)],8)
[7,1,4,8,3,5,6,2]=>([(0,6),(1,3),(1,4),(1,5),(4,7),(5,6),(5,7),(7,2)],8)
[6,8,7,5,3,4,1,2]=>([(1,5),(2,4),(3,6),(3,7)],8)
[4,8,6,3,1,5,7,2]=>([(0,7),(1,4),(1,7),(2,3),(2,5),(2,7),(5,6),(7,6)],8)
[3,4,8,2,5,7,6,1]=>([(1,7),(2,6),(6,3),(6,7),(7,4),(7,5)],8)
[2,5,7,4,8,6,1,3]=>([(0,7),(1,3),(1,4),(1,7),(2,5),(3,5),(3,6),(4,2),(4,6)],8)
[2,6,3,7,5,1,8,4]=>([(0,6),(0,7),(1,3),(1,4),(2,7),(3,5),(4,2),(4,5),(4,6),(5,7)],8)
[2,6,4,8,7,5,1,3]=>([(0,7),(1,3),(1,4),(1,7),(3,5),(3,6),(4,2),(4,5),(4,6)],8)
[6,3,7,2,8,5,1,4]=>([(0,7),(1,5),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(5,6)],8)
[3,6,2,5,8,7,1,4]=>([(0,7),(1,4),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[5,2,8,4,7,6,1,3]=>([(0,7),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6)],8)
[7,2,4,8,6,5,1,3]=>([(0,6),(1,7),(2,3),(2,6),(3,4),(3,5),(3,7)],8)
[6,2,4,8,7,5,1,3]=>([(0,5),(1,6),(1,7),(2,3),(2,5),(3,4),(3,6),(3,7)],8)
[2,4,5,8,7,6,1,3]=>([(0,7),(1,5),(1,7),(5,6),(6,2),(6,3),(6,4)],8)
[4,2,7,3,8,1,6,5]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5)],8)
[2,5,1,4,7,3,8,6]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,7),(4,3),(5,4),(5,7),(6,3),(6,7)],8)
[6,1,3,8,7,2,5,4]=>([(0,2),(0,3),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[3,1,5,6,2,8,7,4]=>([(0,3),(0,7),(1,4),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(7,2)],8)
[1,2,4,6,3,8,7,5]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,1),(3,7),(4,2),(4,3)],8)
[4,1,5,2,8,7,6,3]=>([(0,7),(1,3),(1,7),(3,2),(3,4),(3,5),(3,6),(7,4),(7,5),(7,6)],8)
[4,1,5,3,2,8,7,6]=>([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,2,3,5,1,8,6,4]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(3,6),(4,5),(4,7)],8)
[3,4,5,1,8,7,6,2]=>([(0,4),(1,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(4,2)],8)
[1,4,5,2,8,7,6,3]=>([(0,3),(0,4),(2,5),(2,6),(2,7),(3,2),(4,1),(4,5),(4,6),(4,7)],8)
[1,6,4,2,8,7,5,3]=>([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,5),(4,6),(4,7)],8)
[7,4,2,5,1,8,6,3]=>([(0,7),(1,5),(2,4),(2,6),(2,7),(3,4),(3,5),(5,6),(5,7)],8)
[4,6,2,7,5,1,8,3]=>([(0,4),(0,7),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6),(5,7),(6,7)],8)
[1,5,3,6,2,8,7,4]=>([(0,1),(0,2),(0,3),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(7,4),(7,5)],8)
[1,5,8,3,2,7,6,4]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,6),(4,7)],8)
[4,5,8,2,1,7,6,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(3,6),(3,7)],8)
[3,6,2,5,1,4,8,7]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,8,7,1,3,6,5]=>([(0,7),(1,4),(1,7),(4,2),(4,3),(4,5),(4,6),(7,5),(7,6)],8)
[1,3,8,2,4,7,6,5]=>([(0,5),(0,6),(5,7),(6,1),(6,7),(7,2),(7,3),(7,4)],8)
[3,5,2,1,7,4,8,6]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(3,5),(3,7),(6,4),(6,5),(7,4)],8)
[6,3,1,7,2,8,5,4]=>([(0,7),(1,4),(1,5),(1,7),(2,3),(2,7),(3,4),(3,5),(3,6),(7,6)],8)
[7,5,1,2,8,6,4,3]=>([(0,3),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,5,2,3,8,7,6,4]=>([(0,2),(0,4),(2,5),(2,6),(2,7),(3,1),(3,5),(3,6),(3,7),(4,3)],8)
[4,5,1,2,8,7,6,3]=>([(0,3),(1,4),(3,5),(3,6),(3,7),(4,2),(4,5),(4,6),(4,7)],8)
[6,4,1,2,8,7,5,3]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(3,5),(3,6),(3,7)],8)
[5,2,8,1,3,7,6,4]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(7,3),(7,4),(7,5)],8)
[4,7,5,6,8,3,1,2]=>([(1,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)
[8,6,4,7,5,3,1,2]=>([(2,7),(3,6),(4,5),(4,7)],8)
[7,5,2,6,4,1,3,8]=>([(0,7),(1,6),(2,5),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,6,3,7,5,8,4,2]=>([(0,3),(0,4),(0,5),(2,7),(4,6),(5,1),(5,2),(5,6),(6,7)],8)
[1,3,7,4,5,8,6,2]=>([(0,3),(0,6),(2,7),(4,5),(5,1),(5,7),(6,2),(6,4)],8)
[7,2,6,3,4,1,5,8]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,7),(5,6),(6,7)],8)
[8,3,7,4,6,5,1,2]=>([(1,6),(2,5),(2,7),(7,3),(7,4)],8)
[6,8,4,7,5,3,1,2]=>([(1,6),(2,5),(2,7),(3,4),(3,7)],8)
[4,8,7,5,6,3,1,2]=>([(1,6),(2,4),(2,5),(2,7),(7,3)],8)
[3,8,7,6,4,5,1,2]=>([(0,6),(1,3),(1,4),(1,5),(1,7),(7,2)],8)
[1,6,5,2,8,3,7,4]=>([(0,2),(0,3),(0,5),(2,6),(2,7),(3,6),(3,7),(4,1),(4,7),(5,4),(5,6)],8)
[8,6,5,2,1,4,3,7]=>([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,7,6,3,1,4,5,8]=>([(0,6),(1,2),(1,3),(1,4),(2,7),(3,7),(4,6),(5,7),(6,5)],8)
[6,8,5,3,2,1,4,7]=>([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(6,7)],8)
[2,7,6,4,5,1,3,8]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,2),(6,7)],8)
[5,7,2,6,4,1,3,8]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[6,1,3,7,5,8,4,2]=>([(0,7),(1,3),(1,5),(4,6),(5,2),(5,4),(5,7),(7,6)],8)
[4,1,7,3,6,8,5,2]=>([(0,2),(0,3),(0,7),(1,5),(1,6),(1,7),(3,5),(3,6),(6,4),(7,4)],8)
[8,1,6,4,3,7,5,2]=>([(1,2),(1,3),(1,4),(1,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,7,4,8,6,3,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(5,4),(6,3),(7,2),(7,3),(7,4)],8)
[1,8,6,3,7,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,2),(6,7)],8)
[1,8,2,7,3,6,5,4]=>([(0,5),(0,6),(6,4),(6,7),(7,1),(7,2),(7,3)],8)
[2,1,3,8,4,7,5,6]=>([(0,7),(1,7),(5,3),(6,2),(6,5),(7,4),(7,6)],8)
[8,1,2,7,4,3,6,5]=>([(1,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3),(5,4)],8)
[5,3,1,6,8,4,7,2]=>([(0,7),(1,5),(1,7),(2,3),(2,5),(2,7),(5,6),(7,4),(7,6)],8)
[6,2,8,7,1,4,3,5]=>([(0,4),(0,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3),(7,3)],8)
[8,7,2,1,5,4,3,6]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[8,2,3,1,4,6,5,7]=>([(1,6),(2,3),(3,6),(4,7),(5,7),(6,4),(6,5)],8)
[2,4,8,3,1,5,6,7]=>([(0,7),(1,4),(1,5),(4,7),(5,3),(5,7),(6,2),(7,6)],8)
[3,4,2,7,1,5,6,8]=>([(0,7),(1,5),(1,7),(2,4),(3,6),(4,5),(4,7),(5,6),(7,3)],8)
[4,7,3,8,2,1,5,6]=>([(0,7),(1,7),(2,6),(2,7),(3,5),(3,7),(5,6),(7,4)],8)
[5,2,7,3,1,4,6,8]=>([(0,7),(1,3),(1,6),(2,5),(2,6),(3,7),(5,4),(6,4),(7,5)],8)
[8,3,7,2,1,5,4,6]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(6,5),(7,5)],8)
[1,3,7,2,8,4,6,5]=>([(0,4),(0,5),(3,6),(4,6),(4,7),(5,3),(5,7),(7,1),(7,2)],8)
[1,4,2,5,8,6,7,3]=>([(0,4),(0,6),(4,7),(5,2),(6,1),(6,7),(7,3),(7,5)],8)
[6,5,3,8,2,1,4,7]=>([(0,6),(1,6),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(6,7)],8)
[2,6,4,5,7,1,3,8]=>([(0,7),(1,3),(1,4),(1,7),(2,5),(3,5),(4,2),(5,6),(7,6)],8)
[5,4,6,2,7,1,3,8]=>([(0,4),(1,5),(2,5),(3,4),(3,6),(4,7),(5,6),(6,7)],8)
[7,6,3,1,8,4,5,2]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(6,5)],8)
[7,6,2,1,8,5,3,4]=>([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4)],8)
[1,7,5,8,6,4,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,7)],8)
[6,5,1,2,8,3,7,4]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(5,4),(5,7)],8)
[8,6,1,4,3,7,5,2]=>([(1,7),(2,3),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,4,1,3,7,5,2]=>([(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(5,6),(5,7)],8)
[6,5,7,1,3,8,4,2]=>([(0,6),(1,6),(2,3),(2,4),(4,5),(4,7),(6,7)],8)
[5,8,3,1,7,4,6,2]=>([(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(5,6)],8)
[8,3,1,7,5,4,6,2]=>([(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(6,4),(7,4)],8)
[1,3,8,7,4,6,5,2]=>([(0,5),(0,7),(6,3),(6,4),(7,1),(7,2),(7,6)],8)
[1,2,8,7,6,3,5,4]=>([(0,7),(6,4),(6,5),(7,1),(7,2),(7,3),(7,6)],8)
[8,2,1,7,6,4,3,5]=>([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3),(7,3)],8)
[2,3,1,8,7,4,5,6]=>([(0,5),(0,6),(0,7),(1,3),(3,5),(3,6),(3,7),(4,2),(7,4)],8)
[2,4,1,8,5,7,3,6]=>([(0,3),(0,7),(1,5),(1,6),(1,7),(3,5),(3,6),(6,2),(6,4),(7,4)],8)
[5,8,2,1,7,6,3,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(5,4)],8)
[6,2,7,1,8,5,3,4]=>([(0,7),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(6,3),(7,4)],8)
[8,7,1,6,5,4,3,2]=>([(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[7,1,8,3,6,5,4,2]=>([(0,7),(1,5),(1,6),(1,7),(6,2),(6,3),(6,4)],8)
[4,1,8,7,5,6,3,2]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8)
[3,5,8,7,2,6,4,1]=>([(1,3),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7)],8)
[5,8,2,7,1,6,4,3]=>([(0,4),(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7)],8)
[2,1,6,4,5,8,3,7]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,7),(4,7),(5,2),(6,3),(6,7)],8)
[8,6,3,7,5,2,1,4]=>([(1,7),(2,7),(3,6),(4,5),(4,6),(4,7)],8)
[4,6,3,8,5,2,1,7]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(4,6),(4,7),(5,7)],8)
[4,6,3,7,5,2,8,1]=>([(1,7),(2,5),(2,6),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,5,7,8,2,6,1,4]=>([(0,7),(1,3),(1,7),(2,6),(2,7),(3,5),(3,6),(5,4)],8)
[8,2,3,4,6,1,5,7]=>([(1,3),(2,6),(3,5),(4,7),(5,4),(5,6),(6,7)],8)
[7,2,3,4,6,8,5,1]=>([(1,7),(2,5),(4,7),(5,6),(6,3),(6,4)],8)
[4,8,3,7,5,1,6,2]=>([(0,5),(0,6),(1,3),(1,7),(2,4),(2,5),(2,6),(6,7)],8)
[5,2,3,4,8,7,1,6]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(4,5),(4,6),(4,7)],8)
[5,2,3,4,6,8,1,7]=>([(0,7),(1,6),(2,4),(4,5),(5,7),(7,3),(7,6)],8)
[4,2,8,5,7,6,1,3]=>([(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(7,3),(7,4)],8)
[3,7,6,4,5,1,8,2]=>([(0,5),(0,7),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(6,2)],8)
[4,8,3,7,5,2,1,6]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(6,7)],8)
[8,7,3,6,5,1,2,4]=>([(2,6),(3,4),(3,5),(3,7),(6,7)],8)
[4,2,7,5,8,6,3,1]=>([(1,5),(1,7),(2,4),(2,5),(2,7),(5,6),(7,3),(7,6)],8)
[5,8,1,7,3,6,4,2]=>([(0,4),(0,6),(0,7),(1,3),(1,5),(1,7),(5,2),(5,6)],8)
[5,2,7,8,4,6,3,1]=>([(1,6),(1,7),(2,3),(2,4),(2,6),(4,7),(6,5)],8)
[5,2,8,3,7,6,1,4]=>([(0,7),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7)],8)
[8,2,7,3,1,6,4,5]=>([(1,6),(1,7),(2,4),(2,5),(5,6),(5,7),(7,3)],8)
[6,2,3,4,8,5,1,7]=>([(0,3),(1,7),(2,6),(2,7),(3,5),(4,7),(5,4),(5,6)],8)
[6,2,3,4,1,8,5,7]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(3,4),(4,5),(4,7),(5,6)],8)
[7,2,3,4,1,8,6,5]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(4,5),(4,6),(4,7)],8)
[7,2,3,4,1,5,8,6]=>([(0,7),(1,6),(2,4),(4,5),(5,7),(7,3),(7,6)],8)
[1,2,3,4,8,7,5,6]=>([(0,6),(4,7),(5,3),(6,4),(7,1),(7,2),(7,5)],8)
[1,2,8,5,3,4,6,7]=>([(0,6),(2,7),(3,7),(5,3),(6,1),(6,2),(6,5),(7,4)],8)
[1,8,4,2,3,5,6,7]=>([(0,3),(0,4),(0,6),(2,7),(4,7),(5,1),(6,2),(7,5)],8)
[8,6,7,4,1,5,3,2]=>([(1,7),(2,6),(3,4),(3,5),(3,7)],8)
[4,8,6,7,5,1,3,2]=>([(0,5),(0,6),(1,3),(1,4),(1,7),(7,2)],8)
[7,1,8,4,6,5,2,3]=>([(0,7),(1,5),(1,6),(1,7),(5,4),(6,2),(6,3)],8)
[8,7,1,5,4,6,2,3]=>([(2,4),(2,5),(2,6),(4,7),(5,7),(6,3)],8)
[8,5,7,1,4,6,3,2]=>([(1,5),(1,7),(2,3),(2,4),(2,6),(6,7)],8)
[6,4,8,5,1,7,3,2]=>([(0,6),(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(5,7)],8)
[4,8,5,7,1,6,3,2]=>([(0,3),(0,6),(1,4),(1,5),(1,7),(6,2),(6,7)],8)
[8,4,7,1,5,6,3,2]=>([(1,5),(1,7),(2,3),(2,4),(2,7),(7,6)],8)
[8,7,1,4,5,6,3,2]=>([(2,4),(2,5),(2,7),(6,3),(7,6)],8)
[8,7,4,5,6,1,3,2]=>([(2,6),(3,4),(3,5),(6,7)],8)
[8,7,5,1,4,6,2,3]=>([(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,7,2,5,1,4,6,3]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(6,7)],8)
[4,8,7,2,5,1,6,3]=>([(0,5),(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(6,7)],8)
[1,6,4,8,5,2,7,3]=>([(0,3),(0,4),(0,5),(2,7),(3,6),(3,7),(4,1),(4,7),(5,2),(5,6)],8)
[8,7,1,4,2,5,6,3]=>([(2,4),(2,6),(4,7),(6,3),(6,7),(7,5)],8)
[8,7,5,1,2,4,6,3]=>([(2,4),(3,7),(4,5),(4,6),(6,7)],8)
[7,1,8,5,6,2,3,4]=>([(0,7),(1,5),(1,6),(1,7),(4,3),(5,4),(6,2)],8)
[3,8,7,1,2,5,6,4]=>([(0,5),(1,3),(1,4),(1,6),(1,7),(5,6),(5,7),(7,2)],8)
[3,5,8,7,1,2,6,4]=>([(0,4),(1,5),(1,7),(4,6),(4,7),(5,2),(5,3),(5,6)],8)
[2,3,8,5,7,1,6,4]=>([(0,6),(0,7),(1,5),(4,3),(4,7),(5,2),(5,4),(5,6)],8)
[3,8,7,1,5,6,2,4]=>([(0,5),(0,7),(1,3),(1,4),(1,6),(1,7),(5,6),(7,2)],8)
[3,5,8,7,1,6,2,4]=>([(0,4),(0,7),(1,5),(1,6),(4,6),(5,2),(5,3),(5,7)],8)
[2,3,8,6,7,5,1,4]=>([(0,7),(1,6),(5,4),(6,2),(6,3),(6,5),(6,7)],8)
[3,2,8,6,7,5,1,4]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3)],8)
[4,1,8,6,2,7,5,3]=>([(0,3),(0,6),(0,7),(1,5),(1,6),(1,7),(3,2),(3,4),(3,5),(7,4)],8)
[8,7,4,1,2,6,5,3]=>([(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[1,3,8,6,7,5,2,4]=>([(0,4),(0,6),(4,7),(5,3),(6,1),(6,2),(6,5),(6,7)],8)
[5,7,1,8,2,6,3,4]=>([(0,5),(0,7),(1,3),(1,6),(3,7),(4,2),(5,4),(5,6)],8)
[2,8,7,1,5,6,3,4]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(6,5),(7,4)],8)
[8,7,1,5,2,4,6,3]=>([(2,5),(2,6),(4,7),(5,7),(6,3),(6,4)],8)
[7,1,8,2,4,6,5,3]=>([(0,7),(1,6),(1,7),(5,3),(5,4),(6,2),(6,5)],8)
[1,6,2,8,4,7,5,3]=>([(0,3),(0,5),(3,6),(3,7),(4,2),(4,7),(5,1),(5,4),(5,6)],8)
[1,3,8,5,7,2,6,4]=>([(0,3),(0,5),(3,6),(3,7),(4,2),(4,7),(5,1),(5,4),(5,6)],8)
[1,8,3,7,2,5,6,4]=>([(0,3),(0,4),(0,5),(4,6),(4,7),(5,2),(5,6),(5,7),(7,1)],8)
[2,8,7,1,3,5,6,4]=>([(0,7),(1,3),(1,4),(1,7),(6,2),(7,5),(7,6)],8)
[5,7,1,8,2,3,6,4]=>([(0,5),(0,6),(1,3),(1,7),(3,6),(4,2),(4,7),(5,4)],8)
[7,1,8,2,3,5,6,4]=>([(0,7),(1,5),(1,7),(4,3),(5,6),(6,2),(6,4)],8)
[8,6,3,7,4,1,5,2]=>([(1,6),(2,4),(2,7),(3,5),(3,6),(5,7)],8)
[4,2,8,6,7,5,1,3]=>([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(6,3)],8)
[8,4,2,7,5,6,1,3]=>([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[4,8,3,6,1,7,5,2]=>([(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(5,6)],8)
[8,3,4,7,5,1,6,2]=>([(1,6),(2,5),(2,7),(4,7),(6,3),(6,4)],8)
[8,3,7,4,5,1,6,2]=>([(1,4),(1,7),(2,3),(2,6),(5,7),(6,5)],8)
[8,7,4,2,5,6,1,3]=>([(2,7),(3,6),(4,6),(4,7),(7,5)],8)
[8,7,5,1,6,2,3,4]=>([(2,7),(3,4),(3,7),(4,6),(6,5)],8)
[8,7,2,4,1,5,6,3]=>([(2,6),(2,7),(3,4),(3,6),(4,7),(7,5)],8)
[4,8,6,1,7,2,5,3]=>([(0,5),(0,7),(1,3),(1,4),(1,6),(4,7),(5,2),(5,6)],8)
[4,7,1,8,2,6,5,3]=>([(0,4),(0,5),(1,3),(1,6),(1,7),(3,5),(4,2),(4,6),(4,7)],8)
[4,2,8,6,7,1,5,3]=>([(0,4),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3)],8)
[8,7,4,1,2,5,6,3]=>([(2,7),(3,4),(4,6),(4,7),(7,5)],8)
[8,2,7,1,6,3,4,5]=>([(1,6),(1,7),(2,3),(2,6),(2,7),(4,5),(7,4)],8)
[8,2,7,1,3,6,4,5]=>([(1,7),(2,4),(2,7),(6,3),(7,5),(7,6)],8)
[2,8,3,6,7,1,5,4]=>([(0,6),(0,7),(1,3),(1,5),(4,2),(5,4),(5,6),(5,7)],8)
[8,7,2,1,3,5,6,4]=>([(2,7),(3,7),(5,6),(7,4),(7,5)],8)
[1,8,7,2,3,6,4,5]=>([(0,3),(0,4),(0,6),(5,2),(6,7),(7,1),(7,5)],8)
[1,8,7,2,6,3,4,5]=>([(0,3),(0,4),(0,7),(5,6),(6,2),(7,1),(7,5)],8)
[8,2,7,3,6,1,4,5]=>([(1,7),(2,4),(2,6),(6,3),(6,7),(7,5)],8)
[1,8,7,3,6,2,4,5]=>([(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,7),(7,2)],8)
[1,8,2,7,6,3,4,5]=>([(0,4),(0,7),(5,6),(6,3),(7,1),(7,2),(7,5)],8)
[8,2,7,4,1,5,6,3]=>([(1,6),(1,7),(2,3),(2,4),(2,6),(4,7),(7,5)],8)
[8,2,1,7,5,6,3,4]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,4),(7,3)],8)
[8,7,3,1,5,6,2,4]=>([(2,6),(2,7),(3,4),(3,6),(4,7),(6,5)],8)
[2,8,7,3,5,6,1,4]=>([(0,7),(1,3),(1,4),(1,6),(5,2),(6,5),(6,7)],8)
[8,3,1,6,7,5,2,4]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(4,7),(6,3)],8)
[8,5,2,1,6,7,4,3]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[1,5,2,8,6,7,4,3]=>([(0,4),(0,5),(4,6),(4,7),(5,2),(5,3),(5,6),(5,7),(7,1)],8)
[1,2,8,6,7,5,3,4]=>([(0,7),(5,4),(6,3),(7,1),(7,2),(7,5),(7,6)],8)
[1,8,3,6,7,5,2,4]=>([(0,3),(0,4),(0,6),(4,7),(5,2),(6,1),(6,5),(6,7)],8)
[8,2,3,6,7,5,1,4]=>([(1,7),(2,6),(5,4),(6,3),(6,5),(6,7)],8)
[8,3,7,2,5,6,1,4]=>([(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(6,5)],8)
[8,1,3,7,5,6,2,4]=>([(1,4),(1,6),(4,7),(5,3),(6,2),(6,5),(6,7)],8)
[8,4,1,2,7,5,6,3]=>([(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)
[8,1,4,2,6,7,5,3]=>([(1,4),(1,5),(4,6),(4,7),(5,3),(5,6),(5,7),(7,2)],8)
[1,2,8,6,7,3,5,4]=>([(0,7),(5,4),(6,2),(6,3),(7,1),(7,5),(7,6)],8)
[8,1,2,7,3,6,4,5]=>([(1,7),(5,4),(6,3),(6,5),(7,2),(7,6)],8)
[8,1,7,3,6,2,4,5]=>([(1,3),(1,4),(1,6),(4,7),(6,2),(6,7),(7,5)],8)
[8,1,7,2,6,3,4,5]=>([(1,4),(1,7),(5,6),(6,3),(7,2),(7,5)],8)
[8,1,7,2,3,6,4,5]=>([(1,4),(1,6),(5,3),(6,7),(7,2),(7,5)],8)
[8,1,3,7,2,5,6,4]=>([(1,4),(1,5),(4,6),(4,7),(5,3),(5,6),(5,7),(7,2)],8)
[1,8,3,6,7,2,5,4]=>([(0,2),(0,3),(0,5),(3,6),(3,7),(4,1),(5,4),(5,6),(5,7)],8)
[1,7,8,2,3,6,5,4]=>([(0,5),(0,6),(5,4),(6,7),(7,1),(7,2),(7,3)],8)
[8,3,7,1,2,5,6,4]=>([(1,5),(2,3),(2,6),(2,7),(5,6),(5,7),(7,4)],8)
[8,7,1,2,3,6,4,5]=>([(2,6),(5,4),(6,7),(7,3),(7,5)],8)
[2,8,5,7,4,6,3,1]=>([(1,3),(1,4),(1,5),(1,6),(5,7),(6,2),(6,7)],8)
[3,1,8,5,7,4,2,6]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(5,7),(6,2),(6,7)],8)
[8,3,5,7,4,2,6,1]=>([(2,7),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[8,3,6,2,4,5,7,1]=>([(2,6),(3,4),(3,6),(4,7),(5,7),(6,5)],8)
[2,8,6,4,3,5,7,1]=>([(1,2),(1,3),(1,4),(1,5),(3,7),(4,6),(5,6),(6,7)],8)
[2,6,8,3,5,4,7,1]=>([(1,5),(1,6),(3,7),(4,7),(5,2),(5,7),(6,3),(6,4)],8)
[2,7,5,8,4,6,3,1]=>([(1,2),(1,3),(1,4),(1,5),(3,7),(4,6),(5,6),(5,7)],8)
[8,4,2,7,6,1,3,5]=>([(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(6,7)],8)
[4,8,1,7,6,3,2,5]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(2,7),(3,7)],8)
[4,1,7,6,2,3,5,8]=>([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(4,7),(5,7),(6,7)],8)
[3,7,1,8,6,2,5,4]=>([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(2,7),(3,4),(3,5)],8)
[3,1,7,6,4,5,2,8]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2)],8)
[3,1,7,5,8,4,2,6]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,7),(4,7),(5,3),(6,3),(6,7)],8)
[3,1,6,8,7,5,2,4]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(4,5),(7,2),(7,3)],8)
[6,3,8,7,5,2,4,1]=>([(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7)],8)
[7,3,5,8,4,2,6,1]=>([(1,7),(2,6),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[7,3,6,4,2,8,5,1]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[7,8,3,6,2,5,4,1]=>([(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8)
[7,4,8,2,1,6,3,5]=>([(0,4),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(5,6)],8)
[8,7,4,6,3,2,5,1]=>([(3,7),(4,7),(5,6),(5,7)],8)
[7,8,5,2,1,4,3,6]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(5,7),(6,7)],8)
[7,5,2,3,1,4,8,6]=>([(0,6),(1,7),(2,5),(2,7),(3,4),(4,6),(6,5),(6,7)],8)
[7,4,6,2,3,8,1,5]=>([(0,7),(1,6),(2,5),(3,4),(3,6),(4,7),(5,6),(5,7)],8)
[6,4,2,5,8,3,7,1]=>([(1,6),(1,7),(2,5),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[4,6,5,8,1,3,2,7]=>([(0,2),(0,3),(1,4),(1,5),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,1,5,3,8,2,6]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(3,7),(4,7),(5,6),(5,7)],8)
[4,7,8,1,3,6,2,5]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(3,7),(4,6),(4,7),(5,2)],8)
[5,7,1,3,4,6,2,8]=>([(0,4),(0,6),(1,2),(1,5),(2,7),(3,6),(4,7),(5,3),(6,7)],8)
[5,7,1,4,2,3,6,8]=>([(0,4),(0,7),(1,3),(1,5),(2,7),(3,7),(4,6),(5,2),(7,6)],8)
[5,8,1,3,2,4,6,7]=>([(0,5),(0,7),(1,3),(1,4),(3,6),(4,6),(6,7),(7,2)],8)
[4,8,6,1,3,2,7,5]=>([(0,4),(0,5),(1,2),(1,3),(1,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,6,2,1,3,7,5]=>([(1,5),(2,5),(3,4),(3,6),(4,7),(5,6),(5,7)],8)
[5,4,8,7,2,3,6,1]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,7)],8)
[5,4,8,7,3,1,2,6]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,7)],8)
[6,8,3,7,2,5,4,1]=>([(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,7)],8)
[5,4,6,8,2,3,7,1]=>([(1,6),(2,6),(3,4),(4,7),(6,5),(6,7)],8)
[5,7,4,2,8,3,6,1]=>([(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)
[6,4,7,2,1,8,3,5]=>([(0,5),(1,5),(1,6),(2,4),(2,7),(3,4),(3,7),(4,6),(5,7)],8)
[6,5,3,4,1,2,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,5,4,1,3,2,7]=>([(0,7),(1,7),(2,4),(2,7),(3,5),(3,6),(5,7),(6,7)],8)
[6,4,3,7,1,5,2,8]=>([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[7,4,2,6,1,5,3,8]=>([(0,7),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[7,4,2,5,6,1,3,8]=>([(0,6),(1,7),(2,5),(3,5),(3,6),(4,7),(5,7),(6,4)],8)
[6,4,2,8,1,5,7,3]=>([(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(7,5)],8)
[6,3,7,8,2,5,1,4]=>([(0,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(6,4)],8)
[7,3,5,6,4,2,1,8]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,4,3,1,5,6,2,8]=>([(0,7),(1,6),(2,6),(3,4),(3,6),(4,7),(5,7),(6,5)],8)
[7,4,5,2,6,1,3,8]=>([(0,7),(1,5),(2,5),(2,6),(3,4),(4,6),(5,7),(6,7)],8)
[5,3,7,2,8,6,4,1]=>([(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(5,6)],8)
[5,3,8,2,6,7,4,1]=>([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[6,3,8,2,5,4,7,1]=>([(1,4),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[6,4,8,2,1,5,7,3]=>([(0,4),(0,7),(1,4),(1,7),(2,5),(2,7),(3,5),(3,6),(7,6)],8)
[6,4,3,1,8,2,7,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7)],8)
[5,3,7,8,2,6,4,1]=>([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(6,4)],8)
[4,7,8,5,6,3,2,1]=>([(3,4),(3,5),(4,7),(5,6)],8)
[5,3,7,6,8,2,4,1]=>([(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[5,7,8,4,6,2,1,3]=>([(0,6),(1,6),(2,7),(3,4),(3,7),(4,5)],8)
[5,8,4,3,6,7,1,2]=>([(0,7),(1,7),(2,5),(3,4),(3,7),(7,6)],8)
[5,8,6,4,7,2,1,3]=>([(0,7),(1,6),(2,6),(3,4),(3,5),(5,7)],8)
[5,3,8,6,2,7,4,1]=>([(1,5),(1,7),(2,4),(2,6),(3,4),(3,5),(3,6),(6,7)],8)
[4,7,5,8,6,3,2,1]=>([(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[4,8,6,7,5,3,2,1]=>([(3,4),(3,5),(3,6),(6,7)],8)
[6,3,8,7,2,4,1,5]=>([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(6,7)],8)
[5,3,8,7,2,6,4,1]=>([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[5,3,8,6,7,2,4,1]=>([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[5,3,7,8,6,2,4,1]=>([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[5,7,6,4,8,2,1,3]=>([(0,7),(1,6),(2,6),(3,4),(3,5),(4,7),(5,7)],8)
[5,8,4,6,7,2,1,3]=>([(0,7),(1,6),(2,6),(3,5),(3,7),(7,4)],8)
[6,4,2,8,1,7,3,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,6),(3,7),(4,5)],8)
[6,5,2,4,3,7,8,1]=>([(1,7),(2,7),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[5,4,6,2,8,7,1,3]=>([(0,4),(1,5),(2,5),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
[5,6,3,8,7,2,4,1]=>([(1,5),(2,5),(2,6),(2,7),(3,4),(4,6),(4,7)],8)
[6,7,4,3,1,8,2,5]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(3,5),(3,7),(4,7),(5,6)],8)
[5,7,4,3,6,8,1,2]=>([(0,7),(1,7),(2,4),(3,5),(3,7),(5,6),(7,6)],8)
[5,7,3,8,6,2,4,1]=>([(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(4,7)],8)
[4,5,8,6,7,3,2,1]=>([(3,4),(4,6),(4,7),(7,5)],8)
[4,6,8,5,7,3,2,1]=>([(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[5,6,8,3,7,2,4,1]=>([(1,6),(2,6),(2,7),(3,4),(4,5),(4,7)],8)
[5,4,6,8,2,7,1,3]=>([(0,7),(1,7),(2,5),(3,5),(3,6),(7,4),(7,6)],8)
[5,7,8,2,6,4,1,3]=>([(0,7),(1,4),(1,6),(2,3),(2,6),(2,7),(4,5)],8)
[3,6,8,5,7,1,4,2]=>([(0,4),(0,7),(1,3),(1,5),(1,7),(3,6),(5,2),(5,6)],8)
[1,7,4,8,6,2,3,5]=>([(0,3),(0,4),(0,5),(2,6),(3,7),(4,2),(5,1),(5,6),(5,7)],8)
[3,6,2,5,7,8,1,4]=>([(0,7),(1,5),(1,7),(2,3),(2,5),(2,7),(3,6),(5,6),(6,4)],8)
[5,2,7,4,6,8,1,3]=>([(0,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,6),(6,4),(7,4)],8)
[5,3,6,7,1,8,4,2]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(2,7),(4,7),(6,4)],8)
[4,2,5,6,7,1,8,3]=>([(0,7),(1,5),(1,7),(2,5),(2,6),(3,4),(4,6),(7,3)],8)
[8,1,3,6,7,2,4,5]=>([(1,3),(1,6),(3,7),(5,2),(6,5),(6,7),(7,4)],8)
[8,1,4,2,7,5,3,6]=>([(1,3),(1,4),(2,7),(3,5),(3,6),(4,2),(4,5),(4,6),(6,7)],8)
[6,1,3,8,2,7,4,5]=>([(0,5),(0,7),(1,3),(1,4),(3,6),(3,7),(4,5),(4,6),(4,7),(6,2)],8)
[1,7,5,2,8,6,3,4]=>([(0,2),(0,3),(0,5),(2,7),(3,6),(3,7),(4,1),(5,4),(5,6),(5,7)],8)
[3,6,4,8,1,5,7,2]=>([(0,4),(0,7),(1,2),(1,3),(2,5),(2,7),(3,5),(3,6),(7,6)],8)
[1,5,8,4,2,6,3,7]=>([(0,3),(0,4),(0,5),(2,6),(3,7),(4,1),(4,7),(5,2),(5,7),(7,6)],8)
[3,5,7,4,1,6,8,2]=>([(0,4),(0,7),(1,2),(1,5),(2,7),(3,6),(5,3),(5,7),(7,6)],8)
[3,5,7,1,2,6,4,8]=>([(0,3),(1,4),(1,6),(2,7),(3,5),(3,6),(4,2),(4,5),(5,7),(6,7)],8)
[4,5,1,8,2,3,7,6]=>([(0,3),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,2)],8)
[4,7,1,8,2,6,3,5]=>([(0,4),(0,6),(1,3),(1,5),(1,7),(2,5),(3,6),(4,2),(4,7)],8)
[7,5,1,2,3,8,6,4]=>([(0,3),(1,7),(2,6),(2,7),(3,5),(5,4),(5,6),(5,7)],8)
[5,2,6,1,3,4,8,7]=>([(0,6),(1,7),(2,6),(2,7),(3,4),(3,5),(6,3),(7,4),(7,5)],8)
[7,8,4,5,1,3,2,6]=>([(0,6),(1,5),(2,3),(2,4),(3,7),(4,7),(6,7)],8)
[6,7,1,3,2,5,4,8]=>([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[6,7,1,4,3,5,2,8]=>([(0,5),(1,2),(1,3),(1,4),(2,7),(3,6),(4,6),(5,7),(6,7)],8)
[7,8,2,3,1,5,4,6]=>([(0,6),(0,7),(1,3),(2,4),(4,6),(4,7),(6,5),(7,5)],8)
[7,8,2,4,3,5,1,6]=>([(0,6),(1,3),(2,4),(2,5),(4,7),(5,7),(7,6)],8)
[7,8,2,4,1,5,3,6]=>([(0,5),(0,7),(1,3),(2,4),(2,5),(4,7),(5,6),(7,6)],8)
[1,4,2,6,5,7,3,8]=>([(0,2),(0,3),(1,4),(2,6),(2,7),(3,1),(3,6),(3,7),(5,4),(6,5),(7,5)],8)
[5,6,1,4,2,7,3,8]=>([(0,4),(1,2),(1,5),(2,7),(3,6),(4,7),(5,3),(5,7),(7,6)],8)
[6,7,2,4,1,5,3,8]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(3,6),(4,7),(5,7),(6,7)],8)
[6,7,2,4,3,5,1,8]=>([(0,7),(1,3),(2,4),(2,5),(3,7),(4,6),(5,6),(6,7)],8)
[6,7,2,3,1,5,4,8]=>([(0,5),(0,6),(1,3),(2,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,7,3,5,4,8,1,2]=>([(0,6),(1,5),(2,3),(2,4),(3,7),(4,7),(6,7)],8)
[2,4,1,6,5,7,3,8]=>([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(4,3),(5,4),(6,4),(7,3)],8)
[1,5,2,6,4,7,3,8]=>([(0,3),(0,4),(1,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(7,6)],8)
[2,5,1,6,4,7,3,8]=>([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(4,3),(5,4),(6,4),(7,3)],8)
[3,6,5,7,4,8,1,2]=>([(0,5),(1,2),(1,3),(1,4),(2,7),(3,6),(4,6),(6,7)],8)
[5,6,2,4,3,7,1,8]=>([(0,6),(1,5),(2,3),(2,4),(3,7),(4,7),(5,7),(7,6)],8)
[4,5,2,6,1,7,3,8]=>([(0,3),(1,5),(1,7),(2,6),(2,7),(3,6),(5,4),(6,5),(7,4)],8)
[4,5,1,6,3,7,2,8]=>([(0,4),(1,2),(1,3),(1,5),(2,6),(3,7),(4,5),(5,7),(7,6)],8)
[4,5,3,6,1,7,2,8]=>([(0,6),(1,3),(2,4),(2,5),(3,6),(4,7),(5,7),(6,5)],8)
[5,6,3,4,1,7,2,8]=>([(0,4),(1,3),(2,5),(2,7),(3,7),(4,7),(5,6),(7,6)],8)
[5,6,1,4,3,7,2,8]=>([(0,5),(1,2),(1,3),(1,4),(2,7),(3,7),(4,6),(5,7),(7,6)],8)
[5,6,1,3,2,7,4,8]=>([(0,4),(1,2),(1,3),(2,5),(2,7),(3,5),(3,7),(4,7),(5,6),(7,6)],8)
[5,6,4,7,1,3,2,8]=>([(0,6),(1,5),(2,3),(2,4),(3,7),(4,7),(5,6),(6,7)],8)
[6,7,4,5,1,3,2,8]=>([(0,6),(1,5),(2,3),(2,4),(3,7),(4,7),(5,7),(6,7)],8)
[6,7,5,8,1,3,2,4]=>([(0,6),(1,5),(2,3),(2,4),(3,7),(4,7),(5,6)],8)
[4,5,1,3,2,7,6,8]=>([(0,4),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[4,6,5,7,1,3,2,8]=>([(0,2),(0,3),(1,4),(1,5),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[4,6,1,3,2,7,5,8]=>([(0,4),(0,7),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,6),(6,5),(7,5)],8)
[1,4,3,6,2,7,5,8]=>([(0,1),(0,2),(0,3),(1,4),(1,7),(2,4),(2,7),(3,6),(3,7),(4,6),(6,5),(7,5)],8)
[3,4,1,6,5,7,2,8]=>([(0,3),(1,2),(1,6),(1,7),(2,4),(3,6),(3,7),(5,4),(6,5),(7,5)],8)
[4,5,2,3,1,7,6,8]=>([(0,6),(0,7),(1,4),(2,3),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[4,5,3,7,6,8,1,2]=>([(0,6),(0,7),(1,3),(2,4),(4,6),(4,7),(6,5),(7,5)],8)
[4,6,5,7,3,8,1,2]=>([(0,6),(1,3),(2,4),(2,5),(4,7),(5,7),(7,6)],8)
[4,6,5,7,2,3,1,8]=>([(0,7),(1,3),(2,4),(2,5),(3,7),(4,6),(5,6),(6,7)],8)
[3,5,4,6,1,7,2,8]=>([(0,4),(0,7),(1,2),(1,3),(2,5),(3,5),(4,6),(5,7),(7,6)],8)
[3,5,1,6,4,7,2,8]=>([(0,3),(0,7),(1,2),(1,6),(1,7),(2,4),(3,6),(5,4),(6,5),(7,5)],8)
[1,5,3,6,4,7,2,8]=>([(0,2),(0,3),(0,4),(1,7),(2,5),(3,6),(4,1),(4,5),(5,7),(7,6)],8)
[1,5,3,6,2,7,4,8]=>([(0,1),(0,2),(0,3),(1,6),(2,5),(2,7),(3,6),(3,7),(5,4),(6,5),(7,4)],8)
[3,5,2,6,1,7,4,8]=>([(0,6),(0,7),(1,4),(1,7),(2,3),(2,7),(3,6),(4,5),(6,4),(7,5)],8)
[3,5,2,6,4,7,1,8]=>([(0,4),(1,3),(1,7),(2,6),(2,7),(3,6),(5,4),(6,5),(7,5)],8)
[3,4,2,6,1,7,5,8]=>([(0,6),(0,7),(1,4),(1,7),(2,3),(3,6),(3,7),(4,5),(6,4),(7,5)],8)
[4,6,2,3,1,7,5,8]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[2,4,3,6,1,7,5,8]=>([(0,2),(0,3),(1,5),(1,7),(2,6),(2,7),(3,6),(3,7),(5,4),(6,5),(7,4)],8)
[2,5,3,6,4,7,1,8]=>([(0,7),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,7)],8)
[2,5,3,6,1,7,4,8]=>([(0,2),(0,3),(1,5),(1,6),(2,7),(3,6),(3,7),(5,4),(6,4),(7,5)],8)
[3,6,2,7,5,4,8,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,6,1,7,3,8,2,5]=>([(0,4),(0,7),(1,2),(1,3),(1,5),(2,7),(3,6),(3,7),(4,5),(5,6)],8)
[5,2,6,7,4,3,8,1]=>([(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(5,7),(6,5)],8)
[3,5,2,7,6,4,8,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,5,7,2,8,3,6,4]=>([(0,4),(0,5),(2,6),(3,1),(3,7),(4,2),(4,7),(5,3),(5,6)],8)
[2,5,7,3,1,8,4,6]=>([(0,6),(0,7),(1,3),(1,4),(2,7),(3,6),(3,7),(4,2),(4,5),(6,5)],8)
[2,1,5,6,8,4,3,7]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,7),(4,7),(5,7),(6,2)],8)
[1,3,7,2,8,5,4,6]=>([(0,2),(0,3),(1,5),(2,1),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[4,6,2,7,1,8,3,5]=>([(0,3),(0,4),(1,5),(1,7),(2,6),(2,7),(3,6),(6,5),(7,4)],8)
[1,5,4,3,6,8,2,7]=>([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,7),(5,6),(7,1),(7,6)],8)
[1,6,4,5,7,8,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,7),(5,7),(6,1),(7,2)],8)
[2,1,5,6,8,4,7,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(3,2),(3,4),(6,3),(7,4)],8)
[2,1,5,6,8,7,3,4]=>([(0,6),(0,7),(1,6),(1,7),(5,3),(5,4),(6,5),(7,2)],8)
[3,6,5,2,7,8,4,1]=>([(1,6),(1,7),(2,3),(2,4),(2,6),(3,7),(4,7),(7,5)],8)
[6,2,4,7,5,8,3,1]=>([(1,7),(2,3),(2,4),(4,5),(4,7),(5,6),(7,6)],8)
[1,5,7,8,4,2,6,3]=>([(0,3),(0,5),(0,6),(3,7),(4,1),(5,2),(5,7),(6,4),(6,7)],8)
[3,7,4,1,8,6,2,5]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(2,7),(3,5),(3,6),(3,7),(4,5)],8)
[3,4,6,8,5,7,2,1]=>([(2,6),(4,7),(5,3),(5,7),(6,4),(6,5)],8)
[4,2,5,7,3,1,8,6]=>([(0,6),(0,7),(1,5),(2,3),(2,5),(3,6),(3,7),(4,7),(5,4),(5,6)],8)
[4,5,6,2,8,7,3,1]=>([(1,4),(2,3),(2,6),(2,7),(4,5),(5,6),(5,7)],8)
[2,5,6,8,1,7,4,3]=>([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(3,4),(4,2),(4,5)],8)
[4,5,6,1,8,7,3,2]=>([(0,5),(1,2),(1,3),(1,6),(1,7),(4,6),(4,7),(5,4)],8)
[4,5,6,3,1,8,7,2]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(2,7),(4,5),(5,6),(5,7)],8)
[4,3,6,2,1,7,5,8]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,7),(3,4),(3,7),(4,6),(6,5),(7,5)],8)
[4,6,3,2,1,7,5,8]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,7),(6,5),(7,5)],8)
[4,6,3,1,7,5,2,8]=>([(0,5),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,7),(4,6),(5,7),(6,7)],8)
[4,5,3,7,6,1,8,2]=>([(0,5),(0,6),(1,4),(2,3),(2,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,5,1,7,3,8,6,2]=>([(0,4),(1,2),(1,3),(1,6),(3,5),(3,7),(4,5),(4,6),(6,7)],8)
[2,5,7,1,4,3,8,6]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,5,7,6,1,8,2]=>([(0,6),(1,6),(2,3),(2,7),(4,7),(5,7),(6,4),(6,5)],8)
[4,3,6,1,7,5,2,8]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,7),(4,5),(5,7),(6,7)],8)
[4,3,2,6,1,7,5,8]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(6,4),(7,5)],8)
[5,3,2,1,6,4,7,8]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(5,4),(6,5),(7,5)],8)
[5,3,1,6,2,7,4,8]=>([(0,7),(1,5),(1,7),(2,3),(2,7),(3,5),(3,6),(5,4),(6,4),(7,6)],8)
[5,1,6,3,2,7,4,8]=>([(0,5),(1,2),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(5,7),(6,4),(7,4)],8)
[2,6,1,4,7,5,3,8]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,7),(3,4),(4,7),(5,7),(6,2),(6,4)],8)
[3,6,1,7,4,2,5,8]=>([(0,3),(0,7),(1,2),(1,5),(1,7),(2,6),(3,5),(5,4),(6,4),(7,6)],8)
[4,6,1,7,5,3,2,8]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,7),(3,7),(4,5),(5,7),(6,7)],8)
[5,1,6,3,7,4,2,8]=>([(0,6),(1,3),(1,4),(1,6),(2,7),(3,7),(4,2),(4,5),(5,7),(6,5)],8)
[5,3,6,4,2,1,7,8]=>([(0,7),(1,7),(2,6),(3,4),(3,6),(4,7),(6,7),(7,5)],8)
[5,3,2,6,4,1,7,8]=>([(0,7),(1,6),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7),(7,4)],8)
[5,2,1,6,3,7,4,8]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(3,6),(4,6),(5,3),(5,4),(7,4)],8)
[5,2,6,3,1,7,4,8]=>([(0,6),(0,7),(1,4),(2,3),(2,4),(3,6),(3,7),(4,7),(6,5),(7,5)],8)
[4,2,6,3,1,7,8,5]=>([(0,6),(0,7),(1,5),(1,6),(2,4),(2,5),(4,6),(4,7),(5,7),(7,3)],8)
[3,6,2,1,7,4,5,8]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(3,7),(4,5),(6,4),(7,5)],8)
[3,6,2,7,4,1,5,8]=>([(0,6),(1,3),(1,7),(2,5),(2,7),(3,5),(5,4),(6,4),(7,6)],8)
[3,5,7,2,8,6,4,1]=>([(1,5),(1,6),(1,7),(2,3),(2,5),(3,4),(3,7),(4,6)],8)
[2,4,7,1,3,6,5,8]=>([(0,6),(1,3),(1,6),(2,7),(3,2),(3,4),(3,5),(4,7),(5,7),(6,4),(6,5)],8)
[2,6,1,3,7,5,4,8]=>([(0,6),(1,4),(1,6),(2,7),(3,7),(4,5),(5,7),(6,2),(6,3),(6,5)],8)
[3,6,1,7,5,2,4,8]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,1,6,2,7,4,3,8]=>([(0,6),(1,4),(1,6),(2,7),(3,7),(4,2),(4,3),(4,5),(5,7),(6,5)],8)
[5,2,6,4,3,1,7,8]=>([(0,7),(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(6,7),(7,5)],8)
[5,2,1,6,4,3,7,8]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7),(7,3)],8)
[5,4,2,1,6,3,7,8]=>([(0,7),(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(6,4),(7,6)],8)
[5,4,2,6,3,1,7,8]=>([(0,7),(1,6),(2,6),(3,4),(3,6),(4,7),(6,7),(7,5)],8)
[5,4,1,6,2,7,3,8]=>([(0,7),(1,7),(2,3),(2,7),(3,4),(3,6),(4,5),(6,5),(7,6)],8)
[5,1,6,4,2,7,3,8]=>([(0,6),(1,2),(1,4),(1,6),(2,7),(3,5),(4,3),(4,7),(6,7),(7,5)],8)
[3,6,1,7,5,4,8,2]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,1,5,4,3,7,8]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,7),(7,2)],8)
[3,1,6,2,5,4,7,8]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(4,7),(5,7),(6,7),(7,2)],8)
[5,1,6,4,3,2,7,8]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(6,7),(7,5)],8)
[5,4,1,6,3,2,7,8]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(6,7),(7,5)],8)
[5,4,3,1,6,2,7,8]=>([(0,7),(1,7),(2,7),(3,4),(3,7),(4,6),(6,5),(7,6)],8)
[7,3,1,6,5,4,8,2]=>([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[7,2,8,1,5,4,3,6]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7)],8)
[4,2,7,6,5,8,1,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7)],8)
[3,8,2,6,5,4,1,7]=>([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[7,3,2,1,5,4,6,8]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(6,4),(7,4)],8)
[7,2,8,6,1,4,3,5]=>([(0,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(6,4),(7,4)],8)
[5,2,7,6,8,4,1,3]=>([(0,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(6,4),(7,4)],8)
[3,8,7,2,5,4,1,6]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(5,7),(6,7)],8)
[7,5,1,6,8,4,3,2]=>([(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(6,7)],8)
[7,4,2,1,5,6,3,8]=>([(0,7),(1,6),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,4)],8)
[7,2,8,6,5,1,3,4]=>([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[5,3,2,6,7,4,1,8]=>([(0,7),(1,6),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,4)],8)
[4,3,7,2,5,6,1,8]=>([(0,7),(1,6),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,4)],8)
[6,7,1,4,3,2,5,8]=>([(0,5),(1,2),(1,3),(1,4),(2,7),(3,7),(4,7),(5,6),(7,6)],8)
[3,4,2,6,7,1,5,8]=>([(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(4,5),(6,4),(7,5)],8)
[3,7,1,6,5,2,4,8]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,7),(3,4),(4,7),(5,7),(6,7)],8)
[3,5,6,2,4,7,1,8]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,7),(5,7),(7,6)],8)
[3,5,8,7,2,4,6,1]=>([(1,6),(2,3),(2,6),(3,4),(3,5),(3,7),(6,7)],8)
[1,7,8,2,5,4,3,6]=>([(0,5),(0,6),(2,7),(3,7),(4,7),(5,1),(6,2),(6,3),(6,4)],8)
[8,7,2,5,4,3,6,1]=>([(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[2,5,6,4,7,1,3,8]=>([(0,7),(1,3),(1,4),(1,7),(2,5),(3,5),(4,2),(5,6),(7,6)],8)
[4,7,1,6,3,5,2,8]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,7),(3,5),(4,7),(5,7),(6,7)],8)
[4,5,3,8,7,2,6,1]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[1,4,5,3,7,8,2,6]=>([(0,3),(0,4),(0,5),(1,6),(1,7),(3,7),(4,6),(4,7),(5,1),(6,2)],8)
[1,4,8,2,7,6,3,5]=>([(0,3),(0,4),(2,5),(3,2),(3,6),(3,7),(4,1),(4,5),(4,6),(4,7)],8)
[4,7,3,5,1,8,6,2]=>([(0,5),(1,3),(1,6),(1,7),(2,4),(2,5),(4,7),(5,6),(5,7)],8)
[8,7,3,6,1,5,4,2]=>([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)
[2,5,8,7,4,6,1,3]=>([(0,7),(1,4),(1,5),(1,7),(4,6),(5,2),(5,3),(5,6)],8)
[5,4,2,1,7,8,3,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(7,4)],8)
[4,7,8,3,5,2,1,6]=>([(0,7),(1,7),(2,6),(3,4),(3,6),(4,5),(6,7)],8)
[4,7,6,2,1,8,3,5]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6)],8)
[1,4,6,7,3,5,8,2]=>([(0,2),(0,3),(0,5),(1,7),(3,6),(4,1),(5,4),(5,6),(6,7)],8)
[8,3,6,2,1,7,5,4]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7)],8)
[8,3,7,6,4,2,1,5]=>([(1,7),(2,7),(3,4),(3,5),(3,6),(6,7)],8)
[2,3,1,8,4,7,6,5]=>([(0,6),(0,7),(1,5),(5,6),(5,7),(7,2),(7,3),(7,4)],8)
[2,7,4,8,6,5,1,3]=>([(0,7),(1,4),(1,5),(1,7),(4,6),(5,2),(5,3),(5,6)],8)
[8,6,5,1,4,7,3,2]=>([(1,7),(2,7),(3,4),(3,5),(3,6),(6,7)],8)
[8,5,4,1,7,3,6,2]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(5,7)],8)
[6,3,7,2,8,5,4,1]=>([(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(6,7)],8)
[1,6,3,8,2,7,5,4]=>([(0,1),(0,2),(0,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,7,5,3,8,2,6,4]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7)],8)
[6,2,7,4,1,8,5,3]=>([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(5,7)],8)
[8,6,3,2,7,5,1,4]=>([(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[2,7,5,1,3,8,6,4]=>([(0,6),(1,3),(1,4),(1,6),(3,7),(4,5),(4,7),(6,2),(6,5),(6,7)],8)
[1,7,6,4,3,8,2,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,2,4,8,6,5,1]=>([(1,6),(2,3),(2,6),(3,7),(6,4),(6,5),(6,7)],8)
[3,4,2,8,7,6,1,5]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(3,4),(3,5),(3,6),(3,7)],8)
[5,1,4,3,2,7,8,6]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(7,2)],8)
[3,7,8,5,2,4,1,6]=>([(0,7),(1,6),(2,3),(2,4),(2,6),(3,5),(4,7),(6,7)],8)
[3,7,6,2,4,1,8,5]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(5,7)],8)
[1,6,8,2,5,7,4,3]=>([(0,5),(0,6),(4,7),(5,3),(5,7),(6,1),(6,2),(6,4)],8)
[6,7,2,5,8,4,3,1]=>([(1,6),(2,3),(2,4),(2,5),(5,7),(6,7)],8)
[5,2,7,8,4,3,1,6]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(3,7),(4,7),(6,5)],8)
[5,3,1,7,8,4,2,6]=>([(0,6),(0,7),(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(5,7),(6,4)],8)
[2,7,6,4,1,3,8,5]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,5),(4,7),(6,5),(6,7)],8)
[4,1,7,6,3,2,8,5]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,7),(5,7)],8)
[8,4,2,7,6,3,1,5]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7)],8)
[6,3,1,7,5,2,8,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,7),(6,7)],8)
[6,2,7,5,3,1,8,4]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,7)],8)
[1,5,8,2,7,4,6,3]=>([(0,4),(0,5),(3,6),(4,2),(4,6),(4,7),(5,1),(5,3),(5,7)],8)
[5,7,2,8,4,6,3,1]=>([(1,5),(1,7),(2,3),(2,4),(2,6),(4,7),(5,6)],8)
[5,7,3,1,8,4,6,2]=>([(0,5),(0,7),(1,4),(1,6),(2,3),(2,5),(2,7),(4,7),(5,6)],8)
[8,4,7,3,1,6,5,2]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)
[2,6,8,5,7,4,1,3]=>([(0,7),(1,3),(1,4),(1,5),(1,7),(4,6),(5,2),(5,6)],8)
[6,5,2,1,7,4,8,3]=>([(0,7),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(5,6),(7,6)],8)
[5,7,4,6,2,1,8,3]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(6,7)],8)
[5,6,4,8,3,7,2,1]=>([(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[6,7,1,8,3,4,2,5]=>([(0,4),(1,3),(1,5),(1,7),(2,6),(3,6),(4,7),(5,2)],8)
[7,8,3,5,1,4,2,6]=>([(0,3),(1,5),(1,6),(2,4),(2,6),(4,7),(5,7),(6,7)],8)
[5,6,2,7,1,8,3,4]=>([(0,6),(0,7),(1,5),(1,6),(2,4),(4,7),(6,3),(7,5)],8)
[6,7,2,4,3,8,1,5]=>([(0,6),(1,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,3,8,6,7,1,5]=>([(0,7),(1,3),(1,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,2)],8)
[1,8,2,7,4,5,3,6]=>([(0,4),(0,6),(2,7),(3,7),(5,3),(6,1),(6,2),(6,5)],8)
[2,5,4,8,3,6,1,7]=>([(0,6),(1,2),(1,3),(1,4),(2,7),(3,5),(3,7),(4,5),(4,7),(7,6)],8)
[2,3,1,8,5,6,4,7]=>([(0,3),(1,4),(1,5),(1,7),(2,6),(3,4),(3,5),(3,7),(5,2),(7,6)],8)
[3,8,5,6,4,7,1,2]=>([(0,5),(1,2),(1,4),(1,6),(3,7),(4,7),(6,3)],8)
[5,7,3,6,4,8,1,2]=>([(0,3),(1,5),(1,6),(2,4),(2,6),(4,7),(5,7),(6,7)],8)
[5,7,2,3,1,6,4,8]=>([(0,5),(0,6),(1,4),(2,3),(2,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,7,2,4,3,6,1,8]=>([(0,6),(1,5),(1,7),(2,3),(2,4),(3,7),(4,7),(5,6),(7,6)],8)
[4,6,2,7,1,5,3,8]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,5),(4,7),(5,7),(6,7)],8)
[4,7,1,6,2,5,3,8]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,7),(3,7),(4,2),(4,5),(5,7),(6,7)],8)
[4,7,1,5,3,6,2,8]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,7),(3,5),(4,7),(5,7),(6,5)],8)
[4,6,3,5,1,7,2,8]=>([(0,5),(1,3),(1,7),(2,4),(2,5),(3,6),(4,7),(5,7),(7,6)],8)
[6,7,3,5,1,4,2,8]=>([(0,5),(1,4),(1,6),(2,3),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,3,7,1,4,2,8]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,7,1,6,3,4,2,8]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,7),(3,7),(4,7),(5,2),(6,7)],8)
[1,8,5,6,3,4,2,7]=>([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(4,7),(5,2),(6,1)],8)
[1,8,5,6,4,7,2,3]=>([(0,3),(0,4),(0,5),(0,6),(2,7),(4,7),(5,1),(6,2)],8)
[5,7,1,6,4,8,2,3]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(3,7),(4,7),(5,2),(6,7)],8)
[4,6,5,8,1,7,2,3]=>([(0,5),(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[3,7,1,4,2,8,5,6]=>([(0,3),(0,5),(1,4),(1,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,2)],8)
[3,5,1,4,2,8,6,7]=>([(0,4),(0,5),(1,3),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(7,2)],8)
[4,6,5,8,3,7,1,2]=>([(0,7),(1,3),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,5,8,2,3,1,7]=>([(0,7),(1,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,2,6,5,8,1,7]=>([(0,7),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(5,7),(6,4),(6,7)],8)
[3,5,4,6,2,8,1,7]=>([(0,7),(1,5),(1,7),(2,3),(2,4),(3,6),(4,6),(6,5),(6,7)],8)
[1,8,3,5,4,7,2,6]=>([(0,3),(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(4,7),(5,1),(5,2)],8)
[3,4,2,7,1,8,5,6]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(3,6),(3,7),(6,5),(7,4)],8)
[4,7,2,3,1,8,5,6]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(3,7),(4,6),(4,7),(6,5)],8)
[2,4,3,8,1,7,5,6]=>([(0,6),(0,7),(1,3),(1,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,2)],8)
[2,5,3,8,4,7,1,6]=>([(0,7),(1,3),(1,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,2),(4,6)],8)
[2,6,3,8,1,7,4,5]=>([(0,6),(0,7),(1,3),(1,4),(3,5),(3,7),(4,5),(4,6),(4,7),(6,2)],8)
[2,7,1,8,3,6,4,5]=>([(0,6),(0,7),(1,4),(1,7),(4,6),(5,3),(7,2),(7,5)],8)
[4,5,1,8,7,6,2,3]=>([(0,3),(1,4),(1,5),(1,6),(1,7),(3,5),(3,6),(3,7),(4,2)],8)
[4,5,7,8,2,6,3,1]=>([(1,6),(2,4),(2,7),(5,3),(6,5),(6,7)],8)
[5,2,6,8,3,7,4,1]=>([(1,6),(2,3),(2,6),(3,5),(3,7),(6,4),(6,7)],8)
[3,1,6,8,7,4,5,2]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(6,5),(7,2),(7,3)],8)
[6,1,4,8,7,2,5,3]=>([(0,6),(0,7),(1,3),(1,4),(3,5),(3,6),(3,7),(4,2),(4,5)],8)
[6,1,8,4,7,3,5,2]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(3,5),(4,5),(4,6)],8)
[6,8,3,5,7,1,4,2]=>([(0,4),(0,7),(1,3),(1,6),(2,5),(2,6),(5,7)],8)
[4,6,7,8,2,5,3,1]=>([(1,6),(1,7),(2,4),(2,7),(5,3),(6,5)],8)
[7,4,5,2,8,6,3,1]=>([(1,7),(2,5),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
[6,8,2,5,3,7,4,1]=>([(1,4),(1,7),(2,5),(2,6),(5,7),(6,3),(6,7)],8)
[6,3,8,4,2,7,5,1]=>([(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(4,6),(4,7)],8)
[3,4,7,5,8,6,2,1]=>([(2,6),(4,7),(5,3),(5,7),(6,4),(6,5)],8)
[6,7,4,2,8,5,3,1]=>([(1,6),(1,7),(2,5),(3,4),(3,6),(3,7),(5,7)],8)
[2,7,5,3,8,6,4,1]=>([(1,3),(1,4),(1,5),(3,7),(4,6),(4,7),(5,2),(5,6),(5,7)],8)
[5,6,2,8,3,7,4,1]=>([(1,4),(2,3),(2,6),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,8,2,7,3,6,4]=>([(0,4),(0,5),(3,2),(3,7),(4,3),(4,6),(5,1),(5,6),(5,7)],8)
[6,7,4,8,1,5,3,2]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(2,6),(5,7)],8)
[1,7,4,8,6,2,5,3]=>([(0,3),(0,4),(0,5),(3,6),(4,2),(4,7),(5,1),(5,6),(5,7)],8)
[6,8,5,3,7,2,4,1]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(4,7)],8)
[6,8,5,2,3,7,4,1]=>([(1,7),(2,5),(3,4),(3,7),(5,6),(5,7)],8)
[7,5,3,8,2,6,4,1]=>([(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7)],8)
[7,5,2,3,8,6,4,1]=>([(1,7),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[6,7,3,4,8,5,2,1]=>([(2,4),(3,5),(4,7),(5,6),(5,7)],8)
[3,6,4,7,8,5,2,1]=>([(2,4),(2,6),(4,7),(6,3),(6,7),(7,5)],8)
[7,4,2,5,8,6,3,1]=>([(1,7),(2,6),(3,5),(3,7),(7,4),(7,6)],8)
[7,4,5,8,1,6,3,2]=>([(0,6),(1,5),(2,3),(2,4),(2,7),(5,6),(5,7)],8)
[6,3,4,7,8,5,2,1]=>([(2,7),(3,4),(4,6),(4,7),(7,5)],8)
[6,1,2,7,4,5,8,3]=>([(0,7),(1,5),(3,6),(4,3),(5,2),(5,4),(5,7),(7,6)],8)
[2,5,8,3,4,1,6,7]=>([(0,7),(1,5),(1,6),(3,7),(5,3),(6,2),(6,7),(7,4)],8)
[5,6,2,7,4,3,8,1]=>([(1,5),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6),(6,7)],8)
[4,6,7,3,2,5,8,1]=>([(1,7),(2,7),(3,4),(3,7),(4,5),(5,6),(7,6)],8)
[2,6,7,3,8,5,4,1]=>([(1,5),(1,6),(4,7),(5,4),(6,2),(6,3),(6,7)],8)
[2,6,1,8,4,5,3,7]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(3,4),(3,7),(5,7),(6,2)],8)
[2,5,7,8,4,3,6,1]=>([(1,3),(1,4),(1,6),(3,7),(4,7),(5,2),(6,5),(6,7)],8)
[3,6,8,4,5,7,1,2]=>([(0,4),(1,5),(1,6),(3,7),(5,3),(6,2),(6,7)],8)
[1,6,8,4,7,2,3,5]=>([(0,3),(0,4),(0,5),(2,7),(3,6),(3,7),(4,2),(5,1),(5,6)],8)
[1,4,5,7,8,2,6,3]=>([(0,5),(0,6),(3,1),(4,3),(4,7),(5,4),(6,2),(6,7)],8)
[3,4,5,7,8,6,1,2]=>([(0,6),(1,4),(5,3),(6,7),(7,2),(7,5)],8)
[3,4,5,7,6,8,1,2]=>([(0,4),(1,5),(2,7),(3,7),(5,6),(6,2),(6,3)],8)
[3,6,7,4,8,5,1,2]=>([(0,4),(1,5),(1,6),(3,7),(5,3),(6,2),(6,7)],8)
[3,4,5,6,8,7,1,2]=>([(0,6),(1,4),(5,7),(6,5),(7,2),(7,3)],8)
[1,4,5,8,7,2,3,6]=>([(0,4),(0,5),(3,7),(4,3),(5,6),(6,1),(6,2),(6,7)],8)
[1,2,5,8,3,6,4,7]=>([(0,5),(2,7),(3,1),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7)],8)
[1,4,5,8,6,2,3,7]=>([(0,4),(0,5),(2,7),(3,7),(4,3),(5,6),(6,1),(6,2)],8)
[7,8,1,4,6,2,3,5]=>([(0,4),(1,5),(1,6),(3,7),(5,3),(6,2),(6,7)],8)
[1,6,7,4,8,2,5,3]=>([(0,3),(0,4),(0,5),(2,7),(3,6),(3,7),(4,2),(5,1),(5,6)],8)
[1,4,5,6,8,2,7,3]=>([(0,5),(0,6),(3,4),(4,2),(4,7),(5,3),(6,1),(6,7)],8)
[1,4,5,8,6,2,7,3]=>([(0,4),(0,5),(3,7),(4,6),(5,1),(5,7),(6,2),(6,3)],8)
[1,2,5,8,3,4,7,6]=>([(0,5),(2,6),(2,7),(3,2),(4,1),(4,6),(4,7),(5,3),(5,4)],8)
[1,6,7,2,3,5,8,4]=>([(0,4),(0,5),(2,7),(3,7),(4,3),(5,6),(6,1),(6,2)],8)
[7,8,1,2,3,5,4,6]=>([(0,4),(1,5),(2,7),(3,7),(5,6),(6,2),(6,3)],8)
[1,6,7,2,3,5,4,8]=>([(0,4),(0,5),(1,7),(2,7),(3,7),(4,3),(5,6),(6,1),(6,2)],8)
[1,4,5,7,6,2,3,8]=>([(0,4),(0,5),(1,7),(2,7),(3,7),(4,3),(5,6),(6,1),(6,2)],8)
[1,2,5,7,3,6,4,8]=>([(0,5),(1,7),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7)],8)
[1,2,5,7,3,6,8,4]=>([(0,5),(2,7),(3,1),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7)],8)
[1,6,8,2,3,5,7,4]=>([(0,4),(0,5),(3,7),(4,6),(5,1),(5,7),(6,2),(6,3)],8)
[1,6,8,4,5,2,3,7]=>([(0,4),(0,5),(0,6),(2,7),(3,7),(4,3),(5,2),(6,1),(6,7)],8)
[1,6,8,4,5,2,7,3]=>([(0,4),(0,5),(0,6),(3,7),(4,3),(5,2),(5,7),(6,1),(6,7)],8)
[1,6,8,2,3,4,7,5]=>([(0,5),(0,6),(3,4),(4,2),(4,7),(5,3),(6,1),(6,7)],8)
[1,6,8,2,3,7,4,5]=>([(0,5),(0,6),(3,1),(4,3),(4,7),(5,4),(6,2),(6,7)],8)
[1,4,5,7,6,2,8,3]=>([(0,4),(0,5),(2,7),(3,7),(4,6),(5,1),(5,7),(6,2),(6,3)],8)
[7,8,1,4,5,2,6,3]=>([(0,4),(1,5),(1,6),(3,7),(5,3),(6,2),(6,7)],8)
[7,8,1,2,3,4,6,5]=>([(0,6),(1,4),(5,7),(6,5),(7,2),(7,3)],8)
[7,8,1,2,3,6,4,5]=>([(0,6),(1,4),(5,3),(6,7),(7,2),(7,5)],8)
[1,6,7,2,3,8,5,4]=>([(0,4),(0,5),(3,7),(4,3),(5,6),(6,1),(6,2),(6,7)],8)
[1,2,5,6,3,8,7,4]=>([(0,5),(2,6),(2,7),(3,2),(4,1),(4,6),(4,7),(5,3),(5,4)],8)
[4,2,1,6,5,3,8,7]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(6,4),(6,5),(7,4),(7,5)],8)
[6,8,2,1,4,3,7,5]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,2,4,3,1,5,7]=>([(1,7),(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[4,6,5,2,8,3,7,1]=>([(1,3),(1,6),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,4,5,8,3,7,1]=>([(1,2),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,3)],8)
[8,4,2,6,3,5,1,7]=>([(1,7),(2,5),(2,6),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,2,6,3,5,8,7,1]=>([(1,3),(1,6),(2,6),(2,7),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[6,2,4,3,8,5,7,1]=>([(1,5),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[8,2,4,3,6,5,1,7]=>([(1,7),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[6,2,1,8,4,3,7,5]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7)],8)
[6,4,8,5,2,1,7,3]=>([(0,5),(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(4,7)],8)
[4,6,8,7,5,2,1,3]=>([(0,7),(1,7),(2,5),(2,6),(6,3),(6,4)],8)
[2,6,8,7,4,5,1,3]=>([(0,7),(1,5),(1,6),(1,7),(5,4),(6,2),(6,3)],8)
[4,2,8,6,5,7,1,3]=>([(0,5),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3),(7,3)],8)
[8,2,6,4,5,1,3,7]=>([(1,6),(2,3),(2,4),(2,6),(3,5),(4,7),(5,7),(6,7)],8)
[2,8,5,3,1,4,6,7]=>([(0,6),(1,3),(1,4),(1,5),(4,7),(5,6),(6,7),(7,2)],8)
[2,7,4,8,3,5,1,6]=>([(0,7),(1,2),(1,3),(1,4),(2,5),(3,6),(4,5),(4,6),(6,7)],8)
[2,7,4,8,3,5,6,1]=>([(1,3),(1,4),(1,5),(3,7),(4,6),(5,6),(5,7),(7,2)],8)
[7,2,8,4,3,5,1,6]=>([(0,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(7,6)],8)
[8,4,2,1,5,3,6,7]=>([(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(6,4),(7,6)],8)
[8,5,1,4,2,3,6,7]=>([(1,7),(2,4),(2,6),(3,7),(4,7),(6,3),(7,5)],8)
[8,4,1,5,3,2,6,7]=>([(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(6,7),(7,5)],8)
[6,7,3,8,4,2,5,1]=>([(1,7),(2,5),(3,4),(3,6),(4,7),(5,6)],8)
[6,7,3,8,4,2,1,5]=>([(0,7),(1,7),(2,5),(3,4),(3,6),(4,7),(5,6)],8)
[7,1,8,4,3,5,2,6]=>([(0,7),(1,2),(1,3),(1,4),(1,7),(2,6),(3,5),(4,5),(5,6)],8)
[1,7,8,4,3,5,2,6]=>([(0,2),(0,3),(0,4),(0,5),(2,7),(3,6),(4,6),(5,1),(6,7)],8)
[7,1,4,8,3,5,2,6]=>([(0,7),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,7),(5,6)],8)
[7,4,8,1,5,6,2,3]=>([(0,6),(1,6),(1,7),(2,4),(2,7),(4,5),(7,3)],8)
[7,1,8,4,3,5,6,2]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(4,7),(5,7),(7,2)],8)
[6,7,3,1,8,4,5,2]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(2,7),(4,7),(6,5)],8)
[6,7,3,8,4,5,2,1]=>([(2,5),(3,4),(3,7),(4,6),(5,7)],8)
[6,7,1,4,8,3,5,2]=>([(0,5),(1,2),(1,3),(1,4),(3,6),(4,6),(4,7),(5,7)],8)
[6,7,4,1,3,8,2,5]=>([(0,6),(0,7),(1,4),(2,3),(2,5),(3,6),(4,7),(5,6),(5,7)],8)
[1,6,7,8,4,3,2,5]=>([(0,2),(0,3),(0,4),(0,6),(2,7),(3,7),(4,7),(5,1),(6,5)],8)
[7,2,1,8,4,5,3,6]=>([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(4,6),(5,3)],8)
[6,2,7,1,8,4,3,5]=>([(0,5),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(5,4),(6,3),(7,3)],8)
[6,2,7,8,4,3,1,5]=>([(0,7),(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(6,5)],8)
[6,2,7,8,4,3,5,1]=>([(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(6,5)],8)
[2,6,7,4,8,3,5,1]=>([(1,3),(1,4),(1,5),(2,6),(3,7),(4,6),(4,7),(5,2)],8)
[2,6,7,4,8,3,1,5]=>([(0,7),(1,2),(1,4),(1,5),(2,7),(3,6),(4,6),(4,7),(5,3)],8)
[7,8,1,3,6,2,4,5]=>([(0,5),(1,3),(1,6),(3,7),(6,2),(6,7),(7,4)],8)
[1,2,7,8,6,3,4,5]=>([(0,7),(4,2),(5,6),(6,3),(7,1),(7,4),(7,5)],8)
[2,6,7,1,8,5,3,4]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(3,5),(4,3),(7,2)],8)
[2,6,7,8,5,3,1,4]=>([(0,7),(1,3),(1,4),(1,6),(4,7),(5,2),(6,5)],8)
[2,6,7,8,5,3,4,1]=>([(1,4),(1,6),(1,7),(5,2),(6,3),(7,5)],8)
[6,2,7,8,4,5,3,1]=>([(1,7),(2,4),(2,6),(2,7),(6,3),(7,5)],8)
[7,2,1,8,4,5,6,3]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(6,3)],8)
[1,7,2,8,4,5,6,3]=>([(0,3),(0,6),(3,7),(4,5),(5,2),(6,1),(6,4),(6,7)],8)
[3,7,8,1,5,6,2,4]=>([(0,4),(0,7),(1,5),(1,6),(1,7),(4,6),(5,3),(7,2)],8)
[6,3,7,8,1,5,2,4]=>([(0,6),(1,5),(1,6),(1,7),(2,4),(2,5),(4,7),(6,3)],8)
[6,7,1,2,8,5,3,4]=>([(0,4),(1,6),(4,7),(5,3),(6,2),(6,5),(6,7)],8)
[1,6,7,8,4,2,5,3]=>([(0,3),(0,5),(0,6),(3,7),(4,2),(5,4),(6,1),(6,7)],8)
[3,1,2,7,6,5,8,4]=>([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[6,1,2,4,7,3,8,5]=>([(0,7),(1,4),(2,5),(2,7),(3,5),(3,6),(4,2),(4,3),(7,6)],8)
[1,7,5,3,6,4,8,2]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(3,7),(4,6),(5,1),(5,6),(6,7)],8)
[5,1,2,6,7,4,8,3]=>([(0,7),(1,5),(3,6),(4,6),(5,2),(5,4),(5,7),(7,3)],8)
[4,1,5,7,3,2,6,8]=>([(0,6),(1,2),(1,3),(1,6),(2,7),(3,7),(4,5),(6,4),(6,7),(7,5)],8)
[4,6,1,7,3,2,5,8]=>([(0,4),(0,7),(1,2),(1,3),(1,5),(2,7),(3,7),(4,5),(5,6),(7,6)],8)
[4,6,1,8,3,2,5,7]=>([(0,4),(0,7),(1,2),(1,3),(1,5),(2,7),(3,7),(4,5),(4,6),(7,6)],8)
[4,7,1,8,3,5,2,6]=>([(0,4),(0,7),(1,2),(1,3),(1,6),(2,7),(3,5),(4,6),(7,5)],8)
[4,1,7,8,6,2,3,5]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(3,5),(4,3),(7,2)],8)
[1,6,5,7,8,3,4,2]=>([(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,1),(7,2)],8)
[1,6,5,8,7,3,4,2]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(3,7),(4,6),(4,7),(5,1)],8)
[4,1,8,7,6,2,3,5]=>([(0,2),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(3,4)],8)
[4,8,1,7,3,5,2,6]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(1,7),(2,5),(3,6),(6,5)],8)
[4,8,1,6,3,2,5,7]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(6,5),(7,5)],8)
[4,7,1,6,3,2,5,8]=>([(0,4),(0,5),(0,7),(1,2),(1,3),(1,5),(2,7),(3,7),(4,6),(5,6),(7,6)],8)
[6,1,2,3,7,5,4,8]=>([(0,6),(1,4),(2,7),(3,7),(4,5),(5,2),(5,3),(5,6),(6,7)],8)
[6,8,1,5,3,7,2,4]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(2,7),(3,6),(4,6),(4,7)],8)
[8,7,5,2,4,1,6,3]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[1,5,7,3,4,8,6,2]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(2,7),(4,2),(5,1),(5,7)],8)
[1,5,8,3,4,7,6,2]=>([(0,3),(0,4),(0,5),(2,6),(2,7),(4,2),(5,1),(5,6),(5,7)],8)
[7,8,5,2,4,1,6,3]=>([(0,7),(1,6),(1,7),(2,4),(3,5),(3,6),(5,7)],8)
[7,1,2,3,5,6,4,8]=>([(0,7),(1,5),(2,7),(3,7),(4,3),(5,6),(6,2),(6,4)],8)
[8,1,2,3,5,6,4,7]=>([(1,5),(2,7),(3,7),(4,3),(5,6),(6,2),(6,4)],8)
[8,1,2,3,5,4,7,6]=>([(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,2),(5,3)],8)
[7,1,8,4,6,3,2,5]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,2),(5,7)],8)
[6,8,2,4,3,1,5,7]=>([(0,7),(1,3),(1,6),(2,4),(2,5),(4,7),(5,7),(7,6)],8)
[6,7,2,4,3,1,5,8]=>([(0,7),(1,5),(2,3),(2,4),(3,7),(4,7),(5,6),(7,6)],8)
[3,8,1,2,4,5,7,6]=>([(0,5),(1,4),(1,7),(5,7),(6,2),(6,3),(7,6)],8)
[3,7,1,8,6,4,2,5]=>([(0,3),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(3,4),(7,5)],8)
[1,6,4,3,7,5,8,2]=>([(0,1),(0,2),(0,3),(0,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[3,1,2,6,7,5,8,4]=>([(0,3),(1,4),(1,5),(1,7),(2,6),(3,4),(3,5),(3,7),(5,2),(7,6)],8)
[3,8,1,7,6,4,2,5]=>([(0,3),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(3,4),(7,4)],8)
[7,6,2,4,3,1,5,8]=>([(0,7),(1,6),(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[8,7,2,4,3,5,1,6]=>([(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[8,1,7,4,6,3,2,5]=>([(1,3),(1,4),(1,5),(1,6),(4,7),(5,7),(6,2),(6,7)],8)
[8,1,7,6,5,3,2,4]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(5,7),(6,7)],8)
[1,5,7,3,4,6,8,2]=>([(0,3),(0,4),(0,5),(1,7),(2,6),(4,2),(5,1),(5,6),(6,7)],8)
[8,7,2,5,3,6,1,4]=>([(2,6),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[7,1,2,3,5,4,8,6]=>([(0,7),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,2),(5,3)],8)
[6,1,2,3,5,8,4,7]=>([(0,6),(0,7),(1,4),(2,7),(3,6),(3,7),(4,5),(5,2),(5,3)],8)
[6,1,2,3,5,7,4,8]=>([(0,7),(1,4),(2,7),(3,6),(4,5),(5,2),(5,3),(7,6)],8)
[5,1,2,3,7,6,4,8]=>([(0,5),(0,6),(1,3),(2,7),(3,4),(4,2),(4,5),(4,6),(5,7),(6,7)],8)
[5,1,2,3,8,6,4,7]=>([(0,6),(0,7),(1,3),(2,5),(3,4),(4,2),(4,6),(4,7),(7,5)],8)
[1,5,6,3,4,7,8,2]=>([(0,4),(0,5),(0,6),(1,7),(2,7),(5,2),(6,1),(7,3)],8)
[8,6,5,2,4,7,1,3]=>([(1,7),(2,7),(3,6),(4,5),(4,6),(5,7)],8)
[7,6,2,5,3,1,8,4]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[7,4,5,2,3,8,6,1]=>([(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,3,7,4,5,1,6]=>([(1,7),(2,6),(4,7),(5,4),(6,3),(6,5)],8)
[8,4,7,3,2,5,1,6]=>([(1,7),(2,7),(3,6),(4,5),(4,7),(7,6)],8)
[5,4,6,3,1,2,8,7]=>([(0,6),(0,7),(1,5),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,2,3,1,5,8,7]=>([(0,7),(1,3),(2,4),(2,7),(3,7),(4,5),(4,6),(7,5),(7,6)],8)
[7,2,3,4,5,8,6,1]=>([(1,7),(2,5),(4,6),(5,4),(6,3),(6,7)],8)
[8,2,3,4,5,7,1,6]=>([(1,7),(2,5),(4,6),(5,4),(6,3),(6,7)],8)
[7,3,4,6,8,5,1,2]=>([(0,7),(1,5),(2,6),(4,7),(6,3),(6,4)],8)
[4,7,3,2,8,6,1,5]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6)],8)
[3,7,4,5,1,8,6,2]=>([(0,4),(0,6),(0,7),(1,2),(1,5),(2,7),(3,6),(3,7),(5,3)],8)
[3,8,2,6,7,4,5,1]=>([(1,6),(1,7),(2,3),(2,6),(2,7),(6,5),(7,4)],8)
[4,8,1,5,6,7,3,2]=>([(0,5),(0,7),(1,3),(1,4),(1,7),(6,2),(7,6)],8)
[5,8,2,4,6,7,1,3]=>([(0,6),(1,3),(1,7),(2,4),(2,6),(4,7),(7,5)],8)
[6,8,1,3,4,2,7,5]=>([(0,4),(0,7),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(5,2)],8)
[5,8,2,4,3,1,7,6]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,7,6,8,5,3,4]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(5,2),(6,3),(7,3)],8)
[3,7,6,1,8,5,2,4]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(2,7),(3,7),(4,5)],8)
[4,7,2,3,8,5,1,6]=>([(0,5),(1,4),(2,3),(2,6),(3,7),(4,6),(4,7),(6,5)],8)
[7,1,3,6,4,8,5,2]=>([(0,7),(1,3),(1,6),(4,7),(5,2),(5,7),(6,4),(6,5)],8)
[7,6,1,4,8,5,2,3]=>([(0,7),(1,7),(2,5),(2,6),(5,4),(6,3),(6,7)],8)
[6,2,3,7,8,5,4,1]=>([(1,7),(2,6),(6,3),(6,4),(6,7),(7,5)],8)
[6,2,3,8,4,5,1,7]=>([(0,3),(1,7),(2,6),(2,7),(3,5),(3,6),(4,7),(5,4)],8)
[7,2,3,6,8,4,1,5]=>([(0,3),(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8)
[8,2,3,5,7,1,4,6]=>([(1,3),(2,6),(3,5),(3,6),(5,4),(5,7),(6,7)],8)
[6,4,8,3,5,1,7,2]=>([(0,6),(1,5),(1,7),(2,5),(2,6),(3,4),(3,7),(6,7)],8)
[5,4,8,3,6,7,1,2]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(7,5)],8)
[3,5,1,8,4,6,7,2]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(4,5),(4,7),(6,7),(7,2)],8)
[3,6,1,8,4,5,2,7]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,7),(3,7),(4,5),(4,7),(6,2)],8)
[4,6,8,3,5,2,7,1]=>([(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(6,7)],8)
[5,7,8,3,2,4,1,6]=>([(0,7),(1,6),(2,6),(3,4),(3,7),(4,5),(6,7)],8)
[4,8,2,3,5,6,1,7]=>([(0,6),(1,4),(2,3),(2,7),(4,7),(5,6),(7,5)],8)
[6,8,2,3,1,4,5,7]=>([(0,7),(1,4),(2,3),(2,6),(4,7),(5,6),(7,5)],8)
[5,2,7,4,8,3,1,6]=>([(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6)],8)
[3,7,8,2,1,4,6,5]=>([(0,7),(1,7),(2,6),(2,7),(6,3),(7,4),(7,5)],8)
[3,7,5,2,8,4,1,6]=>([(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6)],8)
[6,3,2,4,1,8,7,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(3,4),(4,5),(4,6),(4,7)],8)
[7,2,3,4,8,5,1,6]=>([(0,3),(1,6),(2,7),(3,5),(4,6),(5,4),(5,7)],8)
[5,7,3,1,4,2,6,8]=>([(0,5),(1,3),(1,7),(2,4),(2,5),(3,6),(4,7),(5,7),(7,6)],8)
[3,7,4,1,8,2,5,6]=>([(0,5),(0,7),(1,2),(1,3),(2,7),(3,6),(3,7),(5,6),(6,4)],8)
[6,3,7,4,8,1,2,5]=>([(0,5),(1,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6)],8)
[8,3,7,4,2,6,1,5]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(5,6),(5,7)],8)
[3,7,4,1,5,6,2,8]=>([(0,5),(0,6),(1,2),(1,3),(2,7),(3,6),(4,7),(5,7),(6,4)],8)
[1,8,3,2,4,5,7,6]=>([(0,3),(0,4),(0,5),(4,7),(5,7),(6,1),(6,2),(7,6)],8)
[8,4,1,6,3,7,5,2]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(4,6),(4,7),(5,7)],8)
[8,7,4,2,1,6,3,5]=>([(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[8,3,5,2,7,4,1,6]=>([(1,7),(2,5),(2,6),(3,4),(3,5),(4,6),(4,7),(5,7)],8)
[1,5,3,8,7,6,4,2]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(3,7),(4,1),(4,5),(4,6),(4,7)],8)
[7,2,4,8,1,3,6,5]=>([(0,6),(1,7),(2,3),(2,7),(3,4),(3,5),(3,6),(7,4),(7,5)],8)
[1,2,8,7,5,6,3,4]=>([(0,7),(5,4),(6,3),(7,1),(7,2),(7,5),(7,6)],8)
[3,1,8,6,7,5,2,4]=>([(0,3),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(3,4),(7,2)],8)
[1,4,8,6,5,7,2,3]=>([(0,5),(0,6),(3,7),(4,7),(5,2),(6,1),(6,3),(6,4)],8)
[1,6,5,4,8,2,3,7]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1)],8)
[5,1,6,8,3,4,2,7]=>([(0,6),(1,3),(1,5),(1,6),(2,7),(3,7),(5,2),(6,4),(6,7)],8)
[6,2,5,1,7,4,3,8]=>([(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(5,6),(7,6)],8)
[5,2,1,8,7,4,3,6]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7)],8)
[5,2,6,3,8,1,4,7]=>([(0,7),(1,6),(2,3),(2,7),(3,5),(3,6),(6,4),(7,4),(7,5)],8)
[5,2,8,3,4,6,1,7]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6),(6,7)],8)
[6,2,8,4,3,1,7,5]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[7,2,8,1,3,6,5,4]=>([(0,7),(1,6),(2,6),(2,7),(7,3),(7,4),(7,5)],8)
[7,3,8,1,4,6,2,5]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(4,7),(6,3),(6,7)],8)
[1,7,8,5,4,6,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,1)],8)
[1,5,8,4,6,3,7,2]=>([(0,2),(0,3),(0,4),(0,5),(3,7),(4,6),(5,1),(5,6),(6,7)],8)
[5,3,8,4,1,2,7,6]=>([(0,5),(0,6),(0,7),(1,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[5,8,4,3,6,2,1,7]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(4,6),(6,7)],8)
[1,8,3,6,5,2,7,4]=>([(0,3),(0,4),(0,5),(1,7),(2,7),(4,6),(4,7),(5,1),(5,2),(5,6)],8)
[1,8,2,4,7,6,5,3]=>([(0,5),(0,6),(6,4),(6,7),(7,1),(7,2),(7,3)],8)
[3,8,1,4,6,7,5,2]=>([(0,5),(0,7),(1,4),(1,7),(6,2),(7,3),(7,6)],8)
[3,8,2,5,1,7,6,4]=>([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(4,5),(4,6)],8)
[4,3,8,2,5,1,6,7]=>([(0,6),(1,7),(2,5),(2,7),(3,5),(3,7),(6,4),(7,6)],8)
[8,2,4,3,5,1,7,6]=>([(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(7,5),(7,6)],8)
[8,2,1,4,6,5,7,3]=>([(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(6,3),(6,4)],8)
[8,1,3,4,5,7,6,2]=>([(1,4),(1,6),(5,7),(6,5),(7,2),(7,3)],8)
[6,1,5,2,4,7,8,3]=>([(0,7),(1,4),(1,6),(3,7),(4,7),(6,2),(6,3),(7,5)],8)
[4,1,8,5,2,7,6,3]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(3,2),(3,4),(3,5),(7,4),(7,5)],8)
[4,1,8,2,3,7,5,6]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(3,5),(3,7),(4,3),(7,2)],8)
[5,3,8,7,2,1,4,6]=>([(0,7),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(7,6)],8)
[6,7,3,5,1,4,8,2]=>([(0,5),(1,4),(1,6),(2,3),(2,6),(4,7),(5,7),(6,7)],8)
[6,4,7,5,8,2,3,1]=>([(1,6),(2,4),(3,5),(3,6),(5,7),(6,7)],8)
[5,7,8,4,2,6,3,1]=>([(1,7),(2,4),(2,7),(3,5),(3,7),(5,6)],8)
[5,4,7,6,2,8,3,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,4,1,6,8,3,2]=>([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(5,6),(7,6)],8)
[6,8,4,5,7,1,3,2]=>([(0,6),(1,5),(1,7),(2,3),(2,4),(6,7)],8)
[5,8,4,6,1,7,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(6,7)],8)
[5,6,1,4,7,8,3,2]=>([(0,6),(1,2),(1,3),(1,4),(4,7),(6,7),(7,5)],8)
[5,6,7,2,4,8,3,1]=>([(1,6),(2,3),(2,5),(4,7),(5,7),(6,4)],8)
[5,6,3,7,4,8,2,1]=>([(2,5),(3,4),(3,6),(4,7),(5,6),(6,7)],8)
[5,3,6,7,4,8,2,1]=>([(2,6),(3,4),(3,6),(4,7),(5,7),(6,5)],8)
[5,3,2,8,6,7,4,1]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[5,4,8,2,6,7,3,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(7,5)],8)
[5,4,8,6,2,7,3,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(6,7)],8)
[6,4,8,5,7,2,3,1]=>([(1,6),(1,7),(2,4),(3,5),(3,6),(5,7)],8)
[7,4,8,5,6,2,1,3]=>([(0,6),(1,6),(2,7),(3,4),(3,7),(4,5)],8)
[4,6,8,5,7,2,3,1]=>([(1,4),(2,5),(2,6),(5,7),(6,3),(6,7)],8)
[5,6,8,2,4,7,3,1]=>([(1,6),(2,4),(2,5),(5,7),(6,3),(6,7)],8)
[5,6,3,8,4,7,2,1]=>([(2,5),(3,4),(3,6),(4,7),(5,6),(5,7)],8)
[4,6,3,5,8,7,2,1]=>([(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,3,2,8,7,5,1]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7)],8)
[5,6,3,8,2,7,4,1]=>([(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(4,6),(4,7)],8)
[3,6,5,8,7,2,4,1]=>([(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[5,3,6,8,2,7,4,1]=>([(1,7),(2,5),(2,7),(3,5),(3,6),(7,4),(7,6)],8)
[4,3,7,2,8,6,5,1]=>([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8)
[5,4,7,2,6,8,3,1]=>([(1,5),(1,7),(2,5),(2,7),(3,4),(3,7),(5,6),(7,6)],8)
[5,3,2,7,6,8,4,1]=>([(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(6,5),(7,5)],8)
[6,7,3,8,5,2,4,1]=>([(1,6),(2,5),(3,4),(3,6),(3,7),(5,7)],8)
[6,3,2,7,5,4,8,1]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[6,4,7,2,5,3,8,1]=>([(1,5),(2,5),(2,6),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[6,2,7,5,1,4,8,3]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(5,7),(6,7)],8)
[2,7,8,5,3,6,1,4]=>([(0,7),(1,3),(1,4),(1,5),(3,6),(4,6),(4,7),(5,2)],8)
[6,3,7,8,4,2,5,1]=>([(1,7),(2,6),(3,4),(3,6),(4,7),(6,5)],8)
[3,5,7,8,4,6,2,1]=>([(2,4),(2,6),(4,7),(5,3),(6,5),(6,7)],8)
[5,3,7,8,4,6,2,1]=>([(2,6),(2,7),(3,4),(3,6),(4,7),(6,5)],8)
[5,7,8,2,4,6,3,1]=>([(1,6),(1,7),(2,4),(2,5),(5,7),(6,3)],8)
[2,5,8,4,3,7,6,1]=>([(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,6),(5,7)],8)
[2,6,8,4,7,3,5,1]=>([(1,3),(1,4),(1,5),(3,6),(4,6),(4,7),(5,2),(5,7)],8)
[3,7,4,8,6,2,1,5]=>([(0,7),(1,7),(2,3),(2,4),(3,6),(4,5),(4,6),(4,7)],8)
[3,6,4,8,7,2,5,1]=>([(1,5),(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,5,4,8,2,7,6,1]=>([(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,3,7,5,8,6,2,1]=>([(2,5),(2,7),(3,5),(3,7),(5,6),(7,4),(7,6)],8)
[4,5,7,3,8,6,2,1]=>([(2,6),(2,7),(3,4),(4,5),(4,7),(5,6)],8)
[3,5,6,8,4,7,2,1]=>([(2,4),(2,5),(4,7),(5,6),(6,3),(6,7)],8)
[6,3,1,8,7,5,4,2]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[5,4,8,1,7,6,3,2]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7)],8)
[8,5,4,1,7,6,3,2]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,8,2,5,6,3,4,7]=>([(0,3),(0,6),(1,7),(2,7),(4,2),(5,1),(6,4),(6,5)],8)
[7,2,8,4,5,1,3,6]=>([(0,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,7),(6,7)],8)
[1,3,7,5,6,2,4,8]=>([(0,3),(0,5),(1,7),(2,7),(3,6),(4,2),(5,1),(5,4),(5,6),(6,7)],8)
[1,6,7,4,3,5,2,8]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(6,7)],8)
[1,8,5,2,3,7,4,6]=>([(0,2),(0,3),(0,5),(1,6),(3,6),(3,7),(4,1),(4,7),(5,4)],8)
[1,8,2,5,3,6,7,4]=>([(0,4),(0,6),(2,7),(5,1),(5,7),(6,2),(6,5),(7,3)],8)
[2,6,8,4,3,5,7,1]=>([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,7),(6,7)],8)
[7,5,8,3,2,1,6,4]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(4,7)],8)
[7,2,8,4,1,5,6,3]=>([(0,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,7),(7,4)],8)
[7,5,8,1,2,6,3,4]=>([(0,3),(1,6),(2,6),(2,7),(3,5),(3,7),(5,4)],8)
[1,6,7,4,3,2,8,5]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1)],8)
[1,5,2,6,4,7,8,3]=>([(0,4),(0,5),(3,7),(4,6),(5,2),(5,3),(5,6),(6,7),(7,1)],8)
[1,5,4,6,2,3,7,8]=>([(0,3),(0,4),(0,5),(2,7),(3,6),(4,6),(5,2),(6,7),(7,1)],8)
[6,2,5,7,1,4,8,3]=>([(0,6),(1,5),(1,7),(2,3),(2,5),(2,7),(3,6),(6,4),(7,4)],8)
[6,5,4,3,8,1,7,2]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7)],8)
[7,3,6,8,5,2,4,1]=>([(1,7),(2,6),(3,4),(3,5),(3,6),(5,7)],8)
[2,7,8,3,6,5,1,4]=>([(0,7),(1,5),(1,6),(5,4),(6,2),(6,3),(6,7)],8)
[2,7,8,5,4,6,3,1]=>([(1,3),(1,4),(1,5),(1,6),(4,7),(5,7),(6,2)],8)
[2,6,5,8,3,4,1,7]=>([(0,7),(1,3),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[2,6,5,7,3,4,1,8]=>([(0,7),(1,3),(1,4),(1,5),(2,7),(3,6),(4,6),(5,2),(6,7)],8)
[6,2,5,7,4,1,3,8]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,7),(5,7),(6,7)],8)
[6,2,5,8,4,1,3,7]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,7)],8)
[2,7,8,4,6,1,3,5]=>([(0,7),(1,4),(1,5),(1,7),(4,3),(5,2),(5,6),(7,6)],8)
[6,1,2,8,3,7,4,5]=>([(0,6),(0,7),(1,5),(3,2),(4,3),(4,6),(5,4),(5,7)],8)
[6,1,2,8,5,4,7,3]=>([(0,6),(0,7),(1,5),(3,7),(4,7),(5,2),(5,3),(5,4),(5,6)],8)
[6,2,5,7,8,1,3,4]=>([(0,7),(1,6),(2,3),(2,6),(3,7),(6,5),(7,4)],8)
[1,5,4,2,6,7,3,8]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,1),(5,7),(7,2)],8)
[2,6,5,7,3,8,1,4]=>([(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(4,5),(5,6)],8)
[1,6,2,7,5,8,4,3]=>([(0,4),(0,5),(3,7),(4,6),(5,1),(5,2),(5,3),(5,6),(6,7)],8)
[1,3,2,7,8,5,6,4]=>([(0,3),(0,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,2),(7,1)],8)
[1,6,2,4,8,7,3,5]=>([(0,3),(0,4),(1,5),(2,5),(2,6),(2,7),(3,6),(3,7),(4,1),(4,2)],8)
[6,5,2,1,8,7,3,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4)],8)
[2,6,5,3,7,8,4,1]=>([(1,3),(1,4),(1,6),(3,7),(4,7),(6,2),(6,7),(7,5)],8)
[6,2,5,3,8,4,7,1]=>([(1,6),(1,7),(2,3),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
[6,5,2,3,8,7,1,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,5),(4,6),(4,7)],8)
[5,4,1,2,3,8,6,7]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(4,5),(5,6),(5,7),(7,3)],8)
[5,1,4,2,3,7,8,6]=>([(0,6),(0,7),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3),(7,2)],8)
[1,5,4,2,6,3,8,7]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(3,7),(4,1),(4,7),(7,5),(7,6)],8)
[5,1,6,3,8,2,7,4]=>([(0,6),(1,2),(1,3),(1,6),(2,5),(2,7),(3,4),(3,5),(3,7),(6,4),(6,7)],8)
[1,8,7,6,2,5,4,3]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)
[5,2,7,4,1,6,3,8]=>([(0,5),(0,7),(1,4),(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(5,6),(7,6)],8)
[4,7,3,1,5,6,2,8]=>([(0,6),(1,4),(1,6),(2,3),(2,6),(3,7),(4,7),(5,7),(6,5)],8)
[5,8,3,4,1,6,7,2]=>([(0,6),(1,5),(1,7),(2,4),(2,7),(6,7),(7,3)],8)
[1,7,8,4,5,6,2,3]=>([(0,5),(0,6),(0,7),(4,3),(5,4),(6,2),(7,1)],8)
[1,5,8,4,2,6,7,3]=>([(0,4),(0,5),(0,6),(4,7),(5,2),(5,7),(6,1),(6,7),(7,3)],8)
[1,6,3,8,5,2,7,4]=>([(0,2),(0,3),(0,4),(1,7),(2,6),(2,7),(3,5),(3,7),(4,1),(4,5),(4,6)],8)
[5,2,3,7,1,6,4,8]=>([(0,5),(0,7),(1,4),(1,7),(2,3),(3,4),(3,5),(3,7),(4,6),(5,6),(7,6)],8)
[6,2,3,7,5,1,4,8]=>([(0,6),(1,5),(2,3),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,7,3,4,8,6,2,5]=>([(0,2),(0,3),(0,5),(2,7),(3,6),(4,1),(4,6),(4,7),(5,4)],8)
[6,2,3,4,8,1,7,5]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(3,4),(4,5),(4,6),(4,7)],8)
[8,7,3,2,1,6,5,4]=>([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,7,6,3,1,5,2,4]=>([(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[8,5,1,7,2,3,4,6]=>([(1,6),(1,7),(2,3),(2,6),(3,5),(4,7),(5,4)],8)
[2,4,8,5,3,7,1,6]=>([(0,7),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3)],8)
[2,4,1,8,5,3,7,6]=>([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(6,3),(6,4),(7,3),(7,4)],8)
[2,4,8,6,3,1,7,5]=>([(0,6),(0,7),(1,4),(1,5),(3,6),(4,6),(4,7),(5,2),(5,3),(5,7)],8)
[3,4,6,8,2,1,7,5]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(5,4),(5,7)],8)
[3,4,1,5,8,2,7,6]=>([(0,3),(1,4),(1,7),(3,7),(4,5),(4,6),(7,2),(7,5),(7,6)],8)
[8,1,4,5,3,2,7,6]=>([(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[3,4,1,5,2,8,7,6]=>([(0,2),(1,3),(1,7),(2,7),(3,4),(3,5),(3,6),(7,4),(7,5),(7,6)],8)
[3,4,6,2,1,8,7,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(3,7),(4,5),(4,6)],8)
[3,5,6,2,1,7,8,4]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,6),(4,5),(5,7),(7,3)],8)
[3,4,6,2,7,8,1,5]=>([(0,7),(1,6),(1,7),(2,3),(3,5),(3,7),(5,6),(6,4)],8)
[8,1,4,6,3,7,2,5]=>([(1,2),(1,4),(1,5),(2,7),(3,6),(4,6),(4,7),(5,3),(5,7)],8)
[8,1,4,6,3,7,5,2]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(4,7),(5,3),(5,7)],8)
[3,5,6,2,1,7,4,8]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(3,4),(4,7),(6,5),(7,5)],8)
[8,1,5,6,7,3,4,2]=>([(1,4),(1,6),(1,7),(5,2),(6,3),(7,5)],8)
[8,1,5,6,7,3,2,4]=>([(1,3),(1,4),(1,6),(3,7),(4,7),(5,2),(6,5)],8)
[3,4,1,6,8,7,2,5]=>([(0,5),(1,4),(1,7),(4,6),(5,6),(5,7),(7,2),(7,3)],8)
[3,5,6,1,8,7,2,4]=>([(0,4),(0,7),(1,3),(1,5),(1,6),(2,5),(2,6),(3,7),(4,2)],8)
[2,1,3,8,6,7,4,5]=>([(0,7),(1,7),(5,3),(6,2),(7,4),(7,5),(7,6)],8)
[8,1,3,2,6,7,5,4]=>([(1,3),(1,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,2)],8)
[2,3,8,6,7,1,5,4]=>([(0,6),(0,7),(1,5),(4,3),(5,2),(5,4),(5,6),(5,7)],8)
[2,4,1,8,6,7,5,3]=>([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(3,4),(3,5),(3,6),(6,2)],8)
[2,5,8,6,1,7,4,3]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(3,5),(4,2),(4,3)],8)
[3,5,6,1,8,7,4,2]=>([(0,4),(0,7),(1,3),(1,5),(1,6),(1,7),(2,5),(2,6),(4,2)],8)
[3,4,1,6,8,7,5,2]=>([(0,5),(1,4),(1,6),(1,7),(5,6),(5,7),(7,2),(7,3)],8)
[3,4,6,8,7,1,5,2]=>([(0,5),(1,4),(1,7),(5,6),(5,7),(6,2),(6,3)],8)
[8,1,4,6,2,7,5,3]=>([(1,4),(1,5),(3,6),(4,3),(4,7),(5,2),(5,6),(5,7)],8)
[3,5,1,6,7,8,4,2]=>([(0,4),(0,7),(1,3),(1,6),(1,7),(4,6),(5,2),(6,5)],8)
[4,5,6,1,7,8,3,2]=>([(0,6),(1,2),(1,3),(1,7),(4,7),(6,4),(7,5)],8)
[4,5,6,1,7,3,8,2]=>([(0,5),(1,2),(1,3),(1,6),(3,7),(4,6),(5,4),(6,7)],8)
[3,5,1,6,7,4,8,2]=>([(0,4),(0,6),(1,3),(1,6),(1,7),(2,5),(4,7),(6,5),(7,2)],8)
[8,1,5,6,7,4,2,3]=>([(1,4),(1,6),(1,7),(5,2),(6,3),(7,5)],8)
[8,1,5,6,7,4,3,2]=>([(1,3),(1,4),(1,5),(1,7),(6,2),(7,6)],8)
[3,5,1,6,7,4,2,8]=>([(0,3),(0,5),(1,4),(1,5),(1,6),(2,7),(3,6),(4,7),(5,7),(6,2)],8)
[4,5,6,1,7,3,2,8]=>([(0,5),(1,2),(1,3),(1,6),(2,7),(3,7),(4,6),(5,4),(6,7)],8)
[6,5,8,7,4,3,1,2]=>([(2,6),(2,7),(3,6),(3,7),(4,5)],8)
[6,4,2,7,8,5,1,3]=>([(0,7),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[6,1,4,8,7,5,2,3]=>([(0,6),(0,7),(1,4),(1,5),(4,3),(5,2),(5,6),(5,7)],8)
[1,6,4,8,7,5,2,3]=>([(0,3),(0,4),(0,5),(3,6),(3,7),(4,2),(5,1),(5,6),(5,7)],8)
[1,8,6,2,4,7,3,5]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(2,7),(4,7),(5,1),(5,2)],8)
[8,1,6,2,4,7,3,5]=>([(1,3),(1,5),(2,6),(3,7),(4,6),(4,7),(5,2),(5,4)],8)
[7,6,2,1,4,8,3,5]=>([(0,7),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(5,7)],8)
[6,4,1,7,8,5,2,3]=>([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(7,4)],8)
[7,6,1,2,4,8,3,5]=>([(0,3),(1,7),(2,7),(3,4),(3,5),(4,6),(5,6),(5,7)],8)
[7,6,1,3,4,8,2,5]=>([(0,7),(1,7),(2,3),(2,4),(3,5),(4,6),(5,6),(5,7)],8)
[8,1,6,3,4,7,2,5]=>([(1,2),(1,3),(1,5),(2,7),(3,6),(4,6),(4,7),(5,4)],8)
[1,8,6,3,4,7,2,5]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(3,7),(4,6),(5,1)],8)
[1,7,2,5,4,8,3,6]=>([(0,4),(0,5),(1,6),(2,6),(2,7),(3,6),(3,7),(4,7),(5,1),(5,2),(5,3)],8)
[7,1,2,5,4,8,3,6]=>([(0,7),(1,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3),(5,4)],8)
[2,7,1,5,4,8,3,6]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,6,3,4,7,1,5]=>([(0,7),(1,2),(1,4),(1,5),(3,6),(3,7),(4,6),(5,3)],8)
[2,8,6,1,4,7,3,5]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(3,5),(6,4),(7,4),(7,5)],8)
[7,2,1,5,4,8,3,6]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,7,5,4,8,3,6]=>([(0,5),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,3),(5,4)],8)
[3,2,7,5,4,8,1,6]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,8,4,7,3,1,6]=>([(0,7),(1,3),(1,4),(1,5),(3,7),(4,6),(4,7),(5,2),(5,6),(5,7)],8)
[2,3,7,5,4,8,1,6]=>([(0,7),(1,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3),(5,4)],8)
[6,8,3,2,4,7,1,5]=>([(0,5),(1,5),(2,6),(3,4),(3,7),(5,6),(5,7)],8)
[3,7,2,5,4,8,1,6]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,7,5,4,8,2,6]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,7,5,4,8,2,6]=>([(0,4),(0,5),(1,6),(2,6),(2,7),(3,6),(3,7),(4,7),(5,1),(5,2),(5,3)],8)
[1,5,8,4,7,3,2,6]=>([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(4,7),(5,1),(5,6),(5,7)],8)
[5,1,8,4,7,3,2,6]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,5),(4,7)],8)
[5,8,2,4,7,3,1,6]=>([(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(4,7),(5,6),(5,7)],8)
[6,8,4,3,7,5,1,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,7)],8)
[8,7,5,6,2,1,4,3]=>([(2,6),(2,7),(3,6),(3,7),(4,5)],8)
[8,5,2,4,7,3,1,6]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[8,1,5,4,7,3,2,6]=>([(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,5,4,7,3,2,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,3,5,4,8,2,6]=>([(0,3),(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,7),(4,6),(5,1),(5,2)],8)
[8,6,3,1,4,7,2,5]=>([(1,6),(2,5),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[8,6,4,2,7,5,1,3]=>([(1,7),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7)],8)
[8,6,4,1,7,2,5,3]=>([(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6)],8)
[5,3,7,4,6,8,2,1]=>([(2,5),(2,7),(3,4),(3,5),(4,7),(5,6),(7,6)],8)
[4,1,3,2,7,8,5,6]=>([(0,6),(0,7),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8)
[1,4,3,2,7,8,5,6]=>([(0,3),(0,4),(0,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,2),(7,1)],8)
[2,4,3,1,7,8,5,6]=>([(0,6),(0,7),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8)
[2,7,3,5,4,8,1,6]=>([(0,7),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(5,2),(5,3)],8)
[2,8,5,4,7,3,1,6]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,3,4,6,8,2,1]=>([(2,5),(3,4),(3,6),(4,7),(5,6),(6,7)],8)
[8,2,5,4,7,3,1,6]=>([(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,3,5,4,8,1,6]=>([(0,3),(1,7),(2,6),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,1,4,7,8,5,6]=>([(0,7),(1,7),(2,7),(5,4),(6,3),(7,5),(7,6)],8)
[8,1,7,6,4,3,5,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(5,7),(6,7)],8)
[8,6,4,5,2,7,1,3]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(5,7)],8)
[7,1,8,6,4,3,5,2]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(4,6),(5,6)],8)
[7,4,2,5,1,6,3,8]=>([(0,7),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,6,5,2,1,4,8]=>([(0,7),(1,6),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[8,3,6,5,2,1,7,4]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[7,3,6,5,2,1,8,4]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[7,5,8,6,4,2,1,3]=>([(1,6),(2,6),(3,7),(4,5),(4,7)],8)
[5,4,2,8,1,3,7,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(3,4),(3,5),(4,6),(4,7)],8)
[5,8,2,6,4,1,3,7]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[6,4,2,5,1,8,3,7]=>([(0,6),(0,7),(1,5),(2,4),(2,6),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[6,3,5,2,1,4,7,8]=>([(0,7),(1,6),(2,6),(3,4),(3,6),(4,7),(6,7),(7,5)],8)
[2,5,8,6,3,1,4,7]=>([(0,7),(1,3),(1,5),(3,7),(4,6),(5,2),(5,4),(7,6)],8)
[2,3,5,8,1,4,7,6]=>([(0,7),(1,3),(3,4),(3,7),(4,2),(4,5),(4,6),(7,5),(7,6)],8)
[2,3,6,8,1,5,7,4]=>([(0,6),(0,7),(1,4),(3,2),(3,5),(4,3),(4,6),(4,7),(7,5)],8)
[6,3,8,5,2,7,1,4]=>([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(4,7)],8)
[6,3,7,5,2,1,4,8]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[2,5,7,6,3,1,4,8]=>([(0,6),(1,4),(1,5),(2,7),(3,7),(4,6),(5,2),(5,3),(6,7)],8)
[2,8,7,6,3,1,5,4]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(5,6),(5,7)],8)
[2,5,8,7,6,3,1,4]=>([(0,7),(1,5),(1,6),(5,7),(6,2),(6,3),(6,4)],8)
[2,4,8,1,6,5,7,3]=>([(0,3),(0,5),(1,5),(1,6),(1,7),(3,2),(3,6),(3,7),(6,4),(7,4)],8)
[2,8,7,3,6,1,4,5]=>([(0,7),(1,3),(1,4),(1,6),(6,2),(6,7),(7,5)],8)
[7,3,5,2,1,4,6,8]=>([(0,7),(1,7),(2,5),(3,4),(3,7),(4,6),(6,5),(7,6)],8)
[8,4,2,5,1,3,7,6]=>([(1,5),(2,4),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,6,8,1,4,7,5]=>([(0,7),(1,4),(4,5),(4,7),(5,2),(5,6),(7,3),(7,6)],8)
[2,7,8,6,3,1,4,5]=>([(0,7),(1,3),(1,4),(1,6),(4,7),(6,2),(7,5)],8)
[7,3,8,5,2,1,4,6]=>([(0,7),(1,7),(2,5),(3,4),(3,5),(3,7),(4,6),(7,6)],8)
[2,3,6,1,8,4,7,5]=>([(0,6),(0,7),(1,4),(3,5),(3,6),(4,3),(4,7),(7,2),(7,5)],8)
[2,8,6,3,1,4,5,7]=>([(0,7),(1,2),(1,3),(1,5),(3,7),(4,6),(5,6),(7,4)],8)
[8,3,5,2,1,4,6,7]=>([(1,7),(2,7),(3,4),(3,7),(4,6),(6,5),(7,6)],8)
[2,4,8,1,3,7,5,6]=>([(0,6),(1,4),(1,6),(4,3),(4,5),(4,7),(6,5),(6,7),(7,2)],8)
[2,5,8,1,7,3,6,4]=>([(0,6),(0,7),(1,4),(1,7),(4,3),(4,5),(4,6),(7,2),(7,5)],8)
[2,8,1,5,7,3,6,4]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(6,4),(6,5),(7,3),(7,5)],8)
[3,8,6,1,4,7,5,2]=>([(0,5),(0,7),(1,3),(1,4),(1,7),(4,6),(7,2),(7,6)],8)
[2,6,8,1,5,7,3,4]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(4,3),(4,5),(6,5),(7,2)],8)
[2,7,1,5,8,3,4,6]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(2,5),(3,4),(6,2),(7,4),(7,5)],8)
[3,7,5,8,1,2,6,4]=>([(0,4),(1,2),(1,3),(1,7),(2,5),(3,5),(3,6),(4,6),(4,7)],8)
[7,3,6,1,2,8,4,5]=>([(0,7),(1,4),(2,3),(2,6),(3,7),(4,6),(4,7),(6,5)],8)
[7,4,8,1,6,5,2,3]=>([(0,5),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4)],8)
[7,4,5,8,6,1,2,3]=>([(0,7),(1,6),(2,5),(5,4),(6,3),(6,7)],8)
[6,8,4,5,1,7,2,3]=>([(0,5),(1,4),(1,7),(2,6),(2,7),(5,7),(6,3)],8)
[5,1,8,7,6,2,3,4]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(3,2),(4,3)],8)
[8,5,1,6,2,7,3,4]=>([(1,6),(2,3),(2,6),(3,5),(3,7),(5,4),(6,7)],8)
[4,6,1,8,7,5,2,3]=>([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(3,5),(3,6),(4,2)],8)
[4,5,1,8,7,2,3,6]=>([(0,3),(1,4),(1,6),(1,7),(2,5),(3,5),(3,6),(3,7),(4,2)],8)
[3,4,8,7,1,2,5,6]=>([(0,5),(1,6),(5,7),(6,2),(6,3),(6,7),(7,4)],8)
[6,4,8,7,1,2,5,3]=>([(0,5),(0,6),(1,5),(1,6),(1,7),(2,3),(3,4),(3,7)],8)
[5,6,8,3,7,1,4,2]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(4,5),(4,7)],8)
[6,4,7,1,2,8,5,3]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(3,6),(3,7),(5,7)],8)
[6,5,1,2,7,3,8,4]=>([(0,3),(1,7),(2,7),(3,5),(3,7),(5,4),(5,6),(7,6)],8)
[6,5,1,8,2,7,3,4]=>([(0,3),(0,6),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(5,4)],8)
[6,5,1,8,7,2,3,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(5,4)],8)
[6,5,1,7,2,8,3,4]=>([(0,7),(1,7),(2,3),(2,7),(3,5),(3,6),(5,4),(7,6)],8)
[6,5,1,7,2,3,8,4]=>([(0,7),(1,7),(2,3),(2,7),(3,5),(5,4),(5,6),(7,6)],8)
[5,6,8,7,4,1,2,3]=>([(1,7),(2,6),(6,5),(7,3),(7,4)],8)
[6,8,5,7,4,1,2,3]=>([(1,7),(2,5),(3,4),(3,7),(5,6)],8)
[7,3,8,1,5,2,4,6]=>([(0,5),(1,3),(1,7),(2,5),(2,6),(2,7),(3,6),(6,4),(7,4)],8)
[4,1,7,5,3,6,2,8]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,7),(3,4),(4,7),(5,7),(6,4)],8)
[1,8,4,2,3,6,7,5]=>([(0,3),(0,4),(0,5),(2,6),(2,7),(4,6),(4,7),(5,2),(7,1)],8)
[2,5,8,3,4,6,7,1]=>([(1,5),(1,6),(3,7),(5,3),(6,2),(6,7),(7,4)],8)
[4,1,7,2,3,6,8,5]=>([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(3,5),(3,6),(6,4),(7,4)],8)
[4,6,2,1,5,7,8,3]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,7),(3,6),(6,4),(7,6)],8)
[4,5,2,3,1,7,8,6]=>([(0,6),(0,7),(1,5),(2,4),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[3,2,6,7,4,1,8,5]=>([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(3,7),(4,5),(4,7),(6,3)],8)
[5,6,2,7,1,4,8,3]=>([(0,3),(1,5),(1,6),(2,5),(2,6),(2,7),(3,7),(6,4),(7,4)],8)
[6,2,3,8,1,7,4,5]=>([(0,6),(0,7),(1,5),(1,7),(2,4),(4,5),(4,6),(4,7),(6,3)],8)
[2,6,8,3,4,7,1,5]=>([(0,7),(1,4),(1,5),(3,6),(3,7),(4,3),(5,2),(5,6)],8)
[4,6,2,7,5,1,3,8]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6),(4,7),(5,7),(6,7)],8)
[2,6,3,1,8,4,5,7]=>([(0,6),(0,7),(1,2),(1,4),(2,6),(2,7),(3,5),(4,5),(4,7),(6,3)],8)
[2,4,3,7,8,1,5,6]=>([(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,2)],8)
[5,3,2,7,4,8,1,6]=>([(0,7),(1,6),(1,7),(2,4),(2,6),(3,4),(3,6),(4,5),(4,7),(6,5)],8)
[5,1,2,7,6,8,4,3]=>([(0,6),(0,7),(1,4),(4,2),(4,3),(4,6),(4,7),(6,5),(7,5)],8)
[2,6,3,1,8,7,4,5]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4)],8)
[3,5,6,4,7,8,1,2]=>([(0,5),(1,3),(1,6),(2,7),(3,7),(6,2),(7,4)],8)
[5,3,6,4,2,8,7,1]=>([(1,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,2,3,7,8,6,1]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)
[4,1,8,2,5,7,3,6]=>([(0,6),(0,7),(1,4),(1,6),(3,5),(4,3),(4,7),(7,2),(7,5)],8)
[3,1,8,4,7,2,5,6]=>([(0,5),(0,7),(1,3),(1,5),(1,7),(3,6),(6,4),(7,2),(7,6)],8)
[6,2,3,8,4,1,7,5]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(3,4),(3,6),(4,5),(4,7)],8)
[2,6,4,1,5,3,8,7]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,7,6,4,1,8,5]=>([(0,3),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3),(6,7)],8)
[2,5,4,1,7,6,8,3]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(6,5),(7,5)],8)
[6,2,1,4,7,8,3,5]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(5,3),(6,4),(7,4),(7,5)],8)
[2,6,5,1,7,8,3,4]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(6,5),(7,4)],8)
[4,7,5,2,1,6,3,8]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,7),(4,6),(5,7),(6,7)],8)
[4,2,3,7,8,1,6,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,5),(3,6),(3,7),(5,4)],8)
[5,8,3,1,7,2,4,6]=>([(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,7),(4,6),(6,5)],8)
[6,8,3,1,5,2,4,7]=>([(0,5),(0,6),(1,3),(1,7),(2,4),(2,5),(4,6),(5,7),(6,7)],8)
[5,1,7,4,2,6,3,8]=>([(0,5),(0,7),(1,2),(1,4),(1,5),(2,7),(3,6),(4,3),(4,7),(5,6),(7,6)],8)
[6,8,3,2,5,1,7,4]=>([(0,6),(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(5,7)],8)
[6,8,4,3,1,5,7,2]=>([(0,7),(1,7),(2,5),(2,7),(3,4),(3,6),(7,6)],8)
[6,8,4,2,1,5,7,3]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(7,6)],8)
[5,1,7,3,2,4,6,8]=>([(0,2),(0,3),(0,7),(1,5),(1,7),(2,6),(3,6),(5,4),(6,5),(7,4)],8)
[5,2,1,8,3,6,7,4]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(5,3),(5,6),(6,4)],8)
[4,3,8,1,6,2,7,5]=>([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(3,5),(3,7),(6,5)],8)
[4,2,1,8,5,7,3,6]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(4,5),(7,3),(7,5)],8)
[6,3,2,1,7,4,5,8]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(6,4),(7,5)],8)
[6,4,2,1,7,5,3,8]=>([(0,7),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(7,6)],8)
[7,5,2,1,8,6,3,4]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4)],8)
[5,3,2,7,6,1,4,8]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,3,2,8,6,1,4,7]=>([(0,6),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[6,3,2,8,7,1,4,5]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[4,2,8,1,7,3,5,6]=>([(0,5),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(5,6),(6,3)],8)
[4,3,8,7,2,1,5,6]=>([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[2,1,5,8,4,7,3,6]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,7),(5,3),(5,7),(6,2),(6,3),(6,7)],8)
[4,3,1,6,2,7,5,8]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(3,5),(3,7),(5,4),(6,5),(7,4)],8)
[5,4,1,7,2,8,6,3]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(3,4),(3,5),(3,7),(6,5)],8)
[6,5,3,1,7,8,4,2]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(7,5)],8)
[5,4,2,1,6,7,3,8]=>([(0,7),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,6),(7,4)],8)
[6,4,2,1,7,8,5,3]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[5,3,2,1,6,7,8,4]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(7,4)],8)
[8,6,1,4,5,7,2,3]=>([(1,7),(2,5),(2,6),(4,7),(5,3),(6,4)],8)
[5,2,8,3,7,4,6,1]=>([(1,5),(1,6),(1,7),(2,3),(2,5),(3,4),(3,7),(4,6)],8)
[6,2,8,5,4,7,3,1]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[1,8,6,3,7,4,2,5]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,7),(5,1),(5,7)],8)
[1,8,6,5,7,2,3,4]=>([(0,2),(0,3),(0,4),(0,6),(3,7),(4,7),(5,1),(6,5)],8)
[5,2,8,4,3,6,7,1]=>([(1,6),(1,7),(2,3),(2,4),(2,6),(3,7),(4,7),(7,5)],8)
[5,4,2,7,3,6,1,8]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(3,5),(4,7),(5,6),(7,6)],8)
[5,4,2,8,3,6,1,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(4,7),(7,5)],8)
[6,5,3,8,4,7,2,1]=>([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[5,2,8,4,3,7,1,6]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[6,2,8,3,7,4,1,5]=>([(0,6),(1,5),(1,7),(2,3),(2,5),(3,4),(3,7),(4,6)],8)
[5,4,2,7,3,1,8,6]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6)],8)
[6,4,3,7,1,2,8,5]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(4,7),(6,5)],8)
[6,4,3,8,1,2,7,5]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,6),(4,7)],8)
[7,6,3,8,4,2,1,5]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(4,6),(5,7)],8)
[7,2,8,5,1,6,3,4]=>([(0,6),(0,7),(1,5),(2,4),(2,5),(2,6),(4,7),(6,3)],8)
[7,2,8,4,3,1,5,6]=>([(0,7),(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(7,5)],8)
[7,5,3,8,4,2,6,1]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[6,4,2,7,3,1,5,8]=>([(0,7),(1,6),(2,6),(2,7),(3,4),(3,6),(4,7),(6,5),(7,5)],8)
[7,6,4,8,2,3,5,1]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(5,6)],8)
[7,6,8,1,2,5,3,4]=>([(0,7),(1,7),(2,6),(5,4),(6,3),(6,5)],8)
[5,3,1,7,8,4,6,2]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,5),(2,7),(5,6),(7,4)],8)
[5,3,2,7,8,4,6,1]=>([(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(7,4)],8)
[5,4,1,6,3,8,7,2]=>([(0,7),(1,7),(2,3),(2,4),(2,7),(4,5),(4,6),(7,5),(7,6)],8)
[6,5,1,7,8,2,3,4]=>([(0,7),(1,7),(2,6),(2,7),(5,3),(6,5),(7,4)],8)
[6,3,1,7,8,4,2,5]=>([(0,7),(1,5),(1,7),(2,3),(2,5),(2,7),(3,6),(5,6),(7,4)],8)
[5,4,1,7,3,8,2,6]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(3,7),(4,5),(4,7),(6,5)],8)
[6,3,2,7,8,4,1,5]=>([(0,6),(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(7,4)],8)
[6,1,5,4,3,2,8,7]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,6,1,3,5,2,4]=>([(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[8,1,6,5,7,3,4,2]=>([(1,3),(1,4),(1,5),(1,6),(4,7),(5,7),(6,2)],8)
[8,4,1,5,7,6,2,3]=>([(1,7),(2,6),(2,7),(6,3),(7,4),(7,5)],8)
[7,8,6,2,5,3,1,4]=>([(1,7),(2,5),(3,4),(3,6),(6,7)],8)
[6,1,3,5,2,8,4,7]=>([(0,6),(0,7),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(4,2),(4,5),(5,7)],8)
[8,1,3,7,4,2,5,6]=>([(1,4),(1,6),(3,7),(4,7),(6,2),(6,3),(7,5)],8)
[4,3,8,7,5,2,1,6]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,7)],8)
[6,7,1,8,5,3,4,2]=>([(0,5),(1,3),(1,4),(1,6),(1,7),(5,7),(6,2)],8)
[2,7,6,4,8,3,5,1]=>([(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(5,6),(5,7)],8)
[6,5,2,7,1,4,8,3]=>([(0,7),(1,7),(2,4),(2,5),(3,4),(3,5),(3,7),(5,6),(7,6)],8)
[7,4,6,1,3,2,8,5]=>([(0,7),(1,3),(1,6),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,2,1,3,8,4,6]=>([(0,7),(1,6),(1,7),(2,5),(3,5),(4,6),(5,4),(5,7)],8)
[8,4,7,6,3,1,5,2]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8)
[7,4,1,5,6,3,8,2]=>([(0,7),(1,6),(2,3),(2,4),(2,6),(4,7),(5,7),(6,5)],8)
[3,4,7,5,6,1,8,2]=>([(0,6),(1,4),(1,7),(2,7),(3,7),(5,3),(6,2),(6,5)],8)
[2,4,7,5,6,3,8,1]=>([(1,4),(1,6),(2,7),(3,7),(4,7),(5,3),(6,2),(6,5)],8)
[5,4,1,7,6,2,8,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,6,7,1,4,8,2]=>([(0,5),(0,7),(1,3),(1,7),(2,6),(4,2),(5,4),(7,6)],8)
[2,7,6,1,3,4,8,5]=>([(0,6),(1,3),(1,4),(1,6),(3,7),(4,7),(5,2),(5,7),(6,5)],8)
[5,7,2,1,6,3,8,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,7),(5,4),(5,7),(6,7)],8)
[4,7,2,5,6,3,8,1]=>([(1,4),(1,6),(2,3),(2,6),(3,7),(4,7),(5,7),(6,5)],8)
[8,6,2,5,7,1,4,3]=>([(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7)],8)
[2,7,4,5,3,8,1,6]=>([(0,7),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(4,6),(4,7),(5,2)],8)
[6,8,7,1,3,2,5,4]=>([(0,2),(0,3),(1,4),(1,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,6,5,7,1,4,3]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(3,5),(4,5)],8)
[5,8,4,3,2,6,7,1]=>([(1,7),(2,7),(3,7),(4,5),(4,7),(7,6)],8)
[1,8,5,6,2,4,7,3]=>([(0,4),(0,5),(0,6),(2,7),(3,7),(5,3),(6,1),(6,2)],8)
[8,1,5,6,2,4,7,3]=>([(1,5),(1,6),(3,7),(4,7),(5,4),(6,2),(6,3)],8)
[6,4,8,1,3,2,7,5]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7)],8)
[1,4,5,2,8,6,7,3]=>([(0,4),(0,5),(3,6),(3,7),(4,3),(5,1),(5,6),(5,7),(7,2)],8)
[2,3,1,7,8,6,4,5]=>([(0,5),(0,6),(0,7),(1,2),(2,5),(2,6),(2,7),(6,4),(7,3)],8)
[3,5,7,6,2,8,1,4]=>([(0,6),(1,6),(1,7),(2,3),(2,6),(3,4),(3,5),(4,7),(5,7)],8)
[4,5,6,1,2,8,7,3]=>([(0,5),(1,4),(3,6),(3,7),(4,3),(5,2),(5,6),(5,7)],8)
[5,4,1,2,8,6,7,3]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)
[8,4,5,2,1,6,7,3]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(4,7),(7,5)],8)
[3,1,2,6,8,4,7,5]=>([(0,6),(0,7),(1,2),(2,6),(2,7),(6,4),(6,5),(7,3),(7,5)],8)
[5,1,3,2,7,8,4,6]=>([(0,6),(0,7),(1,3),(1,4),(3,5),(3,7),(4,5),(4,7),(5,6),(7,2)],8)
[1,5,4,2,7,8,3,6]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,2),(5,7),(7,1)],8)
[4,6,7,8,3,1,5,2]=>([(0,7),(1,6),(1,7),(2,4),(2,7),(5,3),(6,5)],8)
[7,6,2,8,4,3,1,5]=>([(0,7),(1,6),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[5,2,8,6,3,4,7,1]=>([(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,7),(6,7)],8)
[5,6,8,4,3,2,7,1]=>([(1,7),(2,7),(3,7),(4,5),(5,6),(5,7)],8)
[5,3,8,1,7,2,4,6]=>([(0,4),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,7),(3,6),(6,5)],8)
[3,6,7,8,4,2,1,5]=>([(0,7),(1,7),(2,4),(2,6),(4,7),(5,3),(6,5)],8)
[6,5,1,8,4,3,7,2]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[6,3,8,4,2,1,7,5]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(4,6),(4,7)],8)
[2,5,8,3,1,6,7,4]=>([(0,6),(0,7),(1,4),(1,5),(4,6),(4,7),(5,2),(5,7),(7,3)],8)
[3,5,8,1,2,6,7,4]=>([(0,4),(1,5),(1,6),(4,6),(4,7),(5,3),(5,7),(7,2)],8)
[3,2,8,1,5,6,7,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(7,3)],8)
[1,5,8,3,2,6,7,4]=>([(0,3),(0,4),(0,5),(3,6),(3,7),(4,6),(4,7),(5,1),(5,7),(7,2)],8)
[1,3,8,6,2,4,7,5]=>([(0,4),(0,5),(3,6),(4,7),(5,2),(5,3),(5,7),(7,1),(7,6)],8)
[3,2,7,8,4,6,1,5]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(6,3),(7,4),(7,5)],8)
[5,1,8,3,4,6,7,2]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(3,7),(5,3),(7,2)],8)
[4,8,7,2,1,6,3,5]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(5,6)],8)
[2,8,1,6,3,4,7,5]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(4,2),(4,5),(6,5),(7,4)],8)
[8,3,4,2,1,6,5,7]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5),(7,5)],8)
[6,4,7,2,5,8,1,3]=>([(0,5),(1,4),(2,5),(2,6),(3,4),(3,6),(5,7),(6,7)],8)
[8,4,5,2,6,3,1,7]=>([(1,7),(2,5),(3,4),(3,6),(4,7),(5,6),(6,7)],8)
[2,4,5,8,3,6,1,7]=>([(0,7),(1,3),(1,4),(3,6),(4,5),(5,2),(5,6),(6,7)],8)
[3,5,8,1,2,6,4,7]=>([(0,3),(1,4),(1,7),(3,5),(3,7),(4,2),(4,5),(5,6),(7,6)],8)
[8,6,1,3,5,2,4,7]=>([(1,7),(2,3),(2,4),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,5,1,2,6,4,3,7]=>([(1,3),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,8,6,1,3,4,2,7]=>([(0,3),(0,4),(1,5),(1,6),(2,7),(4,7),(5,7),(6,2)],8)
[5,8,4,6,1,3,2,7]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(4,7),(5,7),(6,7)],8)
[7,3,4,5,2,8,1,6]=>([(0,7),(1,6),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)
[5,7,4,3,6,1,8,2]=>([(0,6),(1,6),(2,4),(2,7),(3,5),(3,6),(5,7),(6,7)],8)
[2,6,4,3,7,8,5,1]=>([(1,2),(1,4),(1,5),(2,7),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[7,4,1,8,3,2,5,6]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(2,6),(3,7),(4,7),(7,5)],8)
[6,2,1,7,8,4,5,3]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(7,4)],8)
[7,6,3,1,5,4,8,2]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[2,4,6,5,1,7,8,3]=>([(0,6),(0,7),(1,5),(1,6),(2,7),(3,7),(5,2),(5,3),(7,4)],8)
[1,4,7,5,6,8,2,3]=>([(0,5),(0,6),(2,7),(3,7),(4,3),(5,1),(6,2),(6,4)],8)
[1,4,7,6,5,8,2,3]=>([(0,5),(0,6),(2,7),(3,7),(4,7),(5,1),(6,2),(6,3),(6,4)],8)
[3,7,5,2,4,6,8,1]=>([(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(5,6),(6,7)],8)
[5,6,1,7,4,2,8,3]=>([(0,4),(1,3),(1,5),(1,6),(3,7),(4,6),(5,2),(5,7),(6,7)],8)
[3,7,4,8,1,2,6,5]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(3,6),(3,7),(4,6),(4,7)],8)
[6,3,5,7,8,1,4,2]=>([(0,7),(1,3),(1,6),(2,4),(2,6),(4,7),(7,5)],8)
[3,6,5,7,1,8,4,2]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(1,7),(2,5),(3,5),(5,6)],8)
[6,4,7,8,2,1,3,5]=>([(0,7),(1,6),(1,7),(2,5),(3,5),(5,6),(7,4)],8)
[6,7,3,8,4,1,2,5]=>([(0,3),(1,5),(2,4),(2,6),(3,7),(4,7),(5,6)],8)
[2,7,8,3,4,6,1,5]=>([(0,7),(1,4),(1,5),(4,6),(5,2),(6,3),(6,7)],8)
[7,5,8,4,1,3,2,6]=>([(0,7),(1,6),(2,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)
[4,7,5,8,3,1,2,6]=>([(0,7),(1,3),(2,4),(2,5),(3,7),(4,6),(5,6),(5,7)],8)
[3,6,7,4,8,1,2,5]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(3,7),(4,7),(5,2)],8)
[5,7,3,1,6,8,4,2]=>([(0,5),(0,7),(1,4),(1,7),(2,3),(2,5),(2,7),(4,6),(7,6)],8)
[2,7,3,1,8,6,4,5]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(3,7),(4,5),(4,6),(4,7),(6,2)],8)
[2,8,4,3,1,5,7,6]=>([(0,7),(1,2),(1,3),(1,4),(3,7),(4,7),(7,5),(7,6)],8)
[4,8,1,2,3,5,7,6]=>([(0,6),(1,5),(1,7),(2,7),(6,2),(7,3),(7,4)],8)
[7,6,8,1,2,4,3,5]=>([(0,3),(1,6),(2,6),(3,4),(3,5),(4,7),(5,7)],8)
[7,6,8,5,1,3,2,4]=>([(1,6),(2,6),(3,4),(3,5),(4,7),(5,7)],8)
[2,8,5,4,6,1,7,3]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(3,5),(4,5),(5,6)],8)
[8,4,5,2,7,6,1,3]=>([(1,5),(2,5),(2,6),(2,7),(3,4),(4,6),(4,7)],8)
[8,7,6,4,1,2,5,3]=>([(3,7),(4,5),(5,6),(5,7)],8)
[6,7,1,3,5,2,8,4]=>([(0,4),(1,3),(1,5),(2,7),(3,6),(3,7),(4,7),(5,2),(5,6)],8)
[5,7,2,3,6,8,1,4]=>([(0,6),(1,4),(2,3),(2,5),(3,7),(4,5),(4,6),(5,7)],8)
[8,5,3,2,7,6,1,4]=>([(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,4,6,7,5,8,1,2]=>([(0,4),(1,6),(2,7),(3,7),(5,3),(6,2),(6,5)],8)
[3,4,5,7,6,1,8,2]=>([(0,5),(1,4),(1,7),(2,7),(3,7),(5,6),(6,2),(6,3)],8)
[2,6,4,5,7,8,3,1]=>([(1,2),(1,4),(1,6),(3,7),(4,7),(6,3),(7,5)],8)
[3,8,5,1,6,2,7,4]=>([(0,4),(0,7),(1,2),(1,3),(1,6),(3,7),(4,5),(4,6),(7,5)],8)
[2,5,1,3,6,8,7,4]=>([(0,6),(1,4),(1,6),(4,7),(6,5),(6,7),(7,2),(7,3)],8)
[5,4,6,1,3,7,8,2]=>([(0,6),(1,6),(2,3),(2,4),(4,7),(6,7),(7,5)],8)
[6,3,5,7,1,4,8,2]=>([(0,7),(1,3),(1,5),(2,4),(2,5),(4,7),(5,6),(7,6)],8)
[7,3,4,6,8,1,5,2]=>([(0,6),(1,4),(2,3),(2,7),(4,5),(4,7),(5,6)],8)
[3,7,8,4,1,5,6,2]=>([(0,5),(0,7),(1,3),(1,6),(3,7),(6,2),(7,4)],8)
[8,7,5,4,2,1,6,3]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,2,5,1,8,4,3]=>([(0,5),(0,6),(0,7),(1,3),(2,4),(2,5),(2,6),(3,7),(4,7)],8)
[3,6,1,2,5,8,4,7]=>([(0,3),(1,2),(1,4),(1,6),(2,5),(2,7),(3,4),(3,6),(4,7),(6,5),(6,7)],8)
[1,4,5,8,2,3,7,6]=>([(0,4),(0,5),(2,6),(2,7),(3,1),(3,6),(3,7),(4,2),(5,3)],8)
[1,2,6,4,5,8,3,7]=>([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,3),(5,1),(5,2),(5,4)],8)
[1,5,2,4,6,8,3,7]=>([(0,4),(0,5),(2,7),(3,6),(4,7),(5,2),(5,3),(7,1),(7,6)],8)
[3,6,1,5,8,2,4,7]=>([(0,3),(0,6),(1,2),(1,4),(1,6),(2,5),(2,7),(3,4),(4,7),(6,5),(6,7)],8)
[2,6,5,1,4,8,3,7]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,7),(5,6),(5,7)],8)
[5,2,6,1,4,8,3,7]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(4,7),(5,3),(5,7),(6,3),(6,7)],8)
[2,5,1,8,4,7,3,6]=>([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,7),(5,7),(6,3),(6,7)],8)
[2,7,1,4,3,6,8,5]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(5,4),(6,3),(6,5),(7,3),(7,5)],8)
[1,3,7,5,8,2,4,6]=>([(0,3),(0,4),(1,5),(2,5),(2,7),(3,6),(4,1),(4,2),(4,6),(6,7)],8)
[8,2,1,5,7,3,4,6]=>([(1,5),(1,6),(2,5),(2,6),(4,7),(5,4),(6,3),(6,7)],8)
[2,5,4,8,1,3,7,6]=>([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7)],8)
[2,4,1,3,8,6,7,5]=>([(0,7),(1,3),(1,7),(3,4),(3,5),(3,6),(6,2),(7,4),(7,5),(7,6)],8)
[8,4,3,7,1,2,6,5]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,6),(4,7)],8)
[1,7,3,5,8,2,6,4]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(3,6),(3,7),(4,1),(4,7)],8)
[1,8,4,2,6,7,3,5]=>([(0,3),(0,4),(0,5),(2,6),(4,6),(4,7),(5,2),(5,7),(7,1)],8)
[3,1,6,8,7,2,4,5]=>([(0,6),(0,7),(1,4),(1,7),(4,6),(6,5),(7,2),(7,3)],8)
[7,2,1,6,8,3,4,5]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(5,6),(7,3)],8)
[3,1,7,6,8,2,4,5]=>([(0,3),(0,6),(0,7),(1,5),(1,6),(1,7),(3,5),(5,2),(6,4),(7,4)],8)
[4,1,7,2,6,8,3,5]=>([(0,3),(0,7),(1,5),(1,6),(1,7),(2,5),(3,2),(3,6),(6,4),(7,4)],8)
[5,1,7,2,3,6,8,4]=>([(0,6),(0,7),(1,3),(1,7),(3,4),(4,2),(4,6),(6,5),(7,5)],8)
[7,2,1,6,3,5,8,4]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(4,7),(5,7),(6,3),(6,4)],8)
[2,6,1,7,3,5,8,4]=>([(0,6),(0,7),(1,3),(1,7),(3,6),(4,5),(6,5),(7,2),(7,4)],8)
[7,1,2,5,3,6,8,4]=>([(0,7),(1,5),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7)],8)
[5,4,1,2,7,8,3,6]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(4,5),(4,7),(5,6),(7,3)],8)
[8,1,3,2,4,6,7,5]=>([(1,3),(1,4),(3,7),(4,7),(6,2),(7,5),(7,6)],8)
[7,3,1,2,4,6,8,5]=>([(0,7),(1,6),(2,4),(4,7),(5,6),(7,3),(7,5)],8)
[1,8,3,4,7,2,5,6]=>([(0,3),(0,4),(0,6),(4,7),(5,1),(5,7),(6,5),(7,2)],8)
[3,5,8,1,2,7,4,6]=>([(0,3),(1,4),(1,7),(3,6),(3,7),(4,2),(4,5),(4,6),(7,5)],8)
[3,6,8,1,2,4,7,5]=>([(0,4),(1,5),(1,7),(4,7),(5,3),(5,6),(7,2),(7,6)],8)
[4,1,3,8,7,2,6,5]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,3,7,4,8,2,6,5]=>([(0,3),(0,4),(1,5),(2,5),(2,6),(2,7),(3,6),(3,7),(4,1),(4,2)],8)
[1,4,6,8,2,3,7,5]=>([(0,4),(0,5),(2,6),(2,7),(3,1),(3,7),(4,2),(5,3),(5,6)],8)
[3,5,8,1,7,2,4,6]=>([(0,3),(0,7),(1,4),(1,6),(3,6),(4,2),(4,5),(4,7),(6,5)],8)
[2,6,8,1,7,3,4,5]=>([(0,6),(0,7),(1,4),(1,7),(4,3),(4,6),(5,2),(7,5)],8)
[6,1,5,8,2,3,7,4]=>([(0,6),(0,7),(1,3),(1,4),(3,6),(3,7),(4,5),(5,2),(5,7)],8)
[1,8,3,2,7,5,6,4]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,1)],8)
[3,1,7,2,8,5,6,4]=>([(0,3),(0,7),(1,5),(1,6),(1,7),(3,4),(3,5),(3,6),(6,2),(7,4)],8)
[2,6,7,3,8,1,5,4]=>([(0,6),(0,7),(1,3),(1,4),(2,5),(3,5),(3,6),(3,7),(4,2)],8)
[8,4,1,7,3,6,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7)],8)
[3,7,2,8,6,1,5,4]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5)],8)
[6,2,3,8,7,1,5,4]=>([(0,3),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7)],8)
[5,1,7,8,4,2,6,3]=>([(0,6),(0,7),(1,3),(1,5),(1,6),(3,7),(5,2),(5,7),(6,4)],8)
[5,1,8,7,4,2,6,3]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(3,7),(4,2),(4,7)],8)
[4,7,2,8,3,6,5,1]=>([(1,4),(1,5),(2,3),(2,6),(2,7),(3,5),(4,6),(4,7)],8)
[4,1,7,8,5,3,6,2]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(4,5),(6,5),(7,2)],8)
[5,1,7,4,8,3,6,2]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(3,7),(4,5),(4,7),(6,5)],8)
[4,1,8,7,5,3,6,2]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(3,4),(7,4)],8)
[4,8,2,7,3,6,5,1]=>([(1,4),(1,5),(2,3),(2,5),(2,6),(2,7),(4,6),(4,7)],8)
[4,7,2,6,3,5,8,1]=>([(1,3),(1,5),(2,4),(2,5),(2,6),(3,6),(4,7),(5,7),(6,7)],8)
[6,8,2,4,3,7,5,1]=>([(1,3),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,2,4,3,8,5,1]=>([(1,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,2,7,3,5,4,1]=>([(1,5),(1,7),(2,6),(2,7),(6,3),(6,4)],8)
[3,8,7,2,4,1,5,6]=>([(0,7),(1,6),(2,4),(2,5),(2,6),(6,7),(7,3)],8)
[3,7,8,2,4,1,5,6]=>([(0,7),(1,6),(2,4),(2,6),(4,5),(6,7),(7,3)],8)
[3,6,8,2,4,5,7,1]=>([(1,6),(2,3),(2,6),(3,5),(3,7),(4,7),(6,4)],8)
[3,6,7,2,4,5,8,1]=>([(1,6),(2,3),(2,6),(3,5),(4,7),(5,7),(6,4)],8)
[6,5,1,4,2,3,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,1,7,2,5,4,3]=>([(1,7),(2,6),(2,7),(6,3),(6,4),(6,5)],8)
[8,7,6,1,2,3,5,4]=>([(3,4),(4,7),(7,5),(7,6)],8)
[5,4,3,1,6,2,8,7]=>([(0,7),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(7,5),(7,6)],8)
[8,3,4,7,1,6,2,5]=>([(1,4),(2,3),(2,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,3,4,1,8,5,2,7]=>([(0,6),(0,7),(1,4),(2,3),(2,5),(2,6),(3,7),(4,5),(4,6),(5,7)],8)
[3,8,5,2,7,1,6,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(4,5),(4,7)],8)
[2,8,6,7,5,3,4,1]=>([(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8)
[2,1,8,7,3,6,4,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(7,2),(7,4)],8)
[3,6,5,8,2,4,7,1]=>([(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[5,2,1,8,7,3,4,6]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(4,3)],8)
[6,5,2,7,4,3,8,1]=>([(1,6),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,6,5,2,7,3,8,1]=>([(1,5),(1,7),(2,3),(2,4),(3,7),(4,7),(5,6),(7,6)],8)
[6,2,7,1,8,3,5,4]=>([(0,6),(0,7),(1,5),(2,5),(2,7),(5,6),(7,3),(7,4)],8)
[2,7,5,4,8,3,6,1]=>([(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,5,1,2,6,4,3]=>([(2,4),(3,7),(4,5),(4,6),(4,7)],8)
[8,4,3,2,7,1,6,5]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,1,6,2,3,8,5,4]=>([(0,7),(1,4),(1,5),(4,7),(5,6),(6,2),(6,3),(6,7)],8)
[4,8,1,3,2,7,5,6]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(7,2)],8)
[3,8,1,4,7,5,2,6]=>([(0,5),(0,7),(1,4),(1,7),(3,6),(5,6),(7,2),(7,3)],8)
[6,3,8,7,4,5,1,2]=>([(0,6),(0,7),(1,3),(2,4),(2,6),(2,7),(4,5)],8)
[6,1,4,8,5,2,3,7]=>([(0,6),(0,7),(1,4),(1,5),(2,7),(3,7),(4,3),(5,2),(5,6)],8)
[8,5,7,4,6,2,1,3]=>([(1,6),(2,6),(3,7),(4,5),(4,7)],8)
[4,6,7,8,2,3,5,1]=>([(1,4),(2,6),(2,7),(4,7),(5,3),(6,5)],8)
[8,7,4,6,2,1,5,3]=>([(2,6),(2,7),(3,6),(3,7),(4,5),(4,7)],8)
[7,6,1,3,5,2,8,4]=>([(0,7),(1,7),(2,3),(2,4),(3,5),(3,6),(4,6),(4,7),(5,7)],8)
[5,8,3,2,4,6,1,7]=>([(0,5),(1,5),(2,6),(3,4),(3,7),(5,7),(7,6)],8)
[8,2,6,5,3,1,7,4]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(5,7)],8)
[4,8,7,6,5,2,3,1]=>([(1,7),(2,3),(2,4),(2,5),(2,6)],8)
[2,1,8,6,4,3,7,5]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(4,7),(5,2),(5,7),(6,2),(6,7)],8)
[2,1,7,6,5,3,8,4]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,2),(6,7)],8)
[2,7,6,1,3,5,8,4]=>([(0,6),(1,2),(1,3),(1,6),(2,7),(3,7),(5,7),(6,4),(6,5)],8)
[7,2,5,4,6,1,8,3]=>([(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(3,6),(4,6),(6,7)],8)
[4,7,6,1,2,5,8,3]=>([(0,5),(1,3),(1,4),(1,6),(3,7),(4,7),(5,2),(5,6),(6,7)],8)
[2,4,1,7,6,8,5,3]=>([(0,2),(0,5),(1,4),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(6,3),(7,3)],8)
[3,4,1,7,8,5,6,2]=>([(0,5),(1,4),(1,6),(1,7),(5,6),(5,7),(6,3),(7,2)],8)
[7,5,4,3,1,8,6,2]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,5,6,2,7,3,1,4]=>([(1,7),(2,5),(3,4),(3,6),(4,7),(5,6)],8)
[8,4,2,5,6,1,7,3]=>([(1,6),(2,5),(2,6),(3,5),(3,7),(4,7),(6,4)],8)
[6,3,5,4,1,7,8,2]=>([(0,7),(1,3),(1,7),(2,4),(2,5),(4,7),(5,7),(7,6)],8)
[4,1,3,6,7,5,8,2]=>([(0,6),(0,7),(1,2),(1,3),(3,6),(3,7),(4,5),(6,5),(7,4)],8)
[1,7,2,4,5,8,3,6]=>([(0,3),(0,5),(1,6),(2,6),(2,7),(3,7),(4,2),(5,1),(5,4)],8)
[1,7,4,5,8,3,2,6]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(2,7),(3,7),(4,6),(5,1)],8)
[2,6,4,7,8,3,5,1]=>([(1,3),(1,4),(1,5),(3,7),(4,6),(5,6),(5,7),(7,2)],8)
[1,2,6,4,7,8,3,5]=>([(0,5),(2,7),(3,6),(4,6),(4,7),(5,2),(5,3),(5,4),(7,1)],8)
[6,1,4,7,8,3,5,2]=>([(0,7),(1,3),(1,4),(1,5),(4,6),(5,6),(5,7),(7,2)],8)
[3,6,4,7,8,1,5,2]=>([(0,5),(0,6),(1,3),(1,4),(3,7),(4,6),(4,7),(7,2)],8)
[4,3,6,7,1,8,2,5]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,6),(3,7),(4,6),(5,4)],8)
[3,6,4,7,8,1,2,5]=>([(0,5),(1,3),(1,4),(3,7),(4,6),(4,7),(5,6),(7,2)],8)
[4,7,2,1,5,3,8,6]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,7),(4,5),(4,7),(6,5),(6,7)],8)
[1,3,6,4,7,2,8,5]=>([(0,3),(0,4),(1,5),(2,5),(2,6),(3,6),(3,7),(4,1),(4,2),(5,7)],8)
[3,6,4,7,2,8,5,1]=>([(1,5),(1,6),(2,3),(2,4),(3,7),(4,6),(4,7),(7,5)],8)
[5,1,3,4,2,7,8,6]=>([(0,6),(0,7),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3),(7,2)],8)
[5,4,2,1,3,7,8,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(5,6),(5,7),(7,4)],8)
[1,6,7,3,8,2,5,4]=>([(0,2),(0,3),(0,4),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,1)],8)
[6,1,4,7,8,5,2,3]=>([(0,7),(1,5),(1,6),(5,3),(6,2),(6,7),(7,4)],8)
[6,3,2,1,7,8,5,4]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[8,6,5,1,3,2,4,7]=>([(1,7),(2,7),(3,4),(3,5),(4,6),(5,6),(6,7)],8)
[6,4,7,8,3,2,5,1]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(6,5)],8)
[3,8,4,7,1,2,5,6]=>([(0,5),(1,3),(1,6),(5,7),(6,2),(6,7),(7,4)],8)
[8,6,1,2,5,4,3,7]=>([(1,7),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4),(6,5)],8)
[4,8,6,1,5,3,2,7]=>([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(3,7),(4,7),(5,7),(6,7)],8)
[5,8,6,4,1,3,2,7]=>([(0,7),(1,4),(1,5),(2,3),(2,6),(4,7),(5,7),(6,7)],8)
[8,3,6,4,5,2,1,7]=>([(1,7),(2,7),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,8,5,7,4,2,3,1]=>([(2,7),(3,6),(4,5),(4,7)],8)
[2,3,8,7,1,6,4,5]=>([(0,6),(0,7),(1,5),(5,3),(5,4),(5,6),(5,7),(7,2)],8)
[4,3,7,8,1,6,2,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(3,7),(5,4)],8)
[3,5,8,7,4,1,2,6]=>([(0,5),(1,4),(1,6),(4,7),(5,7),(6,2),(6,3),(6,7)],8)
[7,3,8,4,1,2,5,6]=>([(0,6),(1,3),(2,4),(2,6),(3,7),(4,7),(7,5)],8)
[4,8,1,2,7,3,5,6]=>([(0,5),(1,4),(1,6),(1,7),(3,7),(5,3),(5,6),(7,2)],8)
[6,8,1,2,7,4,5,3]=>([(0,6),(1,4),(1,7),(5,3),(6,2),(6,5),(6,7)],8)
[5,6,8,4,1,3,7,2]=>([(0,7),(1,6),(2,4),(2,5),(5,7),(6,3),(6,7)],8)
[8,5,4,7,1,6,3,2]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8)
[2,5,8,7,3,6,4,1]=>([(1,5),(1,6),(5,4),(5,7),(6,2),(6,3),(6,7)],8)
[2,4,8,7,5,6,1,3]=>([(0,7),(1,6),(1,7),(5,4),(6,2),(6,3),(6,5)],8)
[3,7,4,8,5,6,2,1]=>([(2,4),(2,6),(4,7),(5,3),(6,5),(6,7)],8)
[6,4,8,7,5,1,2,3]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(2,7),(4,5)],8)
[3,8,5,2,4,6,7,1]=>([(1,6),(2,3),(2,4),(2,6),(4,7),(6,7),(7,5)],8)
[5,7,1,8,4,6,2,3]=>([(0,4),(0,7),(1,3),(1,5),(1,6),(3,7),(4,6),(5,2)],8)
[6,3,8,7,2,1,4,5]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(7,4)],8)
[2,3,7,8,5,6,1,4]=>([(0,7),(1,6),(4,3),(5,2),(6,4),(6,5),(6,7)],8)
[3,7,6,8,5,1,2,4]=>([(0,5),(1,2),(1,3),(1,4),(1,7),(3,6),(4,6),(5,7)],8)
[2,6,7,8,5,1,3,4]=>([(0,7),(1,3),(1,6),(1,7),(5,2),(6,5),(7,4)],8)
[2,4,7,8,1,6,3,5]=>([(0,6),(0,7),(1,4),(1,7),(3,2),(4,3),(4,5),(4,6),(7,5)],8)
[5,4,7,8,2,6,3,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(6,5)],8)
[2,8,3,4,1,5,7,6]=>([(0,7),(1,2),(1,6),(3,7),(6,3),(7,4),(7,5)],8)
[6,8,3,4,1,2,7,5]=>([(0,5),(1,4),(2,3),(2,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,7,1,5,2,3,4]=>([(0,3),(0,4),(1,5),(1,7),(6,2),(7,6)],8)
[5,8,3,2,7,6,1,4]=>([(0,5),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)
[2,5,3,1,8,6,7,4]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(3,6),(3,7),(4,5),(4,6),(4,7),(7,2)],8)
[4,5,3,2,8,6,7,1]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)
[3,5,8,6,1,4,7,2]=>([(0,4),(0,7),(1,5),(1,7),(3,6),(5,2),(5,3),(7,6)],8)
[2,8,5,6,1,4,7,3]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,5),(4,2),(7,5)],8)
[4,8,6,1,5,2,7,3]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(4,7),(5,2),(5,7),(6,7)],8)
[5,8,2,3,7,6,1,4]=>([(0,7),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6),(4,7)],8)
[4,6,8,5,3,2,7,1]=>([(1,7),(2,7),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[2,6,4,8,5,1,7,3]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(2,7),(3,5),(3,7),(4,2),(4,5)],8)
[7,6,4,8,5,2,1,3]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(4,7)],8)
[3,4,8,6,5,2,7,1]=>([(1,7),(2,6),(4,7),(5,7),(6,3),(6,4),(6,5)],8)
[3,4,8,7,5,6,2,1]=>([(2,7),(6,5),(7,3),(7,4),(7,6)],8)
[7,5,3,2,8,6,1,4]=>([(0,7),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[2,5,1,3,8,6,7,4]=>([(0,7),(1,3),(1,7),(3,5),(3,6),(6,4),(7,2),(7,5),(7,6)],8)
[4,5,1,2,8,6,7,3]=>([(0,4),(1,5),(4,6),(4,7),(5,3),(5,6),(5,7),(7,2)],8)
[5,4,8,1,3,6,7,2]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(4,7),(7,5)],8)
[8,3,5,4,1,6,7,2]=>([(1,3),(1,7),(2,4),(2,5),(4,7),(5,7),(7,6)],8)
[7,3,4,8,5,6,1,2]=>([(0,7),(1,6),(2,4),(5,3),(6,5),(6,7)],8)
[6,1,5,7,2,4,8,3]=>([(0,7),(1,3),(1,5),(3,7),(4,6),(5,2),(5,4),(7,6)],8)
[7,4,5,1,2,3,8,6]=>([(0,7),(1,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,3,1,2,8,5,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5)],8)
[8,4,7,6,2,1,5,3]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8)
[8,4,6,5,7,1,3,2]=>([(1,3),(1,4),(2,5),(2,6),(5,7),(6,7)],8)
[7,2,1,4,5,8,3,6]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(6,3),(7,4)],8)
[7,4,1,6,3,5,8,2]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6),(5,7),(6,7)],8)
[3,5,7,6,4,1,8,2]=>([(0,5),(0,7),(1,4),(1,6),(2,7),(3,7),(4,7),(6,2),(6,3)],8)
[4,7,5,2,1,3,8,6]=>([(0,5),(1,5),(2,3),(2,4),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,2,3,6,4,8,1]=>([(1,4),(2,3),(2,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,6,2,3,7,1,4,5]=>([(1,7),(2,6),(3,5),(5,6),(5,7),(7,4)],8)
[5,7,2,4,8,3,6,1]=>([(1,4),(1,7),(2,3),(2,5),(3,7),(4,6),(5,6),(5,7)],8)
[1,7,2,4,8,6,3,5]=>([(0,3),(0,5),(2,6),(3,7),(4,1),(4,6),(4,7),(5,2),(5,4)],8)
[7,6,1,5,4,8,3,2]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(5,7),(6,7)],8)
[4,7,3,2,1,8,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,7),(6,5)],8)
[3,1,7,2,5,8,4,6]=>([(0,2),(0,6),(1,5),(1,6),(1,7),(2,5),(2,7),(5,4),(6,3),(7,3),(7,4)],8)
[4,8,7,6,1,2,5,3]=>([(0,6),(1,3),(1,4),(1,5),(1,7),(6,2),(6,7)],8)
[7,8,6,1,3,2,5,4]=>([(1,3),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,6,7,4,1,3,5]=>([(0,7),(1,3),(1,4),(1,5),(1,7),(4,6),(5,2),(7,6)],8)
[5,8,6,4,2,3,1,7]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(5,7),(6,7)],8)
[2,8,3,1,6,5,4,7]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[3,8,1,2,5,7,4,6]=>([(0,4),(1,3),(1,6),(1,7),(4,6),(4,7),(6,5),(7,2),(7,5)],8)
[6,8,5,4,2,7,3,1]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7)],8)
[6,8,3,1,2,4,5,7]=>([(0,7),(1,4),(2,3),(2,6),(4,7),(5,6),(7,5)],8)
[4,6,8,7,3,1,5,2]=>([(0,7),(1,5),(1,7),(2,6),(2,7),(6,3),(6,4)],8)
[6,5,3,7,8,4,1,2]=>([(0,7),(1,7),(2,5),(3,4),(3,7),(7,6)],8)
[4,1,3,8,7,5,6,2]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(4,5),(4,6),(4,7),(7,2)],8)
[6,2,7,4,8,1,3,5]=>([(0,7),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(6,4),(7,5)],8)
[8,4,5,2,1,6,3,7]=>([(1,5),(1,7),(2,5),(2,7),(3,4),(4,7),(5,6),(7,6)],8)
[4,3,2,6,8,1,7,5]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(6,4),(6,5)],8)
[7,1,5,6,3,8,2,4]=>([(0,7),(1,3),(1,4),(1,5),(2,7),(3,6),(4,6),(4,7),(5,2)],8)
[5,1,2,4,7,8,3,6]=>([(0,6),(0,7),(1,5),(2,7),(3,6),(3,7),(5,2),(5,3),(6,4)],8)
[3,5,4,2,8,1,6,7]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[5,1,3,8,4,2,7,6]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,2),(4,5)],8)
[6,2,8,7,3,5,4,1]=>([(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5)],8)
[7,1,8,4,3,6,5,2]=>([(0,7),(1,2),(1,3),(1,4),(1,7),(3,5),(3,6),(4,5),(4,6)],8)
[3,6,8,7,4,1,2,5]=>([(0,5),(1,4),(1,6),(4,7),(5,7),(6,2),(6,3)],8)
[5,6,8,1,7,3,2,4]=>([(0,5),(1,3),(1,4),(1,7),(3,6),(4,6),(5,2),(5,7)],8)
[3,1,6,8,7,4,2,5]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(4,5),(6,5),(7,2),(7,3)],8)
[7,4,6,8,2,1,5,3]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6)],8)
[6,5,8,4,3,1,2,7]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,7)],8)
[2,5,8,3,6,7,4,1]=>([(1,5),(1,6),(5,3),(5,7),(6,2),(6,7),(7,4)],8)
[8,5,1,3,7,4,6,2]=>([(1,6),(1,7),(2,3),(2,4),(4,5),(4,7),(5,6)],8)
[1,5,8,3,7,4,2,6]=>([(0,3),(0,4),(0,5),(2,7),(3,7),(4,2),(4,6),(5,1),(5,6),(5,7)],8)
[3,8,2,7,1,5,6,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[5,8,2,3,6,4,1,7]=>([(0,7),(1,4),(2,3),(2,6),(4,5),(4,6),(5,7),(6,7)],8)
[6,8,2,3,4,7,5,1]=>([(1,6),(2,4),(2,7),(5,3),(5,7),(6,5)],8)
[7,5,1,8,4,2,6,3]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(2,6),(3,7),(4,5),(4,7)],8)
[3,6,8,5,2,7,4,1]=>([(1,6),(1,7),(2,3),(2,4),(2,6),(3,7),(4,5),(4,7)],8)
[2,1,6,5,4,8,3,7]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,7,8,4,6,5,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(6,4),(7,2),(7,3)],8)
[2,1,7,4,3,5,8,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,2),(4,3),(5,4),(6,4),(7,3)],8)
[3,5,7,8,4,6,1,2]=>([(0,4),(1,3),(1,6),(3,7),(5,2),(6,5),(6,7)],8)
[7,5,2,8,4,6,3,1]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(5,6)],8)
[7,8,2,4,3,1,5,6]=>([(0,7),(1,3),(2,4),(2,5),(4,7),(5,7),(7,6)],8)
[7,6,3,8,1,5,4,2]=>([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6)],8)
[7,2,4,1,6,3,8,5]=>([(0,7),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,7),(6,7)],8)
[8,4,3,1,7,5,2,6]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(7,5)],8)
[7,3,1,4,6,8,5,2]=>([(0,7),(1,6),(2,3),(2,6),(5,7),(6,4),(6,5)],8)
[4,3,8,7,1,6,5,2]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7)],8)
[5,2,4,3,6,8,1,7]=>([(0,7),(1,6),(2,3),(2,4),(3,7),(4,7),(7,5),(7,6)],8)
[3,8,6,5,4,1,2,7]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(3,7),(4,7),(5,7),(6,7)],8)
[4,7,5,6,3,8,2,1]=>([(2,7),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,2,7,5,8,3,6,1]=>([(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(6,4),(7,4),(7,5)],8)
[5,8,2,7,3,4,6,1]=>([(1,4),(1,6),(2,3),(2,6),(2,7),(4,5),(5,7)],8)
[6,7,2,4,5,3,8,1]=>([(1,5),(2,4),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[6,3,2,1,4,8,5,7]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(4,6),(7,4),(7,5)],8)
[6,2,3,1,4,7,8,5]=>([(0,7),(1,6),(2,3),(3,7),(6,5),(7,4),(7,6)],8)
[5,2,1,3,6,4,8,7]=>([(0,7),(1,6),(2,6),(3,4),(3,5),(6,3),(6,7),(7,4),(7,5)],8)
[7,1,8,3,5,4,6,2]=>([(0,7),(1,2),(1,5),(1,7),(3,6),(4,6),(5,3),(5,4)],8)
[7,1,2,4,8,5,6,3]=>([(0,7),(1,6),(4,3),(5,4),(5,7),(6,2),(6,5)],8)
[7,2,1,3,4,5,8,6]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(5,7),(6,3)],8)
[8,7,3,5,4,2,1,6]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,4,6,5,3,2,1,7]=>([(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,1,6,4,3,2,8,7]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,7,1,4,6,5,2]=>([(1,6),(1,7),(2,5),(2,7),(7,3),(7,4)],8)
[2,8,3,6,4,7,5,1]=>([(1,3),(1,6),(4,7),(5,2),(5,7),(6,4),(6,5)],8)
[6,2,1,7,5,8,3,4]=>([(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(4,5),(6,3),(7,5)],8)
[6,3,8,7,5,2,1,4]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7)],8)
[6,7,2,1,5,8,4,3]=>([(0,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(7,4)],8)
[7,6,8,1,5,4,3,2]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6)],8)
[5,4,8,7,6,1,3,2]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4)],8)
[7,6,1,8,5,4,3,2]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[6,5,8,1,7,4,3,2]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7)],8)
[6,5,8,7,4,1,3,2]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5)],8)
[1,6,4,8,3,2,5,7]=>([(0,1),(0,2),(0,3),(0,4),(1,7),(2,7),(3,5),(3,7),(4,5),(4,6),(7,6)],8)
[1,8,3,5,6,2,4,7]=>([(0,2),(0,3),(0,5),(1,7),(3,6),(4,1),(5,4),(5,6),(6,7)],8)
[1,4,8,5,6,2,3,7]=>([(0,5),(0,6),(2,7),(3,7),(4,3),(5,2),(6,1),(6,4)],8)
[1,2,8,5,3,7,4,6]=>([(0,5),(2,6),(3,6),(3,7),(4,2),(4,7),(5,1),(5,3),(5,4)],8)
[6,1,4,8,2,3,5,7]=>([(0,6),(0,7),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(5,7)],8)
[8,7,2,5,6,1,4,3]=>([(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8)
[1,8,2,5,4,7,3,6]=>([(0,4),(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(5,1),(5,2),(5,3)],8)
[5,7,4,1,2,3,8,6]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(3,7),(4,5),(5,6),(5,7)],8)
[1,7,4,2,5,3,8,6]=>([(0,2),(0,3),(0,4),(1,6),(1,7),(2,7),(3,5),(4,1),(4,5),(5,6),(5,7)],8)
[6,7,4,2,1,3,8,5]=>([(0,6),(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(5,7)],8)
[6,4,3,8,5,7,1,2]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(5,6)],8)
[7,4,3,6,2,1,5,8]=>([(0,7),(1,7),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[7,2,5,3,4,1,6,8]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,7),(5,7),(7,6)],8)
[8,3,7,4,5,6,1,2]=>([(1,5),(2,4),(2,7),(6,3),(7,6)],8)
[2,7,4,3,1,5,6,8]=>([(0,7),(1,2),(1,3),(1,4),(2,7),(3,7),(4,6),(5,6),(7,5)],8)
[6,8,4,2,3,1,5,7]=>([(0,7),(1,7),(2,5),(3,4),(3,6),(5,7),(7,6)],8)
[3,7,5,2,4,1,6,8]=>([(0,7),(1,5),(2,3),(2,4),(2,5),(3,6),(4,7),(5,7),(7,6)],8)
[7,1,3,2,8,4,5,6]=>([(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(5,2),(6,5)],8)
[2,1,7,4,8,3,5,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,2),(5,3),(6,4),(7,3),(7,4)],8)
[5,2,8,6,1,3,4,7]=>([(0,6),(1,4),(1,7),(2,4),(2,6),(2,7),(3,5),(6,3),(7,5)],8)
[2,8,3,1,4,5,6,7]=>([(0,7),(1,3),(1,4),(4,7),(5,2),(6,5),(7,6)],8)
[7,4,8,2,3,1,5,6]=>([(0,7),(1,6),(2,6),(2,7),(3,4),(4,7),(7,5)],8)
[4,2,7,3,1,5,6,8]=>([(0,7),(1,5),(1,7),(2,3),(2,5),(3,7),(4,6),(5,6),(7,4)],8)
[8,3,7,2,1,4,5,6]=>([(1,7),(2,7),(3,4),(3,7),(5,6),(7,5)],8)
[6,5,2,4,7,1,3,8]=>([(0,7),(1,7),(2,5),(3,4),(3,5),(4,7),(5,6),(7,6)],8)
[6,5,7,4,1,8,2,3]=>([(0,7),(1,6),(2,6),(3,4),(3,7),(4,5),(6,7)],8)
[7,6,4,5,1,8,2,3]=>([(0,7),(1,7),(2,5),(3,4),(3,7),(4,6),(5,7)],8)
[8,6,4,1,3,7,2,5]=>([(1,6),(2,6),(2,7),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[6,4,3,1,8,2,5,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(6,5)],8)
[7,4,1,2,8,3,5,6]=>([(0,7),(1,6),(1,7),(2,3),(3,5),(3,7),(5,6),(6,4)],8)
[4,8,1,3,5,7,2,6]=>([(0,5),(0,7),(1,3),(1,4),(3,7),(4,6),(7,2),(7,6)],8)
[7,8,4,1,3,6,2,5]=>([(0,6),(0,7),(1,3),(2,4),(2,5),(4,7),(5,6),(5,7)],8)
[6,5,8,1,3,7,2,4]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(3,6),(4,6),(4,7)],8)
[5,3,6,1,8,2,4,7]=>([(0,7),(1,3),(1,5),(2,6),(2,7),(3,6),(6,4),(7,4),(7,5)],8)
[4,7,3,1,8,2,5,6]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,6),(3,7),(5,6),(7,4)],8)
[8,3,1,7,2,4,5,6]=>([(1,6),(1,7),(2,3),(2,6),(3,7),(4,5),(7,4)],8)
[2,8,1,4,7,3,5,6]=>([(0,5),(0,7),(1,3),(1,5),(1,7),(5,6),(6,4),(7,2),(7,6)],8)
[3,1,8,5,4,7,6,2]=>([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(6,3),(6,4),(7,3),(7,4)],8)
[4,1,5,8,3,7,6,2]=>([(0,7),(1,3),(1,4),(1,7),(4,5),(4,6),(7,2),(7,5),(7,6)],8)
[4,1,5,3,8,7,6,2]=>([(0,7),(1,2),(1,3),(1,7),(3,4),(3,5),(3,6),(7,4),(7,5),(7,6)],8)
[4,5,1,8,2,7,6,3]=>([(0,3),(1,4),(1,7),(3,5),(3,6),(3,7),(4,2),(4,5),(4,6)],8)
[4,8,5,3,1,7,6,2]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(5,6),(5,7)],8)
[4,5,2,8,1,7,6,3]=>([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(3,5),(3,6),(3,7)],8)
[4,5,2,1,8,7,6,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(3,5),(3,6),(3,7)],8)
[5,6,2,7,8,1,4,3]=>([(0,5),(0,6),(1,5),(1,6),(1,7),(2,3),(3,7),(7,4)],8)
[4,6,2,8,7,1,5,3]=>([(0,4),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,7),(3,5),(3,6)],8)
[4,8,6,3,7,1,5,2]=>([(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,7),(5,6)],8)
[4,8,6,3,7,5,1,2]=>([(0,6),(0,7),(1,4),(2,3),(2,5),(2,6),(5,7)],8)
[4,6,8,2,7,5,1,3]=>([(0,5),(1,5),(1,6),(1,7),(2,3),(2,6),(3,4),(3,7)],8)
[4,6,2,8,7,5,1,3]=>([(0,6),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5)],8)
[5,6,2,7,4,1,8,3]=>([(0,5),(0,7),(1,3),(2,4),(2,5),(2,6),(3,6),(4,7),(6,7)],8)
[5,6,7,2,3,1,8,4]=>([(0,6),(0,7),(1,3),(2,4),(3,5),(4,6),(4,7),(5,7)],8)
[5,6,7,2,8,3,1,4]=>([(0,7),(1,4),(2,3),(2,6),(3,7),(4,5),(5,6)],8)
[5,6,7,2,1,8,3,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,5),(5,7),(6,4)],8)
[5,6,7,2,1,3,8,4]=>([(0,7),(1,7),(2,4),(4,5),(5,6),(7,3),(7,6)],8)
[5,6,1,7,8,2,4,3]=>([(0,5),(1,6),(1,7),(5,7),(6,2),(6,3),(7,4)],8)
[5,6,1,7,2,4,8,3]=>([(0,4),(1,5),(1,7),(3,6),(4,7),(5,2),(5,3),(7,6)],8)
[5,1,6,7,8,3,4,2]=>([(0,7),(1,4),(1,5),(1,7),(5,3),(6,2),(7,6)],8)
[4,1,6,8,7,3,5,2]=>([(0,6),(0,7),(1,4),(1,5),(1,7),(5,6),(7,2),(7,3)],8)
[3,1,8,6,7,5,4,2]=>([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8)
[4,1,6,8,7,5,3,2]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(7,2),(7,3)],8)
[5,1,6,7,4,8,3,2]=>([(0,7),(1,2),(1,3),(1,5),(1,7),(4,6),(5,6),(7,4)],8)
[5,6,1,7,8,4,2,3]=>([(0,5),(1,3),(1,6),(1,7),(5,7),(6,2),(7,4)],8)
[4,6,8,1,7,5,2,3]=>([(0,5),(0,7),(1,4),(1,6),(1,7),(4,3),(5,2),(5,6)],8)
[4,8,6,1,7,5,3,2]=>([(0,2),(0,5),(0,7),(1,3),(1,4),(1,6),(1,7),(5,6)],8)
[5,6,7,1,8,3,2,4]=>([(0,5),(1,3),(1,4),(1,7),(2,7),(3,6),(4,6),(5,2)],8)
[5,6,7,1,3,8,2,4]=>([(0,5),(1,3),(1,4),(2,6),(3,7),(4,6),(4,7),(5,2)],8)
[5,6,7,1,3,2,8,4]=>([(0,5),(1,3),(1,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[5,6,7,3,1,2,8,4]=>([(0,6),(0,7),(1,3),(2,4),(3,5),(4,6),(4,7),(5,7)],8)
[5,6,7,3,8,1,2,4]=>([(0,6),(0,7),(1,3),(2,4),(3,7),(4,5),(5,6)],8)
[5,6,8,7,4,2,1,3]=>([(1,4),(2,7),(3,7),(4,5),(4,6)],8)
[5,6,7,3,8,2,1,4]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(4,5),(5,6)],8)
[7,4,6,2,3,5,1,8]=>([(0,7),(1,7),(2,5),(3,4),(3,6),(4,7),(5,6),(6,7)],8)
[1,4,8,6,3,2,5,7]=>([(0,3),(0,4),(0,5),(2,6),(3,7),(4,7),(5,1),(5,2),(5,7),(7,6)],8)
[7,4,1,6,3,8,5,2]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6),(4,7),(5,7)],8)
[7,6,3,1,5,8,4,2]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(6,7)],8)
[6,4,2,5,7,3,1,8]=>([(0,6),(1,7),(2,5),(3,4),(3,5),(4,7),(5,6),(6,7)],8)
[4,2,5,7,6,3,1,8]=>([(0,7),(1,6),(2,3),(2,6),(3,7),(4,7),(5,7),(6,4),(6,5)],8)
[7,4,5,6,1,8,3,2]=>([(0,7),(1,6),(2,3),(2,4),(2,7),(5,7),(6,5)],8)
[4,1,5,8,6,3,2,7]=>([(0,6),(1,2),(1,3),(1,6),(2,7),(3,7),(5,7),(6,4),(6,5)],8)
[3,2,7,6,1,8,5,4]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7)],8)
[4,7,5,1,6,8,2,3]=>([(0,5),(0,7),(1,3),(1,4),(3,7),(4,6),(5,2),(7,6)],8)
[8,6,5,1,2,7,4,3]=>([(1,4),(2,7),(3,7),(4,5),(4,6),(4,7)],8)
[3,2,5,1,4,8,7,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(6,3),(6,4),(6,5),(7,3),(7,4),(7,5)],8)
[8,5,4,1,3,2,7,6]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,2,3,6,8,7,5]=>([(0,4),(0,5),(3,6),(3,7),(4,6),(4,7),(5,3),(7,1),(7,2)],8)
[5,4,8,3,7,1,6,2]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7)],8)
[4,7,1,8,2,5,3,6]=>([(0,3),(0,7),(1,4),(1,6),(2,5),(3,6),(4,2),(4,7),(7,5)],8)
[6,4,1,8,5,3,7,2]=>([(0,6),(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[8,4,6,1,3,5,2,7]=>([(1,4),(1,6),(2,3),(2,5),(3,7),(4,7),(5,6),(6,7)],8)
[3,2,5,4,7,8,1,6]=>([(0,7),(1,4),(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(6,3)],8)
[5,2,4,3,7,8,1,6]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[8,1,6,7,2,5,3,4]=>([(1,6),(1,7),(5,4),(6,2),(7,3),(7,5)],8)
[3,1,7,6,5,8,2,4]=>([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(4,7),(5,7),(6,7)],8)
[1,2,7,5,6,8,3,4]=>([(0,6),(2,7),(3,7),(4,3),(5,1),(6,2),(6,4),(6,5)],8)
[6,1,4,7,2,8,3,5]=>([(0,7),(1,3),(1,4),(2,5),(3,5),(3,7),(4,2),(4,6),(7,6)],8)
[3,2,1,7,6,8,4,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(5,4),(6,4),(7,3)],8)
[3,2,8,6,4,7,1,5]=>([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(7,3),(7,4)],8)
[7,8,4,6,3,2,1,5]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,7)],8)
[1,8,6,5,3,7,2,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,6),(5,7)],8)
[8,2,5,3,6,7,1,4]=>([(1,6),(2,3),(2,5),(3,7),(5,6),(5,7),(7,4)],8)
[3,8,5,2,7,6,1,4]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(4,5),(4,6)],8)
[4,7,5,3,1,8,6,2]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(4,7),(5,6),(5,7)],8)
[4,5,3,6,8,1,7,2]=>([(0,7),(1,4),(2,3),(2,6),(4,7),(7,5),(7,6)],8)
[3,5,2,6,1,8,7,4]=>([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,7),(3,6),(6,4),(6,5)],8)
[1,6,3,5,7,2,8,4]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(3,7),(4,1),(4,6),(5,7)],8)
[1,5,4,6,7,8,2,3]=>([(0,3),(0,4),(0,6),(3,7),(4,7),(5,2),(6,1),(7,5)],8)
[8,4,6,5,7,2,1,3]=>([(1,6),(2,6),(3,4),(3,5),(4,7),(5,7)],8)
[7,4,5,2,6,8,1,3]=>([(0,5),(1,6),(2,5),(2,7),(3,4),(4,7),(7,6)],8)
[5,4,2,6,8,7,1,3]=>([(0,7),(1,7),(2,6),(3,6),(3,7),(7,4),(7,5)],8)
[6,5,1,4,3,2,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,4,5,2,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,4,2,3,8,1,6]=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[7,8,1,3,5,6,2,4]=>([(0,4),(1,3),(1,6),(3,7),(5,2),(6,5),(6,7)],8)
[1,7,8,3,5,6,2,4]=>([(0,3),(0,5),(0,6),(3,7),(4,1),(5,2),(6,4),(6,7)],8)
[3,1,7,8,5,2,6,4]=>([(0,3),(0,6),(0,7),(1,5),(1,6),(1,7),(3,4),(3,5),(6,2),(7,4)],8)
[1,3,7,5,8,2,6,4]=>([(0,3),(0,4),(1,5),(2,5),(2,6),(3,6),(3,7),(4,1),(4,2),(4,7)],8)
[3,1,7,5,8,2,6,4]=>([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(6,3),(7,3),(7,4)],8)
[3,5,7,1,8,4,6,2]=>([(0,3),(0,6),(0,7),(1,4),(1,7),(2,6),(4,2),(4,5),(7,5)],8)
[3,5,7,8,1,4,6,2]=>([(0,5),(0,7),(1,3),(1,7),(4,2),(5,4),(5,6),(7,6)],8)
[5,3,7,8,4,6,1,2]=>([(0,6),(0,7),(1,3),(2,4),(2,6),(4,7),(6,5)],8)
[5,3,7,1,8,4,6,2]=>([(0,4),(0,6),(1,6),(1,7),(2,3),(2,5),(2,7),(6,5),(7,4)],8)
[5,1,3,7,8,4,2,6]=>([(0,6),(0,7),(1,3),(1,5),(2,7),(3,7),(5,2),(5,6),(6,4)],8)
[3,6,2,1,4,5,8,7]=>([(0,7),(1,7),(2,3),(2,7),(3,5),(3,6),(4,5),(4,6),(7,4)],8)
[4,6,2,5,1,3,8,7]=>([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,2,5,1,3,8,7]=>([(0,6),(0,7),(1,5),(2,4),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,1,7,3,2,4,5]=>([(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(7,5)],8)
[2,5,8,1,7,3,4,6]=>([(0,6),(0,7),(1,4),(1,7),(3,5),(4,2),(4,5),(4,6),(7,3)],8)
[6,8,2,7,3,1,4,5]=>([(0,7),(1,3),(1,6),(2,4),(2,6),(4,7),(7,5)],8)
[6,8,2,3,7,1,4,5]=>([(0,7),(1,5),(2,3),(2,6),(5,6),(5,7),(7,4)],8)
[8,6,2,7,4,5,1,3]=>([(1,7),(2,6),(3,4),(3,6),(3,7),(4,5)],8)
[5,2,8,1,7,3,4,6]=>([(0,5),(0,7),(1,4),(1,5),(1,7),(2,4),(2,6),(2,7),(3,6),(5,3)],8)
[4,2,3,8,1,5,6,7]=>([(0,7),(1,6),(1,7),(2,4),(3,5),(4,6),(4,7),(7,3)],8)
[5,2,8,3,7,1,4,6]=>([(0,7),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,7),(7,4)],8)
[5,2,8,4,6,1,3,7]=>([(0,6),(1,5),(1,7),(2,3),(2,5),(2,6),(3,7),(6,4),(7,4)],8)
[2,1,5,8,4,3,6,7]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,7),(5,7),(6,2),(6,7),(7,3)],8)
[5,8,3,2,7,1,4,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(7,5)],8)
[4,1,3,8,2,5,6,7]=>([(0,6),(0,7),(1,3),(1,4),(3,7),(4,6),(4,7),(5,2),(7,5)],8)
[3,5,8,2,7,1,4,6]=>([(0,7),(1,5),(1,7),(2,3),(2,7),(3,4),(3,5),(3,6),(7,6)],8)
[4,5,8,2,6,1,3,7]=>([(0,5),(1,5),(1,7),(2,3),(3,4),(3,7),(5,6),(7,6)],8)
[2,6,8,3,7,1,4,5]=>([(0,7),(1,4),(1,5),(4,6),(4,7),(5,3),(5,6),(7,2)],8)
[5,1,8,3,7,2,4,6]=>([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,7),(3,5),(3,7),(7,4)],8)
[5,1,8,4,6,2,3,7]=>([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(3,6),(4,2),(6,5)],8)
[5,8,4,1,6,2,3,7]=>([(0,7),(1,3),(1,7),(2,4),(2,7),(4,5),(5,6),(7,6)],8)
[4,5,8,1,6,2,3,7]=>([(0,5),(1,4),(1,7),(3,6),(4,3),(5,2),(5,7),(7,6)],8)
[5,4,8,1,6,2,3,7]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,7),(3,4),(4,6),(7,6)],8)
[4,8,5,1,6,2,3,7]=>([(0,5),(0,7),(1,2),(1,3),(3,7),(4,6),(5,4),(7,6)],8)
[2,1,5,4,8,3,6,7]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,7),(5,3),(5,7),(6,3),(6,7),(7,2)],8)
[2,4,3,8,1,5,6,7]=>([(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(5,2),(7,5)],8)
[3,1,8,4,2,5,6,7]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(3,5),(4,2),(5,4),(7,5)],8)
[3,8,4,2,1,5,6,7]=>([(0,7),(1,7),(2,4),(2,5),(5,7),(6,3),(7,6)],8)
[2,3,8,4,1,5,6,7]=>([(0,7),(1,6),(4,7),(5,3),(6,2),(6,4),(7,5)],8)
[3,4,2,8,1,5,6,7]=>([(0,7),(1,6),(1,7),(2,4),(3,5),(4,6),(4,7),(7,3)],8)
[3,8,5,2,7,1,4,6]=>([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(4,5),(4,6),(7,6)],8)
[4,8,5,2,6,1,3,7]=>([(0,5),(1,5),(1,7),(2,3),(2,4),(4,7),(5,6),(7,6)],8)
[2,1,4,8,5,3,6,7]=>([(0,5),(0,7),(1,5),(1,7),(3,6),(5,6),(6,4),(7,2),(7,3)],8)
[3,2,8,4,1,5,6,7]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(6,7),(7,3)],8)
[2,8,4,3,1,5,6,7]=>([(0,7),(1,3),(1,4),(1,5),(4,7),(5,7),(6,2),(7,6)],8)
[4,1,7,5,6,2,8,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(3,7),(4,2),(4,7),(5,7),(6,3)],8)
[5,7,4,3,8,1,6,2]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,7),(5,6)],8)
[5,7,4,3,8,2,6,1]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
[3,8,4,2,6,7,5,1]=>([(1,6),(1,7),(2,4),(2,5),(5,6),(5,7),(7,3)],8)
[3,8,4,1,6,7,5,2]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(4,6),(4,7),(7,2)],8)
[6,1,7,5,2,8,4,3]=>([(0,6),(1,4),(1,5),(1,6),(4,7),(5,2),(5,3),(5,7),(6,7)],8)
[5,6,4,3,2,8,1,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[2,6,7,5,3,8,4,1]=>([(1,4),(1,5),(1,6),(3,7),(4,7),(5,3),(6,2),(6,7)],8)
[6,7,4,8,2,5,3,1]=>([(1,6),(1,7),(2,5),(3,4),(3,6),(5,7)],8)
[2,1,6,7,5,3,8,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,7),(4,7),(5,3),(6,2),(6,7)],8)
[3,8,4,2,1,6,7,5]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(5,6),(5,7),(7,3)],8)
[5,7,4,3,8,2,1,6]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
[6,7,4,8,1,2,5,3]=>([(0,6),(0,7),(1,3),(2,4),(3,6),(4,5),(4,7)],8)
[6,7,5,8,1,2,4,3]=>([(0,7),(1,5),(2,6),(5,7),(6,3),(6,4)],8)
[6,7,4,8,3,1,2,5]=>([(0,7),(1,6),(1,7),(2,4),(3,5),(4,7),(5,6)],8)
[3,4,8,1,2,5,7,6]=>([(0,5),(1,6),(5,7),(6,2),(6,7),(7,3),(7,4)],8)
[6,1,3,4,8,2,5,7]=>([(0,6),(0,7),(1,2),(1,4),(2,5),(3,5),(3,6),(4,3),(5,7)],8)
[6,2,3,4,8,1,5,7]=>([(0,6),(1,5),(1,7),(2,3),(3,4),(4,5),(4,6),(6,7)],8)
[3,4,8,2,1,5,7,6]=>([(0,7),(1,7),(2,6),(6,3),(6,7),(7,4),(7,5)],8)
[6,7,5,8,2,4,3,1]=>([(1,7),(2,6),(3,4),(3,5),(6,7)],8)
[6,7,5,8,3,1,4,2]=>([(0,7),(1,6),(2,5),(3,4),(3,6),(5,7)],8)
[3,4,8,1,5,7,6,2]=>([(0,6),(1,5),(1,7),(6,2),(6,7),(7,3),(7,4)],8)
[2,5,7,6,1,4,8,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(3,7),(4,2),(4,3),(6,7)],8)
[6,7,4,8,2,3,5,1]=>([(1,6),(1,7),(2,5),(3,4),(4,6),(5,7)],8)
[6,7,4,8,1,3,5,2]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(4,6),(5,7)],8)
[2,6,7,5,1,3,8,4]=>([(0,6),(1,3),(1,5),(1,6),(2,7),(3,7),(5,2),(6,4),(6,7)],8)
[6,3,1,4,8,2,5,7]=>([(0,7),(1,3),(1,7),(2,4),(2,5),(3,6),(6,5),(7,4),(7,6)],8)
[6,7,4,8,1,3,2,5]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(3,7),(4,7),(5,6)],8)
[6,7,5,8,4,1,3,2]=>([(1,7),(2,6),(3,4),(3,5),(6,7)],8)
[6,7,4,8,2,1,3,5]=>([(0,6),(0,7),(1,5),(2,5),(3,4),(4,7),(5,6)],8)
[6,7,4,8,1,2,3,5]=>([(0,6),(0,7),(1,3),(2,4),(3,7),(4,5),(5,6)],8)
[1,5,6,3,4,8,2,7]=>([(0,3),(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,7),(4,2),(5,1)],8)
[1,4,3,6,5,8,2,7]=>([(0,1),(0,2),(0,3),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,3,4,7,2,6,5]=>([(1,3),(1,4),(3,6),(3,7),(4,5),(5,2),(5,6),(5,7)],8)
[5,1,7,3,4,8,2,6]=>([(0,6),(0,7),(1,2),(1,4),(1,6),(2,7),(3,5),(3,7),(4,3),(6,5)],8)
[6,7,8,2,3,5,4,1]=>([(1,7),(2,6),(6,5),(7,3),(7,4)],8)
[5,8,6,2,3,7,4,1]=>([(1,6),(2,4),(2,5),(5,7),(6,3),(6,7)],8)
[2,8,3,4,7,5,6,1]=>([(1,4),(1,6),(5,3),(6,7),(7,2),(7,5)],8)
[1,8,3,4,7,6,2,5]=>([(0,3),(0,4),(0,5),(4,7),(5,6),(6,1),(6,2),(6,7)],8)
[8,7,2,3,6,5,4,1]=>([(3,4),(4,5),(4,6),(4,7)],8)
[3,8,1,7,5,2,6,4]=>([(0,3),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(3,4),(3,5),(7,4)],8)
[4,8,1,6,7,2,5,3]=>([(0,5),(0,7),(1,4),(1,6),(1,7),(5,3),(5,6),(7,2)],8)
[2,1,3,8,4,6,5,7]=>([(0,7),(1,7),(3,6),(4,6),(5,3),(5,4),(7,2),(7,5)],8)
[8,2,1,7,4,3,6,5]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8)
[1,3,2,8,5,4,6,7]=>([(0,2),(0,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(6,4),(7,4)],8)
[8,3,1,5,7,2,6,4]=>([(1,5),(1,6),(2,4),(2,5),(4,6),(4,7),(5,3),(5,7)],8)
[8,4,5,1,7,2,6,3]=>([(1,4),(2,3),(2,6),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,6,8,7,4,2,3]=>([(0,4),(0,5),(0,6),(5,3),(6,7),(7,1),(7,2)],8)
[8,4,5,7,6,3,2,1]=>([(4,5),(5,6),(5,7)],8)
[1,4,8,5,7,6,2,3]=>([(0,5),(0,7),(5,4),(6,2),(6,3),(7,1),(7,6)],8)
[2,4,8,5,7,3,6,1]=>([(1,4),(1,6),(4,7),(5,3),(5,7),(6,2),(6,5)],8)
[4,3,8,6,5,7,2,1]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[6,7,2,8,5,3,4,1]=>([(1,5),(2,4),(2,6),(2,7),(5,7),(6,3)],8)
[5,2,7,8,6,3,4,1]=>([(1,6),(1,7),(2,4),(2,6),(2,7),(4,5),(7,3)],8)
[4,2,8,6,7,3,5,1]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(4,7),(6,3)],8)
[3,2,8,7,5,4,6,1]=>([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3),(7,3)],8)
[3,1,8,7,5,6,2,4]=>([(0,3),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(3,4),(7,2)],8)
[4,1,8,6,7,5,2,3]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(4,3),(7,2)],8)
[5,1,7,8,6,4,2,3]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(5,3),(7,2)],8)
[6,7,1,8,5,4,2,3]=>([(0,5),(1,3),(1,4),(1,6),(1,7),(5,7),(6,2)],8)
[7,8,3,2,6,1,4,5]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(7,5)],8)
[3,4,8,2,6,1,7,5]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(3,4),(3,6),(3,7),(6,5)],8)
[7,8,4,1,5,6,3,2]=>([(0,7),(1,5),(2,3),(2,4),(2,7),(7,6)],8)
[7,8,1,4,5,6,3,2]=>([(0,5),(1,3),(1,4),(1,7),(6,2),(7,6)],8)
[7,8,1,2,6,3,4,5]=>([(0,4),(1,7),(5,6),(6,3),(7,2),(7,5)],8)
[7,8,5,1,4,6,3,2]=>([(0,7),(1,5),(2,3),(2,4),(2,6),(6,7)],8)
[7,8,4,5,1,6,3,2]=>([(0,6),(1,5),(2,3),(2,4),(2,7),(6,7)],8)
[5,3,8,4,1,6,7,2]=>([(0,6),(0,7),(1,3),(1,7),(2,4),(2,6),(4,7),(7,5)],8)
[6,2,4,8,1,5,3,7]=>([(0,4),(0,6),(1,5),(1,7),(2,3),(2,4),(3,5),(3,6),(4,7),(6,7)],8)
[3,4,8,5,1,6,7,2]=>([(0,6),(1,5),(1,7),(3,7),(6,2),(6,3),(7,4)],8)
[3,5,8,1,4,6,7,2]=>([(0,4),(0,6),(1,5),(1,6),(5,3),(5,7),(6,7),(7,2)],8)
[1,4,8,2,6,3,7,5]=>([(0,3),(0,4),(2,5),(2,7),(3,2),(3,6),(4,1),(4,5),(4,6),(6,7)],8)
[5,3,8,1,4,6,7,2]=>([(0,5),(0,7),(1,5),(1,6),(2,4),(2,6),(6,7),(7,3)],8)
[4,2,6,8,1,5,3,7]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(4,7),(5,3),(5,7),(6,7)],8)
[7,4,2,8,1,5,3,6]=>([(0,6),(1,6),(1,7),(2,4),(2,7),(3,4),(3,6),(3,7),(4,5),(7,5)],8)
[6,1,7,5,8,4,3,2]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(5,6),(7,6)],8)
[6,2,1,8,4,5,3,7]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,3)],8)
[1,2,7,8,5,3,4,6]=>([(0,6),(2,7),(3,7),(4,3),(5,1),(6,2),(6,4),(6,5)],8)
[6,3,7,8,5,4,1,2]=>([(0,7),(1,5),(2,3),(2,4),(2,7),(7,6)],8)
[6,1,5,7,8,4,3,2]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(5,7),(7,6)],8)
[1,7,5,6,8,4,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(5,7),(6,1)],8)
[3,1,8,4,5,6,7,2]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(4,2),(5,4),(7,5)],8)
[2,1,4,8,6,5,3,7]=>([(0,5),(0,6),(1,5),(1,6),(3,7),(4,7),(5,7),(6,2),(6,3),(6,4)],8)
[2,4,1,8,6,5,3,7]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(4,7),(5,7),(6,7)],8)
[4,2,1,8,6,5,3,7]=>([(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(6,4),(7,4)],8)
[3,2,7,8,5,1,4,6]=>([(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(4,5),(6,3),(7,5)],8)
[2,3,7,8,5,1,4,6]=>([(0,7),(1,5),(3,6),(4,2),(5,3),(5,4),(5,7),(7,6)],8)
[2,7,3,8,5,1,4,6]=>([(0,7),(1,3),(1,4),(2,5),(3,6),(4,2),(4,6),(4,7),(7,5)],8)
[3,6,2,8,5,1,4,7]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,7),(6,7)],8)
[4,1,2,8,7,5,3,6]=>([(0,3),(1,4),(1,5),(1,7),(2,6),(3,2),(3,4),(3,5),(3,7),(7,6)],8)
[1,4,2,8,7,5,3,6]=>([(0,2),(0,3),(1,4),(2,5),(2,6),(2,7),(3,1),(3,5),(3,6),(3,7),(7,4)],8)
[7,3,6,8,5,4,1,2]=>([(0,7),(1,5),(2,3),(2,4),(2,6),(6,7)],8)
[7,2,1,8,5,3,4,6]=>([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(4,6),(5,3)],8)
[1,2,6,8,4,5,3,7]=>([(0,6),(2,7),(3,7),(4,3),(5,1),(5,7),(6,2),(6,4),(6,5)],8)
[7,1,6,5,8,4,3,2]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(5,7),(6,7)],8)
[6,5,7,1,8,4,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,7),(6,7)],8)
[5,7,6,1,8,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(5,7),(6,7)],8)
[6,7,1,5,8,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(5,7),(6,7)],8)
[6,7,3,8,5,4,1,2]=>([(0,6),(1,5),(2,3),(2,4),(2,7),(6,7)],8)
[7,1,2,8,4,5,3,6]=>([(0,7),(1,5),(2,6),(3,6),(4,3),(5,2),(5,4),(5,7)],8)
[7,6,1,5,8,4,3,2]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(6,7)],8)
[7,5,6,1,8,4,3,2]=>([(0,7),(1,6),(2,3),(2,4),(2,5),(2,7),(6,7)],8)
[7,1,6,5,3,2,4,8]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[1,8,7,5,3,2,4,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,7),(4,6),(5,6),(6,7)],8)
[1,8,7,4,2,5,3,6]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(4,6),(5,1),(5,6),(6,7)],8)
[8,7,4,2,5,3,6,1]=>([(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,1,6,4,2,5,3,8]=>([(0,7),(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(5,2),(5,6),(6,7)],8)
[2,6,5,4,7,1,3,8]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(6,5),(7,5)],8)
[7,1,5,3,6,4,2,8]=>([(0,7),(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(5,2),(5,6),(6,7)],8)
[5,3,7,1,6,4,2,8]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[5,3,6,4,2,7,1,8]=>([(0,7),(1,5),(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[1,5,3,8,7,4,2,6]=>([(0,2),(0,3),(0,4),(1,7),(2,7),(3,5),(3,6),(3,7),(4,1),(4,5),(4,6)],8)
[7,4,2,8,6,3,5,1]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6)],8)
[5,3,6,1,8,7,4,2]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(7,4),(7,5)],8)
[6,1,5,3,8,7,4,2]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(4,6),(4,7),(5,2),(5,6),(5,7)],8)
[2,8,7,5,4,6,1,3]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(4,6),(5,6)],8)
[2,3,1,8,7,5,4,6]=>([(0,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3),(7,3)],8)
[5,3,8,7,4,2,1,6]=>([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7)],8)
[7,4,2,1,8,6,3,5]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8)
[8,6,3,5,7,4,2,1]=>([(3,7),(4,5),(4,6),(6,7)],8)
[1,8,6,3,5,7,4,2]=>([(0,3),(0,4),(0,5),(0,6),(2,7),(5,7),(6,1),(6,2)],8)
[6,3,8,5,2,1,7,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(4,7)],8)
[8,6,3,7,4,2,1,5]=>([(1,7),(2,7),(3,6),(4,5),(4,6),(5,7)],8)
[2,8,6,4,7,5,1,3]=>([(0,7),(1,3),(1,4),(1,5),(1,7),(4,6),(5,2),(5,6)],8)
[5,1,8,6,3,7,4,2]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(4,2),(4,5),(7,5)],8)
[6,3,7,4,1,8,5,2]=>([(0,5),(1,3),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(5,7)],8)
[8,5,2,6,3,7,4,1]=>([(2,6),(3,4),(3,6),(4,5),(4,7),(6,7)],8)
[6,1,8,7,4,2,5,3]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(3,5),(4,2),(4,5)],8)
[8,6,3,7,4,2,5,1]=>([(2,7),(3,6),(4,5),(4,6),(5,7)],8)
[1,8,6,3,2,4,7,5]=>([(0,2),(0,3),(0,4),(0,5),(3,7),(4,7),(5,6),(7,1),(7,6)],8)
[8,6,3,2,4,7,5,1]=>([(2,7),(3,7),(4,6),(7,5),(7,6)],8)
[7,5,1,8,6,3,2,4]=>([(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(4,6)],8)
[6,1,8,7,5,3,2,4]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(3,5),(4,5)],8)
[4,3,2,8,7,6,1,5]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[2,4,5,1,3,8,7,6]=>([(0,7),(1,2),(1,7),(2,3),(3,4),(3,5),(3,6),(7,4),(7,5),(7,6)],8)
[7,5,8,6,3,2,4,1]=>([(1,6),(2,6),(3,7),(4,5),(4,7)],8)
[1,7,5,8,6,3,2,4]=>([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,7),(5,1),(5,7)],8)
[1,7,4,2,5,8,6,3]=>([(0,3),(0,4),(0,5),(3,7),(4,6),(5,2),(5,7),(7,1),(7,6)],8)
[8,6,3,1,7,4,2,5]=>([(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
[8,7,4,2,5,3,1,6]=>([(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[5,3,1,8,7,4,2,6]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7)],8)
[4,1,8,7,5,3,2,6]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(6,7)],8)
[2,8,6,4,1,3,7,5]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(3,7),(4,5),(4,7),(6,5),(6,7)],8)
[4,1,8,6,3,2,7,5]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(5,7)],8)
[7,4,2,8,6,3,1,5]=>([(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7)],8)
[6,3,1,8,5,2,7,4]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,7)],8)
[8,5,2,6,3,1,7,4]=>([(1,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,7)],8)
[7,4,8,5,2,6,3,1]=>([(1,6),(2,4),(2,7),(3,5),(3,6),(5,7)],8)
[1,8,5,2,7,4,6,3]=>([(0,3),(0,4),(0,5),(2,6),(4,6),(4,7),(5,1),(5,2),(5,7)],8)
[8,5,2,7,4,6,3,1]=>([(2,6),(2,7),(3,4),(3,5),(3,6),(5,7)],8)
[7,4,6,3,1,8,5,2]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(5,7)],8)
[6,3,1,7,4,8,5,2]=>([(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(6,3),(6,5),(7,5)],8)
[8,6,3,1,5,7,4,2]=>([(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(6,7)],8)
[4,1,7,5,8,6,3,2]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(6,5),(7,2),(7,5)],8)
[2,3,1,7,5,8,6,4]=>([(0,3),(1,5),(1,6),(1,7),(3,5),(3,6),(3,7),(6,4),(7,2),(7,4)],8)
[7,4,8,5,2,1,6,3]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7)],8)
[8,5,2,1,7,4,6,3]=>([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(5,6)],8)
[1,7,4,6,3,8,5,2]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(3,7),(4,6),(4,7),(5,1),(5,6)],8)
[4,1,8,5,7,3,2,6]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(6,2),(6,7)],8)
[2,1,5,7,8,4,3,6]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(4,7),(5,7),(6,2),(6,7)],8)
[5,1,7,4,8,3,2,6]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,5),(4,7),(6,5)],8)
[4,7,2,8,3,6,1,5]=>([(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,5),(4,6),(4,7)],8)
[4,6,2,7,3,1,8,5]=>([(0,6),(0,7),(1,4),(1,6),(2,3),(2,5),(3,6),(3,7),(4,5),(5,7)],8)
[6,2,8,4,1,7,3,5]=>([(0,4),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(5,6)],8)
[6,3,4,8,1,7,2,5]=>([(0,5),(0,7),(1,4),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7)],8)
[1,8,5,4,2,3,7,6]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(3,6),(3,7),(4,6),(4,7),(5,1)],8)
[3,5,4,8,1,2,7,6]=>([(0,4),(1,2),(1,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7)],8)
[5,6,3,8,7,1,2,4]=>([(0,5),(0,6),(0,7),(1,3),(2,4),(3,5),(4,6),(4,7)],8)
[2,6,8,4,1,7,3,5]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(3,5),(3,7),(4,2),(4,7),(6,5)],8)
[1,8,7,4,2,6,3,5]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(4,7),(5,1),(5,7)],8)
[6,3,5,8,7,1,2,4]=>([(0,6),(0,7),(1,3),(2,4),(2,5),(3,5),(4,6),(4,7)],8)
[5,2,8,6,7,1,3,4]=>([(0,6),(1,5),(1,7),(2,5),(2,6),(2,7),(6,3),(7,4)],8)
[6,2,8,7,5,1,3,4]=>([(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[1,8,5,7,6,2,3,4]=>([(0,4),(0,6),(0,7),(5,3),(6,5),(7,1),(7,2)],8)
[3,6,7,8,5,1,2,4]=>([(0,4),(1,3),(1,6),(1,7),(4,7),(5,2),(6,5)],8)
[1,8,6,7,5,2,3,4]=>([(0,3),(0,4),(0,6),(0,7),(5,1),(6,2),(7,5)],8)
[5,7,6,4,8,1,2,3]=>([(0,7),(1,6),(2,4),(2,5),(4,7),(5,7),(6,3)],8)
[6,3,8,7,5,1,2,4]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(2,6),(2,7),(4,7)],8)
[2,8,7,4,1,3,5,6]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(5,7),(6,7),(7,2)],8)
[5,4,8,7,1,3,2,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,7),(4,7)],8)
[4,8,6,1,3,2,5,7]=>([(0,3),(0,4),(1,2),(1,5),(1,7),(3,7),(4,7),(5,6),(7,6)],8)
[5,4,2,7,6,8,1,3]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(3,4),(3,6),(3,7),(6,5),(7,5)],8)
[2,8,7,1,4,5,3,6]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(4,5),(6,5),(7,4)],8)
[4,2,1,8,7,3,5,6]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(4,5),(5,3)],8)
[5,1,6,3,2,8,7,4]=>([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7)],8)
[4,6,1,8,7,3,2,5]=>([(0,4),(0,7),(1,2),(1,3),(1,5),(1,6),(2,7),(3,7),(4,5),(4,6)],8)
[8,7,2,3,5,4,1,6]=>([(2,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,3,1,4,8,7,2,6]=>([(0,4),(1,5),(1,6),(1,7),(2,3),(2,4),(3,7),(4,5),(4,6),(4,7)],8)
[4,3,5,2,8,7,1,6]=>([(0,4),(1,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,4,2,8,6,1,5,7]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[3,7,6,8,1,5,2,4]=>([(0,4),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(3,5),(4,6)],8)
[8,1,4,2,3,6,7,5]=>([(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3),(7,2)],8)
[3,7,2,1,8,6,4,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(4,7),(6,3)],8)
[2,8,6,1,7,3,5,4]=>([(0,6),(0,7),(1,4),(1,5),(1,7),(5,6),(7,2),(7,3)],8)
[1,7,6,3,5,8,2,4]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,6)],8)
[3,7,5,1,6,8,2,4]=>([(0,4),(0,7),(1,2),(1,3),(1,6),(2,7),(3,5),(4,6),(7,5)],8)
[3,6,5,8,1,4,7,2]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,7),(3,5),(3,7),(6,7)],8)
[8,1,5,6,4,7,2,3]=>([(1,4),(1,5),(1,6),(3,7),(4,7),(5,3),(6,2)],8)
[3,6,7,4,1,8,2,5]=>([(0,4),(0,7),(1,3),(1,5),(2,7),(3,6),(3,7),(4,6),(5,2)],8)
[1,7,4,6,8,2,5,3]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(4,7),(5,2),(5,7)],8)
[7,5,8,2,6,3,1,4]=>([(0,7),(1,5),(2,5),(2,6),(3,4),(3,6),(4,7)],8)
[2,7,1,6,5,4,8,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(4,7),(5,7),(6,7)],8)
[7,3,2,6,1,8,5,4]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7)],8)
[6,4,7,2,3,1,8,5]=>([(0,6),(0,7),(1,5),(2,5),(2,6),(3,4),(4,6),(4,7),(5,7)],8)
[5,3,1,8,4,6,2,7]=>([(0,5),(0,7),(1,4),(1,7),(2,3),(2,4),(2,7),(3,6),(4,5),(5,6)],8)
[3,8,1,6,7,4,2,5]=>([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(4,5),(6,5),(7,2)],8)
[2,7,4,3,6,8,1,5]=>([(0,7),(1,2),(1,3),(1,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[2,8,4,6,1,5,3,7]=>([(0,5),(0,6),(1,2),(1,4),(1,6),(3,7),(4,3),(4,5),(5,7),(6,7)],8)
[8,4,1,6,3,2,5,7]=>([(1,5),(1,7),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[4,7,3,8,5,2,1,6]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,7,4,8,5,2,6]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(2,5),(3,5),(6,4),(7,2),(7,4)],8)
[7,4,1,6,3,2,8,5]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[3,8,6,2,7,4,1,5]=>([(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(4,7),(5,6)],8)
[7,3,1,4,5,2,8,6]=>([(0,7),(1,5),(2,3),(2,5),(3,6),(3,7),(4,6),(4,7),(5,4)],8)
[6,1,4,8,5,3,2,7]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(2,7),(3,7),(4,7),(5,2),(5,6)],8)
[8,1,2,4,6,7,5,3]=>([(1,7),(5,4),(6,3),(6,5),(7,2),(7,6)],8)
[8,1,3,6,7,5,4,2]=>([(1,5),(1,7),(6,4),(7,2),(7,3),(7,6)],8)
[7,5,2,3,8,6,1,4]=>([(0,7),(1,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[8,6,2,4,1,3,7,5]=>([(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,5,1,8,6,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,6),(1,7),(4,7),(5,6),(5,7)],8)
[4,7,3,2,8,5,6,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,7),(6,5)],8)
[8,4,5,7,6,1,3,2]=>([(1,7),(2,5),(2,6),(7,3),(7,4)],8)
[7,5,8,4,2,3,6,1]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(5,7)],8)
[3,8,4,6,1,7,5,2]=>([(0,4),(0,6),(0,7),(1,2),(1,5),(3,6),(5,3),(5,7)],8)
[3,7,4,6,5,2,8,1]=>([(1,7),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[4,2,7,6,1,5,8,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[8,3,1,4,5,7,6,2]=>([(1,7),(2,5),(2,7),(6,3),(6,4),(7,6)],8)
[3,5,1,6,8,4,7,2]=>([(0,4),(0,6),(1,3),(1,6),(1,7),(4,7),(6,5),(7,2),(7,5)],8)
[6,1,5,7,3,8,4,2]=>([(0,7),(1,3),(1,4),(1,5),(4,7),(5,2),(5,6),(7,6)],8)
[5,8,4,7,3,2,6,1]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,2,6,5,8,4,1,3]=>([(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[8,3,2,5,1,6,7,4]=>([(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(6,4)],8)
[2,6,8,3,7,4,1,5]=>([(0,7),(1,4),(1,5),(3,7),(4,2),(4,6),(5,3),(5,6)],8)
[8,1,5,6,4,7,3,2]=>([(1,2),(1,3),(1,5),(1,6),(4,7),(5,7),(6,4)],8)
[2,5,8,1,6,4,7,3]=>([(0,3),(0,5),(0,7),(1,5),(1,6),(1,7),(3,2),(3,6),(6,4),(7,4)],8)
[7,4,1,8,3,2,6,5]=>([(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[8,3,7,4,2,1,6,5]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(5,6),(5,7)],8)
[5,2,6,8,3,1,7,4]=>([(0,6),(0,7),(1,5),(2,3),(2,5),(3,6),(3,7),(5,4),(5,7)],8)
[3,6,5,8,4,1,7,2]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(2,7),(3,6),(3,7),(4,6),(4,7)],8)
[7,3,6,1,8,4,5,2]=>([(0,7),(1,4),(1,6),(2,3),(2,6),(2,7),(4,7),(6,5)],8)
[8,2,7,3,4,6,5,1]=>([(2,5),(2,6),(6,7),(7,3),(7,4)],8)
[7,3,8,2,5,6,4,1]=>([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[5,7,3,1,6,4,8,2]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[6,1,3,2,4,8,7,5]=>([(0,5),(0,6),(1,3),(1,4),(3,7),(4,7),(7,2),(7,5),(7,6)],8)
[8,7,4,2,3,6,1,5]=>([(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[8,7,1,5,4,2,3,6]=>([(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[3,7,1,5,2,8,6,4]=>([(0,3),(0,6),(1,2),(1,5),(1,6),(2,7),(3,4),(3,5),(3,7),(6,4),(6,7)],8)
[8,7,2,5,4,1,3,6]=>([(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[8,7,2,5,3,1,4,6]=>([(2,6),(3,4),(3,5),(4,7),(5,6),(6,7)],8)
[5,2,8,7,1,4,3,6]=>([(0,5),(0,6),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(5,7),(6,7)],8)
[7,1,8,6,2,4,3,5]=>([(0,7),(1,2),(1,5),(1,7),(3,6),(4,6),(5,3),(5,4)],8)
[8,1,6,2,7,5,3,4]=>([(1,4),(1,6),(4,7),(5,3),(6,2),(6,5),(6,7)],8)
[7,1,6,2,8,5,3,4]=>([(0,7),(1,4),(1,6),(4,7),(5,3),(6,2),(6,5),(6,7)],8)
[6,3,4,1,7,2,8,5]=>([(0,7),(1,3),(2,4),(2,7),(3,6),(3,7),(4,5),(4,6),(7,5)],8)
[7,2,4,3,5,1,8,6]=>([(0,7),(1,5),(1,7),(2,3),(2,4),(3,6),(4,6),(6,5),(6,7)],8)
[5,1,7,2,3,8,6,4]=>([(0,6),(0,7),(1,3),(1,7),(3,4),(4,2),(4,5),(4,6),(7,5)],8)
[8,2,3,5,1,7,6,4]=>([(1,5),(1,6),(1,7),(2,3),(3,4),(3,7),(4,5),(4,6)],8)
[7,6,3,1,4,8,2,5]=>([(0,7),(1,7),(2,5),(3,4),(3,5),(4,6),(5,6),(5,7)],8)
[6,1,8,2,7,5,3,4]=>([(0,6),(0,7),(1,5),(1,7),(4,3),(5,2),(5,4),(5,6)],8)
[7,2,8,1,6,5,3,4]=>([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(6,3)],8)
[7,2,6,4,3,8,1,5]=>([(0,7),(1,6),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,7,4,3,8,2,6]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6)],8)
[5,3,1,7,4,8,2,6]=>([(0,6),(0,7),(1,4),(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(4,7),(6,5)],8)
[7,4,8,2,1,5,3,6]=>([(0,4),(1,4),(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(7,6)],8)
[8,2,4,1,6,3,7,5]=>([(1,3),(1,7),(2,6),(2,7),(3,5),(3,6),(6,4),(7,4),(7,5)],8)
[8,2,7,5,1,6,4,3]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(4,7)],8)
[6,1,7,3,2,8,5,4]=>([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(6,7)],8)
[4,7,2,1,6,3,8,5]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,7),(4,5),(4,7),(6,7)],8)
[6,2,1,5,3,8,4,7]=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,7),(4,6),(4,7),(5,3),(5,6)],8)
[5,3,1,6,2,8,4,7]=>([(0,7),(1,5),(1,7),(2,3),(2,7),(3,5),(3,6),(5,4),(7,4),(7,6)],8)
[6,1,5,2,8,4,3,7]=>([(0,6),(0,7),(1,4),(1,5),(2,7),(3,7),(4,6),(4,7),(5,2),(5,3),(5,6)],8)
[7,4,3,8,1,5,2,6]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(7,5)],8)
[7,4,8,1,5,3,2,6]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(6,7)],8)
[6,1,5,3,2,8,4,7]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[6,3,2,8,4,1,5,7]=>([(0,4),(0,7),(1,4),(1,7),(2,6),(3,5),(3,7),(4,6),(6,5)],8)
[7,3,4,2,8,5,1,6]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(6,5)],8)
[7,1,6,3,4,2,8,5]=>([(0,7),(1,2),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,3)],8)
[8,5,1,3,7,4,2,6]=>([(1,6),(1,7),(2,3),(2,4),(3,7),(4,5),(4,6),(5,7)],8)
[3,8,6,1,5,2,7,4]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(3,7),(4,5),(4,7),(6,7)],8)
[8,6,1,3,7,5,2,4]=>([(1,6),(2,3),(2,4),(3,7),(4,5),(4,6),(4,7)],8)
[4,8,5,6,1,7,3,2]=>([(0,3),(0,6),(1,4),(1,5),(1,7),(2,7),(6,2)],8)
[6,7,1,3,8,5,2,4]=>([(0,4),(1,3),(1,5),(3,6),(4,7),(5,2),(5,6),(5,7)],8)
[3,6,7,1,5,2,8,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,7),(3,5),(3,7),(4,2),(6,7)],8)
[7,1,3,8,4,2,6,5]=>([(0,7),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,7)],8)
[5,6,2,7,1,3,8,4]=>([(0,6),(1,6),(1,7),(2,4),(4,7),(6,3),(6,5),(7,5)],8)
[5,6,2,8,1,3,7,4]=>([(0,5),(1,5),(1,6),(2,4),(4,6),(4,7),(5,3),(5,7)],8)
[6,1,8,3,7,5,2,4]=>([(0,6),(0,7),(1,3),(1,4),(1,7),(3,5),(4,2),(4,5),(4,6)],8)
[7,4,2,1,5,8,3,6]=>([(0,7),(1,5),(2,4),(2,7),(3,4),(3,7),(4,6),(7,5),(7,6)],8)
[7,4,1,5,8,3,2,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(5,7)],8)
[7,3,2,6,4,8,1,5]=>([(0,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[6,4,2,7,3,8,1,5]=>([(0,7),(1,6),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(6,5)],8)
[5,1,8,3,7,4,2,6]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(2,7),(3,7),(4,2),(4,5)],8)
[7,4,8,3,1,5,2,6]=>([(0,7),(1,5),(2,5),(2,7),(3,4),(3,7),(4,6),(7,6)],8)
[5,2,1,7,4,8,3,6]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(4,7),(6,5)],8)
[6,1,8,4,5,2,7,3]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(3,7),(4,3),(5,2),(5,7)],8)
[7,1,6,4,5,2,8,3]=>([(0,7),(1,4),(1,5),(1,6),(3,7),(4,7),(5,3),(6,2),(6,7)],8)
[3,5,2,7,1,6,8,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(3,5),(3,7),(5,4),(7,4)],8)
[4,5,7,3,1,6,8,2]=>([(0,7),(1,4),(2,3),(2,7),(4,5),(4,7),(5,6),(7,6)],8)
[4,5,7,2,8,6,1,3]=>([(0,5),(1,5),(1,6),(1,7),(2,3),(3,4),(3,7),(4,6)],8)
[3,5,1,7,2,6,8,4]=>([(0,3),(0,7),(1,2),(1,5),(2,6),(2,7),(3,5),(3,6),(6,4),(7,4)],8)
[4,5,7,2,8,1,3,6]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(3,7),(4,6),(5,7)],8)
[4,6,7,2,1,5,8,3]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,7),(3,4),(4,6),(7,6)],8)
[4,6,7,1,3,8,5,2]=>([(0,5),(0,7),(1,2),(1,4),(3,6),(4,6),(4,7),(5,3)],8)
[3,6,1,5,7,8,4,2]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(4,7),(6,7),(7,2)],8)
[4,6,7,1,5,8,3,2]=>([(0,5),(0,7),(1,2),(1,3),(1,7),(4,6),(5,4),(7,6)],8)
[6,1,3,7,4,8,5,2]=>([(0,7),(1,3),(1,4),(4,5),(4,7),(5,2),(5,6),(7,6)],8)
[3,2,1,7,4,8,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(6,5),(7,3),(7,5)],8)
[4,1,5,2,7,6,3,8]=>([(0,6),(1,3),(1,6),(2,7),(3,2),(3,4),(3,5),(4,7),(5,7),(6,4),(6,5)],8)
[2,5,1,3,7,6,4,8]=>([(0,6),(1,3),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7),(6,2),(6,4),(6,5)],8)
[2,5,1,4,3,8,6,7]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(7,2)],8)
[3,7,2,1,5,8,6,4]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(4,5),(7,3),(7,5)],8)
[6,2,7,1,4,8,5,3]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(6,3),(6,4),(7,4)],8)
[3,7,4,2,1,8,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,7),(4,6),(4,7),(6,5)],8)
[7,2,5,3,1,8,6,4]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,5,1,4,2,8,6,3]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,5,4,1,3,8,6,2]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(5,6),(5,7)],8)
[5,3,2,1,7,6,4,8]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(6,5),(7,5)],8)
[6,3,2,8,1,5,7,4]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(7,4)],8)
[7,4,3,2,8,1,6,5]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,6,2,4,8,3,5,1]=>([(1,7),(2,7),(3,4),(3,5),(4,6),(5,6),(5,7)],8)
[7,3,6,4,8,1,5,2]=>([(0,7),(1,3),(1,6),(2,4),(2,5),(4,7),(5,6),(5,7)],8)
[2,7,5,3,8,1,4,6]=>([(0,6),(1,2),(1,3),(1,4),(2,7),(3,6),(3,7),(4,5),(4,7),(6,5)],8)
[1,8,5,3,6,4,2,7]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(3,7),(4,6),(5,1),(5,6),(6,7)],8)
[8,6,2,3,7,5,4,1]=>([(2,4),(3,7),(4,5),(4,6),(4,7)],8)
[8,6,3,2,7,5,4,1]=>([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,3,2,7,1,6,4,5]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[7,2,6,1,5,4,3,8]=>([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[8,5,7,4,3,6,2,1]=>([(3,7),(4,7),(5,6),(5,7)],8)
[8,5,7,2,4,6,3,1]=>([(2,5),(2,7),(3,4),(3,6),(6,7)],8)
[8,4,6,7,1,3,2,5]=>([(1,6),(1,7),(2,4),(2,5),(4,7),(5,7),(6,3)],8)
[2,8,5,6,1,4,3,7]=>([(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(3,7),(4,3),(5,7),(6,7)],8)
[7,2,6,8,4,1,5,3]=>([(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(3,6),(4,7)],8)
[7,6,4,8,3,2,5,1]=>([(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8)
[6,5,8,1,4,2,7,3]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,7),(4,5),(4,7)],8)
[6,5,8,4,1,3,7,2]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(5,7)],8)
[5,4,8,3,2,1,7,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,3,7,2,1,6,5,8]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(6,5),(7,5)],8)
[2,5,8,1,4,3,7,6]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(2,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,8,2,1,5,7,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(7,5)],8)
[5,7,4,8,1,3,6,2]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(4,7),(5,6)],8)
[5,7,1,4,8,2,6,3]=>([(0,4),(0,7),(1,3),(1,5),(3,6),(3,7),(4,6),(5,2),(5,7)],8)
[2,7,4,1,8,3,6,5]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(2,7),(3,4),(3,5),(3,7),(6,4),(6,5)],8)
[3,5,1,8,4,2,7,6]=>([(0,3),(0,4),(1,2),(1,4),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7)],8)
[4,1,5,7,3,6,2,8]=>([(0,6),(1,3),(1,4),(1,6),(2,7),(3,7),(4,5),(5,7),(6,2),(6,5)],8)
[4,2,5,8,3,1,7,6]=>([(0,6),(0,7),(1,5),(2,3),(2,5),(3,6),(3,7),(5,4),(5,6),(5,7)],8)
[6,1,2,7,8,3,5,4]=>([(0,7),(1,5),(5,6),(5,7),(6,2),(6,3),(7,4)],8)
[5,3,1,8,6,4,2,7]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(6,7)],8)
[3,1,8,4,7,5,2,6]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(3,5),(4,5),(7,2),(7,3)],8)
[4,2,8,7,3,5,1,6]=>([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,7),(3,7),(7,6)],8)
[4,8,1,7,6,2,3,5]=>([(0,3),(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,5),(4,2)],8)
[6,8,1,4,7,5,2,3]=>([(0,4),(0,7),(1,5),(1,6),(5,3),(6,2),(6,7)],8)
[7,3,8,1,6,4,2,5]=>([(0,6),(1,3),(1,4),(1,7),(2,4),(2,6),(2,7),(3,5),(7,5)],8)
[4,7,8,1,5,3,2,6]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(3,7),(4,7),(5,2),(6,7)],8)
[7,1,8,6,2,5,3,4]=>([(0,7),(1,4),(1,6),(1,7),(5,3),(6,2),(6,5)],8)
[5,8,7,1,3,6,4,2]=>([(0,3),(0,6),(1,4),(1,5),(1,7),(6,2),(6,7)],8)
[3,8,7,2,1,6,4,5]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[2,8,7,1,6,3,5,4]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(7,2),(7,3)],8)
[3,7,6,1,5,4,2,8]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,8,7,6,1,3,5,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(6,7)],8)
[5,8,7,2,6,1,4,3]=>([(0,5),(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7)],8)
[6,8,1,7,5,2,4,3]=>([(0,5),(0,7),(1,4),(1,6),(1,7),(6,2),(6,3)],8)
[7,3,8,6,5,1,2,4]=>([(0,6),(1,5),(2,3),(2,4),(2,6),(2,7),(5,7)],8)
[5,7,8,4,3,1,2,6]=>([(0,7),(1,7),(2,5),(3,4),(3,7),(4,6),(5,7)],8)
[5,8,6,4,3,2,1,7]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(6,7)],8)
[8,7,3,6,4,2,1,5]=>([(2,7),(3,7),(4,5),(4,6),(6,7)],8)
[6,1,4,2,5,3,7,8]=>([(0,7),(1,4),(1,5),(2,7),(4,6),(5,2),(5,6),(6,7),(7,3)],8)
[1,3,7,5,4,2,8,6]=>([(0,4),(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,3)],8)
[6,1,3,5,4,2,7,8]=>([(0,7),(1,4),(1,6),(2,7),(3,7),(4,7),(6,2),(6,3),(7,5)],8)
[6,1,2,5,4,7,3,8]=>([(0,7),(1,5),(2,7),(3,7),(4,6),(5,2),(5,3),(5,4),(7,6)],8)
[5,1,6,3,4,7,8,2]=>([(0,6),(1,4),(1,5),(1,6),(3,7),(5,3),(6,7),(7,2)],8)
[5,2,6,3,4,7,1,8]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,7),(5,7),(7,6)],8)
[3,4,7,5,8,6,1,2]=>([(0,4),(1,6),(3,7),(5,2),(5,7),(6,3),(6,5)],8)
[2,4,7,1,5,3,8,6]=>([(0,3),(0,6),(1,5),(1,6),(2,7),(3,2),(3,5),(5,4),(5,7),(6,4),(6,7)],8)
[2,3,6,7,4,8,1,5]=>([(0,7),(1,5),(2,6),(2,7),(3,6),(4,3),(5,2),(5,4)],8)
[1,3,6,7,4,8,5,2]=>([(0,3),(0,6),(2,7),(4,2),(5,1),(5,7),(6,4),(6,5)],8)
[2,7,6,5,3,1,8,4]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,7),(5,6),(5,7)],8)
[5,2,6,1,4,7,8,3]=>([(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(5,3),(6,5),(7,5)],8)
[4,7,6,5,2,1,8,3]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7)],8)
[5,3,6,2,4,1,7,8]=>([(0,7),(1,6),(2,5),(3,5),(3,6),(5,7),(6,7),(7,4)],8)
[5,7,4,2,1,3,6,8]=>([(0,7),(1,5),(2,5),(3,4),(3,7),(4,6),(5,7),(7,6)],8)
[6,3,1,5,4,7,8,2]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(2,6),(5,7),(6,7),(7,4)],8)
[5,3,6,1,4,2,7,8]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,7),(5,7),(6,7),(7,4)],8)
[1,7,4,2,6,3,8,5]=>([(0,2),(0,3),(0,4),(1,5),(1,7),(2,7),(3,5),(3,6),(4,1),(4,6),(6,7)],8)
[5,7,4,1,2,3,6,8]=>([(0,7),(1,3),(2,4),(2,7),(3,5),(4,6),(5,7),(7,6)],8)
[6,4,1,2,5,3,7,8]=>([(0,7),(1,6),(2,4),(4,5),(4,6),(5,7),(6,7),(7,3)],8)
[4,7,6,3,8,5,1,2]=>([(0,6),(0,7),(1,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[3,7,6,5,2,8,1,4]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7)],8)
[3,7,6,5,1,2,8,4]=>([(0,5),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(5,6),(5,7)],8)
[4,7,2,6,1,3,8,5]=>([(0,4),(1,4),(1,5),(2,3),(2,5),(2,6),(3,7),(4,6),(4,7),(5,7)],8)
[2,7,1,6,8,3,5,4]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(4,5),(6,5),(7,2),(7,3)],8)
[2,7,6,5,8,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7)],8)
[5,2,8,7,6,4,3,1]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[8,2,7,6,1,5,4,3]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[8,4,1,7,6,5,3,2]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[4,5,6,2,3,8,1,7]=>([(0,7),(1,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,3,2,7,8,1,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5)],8)
[6,5,7,3,8,4,2,1]=>([(2,6),(3,6),(4,5),(4,7),(6,7)],8)
[6,8,7,2,4,3,5,1]=>([(1,3),(1,4),(2,5),(2,6),(5,7),(6,7)],8)
[3,2,7,4,5,8,1,6]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(6,3),(7,4)],8)
[6,8,1,5,2,4,3,7]=>([(0,5),(0,7),(1,4),(1,6),(2,7),(3,7),(4,7),(6,2),(6,3)],8)
[8,3,4,6,1,5,2,7]=>([(1,4),(2,3),(2,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,3,4,7,5,8,1,6]=>([(0,7),(1,4),(2,6),(3,6),(3,7),(4,5),(5,2),(5,3)],8)
[6,3,4,7,8,2,5,1]=>([(1,7),(2,6),(3,5),(5,6),(5,7),(7,4)],8)
[5,3,7,4,8,6,1,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(4,6),(4,7),(5,7)],8)
[8,3,6,4,1,7,2,5]=>([(1,4),(1,7),(2,3),(2,5),(3,7),(4,6),(5,6),(5,7)],8)
[1,3,7,4,8,6,2,5]=>([(0,3),(0,5),(2,6),(3,7),(4,1),(4,6),(4,7),(5,2),(5,4)],8)
[3,7,8,5,4,1,2,6]=>([(0,5),(1,3),(1,4),(1,6),(3,7),(4,7),(5,7),(6,2)],8)
[5,4,3,1,7,8,2,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,7),(6,5)],8)
[5,7,6,2,8,4,1,3]=>([(0,6),(1,3),(1,6),(1,7),(2,4),(2,5),(4,7),(5,7)],8)
[6,1,7,5,8,3,4,2]=>([(0,7),(1,3),(1,4),(1,5),(1,7),(4,6),(5,2),(7,6)],8)
[7,5,6,4,1,3,8,2]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(5,7),(6,7)],8)
[1,5,6,8,4,7,3,2]=>([(0,2),(0,3),(0,4),(0,6),(4,7),(5,1),(5,7),(6,5)],8)
[4,1,3,7,6,5,8,2]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[3,4,1,7,5,8,6,2]=>([(0,4),(1,3),(1,6),(1,7),(4,6),(4,7),(6,5),(7,2),(7,5)],8)
[8,5,7,4,3,1,6,2]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7)],8)
[6,8,5,1,7,2,4,3]=>([(0,7),(1,5),(1,7),(2,6),(2,7),(6,3),(6,4)],8)
[8,2,4,1,3,7,6,5]=>([(1,7),(2,3),(2,7),(3,4),(3,5),(3,6),(7,4),(7,5),(7,6)],8)
[7,8,3,6,2,1,4,5]=>([(0,7),(1,7),(2,5),(3,4),(3,7),(7,6)],8)
[8,1,7,4,2,3,6,5]=>([(1,2),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3)],8)
[1,8,7,2,3,5,6,4]=>([(0,3),(0,4),(0,6),(5,2),(6,7),(7,1),(7,5)],8)
[2,8,3,1,6,7,5,4]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(4,5),(4,6),(4,7),(7,2)],8)
[8,2,3,1,5,7,6,4]=>([(1,6),(1,7),(2,5),(5,6),(5,7),(7,3),(7,4)],8)
[3,8,4,1,2,7,6,5]=>([(0,4),(1,2),(1,3),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,4,7,2,3,6,8,1]=>([(1,5),(1,7),(2,5),(2,7),(3,4),(4,7),(5,6),(7,6)],8)
[6,3,2,1,8,4,7,5]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(6,4),(6,5)],8)
[2,3,7,4,1,8,5,6]=>([(0,6),(0,7),(1,5),(2,7),(3,6),(3,7),(5,2),(5,3),(6,4)],8)
[6,4,1,3,2,7,8,5]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[2,7,8,5,1,3,6,4]=>([(0,7),(1,4),(1,5),(1,7),(4,6),(5,3),(7,2),(7,6)],8)
[8,2,5,6,7,1,3,4]=>([(1,7),(2,6),(2,7),(5,3),(6,5),(7,4)],8)
[2,8,5,4,7,6,1,3]=>([(0,7),(1,2),(1,3),(1,4),(1,7),(3,5),(3,6),(4,5),(4,6)],8)
[6,7,1,5,8,2,4,3]=>([(0,5),(1,4),(1,6),(4,7),(5,7),(6,2),(6,3)],8)
[4,8,7,6,2,3,5,1]=>([(1,6),(2,3),(2,4),(2,5),(2,7),(6,7)],8)
[7,8,1,5,3,2,6,4]=>([(0,5),(1,2),(1,3),(1,4),(2,7),(3,6),(3,7),(4,6),(4,7)],8)
[6,5,7,3,8,2,1,4]=>([(0,7),(1,7),(2,6),(2,7),(3,5),(4,5),(5,6)],8)
[8,1,4,7,2,5,6,3]=>([(1,5),(1,6),(5,3),(5,7),(6,2),(6,7),(7,4)],8)
[7,3,4,6,1,5,8,2]=>([(0,7),(1,4),(2,3),(2,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,3,4,5,7,1,6,2]=>([(1,6),(2,4),(2,7),(5,3),(5,7),(6,5)],8)
[4,2,6,8,3,1,5,7]=>([(0,7),(1,6),(1,7),(2,4),(2,6),(4,7),(6,3),(6,5),(7,5)],8)
[3,7,6,2,4,5,1,8]=>([(0,7),(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(5,7),(6,5)],8)
[2,3,6,5,8,1,4,7]=>([(0,6),(1,4),(2,5),(2,7),(3,5),(3,7),(4,2),(4,3),(4,6),(6,7)],8)
[2,3,5,8,6,1,4,7]=>([(0,7),(1,4),(3,6),(4,5),(4,7),(5,2),(5,3),(7,6)],8)
[4,2,3,8,6,1,5,7]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[6,4,1,2,8,3,5,7]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(3,4),(3,7),(4,5),(5,6)],8)
[1,2,3,7,4,6,8,5]=>([(0,4),(2,7),(3,7),(4,6),(5,1),(5,3),(6,2),(6,5)],8)
[3,2,7,1,4,5,8,6]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(5,6),(7,3)],8)
[2,1,5,3,8,7,4,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(6,2),(6,3),(6,4),(7,3),(7,4),(7,5)],8)
[5,8,3,2,4,1,6,7]=>([(0,7),(1,6),(2,6),(3,4),(3,7),(6,7),(7,5)],8)
[4,2,7,1,8,3,5,6]=>([(0,4),(0,7),(1,5),(1,6),(2,6),(2,7),(5,3),(6,4),(7,5)],8)
[4,1,8,2,7,3,5,6]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(3,7),(4,3),(4,5),(7,2)],8)
[1,2,7,5,3,8,4,6]=>([(0,5),(1,7),(2,6),(3,6),(3,7),(4,2),(4,7),(5,1),(5,3),(5,4)],8)
[3,2,7,1,4,8,5,6]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(5,6),(7,3),(7,6)],8)
[1,2,3,7,6,8,4,5]=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(6,4)],8)
[1,2,3,6,8,7,4,5]=>([(0,5),(4,3),(5,7),(6,1),(6,2),(7,4),(7,6)],8)
[1,2,3,7,8,4,6,5]=>([(0,5),(4,3),(5,7),(6,1),(6,2),(7,4),(7,6)],8)
[1,2,3,6,8,4,7,5]=>([(0,5),(3,2),(3,7),(4,1),(4,7),(5,6),(6,3),(6,4)],8)
[1,2,3,7,8,6,4,5]=>([(0,6),(4,3),(5,2),(6,7),(7,1),(7,4),(7,5)],8)
[6,2,8,3,7,5,1,4]=>([(0,6),(1,5),(1,7),(2,3),(2,5),(3,4),(3,6),(3,7)],8)
[4,2,8,3,7,5,6,1]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(7,3)],8)
[7,3,4,8,6,5,1,2]=>([(0,7),(1,5),(2,6),(6,3),(6,4),(6,7)],8)
[5,3,4,8,7,2,6,1]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[4,3,5,8,7,2,6,1]=>([(1,7),(2,7),(3,6),(7,4),(7,5),(7,6)],8)
[4,6,3,8,5,7,2,1]=>([(2,5),(2,6),(3,4),(3,5),(4,6),(4,7),(5,7)],8)
[7,5,3,8,6,2,4,1]=>([(1,7),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7)],8)
[2,6,8,3,7,4,5,1]=>([(1,5),(1,6),(4,3),(5,4),(5,7),(6,2),(6,7)],8)
[1,8,4,3,7,5,6,2]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(4,7),(5,6),(5,7),(7,1)],8)
[2,5,8,3,7,4,6,1]=>([(1,4),(1,5),(3,6),(4,3),(4,7),(5,2),(5,6),(5,7)],8)
[7,4,3,8,6,2,5,1]=>([(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,5,4,8,7,2,6,1]=>([(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,5,3,8,6,7,2,1]=>([(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)
[3,6,7,8,4,5,2,1]=>([(2,6),(2,7),(5,4),(6,5),(7,3)],8)
[2,6,8,5,4,7,3,1]=>([(1,3),(1,4),(1,5),(1,6),(4,7),(5,7),(6,2),(6,7)],8)
[1,8,5,6,4,7,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(5,7),(6,1)],8)
[2,5,8,6,4,7,3,1]=>([(1,3),(1,5),(1,6),(4,7),(5,7),(6,2),(6,4)],8)
[7,4,6,5,8,3,2,1]=>([(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,3,7,8,4,5,2,1]=>([(2,7),(3,4),(3,7),(4,6),(7,5)],8)
[4,3,7,8,5,6,2,1]=>([(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8)
[5,2,8,6,4,7,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(6,7)],8)
[4,2,8,6,5,7,3,1]=>([(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(6,4),(7,4)],8)
[3,2,8,6,7,4,5,1]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,4),(7,3)],8)
[2,3,8,7,5,4,6,1]=>([(1,6),(4,7),(5,7),(6,2),(6,3),(6,4),(6,5)],8)
[1,8,2,7,4,5,6,3]=>([(0,4),(0,7),(5,6),(6,3),(7,1),(7,2),(7,5)],8)
[7,2,8,6,3,4,5,1]=>([(1,7),(2,4),(2,6),(2,7),(5,3),(6,5)],8)
[6,2,8,4,5,7,3,1]=>([(1,6),(1,7),(2,3),(2,4),(2,6),(4,5),(5,7)],8)
[5,2,8,4,6,7,3,1]=>([(1,6),(1,7),(2,3),(2,4),(2,6),(4,7),(7,5)],8)
[4,2,8,5,6,7,3,1]=>([(1,6),(1,7),(2,3),(2,6),(2,7),(4,5),(7,4)],8)
[4,3,6,8,5,7,2,1]=>([(2,5),(2,7),(3,5),(3,7),(5,6),(7,4),(7,6)],8)
[3,4,6,8,7,2,5,1]=>([(1,7),(2,5),(5,6),(5,7),(6,3),(6,4)],8)
[7,3,5,8,6,2,4,1]=>([(1,7),(2,6),(3,4),(3,6),(4,5),(4,7)],8)
[1,8,3,5,7,4,6,2]=>([(0,3),(0,4),(0,6),(2,7),(5,1),(5,7),(6,2),(6,5)],8)
[2,7,8,4,5,6,3,1]=>([(1,4),(1,6),(1,7),(5,2),(6,3),(7,5)],8)
[3,7,5,8,4,6,2,1]=>([(2,3),(2,4),(2,5),(3,7),(4,6),(5,6),(5,7)],8)
[5,7,4,6,8,3,2,1]=>([(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[3,6,5,8,4,7,2,1]=>([(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,8,4,5,7,3,1]=>([(1,3),(1,5),(1,6),(4,7),(5,4),(6,2),(6,7)],8)
[4,2,7,1,3,8,5,6]=>([(0,7),(1,5),(1,6),(2,6),(2,7),(5,3),(6,4),(7,4),(7,5)],8)
[4,2,5,1,3,8,6,7]=>([(0,7),(1,6),(2,6),(2,7),(5,3),(6,4),(6,5),(7,4),(7,5)],8)
[5,3,6,1,7,2,4,8]=>([(0,7),(1,3),(1,6),(2,5),(2,7),(3,5),(5,4),(6,4),(7,6)],8)
[3,7,1,2,5,8,6,4]=>([(0,3),(1,4),(1,6),(1,7),(3,6),(3,7),(4,5),(7,2),(7,5)],8)
[3,7,4,1,2,8,5,6]=>([(0,5),(1,2),(1,3),(2,7),(3,6),(3,7),(5,6),(5,7),(6,4)],8)
[7,5,1,3,4,8,6,2]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(4,5),(5,6),(5,7)],8)
[7,5,1,2,4,8,6,3]=>([(0,3),(1,7),(2,6),(2,7),(3,4),(3,5),(5,6),(5,7)],8)
[6,4,2,3,7,1,5,8]=>([(0,7),(1,6),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5),(7,5)],8)
[7,6,3,8,1,2,5,4]=>([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6)],8)
[7,4,2,3,8,1,6,5]=>([(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[4,7,5,2,8,1,3,6]=>([(0,5),(1,5),(1,7),(2,3),(2,4),(3,7),(4,6),(4,7),(5,6)],8)
[8,2,6,3,7,1,4,5]=>([(1,6),(2,3),(2,4),(3,7),(4,6),(4,7),(6,5)],8)
[8,6,1,2,7,4,5,3]=>([(1,7),(2,6),(5,4),(6,3),(6,5),(6,7)],8)
[8,4,7,1,2,3,6,5]=>([(1,4),(2,3),(2,6),(2,7),(4,5),(5,6),(5,7)],8)
[8,5,7,1,2,4,6,3]=>([(1,6),(2,5),(2,7),(4,7),(6,3),(6,4)],8)
[8,5,7,1,3,4,6,2]=>([(1,4),(1,7),(2,3),(2,6),(5,7),(6,5)],8)
[8,6,2,7,1,3,5,4]=>([(1,7),(2,6),(3,6),(3,7),(7,4),(7,5)],8)
[3,8,5,6,1,2,4,7]=>([(0,4),(1,3),(1,5),(1,6),(2,7),(4,6),(5,2),(6,7)],8)
[3,7,5,8,1,2,4,6]=>([(0,4),(1,2),(1,3),(1,6),(2,5),(3,5),(3,7),(4,6),(6,7)],8)
[7,6,4,8,1,3,5,2]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(5,6)],8)
[6,5,8,1,2,4,7,3]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(5,7)],8)
[3,6,8,1,2,5,7,4]=>([(0,3),(1,4),(1,6),(1,7),(3,6),(3,7),(4,2),(4,5),(7,5)],8)
[3,7,2,4,8,1,6,5]=>([(0,7),(1,3),(1,7),(2,4),(2,5),(3,6),(7,4),(7,5),(7,6)],8)
[4,6,3,8,1,2,5,7]=>([(0,5),(0,7),(1,3),(2,4),(2,7),(3,7),(4,5),(4,6),(7,6)],8)
[4,6,3,7,1,2,5,8]=>([(0,6),(0,7),(1,4),(2,3),(2,7),(3,6),(4,7),(6,5),(7,5)],8)
[4,1,7,8,2,3,6,5]=>([(0,5),(0,6),(0,7),(1,4),(1,7),(3,5),(3,6),(4,3),(7,2)],8)
[5,1,2,8,6,3,4,7]=>([(0,6),(0,7),(1,4),(2,5),(3,2),(4,3),(4,6),(4,7),(7,5)],8)
[5,3,8,1,6,2,4,7]=>([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(2,7),(3,6),(6,5),(7,5)],8)
[6,1,8,5,2,3,4,7]=>([(0,6),(0,7),(1,3),(1,5),(1,6),(2,7),(3,7),(4,2),(5,4)],8)
[6,1,7,5,2,3,4,8]=>([(0,6),(1,3),(1,5),(1,6),(2,7),(3,7),(4,2),(5,4),(6,7)],8)
[6,8,1,3,7,4,5,2]=>([(0,4),(0,7),(1,3),(1,6),(5,2),(6,5),(6,7)],8)
[7,2,8,1,6,3,4,5]=>([(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(7,3)],8)
[4,7,8,2,5,1,3,6]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(5,7),(6,7)],8)
[6,8,2,7,1,4,5,3]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(7,3)],8)
[4,8,7,1,3,5,6,2]=>([(0,3),(0,6),(1,4),(1,5),(1,7),(6,7),(7,2)],8)
[3,8,7,1,2,4,6,5]=>([(0,6),(1,2),(1,3),(1,7),(6,7),(7,4),(7,5)],8)
[4,8,7,1,2,3,6,5]=>([(0,5),(1,2),(1,3),(1,6),(1,7),(4,6),(4,7),(5,4)],8)
[5,8,7,1,2,4,6,3]=>([(0,6),(1,3),(1,4),(1,7),(5,7),(6,2),(6,5)],8)
[5,8,7,1,3,4,6,2]=>([(0,3),(0,6),(1,4),(1,5),(1,7),(2,7),(6,2)],8)
[7,1,8,6,2,3,5,4]=>([(0,7),(1,4),(1,5),(1,7),(5,6),(6,2),(6,3)],8)
[5,8,6,4,1,2,3,7]=>([(0,7),(1,6),(2,3),(2,5),(4,7),(5,7),(6,4)],8)
[7,8,4,1,2,5,3,6]=>([(0,7),(1,3),(2,4),(4,5),(4,7),(5,6),(7,6)],8)
[7,8,1,2,6,5,3,4]=>([(0,5),(1,7),(6,4),(7,2),(7,3),(7,6)],8)
[1,4,8,2,7,5,3,6]=>([(0,3),(0,4),(2,7),(3,1),(3,5),(3,6),(4,2),(4,5),(4,6),(6,7)],8)
[6,1,3,4,7,2,5,8]=>([(0,7),(1,3),(1,4),(2,5),(2,7),(3,5),(4,2),(5,6),(7,6)],8)
[7,8,2,1,6,3,5,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(7,3),(7,4)],8)
[6,1,2,7,5,4,3,8]=>([(0,6),(1,5),(2,7),(3,7),(4,7),(5,2),(5,3),(5,4),(5,6),(6,7)],8)
[1,2,8,7,5,4,3,6]=>([(0,6),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4),(6,5)],8)
[5,1,7,3,6,4,8,2]=>([(0,5),(0,6),(1,2),(1,4),(1,6),(3,7),(4,3),(4,5),(5,7),(6,7)],8)
[6,2,1,5,7,4,3,8]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[6,2,3,7,4,1,5,8]=>([(0,7),(1,5),(2,3),(3,4),(3,7),(4,5),(5,6),(7,6)],8)
[3,4,8,7,5,6,1,2]=>([(0,5),(1,7),(6,4),(7,2),(7,3),(7,6)],8)
[2,3,8,7,4,1,5,6]=>([(0,7),(1,6),(4,7),(6,2),(6,3),(6,4),(7,5)],8)
[2,7,3,8,6,4,1,5]=>([(0,7),(1,4),(1,5),(3,7),(4,6),(5,2),(5,3),(5,6)],8)
[1,8,3,7,6,4,5,2]=>([(0,4),(0,5),(0,7),(6,3),(7,1),(7,2),(7,6)],8)
[5,2,7,1,4,6,8,3]=>([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(5,3),(6,5),(7,3)],8)
[4,6,7,5,2,1,8,3]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(4,7),(5,7)],8)
[6,3,1,4,5,7,8,2]=>([(0,7),(1,6),(2,3),(2,6),(5,7),(6,5),(7,4)],8)
[5,3,1,4,6,2,7,8]=>([(0,6),(1,5),(2,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[5,1,2,4,7,6,8,3]=>([(0,6),(0,7),(1,4),(3,6),(3,7),(4,2),(4,3),(6,5),(7,5)],8)
[5,7,4,1,2,6,3,8]=>([(0,6),(1,4),(2,3),(2,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,8,1,2,6,7,3,5]=>([(0,5),(1,4),(1,6),(1,7),(3,6),(5,3),(5,7),(7,2)],8)
[4,1,7,8,2,6,3,5]=>([(0,5),(0,6),(0,7),(1,4),(1,7),(3,5),(4,3),(4,6),(7,2)],8)
[1,2,8,7,6,5,3,4]=>([(0,7),(6,5),(7,1),(7,2),(7,3),(7,4),(7,6)],8)
[3,1,2,4,6,8,7,5]=>([(0,7),(1,4),(4,7),(6,2),(6,3),(7,5),(7,6)],8)
[3,1,8,4,5,7,6,2]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(5,2),(5,3),(7,5)],8)
[3,2,8,5,4,7,1,6]=>([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(5,7),(6,3),(6,7)],8)
[4,2,8,1,5,3,7,6]=>([(0,5),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8)
[4,3,8,5,7,6,1,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(7,3),(7,4)],8)
[4,8,2,1,6,3,7,5]=>([(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,7),(4,5),(4,6),(7,6)],8)
[3,8,6,5,2,7,1,4]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[3,8,5,6,1,7,4,2]=>([(0,4),(0,6),(0,7),(1,2),(1,5),(1,7),(3,6),(5,3)],8)
[3,5,7,8,1,2,6,4]=>([(0,5),(0,7),(1,3),(3,6),(3,7),(4,2),(5,4),(5,6)],8)
[3,7,8,5,2,1,6,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(3,7),(4,5)],8)
[3,7,2,8,4,1,6,5]=>([(0,3),(0,7),(1,4),(1,5),(2,6),(2,7),(3,6),(7,4),(7,5)],8)
[2,8,1,7,4,6,5,3]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(7,2),(7,3)],8)
[2,8,7,5,1,6,4,3]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(4,5)],8)
[2,8,6,7,5,1,4,3]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(5,2)],8)
[5,1,3,4,6,7,2,8]=>([(0,7),(1,4),(1,5),(2,7),(3,6),(4,6),(5,2),(7,3)],8)
[1,3,4,8,7,5,2,6]=>([(0,4),(0,5),(3,7),(4,7),(5,6),(6,1),(6,2),(6,3)],8)
[8,2,4,1,7,3,5,6]=>([(1,5),(1,6),(2,4),(2,5),(4,6),(4,7),(5,7),(7,3)],8)
[8,6,1,4,2,3,7,5]=>([(1,7),(2,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,1,4,2,8,7,5]=>([(0,2),(0,4),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,6,8,4,3,7,2,5]=>([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,1),(5,7)],8)
[3,1,4,7,8,5,2,6]=>([(0,7),(1,4),(1,7),(3,6),(4,6),(5,2),(7,3),(7,5)],8)
[6,1,7,4,3,8,2,5]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[1,8,7,4,3,6,2,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,1,3,8,2,6,5]=>([(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,8,2,3,1,5,7,6]=>([(0,7),(1,6),(2,5),(2,7),(6,7),(7,3),(7,4)],8)
[4,8,6,2,1,3,7,5]=>([(0,5),(1,5),(2,3),(2,4),(2,6),(4,7),(5,6),(5,7)],8)
[2,7,4,1,8,3,5,6]=>([(0,5),(0,7),(1,3),(1,4),(1,5),(3,7),(4,6),(4,7),(5,6),(6,2)],8)
[1,7,8,4,2,3,6,5]=>([(0,3),(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,1),(5,2)],8)
[4,7,1,3,8,2,6,5]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5)],8)
[8,7,1,3,4,2,6,5]=>([(2,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,4,3,6,2,8,5]=>([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7)],8)
[3,8,6,4,5,2,1,7]=>([(0,7),(1,7),(2,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)
[3,8,4,6,5,2,1,7]=>([(0,7),(1,7),(2,3),(2,6),(4,7),(5,7),(6,4),(6,5)],8)
[2,4,3,7,5,8,1,6]=>([(0,2),(0,3),(1,5),(2,6),(2,7),(3,6),(3,7),(6,4),(7,4),(7,5)],8)
[1,4,7,3,6,2,8,5]=>([(0,2),(0,3),(0,4),(1,7),(2,6),(2,7),(3,5),(3,6),(4,1),(4,5),(4,6),(5,7)],8)
[1,8,3,4,2,6,7,5]=>([(0,3),(0,4),(0,5),(2,6),(2,7),(4,6),(4,7),(5,2),(7,1)],8)
[6,4,1,3,7,2,8,5]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(4,7),(6,5)],8)
[8,1,4,3,6,2,7,5]=>([(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[4,2,3,8,5,7,1,6]=>([(0,5),(1,6),(1,7),(2,4),(4,6),(4,7),(7,3),(7,5)],8)
[2,8,5,7,3,4,1,6]=>([(0,7),(1,3),(1,5),(1,6),(4,7),(5,4),(6,2),(6,7)],8)
[5,8,2,6,4,3,1,7]=>([(0,7),(1,3),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[7,2,5,8,4,3,1,6]=>([(0,7),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(5,7)],8)
[4,2,3,5,8,7,1,6]=>([(0,7),(1,6),(2,3),(3,7),(7,4),(7,5),(7,6)],8)
[8,2,3,5,4,7,1,6]=>([(1,3),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,8,3,4,2,7,5]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(2,5),(2,7),(3,5),(3,7),(4,2)],8)
[1,8,6,4,2,3,7,5]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(3,7),(4,6),(4,7),(5,1)],8)
[3,8,4,5,6,2,1,7]=>([(0,7),(1,7),(2,3),(2,6),(4,7),(5,4),(6,5)],8)
[2,4,3,5,7,8,1,6]=>([(0,7),(1,3),(1,4),(3,6),(4,6),(5,2),(6,5),(6,7)],8)
[3,8,6,5,4,2,1,7]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[6,3,1,4,2,8,7,5]=>([(0,6),(0,7),(1,4),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,3,8,1,2,6,4,5]=>([(0,5),(1,5),(1,6),(1,7),(2,4),(4,6),(4,7),(7,3)],8)
[7,1,4,5,3,2,6,8]=>([(0,6),(1,3),(1,4),(1,5),(2,7),(3,7),(4,7),(5,2),(7,6)],8)
[1,8,4,2,6,5,3,7]=>([(0,2),(0,3),(0,4),(1,7),(3,5),(3,6),(4,1),(4,5),(4,6),(5,7),(6,7)],8)
[5,1,4,8,6,3,2,7]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,7),(3,7),(4,5),(4,6),(6,7)],8)
[5,3,1,8,4,7,2,6]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(4,7)],8)
[4,3,8,1,5,7,2,6]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,7),(3,6),(7,4),(7,6)],8)
[6,3,1,2,5,7,4,8]=>([(0,3),(1,5),(2,6),(2,7),(3,6),(3,7),(5,4),(6,5),(7,4)],8)
[7,1,4,2,6,5,3,8]=>([(0,7),(1,3),(1,4),(2,7),(3,5),(3,6),(4,2),(4,5),(4,6),(5,7),(6,7)],8)
[3,8,4,1,6,5,2,7]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[7,3,6,4,5,8,2,1]=>([(2,7),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,2,4,5,1,6,3]=>([(2,6),(2,7),(3,4),(3,6),(4,5),(5,7)],8)
[7,1,5,4,8,6,3,2]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,8,7,5,3,6,4]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2),(7,3)],8)
[5,8,3,7,4,1,6,2]=>([(0,4),(0,7),(1,5),(1,6),(2,3),(2,6),(2,7),(5,7)],8)
[5,7,1,4,8,6,3,2]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(4,6),(4,7),(5,6)],8)
[3,5,7,4,8,6,2,1]=>([(2,3),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
[5,3,7,4,8,6,2,1]=>([(2,5),(2,6),(3,4),(3,5),(4,6),(4,7),(5,7)],8)
[6,5,3,7,4,8,2,1]=>([(2,7),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[7,5,8,4,1,6,3,2]=>([(0,7),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7)],8)
[2,7,8,4,5,1,6,3]=>([(0,6),(0,7),(1,4),(1,5),(1,7),(3,6),(4,2),(5,3)],8)
[5,7,3,8,4,1,6,2]=>([(0,3),(0,7),(1,5),(1,7),(2,4),(2,6),(4,7),(5,6)],8)
[5,6,3,8,1,4,7,2]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6),(4,7),(5,7)],8)
[3,7,8,4,1,6,5,2]=>([(0,4),(0,6),(0,7),(1,3),(1,5),(3,6),(3,7),(5,2)],8)
[8,7,3,1,5,4,2,6]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[3,6,2,1,5,4,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(6,4),(6,5),(7,4),(7,5)],8)
[5,4,2,6,1,3,8,7]=>([(0,4),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(7,5),(7,6)],8)
[3,2,6,5,1,4,8,7]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,8,1,7,4,3,6]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,2,7,4,3,1,5]=>([(0,7),(1,3),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[6,8,2,3,7,5,1,4]=>([(0,7),(1,4),(2,3),(2,6),(4,5),(4,6),(4,7)],8)
[7,6,2,5,4,8,1,3]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[2,6,5,1,8,4,3,7]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,7),(5,7)],8)
[4,2,7,3,1,8,5,6]=>([(0,6),(0,7),(1,5),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(7,3)],8)
[4,2,3,7,1,5,8,6]=>([(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(6,5),(7,4),(7,5)],8)
[5,2,7,3,8,6,1,4]=>([(0,6),(1,3),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(7,4)],8)
[2,1,5,8,4,3,7,6]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,6),(5,7)],8)
[5,8,4,2,6,7,1,3]=>([(0,7),(1,6),(2,6),(2,7),(3,4),(3,7),(7,5)],8)
[3,2,4,8,1,5,7,6]=>([(0,7),(1,6),(2,6),(6,5),(6,7),(7,3),(7,4)],8)
[2,4,8,3,1,7,5,6]=>([(0,6),(0,7),(1,4),(1,5),(4,6),(4,7),(5,3),(5,6),(5,7),(7,2)],8)
[4,8,3,2,1,7,6,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[4,1,3,7,2,6,8,5]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4),(7,4)],8)
[3,4,8,2,1,6,5,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,4),(3,6),(3,7),(6,5),(7,5)],8)
[6,8,3,7,2,1,5,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5)],8)
[3,5,8,1,7,2,6,4]=>([(0,3),(0,7),(1,4),(1,6),(3,5),(3,6),(4,2),(4,5),(4,7)],8)
[5,1,7,4,6,8,3,2]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(4,6),(6,5),(7,5)],8)
[7,6,4,8,1,5,3,2]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6)],8)
[5,3,7,1,8,2,6,4]=>([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(3,6),(3,7),(4,5)],8)
[2,7,6,3,8,1,4,5]=>([(0,6),(1,2),(1,3),(1,4),(2,7),(3,7),(4,6),(4,7),(6,5)],8)
[2,1,7,6,4,8,3,5]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,2),(6,2),(6,7)],8)
[2,1,5,4,8,7,3,6]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,7),(5,2),(5,3),(5,7),(6,2),(6,3),(6,7)],8)
[5,4,8,7,2,6,1,3]=>([(0,4),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7)],8)
[2,4,3,8,7,1,5,6]=>([(0,7),(1,3),(1,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,2)],8)
[3,4,1,8,6,2,7,5]=>([(0,3),(1,2),(1,4),(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(7,5)],8)
[3,8,5,4,2,1,7,6]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,6,5,2,7,1,3]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(4,7),(5,7)],8)
[3,2,8,7,5,4,1,6]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(5,7),(6,7)],8)
[2,8,6,5,4,3,1,7]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,7)],8)
[5,4,2,6,3,1,8,7]=>([(0,5),(1,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,6,5,2,8,4,1]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[7,6,2,3,4,8,5,1]=>([(1,4),(2,7),(3,7),(4,6),(6,5),(6,7)],8)
[8,7,5,3,1,4,2,6]=>([(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,1,5,3,8,4,6,2]=>([(0,7),(1,2),(1,4),(1,5),(3,6),(4,6),(4,7),(5,3),(5,7)],8)
[3,7,6,4,2,8,5,1]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(5,7)],8)
[2,1,8,7,4,3,5,6]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(3,2),(6,3),(7,3)],8)
[3,8,7,4,2,1,5,6]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(5,7),(7,6)],8)
[8,5,2,6,1,7,3,4]=>([(1,6),(1,7),(2,5),(3,5),(3,7),(5,6),(7,4)],8)
[5,4,2,6,8,3,7,1]=>([(1,7),(2,7),(3,5),(3,7),(5,6),(7,4),(7,6)],8)
[6,5,2,8,1,4,3,7]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[2,7,8,4,5,1,3,6]=>([(0,7),(1,4),(1,5),(1,7),(3,6),(4,2),(5,3),(7,6)],8)
[3,4,8,1,5,2,7,6]=>([(0,3),(0,7),(1,4),(3,5),(3,6),(4,2),(4,7),(7,5),(7,6)],8)
[4,8,1,2,5,3,6,7]=>([(0,5),(1,4),(1,6),(3,7),(5,3),(5,6),(6,7),(7,2)],8)
[8,1,2,4,3,5,6,7]=>([(1,6),(3,7),(4,7),(5,2),(6,3),(6,4),(7,5)],8)
[5,8,7,4,6,3,2,1]=>([(3,7),(4,5),(4,6),(4,7)],8)
[4,8,7,6,3,5,2,1]=>([(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[3,8,7,6,5,2,4,1]=>([(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[5,8,4,7,6,3,2,1]=>([(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,8,5,4,7,3,2,1]=>([(3,7),(4,7),(5,6),(5,7)],8)
[3,8,7,6,2,5,4,1]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[4,8,7,6,3,2,5,1]=>([(1,7),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[3,8,7,6,5,2,1,4]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[7,5,8,4,6,3,1,2]=>([(1,7),(2,6),(3,6),(3,7),(4,5)],8)
[7,6,8,2,5,1,4,3]=>([(0,5),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)
[3,5,2,4,7,6,1,8]=>([(0,4),(1,7),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[3,5,4,7,2,6,1,8]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[3,5,4,7,6,1,2,8]=>([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[3,5,4,7,6,1,8,2]=>([(0,4),(0,7),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7)],8)
[3,5,7,4,6,1,8,2]=>([(0,4),(0,7),(1,3),(1,5),(2,7),(3,6),(5,2),(5,6),(6,7)],8)
[3,5,7,4,6,1,2,8]=>([(0,4),(1,3),(1,5),(2,7),(3,6),(4,7),(5,2),(5,6),(6,7)],8)
[3,5,7,4,6,2,1,8]=>([(0,7),(1,7),(2,3),(2,4),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[3,2,5,7,4,6,1,8]=>([(0,7),(1,4),(1,6),(2,4),(2,6),(3,7),(4,5),(5,7),(6,3),(6,5)],8)
[3,5,2,7,6,4,1,8]=>([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[3,5,7,2,6,4,1,8]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[5,3,7,6,2,4,1,8]=>([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,3,7,6,1,2,8,4]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(3,6),(3,7),(4,7),(5,7)],8)
[5,3,7,6,1,4,2,8]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[5,3,7,6,4,1,2,8]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[3,5,7,2,6,1,4,8]=>([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[3,5,2,7,6,1,4,8]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[5,3,7,6,4,1,8,2]=>([(0,5),(0,6),(1,3),(1,7),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[3,7,5,4,1,8,2,6]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6)],8)
[3,7,5,4,1,8,6,2]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,7),(3,6),(3,7),(4,6),(4,7)],8)
[3,7,5,1,4,8,6,2]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,7),(3,5),(3,7),(6,5),(6,7)],8)
[3,7,5,1,4,8,2,6]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(3,7),(4,7),(5,6),(5,7)],8)
[3,5,7,1,2,6,8,4]=>([(0,3),(1,4),(1,7),(2,6),(3,5),(3,7),(4,2),(4,5),(5,6)],8)
[3,5,7,2,1,6,8,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(3,4),(3,7),(4,5),(7,5)],8)
[3,5,2,7,1,6,4,8]=>([(0,5),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(3,4),(3,7),(4,6),(5,6),(7,6)],8)
[3,5,7,2,1,6,4,8]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,5),(3,4),(3,7),(4,6),(5,6),(7,6)],8)
[5,3,7,1,6,2,4,8]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,5),(4,7),(5,7),(6,7)],8)
[3,5,7,1,4,6,8,2]=>([(0,3),(0,7),(1,4),(1,7),(2,6),(4,2),(4,5),(5,6),(7,5)],8)
[3,5,7,1,4,6,2,8]=>([(0,3),(0,6),(1,4),(1,6),(2,7),(3,7),(4,2),(4,5),(5,7),(6,5)],8)
[3,5,7,1,4,2,6,8]=>([(0,3),(0,6),(1,4),(1,6),(2,5),(3,7),(4,2),(4,7),(6,7),(7,5)],8)
[3,5,7,2,1,4,6,8]=>([(0,7),(1,7),(2,3),(2,7),(3,4),(3,6),(4,5),(6,5),(7,6)],8)
[3,5,2,7,1,4,6,8]=>([(0,7),(1,5),(1,7),(2,3),(2,7),(3,5),(3,6),(5,4),(6,4),(7,6)],8)
[3,2,5,7,4,1,6,8]=>([(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(4,7),(5,3),(5,7),(7,6)],8)
[3,5,2,7,4,1,6,8]=>([(0,7),(1,4),(1,6),(2,3),(2,4),(3,6),(3,7),(4,7),(6,5),(7,5)],8)
[3,5,7,4,2,1,6,8]=>([(0,7),(1,7),(2,3),(2,4),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[3,5,7,4,1,2,6,8]=>([(0,4),(1,2),(1,5),(2,7),(3,6),(4,7),(5,3),(5,7),(7,6)],8)
[3,5,4,7,1,6,8,2]=>([(0,4),(0,7),(1,2),(1,3),(2,5),(2,7),(3,5),(3,7),(5,6),(7,6)],8)
[3,5,4,7,1,2,6,8]=>([(0,4),(1,2),(1,3),(2,5),(2,7),(3,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,5,4,7,2,1,6,8]=>([(0,7),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[3,5,4,2,7,1,6,8]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[3,2,5,4,7,1,6,8]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(5,7),(6,4),(6,7),(7,3)],8)
[3,5,4,7,2,1,8,6]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[3,5,4,7,1,2,8,6]=>([(0,4),(1,2),(1,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
[5,7,6,3,1,8,4,2]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(4,7),(5,7)],8)
[5,7,6,3,1,8,2,4]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(3,7),(4,7),(5,6)],8)
[3,5,7,4,1,2,8,6]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,2),(5,7)],8)
[3,5,7,4,2,1,8,6]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
[3,2,5,7,4,1,8,6]=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,7),(4,6),(4,7),(5,3),(5,6)],8)
[3,2,5,7,1,4,8,6]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(3,6),(5,3),(5,4),(7,4),(7,6)],8)
[3,5,2,7,1,4,8,6]=>([(0,7),(1,5),(1,7),(2,3),(2,7),(3,5),(3,6),(5,4),(7,4),(7,6)],8)
[3,5,7,2,1,4,8,6]=>([(0,7),(1,7),(2,3),(2,7),(3,4),(3,6),(4,5),(7,5),(7,6)],8)
[3,5,7,1,4,2,8,6]=>([(0,3),(0,5),(1,4),(1,5),(2,6),(3,6),(3,7),(4,2),(4,7),(5,6),(5,7)],8)
[3,7,5,2,1,8,6,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7)],8)
[3,7,2,5,1,8,6,4]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(4,7)],8)
[3,2,7,5,1,8,6,4]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(4,7)],8)
[3,2,7,5,1,8,4,6]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(4,7),(6,5)],8)
[3,7,2,5,1,8,4,6]=>([(0,6),(0,7),(1,4),(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(4,7),(6,5)],8)
[3,7,5,2,1,8,4,6]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(3,7),(4,5),(4,7),(6,5)],8)
[2,1,7,5,8,4,6,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(5,3),(6,2),(7,2),(7,3)],8)
[5,8,3,4,1,7,6,2]=>([(0,5),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(5,6),(5,7)],8)
[5,8,7,2,4,1,6,3]=>([(0,6),(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(5,7)],8)
[3,8,6,4,1,7,5,2]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(3,7),(4,6),(4,7)],8)
[4,3,5,6,8,1,7,2]=>([(0,6),(1,6),(2,3),(2,7),(4,5),(4,7),(6,4)],8)
[3,7,6,4,1,8,5,2]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,7),(3,7),(4,6),(4,7)],8)
[3,7,4,1,8,6,5,2]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(2,7),(3,5),(3,6),(3,7)],8)
[3,8,4,1,7,6,5,2]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(3,5),(3,6),(3,7)],8)
[3,2,7,6,1,5,4,8]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[3,2,8,7,6,1,5,4]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[5,7,8,2,4,1,6,3]=>([(0,6),(0,7),(1,3),(1,7),(2,4),(2,6),(3,5),(4,7)],8)
[4,2,5,8,1,6,7,3]=>([(0,5),(0,7),(1,6),(2,5),(2,6),(6,3),(6,7),(7,4)],8)
[4,2,5,8,1,7,3,6]=>([(0,7),(1,5),(1,6),(2,6),(2,7),(6,4),(7,3),(7,4),(7,5)],8)
[5,8,2,4,1,6,3,7]=>([(0,5),(0,7),(1,3),(1,7),(2,4),(2,5),(4,7),(5,6),(7,6)],8)
[8,4,2,6,5,1,3,7]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[3,2,6,8,1,5,4,7]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,3),(4,7),(5,7),(6,7)],8)
[8,3,2,5,6,1,4,7]=>([(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,4),(7,6)],8)
[3,2,8,6,7,1,5,4]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(5,3)],8)
[3,2,6,8,7,1,5,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(5,3),(5,4)],8)
[3,2,6,7,1,5,4,8]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,3),(5,7),(6,7)],8)
[8,7,3,2,5,6,1,4]=>([(2,7),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[7,2,8,1,5,3,6,4]=>([(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,4),(7,3),(7,4)],8)
[8,4,2,7,5,1,3,6]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[7,4,2,8,5,1,3,6]=>([(0,7),(1,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
[7,2,4,1,8,3,6,5]=>([(0,7),(1,4),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6)],8)
[3,2,8,5,7,1,4,6]=>([(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(6,3),(6,5),(7,5)],8)
[2,6,5,7,1,8,3,4]=>([(0,6),(0,7),(1,3),(1,4),(1,7),(3,5),(4,5),(5,6),(7,2)],8)
[2,5,1,8,7,4,3,6]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,7),(5,7),(6,7)],8)
[8,1,4,6,3,5,2,7]=>([(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(5,2),(5,6),(6,7)],8)
[8,3,5,4,1,6,2,7]=>([(1,5),(1,7),(2,3),(2,4),(3,7),(4,7),(5,6),(7,6)],8)
[8,6,3,4,1,5,2,7]=>([(1,7),(2,5),(3,4),(3,6),(4,7),(5,6),(6,7)],8)
[5,4,7,6,8,2,3,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(5,7),(6,7)],8)
[4,1,8,2,3,7,6,5]=>([(0,2),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(3,4),(3,5),(3,6)],8)
[2,1,8,5,3,4,7,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(6,2),(7,3),(7,4)],8)
[5,2,4,6,8,7,3,1]=>([(1,7),(2,3),(2,4),(4,7),(7,5),(7,6)],8)
[1,6,8,3,4,5,7,2]=>([(0,3),(0,5),(0,6),(2,7),(4,2),(5,4),(6,1),(6,7)],8)
[5,7,4,8,6,1,3,2]=>([(0,6),(0,7),(1,5),(1,6),(2,3),(2,4),(5,7)],8)
[5,4,2,6,7,8,1,3]=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(7,4)],8)
[6,4,2,7,3,5,8,1]=>([(1,7),(2,6),(2,7),(3,4),(3,7),(4,6),(6,5),(7,5)],8)
[7,4,1,8,3,5,6,2]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(4,6),(6,5)],8)
[6,5,4,8,7,3,1,2]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5)],8)
[8,7,4,2,1,3,6,5]=>([(2,5),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,1,3,2,5,6,4]=>([(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[6,8,2,3,1,7,5,4]=>([(0,5),(0,6),(0,7),(1,4),(2,3),(2,7),(4,5),(4,6),(4,7)],8)
[7,4,3,2,6,8,5,1]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(7,5)],8)
[2,7,4,3,8,5,6,1]=>([(1,2),(1,3),(1,4),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[8,3,7,2,1,5,6,4]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[5,7,8,2,4,3,1,6]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(4,7),(5,7),(6,3)],8)
[8,4,7,3,2,6,1,5]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,3,1,6,7,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3)],8)
[3,2,5,7,4,8,1,6]=>([(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(4,7),(5,3),(5,7)],8)
[8,2,7,3,4,1,5,6]=>([(1,7),(2,3),(2,6),(4,7),(6,4),(7,5)],8)
[7,1,6,3,5,8,2,4]=>([(0,7),(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(5,2),(5,6)],8)
[2,8,5,6,7,1,4,3]=>([(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(4,2),(5,4)],8)
[1,5,2,7,8,6,4,3]=>([(0,4),(0,5),(4,6),(4,7),(5,2),(5,3),(5,6),(5,7),(7,1)],8)
[2,6,8,5,1,4,7,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,2),(4,7),(6,7)],8)
[1,4,2,8,6,5,7,3]=>([(0,2),(0,3),(2,5),(2,6),(2,7),(3,1),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[3,5,1,6,8,7,2,4]=>([(0,5),(0,7),(1,4),(1,6),(4,7),(5,6),(7,2),(7,3)],8)
[5,7,6,2,1,3,8,4]=>([(0,6),(1,6),(2,3),(2,4),(3,7),(4,7),(6,5),(6,7)],8)
[2,5,8,7,4,1,6,3]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(4,7),(5,2),(5,3),(5,7)],8)
[4,1,7,5,2,6,8,3]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(3,2),(3,5),(5,4),(6,5),(7,4)],8)
[7,6,2,4,5,1,8,3]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(5,7)],8)
[7,3,4,2,5,8,6,1]=>([(1,7),(2,6),(3,4),(4,7),(7,5),(7,6)],8)
[8,7,4,2,5,1,6,3]=>([(2,6),(3,5),(3,7),(4,5),(4,6),(6,7)],8)
[8,1,4,5,2,6,7,3]=>([(1,5),(1,6),(3,7),(5,3),(6,2),(6,7),(7,4)],8)
[5,2,4,8,6,7,1,3]=>([(0,5),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(7,3)],8)
[8,5,6,2,1,3,7,4]=>([(1,6),(2,6),(3,4),(4,7),(6,5),(6,7)],8)
[4,2,1,5,6,7,8,3]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(5,4),(7,3)],8)
[3,4,6,5,1,7,8,2]=>([(0,6),(1,5),(1,7),(2,7),(3,7),(6,2),(6,3),(7,4)],8)
[7,3,5,2,4,6,1,8]=>([(0,7),(1,7),(2,5),(3,4),(3,5),(4,6),(5,6),(6,7)],8)
[5,3,7,2,4,6,1,8]=>([(0,7),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,7,5,2,4,6,1,8]=>([(0,7),(1,5),(2,3),(2,4),(2,5),(3,6),(4,7),(5,6),(6,7)],8)
[5,7,3,2,4,6,1,8]=>([(0,7),(1,5),(2,5),(3,4),(3,6),(4,7),(5,6),(6,7)],8)
[1,5,3,2,4,7,6,8]=>([(0,1),(0,2),(0,3),(1,7),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)
[1,5,3,2,7,4,6,8]=>([(0,1),(0,2),(0,3),(1,4),(1,7),(2,4),(2,7),(3,6),(3,7),(4,6),(6,5),(7,5)],8)
[5,7,3,2,1,4,6,8]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(4,6),(5,6),(7,5)],8)
[5,7,3,2,4,1,6,8]=>([(0,7),(1,5),(2,5),(3,4),(3,7),(4,6),(5,7),(7,6)],8)
[3,7,2,5,4,1,6,8]=>([(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,7),(5,7),(7,6)],8)
[5,1,3,2,4,7,6,8]=>([(0,2),(0,3),(1,5),(1,6),(2,7),(3,7),(5,4),(6,4),(7,5),(7,6)],8)
[5,1,3,2,7,4,6,8]=>([(0,2),(0,3),(1,5),(1,7),(2,6),(2,7),(3,6),(3,7),(5,4),(6,5),(7,4)],8)
[7,1,3,2,5,4,6,8]=>([(0,2),(0,3),(1,4),(2,6),(2,7),(3,6),(3,7),(5,4),(6,5),(7,5)],8)
[1,7,3,2,5,4,6,8]=>([(0,1),(0,2),(0,3),(1,4),(2,6),(2,7),(3,6),(3,7),(5,4),(6,5),(7,5)],8)
[7,1,3,5,2,4,6,8]=>([(0,7),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,7)],8)
[5,1,3,7,2,4,6,8]=>([(0,2),(0,3),(1,5),(1,6),(2,7),(3,6),(3,7),(5,4),(6,4),(7,5)],8)
[3,2,7,5,1,4,6,8]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(4,3),(5,4),(6,3),(7,4)],8)
[3,7,5,1,2,4,6,8]=>([(0,4),(1,2),(1,3),(1,5),(2,6),(3,7),(4,5),(5,7),(7,6)],8)
[5,7,3,1,2,4,6,8]=>([(0,6),(1,3),(2,4),(2,5),(3,6),(4,7),(5,7),(6,5)],8)
[1,5,3,7,2,4,6,8]=>([(0,1),(0,2),(0,3),(1,6),(2,5),(2,7),(3,6),(3,7),(5,4),(6,5),(7,4)],8)
[5,3,2,7,4,1,6,8]=>([(0,7),(1,6),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(6,5),(7,5)],8)
[5,3,2,4,7,1,6,8]=>([(0,4),(1,4),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[5,3,2,1,4,7,6,8]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(4,6),(5,6),(7,4),(7,5)],8)
[5,3,2,1,7,4,6,8]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(6,4),(7,5)],8)
[1,3,2,7,5,4,6,8]=>([(0,1),(0,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(4,3),(5,4),(6,4),(7,3)],8)
[1,3,7,2,5,4,6,8]=>([(0,2),(0,3),(1,4),(2,6),(2,7),(3,1),(3,6),(3,7),(5,4),(6,5),(7,5)],8)
[7,3,1,2,5,4,6,8]=>([(0,3),(1,4),(2,6),(2,7),(3,6),(3,7),(5,4),(6,5),(7,5)],8)
[5,3,1,2,7,4,6,8]=>([(0,6),(0,7),(1,4),(1,7),(2,3),(3,6),(3,7),(4,5),(6,4),(7,5)],8)
[5,3,1,2,4,7,6,8]=>([(0,3),(1,7),(2,5),(2,6),(3,7),(5,4),(6,4),(7,5),(7,6)],8)
[3,2,5,1,4,7,6,8]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)
[7,3,1,5,2,4,6,8]=>([(0,4),(1,3),(1,7),(2,6),(2,7),(3,6),(5,4),(6,5),(7,5)],8)
[1,3,7,5,2,4,6,8]=>([(0,3),(0,4),(1,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(7,6)],8)
[7,5,1,3,2,4,6,8]=>([(0,6),(1,5),(2,3),(2,4),(3,7),(4,7),(5,6),(7,5)],8)
[5,7,1,3,2,4,6,8]=>([(0,4),(0,7),(1,2),(1,3),(2,5),(3,5),(4,6),(5,7),(7,6)],8)
[3,7,1,5,2,4,6,8]=>([(0,3),(0,7),(1,2),(1,6),(1,7),(2,4),(3,6),(5,4),(6,5),(7,5)],8)
[3,7,1,2,5,4,6,8]=>([(0,3),(1,2),(1,6),(1,7),(2,4),(3,6),(3,7),(5,4),(6,5),(7,5)],8)
[3,7,2,1,5,4,6,8]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(4,5),(6,4),(7,4)],8)
[3,2,1,7,5,4,6,8]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(5,4),(6,3),(7,3)],8)
[3,1,2,7,5,4,6,8]=>([(0,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(4,3),(5,4),(6,4),(7,3)],8)
[3,1,7,2,5,4,6,8]=>([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(4,3),(5,4),(6,4),(7,3)],8)
[3,1,7,5,2,4,6,8]=>([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(4,3),(5,4),(6,4),(7,3)],8)
[7,1,5,3,2,4,6,8]=>([(0,7),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6),(6,7)],8)
[1,7,5,3,2,4,6,8]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)
[1,8,7,4,2,6,5,3]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(4,7),(5,1),(5,6),(5,7)],8)
[2,8,5,1,7,6,4,3]=>([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(3,4),(3,5)],8)
[6,8,5,1,2,7,4,3]=>([(0,7),(1,6),(2,5),(2,7),(6,3),(6,4),(6,7)],8)
[2,8,1,4,7,6,5,3]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(7,2),(7,3),(7,4)],8)
[1,8,7,4,3,2,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,5,4,2,7,6,3]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(3,7),(4,6),(4,7),(5,1),(5,6),(5,7)],8)
[7,5,3,4,2,8,1,6]=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[8,5,3,6,2,4,7,1]=>([(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
[8,5,6,3,7,4,2,1]=>([(3,6),(4,5),(4,7),(6,7)],8)
[8,5,6,2,7,4,3,1]=>([(2,6),(3,4),(3,5),(3,7),(6,7)],8)
[8,7,6,3,4,1,5,2]=>([(3,6),(4,5),(4,7),(6,7)],8)
[1,7,2,3,6,8,5,4]=>([(0,4),(0,5),(3,7),(4,7),(5,6),(6,1),(6,2),(6,3)],8)
[3,5,6,4,8,2,7,1]=>([(1,7),(2,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,1,4,8,2,7,6]=>([(0,2),(0,4),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,7,5,4,8,2,6,3]=>([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,1),(5,7)],8)
[3,7,5,1,6,4,8,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,7),(3,5),(5,7),(6,7)],8)
[2,7,5,4,8,1,3,6]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[2,7,5,4,8,6,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7)],8)
[1,7,5,4,8,6,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,1,4,8,7,3,6]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,7),(5,7),(6,3),(6,4),(6,7)],8)
[3,6,4,2,8,7,1,5]=>([(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,5,2,4,8,1,6,7]=>([(0,7),(1,5),(2,3),(2,5),(3,6),(3,7),(5,6),(5,7),(7,4)],8)
[3,5,6,4,8,1,2,7]=>([(0,4),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(4,7),(5,2)],8)
[1,5,6,4,8,7,2,3]=>([(0,3),(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,1),(5,2)],8)
[3,6,4,1,8,7,2,5]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5)],8)
[3,6,4,5,8,7,2,1]=>([(2,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,4,3,8,5,2,7]=>([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7)],8)
[7,1,3,4,5,8,2,6]=>([(0,7),(1,3),(1,5),(2,6),(2,7),(3,6),(4,2),(5,4)],8)
[7,6,1,4,5,3,8,2]=>([(0,7),(1,7),(2,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)
[7,6,1,3,5,4,8,2]=>([(0,7),(1,7),(2,3),(2,6),(4,7),(5,7),(6,4),(6,5)],8)
[7,1,3,2,5,8,4,6]=>([(0,2),(0,3),(1,5),(2,6),(2,7),(3,6),(3,7),(6,4),(7,4),(7,5)],8)
[1,6,4,2,8,5,3,7]=>([(0,2),(0,3),(0,4),(1,7),(2,6),(2,7),(3,5),(3,6),(4,1),(4,5),(4,6),(5,7)],8)
[7,6,5,8,2,4,3,1]=>([(1,7),(2,7),(3,7),(4,5),(4,6)],8)
[7,6,5,8,3,1,4,2]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6)],8)
[2,6,4,3,8,1,7,5]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[2,6,4,3,8,5,7,1]=>([(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[7,2,3,1,5,8,6,4]=>([(0,5),(1,6),(1,7),(2,4),(4,6),(4,7),(7,3),(7,5)],8)
[7,1,5,6,3,8,4,2]=>([(0,7),(1,3),(1,5),(1,6),(4,7),(5,4),(6,2),(6,7)],8)
[7,3,6,5,1,4,8,2]=>([(0,7),(1,3),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[7,2,6,5,3,8,1,4]=>([(0,7),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(5,7)],8)
[7,2,3,1,4,8,6,5]=>([(0,7),(1,6),(2,3),(3,7),(7,4),(7,5),(7,6)],8)
[7,2,3,5,4,8,6,1]=>([(1,3),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,4,5,8,1,7,3]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(2,5),(2,7),(3,5),(3,7),(4,2)],8)
[1,5,6,4,8,3,7,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(3,7),(4,6),(4,7),(5,1)],8)
[2,5,6,4,8,3,1,7]=>([(0,7),(1,2),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,3)],8)
[3,5,6,1,4,7,8,2]=>([(0,4),(0,6),(1,5),(1,6),(3,7),(5,3),(6,7),(7,2)],8)
[7,6,1,3,4,5,8,2]=>([(0,7),(1,7),(2,3),(2,6),(4,7),(5,4),(6,5)],8)
[7,1,3,2,4,8,5,6]=>([(0,7),(1,3),(1,4),(3,6),(4,6),(5,2),(6,5),(6,7)],8)
[7,6,1,5,3,4,8,2]=>([(0,7),(1,7),(2,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)
[7,6,1,5,4,3,8,2]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[1,6,4,5,8,3,2,7]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(2,7),(3,7),(4,6),(4,7),(5,1)],8)
[7,6,5,8,1,3,2,4]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(4,6),(5,6)],8)
[3,4,6,8,7,2,1,5]=>([(0,7),(1,7),(2,5),(5,6),(5,7),(6,3),(6,4)],8)
[3,5,6,8,2,1,7,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(3,5),(5,4),(5,7)],8)
[4,2,1,5,3,7,8,6]=>([(0,7),(1,4),(1,7),(2,4),(2,7),(4,5),(4,6),(6,3),(7,5),(7,6)],8)
[4,2,5,6,3,1,8,7]=>([(0,6),(0,7),(1,5),(2,3),(2,5),(3,6),(3,7),(4,6),(4,7),(5,4)],8)
[3,5,6,8,1,7,2,4]=>([(0,5),(0,6),(1,3),(1,7),(3,6),(4,2),(4,7),(5,4)],8)
[4,1,5,6,3,2,8,7]=>([(0,5),(1,2),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,4)],8)
[4,5,3,1,7,2,8,6]=>([(0,6),(0,7),(1,3),(2,4),(2,6),(3,6),(3,7),(4,5),(4,7),(6,5)],8)
[4,1,3,5,2,7,8,6]=>([(0,6),(1,3),(1,4),(3,6),(4,5),(4,7),(6,5),(6,7),(7,2)],8)
[2,5,4,7,3,8,6,1]=>([(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[3,5,7,1,8,4,2,6]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,5),(3,7),(4,2),(4,7),(6,7)],8)
[4,1,5,3,2,7,8,6]=>([(0,5),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(7,2)],8)
[4,5,3,7,1,2,8,6]=>([(0,5),(0,7),(1,3),(2,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
[4,3,6,1,2,7,5,8]=>([(0,4),(0,7),(1,4),(1,7),(2,3),(3,6),(3,7),(4,6),(6,5),(7,5)],8)
[5,1,3,2,4,6,7,8]=>([(0,7),(1,3),(1,4),(3,6),(4,6),(5,2),(6,7),(7,5)],8)
[3,6,1,7,4,5,2,8]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,7),(3,7),(4,5),(5,7),(6,2)],8)
[5,1,3,4,2,6,7,8]=>([(0,7),(1,4),(1,5),(3,7),(4,7),(5,3),(6,2),(7,6)],8)
[5,3,1,4,2,6,7,8]=>([(0,7),(1,6),(2,3),(2,6),(3,7),(4,5),(6,7),(7,4)],8)
[4,5,2,3,7,1,8,6]=>([(0,5),(0,7),(1,4),(2,3),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[4,2,6,1,3,7,5,8]=>([(0,7),(1,5),(1,6),(2,6),(2,7),(4,3),(5,3),(6,4),(7,4),(7,5)],8)
[4,6,2,1,3,7,5,8]=>([(0,7),(1,7),(2,3),(2,6),(3,5),(5,4),(6,4),(7,5),(7,6)],8)
[3,6,2,1,7,4,8,5]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(3,7),(6,4),(6,5),(7,5)],8)
[3,1,4,7,6,5,2,8]=>([(0,6),(1,2),(1,6),(2,7),(3,7),(4,7),(5,7),(6,3),(6,4),(6,5)],8)
[3,6,2,7,1,5,8,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(5,4),(7,4)],8)
[4,6,2,7,1,3,5,8]=>([(0,7),(1,3),(1,6),(2,5),(2,7),(3,5),(5,4),(6,4),(7,6)],8)
[3,5,7,1,8,2,6,4]=>([(0,3),(0,6),(1,4),(1,7),(2,6),(3,5),(3,7),(4,2),(4,5)],8)
[5,1,4,2,3,6,7,8]=>([(0,7),(1,4),(1,5),(3,7),(4,7),(5,3),(6,2),(7,6)],8)
[3,6,1,7,2,5,8,4]=>([(0,3),(0,7),(1,2),(1,5),(1,6),(2,7),(3,5),(3,6),(6,4),(7,4)],8)
[2,6,5,3,4,7,8,1]=>([(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(6,2),(7,5)],8)
[3,6,1,7,5,4,2,8]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,7),(3,4),(4,7),(5,7),(6,7)],8)
[5,1,4,3,2,6,7,8]=>([(0,7),(1,3),(1,4),(1,5),(3,7),(4,7),(5,7),(6,2),(7,6)],8)
[5,4,1,3,2,6,7,8]=>([(0,7),(1,7),(2,4),(2,5),(4,7),(5,7),(6,3),(7,6)],8)
[6,2,4,5,1,8,3,7]=>([(0,6),(0,7),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6),(4,7),(5,7)],8)
[2,1,4,8,6,3,7,5]=>([(0,6),(0,7),(1,6),(1,7),(3,5),(6,2),(6,3),(6,4),(7,4),(7,5)],8)
[6,4,8,2,5,3,7,1]=>([(1,5),(1,7),(2,5),(2,6),(3,4),(3,6),(4,7),(6,7)],8)
[8,6,2,4,7,5,1,3]=>([(1,7),(2,6),(3,4),(3,6),(4,5),(4,7)],8)
[4,6,8,2,3,5,7,1]=>([(1,4),(2,3),(2,6),(3,5),(3,7),(4,6),(6,7)],8)
[2,6,8,1,4,5,7,3]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(3,5),(4,2),(4,5),(7,3)],8)
[8,4,2,6,7,3,1,5]=>([(1,7),(2,6),(2,7),(3,4),(3,6),(4,7),(6,5)],8)
[7,6,4,5,1,3,8,2]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(5,7),(6,7)],8)
[1,6,7,5,3,4,8,2]=>([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(4,7),(5,2),(6,1)],8)
[7,6,2,3,8,4,1,5]=>([(0,7),(1,7),(2,6),(3,4),(4,5),(4,7),(5,6)],8)
[1,6,7,5,8,2,3,4]=>([(0,3),(0,5),(0,6),(2,7),(3,7),(4,1),(5,2),(6,4)],8)
[6,2,5,8,3,4,7,1]=>([(1,6),(1,7),(2,3),(2,4),(3,5),(4,6),(4,7),(5,7)],8)
[6,2,3,8,7,4,1,5]=>([(0,5),(1,6),(1,7),(2,3),(3,4),(3,6),(3,7),(4,5)],8)
[2,4,7,3,5,8,6,1]=>([(1,3),(1,5),(3,7),(4,6),(5,4),(5,7),(7,2),(7,6)],8)
[2,5,3,7,1,8,4,6]=>([(0,2),(0,3),(1,4),(1,6),(2,5),(2,7),(3,6),(3,7),(6,5),(7,4)],8)
[5,2,8,3,1,4,6,7]=>([(0,7),(1,5),(1,6),(2,4),(2,5),(4,7),(6,3),(7,6)],8)
[4,8,2,3,6,5,7,1]=>([(1,4),(2,3),(2,6),(2,7),(4,6),(4,7),(6,5),(7,5)],8)
[5,8,1,3,6,4,7,2]=>([(0,4),(0,7),(1,2),(1,5),(3,6),(5,3),(5,7),(7,6)],8)
[5,8,1,4,3,6,2,7]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(2,7),(3,7),(4,6),(7,6)],8)
[5,8,4,1,3,7,6,2]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(5,6),(5,7)],8)
[6,4,5,3,8,1,7,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,7),(5,6),(5,7)],8)
[4,6,5,3,7,1,2,8]=>([(0,7),(1,5),(2,3),(2,4),(3,7),(4,7),(5,6),(7,6)],8)
[4,5,1,3,6,2,8,7]=>([(0,4),(1,2),(1,3),(2,5),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[4,2,6,5,1,7,3,8]=>([(0,6),(0,7),(1,3),(1,4),(2,3),(2,4),(2,6),(3,7),(4,7),(6,5),(7,5)],8)
[4,3,5,7,2,1,6,8]=>([(0,7),(1,7),(2,5),(3,5),(4,6),(5,4),(5,7),(7,6)],8)
[3,4,7,6,8,1,2,5]=>([(0,4),(1,5),(2,6),(3,6),(4,7),(5,2),(5,3),(5,7)],8)
[3,4,6,2,5,8,7,1]=>([(1,7),(2,3),(3,4),(3,7),(4,5),(4,6),(7,5),(7,6)],8)
[3,5,2,4,6,1,8,7]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(3,7),(6,7),(7,4),(7,5)],8)
[4,2,5,1,6,8,3,7]=>([(0,5),(1,5),(1,7),(2,6),(2,7),(5,6),(6,3),(6,4),(7,4)],8)
[1,8,2,3,6,5,7,4]=>([(0,4),(0,5),(2,7),(3,7),(5,6),(6,1),(6,2),(6,3)],8)
[4,2,8,3,5,7,1,6]=>([(0,6),(1,5),(1,7),(2,3),(2,5),(3,7),(7,4),(7,6)],8)
[4,3,8,6,5,7,1,2]=>([(0,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,4),(7,4)],8)
[1,3,7,2,6,5,8,4]=>([(0,2),(0,3),(1,7),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[1,3,6,4,2,5,8,7]=>([(0,3),(0,4),(1,5),(2,6),(2,7),(3,5),(4,1),(4,2),(5,6),(5,7)],8)
[1,5,4,7,3,6,8,2]=>([(0,1),(0,2),(0,3),(0,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[5,2,3,8,4,1,7,6]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(3,5),(4,6),(4,7)],8)
[7,5,3,4,8,2,1,6]=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[7,2,8,3,4,1,5,6]=>([(0,7),(1,6),(2,4),(2,6),(4,5),(5,7),(7,3)],8)
[7,4,3,8,5,2,6,1]=>([(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[4,6,2,7,3,1,5,8]=>([(0,7),(1,4),(1,6),(2,3),(2,7),(3,6),(4,7),(6,5),(7,5)],8)
[7,6,3,8,2,4,5,1]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(6,5)],8)
[7,2,8,5,1,3,4,6]=>([(0,6),(1,5),(2,4),(2,5),(2,6),(3,7),(4,7),(6,3)],8)
[1,5,3,7,6,8,4,2]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6),(5,7),(6,7)],8)
[1,6,3,7,8,2,4,5]=>([(0,3),(0,4),(0,5),(3,6),(4,7),(5,6),(5,7),(6,2),(7,1)],8)
[1,4,3,7,8,5,2,6]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(7,1)],8)
[4,2,6,5,7,8,3,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(5,7),(6,7),(7,3)],8)
[4,2,6,7,5,8,1,3]=>([(0,6),(1,4),(1,7),(2,4),(2,6),(2,7),(3,5),(4,3),(7,5)],8)
[3,2,4,7,8,5,1,6]=>([(0,7),(1,6),(2,6),(3,7),(4,5),(6,3),(6,4)],8)
[3,2,6,7,8,1,4,5]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(4,5),(6,4),(7,3)],8)
[5,1,8,3,6,4,7,2]=>([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(4,2),(4,6),(6,5)],8)
[3,8,5,6,1,7,2,4]=>([(0,4),(0,7),(1,3),(1,5),(1,6),(2,7),(4,6),(5,2)],8)
[3,4,8,1,7,6,2,5]=>([(0,4),(1,3),(1,6),(1,7),(3,5),(4,2),(4,5),(4,6),(4,7)],8)
[4,7,6,8,5,1,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,7),(4,7)],8)
[6,7,4,8,5,1,3,2]=>([(0,6),(1,5),(1,7),(2,3),(2,4),(6,7)],8)
[6,4,8,3,1,7,5,2]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)
[3,6,5,8,7,1,4,2]=>([(0,4),(0,7),(1,2),(1,3),(1,7),(2,5),(2,6),(3,5),(3,6)],8)
[5,7,4,8,2,6,3,1]=>([(1,6),(1,7),(2,4),(2,7),(3,5),(3,7),(5,6)],8)
[5,6,4,8,2,7,3,1]=>([(1,6),(1,7),(2,5),(3,4),(3,7),(5,6),(5,7)],8)
[5,6,8,3,1,7,4,2]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(2,7),(4,5),(4,7)],8)
[5,3,8,1,7,2,6,4]=>([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(3,5),(3,7)],8)
[6,5,3,8,2,7,4,1]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7)],8)
[6,4,8,1,3,7,5,2]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(4,6),(4,7)],8)
[7,6,3,1,4,2,5,8]=>([(0,7),(1,7),(2,5),(3,4),(3,5),(4,6),(5,6),(6,7)],8)
[1,5,4,3,7,8,2,6]=>([(0,2),(0,3),(0,4),(0,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,1)],8)
[7,8,4,2,5,3,1,6]=>([(0,7),(1,6),(2,4),(3,5),(3,6),(5,7),(6,7)],8)
[4,2,7,8,5,3,1,6]=>([(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3)],8)
[4,2,5,3,1,7,8,6]=>([(0,6),(0,7),(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[4,2,8,7,6,3,1,5]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,7)],8)
[4,2,7,6,3,1,5,8]=>([(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(5,6),(7,6)],8)
[6,3,1,7,5,2,4,8]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(4,7),(5,7),(6,7)],8)
[6,3,1,8,7,5,2,4]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5)],8)
[8,6,3,1,7,5,2,4]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6)],8)
[4,2,7,6,3,1,8,5]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(3,7),(4,7),(5,7)],8)
[7,6,3,1,8,4,2,5]=>([(0,7),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
[7,6,4,2,1,8,3,5]=>([(0,7),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[1,8,2,7,6,4,3,5]=>([(0,5),(0,6),(3,7),(4,7),(6,1),(6,2),(6,3),(6,4)],8)
[8,3,5,7,6,4,2,1]=>([(3,4),(3,5),(5,6),(5,7)],8)
[8,4,2,5,7,6,3,1]=>([(2,7),(3,4),(3,7),(7,5),(7,6)],8)
[7,5,2,4,8,6,3,1]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(5,6),(5,7)],8)
[8,7,5,2,4,6,3,1]=>([(3,7),(4,5),(4,6),(6,7)],8)
[7,5,2,4,6,3,1,8]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(4,7),(5,6),(6,7)],8)
[5,2,8,6,3,7,4,1]=>([(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,7),(6,7)],8)
[8,4,7,5,2,6,3,1]=>([(2,5),(2,7),(3,4),(3,6),(6,7)],8)
[8,3,6,4,7,5,2,1]=>([(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[1,8,2,7,5,3,6,4]=>([(0,4),(0,6),(3,7),(5,2),(5,7),(6,1),(6,3),(6,5)],8)
[7,5,2,1,8,3,6,4]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(6,4),(6,5)],8)
[7,5,2,6,3,1,8,4]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,7)],8)
[5,2,7,4,1,8,6,3]=>([(0,5),(0,6),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(5,7)],8)
[5,2,8,7,4,1,6,3]=>([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,7)],8)
[8,7,4,1,5,2,6,3]=>([(2,6),(3,4),(3,6),(4,5),(4,7),(6,7)],8)
[7,4,1,5,2,8,6,3]=>([(0,7),(1,5),(2,3),(2,5),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
[7,6,3,1,4,2,8,5]=>([(0,7),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,2,8,6,3,1,4]=>([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6)],8)
[8,7,5,2,6,3,1,4]=>([(2,7),(3,6),(4,5),(4,6),(5,7)],8)
[7,5,2,1,3,6,4,8]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(5,7),(6,4),(6,5)],8)
[8,7,5,2,1,3,6,4]=>([(2,7),(3,7),(4,6),(7,5),(7,6)],8)
[7,5,2,1,3,8,6,4]=>([(0,6),(1,6),(2,7),(3,5),(3,7),(6,4),(6,5),(6,7)],8)
[1,3,7,6,5,8,2,4]=>([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,3),(5,6)],8)
[8,6,4,7,5,2,1,3]=>([(1,6),(2,6),(3,7),(4,5),(4,7)],8)
[6,4,8,7,5,2,1,3]=>([(0,5),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)
[6,4,7,5,2,1,3,8]=>([(0,5),(1,5),(2,6),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[6,3,1,4,7,5,2,8]=>([(0,6),(1,5),(2,4),(2,6),(3,7),(4,7),(5,7),(6,3),(6,5)],8)
[6,3,1,4,8,7,5,2]=>([(0,7),(1,5),(1,6),(2,4),(2,7),(7,3),(7,5),(7,6)],8)
[8,6,3,1,4,7,5,2]=>([(1,7),(2,6),(3,5),(3,7),(7,4),(7,6)],8)
[8,5,7,6,3,1,4,2]=>([(1,7),(2,6),(2,7),(3,4),(3,5)],8)
[1,8,2,5,7,6,4,3]=>([(0,5),(0,7),(6,3),(6,4),(7,1),(7,2),(7,6)],8)
[1,8,2,6,4,7,5,3]=>([(0,4),(0,6),(3,7),(5,2),(5,7),(6,1),(6,3),(6,5)],8)
[7,5,2,1,6,4,8,3]=>([(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[6,3,8,7,4,1,5,2]=>([(0,5),(0,6),(1,3),(1,7),(2,4),(2,5),(2,6),(4,7)],8)
[6,3,7,4,1,5,2,8]=>([(0,5),(1,4),(1,6),(2,3),(2,5),(3,6),(4,7),(5,7),(6,7)],8)
[7,4,1,6,3,5,2,8]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,7),(5,7),(6,7)],8)
[7,4,1,8,6,3,5,2]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(4,6)],8)
[8,4,6,3,1,7,5,2]=>([(1,6),(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(5,7)],8)
[6,4,7,5,2,1,8,3]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(6,7)],8)
[1,6,4,7,5,3,8,2]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(3,7),(4,6),(5,1),(5,6),(6,7)],8)
[8,6,3,5,2,7,4,1]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[6,3,5,2,8,7,4,1]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7)],8)
[6,3,5,2,7,4,1,8]=>([(0,7),(1,6),(2,5),(2,7),(3,4),(3,5),(4,7),(5,6),(7,6)],8)
[1,4,7,3,5,2,6,8]=>([(0,2),(0,3),(0,4),(1,6),(2,5),(3,7),(4,1),(4,5),(5,7),(7,6)],8)
[5,7,4,2,6,3,1,8]=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[4,2,6,3,5,7,1,8]=>([(0,4),(1,3),(1,7),(2,6),(2,7),(3,6),(5,4),(6,5),(7,5)],8)
[2,4,5,8,1,6,7,3]=>([(0,6),(0,7),(1,5),(1,6),(4,3),(4,7),(5,4),(7,2)],8)
[6,1,3,7,4,2,5,8]=>([(0,7),(1,3),(1,4),(2,5),(3,5),(4,2),(4,7),(5,6),(7,6)],8)
[3,2,6,8,1,5,7,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(5,3),(5,4),(7,4)],8)
[8,2,6,1,5,4,7,3]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(5,7),(6,7)],8)
[8,6,2,7,1,5,4,3]=>([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7)],8)
[7,6,8,3,1,5,4,2]=>([(0,5),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)
[6,3,7,2,8,1,5,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(3,4),(3,6),(3,7),(4,5)],8)
[7,5,2,8,6,1,4,3]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7)],8)
[2,7,3,8,1,5,6,4]=>([(0,6),(0,7),(1,3),(1,4),(3,5),(4,5),(4,6),(4,7),(7,2)],8)
[1,6,8,5,2,4,3,7]=>([(0,4),(0,5),(0,6),(2,7),(3,7),(4,7),(5,1),(5,7),(6,2),(6,3)],8)
[4,5,7,2,8,1,6,3]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(3,7),(4,6)],8)
[8,4,6,5,3,1,7,2]=>([(1,7),(2,4),(2,7),(3,5),(3,6),(5,7),(6,7)],8)
[4,5,3,1,7,2,6,8]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[7,8,1,2,4,3,6,5]=>([(0,4),(1,5),(2,6),(2,7),(3,6),(3,7),(5,2),(5,3)],8)
[8,4,1,6,2,3,7,5]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(4,6),(4,7),(5,7)],8)
[6,1,3,4,2,8,5,7]=>([(0,6),(0,7),(1,3),(1,4),(2,5),(2,7),(3,5),(3,7),(4,2),(5,6)],8)
[8,1,4,3,5,7,6,2]=>([(1,2),(1,3),(1,4),(3,7),(4,7),(7,5),(7,6)],8)
[5,2,4,1,3,7,8,6]=>([(0,6),(0,7),(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[1,7,4,3,6,8,2,5]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[8,7,1,3,6,5,4,2]=>([(2,6),(2,7),(7,3),(7,4),(7,5)],8)
[1,8,5,7,4,2,6,3]=>([(0,3),(0,4),(0,5),(0,6),(4,7),(5,2),(5,7),(6,1),(6,7)],8)
[4,7,5,3,8,2,1,6]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(5,6),(5,7)],8)
[8,1,5,4,7,2,6,3]=>([(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,7)],8)
[6,3,5,8,7,4,1,2]=>([(0,6),(0,7),(1,4),(2,3),(2,5),(5,6),(5,7)],8)
[4,7,2,8,5,6,3,1]=>([(1,4),(1,6),(2,3),(2,6),(2,7),(4,7),(6,5)],8)
[1,4,8,7,3,5,6,2]=>([(0,4),(0,5),(0,6),(5,7),(6,1),(6,2),(6,7),(7,3)],8)
[8,1,7,6,3,5,4,2]=>([(1,4),(1,5),(1,6),(1,7),(7,2),(7,3)],8)
[3,6,8,5,7,4,1,2]=>([(0,5),(1,3),(1,4),(1,6),(4,7),(6,2),(6,7)],8)
[4,7,6,8,5,3,1,2]=>([(1,4),(2,3),(2,5),(2,6),(5,7),(6,7)],8)
[3,8,7,5,6,4,2,1]=>([(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[2,8,7,6,4,5,3,1]=>([(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8)
[1,8,7,6,5,3,4,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)
[4,6,7,2,5,3,1,8]=>([(0,7),(1,3),(1,6),(2,4),(2,6),(3,5),(4,7),(5,7),(6,7)],8)
[2,4,7,8,1,6,5,3]=>([(0,5),(0,6),(0,7),(1,4),(1,7),(3,2),(4,3),(4,5),(4,6)],8)
[4,2,6,8,7,1,5,3]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4)],8)
[5,1,8,4,2,7,6,3]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(3,6),(3,7),(4,2),(4,6),(4,7)],8)
[2,7,3,8,1,6,5,4]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[2,6,8,4,1,7,5,3]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(3,5),(3,7),(4,2),(4,7)],8)
[4,6,7,1,2,8,5,3]=>([(0,5),(1,4),(1,7),(3,6),(4,3),(5,2),(5,6),(5,7)],8)
[3,6,1,8,2,7,5,4]=>([(0,3),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6)],8)
[5,7,4,1,2,8,6,3]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,3,7,1,2,8,5,4]=>([(0,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(7,4)],8)
[1,7,8,5,4,3,2,6]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(2,7),(3,7),(4,7),(5,7),(6,1)],8)
[1,2,6,7,8,4,3,5]=>([(0,6),(2,7),(3,7),(4,5),(5,1),(6,2),(6,3),(6,4)],8)
[8,1,4,6,7,3,5,2]=>([(1,3),(1,4),(1,6),(4,7),(5,2),(6,5),(6,7)],8)
[4,7,1,3,6,8,2,5]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(2,7),(3,6),(3,7),(4,5),(6,5)],8)
[3,7,6,4,8,1,2,5]=>([(0,5),(1,2),(1,3),(1,4),(2,7),(3,7),(4,6),(4,7),(5,6)],8)
[3,7,5,4,2,1,8,6]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,6,7,4,2,8,5]=>([(0,3),(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,1),(5,2),(5,4)],8)
[3,6,4,8,2,7,5,1]=>([(1,5),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,1,6,7,5,3,2,4]=>([(1,3),(1,4),(1,5),(1,6),(4,7),(5,7),(6,2)],8)
[8,7,2,4,6,5,3,1]=>([(3,4),(3,5),(5,6),(5,7)],8)
[1,7,8,2,6,4,5,3]=>([(0,6),(0,7),(5,4),(6,1),(7,2),(7,3),(7,5)],8)
[8,7,2,5,4,6,1,3]=>([(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[8,7,3,2,1,5,6,4]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[3,7,8,2,1,6,5,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4)],8)
[8,7,6,1,4,5,3,2]=>([(3,4),(3,5),(3,6),(6,7)],8)
[4,8,1,2,3,7,5,6]=>([(0,5),(1,4),(1,6),(1,7),(3,6),(3,7),(5,3),(7,2)],8)
[1,8,2,3,6,5,4,7]=>([(0,4),(0,5),(1,7),(2,7),(3,7),(5,6),(6,1),(6,2),(6,3)],8)
[3,5,8,4,7,2,6,1]=>([(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,8,5,4,6,2,3,7]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(3,6),(4,6),(5,1),(6,7)],8)
[3,8,5,4,6,1,2,7]=>([(0,5),(1,2),(1,3),(1,4),(3,6),(4,6),(5,7),(6,7)],8)
[3,8,5,1,6,4,2,7]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(3,5),(4,7),(5,7),(6,7)],8)
[2,8,5,4,6,1,3,7]=>([(0,7),(1,2),(1,3),(1,4),(1,7),(3,5),(4,5),(5,6),(7,6)],8)
[2,8,5,4,6,3,1,7]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(3,7),(4,6),(5,6),(6,7)],8)
[1,8,5,4,6,3,2,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[2,5,8,4,7,3,6,1]=>([(1,3),(1,4),(1,5),(3,7),(4,6),(4,7),(5,2),(5,6),(5,7)],8)
[3,6,4,2,7,8,5,1]=>([(1,6),(1,7),(2,3),(2,5),(3,7),(5,6),(5,7),(7,4)],8)
[3,5,4,1,6,2,7,8]=>([(0,5),(0,7),(1,2),(1,3),(2,7),(3,7),(5,6),(6,4),(7,6)],8)
[4,5,8,1,7,6,2,3]=>([(0,5),(1,4),(1,6),(1,7),(4,3),(5,2),(5,6),(5,7)],8)
[3,5,8,4,7,1,6,2]=>([(0,4),(0,7),(1,3),(1,5),(3,6),(3,7),(5,2),(5,6),(5,7)],8)
[1,5,8,4,7,3,6,2]=>([(0,2),(0,3),(0,4),(0,5),(3,7),(4,6),(4,7),(5,1),(5,6),(5,7)],8)
[3,6,4,1,7,8,5,2]=>([(0,5),(0,6),(0,7),(1,2),(1,4),(2,7),(4,6),(4,7),(7,3)],8)
[3,6,4,8,7,5,2,1]=>([(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,6,4,3,7,8,5,2]=>([(0,2),(0,3),(0,4),(0,5),(3,7),(4,6),(4,7),(5,6),(5,7),(7,1)],8)
[7,1,3,4,8,6,5,2]=>([(0,7),(1,4),(1,5),(5,6),(6,2),(6,3),(6,7)],8)
[7,6,1,3,8,4,2,5]=>([(0,7),(1,7),(2,3),(2,4),(3,5),(3,7),(4,6),(5,6)],8)
[1,6,4,2,7,8,3,5]=>([(0,3),(0,4),(0,5),(2,6),(3,7),(4,6),(4,7),(5,2),(5,7),(7,1)],8)
[2,6,4,3,7,1,8,5]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(2,6),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[2,6,4,1,7,8,3,5]=>([(0,6),(0,7),(1,2),(1,4),(1,6),(2,7),(4,5),(4,7),(6,5),(7,3)],8)
[7,2,3,4,8,6,5,1]=>([(1,7),(2,5),(5,6),(6,3),(6,4),(6,7)],8)
[7,2,3,1,8,6,4,5]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(6,3)],8)
[7,2,3,4,1,6,8,5]=>([(0,7),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6),(6,7)],8)
[1,2,4,3,8,5,7,6]=>([(0,5),(3,6),(3,7),(4,6),(4,7),(5,3),(5,4),(7,1),(7,2)],8)
[7,3,8,6,1,4,2,5]=>([(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(4,7),(6,7)],8)
[7,2,8,6,3,4,1,5]=>([(0,6),(1,7),(2,3),(2,4),(2,6),(4,5),(5,7)],8)
[7,2,3,1,5,6,8,4]=>([(0,5),(1,6),(1,7),(2,4),(3,5),(4,6),(4,7),(7,3)],8)
[7,2,3,8,1,6,5,4]=>([(0,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7)],8)
[7,2,3,8,5,6,4,1]=>([(1,7),(2,6),(5,4),(6,3),(6,5),(6,7)],8)
[2,6,4,8,7,1,5,3]=>([(0,2),(0,3),(0,7),(1,4),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6)],8)
[1,5,8,4,7,6,2,3]=>([(0,3),(0,4),(0,5),(3,6),(3,7),(4,2),(5,1),(5,6),(5,7)],8)
[3,5,8,1,6,7,2,4]=>([(0,4),(0,7),(1,5),(1,6),(4,6),(5,3),(5,7),(7,2)],8)
[7,6,1,3,5,8,2,4]=>([(0,7),(1,7),(2,3),(2,4),(3,6),(4,5),(4,6),(5,7)],8)
[7,1,3,2,5,6,8,4]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(3,7),(4,5),(4,7),(7,2)],8)
[7,1,3,8,2,6,5,4]=>([(0,2),(0,3),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[7,6,1,8,5,4,2,3]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3)],8)
[3,2,6,5,8,4,7,1]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,3),(5,7),(6,3),(6,7)],8)
[4,3,7,1,6,5,8,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[5,2,6,4,8,3,7,1]=>([(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,6,4,8,1,7,3]=>([(0,5),(1,4),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(5,6),(5,7)],8)
[4,3,7,5,8,2,6,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[5,3,7,4,8,2,6,1]=>([(1,7),(2,5),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6)],8)
[5,3,7,4,8,1,6,2]=>([(0,5),(0,7),(1,3),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6)],8)
[4,3,7,1,5,2,8,6]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(3,7),(4,7),(6,5),(6,7)],8)
[4,3,7,1,6,2,8,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6),(3,7),(4,7),(5,7)],8)
[5,4,8,2,6,3,7,1]=>([(1,5),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(7,6)],8)
[5,4,8,1,6,3,7,2]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(4,6),(7,6)],8)
[4,1,7,5,2,3,6,8]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(3,5),(5,4),(6,5),(7,4)],8)
[4,1,7,8,6,3,2,5]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(6,2)],8)
[1,2,6,8,3,7,4,5]=>([(0,6),(3,2),(4,3),(4,7),(5,1),(5,7),(6,4),(6,5)],8)
[6,8,3,2,1,4,7,5]=>([(0,7),(1,7),(2,7),(3,4),(3,6),(7,5),(7,6)],8)
[7,2,4,1,6,5,8,3]=>([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(5,7),(6,7)],8)
[7,5,8,4,3,1,6,2]=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(4,7)],8)
[6,8,2,4,1,3,7,5]=>([(0,5),(1,3),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,4,7,6,3,5,1]=>([(1,4),(1,5),(1,6),(5,7),(6,2),(6,3),(6,7)],8)
[6,1,2,7,5,8,4,3]=>([(0,7),(1,5),(4,6),(5,2),(5,3),(5,4),(5,7),(7,6)],8)
[4,2,7,3,8,5,6,1]=>([(1,5),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(7,3)],8)
[4,5,2,6,8,3,7,1]=>([(1,3),(2,5),(2,7),(3,7),(5,6),(7,4),(7,6)],8)
[4,8,3,2,5,7,6,1]=>([(1,7),(2,7),(3,4),(3,7),(7,5),(7,6)],8)
[6,8,5,3,4,7,2,1]=>([(2,7),(3,6),(4,5),(4,7),(6,7)],8)
[6,8,4,1,5,3,7,2]=>([(0,6),(1,4),(1,7),(2,3),(2,5),(2,6),(5,7),(6,7)],8)
[8,3,4,7,6,2,5,1]=>([(2,4),(3,7),(4,5),(4,6),(4,7)],8)
[1,8,3,5,2,6,7,4]=>([(0,3),(0,4),(0,5),(2,7),(4,6),(4,7),(5,2),(5,6),(7,1)],8)
[6,8,3,5,1,4,7,2]=>([(0,4),(0,7),(1,3),(1,6),(2,5),(2,6),(5,7),(6,7)],8)
[6,8,5,4,2,3,7,1]=>([(1,7),(2,7),(3,6),(4,5),(4,7),(6,7)],8)
[5,8,2,4,3,7,6,1]=>([(1,3),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,3,4,2,6,5,7]=>([(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(5,7),(6,7)],8)
[8,1,3,2,5,6,4,7]=>([(1,3),(1,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(7,2)],8)
[8,1,2,4,5,3,7,6]=>([(1,5),(2,6),(2,7),(3,6),(3,7),(4,3),(5,2),(5,4)],8)
[6,5,3,8,4,2,7,1]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[7,4,5,1,6,2,8,3]=>([(0,7),(1,4),(2,3),(2,6),(3,5),(3,7),(4,6),(6,7)],8)
[4,7,3,5,6,2,8,1]=>([(1,7),(2,6),(3,4),(3,6),(4,7),(5,7),(6,5)],8)
[6,7,8,4,1,3,5,2]=>([(0,7),(1,6),(2,4),(2,5),(5,7),(6,3)],8)
[3,1,6,8,4,7,5,2]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(6,4),(6,5),(7,3),(7,5)],8)
[8,3,6,1,5,7,4,2]=>([(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(6,7)],8)
[3,2,7,5,8,6,1,4]=>([(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(4,5),(6,3),(6,5)],8)
[2,5,4,7,8,1,6,3]=>([(0,5),(0,7),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(6,2)],8)
[2,4,6,7,8,1,5,3]=>([(0,6),(0,7),(1,5),(1,7),(3,4),(4,2),(5,3),(5,6)],8)
[2,4,6,8,1,7,5,3]=>([(0,5),(0,6),(0,7),(1,4),(1,7),(3,2),(3,5),(4,3),(4,6)],8)
[7,4,3,8,6,2,1,5]=>([(0,7),(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[2,4,7,8,3,5,6,1]=>([(1,3),(1,6),(3,7),(5,2),(6,5),(6,7),(7,4)],8)
[3,2,7,6,1,8,4,5]=>([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(4,6),(5,6),(7,3)],8)
[3,2,6,8,1,7,4,5]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(6,3),(6,5),(7,4)],8)
[4,3,6,2,1,8,5,7]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(4,6),(7,5)],8)
[4,6,2,3,7,5,8,1]=>([(1,4),(2,3),(2,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[5,8,4,2,3,6,7,1]=>([(1,7),(2,5),(3,4),(3,7),(5,7),(7,6)],8)
[8,4,5,3,2,1,7,6]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[5,8,3,4,2,1,7,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
[6,8,4,2,3,7,5,1]=>([(1,6),(1,7),(2,5),(3,4),(3,7),(5,6),(5,7)],8)
[6,4,8,3,2,7,1,5]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7)],8)
[5,8,3,7,2,1,6,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7)],8)
[2,5,6,4,7,1,8,3]=>([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(3,5),(4,2),(5,6)],8)
[6,4,7,3,8,2,1,5]=>([(0,7),(1,7),(2,6),(2,7),(3,5),(4,5),(4,7),(5,6)],8)
[6,7,4,3,2,1,8,5]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,7)],8)
[8,4,3,7,2,1,5,6]=>([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[1,2,6,5,8,7,3,4]=>([(0,5),(2,6),(2,7),(3,6),(3,7),(4,1),(5,2),(5,3),(5,4)],8)
[1,5,2,8,4,6,7,3]=>([(0,4),(0,5),(3,7),(4,6),(4,7),(5,2),(5,3),(5,6),(7,1)],8)
[1,5,2,7,4,6,8,3]=>([(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,2),(4,6),(5,7),(6,7)],8)
[5,1,2,7,3,6,8,4]=>([(0,6),(0,7),(1,4),(3,2),(3,6),(4,3),(4,7),(6,5),(7,5)],8)
[5,1,2,8,3,6,7,4]=>([(0,6),(0,7),(1,5),(4,3),(4,7),(5,4),(5,6),(7,2)],8)
[5,6,3,4,8,7,2,1]=>([(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,3,4,8,7,2,1]=>([(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[4,1,2,8,3,6,7,5]=>([(0,5),(0,6),(0,7),(1,4),(3,5),(3,7),(4,3),(4,6),(7,2)],8)
[4,1,2,7,3,6,8,5]=>([(0,2),(1,5),(1,6),(1,7),(2,3),(2,7),(3,5),(3,6),(6,4),(7,4)],8)
[7,5,3,8,4,6,2,1]=>([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
[8,5,3,7,4,6,2,1]=>([(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[5,8,1,2,3,4,7,6]=>([(0,5),(1,3),(1,6),(1,7),(2,6),(2,7),(4,2),(5,4)],8)
[7,1,2,8,3,6,4,5]=>([(0,7),(1,5),(4,3),(5,6),(5,7),(6,2),(6,4)],8)
[6,1,8,2,3,5,7,4]=>([(0,6),(0,7),(1,4),(1,7),(3,6),(4,5),(5,2),(5,3)],8)
[6,1,7,2,3,5,8,4]=>([(0,7),(1,4),(1,7),(3,6),(4,5),(5,2),(5,3),(7,6)],8)
[1,6,8,2,4,5,7,3]=>([(0,5),(0,6),(3,7),(4,3),(5,1),(5,7),(6,2),(6,4)],8)
[4,3,8,7,5,6,2,1]=>([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[1,8,2,7,4,6,5,3]=>([(0,5),(0,7),(6,3),(6,4),(7,1),(7,2),(7,6)],8)
[7,1,6,2,3,5,8,4]=>([(0,7),(1,4),(1,5),(3,7),(4,7),(5,6),(6,2),(6,3)],8)
[8,1,6,2,3,5,7,4]=>([(1,4),(1,5),(3,7),(4,7),(5,6),(6,2),(6,3)],8)
[8,1,7,2,3,5,6,4]=>([(1,4),(1,6),(5,3),(6,7),(7,2),(7,5)],8)
[5,8,3,7,4,6,2,1]=>([(2,5),(2,6),(3,4),(3,6),(3,7),(5,7)],8)
[6,8,7,3,4,5,2,1]=>([(2,6),(3,4),(3,5),(6,7)],8)
[1,8,7,2,4,5,3,6]=>([(0,3),(0,4),(0,6),(1,7),(2,7),(5,2),(6,1),(6,5)],8)
[8,7,1,2,3,4,6,5]=>([(2,6),(5,7),(6,5),(7,3),(7,4)],8)
[8,6,1,2,3,4,7,5]=>([(1,7),(2,5),(4,6),(5,4),(6,3),(6,7)],8)
[8,1,6,2,3,5,4,7]=>([(1,4),(1,5),(2,7),(3,7),(4,7),(5,6),(6,2),(6,3)],8)
[1,7,6,2,4,5,3,8]=>([(0,3),(0,4),(0,6),(1,7),(2,7),(3,7),(4,7),(5,2),(6,1),(6,5)],8)
[1,8,7,4,6,3,5,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,7)],8)
[1,8,3,5,7,2,6,4]=>([(0,2),(0,3),(0,5),(3,6),(3,7),(4,1),(4,7),(5,4),(5,6)],8)
[2,3,4,6,8,5,7,1]=>([(1,4),(3,7),(4,6),(5,2),(5,7),(6,3),(6,5)],8)
[2,3,5,7,4,8,6,1]=>([(1,5),(2,6),(3,6),(3,7),(4,2),(4,7),(5,3),(5,4)],8)
[2,4,6,3,7,8,5,1]=>([(1,4),(1,5),(3,7),(4,6),(4,7),(5,3),(5,6),(7,2)],8)
[2,5,7,1,8,6,3,4]=>([(0,5),(0,6),(0,7),(1,4),(1,7),(3,5),(4,3),(4,6),(7,2)],8)
[8,2,4,5,1,3,7,6]=>([(1,5),(2,3),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,7,1,8,4,5,3]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(3,5),(4,3),(7,2)],8)
[5,8,3,1,4,2,6,7]=>([(0,6),(1,3),(1,7),(2,4),(2,6),(4,7),(6,7),(7,5)],8)
[3,8,4,2,6,7,1,5]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(4,6),(4,7),(6,5)],8)
[2,4,1,8,5,6,3,7]=>([(0,3),(0,7),(1,4),(1,5),(1,7),(2,6),(3,4),(3,5),(5,2),(7,6)],8)
[1,6,2,7,8,5,3,4]=>([(0,4),(0,6),(4,7),(5,2),(6,1),(6,5),(6,7),(7,3)],8)
[3,5,2,6,7,8,4,1]=>([(1,6),(1,7),(2,3),(2,6),(3,7),(4,5),(7,4)],8)
[4,5,1,6,7,3,8,2]=>([(0,5),(1,2),(1,4),(1,7),(3,6),(4,6),(5,7),(7,3)],8)
[2,8,4,1,7,5,3,6]=>([(0,2),(0,3),(0,7),(1,5),(1,6),(1,7),(3,5),(3,6),(6,4),(7,4)],8)
[8,5,3,1,7,4,2,6]=>([(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[4,2,8,7,1,5,3,6]=>([(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,6),(2,7),(6,5),(7,5)],8)
[5,2,6,8,1,7,4,3]=>([(0,7),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(7,3),(7,4)],8)
[5,7,3,2,6,8,1,4]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(7,5)],8)
[8,4,7,3,1,6,2,5]=>([(1,6),(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(5,7)],8)
[6,7,1,2,3,5,8,4]=>([(0,4),(1,5),(3,7),(4,7),(5,6),(6,2),(6,3)],8)
[3,1,6,7,8,4,2,5]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(3,5),(4,2),(6,5),(7,4)],8)
[3,1,4,8,5,6,2,7]=>([(0,7),(1,4),(1,7),(3,6),(4,6),(5,3),(7,2),(7,5)],8)
[8,3,1,4,5,7,2,6]=>([(1,6),(2,3),(2,6),(3,7),(4,5),(4,7),(6,4)],8)
[8,6,2,3,5,1,4,7]=>([(1,7),(2,6),(3,4),(4,5),(4,6),(5,7),(6,7)],8)
[8,2,4,5,7,3,1,6]=>([(1,7),(2,4),(2,5),(4,7),(5,6),(6,3),(6,7)],8)
[2,6,3,8,7,5,4,1]=>([(1,4),(1,5),(4,6),(4,7),(5,2),(5,3),(5,6),(5,7)],8)
[8,2,3,7,5,4,1,6]=>([(1,7),(2,6),(4,7),(5,7),(6,3),(6,4),(6,5)],8)
[8,2,6,3,5,4,1,7]=>([(1,7),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[8,6,1,5,2,4,3,7]=>([(1,7),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[8,6,2,4,1,5,3,7]=>([(1,7),(2,5),(2,6),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,1,6,5,3,2,7]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[8,3,6,1,5,4,2,7]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[8,3,2,6,5,4,1,7]=>([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[8,3,2,5,7,4,1,6]=>([(1,7),(2,5),(2,6),(3,5),(3,6),(5,7),(6,4),(6,7)],8)
[8,3,1,7,5,4,2,6]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(5,7),(6,7)],8)
[8,2,7,4,1,5,3,6]=>([(1,5),(1,7),(2,3),(2,4),(2,5),(4,7),(5,6),(7,6)],8)
[6,1,3,8,7,5,4,2]=>([(0,6),(0,7),(1,4),(1,5),(5,2),(5,3),(5,6),(5,7)],8)
[3,6,1,8,7,5,4,2]=>([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(3,4),(3,5)],8)
[3,8,1,5,7,6,4,2]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(7,2),(7,3)],8)
[3,5,2,8,7,6,4,1]=>([(1,3),(1,4),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7)],8)
[3,4,8,2,7,6,5,1]=>([(1,5),(1,6),(1,7),(2,3),(3,4),(3,5),(3,6),(3,7)],8)
[3,4,8,7,1,6,5,2]=>([(0,5),(1,4),(1,6),(1,7),(5,2),(5,3),(5,6),(5,7)],8)
[8,1,3,5,7,6,4,2]=>([(1,5),(1,7),(6,3),(6,4),(7,2),(7,6)],8)
[4,1,8,5,7,6,3,2]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(7,2),(7,3)],8)
[8,2,7,1,4,5,6,3]=>([(1,6),(1,7),(2,3),(2,6),(2,7),(4,5),(7,4)],8)
[8,1,7,3,4,6,2,5]=>([(1,3),(1,4),(1,5),(4,7),(5,6),(6,2),(6,7)],8)
[8,3,1,7,2,6,5,4]=>([(1,3),(1,4),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7)],8)
[3,8,2,4,7,6,5,1]=>([(1,7),(2,3),(2,7),(7,4),(7,5),(7,6)],8)
[2,8,3,7,4,6,5,1]=>([(1,5),(1,7),(6,3),(6,4),(7,2),(7,6)],8)
[8,2,3,7,1,6,5,4]=>([(1,5),(1,6),(1,7),(2,3),(3,4),(3,5),(3,6),(3,7)],8)
[8,2,7,1,3,6,5,4]=>([(1,7),(2,3),(2,7),(7,4),(7,5),(7,6)],8)
[8,1,7,2,6,4,3,5]=>([(1,3),(1,6),(4,7),(5,7),(6,2),(6,4),(6,5)],8)
[8,1,7,5,2,4,3,6]=>([(1,2),(1,5),(1,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[8,2,3,7,4,6,1,5]=>([(1,7),(2,6),(5,4),(5,7),(6,3),(6,5)],8)
[2,4,8,5,7,6,3,1]=>([(1,5),(1,7),(6,3),(6,4),(7,2),(7,6)],8)
[8,2,4,3,7,6,1,5]=>([(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,2,7,3,5,1,4,6]=>([(1,7),(2,3),(2,4),(4,5),(4,7),(5,6),(7,6)],8)
[8,2,7,4,3,1,5,6]=>([(1,7),(2,3),(2,4),(2,5),(4,7),(5,7),(7,6)],8)
[8,2,7,3,1,5,6,4]=>([(1,6),(1,7),(2,4),(2,5),(5,6),(5,7),(7,3)],8)
[8,2,1,5,7,6,4,3]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(7,3),(7,4)],8)
[6,2,1,8,7,5,4,3]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[6,1,8,2,7,5,4,3]=>([(0,6),(0,7),(1,5),(1,7),(5,2),(5,3),(5,4),(5,6)],8)
[8,1,7,3,5,2,6,4]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(4,7),(5,3),(5,7)],8)
[8,1,5,2,7,6,4,3]=>([(1,4),(1,5),(4,6),(4,7),(5,2),(5,3),(5,6),(5,7)],8)
[8,1,7,2,4,6,5,3]=>([(1,5),(1,7),(6,3),(6,4),(7,2),(7,6)],8)
[8,2,4,1,7,6,5,3]=>([(1,3),(1,4),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7)],8)
[4,2,8,3,7,6,5,1]=>([(1,3),(1,4),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7)],8)
[4,8,2,1,7,6,5,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7)],8)
[5,1,8,7,2,6,4,3]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(4,2),(4,3),(4,5)],8)
[5,8,1,3,7,6,2,4]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(2,5),(3,5),(3,6),(3,7)],8)
[8,2,5,4,1,7,6,3]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[5,1,4,8,7,6,3,2]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(4,5),(4,6),(4,7)],8)
[8,1,4,3,7,6,5,2]=>([(1,2),(1,3),(1,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,8,1,3,7,6,5,2]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(3,5),(3,6),(3,7)],8)
[4,3,8,1,7,6,5,2]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7)],8)
[5,8,6,3,2,1,7,4]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(5,7)],8)
[5,7,6,3,2,4,1,8]=>([(0,7),(1,6),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[6,5,7,2,4,3,1,8]=>([(0,7),(1,6),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[5,7,1,3,2,8,6,4]=>([(0,4),(0,7),(1,2),(1,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6)],8)
[5,8,1,3,2,7,4,6]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(2,5),(2,7),(3,5),(3,7),(5,6)],8)
[8,5,1,3,2,4,6,7]=>([(1,6),(2,3),(2,4),(3,7),(4,7),(6,5),(7,6)],8)
[7,5,8,2,1,4,3,6]=>([(0,4),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7)],8)
[6,7,1,2,5,4,8,3]=>([(0,5),(1,6),(3,7),(4,7),(5,7),(6,2),(6,3),(6,4)],8)
[6,8,1,2,5,7,4,3]=>([(0,6),(1,5),(1,7),(4,7),(6,2),(6,3),(6,4)],8)
[8,1,6,4,2,3,5,7]=>([(1,2),(1,4),(1,5),(2,7),(3,6),(4,6),(5,3),(6,7)],8)
[1,5,4,8,2,3,7,6]=>([(0,2),(0,3),(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1)],8)
[1,7,8,2,3,5,6,4]=>([(0,5),(0,6),(4,1),(5,3),(6,7),(7,2),(7,4)],8)
[7,5,8,2,3,1,4,6]=>([(0,7),(1,5),(2,5),(2,6),(3,4),(4,7),(7,6)],8)
[7,4,1,2,6,8,3,5]=>([(0,5),(1,6),(1,7),(2,3),(3,4),(3,7),(4,6),(7,5)],8)
[6,2,8,1,5,7,3,4]=>([(0,4),(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(7,4)],8)
[7,3,5,4,2,1,8,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,2,8,5,6,1,4]=>([(0,7),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4)],8)
[1,7,4,3,6,8,5,2]=>([(0,1),(0,2),(0,3),(0,4),(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
[4,7,6,5,2,3,8,1]=>([(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(6,7)],8)
[4,7,6,5,1,3,8,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,7),(3,7),(4,7),(6,7)],8)
[6,7,4,2,1,8,5,3]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,7)],8)
[1,7,6,3,2,8,4,5]=>([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,1)],8)
[5,4,2,1,7,3,6,8]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,7),(3,4),(3,7),(4,6),(6,5),(7,5)],8)
[6,5,8,1,7,3,4,2]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(4,5)],8)
[6,5,8,2,3,7,4,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(4,7)],8)
[4,1,2,8,5,3,6,7]=>([(0,5),(0,6),(1,4),(3,7),(4,3),(4,5),(4,6),(6,7),(7,2)],8)
[3,5,8,2,6,1,7,4]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,7),(3,4),(3,6),(6,5)],8)
[3,7,6,1,5,2,8,4]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,7),(3,7),(4,5),(4,7),(6,7)],8)
[1,7,6,2,5,8,4,3]=>([(0,4),(0,5),(0,6),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3)],8)
[1,7,6,5,8,4,2,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(3,7),(4,7),(5,7),(6,1)],8)
[3,7,6,5,8,1,2,4]=>([(0,5),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(5,6)],8)
[3,7,6,2,8,4,5,1]=>([(1,6),(1,7),(2,3),(2,4),(2,6),(3,7),(4,7),(6,5)],8)
[4,3,6,8,5,1,2,7]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(4,7),(5,7),(6,3),(6,7)],8)
[2,7,1,5,8,4,3,6]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(4,7),(5,7),(6,3),(6,7)],8)
[2,7,6,1,8,4,3,5]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(2,7),(3,7),(5,4),(6,4)],8)
[7,1,2,6,3,5,4,8]=>([(0,7),(1,6),(2,7),(3,7),(4,7),(5,3),(5,4),(6,2),(6,5)],8)
[7,2,6,3,4,5,1,8]=>([(0,7),(1,7),(2,4),(2,6),(3,7),(4,7),(5,3),(6,5)],8)
[6,7,8,4,2,5,3,1]=>([(1,7),(2,5),(3,4),(3,7),(5,6)],8)
[6,1,2,5,7,8,4,3]=>([(0,7),(1,6),(4,7),(6,2),(6,3),(6,4),(7,5)],8)
[4,1,2,7,8,5,3,6]=>([(0,6),(0,7),(1,4),(3,5),(4,3),(4,6),(4,7),(6,5),(7,2)],8)
[4,7,3,1,2,6,8,5]=>([(0,6),(0,7),(1,3),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(7,5)],8)
[3,7,6,1,5,8,2,4]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,7),(3,7),(4,5),(6,7)],8)
[3,8,5,6,4,2,7,1]=>([(1,7),(2,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)
[3,2,6,4,7,8,5,1]=>([(1,5),(1,6),(2,5),(2,6),(5,7),(6,3),(6,7),(7,4)],8)
[4,2,7,5,8,3,1,6]=>([(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(5,6),(5,7)],8)
[4,2,7,1,3,8,6,5]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(6,3),(7,3),(7,4),(7,5)],8)
[5,2,1,4,7,8,3,6]=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(4,7),(5,6),(5,7),(6,3)],8)
[5,6,2,7,3,4,8,1]=>([(1,3),(2,4),(2,7),(3,7),(4,5),(5,6),(7,6)],8)
[6,1,3,8,5,4,7,2]=>([(0,6),(0,7),(1,2),(1,5),(3,7),(4,7),(5,3),(5,4),(5,6)],8)
[2,7,6,8,5,1,3,4]=>([(0,7),(1,3),(1,4),(1,5),(1,7),(4,6),(5,6),(7,2)],8)
[2,7,6,8,5,3,1,4]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(3,7),(4,6),(5,6)],8)
[1,5,8,6,4,2,3,7]=>([(0,4),(0,5),(0,6),(2,7),(3,7),(4,7),(5,3),(6,1),(6,2)],8)
[2,5,8,6,4,1,7,3]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(3,7),(4,7),(5,2),(5,3)],8)
[1,6,2,3,5,8,7,4]=>([(0,3),(0,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,1),(5,2)],8)
[4,7,2,3,1,6,8,5]=>([(0,6),(0,7),(1,3),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(7,5)],8)
[6,7,3,1,5,4,8,2]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[7,4,6,2,8,3,5,1]=>([(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)
[7,3,5,1,4,8,2,6]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,6,5,1,2,7,8]=>([(0,5),(1,6),(2,7),(3,7),(5,7),(6,2),(6,3),(7,4)],8)
[7,5,4,3,8,6,2,1]=>([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,8,2,6,7,5,1]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[4,3,8,2,5,7,1,6]=>([(0,7),(1,6),(2,5),(2,7),(3,5),(3,7),(7,4),(7,6)],8)
[5,1,8,6,4,7,2,3]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(3,5),(4,2),(7,5)],8)
[4,2,6,1,5,3,8,7]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,2,3,1,5,8,4]=>([(0,5),(0,6),(1,3),(2,4),(3,7),(4,5),(4,6),(6,7)],8)
[7,5,2,3,8,1,6,4]=>([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[7,5,2,3,8,4,1,6]=>([(0,7),(1,6),(2,6),(2,7),(3,4),(4,5),(4,7),(5,6)],8)
[4,5,1,7,6,3,8,2]=>([(0,4),(1,2),(1,3),(1,5),(1,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,1,7,5,2,3,4,6]=>([(1,2),(1,4),(1,6),(3,7),(4,7),(5,3),(6,5)],8)
[8,6,3,1,4,2,5,7]=>([(1,5),(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[4,5,1,6,2,8,7,3]=>([(0,3),(1,4),(1,7),(3,7),(4,2),(4,5),(4,6),(7,5),(7,6)],8)
[4,8,3,6,1,7,2,5]=>([(0,5),(0,7),(1,4),(1,6),(2,3),(2,5),(2,7),(4,7),(5,6)],8)
[6,2,7,8,3,4,5,1]=>([(1,7),(2,6),(2,7),(5,3),(6,5),(7,4)],8)
[1,2,4,6,8,5,7,3]=>([(0,6),(3,7),(4,2),(4,7),(5,3),(5,4),(6,1),(6,5)],8)
[2,1,7,5,8,6,3,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(5,3),(6,4),(7,2),(7,4)],8)
[4,7,3,8,6,5,2,1]=>([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7)],8)
[3,8,7,4,6,5,1,2]=>([(0,6),(1,4),(1,5),(1,7),(7,2),(7,3)],8)
[7,3,8,4,6,5,1,2]=>([(0,7),(1,5),(2,6),(2,7),(6,3),(6,4)],8)
[7,4,3,6,5,8,1,2]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(5,7),(6,7)],8)
[4,5,8,7,2,6,1,3]=>([(0,3),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7)],8)
[3,8,6,7,5,1,4,2]=>([(0,5),(0,7),(1,3),(1,4),(1,6),(1,7),(6,2)],8)
[4,2,7,6,5,8,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[4,6,7,8,5,2,3,1]=>([(1,5),(2,4),(2,7),(6,3),(7,6)],8)
[4,5,3,8,2,7,6,1]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[3,8,5,4,1,7,6,2]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7)],8)
[6,4,7,2,5,8,3,1]=>([(1,5),(2,5),(2,6),(3,4),(3,6),(5,7),(6,7)],8)
[6,3,8,7,5,1,4,2]=>([(0,6),(0,7),(1,3),(1,5),(2,4),(2,5),(2,6),(2,7)],8)
[5,3,6,4,1,2,8,7]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,4,3,5,7,1,2]=>([(0,6),(1,6),(2,4),(3,5),(3,7),(6,7)],8)
[5,2,4,8,7,6,1,3]=>([(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],8)
[3,2,4,5,1,8,6,7]=>([(0,5),(1,5),(2,6),(2,7),(4,6),(4,7),(5,4),(7,3)],8)
[4,2,5,1,7,8,3,6]=>([(0,7),(1,5),(1,6),(2,6),(2,7),(5,3),(6,4),(7,4),(7,5)],8)
[2,5,4,1,3,8,6,7]=>([(0,5),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(7,2)],8)
[1,4,5,3,8,2,6,7]=>([(0,3),(0,4),(0,5),(2,6),(2,7),(3,7),(4,6),(4,7),(5,2),(7,1)],8)
[5,1,8,2,4,3,6,7]=>([(0,6),(0,7),(1,5),(1,6),(2,7),(3,7),(5,2),(5,3),(7,4)],8)
[1,5,4,8,2,3,6,7]=>([(0,3),(0,4),(0,5),(1,7),(3,6),(3,7),(4,6),(4,7),(5,1),(7,2)],8)
[4,8,3,1,6,7,2,5]=>([(0,6),(0,7),(1,4),(1,6),(2,3),(2,6),(2,7),(4,7),(6,5)],8)
[3,4,8,2,6,5,7,1]=>([(1,6),(1,7),(2,3),(3,4),(3,6),(3,7),(6,5),(7,5)],8)
[3,6,2,4,8,7,1,5]=>([(0,6),(1,7),(2,3),(2,7),(3,4),(3,5),(7,4),(7,5),(7,6)],8)
[4,7,3,2,6,8,1,5]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(6,5)],8)
[7,3,4,6,8,1,2,5]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(4,7),(5,6)],8)
[3,6,7,2,5,8,1,4]=>([(0,7),(1,5),(1,7),(2,3),(2,5),(2,7),(3,4),(4,6),(5,6)],8)
[1,5,6,8,3,7,2,4]=>([(0,2),(0,3),(0,5),(2,6),(3,6),(3,7),(4,1),(4,7),(5,4)],8)
[6,1,5,8,3,4,7,2]=>([(0,6),(0,7),(1,2),(1,4),(1,5),(3,7),(4,6),(4,7),(5,3)],8)
[5,6,8,1,3,4,7,2]=>([(0,6),(1,3),(1,5),(4,7),(5,4),(6,2),(6,7)],8)
[2,8,5,6,3,4,7,1]=>([(1,2),(1,5),(1,6),(3,7),(4,7),(5,4),(6,3)],8)
[6,8,1,3,5,4,7,2]=>([(0,5),(0,7),(1,2),(1,6),(3,7),(4,7),(6,3),(6,4)],8)
[8,1,6,3,5,4,7,2]=>([(1,2),(1,5),(1,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[7,1,2,5,8,4,6,3]=>([(0,7),(1,5),(3,6),(4,6),(4,7),(5,2),(5,3),(5,4)],8)
[6,2,4,8,1,7,3,5]=>([(0,4),(0,7),(1,5),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,6)],8)
[3,1,7,8,5,4,6,2]=>([(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(5,2),(6,4),(7,4)],8)
[1,6,2,7,4,8,5,3]=>([(0,3),(0,5),(3,6),(4,2),(4,7),(5,1),(5,4),(5,6),(6,7)],8)
[2,7,1,8,4,3,5,6]=>([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(3,4),(5,2),(6,5),(7,5)],8)
[6,7,1,8,3,2,4,5]=>([(0,5),(1,3),(1,4),(1,6),(3,7),(4,7),(5,6),(7,2)],8)
[2,7,6,3,5,8,1,4]=>([(0,6),(1,3),(1,4),(1,5),(2,7),(3,7),(4,7),(5,2),(5,6)],8)
[2,7,5,6,8,1,3,4]=>([(0,7),(1,4),(1,5),(1,7),(3,6),(4,6),(5,3),(7,2)],8)
[6,7,2,8,1,3,4,5]=>([(0,6),(1,6),(1,7),(2,3),(3,7),(4,5),(6,4)],8)
[5,1,6,8,7,2,3,4]=>([(0,7),(1,6),(1,7),(5,2),(6,5),(7,3),(7,4)],8)
[1,5,7,6,8,2,3,4]=>([(0,5),(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3)],8)
[7,4,6,8,5,3,1,2]=>([(1,7),(2,5),(3,4),(3,6),(6,7)],8)
[3,8,6,7,5,1,2,4]=>([(0,5),(1,3),(1,4),(1,6),(1,7),(5,7),(6,2)],8)
[4,7,5,8,6,3,1,2]=>([(1,4),(2,5),(2,6),(5,7),(6,3),(6,7)],8)
[1,6,8,3,2,5,4,7]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,7),(5,7),(6,7)],8)
[2,6,8,1,5,4,7,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,2),(3,7),(5,7),(6,7)],8)
[1,5,4,7,6,2,8,3]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,7),(5,7),(6,7)],8)
[2,3,7,6,5,1,8,4]=>([(0,6),(0,7),(1,5),(2,7),(3,7),(4,7),(5,2),(5,3),(5,4),(5,6)],8)
[6,1,5,8,3,2,7,4]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7)],8)
[3,1,2,4,8,5,7,6]=>([(0,7),(1,4),(4,7),(6,2),(6,3),(7,5),(7,6)],8)
[2,5,8,4,6,3,1,7]=>([(0,7),(1,3),(1,4),(1,5),(3,7),(4,6),(5,2),(5,6),(6,7)],8)
[7,1,5,4,8,3,2,6]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,1,7,5,3,2,8]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[2,7,6,4,8,1,5,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,5),(4,7)],8)
[7,2,5,4,8,1,6,3]=>([(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[1,7,2,5,3,8,6,4]=>([(0,3),(0,5),(2,6),(2,7),(3,7),(4,1),(4,6),(4,7),(5,2),(5,4)],8)
[7,2,3,8,6,1,5,4]=>([(0,5),(1,6),(1,7),(2,3),(3,4),(3,5),(3,6),(3,7)],8)
[7,3,2,5,8,1,6,4]=>([(0,4),(0,7),(1,4),(1,7),(2,6),(3,5),(3,7),(4,5),(4,6)],8)
[5,3,8,4,1,2,6,7]=>([(0,6),(0,7),(1,3),(2,4),(2,6),(3,7),(4,7),(7,5)],8)
[2,4,8,3,7,1,5,6]=>([(0,7),(1,4),(1,5),(4,6),(4,7),(5,2),(5,6),(5,7),(7,3)],8)
[5,2,8,4,1,6,3,7]=>([(0,4),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(3,7),(5,6),(7,6)],8)
[7,6,5,2,1,8,4,3]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[2,7,5,1,8,3,6,4]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(3,7),(4,5),(4,7),(6,2),(6,5)],8)
[5,1,8,7,4,3,6,2]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7)],8)
[3,8,7,2,4,6,1,5]=>([(0,7),(1,6),(2,4),(2,5),(2,7),(7,3),(7,6)],8)
[5,7,1,3,2,4,8,6]=>([(0,4),(0,7),(1,2),(1,3),(2,5),(3,5),(4,6),(5,6),(5,7)],8)
[4,2,7,6,3,5,8,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,7),(5,7),(6,7)],8)
[8,4,7,6,3,5,1,2]=>([(1,7),(2,6),(3,4),(3,5),(3,7)],8)
[8,1,7,4,2,3,5,6]=>([(1,2),(1,4),(1,6),(3,7),(4,7),(6,3),(7,5)],8)
[6,5,1,3,8,7,4,2]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(4,5),(4,6),(4,7)],8)
[4,7,8,3,2,5,1,6]=>([(0,7),(1,7),(2,6),(3,4),(3,7),(4,5),(7,6)],8)
[6,1,8,5,3,7,2,4]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,7),(3,5),(4,5),(4,7)],8)
[5,1,6,8,3,7,4,2]=>([(0,7),(1,4),(1,5),(1,7),(5,3),(5,6),(7,2),(7,6)],8)
[8,6,5,1,7,4,3,2]=>([(1,7),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[7,6,4,1,3,5,8,2]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(5,6),(6,7)],8)
[8,2,3,7,1,4,5,6]=>([(1,7),(2,5),(5,4),(5,7),(6,3),(7,6)],8)
[2,8,3,7,1,4,5,6]=>([(0,7),(1,4),(1,5),(5,3),(5,7),(6,2),(7,6)],8)
[5,6,2,7,4,3,1,8]=>([(0,7),(1,5),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6),(6,7)],8)
[8,6,2,7,4,1,3,5]=>([(1,5),(2,6),(3,4),(3,5),(3,6),(4,7),(6,7)],8)
[3,7,8,5,2,1,4,6]=>([(0,7),(1,7),(2,3),(2,4),(2,7),(3,5),(4,6),(7,6)],8)
[6,8,4,7,3,1,5,2]=>([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8)
[4,8,6,5,1,2,7,3]=>([(0,6),(1,3),(1,4),(1,5),(4,7),(5,7),(6,2),(6,7)],8)
[4,8,6,5,1,2,3,7]=>([(0,6),(1,2),(1,4),(1,5),(3,7),(4,7),(5,7),(6,3)],8)
[3,4,5,1,7,6,8,2]=>([(0,4),(1,3),(1,6),(1,7),(2,6),(2,7),(4,2),(6,5),(7,5)],8)
[3,8,7,6,5,1,2,4]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,7),(6,7)],8)
[8,4,6,7,1,2,5,3]=>([(1,6),(2,5),(2,7),(5,4),(6,3),(6,7)],8)
[5,7,2,6,1,8,4,3]=>([(0,4),(0,5),(0,7),(1,4),(1,5),(1,6),(2,3),(2,6),(3,7),(6,7)],8)
[5,7,2,6,1,3,8,4]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(4,7),(5,7),(6,3),(6,7)],8)
[5,8,2,6,1,4,7,3]=>([(0,3),(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(6,4),(7,4)],8)
[3,8,7,5,6,1,4,2]=>([(0,5),(0,7),(1,3),(1,4),(1,6),(1,7),(6,2)],8)
[6,8,4,7,2,1,5,3]=>([(0,5),(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6)],8)
[7,4,6,5,1,3,8,2]=>([(0,7),(1,4),(1,5),(2,3),(2,6),(4,7),(5,7),(6,7)],8)
[1,7,3,4,5,2,8,6]=>([(0,2),(0,3),(0,5),(1,6),(1,7),(2,7),(3,6),(3,7),(4,1),(5,4)],8)
[4,8,2,1,3,5,6,7]=>([(0,6),(1,6),(2,3),(2,7),(4,5),(6,7),(7,4)],8)
[1,7,2,5,4,3,8,6]=>([(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,7),(5,1),(5,2),(5,3)],8)
[2,6,7,3,4,8,1,5]=>([(0,7),(1,4),(1,5),(2,6),(3,6),(3,7),(4,2),(5,3)],8)
[2,1,5,7,4,3,8,6]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,6)],8)
[4,1,8,7,5,6,2,3]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(4,3),(7,2)],8)
[1,5,8,7,4,3,6,2]=>([(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,1),(6,2),(6,7)],8)
[6,4,1,3,8,7,5,2]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(4,5),(4,6),(4,7)],8)
[2,1,7,4,6,8,3,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(5,4),(6,3),(7,2),(7,3)],8)
[1,7,2,4,6,8,3,5]=>([(0,3),(0,5),(1,7),(2,6),(3,6),(4,2),(4,7),(5,1),(5,4)],8)
[8,6,4,2,7,3,5,1]=>([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
[7,4,6,1,2,3,8,5]=>([(0,7),(1,3),(2,4),(2,6),(3,5),(4,7),(5,6),(5,7)],8)
[1,8,6,2,7,3,5,4]=>([(0,3),(0,4),(0,5),(4,7),(5,6),(5,7),(6,1),(6,2)],8)
[1,7,8,6,2,3,5,4]=>([(0,4),(0,5),(0,6),(5,3),(6,7),(7,1),(7,2)],8)
[2,1,8,3,5,7,6,4]=>([(0,6),(0,7),(1,6),(1,7),(5,3),(5,4),(7,2),(7,5)],8)
[3,5,8,1,7,6,2,4]=>([(0,4),(0,5),(1,3),(1,6),(1,7),(3,5),(4,2),(4,6),(4,7)],8)
[2,8,1,3,6,7,5,4]=>([(0,7),(1,3),(1,7),(6,2),(7,4),(7,5),(7,6)],8)
[7,2,4,8,6,1,5,3]=>([(0,6),(1,5),(1,7),(2,3),(2,5),(3,4),(3,6),(3,7)],8)
[6,4,3,2,8,1,7,5]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,2,4,3,8,1,7,5]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,8,4,3,1,6,7,2]=>([(0,7),(1,7),(2,5),(2,7),(3,4),(3,7),(7,6)],8)
[4,2,8,1,5,7,6,3]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(7,3),(7,4)],8)
[6,3,7,2,5,4,8,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,4,7,3,2,6,8,1]=>([(1,7),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[5,7,2,6,3,4,8,1]=>([(1,3),(1,6),(2,4),(2,6),(3,5),(4,7),(5,7),(6,7)],8)
[3,7,5,4,6,2,8,1]=>([(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(5,6),(6,7)],8)
[6,8,3,2,1,7,4,5]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(6,5)],8)
[4,8,1,7,5,3,2,6]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,7),(3,7),(6,7)],8)
[5,4,3,7,2,8,6,1]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(6,5)],8)
[3,6,5,7,2,8,4,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(7,6)],8)
[4,6,5,3,8,2,1,7]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,5,8,7,3,1,4]=>([(0,7),(1,2),(1,3),(1,4),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[6,3,8,4,1,7,2,5]=>([(0,5),(0,7),(1,3),(1,7),(2,4),(2,5),(3,6),(4,6),(4,7)],8)
[7,2,8,1,6,4,3,5]=>([(0,5),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3),(7,3)],8)
[8,2,6,4,3,5,1,7]=>([(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(5,6),(6,7)],8)
[5,4,2,8,6,3,7,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(7,5)],8)
[2,8,7,5,3,1,4,6]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(4,7),(5,6),(7,6)],8)
[2,5,6,3,1,4,8,7]=>([(0,7),(1,2),(1,4),(2,7),(3,5),(3,6),(4,3),(7,5),(7,6)],8)
[2,4,7,8,5,3,1,6]=>([(0,7),(1,4),(1,6),(3,7),(4,7),(5,2),(6,3),(6,5)],8)
[6,5,3,2,4,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8)
[6,5,8,7,3,2,4,1]=>([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[2,1,4,7,8,5,3,6]=>([(0,6),(0,7),(1,6),(1,7),(3,5),(4,2),(6,5),(7,3),(7,4)],8)
[8,3,1,6,5,7,4,2]=>([(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(6,4),(7,4)],8)
[8,5,6,7,3,1,4,2]=>([(1,7),(2,5),(3,4),(3,7),(5,6)],8)
[8,7,5,3,2,6,4,1]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,3,1,4,6,7,2]=>([(1,7),(2,6),(3,5),(3,6),(6,7),(7,4)],8)
[8,5,1,6,4,3,7,2]=>([(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[6,1,4,3,7,8,2,5]=>([(0,7),(1,3),(1,4),(1,5),(3,6),(4,6),(4,7),(5,6),(5,7),(7,2)],8)
[6,1,2,7,5,8,3,4]=>([(0,7),(1,5),(3,6),(4,2),(5,3),(5,4),(5,7),(7,6)],8)
[2,7,3,1,4,6,8,5]=>([(0,7),(1,3),(1,5),(3,7),(4,6),(5,6),(7,2),(7,4)],8)
[2,8,3,1,6,5,7,4]=>([(0,2),(0,3),(1,5),(1,6),(1,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[3,8,5,6,7,1,2,4]=>([(0,4),(1,3),(1,6),(1,7),(4,7),(5,2),(6,5)],8)
[6,5,1,2,8,4,7,3]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(5,7)],8)
[2,5,8,1,4,6,7,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(4,3),(4,7),(6,7),(7,2)],8)
[2,1,8,7,5,4,6,3]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(6,2),(7,2)],8)
[7,8,3,4,1,6,5,2]=>([(0,3),(1,5),(2,4),(2,6),(2,7),(5,6),(5,7)],8)
[8,7,3,4,2,6,5,1]=>([(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[8,4,5,2,3,7,1,6]=>([(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,2,8,6,3,1,5]=>([(0,7),(1,4),(1,5),(1,6),(2,3),(2,5),(2,7),(3,6),(4,7)],8)
[4,7,5,2,3,8,1,6]=>([(0,6),(1,5),(2,3),(2,4),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,7,5,2,8,3,1]=>([(1,6),(2,4),(2,7),(3,5),(3,6),(5,7),(6,7)],8)
[7,5,1,3,6,4,8,2]=>([(0,7),(1,6),(2,3),(2,4),(4,5),(4,6),(5,7),(6,7)],8)
[6,5,2,3,7,8,4,1]=>([(1,7),(2,7),(3,4),(4,6),(4,7),(7,5)],8)
[7,2,6,3,1,5,8,4]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(3,7),(4,5),(4,6),(6,7)],8)
[4,6,3,8,7,5,1,2]=>([(0,5),(0,6),(0,7),(1,3),(2,4),(2,5),(4,6),(4,7)],8)
[2,8,4,1,5,7,6,3]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(5,7),(7,2),(7,3)],8)
[1,8,4,2,5,7,6,3]=>([(0,4),(0,5),(0,6),(5,7),(6,1),(6,7),(7,2),(7,3)],8)
[2,8,5,4,1,7,6,3]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7)],8)
[2,5,8,3,7,1,6,4]=>([(0,6),(0,7),(1,3),(1,4),(3,5),(3,6),(3,7),(4,2),(4,5),(4,7)],8)
[1,8,5,2,4,7,6,3]=>([(0,3),(0,4),(0,5),(2,6),(2,7),(4,6),(4,7),(5,1),(5,2)],8)
[1,4,6,2,8,7,5,3]=>([(0,3),(0,4),(2,5),(2,6),(3,2),(3,7),(4,1),(4,5),(4,6),(4,7)],8)
[7,8,2,4,1,6,5,3]=>([(0,5),(0,6),(0,7),(1,3),(2,4),(2,5),(4,6),(4,7)],8)
[2,4,6,1,8,7,5,3]=>([(0,2),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(3,4),(3,5)],8)
[2,8,4,5,1,7,6,3]=>([(0,5),(0,6),(0,7),(1,2),(1,4),(1,7),(3,5),(3,6),(4,3)],8)
[3,5,8,2,7,6,1,4]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(3,6)],8)
[2,1,6,8,7,5,3,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(6,4),(7,2),(7,3)],8)
[1,8,2,4,5,7,6,3]=>([(0,4),(0,7),(5,6),(6,2),(6,3),(7,1),(7,5)],8)
[1,2,8,3,5,7,6,4]=>([(0,7),(5,2),(5,6),(6,3),(6,4),(7,1),(7,5)],8)
[1,3,8,2,5,7,6,4]=>([(0,4),(0,5),(4,6),(4,7),(5,3),(5,6),(5,7),(7,1),(7,2)],8)
[2,3,8,1,5,7,6,4]=>([(0,6),(0,7),(1,5),(5,4),(5,6),(5,7),(7,2),(7,3)],8)
[2,6,1,8,7,5,3,4]=>([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(3,4),(3,5),(7,2)],8)
[1,6,2,8,7,5,3,4]=>([(0,3),(0,5),(3,6),(3,7),(4,2),(5,1),(5,4),(5,6),(5,7)],8)
[1,6,3,8,7,5,2,4]=>([(0,2),(0,3),(0,4),(2,5),(3,6),(3,7),(4,1),(4,5),(4,6),(4,7)],8)
[2,6,3,8,7,5,1,4]=>([(0,7),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6),(4,7)],8)
[3,2,8,1,5,7,6,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(7,3),(7,4)],8)
[3,1,8,2,5,7,6,4]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(4,5),(4,7),(7,2),(7,3)],8)
[2,8,1,4,5,7,6,3]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(5,2),(5,3),(7,5)],8)
[7,8,2,1,4,6,5,3]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(7,3),(7,4)],8)
[2,3,6,8,7,5,1,4]=>([(0,7),(1,6),(5,3),(5,4),(6,2),(6,5),(6,7)],8)
[3,1,6,8,7,2,5,4]=>([(0,5),(0,6),(0,7),(1,4),(1,7),(4,5),(4,6),(7,2),(7,3)],8)
[3,8,4,5,1,6,2,7]=>([(0,4),(0,7),(1,3),(1,5),(2,7),(4,6),(5,2),(7,6)],8)
[6,1,4,5,7,2,3,8]=>([(0,7),(1,4),(1,5),(2,7),(3,6),(4,2),(5,3),(7,6)],8)
[8,1,4,7,6,3,2,5]=>([(1,4),(1,5),(1,6),(4,7),(5,7),(6,2),(6,3),(6,7)],8)
[8,3,1,6,4,7,2,5]=>([(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(6,4),(7,4),(7,5)],8)
[5,3,8,6,2,7,1,4]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,7),(5,6)],8)
[8,3,6,1,5,7,2,4]=>([(1,3),(1,5),(2,4),(2,5),(2,6),(3,6),(4,7),(5,7)],8)
[8,4,6,3,1,2,5,7]=>([(1,7),(2,4),(3,5),(3,7),(4,7),(5,6),(7,6)],8)
[6,8,1,4,5,2,3,7]=>([(0,4),(0,7),(1,5),(1,6),(2,7),(3,7),(5,3),(6,2)],8)
[1,5,8,4,6,2,3,7]=>([(0,3),(0,4),(0,5),(2,7),(3,6),(4,2),(5,1),(5,6),(6,7)],8)
[2,1,6,5,3,8,4,7]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,6)],8)
[5,6,8,1,4,2,3,7]=>([(0,6),(1,4),(1,5),(3,7),(4,7),(5,3),(6,2),(6,7)],8)
[5,7,4,8,1,2,3,6]=>([(0,6),(0,7),(1,3),(2,4),(2,7),(3,5),(4,6),(5,7)],8)
[8,2,1,5,3,7,4,6]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(6,3),(6,4),(7,4),(7,5)],8)
[4,7,8,1,2,6,3,5]=>([(0,5),(1,4),(1,6),(1,7),(3,7),(4,2),(5,3),(5,6)],8)
[8,7,1,5,6,2,3,4]=>([(2,6),(2,7),(5,4),(6,5),(7,3)],8)
[1,6,5,8,7,2,3,4]=>([(0,2),(0,3),(0,5),(2,6),(2,7),(3,6),(3,7),(4,1),(5,4)],8)
[3,7,1,6,2,4,8,5]=>([(0,3),(0,5),(1,4),(1,5),(1,6),(3,6),(4,7),(5,7),(6,2),(6,7)],8)
[5,1,2,7,6,8,3,4]=>([(0,6),(0,7),(1,4),(3,2),(4,3),(4,6),(4,7),(6,5),(7,5)],8)
[6,1,7,2,5,8,3,4]=>([(0,7),(1,5),(1,7),(3,6),(4,2),(5,3),(5,4),(7,6)],8)
[1,7,6,5,8,2,3,4]=>([(0,2),(0,3),(0,4),(0,6),(2,7),(3,7),(4,7),(5,1),(6,5)],8)
[1,6,8,5,7,2,3,4]=>([(0,3),(0,5),(0,6),(3,7),(4,2),(5,4),(6,1),(6,7)],8)
[7,5,1,2,6,8,3,4]=>([(0,7),(1,3),(2,6),(3,5),(3,6),(5,4),(6,7)],8)
[6,1,5,2,7,8,3,4]=>([(0,7),(1,3),(1,6),(3,7),(5,2),(6,5),(6,7),(7,4)],8)
[1,6,3,8,7,2,4,5]=>([(0,2),(0,3),(0,4),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(7,1)],8)
[1,7,3,2,4,6,8,5]=>([(0,3),(0,4),(0,5),(2,6),(3,7),(4,7),(5,6),(7,1),(7,2)],8)
[8,3,1,4,2,5,7,6]=>([(1,6),(2,3),(2,6),(3,7),(6,7),(7,4),(7,5)],8)
[3,1,2,7,8,4,6,5]=>([(0,6),(0,7),(1,4),(4,6),(4,7),(6,5),(7,2),(7,3)],8)
[5,1,2,6,8,7,3,4]=>([(0,7),(1,6),(5,2),(6,5),(6,7),(7,3),(7,4)],8)
[1,8,6,2,5,7,3,4]=>([(0,3),(0,4),(0,6),(2,7),(4,7),(5,1),(6,2),(6,5)],8)
[5,7,8,1,2,6,3,4]=>([(0,6),(1,5),(1,7),(4,3),(5,2),(6,4),(6,7)],8)
[8,1,5,7,6,2,3,4]=>([(1,6),(1,7),(5,4),(6,5),(7,2),(7,3)],8)
[7,1,6,8,5,2,3,4]=>([(0,7),(1,3),(1,4),(1,6),(4,7),(5,2),(6,5)],8)
[3,7,1,2,8,4,6,5]=>([(0,5),(1,4),(1,7),(4,6),(5,6),(5,7),(7,2),(7,3)],8)
[8,3,1,2,7,6,4,5]=>([(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)
[1,5,8,7,6,2,3,4]=>([(0,6),(0,7),(5,4),(6,5),(7,1),(7,2),(7,3)],8)
[7,8,6,1,5,2,3,4]=>([(1,5),(2,4),(2,7),(6,3),(7,6)],8)
[7,8,6,3,1,5,2,4]=>([(1,6),(1,7),(2,4),(3,5),(3,6),(5,7)],8)
[7,8,1,3,4,5,2,6]=>([(0,4),(1,3),(1,6),(2,7),(3,7),(5,2),(6,5)],8)
[1,7,4,8,2,5,3,6]=>([(0,2),(0,3),(0,4),(1,7),(2,5),(3,5),(3,6),(4,1),(4,6),(6,7)],8)
[3,8,6,1,4,2,7,5]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(3,7),(4,5),(4,7),(6,5),(6,7)],8)
[7,1,8,2,4,6,3,5]=>([(0,7),(1,5),(1,7),(3,6),(4,2),(4,6),(5,3),(5,4)],8)
[7,6,8,4,1,5,3,2]=>([(0,6),(1,6),(2,7),(3,4),(3,5),(3,7)],8)
[7,3,2,8,1,5,4,6]=>([(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[3,5,4,1,7,2,6,8]=>([(0,4),(0,7),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,6),(6,5),(7,5)],8)
[6,4,7,3,2,5,1,8]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
[7,6,5,3,8,4,1,2]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,7)],8)
[6,4,5,7,8,1,3,2]=>([(0,7),(1,5),(2,3),(2,4),(5,7),(7,6)],8)
[3,7,4,1,6,8,5,2]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(2,5),(3,6),(3,7),(7,5)],8)
[3,1,2,7,6,8,5,4]=>([(0,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3),(7,3)],8)
[6,3,2,8,4,5,1,7]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(4,7),(5,4)],8)
[6,1,8,3,5,4,2,7]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,2),(5,3)],8)
[3,8,5,2,4,6,1,7]=>([(0,5),(1,6),(2,3),(2,4),(2,5),(4,7),(5,7),(7,6)],8)
[1,6,4,8,3,5,2,7]=>([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(3,7),(4,5),(4,6),(6,7)],8)
[1,5,4,8,6,3,7,2]=>([(0,1),(0,2),(0,3),(0,4),(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
[4,8,2,5,3,7,1,6]=>([(0,7),(1,3),(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,4,5,2,6,7,1]=>([(1,7),(2,3),(2,6),(4,7),(6,4),(7,5)],8)
[4,1,8,6,5,3,7,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(3,7),(5,7),(6,7)],8)
[5,7,8,4,6,3,2,1]=>([(3,7),(4,5),(4,7),(5,6)],8)
[5,3,2,8,6,4,7,1]=>([(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(7,5)],8)
[6,8,1,2,7,4,3,5]=>([(0,4),(0,7),(1,5),(2,6),(3,6),(5,2),(5,3),(5,7)],8)
[5,8,7,3,6,2,4,1]=>([(1,6),(2,6),(2,7),(3,4),(3,5),(3,7)],8)
[7,5,2,3,4,8,6,1]=>([(1,7),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)
[7,3,5,4,2,8,6,1]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,1,3,2,4,7,8]=>([(0,5),(1,3),(1,4),(3,6),(4,6),(5,7),(6,7),(7,2)],8)
[2,5,1,3,7,8,6,4]=>([(0,7),(1,3),(1,7),(3,5),(3,6),(6,4),(7,2),(7,5),(7,6)],8)
[4,3,7,2,1,8,6,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8)
[4,6,7,2,1,3,5,8]=>([(0,5),(1,5),(2,3),(2,7),(3,4),(4,6),(5,7),(7,6)],8)
[4,6,2,3,1,5,7,8]=>([(0,7),(1,3),(2,4),(2,7),(3,7),(4,6),(6,5),(7,6)],8)
[3,6,4,2,5,1,7,8]=>([(0,7),(1,6),(2,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[3,1,6,4,7,5,2,8]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,7),(3,7),(4,7),(5,4),(6,2),(6,4)],8)
[3,6,2,7,5,4,1,8]=>([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,7),(5,7),(6,7)],8)
[2,4,7,5,3,6,1,8]=>([(0,7),(1,4),(1,5),(2,7),(3,6),(4,6),(5,2),(5,3),(6,7)],8)
[2,5,7,3,4,1,6,8]=>([(0,7),(1,4),(1,5),(2,7),(3,6),(4,2),(5,3),(5,7),(7,6)],8)
[2,3,5,8,6,4,7,1]=>([(1,6),(3,7),(4,7),(5,2),(5,4),(6,3),(6,5)],8)
[2,4,7,3,8,6,5,1]=>([(1,3),(1,4),(2,5),(3,5),(3,6),(3,7),(4,2),(4,6),(4,7)],8)
[3,4,2,7,5,8,6,1]=>([(1,6),(1,7),(2,4),(4,6),(4,7),(6,5),(7,3),(7,5)],8)
[3,1,5,4,7,8,6,2]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(5,2),(6,4),(6,5),(7,4),(7,5)],8)
[4,5,7,2,3,1,8,6]=>([(0,6),(0,7),(1,3),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
[3,7,8,1,4,6,5,2]=>([(0,5),(0,7),(1,6),(1,7),(6,2),(7,3),(7,4)],8)
[2,5,8,7,4,1,3,6]=>([(0,6),(1,4),(1,5),(1,6),(4,7),(5,2),(5,3),(5,7),(6,7)],8)
[2,6,4,7,5,3,8,1]=>([(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(5,2),(5,6),(6,7)],8)
[6,2,4,7,1,3,8,5]=>([(0,7),(1,6),(2,3),(2,7),(3,5),(3,6),(6,4),(7,4),(7,5)],8)
[7,3,5,1,4,2,8,6]=>([(0,7),(1,4),(1,5),(2,3),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,7,1,3,2,8,6]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6)],8)
[6,1,4,7,5,3,8,2]=>([(0,6),(1,2),(1,4),(1,5),(3,7),(4,7),(5,3),(5,6),(6,7)],8)
[8,7,4,3,1,5,6,2]=>([(2,7),(3,7),(4,5),(4,7),(7,6)],8)
[8,7,1,4,3,5,6,2]=>([(2,3),(2,4),(2,5),(4,7),(5,7),(7,6)],8)
[6,1,8,4,7,3,2,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,5),(4,7)],8)
[4,7,3,6,1,2,8,5]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(2,6),(3,7),(4,6),(4,7),(5,7)],8)
[5,2,1,7,4,3,8,6]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[4,7,6,2,3,1,8,5]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6),(5,7)],8)
[7,6,8,2,5,3,4,1]=>([(1,7),(2,7),(3,4),(3,5),(5,6)],8)
[2,3,6,1,8,7,5,4]=>([(0,3),(1,4),(1,5),(1,6),(1,7),(2,6),(2,7),(3,2),(3,4),(3,5)],8)
[2,6,8,7,5,3,1,4]=>([(0,7),(1,4),(1,5),(1,6),(5,7),(6,2),(6,3)],8)
[6,4,1,7,5,2,8,3]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,8,2,3,6,1,4]=>([(0,7),(1,4),(2,3),(2,6),(3,5),(4,6),(4,7)],8)
[4,8,7,1,2,5,6,3]=>([(0,6),(1,3),(1,4),(1,7),(6,2),(6,7),(7,5)],8)
[2,8,7,4,1,5,6,3]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(5,7),(7,2)],8)
[8,6,2,1,5,7,4,3]=>([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,7)],8)
[3,8,6,7,5,2,1,4]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3)],8)
[6,1,3,7,5,8,2,4]=>([(0,7),(1,3),(1,4),(2,5),(3,6),(4,2),(4,6),(4,7),(7,5)],8)
[4,7,3,1,8,5,6,2]=>([(0,6),(0,7),(1,4),(1,6),(2,3),(2,6),(2,7),(4,7),(6,5)],8)
[2,6,7,5,3,4,8,1]=>([(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,3),(6,2)],8)
[2,6,4,5,7,3,8,1]=>([(1,2),(1,4),(1,5),(2,7),(3,6),(4,6),(5,3),(6,7)],8)
[6,1,4,5,8,3,7,2]=>([(0,6),(0,7),(1,2),(1,3),(1,5),(3,7),(4,6),(4,7),(5,4)],8)
[6,1,8,5,3,4,7,2]=>([(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(3,7),(4,7),(5,3)],8)
[4,1,5,6,8,3,7,2]=>([(0,7),(1,3),(1,4),(1,7),(4,6),(5,2),(5,6),(7,5)],8)
[6,4,1,8,7,2,5,3]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5)],8)
[1,3,8,5,2,7,4,6]=>([(0,3),(0,4),(2,5),(2,7),(3,5),(3,6),(4,1),(4,2),(4,6),(6,7)],8)
[1,3,8,6,7,2,4,5]=>([(0,4),(0,6),(4,7),(5,2),(6,1),(6,5),(6,7),(7,3)],8)
[2,8,3,7,6,1,4,5]=>([(0,7),(1,4),(1,6),(6,2),(6,3),(6,7),(7,5)],8)
[4,2,7,8,6,1,3,5]=>([(0,7),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(6,3),(7,4)],8)
[1,3,8,7,6,2,4,5]=>([(0,5),(0,6),(5,7),(6,1),(6,2),(6,3),(6,7),(7,4)],8)
[7,4,6,8,5,2,3,1]=>([(1,7),(2,5),(3,4),(3,6),(6,7)],8)
[5,2,6,7,8,1,3,4]=>([(0,6),(1,7),(2,6),(2,7),(4,5),(6,3),(7,4)],8)
[4,5,6,8,1,2,7,3]=>([(0,5),(1,6),(4,3),(4,7),(5,4),(6,2),(6,7)],8)
[3,5,8,6,1,2,7,4]=>([(0,4),(1,5),(1,7),(3,6),(4,6),(4,7),(5,2),(5,3)],8)
[4,2,6,8,7,1,3,5]=>([(0,6),(0,7),(1,5),(2,5),(2,7),(5,6),(7,3),(7,4)],8)
[1,4,6,8,7,2,3,5]=>([(0,4),(0,5),(3,7),(4,3),(5,6),(5,7),(6,1),(6,2)],8)
[4,5,3,8,1,7,2,6]=>([(0,5),(0,6),(0,7),(1,4),(2,3),(2,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,5,8,4,1,7,2,6]=>([(0,4),(0,7),(1,3),(1,5),(3,6),(3,7),(4,6),(5,2),(5,6),(5,7)],8)
[1,6,5,7,8,2,3,4]=>([(0,3),(0,4),(0,6),(3,7),(4,7),(5,1),(6,5),(7,2)],8)
[6,5,4,8,1,3,7,2]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(5,7)],8)
[7,6,4,8,5,1,3,2]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5)],8)
[6,3,7,5,2,4,8,1]=>([(1,6),(2,5),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[8,1,2,7,4,5,3,6]=>([(1,6),(3,7),(4,7),(5,4),(6,2),(6,3),(6,5)],8)
[2,5,7,4,6,1,3,8]=>([(0,6),(1,3),(1,4),(1,6),(2,7),(3,5),(4,2),(4,5),(5,7),(6,7)],8)
[6,1,7,4,5,3,8,2]=>([(0,6),(1,2),(1,4),(1,5),(1,6),(3,7),(4,7),(5,3),(6,7)],8)
[8,2,7,3,1,5,4,6]=>([(1,6),(1,7),(2,3),(2,4),(4,6),(4,7),(6,5),(7,5)],8)
[2,6,4,8,3,1,7,5]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7)],8)
[8,1,3,7,5,6,4,2]=>([(1,5),(1,7),(6,4),(7,2),(7,3),(7,6)],8)
[1,2,5,3,8,6,7,4]=>([(0,5),(3,6),(3,7),(4,2),(4,6),(4,7),(5,3),(5,4),(7,1)],8)
[4,1,6,5,7,8,2,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(4,3),(5,7),(6,7),(7,2)],8)
[6,1,3,7,4,2,8,5]=>([(0,6),(1,3),(1,4),(2,5),(2,7),(3,5),(3,7),(4,2),(4,6),(6,7)],8)
[6,7,2,4,1,3,8,5]=>([(0,5),(1,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,8,4,2,6,5,1]=>([(1,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7)],8)
[8,5,3,4,2,7,1,6]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[1,3,8,2,5,6,7,4]=>([(0,3),(0,5),(3,6),(3,7),(4,2),(5,1),(5,6),(5,7),(7,4)],8)
[1,8,6,7,2,5,4,3]=>([(0,5),(0,6),(0,7),(6,4),(7,1),(7,2),(7,3)],8)
[7,6,8,3,5,4,2,1]=>([(2,7),(3,7),(4,5),(4,6)],8)
[1,6,7,3,8,5,4,2]=>([(0,4),(0,5),(0,6),(3,7),(5,3),(6,1),(6,2),(6,7)],8)
[8,7,2,4,6,1,5,3]=>([(2,6),(2,7),(3,4),(3,6),(4,5),(4,7)],8)
[7,8,6,5,2,4,3,1]=>([(3,7),(4,5),(4,6)],8)
[3,6,7,5,2,8,4,1]=>([(1,6),(1,7),(2,3),(2,4),(2,6),(3,5),(4,7),(5,7)],8)
[5,4,6,7,8,1,3,2]=>([(0,7),(1,7),(2,4),(2,5),(6,3),(7,6)],8)
[5,3,6,7,8,1,4,2]=>([(0,7),(1,6),(1,7),(2,3),(2,6),(4,5),(7,4)],8)
[5,3,7,6,8,4,1,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6),(5,7),(6,7)],8)
[7,5,3,2,8,6,4,1]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,4,8,6,7,2,3,1]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(7,4)],8)
[5,4,8,6,3,1,2,7]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(4,7),(6,7)],8)
[4,5,7,3,6,2,8,1]=>([(1,7),(2,6),(3,4),(4,5),(4,6),(5,7),(6,7)],8)
[4,5,6,3,8,2,7,1]=>([(1,7),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)
[5,4,8,7,2,1,3,6]=>([(0,6),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(6,7)],8)
[2,5,4,7,8,1,3,6]=>([(0,5),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,2)],8)
[5,3,6,4,8,2,7,1]=>([(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,7,4,6,2,8,1]=>([(1,7),(2,5),(2,6),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,6,3,7,4,5,1]=>([(2,4),(2,6),(4,7),(5,3),(6,5),(6,7)],8)
[8,2,4,7,3,5,6,1]=>([(2,4),(2,6),(4,7),(6,3),(6,7),(7,5)],8)
[8,2,6,5,7,3,4,1]=>([(2,4),(2,5),(2,6),(4,7),(5,7),(6,3)],8)
[4,5,6,2,7,3,8,1]=>([(1,4),(2,3),(2,6),(3,7),(4,5),(5,6),(6,7)],8)
[5,4,6,2,8,3,7,1]=>([(1,5),(2,5),(3,4),(3,6),(4,7),(5,6),(5,7)],8)
[8,4,6,1,7,2,5,3]=>([(1,3),(1,7),(2,4),(2,6),(3,6),(4,5),(4,7)],8)
[5,2,1,6,3,8,7,4]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(6,3),(6,4),(6,5),(7,4),(7,5)],8)
[4,5,6,3,7,1,8,2]=>([(0,6),(1,4),(2,3),(2,7),(4,5),(5,6),(6,7)],8)
[6,3,2,8,5,4,1,7]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[4,3,1,5,2,8,6,7]=>([(0,7),(1,7),(2,4),(2,7),(4,5),(4,6),(6,3),(7,5),(7,6)],8)
[8,5,4,1,3,2,6,7]=>([(1,7),(2,7),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[3,8,4,1,5,2,6,7]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,7),(6,7),(7,2)],8)
[2,5,4,3,8,1,6,7]=>([(0,7),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(7,2)],8)
[2,5,7,4,3,1,6,8]=>([(0,7),(1,2),(1,3),(1,5),(2,7),(3,7),(4,6),(5,4),(5,7),(7,6)],8)
[5,3,4,2,7,1,6,8]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5),(7,5)],8)
[3,7,5,4,1,2,6,8]=>([(0,5),(1,2),(1,3),(1,4),(2,7),(3,7),(4,6),(5,7),(7,6)],8)
[4,2,5,1,3,8,7,6]=>([(0,7),(1,6),(2,6),(2,7),(6,3),(6,4),(6,5),(7,3),(7,4),(7,5)],8)
[4,3,5,1,2,7,6,8]=>([(0,3),(1,7),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)
[4,1,6,3,5,2,7,8]=>([(0,5),(0,6),(1,2),(1,4),(1,6),(2,7),(4,5),(5,7),(6,7),(7,3)],8)
[4,2,1,8,6,3,7,5]=>([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(7,4)],8)
[3,1,7,2,5,6,4,8]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,7),(3,4),(3,5),(4,7),(5,2),(6,7)],8)
[3,7,5,4,2,1,6,8]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,7,2,4,1,6,5,8]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,3,2,1,6,4,5,8]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,4)],8)
[2,8,6,1,7,4,3,5]=>([(0,2),(0,3),(0,6),(0,7),(1,5),(1,6),(1,7),(3,5),(6,4),(7,4)],8)
[2,5,4,6,1,3,7,8]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(5,7),(6,7),(7,2)],8)
[2,5,6,4,1,3,7,8]=>([(0,6),(1,3),(1,5),(1,6),(2,7),(3,7),(5,2),(6,7),(7,4)],8)
[8,5,2,6,1,3,7,4]=>([(1,7),(2,5),(3,5),(3,7),(5,6),(7,4),(7,6)],8)
[7,1,5,6,3,2,4,8]=>([(0,7),(1,3),(1,4),(1,5),(2,7),(3,6),(4,6),(5,2),(6,7)],8)
[7,1,2,5,4,6,3,8]=>([(0,7),(1,5),(2,7),(3,6),(4,6),(5,2),(5,3),(5,4),(6,7)],8)
[2,4,1,6,5,3,7,8]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(4,7),(5,7),(6,7),(7,2)],8)
[4,1,2,7,5,6,3,8]=>([(0,5),(0,6),(1,4),(2,7),(3,7),(4,3),(4,5),(4,6),(5,7),(6,2)],8)
[7,1,2,6,5,4,3,8]=>([(0,7),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2),(6,3),(6,4),(6,5)],8)
[8,2,1,5,6,3,7,4]=>([(1,5),(1,6),(2,5),(2,6),(4,7),(5,4),(6,3),(6,7)],8)
[2,8,5,1,6,4,7,3]=>([(0,2),(0,3),(0,5),(0,7),(1,5),(1,6),(1,7),(3,6),(6,4),(7,4)],8)
[6,1,4,5,3,2,7,8]=>([(0,7),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(6,2),(7,5)],8)
[3,1,6,5,4,2,7,8]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,7),(7,2)],8)
[3,1,4,6,5,2,7,8]=>([(0,6),(1,2),(1,6),(2,7),(4,7),(5,7),(6,4),(6,5),(7,3)],8)
[2,1,8,6,3,7,5,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(6,4),(7,2),(7,3),(7,4)],8)
[5,8,3,1,7,6,4,2]=>([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7)],8)
[7,6,3,2,8,5,1,4]=>([(0,7),(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,6,3,8,7,4,1,2]=>([(0,3),(1,5),(2,4),(2,6),(2,7),(5,6),(5,7)],8)
[5,2,6,8,7,4,1,3]=>([(0,7),(1,6),(2,5),(2,6),(2,7),(7,3),(7,4)],8)
[4,3,8,5,7,2,6,1]=>([(1,6),(2,5),(2,7),(3,5),(3,7),(7,4),(7,6)],8)
[6,3,8,5,4,1,2,7]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(2,6),(3,7),(4,7),(5,7)],8)
[6,3,8,4,5,1,2,7]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(3,5),(4,7),(5,7)],8)
[5,2,3,1,4,8,6,7]=>([(0,7),(1,5),(1,6),(2,4),(4,7),(6,3),(7,5),(7,6)],8)
[5,4,1,3,2,8,6,7]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[5,1,3,4,2,8,6,7]=>([(0,6),(0,7),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3),(7,2)],8)
[5,2,1,4,3,8,6,7]=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[4,2,7,3,8,5,1,6]=>([(0,5),(1,3),(1,7),(2,6),(2,7),(3,4),(3,6),(6,5),(7,4)],8)
[4,7,3,2,8,5,1,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(4,7),(6,5)],8)
[4,3,7,2,8,5,6,1]=>([(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(7,4)],8)
[5,3,1,2,4,8,6,7]=>([(0,7),(1,5),(1,6),(2,4),(4,7),(6,3),(7,5),(7,6)],8)
[5,4,3,1,2,8,6,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)
[5,3,4,1,2,8,6,7]=>([(0,6),(0,7),(1,5),(2,4),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[5,2,3,4,1,8,6,7]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(4,5),(5,6),(5,7),(7,3)],8)
[5,1,7,3,4,6,8,2]=>([(0,6),(0,7),(1,2),(1,4),(1,7),(3,6),(4,3),(6,5),(7,5)],8)
[5,8,7,4,3,1,6,2]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8)
[6,8,1,3,4,5,7,2]=>([(0,4),(0,7),(1,2),(1,6),(3,7),(5,3),(6,5)],8)
[3,1,7,8,2,5,4,6]=>([(0,3),(0,5),(1,5),(1,6),(1,7),(3,6),(3,7),(5,2),(6,4),(7,4)],8)
[6,2,3,7,4,1,8,5]=>([(0,6),(1,5),(1,7),(2,3),(3,4),(3,6),(4,5),(4,7),(6,7)],8)
[6,3,7,4,1,2,5,8]=>([(0,5),(1,3),(2,4),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[7,2,6,8,4,3,1,5]=>([(0,7),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6)],8)
[3,7,2,8,6,5,1,4]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6)],8)
[3,6,7,5,1,2,4,8]=>([(0,4),(1,3),(1,5),(1,6),(2,7),(3,7),(4,6),(5,2),(6,7)],8)
[7,4,5,1,8,2,3,6]=>([(0,7),(1,4),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6)],8)
[7,2,3,1,8,4,5,6]=>([(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(4,5),(6,4)],8)
[2,1,4,8,3,7,5,6]=>([(0,6),(0,7),(1,6),(1,7),(5,3),(6,4),(6,5),(7,2),(7,4),(7,5)],8)
[4,8,1,6,7,3,2,5]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(6,4)],8)
[1,2,7,8,4,3,6,5]=>([(0,5),(2,6),(2,7),(3,6),(3,7),(4,1),(5,2),(5,3),(5,4)],8)
[4,8,1,3,5,6,2,7]=>([(0,5),(0,7),(1,2),(1,4),(2,7),(3,6),(4,6),(7,3)],8)
[5,3,7,8,4,2,6,1]=>([(1,7),(2,6),(2,7),(3,4),(3,6),(4,7),(6,5)],8)
[6,3,7,8,2,4,5,1]=>([(1,7),(2,6),(3,6),(3,7),(6,4),(7,5)],8)
[8,5,2,4,3,1,7,6]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,4,2,3,1,8,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[3,5,4,6,7,1,8,2]=>([(0,5),(0,6),(1,2),(1,3),(2,7),(3,7),(4,6),(7,4)],8)
[1,4,2,6,5,8,7,3]=>([(0,2),(0,3),(2,6),(2,7),(3,1),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[1,3,2,6,4,8,7,5]=>([(0,2),(0,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,1),(7,4),(7,5)],8)
[1,4,2,5,3,8,7,6]=>([(0,1),(0,2),(1,7),(2,3),(2,7),(3,4),(3,5),(3,6),(7,4),(7,5),(7,6)],8)
[1,5,2,6,4,8,7,3]=>([(0,3),(0,4),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,6),(5,7)],8)
[1,6,2,5,3,8,7,4]=>([(0,3),(0,5),(2,6),(2,7),(3,6),(3,7),(4,1),(4,6),(4,7),(5,2),(5,4)],8)
[2,5,1,4,3,8,7,6]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,7,3,5,4,8,6,2]=>([(0,3),(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(4,7),(5,1),(5,2)],8)
[1,8,2,6,3,7,5,4]=>([(0,4),(0,6),(3,7),(5,1),(5,2),(5,7),(6,3),(6,5)],8)
[1,8,3,6,4,7,5,2]=>([(0,3),(0,4),(0,6),(2,7),(5,1),(5,7),(6,2),(6,5)],8)
[1,7,2,6,4,8,5,3]=>([(0,4),(0,6),(3,7),(4,7),(5,2),(5,7),(6,1),(6,3),(6,5)],8)
[1,7,2,6,3,8,5,4]=>([(0,4),(0,6),(3,7),(4,7),(5,1),(5,2),(5,7),(6,3),(6,5)],8)
[1,5,2,7,4,8,6,3]=>([(0,3),(0,4),(2,5),(2,7),(3,5),(3,6),(4,1),(4,2),(4,6),(6,7)],8)
[1,4,2,8,5,7,6,3]=>([(0,4),(0,5),(4,6),(4,7),(5,3),(5,6),(5,7),(7,1),(7,2)],8)
[4,8,1,3,2,6,5,7]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(6,5),(7,5)],8)
[1,5,3,8,4,7,6,2]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(3,5),(3,6),(3,7),(4,1),(4,7)],8)
[1,8,4,7,3,6,5,2]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(4,7),(5,1),(5,6),(5,7)],8)
[2,6,3,8,1,5,4,7]=>([(0,2),(0,3),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[8,3,1,4,2,6,5,7]=>([(1,7),(2,3),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)
[4,8,7,3,5,2,1,6]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(3,6),(6,7)],8)
[6,8,7,3,5,2,4,1]=>([(1,7),(2,6),(2,7),(3,4),(3,5)],8)
[8,3,5,1,2,6,4,7]=>([(1,4),(2,3),(2,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[8,6,3,1,5,4,2,7]=>([(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[8,6,4,1,5,3,2,7]=>([(1,7),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[8,6,5,4,1,3,2,7]=>([(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,3,8,7,4,6,2,1]=>([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7)],8)
[2,3,8,7,4,6,1,5]=>([(0,7),(1,6),(5,4),(5,7),(6,2),(6,3),(6,5)],8)
[8,3,5,7,4,1,2,6]=>([(1,5),(2,4),(2,6),(4,7),(5,7),(6,3),(6,7)],8)
[4,8,5,3,1,2,7,6]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,7,3,1,5,4,2]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4)],8)
[6,8,5,4,1,3,7,2]=>([(0,7),(1,7),(2,5),(2,7),(3,4),(3,6),(6,7)],8)
[2,5,8,7,4,6,3,1]=>([(1,4),(1,5),(1,6),(5,7),(6,2),(6,3),(6,7)],8)
[4,8,7,6,5,1,3,2]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5)],8)
[3,8,7,5,1,6,2,4]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(4,7),(5,6)],8)
[2,3,8,7,5,6,1,4]=>([(0,7),(1,6),(5,4),(6,2),(6,3),(6,5),(6,7)],8)
[2,8,7,1,3,6,4,5]=>([(0,7),(1,3),(1,4),(1,7),(6,2),(7,5),(7,6)],8)
[8,5,4,7,2,1,3,6]=>([(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
[6,8,7,3,5,2,1,4]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5)],8)
[3,5,8,6,4,2,7,1]=>([(1,7),(2,5),(2,6),(4,7),(5,7),(6,3),(6,4)],8)
[6,8,4,1,5,2,7,3]=>([(0,6),(1,3),(1,7),(2,4),(2,6),(4,5),(4,7),(6,7)],8)
[6,8,2,1,7,5,3,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,7),(6,3)],8)
[5,8,4,6,1,2,7,3]=>([(0,6),(1,4),(2,3),(2,6),(4,5),(4,7),(6,7)],8)
[2,4,8,6,5,1,7,3]=>([(0,6),(0,7),(1,5),(1,6),(3,7),(4,7),(5,2),(5,3),(5,4)],8)
[4,8,7,6,5,2,1,3]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6)],8)
[4,8,7,5,1,6,2,3]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(5,7),(6,2)],8)
[4,5,2,1,8,6,7,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,6),(4,7),(7,3)],8)
[4,5,8,3,1,6,7,2]=>([(0,7),(1,6),(2,5),(2,7),(6,3),(6,7),(7,4)],8)
[5,7,2,8,4,6,1,3]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(2,7),(3,7),(4,6)],8)
[6,7,3,2,4,8,5,1]=>([(1,6),(2,6),(3,4),(4,7),(6,5),(6,7)],8)
[7,2,8,6,4,5,1,3]=>([(0,7),(1,6),(2,3),(2,4),(2,6),(2,7),(4,5)],8)
[8,7,2,6,5,1,3,4]=>([(2,7),(3,4),(3,5),(3,7),(7,6)],8)
[5,2,7,8,4,1,3,6]=>([(0,6),(0,7),(1,5),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3)],8)
[2,7,8,6,4,1,3,5]=>([(0,7),(1,3),(1,4),(1,5),(1,7),(4,6),(5,2),(7,6)],8)
[7,6,3,5,2,8,4,1]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[6,2,7,4,8,5,3,1]=>([(1,6),(2,3),(2,4),(2,6),(4,5),(4,7),(6,7)],8)
[8,6,5,1,7,2,4,3]=>([(1,7),(2,7),(3,4),(3,7),(4,5),(4,6)],8)
[6,8,5,1,7,3,2,4]=>([(0,7),(1,3),(1,7),(2,4),(2,5),(2,7),(4,6),(5,6)],8)
[1,6,8,3,7,4,2,5]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(4,7),(5,2),(5,7)],8)
[5,1,6,3,4,8,2,7]=>([(0,6),(1,2),(1,4),(1,6),(2,7),(3,5),(3,7),(4,3),(6,5),(6,7)],8)
[3,5,2,6,4,8,1,7]=>([(0,7),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(4,7),(6,5),(6,7)],8)
[3,5,2,4,8,1,7,6]=>([(0,6),(0,7),(1,4),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,3,8,2,4,1,7,5]=>([(0,6),(0,7),(1,5),(2,4),(2,7),(3,4),(3,5),(5,6),(5,7)],8)
[4,6,3,8,7,5,2,1]=>([(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7)],8)
[6,3,8,7,5,4,2,1]=>([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[6,8,4,2,1,7,5,3]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7)],8)
[5,2,6,4,3,8,1,7]=>([(0,7),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,3,1,4,8,2,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[3,1,7,8,6,4,2,5]=>([(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(3,4),(6,2),(7,4)],8)
[3,8,1,7,6,2,5,4]=>([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(3,4),(3,5)],8)
[8,1,7,6,4,2,5,3]=>([(1,3),(1,4),(1,5),(1,6),(5,7),(6,2),(6,7)],8)
[7,2,6,3,8,5,4,1]=>([(1,7),(2,5),(2,6),(5,7),(6,3),(6,4),(6,7)],8)
[7,3,8,6,4,1,5,2]=>([(0,6),(1,4),(1,7),(2,3),(2,5),(2,6),(5,7)],8)
[1,7,5,8,2,4,3,6]=>([(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(4,7),(5,1),(5,2)],8)
[6,1,5,2,4,8,3,7]=>([(0,6),(0,7),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3)],8)
[1,5,6,3,8,2,4,7]=>([(0,2),(0,3),(0,4),(1,6),(1,7),(2,5),(3,5),(3,6),(4,1),(5,7)],8)
[8,7,1,3,6,5,2,4]=>([(2,5),(2,6),(5,7),(6,3),(6,4),(6,7)],8)
[2,6,7,4,3,8,5,1]=>([(1,3),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[5,2,4,7,3,8,6,1]=>([(1,5),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
[1,5,8,7,2,4,6,3]=>([(0,5),(0,6),(4,7),(5,3),(5,4),(6,1),(6,2),(6,7)],8)
[1,4,8,7,3,6,5,2]=>([(0,3),(0,4),(0,5),(4,6),(4,7),(5,1),(5,2),(5,6),(5,7)],8)
[8,3,7,2,5,1,6,4]=>([(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(5,6)],8)
[3,7,2,8,1,5,4,6]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(6,4),(7,4)],8)
[3,2,6,1,5,8,4,7]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,7),(5,7),(6,4),(6,7)],8)
[7,2,1,5,8,4,3,6]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3),(6,7)],8)
[7,2,8,1,4,3,6,5]=>([(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8)
[1,7,8,3,2,6,5,4]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1)],8)
[1,7,4,8,3,2,6,5]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7)],8)
[1,7,5,4,8,3,2,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,5,4,3,8,2,7]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,4,5,6,8,2,3]=>([(0,3),(0,5),(0,6),(2,7),(3,7),(4,2),(5,1),(6,4)],8)
[1,6,4,2,3,5,7,8]=>([(0,3),(0,4),(0,5),(2,6),(3,7),(4,6),(5,2),(6,7),(7,1)],8)
[1,8,7,2,3,4,5,6]=>([(0,2),(0,3),(0,7),(4,6),(5,4),(6,1),(7,5)],8)
[1,5,8,6,2,3,4,7]=>([(0,5),(0,6),(2,7),(3,7),(4,3),(5,4),(6,1),(6,2)],8)
[1,6,5,7,2,3,4,8]=>([(0,2),(0,3),(0,5),(1,7),(2,6),(3,6),(4,1),(5,4),(6,7)],8)
[1,7,5,6,2,3,4,8]=>([(0,3),(0,5),(0,6),(1,7),(2,7),(3,7),(4,1),(5,2),(6,4)],8)
[1,3,2,7,6,4,5,8]=>([(0,2),(0,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,1)],8)
[1,2,3,7,6,4,5,8]=>([(0,5),(1,7),(2,7),(3,7),(4,3),(5,6),(6,1),(6,2),(6,4)],8)
[1,5,4,2,3,7,6,8]=>([(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,1),(6,5),(7,5)],8)
[1,5,4,2,3,8,6,7]=>([(0,3),(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(7,1)],8)
[1,3,2,8,6,4,5,7]=>([(0,2),(0,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,1),(7,4)],8)
[1,7,5,8,2,3,4,6]=>([(0,2),(0,3),(0,5),(1,7),(2,6),(3,6),(3,7),(4,1),(5,4)],8)
[1,8,7,5,2,3,4,6]=>([(0,2),(0,3),(0,4),(0,6),(1,7),(4,7),(5,1),(6,5)],8)
[2,1,5,8,6,3,7,4]=>([(0,6),(0,7),(1,6),(1,7),(4,5),(6,3),(6,5),(7,2),(7,4)],8)
[2,5,8,4,6,1,7,3]=>([(0,6),(0,7),(1,3),(1,4),(1,7),(3,5),(4,2),(4,5),(5,6)],8)
[2,5,3,8,6,1,7,4]=>([(0,2),(0,3),(1,4),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[2,6,3,5,8,1,7,4]=>([(0,6),(0,7),(1,3),(1,4),(2,5),(2,7),(3,5),(3,7),(4,2),(4,6)],8)
[6,3,2,5,8,1,7,4]=>([(0,5),(0,7),(1,6),(1,7),(2,4),(2,6),(3,4),(3,6),(4,5),(4,7)],8)
[5,3,2,8,6,1,7,4]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(7,4)],8)
[5,8,4,6,1,3,7,2]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(5,7),(6,7)],8)
[5,3,8,6,1,4,7,2]=>([(0,3),(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(6,4),(7,4)],8)
[2,6,5,4,8,1,7,3]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7)],8)
[8,3,5,7,2,6,4,1]=>([(2,6),(2,7),(3,4),(3,6),(4,5),(4,7)],8)
[2,4,6,8,5,3,7,1]=>([(1,4),(1,6),(3,7),(4,7),(5,2),(5,7),(6,3),(6,5)],8)
[2,4,8,1,7,6,5,3]=>([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(3,2),(3,4),(3,5),(3,6)],8)
[4,3,8,1,5,7,6,2]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(7,4),(7,5)],8)
[3,8,4,1,5,7,6,2]=>([(0,6),(0,7),(1,2),(1,3),(3,7),(7,4),(7,5)],8)
[4,3,6,8,5,2,7,1]=>([(1,7),(2,5),(2,6),(3,5),(3,6),(5,7),(6,4),(6,7)],8)
[8,5,4,7,2,6,3,1]=>([(2,6),(2,7),(3,6),(3,7),(4,5),(4,7)],8)
[3,6,8,5,4,2,7,1]=>([(1,7),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3),(6,7)],8)
[3,6,4,8,5,2,7,1]=>([(1,7),(2,3),(2,4),(3,5),(3,6),(4,6),(4,7),(5,7)],8)
[3,6,4,1,8,2,7,5]=>([(0,4),(0,7),(1,2),(1,3),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8)
[3,6,4,1,5,2,8,7]=>([(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,6,5,1,3,7,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,7),(4,7),(6,7)],8)
[2,8,3,5,6,7,1,4]=>([(0,7),(1,3),(1,6),(4,5),(5,2),(6,4),(6,7)],8)
[5,6,2,4,7,1,8,3]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(3,7),(4,7),(7,6)],8)
[2,7,5,4,6,1,8,3]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,7),(3,5),(4,5),(5,7)],8)
[2,3,7,4,6,1,8,5]=>([(0,6),(0,7),(1,5),(2,7),(3,7),(4,3),(4,6),(5,2),(5,4)],8)
[2,6,7,4,1,3,8,5]=>([(0,6),(1,3),(1,4),(1,6),(2,7),(3,5),(3,7),(4,2),(6,5),(6,7)],8)
[6,5,7,4,1,3,8,2]=>([(0,7),(1,6),(2,6),(3,4),(3,5),(5,7),(6,7)],8)
[2,4,6,3,5,7,8,1]=>([(1,4),(1,5),(3,7),(4,6),(5,3),(5,6),(6,7),(7,2)],8)
[4,1,6,3,5,7,8,2]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(4,5),(5,7),(6,7),(7,2)],8)
[3,6,4,2,5,7,8,1]=>([(1,6),(2,4),(2,5),(4,7),(5,6),(6,7),(7,3)],8)
[2,3,6,1,5,7,8,4]=>([(0,5),(0,6),(1,4),(3,7),(4,3),(4,5),(4,6),(6,7),(7,2)],8)
[4,3,6,2,5,7,8,1]=>([(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(6,4),(7,6)],8)
[4,6,1,2,5,7,8,3]=>([(0,5),(1,4),(1,6),(4,7),(5,3),(5,6),(6,7),(7,2)],8)
[2,6,4,1,5,7,8,3]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(3,7),(4,5),(5,7),(7,2)],8)
[2,4,1,6,5,7,8,3]=>([(0,3),(0,5),(1,5),(1,6),(1,7),(3,6),(3,7),(4,2),(6,4),(7,4)],8)
[7,5,4,2,6,1,8,3]=>([(0,7),(1,6),(2,6),(3,5),(3,7),(4,5),(4,6),(6,7)],8)
[4,7,3,1,8,6,5,2]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(4,7)],8)
[5,6,4,2,7,1,8,3]=>([(0,7),(1,5),(1,7),(2,5),(2,6),(3,4),(4,7),(7,6)],8)
[4,2,7,5,3,1,8,6]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,7),(5,6),(5,7)],8)
[5,3,6,4,8,2,1,7]=>([(0,7),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,2,5,4,1,8,6]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,2,5,1,8,6,4]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(3,4),(3,6),(4,5),(4,7)],8)
[4,6,3,8,7,2,1,5]=>([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6)],8)
[4,7,6,3,8,2,1,5]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
[4,7,3,8,6,2,1,5]=>([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6)],8)
[5,7,3,2,6,1,8,4]=>([(0,5),(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,7),(6,7)],8)
[5,7,3,2,6,4,1,8]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[2,7,5,3,1,8,6,4]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,5,2,8,4,3,1,6]=>([(0,7),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[7,3,2,4,1,8,6,5]=>([(0,4),(1,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,4,3,2,7,5,1,6]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(7,5)],8)
[4,3,7,5,8,2,1,6]=>([(0,7),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(5,7)],8)
[4,3,7,5,2,6,1,8]=>([(0,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,5,3,7,2,1,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[4,3,5,2,8,6,1,7]=>([(0,4),(1,4),(2,5),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[1,2,8,6,4,5,7,3]=>([(0,6),(3,7),(4,7),(5,4),(6,1),(6,2),(6,3),(6,5)],8)
[1,8,5,3,4,6,7,2]=>([(0,3),(0,4),(0,5),(0,6),(1,7),(5,7),(6,1),(7,2)],8)
[7,8,4,1,6,3,5,2]=>([(0,6),(0,7),(1,4),(2,3),(2,5),(2,6),(5,7)],8)
[8,7,5,6,1,3,4,2]=>([(2,5),(3,4),(3,6),(6,7)],8)
[3,2,6,4,1,8,5,7]=>([(0,4),(0,7),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(5,7),(6,3),(6,7)],8)
[2,8,6,5,3,1,4,7]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(3,7),(4,7),(5,6),(6,7)],8)
[5,4,8,6,2,3,1,7]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(4,7),(6,7)],8)
[4,8,7,5,2,3,1,6]=>([(0,7),(1,6),(2,3),(2,4),(2,5),(5,7),(6,7)],8)
[5,2,4,7,6,8,3,1]=>([(1,6),(1,7),(2,3),(2,4),(4,6),(4,7),(6,5),(7,5)],8)
[3,4,2,8,7,5,1,6]=>([(0,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[8,5,7,6,3,2,4,1]=>([(2,7),(3,7),(4,5),(4,6)],8)
[6,4,1,8,7,3,2,5]=>([(0,5),(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7)],8)
[1,8,5,4,2,7,3,6]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(3,7),(4,6),(4,7),(5,1),(5,7)],8)
[3,7,6,1,5,8,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,7),(3,7),(6,7)],8)
[3,6,5,8,2,7,4,1]=>([(1,5),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[8,3,2,7,4,6,5,1]=>([(2,6),(2,7),(3,6),(3,7),(7,4),(7,5)],8)
[7,5,8,4,1,3,6,2]=>([(0,7),(1,6),(2,6),(2,7),(3,4),(3,5),(5,7)],8)
[7,1,6,2,3,8,4,5]=>([(0,7),(1,3),(1,5),(3,7),(4,2),(5,6),(6,4),(6,7)],8)
[6,4,7,1,3,2,8,5]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[5,1,3,8,7,2,6,4]=>([(0,2),(0,3),(1,4),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[8,7,1,6,2,5,3,4]=>([(2,5),(2,7),(6,4),(7,3),(7,6)],8)
[3,8,5,2,4,7,6,1]=>([(1,5),(2,3),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,5,2,4,8,3,6]=>([(0,7),(1,4),(1,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3)],8)
[3,8,5,1,4,7,2,6]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(3,5),(3,7),(4,7),(6,5),(6,7)],8)
[7,2,5,4,1,3,8,6]=>([(0,7),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,8,1,6,3,2,4]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,7),(4,7)],8)
[7,4,6,1,3,2,5,8]=>([(0,6),(1,5),(1,7),(2,3),(2,4),(3,7),(4,7),(5,6),(7,6)],8)
[1,4,5,8,6,3,2,7]=>([(0,3),(0,4),(0,5),(2,7),(3,7),(4,7),(5,6),(6,1),(6,2)],8)
[8,4,5,7,2,6,1,3]=>([(1,6),(2,6),(2,7),(3,4),(4,5),(4,7)],8)
[4,5,2,6,7,3,1,8]=>([(0,7),(1,4),(2,3),(2,6),(3,7),(4,6),(5,7),(6,5)],8)
[8,1,7,5,3,6,2,4]=>([(1,2),(1,3),(1,4),(1,5),(3,7),(4,6),(5,6),(5,7)],8)
[5,2,8,3,6,1,4,7]=>([(0,7),(1,3),(1,5),(2,5),(2,6),(3,6),(3,7),(6,4),(7,4)],8)
[5,2,6,3,1,7,8,4]=>([(0,6),(0,7),(1,5),(2,3),(2,5),(3,6),(3,7),(5,7),(7,4)],8)
[4,3,5,1,6,7,8,2]=>([(0,6),(1,6),(2,3),(2,7),(4,5),(6,7),(7,4)],8)
[5,7,6,1,2,3,8,4]=>([(0,6),(1,3),(1,4),(3,7),(4,7),(5,2),(5,7),(6,5)],8)
[3,6,7,5,1,2,8,4]=>([(0,4),(1,3),(1,5),(1,6),(2,7),(3,7),(4,6),(4,7),(5,2)],8)
[1,7,6,8,5,2,4,3]=>([(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,1),(6,2)],8)
[5,7,6,8,1,2,4,3]=>([(0,6),(1,4),(1,5),(4,7),(5,7),(6,2),(6,3)],8)
[5,6,3,7,1,4,8,2]=>([(0,5),(0,7),(1,4),(2,3),(2,5),(4,7),(5,6),(7,6)],8)
[5,3,2,1,8,6,4,7]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4),(7,4)],8)
[7,8,6,1,4,5,2,3]=>([(1,5),(2,6),(2,7),(6,4),(7,3)],8)
[6,5,8,3,7,2,1,4]=>([(0,6),(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7)],8)
[7,8,5,3,6,2,1,4]=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5)],8)
[7,8,5,3,6,2,4,1]=>([(1,7),(2,6),(3,6),(3,7),(4,5)],8)
[7,8,4,3,2,6,5,1]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5)],8)
[1,8,4,3,2,6,7,5]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(7,1)],8)
[5,4,3,8,2,1,7,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,4,8,3,2,1,7,5]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7)],8)
[1,8,4,3,2,7,6,5]=>([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,8,6,7,3,2,4,5]=>([(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,1),(7,2)],8)
[7,8,6,1,3,2,4,5]=>([(1,3),(2,4),(2,5),(4,7),(5,7),(7,6)],8)
[1,8,4,3,2,7,5,6]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(7,1)],8)
[5,4,3,8,2,1,6,7]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[1,8,4,3,2,5,7,6]=>([(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7),(7,1),(7,2)],8)
[5,4,3,8,2,6,7,1]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[6,4,2,3,5,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,5),(5,6),(5,7)],8)
[5,2,3,6,1,4,8,7]=>([(0,3),(1,7),(2,6),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[5,2,3,8,6,4,7,1]=>([(1,6),(1,7),(2,3),(3,4),(3,6),(3,7),(4,5),(7,5)],8)
[5,2,3,7,4,8,1,6]=>([(0,7),(1,6),(1,7),(2,3),(3,4),(3,6),(4,5),(4,7),(6,5)],8)
[8,6,3,2,5,4,7,1]=>([(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,2,3,4,5,8,1,6]=>([(0,3),(1,7),(2,6),(3,5),(4,6),(4,7),(5,4)],8)
[7,2,8,1,5,3,4,6]=>([(0,6),(1,4),(1,7),(2,4),(2,6),(2,7),(3,5),(4,3),(7,5)],8)
[3,8,6,4,7,2,5,1]=>([(1,6),(2,3),(2,4),(2,5),(4,7),(5,6),(5,7)],8)
[2,1,8,6,4,5,7,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(6,2),(7,3)],8)
[4,8,2,5,7,3,1,6]=>([(0,7),(1,3),(1,6),(2,4),(2,6),(4,7),(6,5),(6,7)],8)
[5,8,2,3,4,7,1,6]=>([(0,7),(1,4),(2,3),(2,6),(2,7),(4,5),(5,6),(5,7)],8)
[6,3,4,7,8,2,1,5]=>([(0,7),(1,7),(2,6),(3,4),(4,6),(4,7),(6,5)],8)
[3,8,5,1,4,7,6,2]=>([(0,4),(0,7),(1,2),(1,3),(1,7),(3,5),(3,6),(7,5),(7,6)],8)
[4,8,5,1,3,6,7,2]=>([(0,4),(0,6),(1,3),(1,5),(5,7),(6,7),(7,2)],8)
[4,6,8,5,2,7,3,1]=>([(1,4),(1,7),(2,5),(2,6),(5,7),(6,3),(6,7)],8)
[3,7,8,5,2,6,4,1]=>([(1,6),(1,7),(2,3),(2,4),(2,6),(3,7),(4,5)],8)
[3,8,6,2,7,4,5,1]=>([(1,6),(1,7),(2,3),(2,4),(2,6),(4,7),(6,5)],8)
[8,5,4,7,1,3,6,2]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(5,7)],8)
[7,3,6,2,8,1,5,4]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7)],8)
[8,1,5,2,3,7,6,4]=>([(1,3),(1,4),(3,6),(3,7),(4,5),(5,2),(5,6),(5,7)],8)
[6,4,2,3,7,8,5,1]=>([(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)
[8,4,2,3,6,7,1,5]=>([(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5)],8)
[4,5,8,3,7,2,1,6]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[3,7,2,8,4,5,1,6]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(3,6),(4,7),(5,4)],8)
[3,5,1,8,4,6,2,7]=>([(0,3),(0,7),(1,2),(1,4),(1,7),(2,5),(3,4),(3,6),(6,5),(7,6)],8)
[4,2,1,5,6,8,3,7]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(5,6),(7,3)],8)
[4,1,2,6,5,8,3,7]=>([(0,3),(1,5),(1,6),(2,7),(3,2),(3,5),(3,6),(5,4),(5,7),(6,4),(6,7)],8)
[4,1,8,3,2,6,7,5]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(7,2)],8)
[4,2,7,5,8,1,3,6]=>([(0,6),(1,5),(1,7),(2,5),(2,6),(2,7),(5,4),(6,3),(7,3),(7,4)],8)
[4,6,2,7,8,3,1,5]=>([(0,7),(1,4),(1,7),(2,3),(2,6),(3,7),(4,6),(6,5)],8)
[4,6,1,3,8,2,5,7]=>([(0,4),(0,7),(1,2),(1,3),(2,7),(3,5),(3,7),(4,5),(4,6),(7,6)],8)
[4,3,6,2,1,8,7,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(4,6)],8)
[3,7,4,5,1,6,2,8]=>([(0,4),(0,6),(1,2),(1,5),(2,7),(3,6),(4,7),(5,3),(6,7)],8)
[3,6,4,5,8,2,1,7]=>([(0,7),(1,7),(2,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,4,5,2,8,7,3]=>([(0,6),(0,7),(1,4),(1,5),(3,6),(3,7),(4,3),(5,2),(5,6),(5,7)],8)
[7,2,4,5,1,6,3,8]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6),(5,7),(6,7)],8)
[7,5,4,1,6,3,2,8]=>([(0,7),(1,6),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,5,4,8,6,3,2,7]=>([(0,1),(0,2),(0,3),(0,4),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
[7,5,4,8,6,3,1,2]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5)],8)
[1,8,7,5,3,6,4,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,7)],8)
[8,3,7,4,1,6,2,5]=>([(1,4),(1,6),(2,3),(2,5),(4,7),(5,6),(5,7)],8)
[8,5,4,1,6,3,2,7]=>([(1,6),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,7,4,2,6,5,3,8]=>([(0,2),(0,3),(0,4),(1,7),(2,7),(3,5),(3,6),(4,1),(4,5),(4,6),(5,7),(6,7)],8)
[8,2,1,5,6,7,3,4]=>([(1,6),(1,7),(2,6),(2,7),(4,5),(6,3),(7,4)],8)
[6,3,1,8,4,7,2,5]=>([(0,5),(0,7),(1,4),(1,7),(2,3),(2,4),(2,7),(3,6),(4,5),(4,6)],8)
[7,1,4,8,6,3,2,5]=>([(0,6),(1,3),(1,4),(1,5),(3,7),(4,7),(5,2),(5,6),(5,7)],8)
[4,1,8,5,6,7,2,3]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(4,3),(5,2),(7,5)],8)
[5,7,4,8,6,2,1,3]=>([(0,5),(1,5),(2,6),(2,7),(3,4),(3,6),(4,7)],8)
[5,3,6,8,2,7,1,4]=>([(0,6),(1,7),(2,6),(2,7),(3,5),(3,7),(6,4),(6,5)],8)
[6,3,7,4,8,2,1,5]=>([(0,7),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6)],8)
[5,3,6,1,4,7,2,8]=>([(0,6),(1,3),(1,7),(2,6),(2,7),(3,4),(5,4),(6,5),(7,5)],8)
[4,3,6,8,2,7,1,5]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(6,4),(6,5)],8)
[5,3,7,4,8,2,1,6]=>([(0,7),(1,7),(2,5),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6)],8)
[5,3,8,4,1,6,2,7]=>([(0,5),(0,7),(1,3),(1,7),(2,4),(2,5),(3,6),(4,7),(7,6)],8)
[5,3,8,1,4,7,2,6]=>([(0,4),(0,6),(0,7),(1,4),(1,5),(2,3),(2,5),(3,7),(5,6),(5,7)],8)
[5,8,4,1,6,3,2,7]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[7,3,8,4,1,6,2,5]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(3,7),(4,6),(4,7)],8)
[1,5,8,3,6,7,4,2]=>([(0,4),(0,5),(0,6),(5,2),(5,7),(6,1),(6,7),(7,3)],8)
[1,8,2,5,6,7,3,4]=>([(0,3),(0,7),(4,1),(5,6),(6,2),(7,4),(7,5)],8)
[7,8,4,1,6,5,2,3]=>([(0,6),(0,7),(1,3),(2,4),(2,6),(2,7),(4,5)],8)
[6,3,8,1,5,7,2,4]=>([(0,3),(0,7),(1,4),(1,5),(2,5),(2,6),(2,7),(3,6),(7,4)],8)
[8,3,1,2,5,7,4,6]=>([(1,6),(1,7),(2,4),(4,6),(4,7),(6,5),(7,3),(7,5)],8)
[8,1,4,2,6,5,3,7]=>([(1,3),(1,4),(2,7),(3,5),(3,6),(4,2),(4,5),(4,6),(5,7),(6,7)],8)
[5,1,3,7,4,8,2,6]=>([(0,6),(0,7),(1,2),(1,4),(2,7),(3,5),(3,7),(4,3),(4,6),(6,5)],8)
[5,1,3,4,7,8,2,6]=>([(0,6),(0,7),(1,2),(1,5),(2,7),(3,6),(3,7),(5,3),(6,4)],8)
[2,5,8,7,4,3,6,1]=>([(1,4),(1,5),(1,6),(4,7),(5,7),(6,2),(6,3),(6,7)],8)
[5,1,7,8,3,4,2,6]=>([(0,6),(0,7),(1,3),(1,5),(1,6),(2,7),(3,7),(5,2),(6,4)],8)
[2,5,4,8,3,7,6,1]=>([(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,6,8,2,3,4,1,7]=>([(0,7),(1,6),(2,5),(4,7),(5,4),(6,3),(6,7)],8)
[2,3,5,7,4,6,8,1]=>([(1,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7)],8)
[4,5,2,3,8,6,1,7]=>([(0,5),(1,4),(2,3),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[3,7,4,5,8,1,2,6]=>([(0,4),(1,2),(1,5),(2,6),(3,6),(3,7),(4,7),(5,3)],8)
[3,7,8,1,4,5,2,6]=>([(0,4),(0,7),(1,5),(1,7),(3,6),(4,6),(5,2),(7,3)],8)
[5,8,2,1,6,3,4,7]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,7),(4,6),(5,4),(7,6)],8)
[4,8,1,3,7,5,2,6]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(2,5),(3,6),(3,7),(7,5)],8)
[2,4,7,8,5,3,6,1]=>([(1,4),(1,6),(3,7),(4,7),(5,2),(6,3),(6,5)],8)
[5,3,1,4,7,2,8,6]=>([(0,5),(0,7),(1,4),(2,3),(2,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
[2,4,7,5,8,3,6,1]=>([(1,3),(1,5),(2,6),(3,7),(4,6),(4,7),(5,2),(5,4)],8)
[4,3,5,8,2,1,7,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(5,4),(5,6),(5,7)],8)
[4,8,5,3,7,1,2,6]=>([(0,6),(0,7),(1,4),(2,3),(2,5),(4,7),(5,6),(5,7)],8)
[4,8,5,7,3,1,2,6]=>([(0,7),(1,5),(2,4),(2,6),(5,7),(6,3),(6,7)],8)
[4,8,7,5,1,3,2,6]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(4,7),(5,7),(6,7)],8)
[3,7,8,4,1,5,2,6]=>([(0,4),(0,7),(1,3),(1,5),(3,7),(4,6),(5,2),(7,6)],8)
[1,8,5,7,2,4,3,6]=>([(0,4),(0,5),(0,6),(2,7),(3,7),(5,1),(5,7),(6,2),(6,3)],8)
[1,8,5,4,2,3,6,7]=>([(0,3),(0,4),(0,5),(0,6),(1,7),(4,7),(5,7),(6,1),(7,2)],8)
[1,3,6,8,5,4,2,7]=>([(0,4),(0,6),(2,7),(3,7),(4,7),(5,1),(5,7),(6,2),(6,3),(6,5)],8)
[1,6,3,8,2,7,4,5]=>([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(6,1)],8)
[1,4,2,7,5,8,3,6]=>([(0,2),(0,3),(1,5),(2,6),(2,7),(3,1),(3,6),(3,7),(6,4),(7,4),(7,5)],8)
[1,8,2,3,6,7,5,4]=>([(0,4),(0,6),(5,3),(6,7),(7,1),(7,2),(7,5)],8)
[1,3,6,8,2,7,5,4]=>([(0,2),(0,4),(2,5),(2,6),(2,7),(3,1),(3,7),(4,3),(4,5),(4,6)],8)
[1,6,5,4,3,8,2,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,3,4,5,6,2,7]=>([(0,2),(0,3),(0,6),(1,7),(3,7),(4,5),(5,1),(6,4)],8)
[1,8,3,6,2,4,5,7]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(4,7),(5,2),(5,7),(7,1)],8)
[1,4,5,8,3,6,2,7]=>([(0,2),(0,3),(0,5),(2,7),(3,6),(4,1),(4,6),(5,4),(6,7)],8)
[1,2,7,8,4,5,3,6]=>([(0,6),(2,7),(3,7),(4,3),(5,1),(6,2),(6,4),(6,5)],8)
[7,2,8,5,6,3,4,1]=>([(1,7),(2,5),(2,6),(2,7),(5,4),(6,3)],8)
[7,6,3,8,5,4,2,1]=>([(2,7),(3,7),(4,5),(4,6),(4,7)],8)
[6,2,8,7,5,4,1,3]=>([(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[6,2,8,4,3,7,1,5]=>([(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[5,2,8,4,3,1,7,6]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[1,2,5,4,8,3,7,6]=>([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,2),(4,3)],8)
[1,4,3,6,8,7,2,5]=>([(0,3),(0,4),(0,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,1),(6,2)],8)
[3,2,5,7,6,8,1,4]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(3,6),(4,6),(5,3),(5,4)],8)
[5,3,2,6,8,4,7,1]=>([(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(7,4),(7,6)],8)
[3,1,8,6,4,7,2,5]=>([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(6,3),(7,3),(7,4)],8)
[3,1,6,8,5,4,2,7]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,2),(6,7)],8)
[5,3,2,8,7,6,4,1]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[5,3,8,2,7,6,1,4]=>([(0,5),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[6,5,4,8,3,7,2,1]=>([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,5,1,3,7,2,6]=>([(0,2),(0,4),(1,3),(1,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,8,7,2,6,5,1]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[2,7,5,1,8,4,6,3]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(2,7),(3,4),(3,7),(6,4)],8)
[7,8,5,2,1,6,4,3]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4)],8)
[7,6,4,8,1,2,5,3]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(4,5),(4,6)],8)
[7,5,4,8,3,2,6,1]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,5,6,2,7,1,4]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(4,5),(5,6)],8)
[2,4,5,8,7,3,1,6]=>([(0,7),(1,4),(1,5),(4,7),(5,6),(6,2),(6,3),(6,7)],8)
[2,4,5,8,6,7,1,3]=>([(0,7),(1,5),(1,7),(4,3),(5,6),(6,2),(6,4)],8)
[4,3,1,5,6,2,8,7]=>([(0,7),(1,7),(2,3),(2,7),(3,5),(3,6),(4,5),(4,6),(7,4)],8)
[4,1,5,8,6,7,2,3]=>([(0,7),(1,5),(1,7),(5,3),(6,2),(7,4),(7,6)],8)
[4,3,7,6,1,2,8,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,6),(3,7),(4,7),(5,7)],8)
[4,7,5,6,1,2,8,3]=>([(0,6),(1,4),(1,5),(3,7),(4,7),(5,3),(6,2),(6,7)],8)
[4,3,7,5,6,2,8,1]=>([(1,7),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,4)],8)
[4,5,1,8,6,7,3,2]=>([(0,5),(1,3),(1,4),(1,6),(1,7),(5,6),(5,7),(7,2)],8)
[3,4,5,8,6,7,2,1]=>([(2,6),(5,4),(6,7),(7,3),(7,5)],8)
[2,1,5,8,6,7,4,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(7,2),(7,4)],8)
[3,4,5,8,7,1,2,6]=>([(0,4),(1,5),(4,7),(5,6),(6,2),(6,3),(6,7)],8)
[4,7,1,5,6,2,8,3]=>([(0,4),(0,6),(1,5),(1,6),(3,7),(4,7),(5,2),(5,7),(6,3)],8)
[2,6,4,7,1,3,8,5]=>([(0,7),(1,2),(1,3),(1,7),(2,6),(3,5),(3,6),(6,4),(7,4),(7,5)],8)
[5,3,8,6,4,7,2,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(6,7)],8)
[6,4,1,5,7,8,3,2]=>([(0,7),(1,6),(2,4),(2,5),(2,6),(6,7),(7,3)],8)
[3,6,4,7,2,1,8,5]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(4,5),(4,7),(5,6)],8)
[3,8,4,6,1,7,2,5]=>([(0,4),(0,7),(1,3),(1,5),(2,7),(4,6),(5,2),(5,6)],8)
[3,8,5,6,4,7,2,1]=>([(2,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)
[3,8,4,5,6,7,2,1]=>([(2,4),(2,7),(5,6),(6,3),(7,5)],8)
[3,8,6,5,2,7,4,1]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[3,8,7,5,2,1,4,6]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(2,7),(5,6),(7,6)],8)
[3,8,6,5,1,7,2,4]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(3,7),(4,7),(5,6)],8)
[6,4,1,7,3,2,8,5]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[5,1,4,6,7,2,8,3]=>([(0,7),(1,3),(1,5),(3,7),(4,6),(5,2),(5,6),(7,4)],8)
[6,5,4,7,1,3,8,2]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(5,6),(7,6)],8)
[2,1,6,5,3,7,8,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,7),(5,7),(6,2),(6,7),(7,3)],8)
[6,1,4,7,2,3,8,5]=>([(0,7),(1,2),(1,4),(2,5),(2,7),(3,5),(3,6),(4,3),(7,6)],8)
[1,6,2,5,4,8,3,7]=>([(0,4),(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,3)],8)
[4,1,2,7,5,8,3,6]=>([(0,3),(1,6),(1,7),(2,5),(3,2),(3,6),(3,7),(6,4),(7,4),(7,5)],8)
[6,1,3,5,8,2,4,7]=>([(0,6),(0,7),(1,3),(1,4),(2,6),(2,7),(3,5),(4,2),(4,5),(5,7)],8)
[5,6,4,3,1,8,2,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(4,7),(5,6),(5,7)],8)
[6,2,3,5,8,1,4,7]=>([(0,6),(1,5),(1,7),(2,3),(3,4),(3,6),(4,5),(4,7),(6,7)],8)
[6,7,2,3,8,4,5,1]=>([(1,6),(2,4),(4,7),(5,3),(6,5),(6,7)],8)
[6,7,2,1,3,8,4,5]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,4),(6,7)],8)
[5,7,4,1,8,3,2,6]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6)],8)
[4,1,7,5,8,3,6,2]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(3,5),(6,4),(7,4),(7,5)],8)
[6,7,1,3,8,4,5,2]=>([(0,4),(1,3),(1,6),(4,7),(5,2),(6,5),(6,7)],8)
[1,6,7,4,3,8,5,2]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(3,6),(3,7),(4,6),(4,7),(5,1)],8)
[6,1,7,4,2,8,5,3]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(3,7),(4,2),(4,5),(4,7),(6,7)],8)
[2,1,6,7,4,3,8,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(4,2),(5,3),(5,7),(6,3),(6,7)],8)
[6,7,3,2,1,8,4,5]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,7),(6,5)],8)
[2,5,7,3,1,4,8,6]=>([(0,7),(1,2),(1,4),(2,7),(3,5),(4,3),(4,6),(7,5),(7,6)],8)
[6,7,3,2,8,4,5,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(4,7),(6,5)],8)
[1,2,6,7,4,3,8,5]=>([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,1),(5,2),(5,3),(5,4)],8)
[2,7,1,8,4,6,3,5]=>([(0,3),(0,6),(0,7),(1,5),(1,6),(1,7),(3,5),(6,4),(7,2),(7,4)],8)
[2,7,5,8,1,6,3,4]=>([(0,6),(0,7),(1,3),(1,4),(1,7),(3,5),(4,5),(4,6),(7,2)],8)
[6,7,1,8,4,5,3,2]=>([(0,5),(1,3),(1,4),(1,6),(1,7),(5,7),(6,2)],8)
[8,3,7,6,1,2,5,4]=>([(1,5),(2,3),(2,4),(2,6),(2,7),(5,6),(5,7)],8)
[8,7,3,4,6,2,5,1]=>([(3,7),(4,5),(5,6),(5,7)],8)
[8,2,5,7,1,4,6,3]=>([(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,7),(6,7)],8)
[8,2,4,7,1,5,6,3]=>([(1,6),(1,7),(2,4),(2,6),(4,5),(4,7),(7,3)],8)
[8,2,3,4,7,1,5,6]=>([(1,7),(2,5),(5,6),(6,3),(6,7),(7,4)],8)
[8,7,3,5,6,2,4,1]=>([(3,7),(4,5),(4,7),(5,6)],8)
[8,7,4,6,5,2,3,1]=>([(3,7),(4,5),(4,6)],8)
[8,4,6,7,5,1,2,3]=>([(1,7),(2,5),(2,6),(6,4),(7,3)],8)
[8,4,6,7,5,1,3,2]=>([(1,4),(1,5),(2,6),(2,7),(7,3)],8)
[8,3,5,7,6,1,4,2]=>([(1,5),(1,7),(2,6),(2,7),(6,3),(6,4)],8)
[8,7,3,6,2,1,5,4]=>([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,7,3,4,6,2,1,5]=>([(2,7),(3,7),(4,5),(5,6),(5,7)],8)
[8,7,4,6,5,2,1,3]=>([(2,7),(3,7),(4,5),(4,6)],8)
[8,6,5,2,7,4,3,1]=>([(2,7),(3,7),(4,5),(4,6),(4,7)],8)
[8,4,3,7,6,5,1,2]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4)],8)
[8,5,6,7,4,1,3,2]=>([(2,6),(3,4),(3,5),(6,7)],8)
[8,5,7,6,4,1,2,3]=>([(2,6),(3,4),(3,5),(6,7)],8)
[8,4,2,7,5,1,6,3]=>([(1,5),(1,7),(2,4),(2,6),(3,4),(3,5),(3,6),(6,7)],8)
[8,3,4,2,7,5,6,1]=>([(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)
[8,4,7,6,5,1,2,3]=>([(1,7),(2,4),(2,5),(2,6),(7,3)],8)
[8,3,5,2,7,4,6,1]=>([(2,5),(2,6),(3,4),(3,5),(4,6),(4,7),(5,7)],8)
[8,5,2,6,7,4,1,3]=>([(1,7),(2,6),(3,5),(3,6),(3,7),(7,4)],8)
[8,5,3,7,6,4,1,2]=>([(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8)
[8,6,2,5,7,3,1,4]=>([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8)
[8,6,2,4,7,3,1,5]=>([(1,7),(2,6),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[8,5,2,3,7,4,1,6]=>([(1,7),(2,6),(2,7),(3,4),(4,5),(4,6),(5,7)],8)
[8,5,3,2,7,6,4,1]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,6,1,5,4,3,2,7]=>([(1,7),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[2,4,5,8,3,1,6,7]=>([(0,7),(1,3),(1,5),(3,7),(5,6),(6,2),(6,7),(7,4)],8)
[2,7,4,6,1,5,8,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(2,7),(3,7),(4,2),(4,6),(6,7)],8)
[2,4,3,8,5,1,6,7]=>([(0,7),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,7),(7,2)],8)
[7,8,3,2,5,4,6,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(5,7),(6,7)],8)
[1,5,6,7,3,8,2,4]=>([(0,2),(0,3),(0,5),(1,7),(2,6),(3,6),(3,7),(4,1),(5,4)],8)
[1,6,5,4,8,3,2,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,3,5,8,4,6,2]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(2,7),(4,7),(5,1),(5,2)],8)
[7,2,1,6,4,8,5,3]=>([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,7),(6,3),(6,7)],8)
[7,5,8,3,2,4,6,1]=>([(1,5),(2,6),(3,6),(4,5),(4,7),(6,7)],8)
[3,8,7,2,4,6,5,1]=>([(1,7),(2,3),(2,4),(2,7),(7,5),(7,6)],8)
[1,3,7,6,4,8,5,2]=>([(0,4),(0,6),(2,7),(3,7),(5,1),(5,7),(6,2),(6,3),(6,5)],8)
[3,1,8,7,6,4,2,5]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(7,3)],8)
[3,1,8,7,5,4,2,6]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(5,7),(6,7)],8)
[3,1,7,6,5,4,2,8]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,7,1,6,5,3,2,8]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,8,1,6,5,3,2,7]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,7),(3,7),(5,7),(6,7)],8)
[8,4,1,7,6,3,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7)],8)
[5,4,1,8,6,3,2,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(6,7)],8)
[5,4,1,7,6,3,2,8]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[6,4,1,8,5,3,2,7]=>([(0,6),(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7)],8)
[8,4,1,7,5,3,2,6]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(6,7)],8)
[7,4,1,6,5,3,2,8]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[7,5,6,1,4,3,2,8]=>([(0,7),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(6,7)],8)
[8,5,6,1,4,3,2,7]=>([(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(6,7)],8)
[8,5,7,1,4,3,2,6]=>([(1,3),(1,7),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[5,7,6,1,4,3,2,8]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,8,6,1,4,3,2,7]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,7),(3,7),(4,7),(6,7)],8)
[6,7,5,1,4,3,2,8]=>([(0,7),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(6,7)],8)
[8,7,5,1,4,3,2,6]=>([(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[8,6,5,1,4,3,2,7]=>([(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[8,6,1,7,2,5,3,4]=>([(1,7),(2,6),(2,7),(5,4),(6,3),(6,5)],8)
[1,8,6,3,4,2,5,7]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,7),(4,6),(5,1),(6,7)],8)
[3,1,6,4,5,8,7,2]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(3,4),(3,5),(6,3),(7,4),(7,5)],8)
[3,1,6,4,5,8,2,7]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,7),(3,4),(3,7),(5,3),(6,4),(6,7)],8)
[4,6,8,7,2,5,1,3]=>([(0,6),(1,3),(1,7),(2,6),(2,7),(3,4),(3,5)],8)
[7,6,3,8,4,5,2,1]=>([(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,2,7,6,1,4,3,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(5,7),(6,7)],8)
[5,2,7,8,1,4,3,6]=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3)],8)
[5,6,3,8,4,1,2,7]=>([(0,3),(1,5),(2,4),(2,6),(3,7),(4,7),(5,6),(5,7)],8)
[8,2,7,6,1,4,5,3]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[5,2,3,4,7,1,6,8]=>([(0,7),(1,5),(1,7),(2,3),(3,4),(4,5),(4,7),(5,6),(7,6)],8)
[5,2,3,7,1,6,8,4]=>([(0,5),(0,7),(1,6),(1,7),(2,3),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[8,7,5,3,1,6,4,2]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,4,7,8,5,2,3,6]=>([(0,5),(0,6),(2,7),(3,7),(4,1),(5,2),(6,3),(6,4)],8)
[3,2,6,7,4,1,5,8]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(5,3),(6,4),(7,6)],8)
[5,8,3,7,6,4,1,2]=>([(0,5),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7)],8)
[6,5,1,7,2,4,8,3]=>([(0,7),(1,7),(2,3),(2,7),(3,4),(3,5),(5,6),(7,6)],8)
[3,6,7,1,4,2,5,8]=>([(0,3),(0,7),(1,4),(1,7),(2,6),(3,5),(4,2),(5,6),(7,5)],8)
[4,7,5,8,2,1,3,6]=>([(0,5),(1,5),(2,3),(2,4),(3,7),(4,6),(4,7),(5,6)],8)
[8,1,2,7,5,4,3,6]=>([(1,6),(3,7),(4,7),(5,7),(6,2),(6,3),(6,4),(6,5)],8)
[6,5,1,8,3,7,2,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(3,5),(4,5),(4,7)],8)
[1,8,7,5,3,2,6,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,5,4,2,3,6]=>([(0,5),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(6,2)],8)
[3,4,6,8,1,5,7,2]=>([(0,5),(1,3),(1,7),(4,2),(4,6),(5,4),(5,7),(7,6)],8)
[6,8,1,7,5,4,2,3]=>([(0,5),(0,7),(1,3),(1,4),(1,6),(1,7),(6,2)],8)
[7,6,3,1,2,8,5,4]=>([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[6,3,5,7,1,4,2,8]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,7,5,2,6,4,8,3]=>([(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,1),(5,2),(5,6),(6,7)],8)
[7,1,3,6,8,2,4,5]=>([(0,6),(1,3),(1,5),(3,7),(4,6),(5,4),(5,7),(7,2)],8)
[1,2,5,7,8,4,6,3]=>([(0,6),(3,7),(4,2),(5,4),(5,7),(6,1),(6,3),(6,5)],8)
[3,1,2,7,5,4,8,6]=>([(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,3),(5,7),(6,3),(6,7)],8)
[6,7,4,1,3,2,8,5]=>([(0,6),(0,7),(1,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,2,8,4,3,5,6]=>([(0,4),(0,5),(2,7),(3,7),(4,6),(5,2),(5,3),(5,6),(7,1)],8)
[1,6,3,5,7,8,2,4]=>([(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,2),(5,6),(7,1)],8)
[8,6,1,7,5,2,4,3]=>([(1,7),(2,5),(2,6),(2,7),(6,3),(6,4)],8)
[7,6,4,1,8,3,2,5]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
[8,4,1,6,5,2,7,3]=>([(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,3,4,7,8,2,6]=>([(0,3),(0,4),(0,5),(1,6),(1,7),(3,7),(4,6),(4,7),(5,1),(6,2)],8)
[4,2,1,5,7,8,3,6]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(5,6),(7,3),(7,6)],8)
[5,4,1,6,7,8,2,3]=>([(0,7),(1,7),(2,5),(2,7),(5,4),(6,3),(7,6)],8)
[5,1,4,6,7,8,2,3]=>([(0,7),(1,4),(1,5),(4,7),(5,3),(6,2),(7,6)],8)
[4,1,5,3,7,8,2,6]=>([(0,5),(1,3),(1,4),(1,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,2)],8)
[8,1,4,6,5,2,7,3]=>([(1,5),(1,6),(3,7),(4,7),(5,2),(5,7),(6,3),(6,4)],8)
[7,1,5,4,6,3,2,8]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[8,2,1,6,7,5,4,3]=>([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[1,2,4,7,6,3,8,5]=>([(0,5),(1,7),(2,7),(3,6),(3,7),(4,1),(4,2),(4,6),(5,3),(5,4)],8)
[6,7,4,1,8,5,2,3]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(2,7),(3,5),(4,7)],8)
[8,6,4,1,5,7,3,2]=>([(1,7),(2,6),(3,4),(3,5),(3,6),(6,7)],8)
[5,2,4,3,7,1,6,8]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[6,1,5,4,8,3,2,7]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,8,7,4,3,6,5]=>([(0,5),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,3),(5,4)],8)
[3,2,1,7,5,8,4,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(5,4),(6,3),(7,3),(7,4)],8)
[1,3,6,4,7,8,2,5]=>([(0,4),(0,5),(2,7),(3,6),(3,7),(4,6),(5,2),(5,3),(7,1)],8)
[4,5,1,3,7,8,2,6]=>([(0,5),(1,2),(1,3),(2,7),(3,6),(3,7),(5,6),(5,7),(6,4)],8)
[5,2,3,1,7,8,4,6]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(3,6),(3,7),(6,5),(7,4)],8)
[1,6,4,3,7,8,2,5]=>([(0,2),(0,3),(0,4),(0,5),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(7,1)],8)
[7,6,4,3,1,5,2,8]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,5,4,6,1,3,2,8]=>([(0,7),(1,6),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[8,4,6,5,1,2,7,3]=>([(1,6),(2,4),(2,5),(4,7),(5,7),(6,3),(6,7)],8)
[1,5,6,3,7,8,2,4]=>([(0,3),(0,4),(0,5),(2,7),(3,6),(4,6),(4,7),(5,2),(7,1)],8)
[1,5,2,4,3,8,7,6]=>([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,2)],8)
[8,6,5,7,2,1,4,3]=>([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[1,6,3,8,4,5,7,2]=>([(0,2),(0,3),(0,5),(1,7),(3,6),(3,7),(4,1),(5,4),(5,6)],8)
[7,5,4,2,6,3,8,1]=>([(1,7),(2,6),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,3,8,4,7,5,6,1]=>([(1,7),(5,4),(6,3),(6,5),(7,2),(7,6)],8)
[3,7,2,8,6,4,5,1]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(4,7),(6,3)],8)
[6,3,7,5,8,2,4,1]=>([(1,5),(2,6),(3,4),(3,5),(3,6),(4,7),(6,7)],8)
[4,3,7,8,6,2,5,1]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4)],8)
[3,8,1,7,5,2,4,6]=>([(0,3),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(3,6),(6,4),(7,4)],8)
[2,4,7,8,6,1,5,3]=>([(0,6),(0,7),(1,5),(1,7),(4,3),(5,2),(5,4),(5,6)],8)
[2,4,8,5,1,7,3,6]=>([(0,6),(0,7),(1,4),(1,7),(3,5),(3,6),(4,2),(4,3),(7,5)],8)
[2,8,3,5,1,6,4,7]=>([(0,6),(0,7),(1,2),(1,4),(3,6),(4,3),(4,7),(6,5),(7,5)],8)
[8,2,4,6,3,7,5,1]=>([(2,3),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
[4,5,3,8,2,1,7,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[1,4,6,2,7,5,3,8]=>([(0,3),(0,4),(1,7),(2,5),(3,2),(3,6),(4,1),(4,5),(4,6),(5,7),(6,7)],8)
[8,2,1,4,5,6,7,3]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(5,4),(7,3)],8)
[7,3,1,2,5,6,4,8]=>([(0,7),(1,5),(1,6),(2,4),(3,7),(4,5),(4,6),(5,7),(6,3)],8)
[7,8,2,1,5,4,6,3]=>([(0,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,4),(7,4)],8)
[1,4,8,5,2,6,3,7]=>([(0,4),(0,5),(2,7),(3,6),(4,2),(4,6),(5,1),(5,3),(6,7)],8)
[5,2,3,7,8,1,6,4]=>([(0,6),(0,7),(1,5),(1,7),(2,4),(4,5),(4,6),(4,7),(6,3)],8)
[1,2,8,4,3,6,7,5]=>([(0,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3),(5,4),(7,1)],8)
[1,2,7,5,3,4,6,8]=>([(0,5),(1,7),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4),(6,7)],8)
[1,7,3,2,6,8,4,5]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(7,1)],8)
[7,2,1,3,6,8,4,5]=>([(0,7),(1,6),(2,6),(3,7),(4,5),(6,3),(6,4)],8)
[4,7,8,1,6,5,3,2]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(5,2)],8)
[3,5,8,6,1,4,2,7]=>([(0,4),(0,6),(1,5),(1,6),(3,7),(4,7),(5,2),(5,3),(6,7)],8)
[1,8,4,2,7,6,3,5]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(3,6),(3,7),(4,1),(4,6),(4,7)],8)
[7,3,8,1,6,5,4,2]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7)],8)
[7,3,8,2,6,5,4,1]=>([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7)],8)
[7,1,3,8,6,5,4,2]=>([(0,7),(1,5),(1,6),(6,2),(6,3),(6,4),(6,7)],8)
[8,1,3,7,6,5,4,2]=>([(1,6),(1,7),(7,2),(7,3),(7,4),(7,5)],8)
[2,4,1,8,7,3,6,5]=>([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(7,3),(7,4)],8)
[7,3,8,6,1,5,4,2]=>([(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7)],8)
[3,5,1,7,8,2,6,4]=>([(0,4),(0,6),(1,3),(1,7),(3,5),(3,6),(4,5),(4,7),(7,2)],8)
[5,4,7,8,2,1,6,3]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(6,4)],8)
[6,3,8,7,1,5,4,2]=>([(0,4),(0,5),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7)],8)
[8,6,4,7,1,5,3,2]=>([(1,6),(2,6),(2,7),(3,4),(3,5),(3,7)],8)
[6,4,7,1,5,3,2,8]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[3,4,6,2,1,8,5,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,4),(3,7),(4,5),(4,6),(7,5)],8)
[4,5,7,2,1,6,3,8]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(3,4),(3,7),(4,6),(5,6),(7,6)],8)
[5,6,4,8,3,2,1,7]=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[5,7,4,8,2,1,6,3]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6)],8)
[4,7,5,8,2,1,6,3]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(3,6),(4,6),(4,7)],8)
[5,7,4,2,6,3,8,1]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[5,7,4,1,6,2,8,3]=>([(0,6),(1,3),(1,6),(2,4),(2,6),(3,7),(4,5),(4,7),(6,7)],8)
[8,5,6,1,7,3,2,4]=>([(1,5),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6)],8)
[4,5,1,6,7,8,3,2]=>([(0,5),(1,3),(1,4),(1,7),(5,7),(6,2),(7,6)],8)
[4,5,2,6,1,3,8,7]=>([(0,3),(1,6),(2,6),(2,7),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[8,4,6,7,2,5,1,3]=>([(1,6),(2,6),(2,7),(3,4),(3,7),(4,5)],8)
[7,1,4,6,8,3,5,2]=>([(0,7),(1,3),(1,4),(1,5),(2,7),(4,6),(5,2),(5,6)],8)
[6,7,1,2,4,8,5,3]=>([(0,4),(1,6),(4,7),(5,3),(5,7),(6,2),(6,5)],8)
[1,6,3,4,7,8,5,2]=>([(0,3),(0,4),(0,6),(4,7),(5,1),(5,7),(6,5),(7,2)],8)
[2,3,6,4,7,5,8,1]=>([(1,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7)],8)
[7,8,1,3,4,5,6,2]=>([(0,4),(1,3),(1,7),(5,6),(6,2),(7,5)],8)
[1,8,2,6,7,3,4,5]=>([(0,3),(0,7),(4,1),(5,6),(6,2),(7,4),(7,5)],8)
[4,7,3,2,8,1,5,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(5,6),(7,4)],8)
[7,1,2,6,3,8,5,4]=>([(0,7),(1,5),(4,7),(5,4),(5,6),(6,2),(6,3),(6,7)],8)
[8,1,2,6,3,7,5,4]=>([(1,5),(4,7),(5,4),(5,6),(6,2),(6,3),(6,7)],8)
[8,1,2,7,6,3,5,4]=>([(1,7),(6,4),(6,5),(7,2),(7,3),(7,6)],8)
[4,8,7,3,1,6,2,5]=>([(0,6),(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(5,7)],8)
[4,7,8,3,1,6,2,5]=>([(0,6),(0,7),(1,3),(1,6),(2,4),(2,6),(2,7),(3,7),(4,5)],8)
[7,4,3,1,6,2,8,5]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6),(4,7),(5,7)],8)
[7,4,3,1,8,6,2,5]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6)],8)
[3,7,6,2,4,8,1,5]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(5,7)],8)
[4,3,7,2,8,6,1,5]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8)
[6,1,2,7,4,3,8,5]=>([(0,6),(1,4),(2,5),(2,7),(3,5),(3,7),(4,2),(4,3),(4,6),(6,7)],8)
[5,1,2,6,3,8,7,4]=>([(0,7),(1,3),(3,4),(3,7),(4,2),(4,5),(4,6),(7,5),(7,6)],8)
[5,1,2,7,3,8,6,4]=>([(0,6),(0,7),(1,4),(3,2),(3,5),(3,6),(4,3),(4,7),(7,5)],8)
[6,1,2,7,3,5,8,4]=>([(0,7),(1,4),(3,6),(4,5),(4,7),(5,2),(5,3),(7,6)],8)
[7,5,3,2,1,8,6,4]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,2,1,5,3,6,7,8]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(5,6),(6,3),(7,6)],8)
[6,2,5,4,1,8,7,3]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[4,6,3,2,1,8,7,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7)],8)
[6,5,3,2,1,8,7,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,4,3,2,7,6,1,5]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,5,8,4,7,6,3,2]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(4,7),(5,1),(5,6),(5,7)],8)
[3,2,7,4,8,6,1,5]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(6,4),(7,3),(7,4),(7,5)],8)
[7,4,3,2,8,6,1,5]=>([(0,7),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,8,3,7,5,2,1,4]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(3,6),(3,7)],8)
[5,7,8,4,3,2,1,6]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,4,3,8,5,2,1,7]=>([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7)],8)
[8,2,5,4,7,6,1,3]=>([(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[7,2,5,4,8,6,1,3]=>([(0,7),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[4,5,3,2,8,6,1,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(7,5)],8)
[3,2,5,4,8,6,1,7]=>([(0,4),(1,6),(1,7),(2,6),(2,7),(5,4),(6,3),(6,5),(7,3),(7,5)],8)
[3,2,8,6,5,4,1,7]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[8,4,3,6,5,2,1,7]=>([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,4,3,7,5,2,1,6]=>([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
[3,2,7,8,5,4,1,6]=>([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3)],8)
[6,8,7,4,3,2,1,5]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6)],8)
[3,6,1,4,8,7,2,5]=>([(0,3),(0,7),(1,2),(1,7),(2,6),(3,4),(3,5),(7,4),(7,5),(7,6)],8)
[5,8,1,3,7,2,6,4]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(2,5),(2,7),(3,5),(3,6),(3,7)],8)
[4,7,5,1,8,2,6,3]=>([(0,5),(0,7),(1,3),(1,4),(3,7),(4,6),(4,7),(5,2),(5,6)],8)
[6,3,2,1,8,7,4,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4)],8)
[6,2,3,1,8,7,4,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,5),(3,6),(3,7),(5,4)],8)
[3,4,8,1,7,5,6,2]=>([(0,5),(1,4),(1,6),(1,7),(5,3),(5,6),(5,7),(7,2)],8)
[7,2,5,1,8,3,6,4]=>([(0,7),(1,5),(1,7),(2,3),(2,5),(3,6),(3,7),(5,4),(5,6)],8)
[7,2,1,5,8,4,6,3]=>([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(7,3),(7,4)],8)
[4,2,8,1,7,5,6,3]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[7,3,1,5,2,8,6,4]=>([(0,7),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(3,7),(4,6),(4,7)],8)
[7,1,6,4,2,8,5,3]=>([(0,7),(1,3),(1,4),(1,5),(3,7),(4,6),(4,7),(5,2),(5,6),(5,7)],8)
[3,7,4,1,5,8,6,2]=>([(0,5),(0,7),(1,3),(1,4),(3,7),(4,6),(7,2),(7,6)],8)
[5,8,6,1,2,7,4,3]=>([(0,6),(1,4),(1,5),(5,7),(6,2),(6,3),(6,7)],8)
[6,8,1,4,3,7,5,2]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7)],8)
[6,7,1,4,3,8,5,2]=>([(0,5),(1,2),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[4,7,1,5,3,8,6,2]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(3,5),(3,7),(4,7),(6,5),(6,7)],8)
[6,8,1,2,4,7,5,3]=>([(0,6),(1,4),(1,7),(5,3),(5,7),(6,2),(6,5)],8)
[7,1,6,4,8,3,5,2]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(3,7),(4,6),(5,6),(5,7)],8)
[8,6,4,1,3,7,5,2]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(5,6),(5,7)],8)
[8,5,3,6,1,7,4,2]=>([(1,5),(2,5),(2,6),(3,4),(3,6),(3,7),(5,7)],8)
[7,2,1,4,5,8,6,3]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(6,3)],8)
[8,5,6,1,2,7,4,3]=>([(1,5),(2,6),(5,7),(6,3),(6,4),(6,7)],8)
[8,6,2,5,4,7,3,1]=>([(2,7),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[8,5,7,3,2,4,6,1]=>([(2,6),(3,6),(4,5),(4,7),(6,7)],8)
[8,5,2,1,4,3,6,7]=>([(1,7),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7),(7,4)],8)
[2,8,4,1,3,6,7,5]=>([(0,6),(1,3),(1,4),(1,6),(4,5),(4,7),(6,5),(6,7),(7,2)],8)
[8,1,2,4,5,6,7,3]=>([(1,7),(4,6),(5,4),(6,2),(7,3),(7,5)],8)
[6,1,4,3,2,7,8,5]=>([(0,7),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(7,2)],8)
[1,8,3,6,7,2,4,5]=>([(0,3),(0,4),(0,6),(4,7),(5,1),(6,5),(6,7),(7,2)],8)
[1,2,8,3,7,4,6,5]=>([(0,7),(5,2),(5,6),(6,3),(6,4),(7,1),(7,5)],8)
[8,2,6,5,4,3,1,7]=>([(1,7),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[8,2,7,6,4,5,3,1]=>([(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[8,7,3,5,4,2,6,1]=>([(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,6,7,2,1,8,3,5]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,6),(3,4),(4,7),(5,6)],8)
[3,7,1,8,2,5,4,6]=>([(0,3),(0,5),(1,2),(1,6),(1,7),(2,5),(3,6),(3,7),(6,4),(7,4)],8)
[4,5,8,6,1,3,7,2]=>([(0,6),(1,3),(1,5),(4,7),(5,7),(6,2),(6,4)],8)
[4,5,8,6,2,7,3,1]=>([(1,6),(2,5),(2,7),(4,7),(6,3),(6,4)],8)
[4,6,7,1,5,3,8,2]=>([(0,5),(0,6),(1,2),(1,4),(1,6),(3,7),(4,7),(5,3),(6,7)],8)
[4,6,7,2,1,8,5,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(3,4),(4,7)],8)
[4,2,5,6,7,8,3,1]=>([(1,7),(2,4),(2,7),(5,3),(6,5),(7,6)],8)
[4,1,3,5,6,7,8,2]=>([(0,7),(1,3),(1,4),(4,7),(5,2),(6,5),(7,6)],8)
[3,7,8,4,5,1,6,2]=>([(0,4),(0,7),(1,5),(1,6),(3,7),(5,2),(6,3)],8)
[4,6,8,3,2,7,1,5]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6)],8)
[4,6,8,2,3,7,1,5]=>([(0,7),(1,4),(2,3),(2,7),(3,5),(3,6),(4,6),(4,7)],8)
[3,8,1,7,4,5,2,6]=>([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(2,5),(4,5),(7,2)],8)
[4,5,8,3,7,1,2,6]=>([(0,6),(0,7),(1,3),(2,4),(3,7),(4,5),(4,6),(4,7)],8)
[3,7,8,4,6,2,5,1]=>([(1,7),(2,5),(2,6),(5,4),(6,3),(6,7)],8)
[3,6,1,5,7,8,2,4]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(3,7),(4,5),(6,7),(7,2)],8)
[3,8,2,5,4,7,1,6]=>([(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,6,2,5,1,7,4]=>([(0,6),(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[4,5,8,6,2,1,7,3]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(5,7)],8)
[4,5,8,6,1,2,7,3]=>([(0,6),(1,5),(4,7),(5,3),(5,7),(6,2),(6,4)],8)
[4,6,8,5,2,7,1,3]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(3,7),(4,5),(4,7)],8)
[3,7,8,5,2,6,1,4]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(4,6)],8)
[3,7,8,5,4,1,6,2]=>([(0,5),(0,7),(1,3),(1,4),(1,6),(3,7),(4,7),(6,2)],8)
[4,6,8,5,3,1,7,2]=>([(0,7),(1,4),(1,7),(2,5),(2,6),(5,7),(6,3),(6,7)],8)
[7,8,2,3,5,4,1,6]=>([(0,7),(1,5),(2,6),(3,7),(4,7),(6,3),(6,4)],8)
[4,6,5,2,7,8,1,3]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(3,7),(4,7),(7,5)],8)
[1,6,5,2,3,4,8,7]=>([(0,2),(0,3),(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,1),(5,4)],8)
[4,6,5,1,7,3,8,2]=>([(0,3),(0,4),(1,2),(1,5),(1,7),(3,7),(4,7),(5,6),(7,6)],8)
[5,7,3,1,2,4,8,6]=>([(0,6),(1,4),(2,3),(2,5),(3,7),(4,6),(6,5),(6,7)],8)
[6,3,2,5,1,7,4,8]=>([(0,7),(1,6),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(6,5),(7,5)],8)
[6,1,2,4,8,5,3,7]=>([(0,6),(0,7),(1,5),(2,7),(3,7),(4,3),(4,6),(5,2),(5,4)],8)
[6,3,1,7,2,5,8,4]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,7),(3,5),(3,6),(6,4),(7,4)],8)
[3,6,5,8,1,7,2,4]=>([(0,4),(0,7),(1,2),(1,3),(1,6),(2,5),(2,7),(3,5),(3,7),(4,6)],8)
[5,2,7,3,4,6,1,8]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6),(5,7),(6,7)],8)
[1,3,5,8,6,4,7,2]=>([(0,4),(0,6),(2,7),(3,7),(5,1),(5,3),(6,2),(6,5)],8)
[1,3,5,8,6,7,2,4]=>([(0,3),(0,5),(3,7),(4,2),(5,6),(5,7),(6,1),(6,4)],8)
[6,1,7,4,8,5,3,2]=>([(0,7),(1,3),(1,4),(1,5),(1,7),(5,2),(5,6),(7,6)],8)
[5,7,4,1,3,6,8,2]=>([(0,7),(1,5),(1,7),(2,3),(2,4),(4,7),(5,6),(7,6)],8)
[7,4,3,1,6,5,8,2]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[8,6,1,7,5,3,2,4]=>([(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[7,8,1,4,6,5,3,2]=>([(0,6),(1,4),(1,5),(1,7),(7,2),(7,3)],8)
[7,8,6,1,4,5,3,2]=>([(1,6),(2,4),(2,5),(2,7),(7,3)],8)
[6,2,7,3,8,5,4,1]=>([(1,6),(2,3),(2,6),(3,4),(3,5),(3,7),(6,7)],8)
[1,2,7,5,3,4,8,6]=>([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,3),(5,1),(5,2),(5,4)],8)
[7,2,8,3,6,4,5,1]=>([(1,7),(2,6),(2,7),(5,4),(6,3),(6,5)],8)
[6,2,7,8,3,1,4,5]=>([(0,7),(1,6),(2,3),(2,6),(3,7),(6,5),(7,4)],8)
[1,7,8,2,5,3,4,6]=>([(0,5),(0,6),(2,7),(3,7),(4,3),(5,1),(6,2),(6,4)],8)
[1,2,8,7,3,4,6,5]=>([(0,7),(5,6),(6,3),(6,4),(7,1),(7,2),(7,5)],8)
[8,2,7,4,5,1,6,3]=>([(1,6),(1,7),(2,3),(2,4),(2,6),(4,5),(5,7)],8)
[3,8,1,5,7,2,6,4]=>([(0,4),(0,7),(1,3),(1,6),(1,7),(4,5),(4,6),(7,2),(7,5)],8)
[7,5,4,8,6,1,2,3]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5)],8)
[7,1,8,6,4,5,2,3]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(5,3),(6,2)],8)
[8,7,5,1,4,3,6,2]=>([(2,7),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[6,8,4,3,1,7,2,5]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,7),(5,6)],8)
[8,4,1,3,7,5,6,2]=>([(1,6),(1,7),(2,4),(2,5),(5,6),(5,7),(7,3)],8)
[4,8,1,3,7,5,6,2]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(4,6),(4,7),(7,2)],8)
[2,1,6,8,5,3,4,7]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,7),(4,7),(5,3),(6,2),(6,7)],8)
[4,5,1,3,8,6,7,2]=>([(0,5),(1,3),(1,4),(4,6),(4,7),(5,6),(5,7),(7,2)],8)
[1,2,6,8,5,3,4,7]=>([(0,6),(2,7),(3,7),(4,3),(5,1),(5,7),(6,2),(6,4),(6,5)],8)
[5,6,8,7,3,1,2,4]=>([(0,7),(1,5),(2,6),(5,7),(6,3),(6,4)],8)
[6,7,5,3,8,1,2,4]=>([(0,7),(1,6),(1,7),(2,4),(3,5),(4,7),(5,6)],8)
[6,8,5,7,3,1,2,4]=>([(0,7),(1,6),(2,5),(3,4),(3,6),(5,7)],8)
[5,1,4,2,6,8,7,3]=>([(0,7),(1,3),(1,6),(3,7),(6,2),(6,7),(7,4),(7,5)],8)
[6,3,2,4,7,1,8,5]=>([(0,4),(1,4),(2,7),(3,5),(3,6),(4,6),(4,7),(7,5)],8)
[1,5,8,6,2,4,3,7]=>([(0,5),(0,6),(2,7),(3,7),(4,7),(5,2),(5,3),(6,1),(6,4)],8)
[5,1,8,6,2,4,3,7]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(3,7),(4,2),(4,3),(6,7)],8)
[5,8,6,3,7,1,2,4]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(4,6),(5,7)],8)
[5,7,6,3,8,1,2,4]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(3,7),(4,7),(5,6)],8)
[6,8,7,5,3,1,2,4]=>([(1,7),(2,6),(3,4),(3,5),(6,7)],8)
[1,2,5,3,6,8,7,4]=>([(0,6),(2,7),(5,1),(5,7),(6,2),(6,5),(7,3),(7,4)],8)
[6,8,7,2,1,5,3,4]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(7,3)],8)
[7,3,6,1,4,8,2,5]=>([(0,7),(1,3),(1,5),(2,4),(2,5),(3,6),(4,7),(5,6),(5,7)],8)
[7,8,1,6,5,3,4,2]=>([(0,6),(1,3),(1,4),(1,5),(1,7),(7,2)],8)
[8,7,3,2,1,4,6,5]=>([(2,7),(3,7),(4,7),(7,5),(7,6)],8)
[8,3,5,1,7,4,2,6]=>([(1,4),(1,5),(2,3),(2,5),(2,6),(3,7),(4,6),(4,7),(5,7)],8)
[3,5,6,8,4,2,7,1]=>([(1,7),(2,4),(2,5),(4,7),(5,6),(6,3),(6,7)],8)
[5,8,2,6,4,3,7,1]=>([(1,3),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[2,8,6,3,4,1,7,5]=>([(0,6),(0,7),(1,2),(1,3),(1,5),(3,7),(4,6),(4,7),(5,4)],8)
[1,7,2,3,5,8,6,4]=>([(0,3),(0,5),(3,7),(4,2),(4,7),(5,6),(6,1),(6,4)],8)
[2,8,3,7,5,1,6,4]=>([(0,6),(0,7),(1,3),(1,5),(4,6),(5,2),(5,4),(5,7)],8)
[6,4,8,7,2,1,5,3]=>([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7)],8)
[1,8,2,3,7,5,6,4]=>([(0,4),(0,6),(5,3),(6,7),(7,1),(7,2),(7,5)],8)
[2,8,4,3,6,7,1,5]=>([(0,7),(1,2),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[7,3,2,5,6,1,8,4]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(4,7),(5,4)],8)
[1,6,7,8,2,4,3,5]=>([(0,5),(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3)],8)
[4,1,2,8,5,3,7,6]=>([(0,3),(1,4),(1,7),(2,5),(2,6),(3,2),(3,4),(3,7),(7,5),(7,6)],8)
[3,8,4,2,5,1,7,6]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(4,7),(7,5),(7,6)],8)
[1,8,5,6,4,3,2,7]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(3,7),(4,7),(5,7),(6,1)],8)
[2,8,3,5,6,4,1,7]=>([(0,7),(1,2),(1,6),(3,7),(4,7),(5,4),(6,3),(6,5)],8)
[7,6,8,3,2,5,1,4]=>([(0,7),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[2,7,1,4,5,3,8,6]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,7),(3,4),(3,7),(5,3),(6,4),(6,7)],8)
[1,5,2,7,4,3,6,8]=>([(0,3),(0,4),(1,7),(2,7),(3,5),(3,7),(4,1),(4,2),(4,5),(5,6),(7,6)],8)
[5,1,3,8,4,6,2,7]=>([(0,6),(0,7),(1,2),(1,4),(2,5),(3,6),(4,3),(4,7),(6,5)],8)
[6,5,8,7,1,3,2,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,7),(4,7)],8)
[2,7,3,5,1,6,8,4]=>([(0,6),(0,7),(1,2),(1,4),(2,5),(3,6),(4,3),(4,7),(6,5)],8)
[5,7,6,8,2,1,4,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,7),(4,7)],8)
[1,3,6,5,2,7,4,8]=>([(0,3),(0,4),(1,7),(2,7),(3,5),(3,7),(4,1),(4,2),(4,5),(5,6),(7,6)],8)
[1,2,6,5,3,4,7,8]=>([(0,6),(1,7),(2,7),(3,7),(5,3),(6,1),(6,2),(6,5),(7,4)],8)
[1,7,2,5,6,8,3,4]=>([(0,3),(0,6),(2,7),(3,7),(4,1),(5,2),(6,4),(6,5)],8)
[1,7,2,4,8,3,5,6]=>([(0,4),(0,5),(2,7),(3,6),(3,7),(4,6),(5,2),(5,3),(7,1)],8)
[1,6,2,4,5,3,7,8]=>([(0,4),(0,6),(1,7),(2,7),(4,7),(5,2),(6,1),(6,5),(7,3)],8)
[1,3,2,8,4,5,7,6]=>([(0,3),(0,4),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(7,5)],8)
[1,6,8,2,4,3,5,7]=>([(0,4),(0,5),(2,6),(3,6),(4,1),(4,7),(5,2),(5,3),(6,7)],8)
[1,6,7,2,5,3,4,8]=>([(0,5),(0,6),(1,7),(2,7),(3,7),(4,3),(5,1),(6,2),(6,4)],8)
[1,2,8,3,6,7,4,5]=>([(0,7),(4,3),(5,2),(6,4),(6,5),(7,1),(7,6)],8)
[1,7,2,5,3,4,8,6]=>([(0,3),(0,5),(1,6),(1,7),(2,6),(2,7),(3,7),(4,2),(5,1),(5,4)],8)
[7,1,5,6,2,3,8,4]=>([(0,7),(1,4),(1,5),(3,7),(4,6),(5,3),(6,2),(6,7)],8)
[8,2,1,4,6,7,3,5]=>([(1,5),(1,7),(2,5),(2,7),(3,4),(5,6),(7,3),(7,6)],8)
[7,2,6,1,3,4,8,5]=>([(0,7),(1,6),(2,3),(2,6),(3,7),(4,5),(4,7),(6,4)],8)
[4,1,3,7,2,5,8,6]=>([(0,6),(0,7),(1,2),(1,3),(2,7),(3,6),(3,7),(6,5),(7,4),(7,5)],8)
[6,2,7,5,1,3,8,4]=>([(0,6),(1,5),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3),(6,7)],8)
[1,7,5,6,2,3,8,4]=>([(0,3),(0,5),(0,6),(2,7),(3,7),(4,1),(4,7),(5,2),(6,4)],8)
[3,7,6,1,2,4,8,5]=>([(0,5),(1,2),(1,3),(1,6),(2,7),(3,7),(5,6),(6,4),(6,7)],8)
[8,6,1,3,5,7,2,4]=>([(1,6),(2,3),(2,4),(3,7),(4,5),(4,7),(5,6)],8)
[1,7,4,3,8,2,5,6]=>([(0,2),(0,3),(0,4),(0,5),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(7,1)],8)
[6,1,5,3,4,8,2,7]=>([(0,6),(0,7),(1,2),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,3)],8)
[3,6,7,5,2,8,1,4]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(2,6),(3,7),(4,5),(5,7)],8)
[7,8,4,1,5,6,2,3]=>([(0,7),(1,5),(2,6),(2,7),(6,3),(7,4)],8)
[5,8,1,3,6,7,2,4]=>([(0,5),(0,7),(1,3),(1,4),(3,6),(4,6),(4,7),(7,2)],8)
[2,8,4,3,7,1,5,6]=>([(0,7),(1,2),(1,4),(1,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[3,8,4,6,7,1,2,5]=>([(0,4),(1,3),(1,6),(4,7),(5,2),(6,5),(6,7)],8)
[6,3,8,4,7,1,2,5]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(3,7),(4,6),(4,7)],8)
[1,2,5,4,8,3,6,7]=>([(0,5),(1,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,3),(5,4),(7,2)],8)
[7,1,3,8,2,4,5,6]=>([(0,7),(1,3),(1,4),(3,6),(4,6),(4,7),(5,2),(6,5)],8)
[8,1,3,7,2,4,5,6]=>([(1,4),(1,5),(4,7),(5,3),(5,7),(6,2),(7,6)],8)
[3,5,4,7,8,1,2,6]=>([(0,5),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(5,7),(6,4)],8)
[8,3,1,4,7,2,5,6]=>([(1,6),(2,3),(2,6),(3,7),(6,5),(6,7),(7,4)],8)
[1,6,4,7,8,2,3,5]=>([(0,3),(0,4),(0,5),(2,6),(3,7),(4,6),(4,7),(5,2),(7,1)],8)
[5,2,3,6,7,8,1,4]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(4,7),(7,3)],8)
[6,2,7,3,8,5,1,4]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(3,6),(3,7),(5,7)],8)
[1,3,7,8,5,6,2,4]=>([(0,3),(0,6),(3,7),(4,2),(5,1),(6,4),(6,5),(6,7)],8)
[8,2,6,7,5,1,3,4]=>([(1,7),(2,4),(2,6),(2,7),(6,3),(7,5)],8)
[8,1,7,4,6,2,3,5]=>([(1,3),(1,5),(1,6),(4,7),(5,4),(6,2),(6,7)],8)
[2,5,8,4,7,1,3,6]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(3,7),(4,2),(4,5),(4,7),(6,7)],8)
[4,5,8,7,1,2,3,6]=>([(0,6),(1,5),(4,7),(5,4),(6,2),(6,3),(6,7)],8)
[4,1,8,5,7,2,3,6]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(3,5),(4,3),(7,2),(7,5)],8)
[1,8,7,4,6,2,3,5]=>([(0,3),(0,4),(0,5),(0,6),(2,7),(5,2),(6,1),(6,7)],8)
[2,6,5,4,1,8,3,7]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6)],8)
[6,2,5,1,4,8,3,7]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,7),(5,6),(5,7)],8)
[6,5,4,1,3,8,2,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[6,3,5,4,2,8,1,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,8,7,4,2,6,5]=>([(0,4),(0,5),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,3)],8)
[8,7,4,3,1,5,2,6]=>([(2,7),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[8,2,5,1,4,6,7,3]=>([(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(6,7),(7,4)],8)
[3,8,4,5,1,6,7,2]=>([(0,5),(0,7),(1,2),(1,6),(3,7),(6,3),(7,4)],8)
[8,5,4,1,3,6,7,2]=>([(1,7),(2,7),(3,4),(3,5),(5,7),(7,6)],8)
[8,3,1,7,5,6,4,2]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[8,4,7,6,5,3,1,2]=>([(2,7),(3,4),(3,5),(3,6)],8)
[8,1,4,5,7,6,3,2]=>([(1,4),(1,5),(1,6),(6,7),(7,2),(7,3)],8)
[2,4,1,8,5,7,6,3]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(4,5),(4,7),(7,2),(7,3)],8)
[8,2,1,4,7,6,3,5]=>([(1,5),(1,7),(2,5),(2,7),(5,6),(7,3),(7,4),(7,6)],8)
[8,3,1,7,4,2,6,5]=>([(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(7,4),(7,5)],8)
[8,2,7,3,1,6,5,4]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(4,5),(4,6),(4,7)],8)
[1,8,4,2,3,7,6,5]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(3,5),(3,6),(3,7),(4,1)],8)
[3,1,2,8,7,4,6,5]=>([(0,5),(0,6),(0,7),(1,4),(4,5),(4,6),(4,7),(7,2),(7,3)],8)
[8,5,1,2,4,3,7,6]=>([(1,3),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,3,7,4,1,6,5]=>([(0,6),(0,7),(1,3),(1,5),(4,6),(4,7),(5,2),(5,4)],8)
[8,4,5,7,6,2,3,1]=>([(2,4),(3,5),(5,6),(5,7)],8)
[2,3,1,8,7,6,4,5]=>([(0,3),(1,4),(1,5),(1,6),(1,7),(3,4),(3,5),(3,6),(3,7),(7,2)],8)
[4,2,8,7,3,1,5,6]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,7),(7,4)],8)
[1,3,4,8,7,2,5,6]=>([(0,4),(0,5),(4,7),(5,6),(6,1),(6,2),(6,7),(7,3)],8)
[8,1,3,4,6,7,2,5]=>([(1,3),(1,5),(3,7),(4,2),(5,6),(6,4),(6,7)],8)
[3,4,8,2,6,7,1,5]=>([(0,7),(1,6),(1,7),(2,3),(3,5),(3,6),(3,7),(6,4)],8)
[3,6,8,2,5,1,7,4]=>([(0,6),(0,7),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,7),(5,7)],8)
[3,8,2,5,7,4,6,1]=>([(1,5),(1,7),(2,4),(2,5),(2,7),(5,6),(7,3),(7,6)],8)
[8,4,2,1,7,5,6,3]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[8,2,7,5,6,4,1,3]=>([(1,7),(2,4),(2,5),(2,6),(2,7),(6,3)],8)
[6,2,8,5,4,1,7,3]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7)],8)
[6,8,5,4,1,7,2,3]=>([(0,7),(1,7),(2,4),(2,7),(3,5),(3,7),(5,6)],8)
[2,8,1,5,7,6,3,4]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(6,5),(7,2),(7,3)],8)
[3,1,8,2,7,5,6,4]=>([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(3,4),(3,5),(3,6),(6,2)],8)
[8,5,7,1,6,4,2,3]=>([(1,5),(1,7),(2,4),(2,6),(2,7),(6,3)],8)
[2,8,4,7,3,6,5,1]=>([(1,3),(1,4),(1,5),(4,6),(4,7),(5,2),(5,6),(5,7)],8)
[8,4,7,2,1,6,5,3]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)
[1,8,4,7,6,5,2,3]=>([(0,5),(0,6),(0,7),(6,4),(7,1),(7,2),(7,3)],8)
[3,5,8,1,7,4,6,2]=>([(0,3),(0,6),(0,7),(1,4),(1,7),(4,2),(4,5),(4,6),(7,5)],8)
[8,4,7,1,3,6,5,2]=>([(1,4),(1,6),(1,7),(2,3),(2,5),(5,6),(5,7)],8)
[2,3,4,7,6,8,1,5]=>([(0,7),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3),(5,7)],8)
[3,8,1,2,5,6,4,7]=>([(0,4),(1,3),(1,6),(1,7),(2,5),(4,6),(4,7),(6,5),(7,2)],8)
[3,7,1,2,5,6,4,8]=>([(0,4),(1,3),(1,5),(1,6),(2,7),(3,7),(4,5),(4,6),(5,7),(6,2)],8)
[8,5,2,1,4,6,7,3]=>([(1,7),(2,5),(2,6),(3,5),(3,6),(6,7),(7,4)],8)
[4,8,1,6,5,2,7,3]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(4,2),(4,7),(5,7),(6,7)],8)
[4,2,6,3,8,5,7,1]=>([(1,3),(1,7),(2,6),(2,7),(3,5),(3,6),(6,4),(7,4),(7,5)],8)
[4,5,2,6,7,1,8,3]=>([(0,5),(0,7),(1,5),(1,6),(2,3),(3,7),(4,6),(7,4)],8)
[8,3,5,4,2,7,1,6]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,6,4,7,3,1,5]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(3,7),(4,6),(5,6),(5,7)],8)
[3,1,8,6,5,2,7,4]=>([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,7),(5,7),(6,7)],8)
[8,3,1,5,2,6,7,4]=>([(1,5),(1,6),(2,4),(2,5),(4,6),(4,7),(5,7),(7,3)],8)
[3,8,2,4,1,5,7,6]=>([(0,7),(1,6),(2,5),(2,6),(6,7),(7,3),(7,4)],8)
[5,8,3,2,4,1,7,6]=>([(0,6),(0,7),(1,5),(2,5),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
[7,2,6,8,4,3,5,1]=>([(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6)],8)
[6,5,3,2,4,8,1,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8)
[5,2,4,6,1,3,8,7]=>([(0,7),(1,6),(2,3),(2,7),(3,6),(6,4),(6,5),(7,4),(7,5)],8)
[7,2,3,4,6,8,1,5]=>([(0,3),(1,6),(2,7),(3,5),(4,6),(5,4),(5,7)],8)
[8,3,4,6,7,5,1,2]=>([(1,5),(2,7),(6,4),(7,3),(7,6)],8)
[6,8,3,4,7,5,2,1]=>([(2,5),(3,4),(3,7),(5,6),(5,7)],8)
[5,8,6,1,3,4,7,2]=>([(0,3),(0,5),(1,4),(1,6),(2,7),(5,7),(6,2)],8)
[4,8,1,5,7,6,3,2]=>([(0,6),(0,7),(1,2),(1,3),(1,7),(7,4),(7,5)],8)
[3,7,4,6,8,2,5,1]=>([(1,6),(2,3),(2,4),(3,7),(4,5),(4,6),(5,7)],8)
[4,7,1,6,8,3,2,5]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(4,5),(6,5)],8)
[4,5,2,8,1,7,3,6]=>([(0,4),(0,7),(1,4),(1,5),(1,7),(2,3),(3,5),(3,6),(3,7),(4,6)],8)
[3,7,5,2,8,6,1,4]=>([(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(3,7),(4,5),(4,7)],8)
[4,8,5,2,6,7,1,3]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(4,7),(7,5)],8)
[5,4,8,6,1,2,7,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,7),(6,7)],8)
[8,4,6,5,2,7,3,1]=>([(2,4),(2,7),(3,5),(3,6),(5,7),(6,7)],8)
[8,1,6,4,7,5,2,3]=>([(1,4),(1,5),(1,6),(4,7),(5,3),(6,2),(6,7)],8)
[5,2,7,6,4,8,1,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(5,7),(6,7)],8)
[8,6,2,3,5,1,7,4]=>([(1,7),(2,6),(2,7),(3,4),(4,5),(4,6),(5,7)],8)
[8,2,5,7,4,1,3,6]=>([(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(4,7),(6,7)],8)
[7,2,4,5,6,8,1,3]=>([(0,7),(1,6),(2,3),(2,6),(3,5),(4,7),(5,4)],8)
[7,1,3,5,6,2,8,4]=>([(0,7),(1,3),(1,5),(2,7),(3,6),(3,7),(4,2),(5,4),(5,6)],8)
[7,1,5,8,4,6,3,2]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6),(5,7)],8)
[6,3,8,4,7,1,5,2]=>([(0,5),(0,7),(1,4),(1,5),(2,3),(2,6),(4,6),(4,7)],8)
[7,1,4,3,2,8,5,6]=>([(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[5,3,6,1,4,2,8,7]=>([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,2,1,4,3,8,6]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,8,3,5,2,4,6]=>([(0,7),(1,3),(1,4),(1,7),(2,6),(3,5),(4,2),(4,5),(5,6)],8)
[7,2,4,8,1,5,6,3]=>([(0,5),(0,7),(1,6),(2,4),(2,5),(4,6),(4,7),(7,3)],8)
[7,1,8,4,2,5,6,3]=>([(0,6),(1,4),(1,5),(1,6),(4,7),(5,3),(5,7),(7,2)],8)
[6,4,2,5,8,1,7,3]=>([(0,6),(0,7),(1,5),(2,4),(2,7),(3,4),(3,5),(5,6),(5,7)],8)
[2,1,7,5,8,3,6,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(5,4),(6,2),(6,3),(7,3),(7,4)],8)
[7,3,8,5,6,2,1,4]=>([(0,7),(1,7),(2,6),(3,4),(3,6),(3,7),(4,5)],8)
[2,7,4,8,1,5,6,3]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(3,5),(4,5),(4,7),(7,2)],8)
[7,4,8,3,1,5,6,2]=>([(0,7),(1,6),(2,6),(2,7),(3,4),(3,7),(7,5)],8)
[6,1,5,8,3,7,4,2]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(4,6),(4,7),(5,2),(5,7)],8)
[2,6,3,5,8,7,4,1]=>([(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3)],8)
[8,6,5,3,7,2,1,4]=>([(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8)
[4,8,5,3,7,2,1,6]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(5,6),(5,7)],8)
[7,4,8,6,5,3,2,1]=>([(3,7),(4,5),(4,6),(4,7)],8)
[7,4,8,5,6,3,1,2]=>([(1,7),(2,4),(3,5),(3,7),(5,6)],8)
[7,8,4,1,3,5,6,2]=>([(0,7),(1,4),(2,3),(2,5),(5,7),(7,6)],8)
[7,8,3,4,1,5,6,2]=>([(0,4),(1,6),(2,5),(2,7),(6,7),(7,3)],8)
[7,3,1,8,2,5,6,4]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,7),(4,5),(4,6),(6,3)],8)
[7,2,3,8,1,5,6,4]=>([(0,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)
[6,4,8,7,3,2,1,5]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7)],8)
[2,7,4,8,6,3,1,5]=>([(0,7),(1,3),(1,4),(1,5),(3,7),(4,6),(5,2),(5,6),(5,7)],8)
[6,4,8,2,3,1,7,5]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(4,6),(4,7)],8)
[7,2,1,8,3,5,6,4]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(4,5),(6,3),(6,4)],8)
[5,1,6,3,8,2,4,7]=>([(0,7),(1,2),(1,3),(1,7),(2,6),(3,5),(3,6),(6,4),(7,4),(7,5)],8)
[3,6,5,1,4,8,7,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(5,6),(5,7)],8)
[7,3,6,2,8,4,1,5]=>([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(4,7),(5,6)],8)
[7,5,4,8,1,6,2,3]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5)],8)
[4,3,5,8,7,1,2,6]=>([(0,6),(1,6),(2,3),(3,7),(6,4),(6,5),(6,7)],8)
[3,5,6,8,1,4,2,7]=>([(0,5),(0,6),(1,3),(1,6),(3,7),(4,2),(4,7),(5,4),(6,7)],8)
[4,3,5,8,2,1,6,7]=>([(0,7),(1,7),(2,6),(3,6),(6,5),(6,7),(7,4)],8)
[6,4,7,2,3,1,5,8]=>([(0,7),(1,5),(2,5),(2,7),(3,4),(4,7),(5,6),(7,6)],8)
[6,8,1,5,4,2,7,3]=>([(0,5),(0,7),(1,3),(1,4),(1,6),(3,7),(4,7),(6,2),(6,7)],8)
[7,8,6,3,1,4,2,5]=>([(1,6),(2,4),(3,5),(3,6),(5,7),(6,7)],8)
[7,8,6,3,5,1,2,4]=>([(1,4),(2,6),(3,5),(3,7),(6,7)],8)
[7,2,8,5,4,6,3,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[6,1,8,4,7,2,3,5]=>([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(3,5),(3,6),(4,2)],8)
[5,6,4,3,7,1,8,2]=>([(0,7),(1,7),(2,5),(3,4),(3,6),(5,7),(7,6)],8)
[6,5,3,7,2,4,8,1]=>([(1,7),(2,7),(3,5),(4,5),(4,7),(5,6),(7,6)],8)
[5,6,2,8,4,3,7,1]=>([(1,5),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6),(5,7)],8)
[7,1,3,6,5,8,4,2]=>([(0,7),(1,3),(1,6),(4,7),(5,7),(6,2),(6,4),(6,5)],8)
[5,7,4,3,6,8,2,1]=>([(2,7),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[4,6,2,7,8,3,5,1]=>([(1,5),(1,7),(2,3),(2,6),(3,7),(5,6),(7,4)],8)
[5,1,2,4,6,7,8,3]=>([(0,7),(1,6),(4,7),(5,3),(6,2),(6,4),(7,5)],8)
[4,6,3,5,2,8,7,1]=>([(1,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,3,4,8,2,7,1]=>([(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,6,4,1,7,8,3]=>([(0,6),(1,5),(1,7),(2,3),(2,5),(2,6),(3,7),(6,7),(7,4)],8)
[5,8,4,6,3,2,7,1]=>([(1,7),(2,7),(3,6),(4,5),(4,6),(6,7)],8)
[5,4,3,8,6,2,7,1]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(7,5)],8)
[5,7,8,2,4,3,6,1]=>([(1,6),(1,7),(2,4),(2,5),(4,7),(5,7),(6,3)],8)
[5,6,2,4,8,3,7,1]=>([(1,5),(2,3),(2,4),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,7,8,2,3,5,1]=>([(1,6),(2,6),(2,7),(3,4),(4,7),(6,5)],8)
[3,7,5,2,4,8,1,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,5,2,3,8,6,1]=>([(1,5),(2,3),(2,4),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,7,3,2,5,8,1]=>([(1,7),(2,7),(3,5),(4,5),(4,7),(5,6),(7,6)],8)
[5,7,3,2,8,4,6,1]=>([(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)
[5,3,7,2,8,4,6,1]=>([(1,5),(1,7),(2,4),(2,6),(3,4),(3,5),(4,7),(5,6)],8)
[4,3,7,2,5,8,6,1]=>([(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(7,4),(7,6)],8)
[4,7,3,2,5,8,6,1]=>([(1,7),(2,7),(3,5),(3,7),(5,6),(7,4),(7,6)],8)
[4,7,3,2,6,8,5,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(7,5)],8)
[7,5,3,2,6,4,8,1]=>([(1,7),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,5,2,6,7,3,4,1]=>([(2,7),(3,4),(3,7),(4,6),(7,5)],8)
[8,4,2,6,3,7,5,1]=>([(2,5),(2,6),(3,4),(3,5),(4,6),(4,7),(5,7)],8)
[7,4,6,2,3,8,5,1]=>([(1,7),(2,5),(3,4),(3,6),(4,7),(5,6),(5,7)],8)
[7,5,6,2,8,3,4,1]=>([(1,7),(2,5),(3,4),(3,7),(4,6),(5,7)],8)
[5,7,6,2,8,3,4,1]=>([(1,6),(1,7),(2,4),(2,5),(4,7),(5,7),(6,3)],8)
[4,7,6,2,3,8,5,1]=>([(1,5),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6),(5,7)],8)
[7,6,3,2,5,8,1,4]=>([(0,7),(1,7),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7)],8)
[7,6,4,2,5,8,3,1]=>([(1,7),(2,7),(3,6),(4,5),(4,6),(6,7)],8)
[6,3,8,5,4,7,2,1]=>([(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[2,4,6,3,8,7,5,1]=>([(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,2),(4,7)],8)
[2,4,3,6,8,7,1,5]=>([(0,7),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5)],8)
[2,4,6,3,8,7,1,5]=>([(0,7),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,2),(4,7)],8)
[2,4,6,5,8,7,1,3]=>([(0,7),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],8)
[2,4,6,8,5,7,3,1]=>([(1,3),(1,6),(4,7),(5,2),(5,7),(6,4),(6,5)],8)
[2,4,6,8,5,7,1,3]=>([(0,7),(1,5),(1,7),(3,6),(4,2),(4,6),(5,3),(5,4)],8)
[2,4,6,8,3,7,1,5]=>([(0,7),(1,3),(1,4),(3,6),(3,7),(4,5),(4,7),(5,2),(5,6)],8)
[2,4,6,8,1,7,3,5]=>([(0,6),(0,7),(1,3),(1,7),(3,4),(3,5),(4,2),(4,6),(7,5)],8)
[2,4,6,5,8,3,7,1]=>([(1,2),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,3),(5,4)],8)
[2,4,6,5,8,1,7,3]=>([(0,6),(0,7),(1,4),(1,6),(2,5),(2,7),(3,5),(3,7),(4,2),(4,3)],8)
[2,4,6,8,5,1,7,3]=>([(0,6),(0,7),(1,5),(1,6),(3,7),(4,2),(4,7),(5,3),(5,4)],8)
[2,4,6,8,7,3,5,1]=>([(1,4),(1,5),(4,7),(5,6),(5,7),(6,2),(6,3)],8)
[2,4,6,8,7,1,5,3]=>([(0,6),(0,7),(1,4),(1,7),(4,5),(4,6),(5,2),(5,3)],8)
[2,4,6,8,7,1,3,5]=>([(0,7),(1,4),(1,7),(4,5),(4,6),(5,2),(5,3),(7,6)],8)
[2,4,6,8,5,1,3,7]=>([(0,6),(1,5),(1,6),(3,7),(4,2),(4,7),(5,3),(5,4),(6,7)],8)
[2,4,6,5,1,8,3,7]=>([(0,5),(0,7),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,2),(4,3),(5,6)],8)
[2,4,6,5,3,8,1,7]=>([(0,7),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3)],8)
[2,4,6,5,8,3,1,7]=>([(0,7),(1,2),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,3),(5,4)],8)
[2,4,6,8,5,3,1,7]=>([(0,7),(1,4),(1,6),(3,7),(4,7),(5,2),(5,7),(6,3),(6,5)],8)
[2,4,6,8,7,3,1,5]=>([(0,7),(1,4),(1,5),(4,7),(5,6),(5,7),(6,2),(6,3)],8)
[2,4,6,8,7,5,1,3]=>([(0,7),(1,6),(1,7),(5,3),(5,4),(6,2),(6,5)],8)
[4,8,7,5,2,1,3,6]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(5,7),(6,7)],8)
[6,1,4,7,5,8,2,3]=>([(0,7),(1,4),(1,5),(3,6),(4,2),(5,3),(5,7),(7,6)],8)
[1,8,6,5,3,2,7,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,3,5,8,2,4,7]=>([(0,2),(0,3),(0,4),(1,5),(1,7),(2,6),(3,5),(3,7),(4,1),(4,6),(6,7)],8)
[4,6,1,7,8,5,3,2]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(1,7),(5,7),(7,2)],8)
[6,1,2,7,8,4,5,3]=>([(0,7),(1,6),(5,3),(6,2),(6,5),(6,7),(7,4)],8)
[6,1,3,2,7,8,5,4]=>([(0,7),(1,3),(1,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,2)],8)
[5,6,3,1,7,4,8,2]=>([(0,5),(0,7),(1,4),(2,3),(2,5),(2,7),(4,7),(5,6),(7,6)],8)
[4,8,3,7,1,6,5,2]=>([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7)],8)
[8,7,2,6,5,1,4,3]=>([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[5,8,3,2,1,7,6,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)
[5,4,3,8,1,7,6,2]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)
[6,5,3,8,7,1,4,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5)],8)
[4,3,8,2,7,6,5,1]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[4,8,2,7,6,5,3,1]=>([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7)],8)
[7,8,2,6,5,4,1,3]=>([(0,7),(1,6),(2,3),(2,4),(2,5),(2,7)],8)
[3,8,7,6,2,5,1,4]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[4,8,3,7,2,1,6,5]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[8,6,3,1,7,5,4,2]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[8,6,3,7,1,5,4,2]=>([(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)
[4,8,3,7,6,2,5,1]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[5,8,2,7,6,4,1,3]=>([(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7)],8)
[8,4,2,1,7,6,5,3]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,6,4,2,5,3,7,8]=>([(0,3),(0,4),(0,5),(1,7),(3,7),(4,6),(5,1),(5,6),(6,7),(7,2)],8)
[1,8,6,2,7,3,4,5]=>([(0,2),(0,3),(0,6),(3,7),(4,5),(5,1),(6,4),(6,7)],8)
[1,6,3,2,4,5,7,8]=>([(0,3),(0,4),(0,5),(2,7),(3,6),(4,6),(5,7),(6,2),(7,1)],8)
[1,5,2,6,4,3,7,8]=>([(0,4),(0,5),(1,7),(2,7),(4,6),(5,1),(5,2),(5,6),(6,7),(7,3)],8)
[1,5,2,4,6,3,7,8]=>([(0,4),(0,5),(2,7),(3,6),(4,6),(5,2),(5,3),(6,7),(7,1)],8)
[1,8,6,2,3,7,4,5]=>([(0,2),(0,3),(0,6),(3,7),(4,1),(5,4),(5,7),(6,5)],8)
[1,5,2,8,6,3,4,7]=>([(0,2),(0,4),(1,7),(2,5),(2,6),(3,1),(4,3),(4,5),(4,6),(6,7)],8)
[1,3,6,8,2,7,4,5]=>([(0,3),(0,5),(3,6),(3,7),(4,2),(4,6),(5,4),(5,7),(7,1)],8)
[1,4,3,8,2,5,6,7]=>([(0,2),(0,3),(0,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(7,5)],8)
[1,7,2,3,8,5,4,6]=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,5),(5,1),(5,2),(5,7)],8)
[1,3,8,4,2,5,6,7]=>([(0,4),(0,6),(3,7),(4,7),(5,2),(6,1),(6,3),(7,5)],8)
[1,6,2,8,5,4,3,7]=>([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(4,7),(5,1),(5,2),(5,3),(5,6)],8)
[1,7,2,3,8,6,4,5]=>([(0,3),(0,5),(3,7),(4,2),(5,6),(6,1),(6,4),(6,7)],8)
[1,5,3,8,2,7,4,6]=>([(0,1),(0,2),(0,3),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(5,6)],8)
[1,4,8,2,5,6,3,7]=>([(0,4),(0,5),(2,6),(3,6),(4,3),(4,7),(5,1),(5,7),(7,2)],8)
[1,5,7,3,2,8,4,6]=>([(0,2),(0,3),(0,4),(1,7),(2,5),(2,7),(3,5),(3,7),(4,1),(4,6),(5,6)],8)
[1,2,7,3,6,8,4,5]=>([(0,6),(2,7),(3,7),(4,1),(5,3),(5,4),(6,2),(6,5)],8)
[1,7,2,3,6,8,4,5]=>([(0,3),(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,4)],8)
[1,4,8,3,2,5,6,7]=>([(0,3),(0,4),(0,6),(3,7),(4,7),(5,2),(6,1),(6,7),(7,5)],8)
[1,7,2,5,8,3,4,6]=>([(0,3),(0,5),(1,6),(2,6),(2,7),(3,7),(4,1),(5,2),(5,4)],8)
[6,2,3,5,8,1,7,4]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(3,4),(3,6),(4,5),(4,7)],8)
[5,2,4,8,1,6,7,3]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,5),(3,6),(3,7),(7,4)],8)
[2,6,4,5,7,3,1,8]=>([(0,7),(1,2),(1,4),(1,5),(2,7),(3,6),(4,6),(5,3),(6,7)],8)
[2,5,6,3,4,7,1,8]=>([(0,7),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2),(6,7)],8)
[1,3,7,5,6,8,4,2]=>([(0,4),(0,6),(2,7),(3,7),(5,3),(6,1),(6,2),(6,5)],8)
[1,3,6,7,4,5,8,2]=>([(0,3),(0,6),(1,7),(2,7),(4,2),(5,1),(6,4),(6,5)],8)
[1,5,6,3,4,2,7,8]=>([(0,4),(0,5),(0,6),(1,7),(2,7),(4,7),(5,2),(6,1),(7,3)],8)
[1,5,3,6,4,2,7,8]=>([(0,3),(0,4),(0,5),(1,7),(3,7),(4,6),(5,1),(5,6),(6,7),(7,2)],8)
[1,5,3,7,4,6,2,8]=>([(0,2),(0,3),(0,4),(1,5),(2,7),(3,5),(3,6),(4,1),(4,6),(5,7),(6,7)],8)
[1,5,7,3,6,4,8,2]=>([(0,3),(0,4),(0,5),(1,7),(2,7),(4,2),(4,6),(5,1),(5,6),(6,7)],8)
[2,5,7,4,1,3,8,6]=>([(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(3,7),(4,2),(4,7),(5,6),(5,7)],8)
[6,7,3,1,8,5,2,4]=>([(0,5),(0,6),(0,7),(1,4),(2,3),(2,5),(2,7),(3,6),(4,7)],8)
[4,6,3,5,8,2,1,7]=>([(0,7),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,4,8,6,3,1,5]=>([(0,7),(1,6),(2,3),(2,4),(3,7),(4,5),(4,6),(4,7)],8)
[7,4,5,2,1,8,6,3]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,6),(4,7)],8)
[4,7,5,2,1,8,6,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,7),(4,6),(4,7)],8)
[8,5,3,6,2,1,7,4]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(4,6),(5,7)],8)
[4,5,7,3,1,2,8,6]=>([(0,6),(0,7),(1,3),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
[4,5,1,8,3,2,7,6]=>([(0,4),(1,2),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,7,4,6,3,2,1,8]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[3,6,1,2,4,8,7,5]=>([(0,3),(1,4),(1,7),(3,7),(4,5),(4,6),(7,2),(7,5),(7,6)],8)
[2,5,3,8,4,1,7,6]=>([(0,6),(0,7),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,2),(4,5)],8)
[7,5,2,3,1,8,6,4]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[6,3,1,2,4,8,7,5]=>([(0,7),(1,5),(1,6),(2,3),(3,7),(7,4),(7,5),(7,6)],8)
[4,7,5,2,3,6,1,8]=>([(0,7),(1,5),(2,3),(2,4),(3,7),(4,6),(5,6),(6,7)],8)
[3,6,8,4,5,1,2,7]=>([(0,4),(1,5),(1,6),(3,7),(4,7),(5,3),(6,2),(6,7)],8)
[5,2,3,7,6,4,1,8]=>([(0,7),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[6,2,7,3,5,4,1,8]=>([(0,7),(1,6),(2,3),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[7,2,6,5,3,4,1,8]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[8,2,6,5,4,1,3,7]=>([(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[6,2,8,4,5,1,3,7]=>([(0,6),(1,5),(1,7),(2,3),(2,5),(2,6),(3,4),(4,7),(6,7)],8)
[2,3,1,7,8,5,6,4]=>([(0,5),(0,6),(0,7),(1,2),(2,5),(2,6),(2,7),(6,4),(7,3)],8)
[7,2,8,5,1,4,3,6]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(5,7),(6,7)],8)
[8,6,7,1,4,2,3,5]=>([(1,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)
[6,8,7,1,4,3,2,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,7),(3,7),(4,7)],8)
[6,8,2,5,3,1,4,7]=>([(0,6),(1,3),(1,7),(2,4),(2,5),(4,7),(5,6),(6,7)],8)
[3,7,8,5,1,4,2,6]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(3,7),(4,7),(5,2),(6,7)],8)
[4,8,7,3,1,2,5,6]=>([(0,7),(1,5),(2,3),(2,4),(2,7),(5,7),(7,6)],8)
[4,8,6,2,3,1,5,7]=>([(0,7),(1,4),(2,3),(2,5),(2,7),(4,7),(5,6),(7,6)],8)
[3,8,5,4,2,1,6,7]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(4,7),(5,7),(7,6)],8)
[4,5,3,8,2,1,6,7]=>([(0,7),(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)
[3,7,4,1,8,2,6,5]=>([(0,4),(0,7),(1,2),(1,3),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8)
[3,8,4,1,7,6,2,5]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(3,5),(3,6),(3,7),(4,5)],8)
[3,7,2,1,8,4,6,5]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(3,7),(6,4),(6,5)],8)
[8,7,1,6,5,2,3,4]=>([(2,4),(2,5),(2,7),(6,3),(7,6)],8)
[8,5,1,2,7,6,3,4]=>([(1,3),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4)],8)
[3,8,2,1,7,6,4,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[3,5,7,8,2,4,6,1]=>([(1,6),(2,3),(2,6),(3,5),(3,7),(5,4),(6,7)],8)
[7,8,2,5,4,3,6,1]=>([(1,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[4,5,3,7,8,2,6,1]=>([(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5)],8)
[1,5,4,7,3,6,2,8]=>([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,7,3,6,8,4,5,2]=>([(0,3),(0,4),(0,6),(2,7),(4,7),(5,1),(6,2),(6,5)],8)
[4,6,8,2,7,3,5,1]=>([(1,3),(1,7),(2,4),(2,6),(3,6),(4,5),(4,7)],8)
[4,7,6,3,5,1,8,2]=>([(0,6),(1,3),(1,7),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[7,8,3,6,1,5,4,2]=>([(0,5),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7)],8)
[2,5,7,8,4,6,1,3]=>([(0,7),(1,3),(1,5),(1,7),(3,6),(4,2),(5,4),(5,6)],8)
[3,7,5,6,2,1,4,8]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(5,7),(6,7)],8)
[6,2,1,7,4,5,3,8]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,3),(6,7)],8)
[1,2,6,4,7,5,3,8]=>([(0,5),(1,7),(2,7),(3,6),(4,2),(4,6),(5,1),(5,3),(5,4),(6,7)],8)
[7,5,6,3,8,4,2,1]=>([(2,7),(3,6),(4,5),(4,7),(6,7)],8)
[8,5,4,2,1,6,7,3]=>([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[2,6,8,4,7,5,1,3]=>([(0,7),(1,4),(1,5),(1,7),(4,3),(4,6),(5,2),(5,6)],8)
[6,7,5,1,4,8,3,2]=>([(0,7),(1,6),(2,3),(2,4),(2,5),(5,7),(6,7)],8)
[7,4,1,6,5,3,8,2]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[5,8,2,7,3,6,4,1]=>([(1,4),(1,6),(2,3),(2,6),(2,7),(4,5),(4,7)],8)
[1,6,5,7,3,8,4,2]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,7),(6,7)],8)
[1,5,6,8,4,2,7,3]=>([(0,3),(0,5),(0,6),(3,7),(4,2),(4,7),(5,4),(6,1),(6,7)],8)
[7,5,4,1,8,2,6,3]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6)],8)
[6,4,1,8,2,7,5,3]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(3,4),(3,5),(3,7)],8)
[7,8,5,3,2,6,1,4]=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5)],8)
[8,2,5,1,7,6,4,3]=>([(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7)],8)
[6,7,4,3,8,2,5,1]=>([(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(5,7)],8)
[3,4,2,7,8,6,1,5]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(6,3)],8)
[7,8,6,1,4,3,2,5]=>([(1,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[2,4,7,8,6,1,3,5]=>([(0,7),(1,5),(1,7),(4,3),(5,2),(5,4),(5,6),(7,6)],8)
[3,7,8,6,5,2,4,1]=>([(1,7),(2,4),(2,5),(2,6),(2,7),(6,3)],8)
[4,5,2,7,8,6,3,1]=>([(1,5),(2,3),(2,6),(2,7),(5,6),(5,7),(7,4)],8)
[4,6,2,5,3,1,7,8]=>([(0,7),(1,4),(1,6),(2,3),(2,6),(3,7),(4,7),(6,7),(7,5)],8)
[4,1,5,6,3,2,7,8]=>([(0,6),(1,2),(1,3),(1,6),(2,7),(3,7),(5,7),(6,5),(7,4)],8)
[2,6,7,5,4,1,3,8]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,2),(6,7)],8)
[4,1,6,7,5,3,2,8]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2)],8)
[6,7,4,3,1,5,2,8]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[1,7,5,6,4,3,2,8]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1)],8)
[7,6,5,3,1,8,4,2]=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,8,6,4,3,1,5,2]=>([(1,7),(2,7),(3,6),(4,5),(4,7)],8)
[4,1,7,8,6,5,3,2]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8)
[4,5,7,3,8,6,1,2]=>([(0,6),(0,7),(1,3),(2,4),(4,5),(4,7),(5,6)],8)
[6,8,5,3,7,2,1,4]=>([(0,6),(1,6),(2,7),(3,6),(3,7),(4,5),(4,7)],8)
[4,7,1,5,8,2,6,3]=>([(0,3),(0,7),(1,4),(1,7),(3,5),(4,2),(4,6),(7,5),(7,6)],8)
[2,7,5,8,3,6,4,1]=>([(1,3),(1,4),(1,5),(3,6),(4,6),(4,7),(5,2),(5,7)],8)
[7,4,8,2,6,5,3,1]=>([(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)
[7,5,4,8,2,6,3,1]=>([(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7)],8)
[4,3,8,1,6,5,2,7]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(5,7),(6,7)],8)
[2,3,6,5,7,8,1,4]=>([(0,6),(1,5),(3,7),(4,7),(5,3),(5,4),(5,6),(7,2)],8)
[8,3,4,1,2,6,7,5]=>([(1,5),(2,4),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[7,3,4,8,5,2,1,6]=>([(0,7),(1,7),(2,6),(3,4),(4,5),(4,6),(5,7)],8)
[7,3,8,4,1,5,6,2]=>([(0,6),(1,3),(1,7),(2,4),(2,6),(4,7),(7,5)],8)
[7,2,4,5,1,8,3,6]=>([(0,7),(1,5),(1,7),(2,3),(2,5),(3,4),(4,6),(4,7),(5,6)],8)
[7,3,1,2,8,5,6,4]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(6,3)],8)
[4,8,2,3,5,7,6,1]=>([(1,6),(2,5),(2,7),(6,7),(7,3),(7,4)],8)
[4,5,2,3,8,6,7,1]=>([(1,5),(2,4),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[6,7,4,8,5,3,2,1]=>([(3,6),(4,5),(4,7),(6,7)],8)
[4,3,5,6,1,7,8,2]=>([(0,6),(1,6),(2,3),(2,7),(5,7),(6,5),(7,4)],8)
[3,5,2,6,4,7,8,1]=>([(1,5),(1,7),(2,4),(2,5),(4,7),(5,6),(6,3),(7,6)],8)
[4,1,2,8,5,7,6,3]=>([(0,6),(0,7),(1,5),(5,4),(5,6),(5,7),(7,2),(7,3)],8)
[3,1,5,6,4,7,8,2]=>([(0,5),(0,7),(1,2),(1,5),(1,7),(3,6),(5,6),(6,4),(7,3)],8)
[3,1,4,6,7,5,8,2]=>([(0,7),(1,2),(1,7),(3,6),(4,6),(5,4),(7,3),(7,5)],8)
[2,6,4,5,8,1,3,7]=>([(0,6),(1,3),(1,4),(1,6),(2,5),(2,7),(3,5),(3,7),(4,2),(6,7)],8)
[6,4,1,3,5,8,2,7]=>([(0,6),(1,5),(1,7),(2,3),(2,4),(3,6),(4,7),(6,5),(6,7)],8)
[3,4,1,7,2,6,8,5]=>([(0,3),(1,2),(1,6),(2,5),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[2,4,7,5,8,1,3,6]=>([(0,7),(1,4),(1,7),(2,5),(3,5),(3,6),(4,2),(4,3),(7,6)],8)
[3,1,6,4,8,7,5,2]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(6,4),(6,5),(7,2),(7,4),(7,5)],8)
[3,7,6,2,1,5,8,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(6,7)],8)
[4,2,6,1,3,7,8,5]=>([(0,7),(1,5),(1,6),(2,6),(2,7),(4,3),(6,4),(7,4),(7,5)],8)
[8,5,4,2,7,6,3,1]=>([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[2,8,4,6,7,1,3,5]=>([(0,7),(1,3),(1,5),(1,7),(4,2),(5,4),(5,6),(7,6)],8)
[5,8,2,1,4,6,7,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,7),(6,7),(7,3)],8)
[8,4,6,1,2,5,7,3]=>([(1,4),(2,3),(2,6),(3,7),(4,5),(4,6),(6,7)],8)
[3,7,8,4,2,6,5,1]=>([(1,6),(1,7),(2,3),(2,4),(3,5),(4,6),(4,7)],8)
[5,6,2,8,7,1,3,4]=>([(0,5),(1,5),(1,6),(1,7),(2,4),(4,6),(4,7),(5,3)],8)
[7,1,3,8,4,5,6,2]=>([(0,7),(1,3),(1,6),(4,5),(5,2),(6,4),(6,7)],8)
[7,8,1,4,3,5,6,2]=>([(0,6),(1,2),(1,3),(1,4),(3,7),(4,7),(7,5)],8)
[3,6,7,2,8,1,5,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(4,5)],8)
[2,6,7,1,3,5,8,4]=>([(0,7),(1,5),(1,7),(3,6),(4,6),(5,4),(7,2),(7,3)],8)
[3,6,7,1,8,2,5,4]=>([(0,3),(0,5),(1,4),(1,6),(1,7),(2,5),(3,6),(3,7),(4,2)],8)
[3,4,1,8,7,2,6,5]=>([(0,3),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[3,1,5,7,2,8,6,4]=>([(0,3),(0,7),(1,5),(1,7),(2,6),(3,4),(3,5),(3,6),(7,2),(7,4)],8)
[3,8,1,4,7,2,6,5]=>([(0,3),(0,7),(1,4),(1,7),(4,5),(4,6),(7,2),(7,5),(7,6)],8)
[4,8,1,3,2,7,6,5]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7)],8)
[4,1,8,3,2,7,6,5]=>([(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7)],8)
[4,3,8,1,2,7,6,5]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(3,5),(3,6),(3,7)],8)
[3,8,4,2,7,1,6,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(4,5),(4,6),(4,7)],8)
[2,8,4,3,7,6,1,5]=>([(0,7),(1,2),(1,3),(1,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,8,2,4,7,1,6,5]=>([(0,7),(1,5),(1,6),(2,4),(2,7),(7,3),(7,5),(7,6)],8)
[3,2,4,8,7,1,6,5]=>([(0,7),(1,7),(2,5),(2,6),(7,3),(7,4),(7,5),(7,6)],8)
[3,2,5,7,1,8,6,4]=>([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,6),(5,3),(5,4)],8)
[4,2,8,3,1,7,6,5]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7)],8)
[4,8,2,1,3,7,6,5]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(7,4),(7,5),(7,6)],8)
[4,2,8,1,3,7,6,5]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(7,3),(7,4),(7,5)],8)
[2,3,4,6,8,7,1,5]=>([(0,7),(1,4),(4,5),(5,6),(5,7),(6,2),(6,3)],8)
[5,6,4,7,1,2,8,3]=>([(0,6),(1,3),(2,4),(3,5),(3,7),(4,6),(6,7)],8)
[4,6,7,5,8,2,3,1]=>([(1,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)
[4,5,7,1,6,8,3,2]=>([(0,5),(1,3),(1,4),(1,6),(2,7),(5,2),(5,6),(6,7)],8)
[3,2,7,6,8,1,4,5]=>([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(4,6),(5,6),(7,3)],8)
[4,5,1,7,6,8,2,3]=>([(0,3),(1,4),(1,6),(1,7),(3,6),(3,7),(4,2),(6,5),(7,5)],8)
[6,7,2,8,3,1,4,5]=>([(0,7),(1,5),(2,3),(2,6),(3,7),(5,6),(7,4)],8)
[7,6,3,1,2,8,4,5]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5)],8)
[6,2,7,8,4,1,3,5]=>([(0,6),(1,5),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3)],8)
[6,3,7,8,4,1,2,5]=>([(0,6),(1,3),(2,4),(2,6),(3,7),(4,7),(6,5)],8)
[7,8,5,2,4,1,3,6]=>([(0,7),(1,6),(2,4),(3,5),(3,6),(5,7),(6,7)],8)
[7,6,2,3,1,8,4,5]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5)],8)
[4,2,5,1,3,7,8,6]=>([(0,7),(1,6),(2,6),(2,7),(5,3),(6,4),(6,5),(7,4),(7,5)],8)
[3,4,1,7,8,5,2,6]=>([(0,3),(1,4),(1,6),(1,7),(3,6),(3,7),(4,5),(6,5),(7,2)],8)
[4,1,3,7,8,5,2,6]=>([(0,6),(0,7),(1,3),(1,4),(3,6),(3,7),(4,5),(6,5),(7,2)],8)
[4,3,1,8,5,2,7,6]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(7,4),(7,5)],8)
[7,6,3,5,8,4,2,1]=>([(2,7),(3,7),(4,5),(4,6),(6,7)],8)
[4,5,1,3,2,7,8,6]=>([(0,5),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(7,2)],8)
[5,1,3,2,4,7,8,6]=>([(0,6),(0,7),(1,3),(1,4),(3,5),(4,5),(5,6),(5,7),(7,2)],8)
[2,3,7,8,5,4,1,6]=>([(0,7),(1,6),(3,7),(4,7),(5,2),(6,3),(6,4),(6,5)],8)
[8,3,5,6,1,7,2,4]=>([(1,4),(1,7),(2,3),(2,6),(3,7),(4,5),(5,6)],8)
[4,5,8,1,2,6,7,3]=>([(0,6),(1,5),(5,2),(5,7),(6,3),(6,7),(7,4)],8)
[5,3,6,7,8,2,1,4]=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(6,4)],8)
[1,3,4,8,6,2,7,5]=>([(0,3),(0,4),(2,6),(3,6),(3,7),(4,5),(5,1),(5,2),(5,7)],8)
[7,2,4,1,3,8,5,6]=>([(0,7),(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(6,3)],8)
[8,4,5,2,6,1,7,3]=>([(1,5),(1,7),(2,5),(2,6),(3,4),(4,7),(7,6)],8)
[4,6,8,2,3,7,5,1]=>([(1,4),(2,3),(2,6),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,7,2,3,6,1,8]=>([(0,7),(1,3),(2,4),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,7,3,4,1,5,6,8]=>([(0,7),(1,4),(1,5),(2,7),(3,6),(4,6),(5,2),(7,3)],8)
[6,7,2,3,4,8,1,5]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(5,7)],8)
[3,5,2,4,6,7,8,1]=>([(1,6),(2,3),(2,6),(3,7),(4,5),(6,7),(7,4)],8)
[4,2,6,3,5,7,8,1]=>([(1,5),(1,7),(2,4),(2,5),(4,7),(5,6),(6,3),(7,6)],8)
[1,4,8,5,6,2,7,3]=>([(0,5),(0,6),(3,7),(4,3),(5,1),(5,7),(6,2),(6,4)],8)
[2,8,7,4,5,1,6,3]=>([(0,6),(0,7),(1,2),(1,3),(1,5),(1,7),(4,6),(5,4)],8)
[1,3,8,5,2,6,7,4]=>([(0,4),(0,5),(3,7),(4,6),(4,7),(5,2),(5,3),(5,6),(7,1)],8)
[7,2,8,4,5,1,6,3]=>([(0,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(4,7)],8)
[8,6,2,4,1,5,7,3]=>([(1,6),(2,5),(2,7),(3,4),(3,5),(4,7),(7,6)],8)
[1,6,4,3,2,7,8,5]=>([(0,2),(0,3),(0,4),(0,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(7,1)],8)
[8,5,3,2,1,6,7,4]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[1,7,5,2,3,6,8,4]=>([(0,2),(0,3),(0,5),(2,7),(3,6),(4,1),(4,6),(5,4),(6,7)],8)
[7,1,5,2,3,6,8,4]=>([(0,7),(1,3),(1,4),(3,6),(4,5),(5,2),(5,6),(6,7)],8)
[8,1,2,5,3,6,7,4]=>([(1,6),(3,7),(5,2),(5,7),(6,3),(6,5),(7,4)],8)
[8,4,1,6,3,7,2,5]=>([(1,5),(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6)],8)
[6,7,5,3,8,2,1,4]=>([(0,7),(1,6),(2,6),(3,6),(3,7),(4,5),(5,7)],8)
[5,2,6,8,3,7,1,4]=>([(0,5),(1,6),(2,4),(2,5),(4,6),(4,7),(5,3),(5,7)],8)
[4,2,5,8,6,7,1,3]=>([(0,7),(1,6),(2,6),(2,7),(4,5),(7,3),(7,4)],8)
[5,8,6,3,4,1,7,2]=>([(0,6),(1,5),(1,7),(2,3),(2,4),(4,7),(6,7)],8)
[3,7,2,4,1,8,6,5]=>([(0,4),(1,5),(1,6),(1,7),(2,3),(2,4),(3,7),(4,5),(4,6),(4,7)],8)
[2,4,7,8,5,1,3,6]=>([(0,7),(1,5),(1,7),(3,6),(4,2),(5,3),(5,4),(7,6)],8)
[2,5,3,8,4,1,6,7]=>([(0,7),(1,4),(1,5),(2,7),(4,6),(4,7),(5,2),(5,6),(7,3)],8)
[3,1,7,4,5,6,2,8]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,7),(3,7),(4,2),(5,4),(6,7)],8)
[2,4,8,3,5,7,1,6]=>([(0,6),(1,4),(1,5),(4,7),(5,3),(5,7),(7,2),(7,6)],8)
[8,1,7,2,4,3,5,6]=>([(1,2),(1,6),(3,7),(4,7),(6,3),(6,4),(7,5)],8)
[1,3,8,2,4,7,5,6]=>([(0,4),(0,6),(4,7),(5,2),(6,1),(6,7),(7,3),(7,5)],8)
[1,3,7,2,4,6,5,8]=>([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,6),(6,2),(6,3)],8)
[1,7,3,2,4,6,5,8]=>([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,1),(6,2)],8)
[1,8,3,7,4,2,5,6]=>([(0,4),(0,5),(0,6),(2,7),(5,7),(6,1),(6,2),(7,3)],8)
[8,7,3,1,4,2,5,6]=>([(2,6),(3,4),(3,6),(4,7),(6,7),(7,5)],8)
[2,8,4,3,5,7,1,6]=>([(0,6),(1,3),(1,4),(1,5),(4,7),(5,7),(7,2),(7,6)],8)
[3,2,8,7,4,1,5,6]=>([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(4,3),(7,4)],8)
[3,2,1,7,4,6,5,8]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[3,2,6,5,1,7,8,4]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(7,3)],8)
[5,3,2,6,7,1,8,4]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(7,4)],8)
[3,2,8,6,7,4,1,5]=>([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(7,4)],8)
[8,4,6,2,7,3,1,5]=>([(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)
[4,3,8,6,7,2,1,5]=>([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4)],8)
[4,3,6,2,8,7,1,5]=>([(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8)
[3,8,4,7,6,5,1,2]=>([(0,6),(1,5),(1,7),(7,2),(7,3),(7,4)],8)
[7,8,4,2,6,3,5,1]=>([(1,6),(1,7),(2,4),(3,5),(3,6),(5,7)],8)
[3,2,7,8,6,4,5,1]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,4),(7,3)],8)
[3,2,7,5,6,8,4,1]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(6,3),(7,4)],8)
[5,7,8,6,3,2,4,1]=>([(1,7),(2,7),(3,4),(3,5),(5,6)],8)
[6,5,4,2,1,7,8,3]=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[5,4,2,1,7,6,3,8]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(6,5),(7,5)],8)
[4,1,6,5,2,7,8,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(4,2),(4,7),(5,7),(6,7),(7,3)],8)
[5,4,1,6,7,2,8,3]=>([(0,7),(1,7),(2,3),(2,7),(3,5),(3,6),(4,6),(7,4)],8)
[6,8,5,3,1,7,2,4]=>([(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,7),(5,6)],8)
[5,2,6,3,8,7,1,4]=>([(0,6),(1,7),(2,3),(2,7),(3,4),(3,5),(3,6),(7,4),(7,5)],8)
[8,6,1,7,3,4,2,5]=>([(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(5,7)],8)
[1,8,3,6,7,4,2,5]=>([(0,3),(0,4),(0,6),(2,7),(4,7),(5,1),(6,2),(6,5)],8)
[1,6,3,5,2,7,8,4]=>([(0,3),(0,4),(0,5),(1,7),(3,7),(4,6),(4,7),(5,1),(5,6),(7,2)],8)
[1,5,7,3,2,6,4,8]=>([(0,2),(0,3),(0,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6),(5,7),(6,7)],8)
[5,1,3,7,2,6,4,8]=>([(0,4),(0,7),(1,2),(1,3),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(7,6)],8)
[8,1,6,7,2,4,3,5]=>([(1,5),(1,6),(3,7),(4,7),(5,2),(6,3),(6,4)],8)
[6,1,4,8,2,7,3,5]=>([(0,6),(0,7),(1,3),(1,4),(2,5),(3,5),(3,6),(3,7),(4,2),(4,7)],8)
[6,2,4,8,3,7,1,5]=>([(0,6),(1,5),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,7,2,6,3,5,1,4]=>([(2,7),(3,4),(3,5),(5,6),(5,7)],8)
[8,1,7,6,5,2,3,4]=>([(1,3),(1,4),(1,5),(1,7),(6,2),(7,6)],8)
[7,1,5,6,8,2,4,3]=>([(0,7),(1,5),(1,6),(4,7),(5,4),(6,2),(6,3)],8)
[6,7,1,5,2,4,8,3]=>([(0,5),(1,4),(1,6),(3,7),(4,7),(5,7),(6,2),(6,3)],8)
[7,6,1,5,2,4,3,8]=>([(0,7),(1,7),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[7,1,6,3,5,4,2,8]=>([(0,7),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2),(6,3)],8)
[1,6,7,3,5,4,8,2]=>([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(5,3),(6,1),(6,2)],8)
[1,7,3,5,6,8,4,2]=>([(0,3),(0,4),(0,6),(2,7),(4,7),(5,2),(6,1),(6,5)],8)
[1,7,8,3,6,4,5,2]=>([(0,4),(0,6),(0,7),(5,3),(6,1),(7,2),(7,5)],8)
[1,8,7,6,4,5,2,3]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(6,2),(7,1)],8)
[8,2,7,4,6,5,1,3]=>([(1,7),(2,5),(2,6),(2,7),(6,3),(6,4)],8)
[2,8,5,7,6,4,1,3]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3)],8)
[7,4,5,1,6,8,3,2]=>([(0,6),(1,5),(2,3),(2,4),(2,7),(5,7),(7,6)],8)
[4,1,7,5,6,8,3,2]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(4,5),(6,5),(7,4)],8)
[5,6,7,4,3,1,8,2]=>([(0,7),(1,7),(2,5),(3,4),(3,7),(5,6),(6,7)],8)
[6,7,8,5,3,1,4,2]=>([(1,7),(2,5),(3,4),(3,7),(5,6)],8)
[1,4,6,2,5,3,7,8]=>([(0,4),(0,5),(1,7),(2,7),(4,2),(4,6),(5,1),(5,6),(6,7),(7,3)],8)
[1,6,3,2,5,4,7,8]=>([(0,2),(0,3),(0,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7),(7,1)],8)
[1,6,8,2,5,4,7,3]=>([(0,5),(0,6),(3,7),(4,7),(5,2),(5,7),(6,1),(6,3),(6,4)],8)
[1,5,4,2,6,3,7,8]=>([(0,3),(0,4),(0,5),(1,6),(3,7),(4,7),(5,1),(5,7),(6,2),(7,6)],8)
[1,2,6,4,3,5,7,8]=>([(0,5),(2,7),(3,6),(4,6),(5,2),(5,3),(5,4),(6,7),(7,1)],8)
[1,6,8,2,7,5,4,3]=>([(0,5),(0,6),(5,4),(5,7),(6,1),(6,2),(6,3),(6,7)],8)
[1,7,4,3,2,6,8,5]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(7,5)],8)
[1,5,4,7,2,6,8,3]=>([(0,2),(0,3),(0,4),(2,5),(2,7),(3,5),(3,7),(4,1),(4,7),(5,6),(7,6)],8)
[1,3,7,6,2,8,5,4]=>([(0,3),(0,4),(1,7),(2,7),(3,5),(3,6),(3,7),(4,1),(4,2),(4,5),(4,6)],8)
[1,7,6,2,8,4,3,5]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(5,7)],8)
[1,5,2,8,4,3,7,6]=>([(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,2),(4,5)],8)
[1,2,8,4,3,6,5,7]=>([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3),(5,7),(6,7)],8)
[1,2,8,5,6,3,4,7]=>([(0,6),(2,7),(3,7),(4,3),(5,2),(6,1),(6,4),(6,5)],8)
[1,7,3,5,2,8,6,4]=>([(0,2),(0,3),(0,4),(1,5),(1,7),(2,7),(3,5),(3,6),(3,7),(4,1),(4,6)],8)
[1,6,7,2,5,8,4,3]=>([(0,5),(0,6),(3,7),(4,7),(5,4),(6,1),(6,2),(6,3)],8)
[1,5,8,3,2,7,4,6]=>([(0,2),(0,3),(0,4),(2,5),(2,7),(3,5),(3,7),(4,1),(4,6),(4,7),(5,6)],8)
[1,4,5,8,2,6,3,7]=>([(0,4),(0,5),(1,7),(3,2),(3,6),(4,3),(5,1),(5,6),(6,7)],8)
[1,7,6,4,8,2,5,3]=>([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(4,7),(5,1),(5,6)],8)
[1,4,8,6,5,2,7,3]=>([(0,5),(0,6),(3,7),(4,7),(5,2),(5,7),(6,1),(6,3),(6,4)],8)
[1,3,8,2,6,5,4,7]=>([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,7,6,3,8,2,4,5]=>([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,6),(5,7),(6,1)],8)
[1,5,2,7,6,4,8,3]=>([(0,3),(0,4),(2,7),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6),(5,7),(6,7)],8)
[1,2,4,3,8,7,5,6]=>([(0,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,2),(4,3),(7,1)],8)
[1,4,3,8,7,2,5,6]=>([(0,2),(0,3),(0,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,1)],8)
[1,3,8,6,2,4,5,7]=>([(0,4),(0,5),(2,6),(3,6),(4,7),(5,1),(5,3),(5,7),(7,2)],8)
[1,3,8,5,4,2,6,7]=>([(0,5),(0,6),(2,7),(3,7),(5,7),(6,1),(6,2),(6,3),(7,4)],8)
[1,7,2,4,8,6,5,3]=>([(0,4),(0,6),(4,7),(5,2),(5,3),(5,7),(6,1),(6,5)],8)
[1,6,5,3,2,8,7,4]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,3,2,8,7,5,4,6]=>([(0,1),(0,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3),(7,3)],8)
[1,2,8,6,5,4,3,7]=>([(0,6),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4),(6,5)],8)
[8,1,3,4,6,5,2,7]=>([(1,4),(1,5),(2,7),(3,7),(4,7),(5,6),(6,2),(6,3)],8)
[8,3,1,4,6,5,2,7]=>([(1,6),(2,3),(2,6),(3,7),(4,7),(5,7),(6,4),(6,5)],8)
[5,8,3,1,2,6,4,7]=>([(0,6),(0,7),(1,4),(2,3),(2,7),(4,6),(4,7),(6,5),(7,5)],8)
[4,8,1,7,5,2,3,6]=>([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(2,5),(4,2),(7,5)],8)
[4,8,1,7,5,2,6,3]=>([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(4,2),(4,5),(7,5)],8)
[8,5,1,4,2,6,3,7]=>([(1,7),(2,3),(2,4),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[8,4,1,3,5,6,2,7]=>([(1,6),(2,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[8,5,3,2,1,6,4,7]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[8,1,5,4,2,6,3,7]=>([(1,2),(1,3),(1,5),(2,7),(3,7),(4,6),(5,4),(5,7),(7,6)],8)
[8,5,2,4,1,6,3,7]=>([(1,7),(2,5),(2,7),(3,4),(3,5),(4,7),(5,6),(7,6)],8)
[4,8,7,1,5,2,6,3]=>([(0,5),(0,7),(1,3),(1,4),(1,7),(5,2),(5,6),(7,6)],8)
[4,8,7,1,5,2,3,6]=>([(0,5),(0,7),(1,2),(1,3),(1,7),(4,6),(5,4),(7,6)],8)
[7,6,8,4,1,3,2,5]=>([(0,7),(1,6),(2,6),(3,4),(3,5),(4,7),(5,7)],8)
[7,6,8,4,1,3,5,2]=>([(0,7),(1,6),(2,6),(3,4),(3,5),(5,7)],8)
[3,8,7,5,4,1,2,6]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(4,7),(5,7),(6,7)],8)
[4,8,2,7,5,1,3,6]=>([(0,7),(1,3),(1,5),(1,6),(2,5),(2,6),(2,7),(6,4),(7,4)],8)
[7,6,8,4,1,5,2,3]=>([(0,6),(1,6),(2,7),(3,4),(3,7),(4,5)],8)
[8,7,6,1,5,2,3,4]=>([(3,4),(3,5),(5,6),(6,7)],8)
[7,1,4,8,6,3,5,2]=>([(0,7),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6),(5,7)],8)
[8,1,6,5,3,4,7,2]=>([(1,2),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,3)],8)
[8,6,2,5,3,4,7,1]=>([(2,7),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,5,1,3,4,7,2]=>([(1,7),(2,7),(3,4),(3,5),(5,6),(6,7)],8)
[8,7,5,1,3,6,2,4]=>([(2,6),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[8,7,1,5,3,6,2,4]=>([(2,3),(2,4),(2,5),(3,7),(4,6),(5,6),(5,7)],8)
[8,6,1,3,5,4,7,2]=>([(1,7),(2,3),(2,6),(4,7),(5,7),(6,4),(6,5)],8)
[7,1,4,8,3,6,5,2]=>([(0,7),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(4,7)],8)
[7,8,5,2,4,3,6,1]=>([(1,7),(2,4),(3,5),(3,6),(5,7),(6,7)],8)
[7,3,8,2,5,4,6,1]=>([(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[8,4,2,5,3,7,6,1]=>([(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,1,5,3,7,6,2]=>([(0,4),(0,7),(1,2),(1,3),(1,7),(3,5),(3,6),(7,5),(7,6)],8)
[7,4,8,2,6,3,5,1]=>([(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(4,7)],8)
[7,4,8,2,6,3,1,5]=>([(0,7),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(4,7)],8)
[8,7,3,1,6,4,2,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(6,7)],8)
[8,7,3,1,6,4,5,2]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[8,7,3,1,4,6,5,2]=>([(2,7),(3,4),(3,7),(7,5),(7,6)],8)
[8,4,3,2,7,5,6,1]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[6,4,1,7,8,5,3,2]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(7,5)],8)
[7,6,3,4,1,8,5,2]=>([(0,7),(1,7),(2,5),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
[8,7,3,1,6,2,5,4]=>([(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7)],8)
[7,8,6,4,2,5,1,3]=>([(1,7),(2,6),(3,6),(3,7),(4,5)],8)
[7,8,2,4,6,5,1,3]=>([(0,7),(1,5),(2,6),(2,7),(6,3),(6,4)],8)
[8,1,7,3,5,6,2,4]=>([(1,3),(1,4),(1,6),(4,7),(5,2),(6,5),(6,7)],8)
[8,7,5,2,4,6,1,3]=>([(2,7),(3,6),(4,5),(4,6),(5,7)],8)
[8,1,7,5,4,6,2,3]=>([(1,3),(1,4),(1,5),(1,6),(4,7),(5,7),(6,2)],8)
[8,7,3,2,6,1,5,4]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,3,1,7,6,4,2,8]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[7,5,3,2,1,6,4,8]=>([(0,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[7,6,5,3,1,4,2,8]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,8,6,4,3,2,7,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,7,6,4,2,5,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,7)],8)
[8,4,6,7,5,3,2,1]=>([(4,5),(4,6),(6,7)],8)
[1,4,8,6,7,5,3,2]=>([(0,4),(0,5),(0,7),(6,3),(7,1),(7,2),(7,6)],8)
[7,6,2,5,8,4,3,1]=>([(1,7),(2,7),(3,4),(3,5),(3,6),(6,7)],8)
[1,7,3,6,8,5,4,2]=>([(0,4),(0,5),(0,6),(3,7),(5,7),(6,1),(6,2),(6,3)],8)
[8,6,2,5,7,4,3,1]=>([(2,7),(3,4),(3,5),(3,6),(6,7)],8)
[7,1,3,6,8,5,4,2]=>([(0,7),(1,4),(1,6),(5,7),(6,2),(6,3),(6,5)],8)
[1,8,3,6,7,5,4,2]=>([(0,4),(0,5),(0,7),(6,3),(7,1),(7,2),(7,6)],8)
[8,1,7,6,4,5,3,2]=>([(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8)
[7,1,8,6,4,5,3,2]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(6,2)],8)
[1,6,2,7,4,5,3,8]=>([(0,3),(0,5),(1,7),(2,7),(3,6),(4,2),(5,1),(5,4),(5,6),(6,7)],8)
[1,8,2,6,4,3,5,7]=>([(0,4),(0,5),(1,7),(2,6),(3,6),(5,1),(5,2),(5,3),(6,7)],8)
[1,7,2,6,4,3,5,8]=>([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(5,2),(5,3),(6,7)],8)
[1,7,2,5,4,6,3,8]=>([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(5,2),(5,3),(6,7)],8)
[6,5,7,2,8,3,4,1]=>([(1,6),(2,6),(3,4),(3,7),(4,5),(6,7)],8)
[6,2,7,5,8,1,4,3]=>([(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(2,7),(3,6),(7,6)],8)
[6,7,2,5,8,1,4,3]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6),(3,7),(4,7)],8)
[6,5,7,3,8,1,4,2]=>([(0,5),(1,5),(2,6),(2,7),(3,4),(3,6),(5,7)],8)
[6,3,7,4,8,2,5,1]=>([(1,5),(2,6),(3,4),(3,5),(4,6),(4,7),(5,7)],8)
[6,3,7,4,8,1,5,2]=>([(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(4,7),(5,7)],8)
[6,2,7,4,8,1,5,3]=>([(0,7),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(7,4)],8)
[6,7,5,1,4,3,8,2]=>([(0,7),(1,6),(2,3),(2,4),(2,5),(4,7),(5,7),(6,7)],8)
[7,8,5,1,4,3,6,2]=>([(0,7),(1,4),(2,3),(2,5),(2,6),(5,7),(6,7)],8)
[7,2,1,5,3,8,6,4]=>([(0,7),(1,4),(1,6),(2,4),(2,6),(4,5),(4,7),(6,3),(6,5),(6,7)],8)
[5,8,2,7,6,1,3,4]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(7,3)],8)
[5,1,8,7,3,4,2,6]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,2)],8)
[8,2,3,6,7,1,4,5]=>([(1,7),(2,6),(5,3),(6,5),(6,7),(7,4)],8)
[4,2,3,1,5,8,6,7]=>([(0,7),(1,7),(2,4),(4,7),(6,3),(7,5),(7,6)],8)
[2,4,8,7,5,3,1,6]=>([(0,7),(1,5),(1,6),(4,7),(5,7),(6,2),(6,3),(6,4)],8)
[2,6,8,7,5,3,4,1]=>([(1,5),(1,6),(1,7),(6,4),(7,2),(7,3)],8)
[2,6,5,1,4,3,8,7]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,1,2,4,3,8,7]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,5,3,1,2,8,7]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,7,5,3,1,2,6]=>([(0,7),(1,6),(2,3),(2,4),(2,5),(5,7),(6,7)],8)
[4,6,8,7,5,3,1,2]=>([(1,6),(2,5),(2,7),(7,3),(7,4)],8)
[6,8,7,5,3,1,4,2]=>([(1,7),(2,6),(2,7),(3,4),(3,5)],8)
[8,7,5,6,3,1,4,2]=>([(2,7),(3,6),(4,5),(4,7)],8)
[8,7,3,4,6,5,1,2]=>([(2,4),(3,5),(5,6),(5,7)],8)
[2,1,4,8,7,3,6,5]=>([(0,6),(0,7),(1,6),(1,7),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8)
[4,8,7,3,1,2,6,5]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(2,6),(2,7),(5,6),(5,7)],8)
[8,7,3,4,1,2,6,5]=>([(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,3,1,6,5,2,4]=>([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7)],8)
[8,7,3,2,6,5,1,4]=>([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[2,8,7,3,4,6,5,1]=>([(1,4),(1,5),(1,6),(6,7),(7,2),(7,3)],8)
[2,8,7,3,6,5,1,4]=>([(0,7),(1,4),(1,5),(1,6),(6,2),(6,3),(6,7)],8)
[2,8,7,1,6,5,3,4]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8)
[8,7,1,2,6,5,3,4]=>([(2,7),(6,5),(7,3),(7,4),(7,6)],8)
[8,7,1,2,4,3,6,5]=>([(2,3),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,8,7,3,4,6,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,2),(4,3),(7,4)],8)
[8,7,5,1,2,4,3,6]=>([(2,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,8,7,1,4,3,6,5]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(6,4),(6,5),(7,4),(7,5)],8)
[2,8,7,3,4,1,6,5]=>([(0,6),(0,7),(1,2),(1,3),(1,5),(4,6),(4,7),(5,4)],8)
[2,8,7,5,6,3,4,1]=>([(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8)
[2,4,8,7,3,1,6,5]=>([(0,6),(0,7),(1,4),(1,5),(4,6),(4,7),(5,2),(5,3),(5,6),(5,7)],8)
[2,8,7,3,1,4,6,5]=>([(0,7),(1,2),(1,3),(1,4),(4,7),(7,5),(7,6)],8)
[2,4,3,1,8,7,5,6]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,2)],8)
[4,3,1,2,6,8,7,5]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(5,6),(5,7),(7,3),(7,4)],8)
[2,8,7,5,6,3,1,4]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(5,7),(6,2)],8)
[2,8,7,5,3,1,6,4]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(4,7),(5,6),(5,7)],8)
[2,8,7,5,3,6,4,1]=>([(1,3),(1,4),(1,5),(1,6),(5,7),(6,2),(6,7)],8)
[2,8,7,5,6,1,4,3]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(5,2)],8)
[2,6,8,7,5,1,4,3]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(5,2),(5,3)],8)
[6,8,7,5,1,2,4,3]=>([(1,7),(2,5),(2,6),(7,3),(7,4)],8)
[8,7,5,6,1,2,4,3]=>([(2,4),(3,5),(5,6),(5,7)],8)
[8,7,1,2,4,6,5,3]=>([(2,7),(6,4),(6,5),(7,3),(7,6)],8)
[2,4,8,7,3,6,5,1]=>([(1,4),(1,5),(4,6),(4,7),(5,2),(5,3),(5,6),(5,7)],8)
[8,7,2,4,3,6,5,1]=>([(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,7,1,2,6,5,3]=>([(0,5),(1,3),(1,4),(1,6),(1,7),(5,2),(5,6),(5,7)],8)
[8,7,5,3,1,2,6,4]=>([(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[8,7,5,3,6,4,1,2]=>([(2,7),(3,6),(4,5),(4,7)],8)
[8,7,1,4,3,6,5,2]=>([(2,3),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,3,4,1,6,5,2]=>([(2,5),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
[7,1,2,3,5,4,6,8]=>([(0,7),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3),(6,7)],8)
[7,1,2,6,4,5,3,8]=>([(0,7),(1,6),(2,7),(3,7),(4,7),(5,4),(6,2),(6,3),(6,5)],8)
[7,1,2,4,3,5,6,8]=>([(0,6),(1,5),(2,7),(3,7),(4,6),(5,2),(5,3),(7,4)],8)
[4,7,3,6,5,1,2,8]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[7,5,4,2,8,3,1,6]=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[8,3,6,1,5,2,4,7]=>([(1,3),(1,5),(2,4),(2,5),(2,6),(3,6),(4,7),(5,7),(6,7)],8)
[3,1,6,8,5,7,2,4]=>([(0,3),(0,6),(0,7),(1,5),(1,6),(1,7),(3,5),(6,4),(7,2),(7,4)],8)
[5,7,2,1,8,4,6,3]=>([(0,4),(0,5),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(3,7),(5,6)],8)
[7,2,8,6,4,3,1,5]=>([(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[6,3,8,7,4,2,1,5]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7)],8)
[7,6,3,2,8,4,1,5]=>([(0,6),(1,7),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[8,6,1,3,2,4,5,7]=>([(1,6),(2,3),(2,4),(3,7),(4,7),(5,6),(7,5)],8)
[5,8,3,7,4,2,1,6]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(5,7)],8)
[4,1,7,3,5,8,6,2]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(4,7),(6,5),(7,2),(7,5)],8)
[8,4,7,3,5,2,1,6]=>([(1,7),(2,7),(3,6),(4,5),(4,6),(6,7)],8)
[5,4,8,1,3,2,6,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,7),(4,7),(7,5)],8)
[4,5,8,2,1,3,6,7]=>([(0,6),(1,6),(2,4),(4,5),(4,7),(6,7),(7,3)],8)
[8,1,3,5,2,4,6,7]=>([(1,4),(1,5),(3,7),(4,6),(5,3),(5,6),(6,7),(7,2)],8)
[1,8,3,5,7,2,4,6]=>([(0,2),(0,3),(0,5),(3,6),(4,1),(4,7),(5,4),(5,6),(6,7)],8)
[8,1,4,2,7,6,3,5]=>([(1,3),(1,4),(2,5),(3,5),(3,6),(3,7),(4,2),(4,6),(4,7)],8)
[1,5,7,3,6,8,2,4]=>([(0,2),(0,3),(0,4),(1,7),(2,5),(3,5),(3,6),(4,1),(4,6),(6,7)],8)
[8,4,6,2,5,7,1,3]=>([(1,5),(2,5),(2,6),(3,4),(3,6),(4,7),(6,7)],8)
[1,3,4,7,6,8,2,5]=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,5),(5,1),(5,2),(5,7)],8)
[8,1,3,6,7,4,2,5]=>([(1,4),(1,6),(3,7),(4,7),(5,2),(6,3),(6,5)],8)
[1,2,4,7,8,5,3,6]=>([(0,6),(2,7),(3,7),(4,1),(5,3),(5,4),(6,2),(6,5)],8)
[3,1,4,7,6,8,2,5]=>([(0,7),(1,4),(1,7),(2,5),(3,5),(4,6),(7,2),(7,3),(7,6)],8)
[4,1,3,7,6,8,2,5]=>([(0,2),(0,3),(1,5),(1,6),(1,7),(2,7),(3,5),(3,6),(3,7),(5,4),(6,4)],8)
[5,1,7,3,6,8,2,4]=>([(0,2),(0,3),(0,7),(1,6),(1,7),(2,5),(3,5),(3,6),(6,4),(7,4)],8)
[6,7,8,2,4,5,1,3]=>([(0,7),(1,5),(2,6),(2,7),(5,3),(6,4)],8)
[5,8,6,2,4,7,1,3]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(4,7),(5,7)],8)
[3,8,2,6,5,7,1,4]=>([(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(4,6),(5,6)],8)
[2,8,3,6,7,4,1,5]=>([(0,7),(1,3),(1,6),(4,7),(5,2),(6,4),(6,5)],8)
[8,7,2,5,6,3,1,4]=>([(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,7,1,6,4,3,2,5]=>([(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[1,8,2,7,5,4,3,6]=>([(0,5),(0,6),(2,7),(3,7),(4,7),(6,1),(6,2),(6,3),(6,4)],8)
[3,8,1,7,5,4,2,6]=>([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(5,7),(6,7)],8)
[5,8,6,1,7,3,2,4]=>([(0,2),(0,3),(1,4),(1,5),(1,7),(3,7),(4,6),(5,6)],8)
[6,7,1,2,8,4,3,5]=>([(0,4),(1,5),(2,6),(3,6),(4,7),(5,2),(5,3),(5,7)],8)
[2,1,3,8,6,5,4,7]=>([(0,6),(1,6),(3,7),(4,7),(5,7),(6,2),(6,3),(6,4),(6,5)],8)
[8,2,1,7,5,4,3,6]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[1,3,2,8,6,5,4,7]=>([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[3,4,1,7,6,8,2,5]=>([(0,3),(1,2),(1,6),(1,7),(2,5),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[2,5,7,1,8,4,3,6]=>([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,7),(3,4),(5,7),(6,7)],8)
[3,5,7,1,6,8,2,4]=>([(0,3),(0,7),(1,4),(1,6),(2,5),(3,6),(4,2),(4,7),(7,5)],8)
[4,5,7,6,1,8,2,3]=>([(0,6),(1,5),(1,7),(3,7),(4,7),(5,2),(6,3),(6,4)],8)
[5,4,7,6,8,3,1,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(5,7),(6,7)],8)
[1,5,7,8,6,3,2,4]=>([(0,3),(0,4),(0,6),(3,7),(4,7),(5,2),(6,1),(6,5)],8)
[8,4,6,7,5,2,1,3]=>([(1,7),(2,7),(3,4),(3,5),(5,6)],8)
[8,3,7,5,6,2,1,4]=>([(1,7),(2,7),(3,4),(3,5),(3,7),(5,6)],8)
[1,4,8,6,7,3,2,5]=>([(0,3),(0,4),(0,6),(3,7),(4,7),(5,2),(6,1),(6,5),(6,7)],8)
[2,4,8,6,7,3,1,5]=>([(0,7),(1,4),(1,6),(4,7),(5,3),(6,2),(6,5),(6,7)],8)
[5,2,7,8,6,3,1,4]=>([(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(6,3)],8)
[2,3,8,7,5,4,1,6]=>([(0,7),(1,6),(4,7),(5,7),(6,2),(6,3),(6,4),(6,5)],8)
[1,3,8,7,5,4,2,6]=>([(0,5),(0,6),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4)],8)
[8,2,7,6,4,3,1,5]=>([(1,7),(2,3),(2,4),(2,5),(2,6),(5,7),(6,7)],8)
[8,1,7,6,4,3,2,5]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(4,7),(5,7),(6,7)],8)
[4,1,8,6,7,3,2,5]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(6,2)],8)
[4,8,7,5,6,2,1,3]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(6,3)],8)
[1,5,8,4,3,7,6,2]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(3,7),(4,6),(4,7),(5,1),(5,6),(5,7)],8)
[8,1,7,2,5,6,4,3]=>([(1,5),(1,7),(6,4),(7,2),(7,3),(7,6)],8)
[8,1,3,5,2,7,6,4]=>([(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,2),(4,7)],8)
[2,7,1,5,4,8,6,3]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,7),(5,3),(5,7),(6,3),(6,7)],8)
[8,6,2,4,3,7,5,1]=>([(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,1,6,7,5,8,3]=>([(0,3),(0,6),(1,4),(1,6),(1,7),(2,5),(3,4),(3,7),(4,2),(7,5)],8)
[8,1,4,5,6,3,7,2]=>([(1,2),(1,4),(1,6),(3,7),(4,7),(5,3),(6,5)],8)
[8,1,4,5,6,2,7,3]=>([(1,5),(1,6),(3,7),(4,3),(5,4),(6,2),(6,7)],8)
[8,1,4,7,6,2,5,3]=>([(1,5),(1,6),(5,4),(5,7),(6,2),(6,3),(6,7)],8)
[2,5,1,7,8,6,4,3]=>([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(3,4),(3,5),(5,2)],8)
[3,5,6,2,8,7,4,1]=>([(1,5),(1,6),(1,7),(2,3),(2,5),(3,4),(4,6),(4,7)],8)
[2,4,5,1,7,6,3,8]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[7,3,1,5,6,4,2,8]=>([(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[8,3,2,5,6,7,1,4]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(6,4)],8)
[8,4,5,3,7,6,2,1]=>([(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[3,4,5,6,2,8,1,7]=>([(0,3),(1,7),(2,6),(2,7),(3,5),(4,6),(4,7),(5,4)],8)
[3,7,4,2,8,5,1,6]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(3,7),(4,6),(4,7),(6,5)],8)
[7,3,4,1,6,8,2,5]=>([(0,5),(1,4),(2,3),(2,6),(3,7),(4,6),(4,7),(6,5)],8)
[2,6,3,1,4,7,5,8]=>([(0,7),(1,3),(1,4),(2,6),(3,7),(4,5),(5,6),(7,2),(7,5)],8)
[7,2,1,6,3,4,8,5]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(5,7),(6,3)],8)
[7,3,4,1,6,5,8,2]=>([(0,7),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6),(5,7),(6,7)],8)
[3,7,4,2,5,8,6,1]=>([(1,7),(2,4),(2,5),(4,7),(5,6),(7,3),(7,6)],8)
[2,3,5,1,4,8,7,6]=>([(0,2),(1,7),(2,3),(2,7),(3,4),(3,5),(3,6),(7,4),(7,5),(7,6)],8)
[2,7,1,3,6,8,5,4]=>([(0,7),(1,5),(1,7),(4,6),(5,6),(7,2),(7,3),(7,4)],8)
[2,7,1,3,8,4,6,5]=>([(0,7),(1,4),(1,7),(4,6),(5,2),(5,3),(7,5),(7,6)],8)
[3,8,7,1,6,2,5,4]=>([(0,4),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(4,5),(4,6)],8)
[3,8,7,1,4,5,2,6]=>([(0,5),(0,7),(1,2),(1,3),(1,7),(4,6),(5,6),(7,4)],8)
[3,7,4,2,1,8,6,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,7),(4,5),(4,6),(4,7)],8)
[4,8,5,7,2,6,3,1]=>([(1,5),(1,7),(2,4),(2,6),(6,3),(6,7)],8)
[8,4,5,7,3,2,6,1]=>([(2,7),(3,7),(4,5),(5,6),(5,7)],8)
[8,3,7,2,4,1,5,6]=>([(1,7),(2,6),(3,5),(3,6),(6,7),(7,4)],8)
[8,6,7,2,1,4,3,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(5,7),(6,7)],8)
[8,3,7,5,1,2,6,4]=>([(1,5),(2,3),(2,4),(2,6),(4,7),(5,6),(5,7)],8)
[7,3,4,6,2,1,5,8]=>([(0,7),(1,7),(2,6),(3,4),(4,5),(4,7),(5,6),(7,6)],8)
[3,7,4,6,1,5,2,8]=>([(0,4),(0,6),(1,3),(1,5),(2,7),(3,7),(4,7),(5,2),(5,6),(6,7)],8)
[3,4,7,6,1,2,8,5]=>([(0,4),(1,5),(2,7),(3,7),(4,6),(4,7),(5,2),(5,3),(5,6)],8)
[4,5,8,7,6,1,3,2]=>([(0,7),(1,5),(1,6),(7,2),(7,3),(7,4)],8)
[8,7,3,5,6,1,4,2]=>([(2,4),(2,7),(3,5),(3,7),(5,6)],8)
[8,5,2,7,6,1,3,4]=>([(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(7,4)],8)
[6,4,7,2,1,5,8,3]=>([(0,5),(1,4),(1,7),(2,4),(2,7),(3,5),(3,7),(5,6),(7,6)],8)
[8,4,2,5,1,6,7,3]=>([(1,6),(2,5),(2,7),(3,5),(3,6),(6,7),(7,4)],8)
[8,5,3,1,6,4,7,2]=>([(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(5,6),(7,6)],8)
[8,7,3,1,4,5,6,2]=>([(2,7),(3,4),(3,7),(5,6),(7,5)],8)
[8,6,4,1,7,5,2,3]=>([(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8)
[8,5,3,7,1,6,4,2]=>([(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)
[7,6,3,8,1,4,2,5]=>([(0,7),(1,7),(2,5),(2,7),(3,4),(3,5),(4,6),(5,6)],8)
[7,4,8,2,6,1,5,3]=>([(0,4),(1,5),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8)
[6,4,7,3,1,5,2,8]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[8,5,3,1,6,4,2,7]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[8,7,5,1,2,6,3,4]=>([(2,4),(3,7),(4,6),(4,7),(6,5)],8)
[8,6,4,1,2,7,5,3]=>([(1,7),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[8,7,4,1,2,5,3,6]=>([(2,7),(3,4),(4,5),(4,7),(5,6),(7,6)],8)
[6,5,3,7,4,2,1,8]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,6,3,8,4,2,5,7]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(3,7),(4,1),(4,6),(5,7)],8)
[4,7,2,5,3,6,1,8]=>([(0,7),(1,3),(1,5),(2,4),(2,5),(3,6),(4,7),(5,6),(6,7)],8)
[1,8,3,4,5,2,6,7]=>([(0,3),(0,4),(0,6),(1,7),(4,7),(5,1),(6,5),(7,2)],8)
[1,8,6,4,2,5,3,7]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(3,7),(4,6),(5,1),(5,6),(6,7)],8)
[8,2,6,4,1,5,7,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,6),(6,7)],8)
[7,8,3,4,6,1,5,2]=>([(0,4),(1,6),(2,5),(2,7),(6,3),(6,7)],8)
[4,8,7,5,3,1,6,2]=>([(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(6,7)],8)
[6,1,4,8,3,2,5,7]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,7),(3,7),(4,5),(4,7),(7,6)],8)
[4,1,8,5,3,2,6,7]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,7),(3,7),(6,7),(7,4)],8)
[8,1,6,4,2,7,3,5]=>([(1,2),(1,4),(1,5),(2,7),(3,6),(4,6),(4,7),(5,3),(5,7)],8)
[3,1,7,4,2,5,8,6]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(3,5),(5,2),(5,4),(6,5),(7,4)],8)
[1,2,7,4,3,5,6,8]=>([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(5,4),(7,3)],8)
[6,1,8,5,2,4,3,7]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,2),(5,3)],8)
[6,8,2,5,1,4,7,3]=>([(0,5),(0,6),(1,3),(1,7),(2,4),(2,5),(2,6),(4,7),(6,7)],8)
[4,5,2,1,6,8,7,3]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,7),(7,4),(7,5)],8)
[7,2,8,6,5,1,4,3]=>([(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[7,4,8,6,1,5,3,2]=>([(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7)],8)
[8,7,2,6,1,4,5,3]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[1,7,8,6,2,4,3,5]=>([(0,4),(0,5),(0,6),(2,7),(3,7),(5,1),(6,2),(6,3)],8)
[7,6,3,1,2,5,4,8]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(4,5),(4,6),(5,7),(6,7)],8)
[8,5,3,1,2,4,7,6]=>([(1,7),(2,5),(2,6),(3,4),(4,7),(7,5),(7,6)],8)
[8,2,1,6,5,3,4,7]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[3,8,1,5,6,2,4,7]=>([(0,4),(0,7),(1,3),(1,6),(1,7),(2,5),(4,6),(6,5),(7,2)],8)
[6,8,4,1,5,2,3,7]=>([(0,6),(1,3),(1,7),(2,4),(2,6),(4,5),(5,7),(6,7)],8)
[3,2,8,1,6,4,5,7]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(6,5),(7,3)],8)
[5,2,1,3,7,6,4,8]=>([(0,6),(1,6),(2,4),(2,5),(3,7),(4,7),(5,7),(6,3),(6,4),(6,5)],8)
[5,4,1,2,8,3,7,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(3,7),(4,5),(4,6)],8)
[5,8,4,1,2,3,7,6]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(2,7),(4,5),(5,6),(5,7)],8)
[7,1,2,5,3,4,6,8]=>([(0,7),(1,5),(2,6),(3,6),(4,3),(5,2),(5,4),(6,7)],8)
[1,6,7,3,2,8,4,5]=>([(0,3),(0,4),(0,5),(1,7),(3,6),(3,7),(4,6),(4,7),(5,1),(6,2)],8)
[1,8,6,3,2,7,4,5]=>([(0,2),(0,3),(0,4),(0,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,1)],8)
[1,5,3,7,2,8,4,6]=>([(0,1),(0,2),(0,3),(1,5),(1,7),(2,4),(2,6),(3,6),(3,7),(6,5),(7,4)],8)
[1,4,6,2,8,5,3,7]=>([(0,3),(0,4),(1,7),(2,5),(2,7),(3,2),(3,6),(4,1),(4,5),(4,6),(6,7)],8)
[1,5,6,2,8,4,3,7]=>([(0,4),(0,5),(1,7),(2,7),(3,6),(3,7),(4,3),(5,1),(5,2),(5,6)],8)
[3,4,8,6,5,7,2,1]=>([(2,6),(4,7),(5,7),(6,3),(6,4),(6,5)],8)
[1,2,5,7,4,6,8,3]=>([(0,5),(2,7),(3,6),(4,2),(4,6),(5,1),(5,3),(5,4),(6,7)],8)
[1,2,4,7,6,8,3,5]=>([(0,5),(1,7),(2,6),(3,6),(4,2),(4,3),(4,7),(5,1),(5,4)],8)
[3,5,8,6,1,7,2,4]=>([(0,4),(0,6),(1,5),(1,7),(3,6),(4,7),(5,2),(5,3)],8)
[2,3,7,1,8,6,4,5]=>([(0,5),(0,6),(0,7),(1,4),(3,5),(4,3),(4,6),(4,7),(7,2)],8)
[2,6,1,7,8,5,3,4]=>([(0,5),(0,6),(0,7),(1,2),(1,5),(1,7),(2,6),(6,3),(7,4)],8)
[3,2,1,6,8,4,7,5]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(6,4),(6,5),(7,3),(7,5)],8)
[4,8,3,1,6,5,7,2]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(6,5),(7,5)],8)
[1,6,8,5,4,2,7,3]=>([(0,3),(0,4),(0,5),(0,6),(3,7),(4,7),(5,2),(5,7),(6,1),(6,7)],8)
[6,5,8,4,2,1,7,3]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7)],8)
[1,7,8,6,5,4,2,3]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(6,2),(7,1)],8)
[6,8,7,4,5,1,3,2]=>([(0,3),(1,6),(1,7),(2,4),(2,5)],8)
[3,6,4,2,5,1,8,7]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[2,1,5,8,6,4,7,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(3,4),(6,2),(6,3),(7,4)],8)
[4,2,8,5,6,3,7,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(6,3)],8)
[5,7,2,3,4,6,8,1]=>([(1,4),(2,3),(2,6),(3,7),(4,5),(5,6),(6,7)],8)
[1,8,7,3,2,5,6,4]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(4,7),(5,6),(5,7),(7,1)],8)
[5,7,1,2,3,8,6,4]=>([(0,5),(1,3),(1,7),(3,6),(4,2),(4,6),(4,7),(5,4)],8)
[7,8,6,2,4,1,5,3]=>([(1,6),(1,7),(2,4),(3,5),(3,6),(5,7)],8)
[7,2,8,4,6,1,5,3]=>([(0,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,7)],8)
[7,4,6,2,8,1,5,3]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(4,7)],8)
[7,1,5,8,2,3,6,4]=>([(0,7),(1,3),(1,4),(3,6),(3,7),(4,5),(5,2),(5,6)],8)
[7,6,4,8,2,1,5,3]=>([(0,6),(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7)],8)
[6,1,8,4,2,3,5,7]=>([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(3,5),(4,2),(5,6)],8)
[7,3,6,2,1,8,5,4]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7)],8)
[1,8,6,4,2,5,7,3]=>([(0,2),(0,3),(0,4),(0,5),(3,7),(4,6),(5,1),(5,6),(6,7)],8)
[5,6,2,1,8,4,7,3]=>([(0,4),(0,5),(0,7),(1,4),(1,5),(1,7),(2,3),(3,6),(3,7),(5,6)],8)
[2,8,1,6,5,7,3,4]=>([(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(5,2),(6,4),(7,4)],8)
[5,1,6,4,3,8,7,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,6,8,1,3,7,2]=>([(0,6),(1,6),(2,3),(2,4),(4,7),(6,5),(6,7)],8)
[3,7,1,6,4,5,8,2]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(4,7),(5,7),(6,2)],8)
[3,5,2,1,4,6,7,8]=>([(0,7),(1,7),(2,3),(2,7),(3,6),(4,5),(6,4),(7,6)],8)
[1,3,8,7,5,4,6,2]=>([(0,5),(0,6),(3,7),(4,7),(6,1),(6,2),(6,3),(6,4)],8)
[6,7,3,4,8,5,1,2]=>([(0,4),(1,5),(2,6),(5,7),(6,3),(6,7)],8)
[7,4,1,8,2,5,6,3]=>([(0,7),(1,6),(1,7),(2,3),(2,7),(3,5),(3,6),(6,4)],8)
[3,1,7,2,5,6,8,4]=>([(0,3),(0,7),(1,4),(1,5),(1,7),(2,6),(3,4),(3,5),(5,2),(7,6)],8)
[4,1,5,7,3,2,8,6]=>([(0,5),(1,2),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(5,4),(5,7)],8)
[6,4,1,7,2,8,5,3]=>([(0,7),(1,5),(1,7),(2,3),(2,7),(3,4),(3,5),(3,6),(7,6)],8)
[7,3,1,6,2,8,5,4]=>([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(3,7),(4,7)],8)
[4,8,2,5,3,1,6,7]=>([(0,7),(1,3),(1,6),(2,4),(2,6),(4,7),(6,7),(7,5)],8)
[5,1,3,4,8,2,6,7]=>([(0,6),(0,7),(1,2),(1,5),(2,7),(4,6),(4,7),(5,4),(7,3)],8)
[6,1,4,5,7,8,2,3]=>([(0,7),(1,5),(1,6),(3,7),(5,2),(6,3),(7,4)],8)
[6,3,4,7,1,8,5,2]=>([(0,7),(1,4),(2,3),(2,5),(2,6),(4,6),(4,7),(7,5)],8)
[7,8,5,1,3,4,6,2]=>([(0,7),(1,4),(2,3),(2,6),(5,7),(6,5)],8)
[7,1,3,4,5,6,8,2]=>([(0,7),(1,2),(1,6),(3,7),(4,5),(5,3),(6,4)],8)
[8,5,2,7,6,3,1,4]=>([(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7)],8)
[1,8,3,5,6,2,7,4]=>([(0,2),(0,3),(0,5),(1,7),(3,6),(3,7),(4,1),(5,4),(5,6)],8)
[8,3,2,5,6,1,7,4]=>([(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,4)],8)
[4,2,5,1,6,8,7,3]=>([(0,6),(1,5),(1,7),(2,5),(2,6),(6,7),(7,3),(7,4)],8)
[5,4,2,7,8,6,1,3]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(3,6),(3,7),(7,4)],8)
[6,8,7,2,1,3,4,5]=>([(0,7),(1,7),(2,4),(2,5),(6,3),(7,6)],8)
[3,7,6,8,5,2,4,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[1,7,8,5,2,6,3,4]=>([(0,3),(0,5),(0,6),(3,7),(4,1),(5,2),(6,4),(6,7)],8)
[7,6,1,2,5,3,8,4]=>([(0,7),(1,7),(2,6),(4,7),(5,3),(5,7),(6,4),(6,5)],8)
[7,6,2,4,8,1,5,3]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(4,6),(4,7)],8)
[1,5,7,3,8,6,2,4]=>([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(3,7),(4,1),(4,7)],8)
[6,7,5,1,8,2,3,4]=>([(0,7),(1,4),(2,6),(2,7),(4,7),(5,3),(6,5)],8)
[7,6,1,2,4,3,8,5]=>([(0,3),(1,7),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,2,1,5,3,8,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(4,7),(5,7),(6,3),(6,7)],8)
[4,3,2,8,7,1,6,5]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[4,8,3,1,7,6,5,2]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7)],8)
[5,3,8,7,1,6,4,2]=>([(0,4),(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7)],8)
[5,8,7,3,1,6,4,2]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7)],8)
[5,3,8,2,1,7,6,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[3,8,7,2,6,5,1,4]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[7,4,1,8,6,5,3,2]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[5,4,2,8,1,7,6,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[5,8,4,2,1,7,6,3]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)
[5,8,4,7,1,6,3,2]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7)],8)
[5,4,8,3,1,7,6,2]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)
[8,5,6,1,4,7,2,3]=>([(1,5),(2,4),(2,6),(4,7),(5,7),(6,3)],8)
[6,7,4,1,2,5,8,3]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(4,6),(6,7)],8)
[1,6,7,4,2,5,8,3]=>([(0,3),(0,4),(0,5),(2,7),(3,6),(4,2),(5,1),(5,6),(6,7)],8)
[3,6,7,5,8,1,2,4]=>([(0,4),(1,3),(1,5),(1,7),(2,6),(3,6),(4,7),(5,2)],8)
[1,6,7,5,8,3,2,4]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1)],8)
[3,8,6,5,7,4,1,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(4,7),(5,7)],8)
[5,2,1,6,8,4,7,3]=>([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(5,6),(7,3),(7,6)],8)
[6,5,8,7,4,2,3,1]=>([(2,6),(2,7),(3,6),(3,7),(4,5)],8)
[6,8,5,7,4,2,1,3]=>([(1,6),(2,6),(3,7),(4,5),(4,7)],8)
[4,7,5,3,6,1,2,8]=>([(0,6),(1,4),(2,3),(2,5),(3,7),(4,7),(5,6),(6,7)],8)
[4,7,5,3,1,6,2,8]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(3,7),(4,7),(5,6),(6,7)],8)
[2,7,5,3,6,4,8,1]=>([(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(5,2),(5,6),(6,7)],8)
[4,7,5,3,8,1,6,2]=>([(0,6),(0,7),(1,3),(1,6),(2,4),(2,5),(4,7),(5,6),(5,7)],8)
[2,7,5,8,6,3,4,1]=>([(1,4),(1,5),(1,6),(4,7),(5,3),(6,2),(6,7)],8)
[2,7,5,6,8,3,4,1]=>([(1,4),(1,5),(1,6),(3,7),(4,7),(5,3),(6,2)],8)
[2,7,5,6,8,3,1,4]=>([(0,7),(1,2),(1,4),(1,5),(2,7),(3,6),(4,6),(5,3)],8)
[4,7,5,3,6,8,1,2]=>([(0,6),(1,4),(2,3),(2,5),(3,7),(5,6),(6,7)],8)
[2,7,5,6,3,8,4,1]=>([(1,4),(1,5),(1,6),(3,7),(4,7),(5,3),(6,2),(6,7)],8)
[8,7,5,3,1,4,6,2]=>([(2,7),(3,6),(4,5),(4,6),(6,7)],8)
[2,7,5,3,1,4,8,6]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,7),(4,5),(4,7),(6,5),(6,7)],8)
[5,7,6,2,8,3,1,4]=>([(0,6),(1,5),(1,7),(2,3),(2,4),(3,7),(4,7),(5,6)],8)
[5,1,6,3,2,4,8,7]=>([(0,7),(1,2),(1,3),(1,7),(2,6),(3,6),(6,4),(6,5),(7,4),(7,5)],8)
[5,7,6,1,8,3,2,4]=>([(0,2),(0,3),(1,4),(1,5),(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[3,8,7,2,1,5,4,6]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(6,5),(7,5)],8)
[6,1,7,2,8,4,3,5]=>([(0,7),(1,4),(1,7),(2,5),(3,5),(4,2),(4,3),(4,6),(7,6)],8)
[3,7,6,2,8,5,1,4]=>([(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7)],8)
[6,1,7,3,8,5,2,4]=>([(0,7),(1,3),(1,4),(1,7),(3,5),(4,2),(4,5),(4,6),(7,6)],8)
[7,1,8,3,2,5,4,6]=>([(0,5),(1,2),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(6,4),(7,4)],8)
[2,7,8,3,1,5,4,6]=>([(0,6),(0,7),(1,3),(1,4),(3,6),(3,7),(4,2),(6,5),(7,5)],8)
[5,8,6,2,7,4,1,3]=>([(0,6),(1,4),(1,6),(1,7),(2,3),(2,5),(5,7)],8)
[2,4,6,7,8,5,1,3]=>([(0,7),(1,6),(1,7),(4,5),(5,3),(6,2),(6,4)],8)
[2,4,6,7,8,3,1,5]=>([(0,7),(1,3),(1,6),(3,7),(4,5),(5,2),(6,4),(6,7)],8)
[4,7,6,2,8,5,1,3]=>([(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(3,7),(4,7)],8)
[5,8,7,3,2,4,1,6]=>([(0,7),(1,6),(2,6),(3,4),(3,5),(3,7),(6,7)],8)
[4,6,5,8,7,3,1,2]=>([(1,3),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,1,7,2,6,4,5]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(7,3)],8)
[4,5,1,2,8,7,3,6]=>([(0,3),(1,4),(2,5),(3,5),(3,6),(3,7),(4,2),(4,6),(4,7)],8)
[5,6,1,2,8,3,7,4]=>([(0,5),(1,3),(3,6),(3,7),(4,2),(4,7),(5,4),(5,6)],8)
[5,8,7,1,6,2,4,3]=>([(0,6),(0,7),(1,4),(1,5),(1,7),(6,2),(6,3)],8)
[8,4,5,1,7,6,2,3]=>([(1,4),(2,3),(2,6),(2,7),(3,5),(4,6),(4,7)],8)
[6,3,1,4,8,2,7,5]=>([(0,5),(0,7),(1,4),(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,5,6,1,7,2,4,3]=>([(1,5),(2,6),(2,7),(5,7),(6,3),(6,4)],8)
[7,5,6,1,3,8,4,2]=>([(0,7),(1,5),(2,4),(2,6),(5,7),(6,3),(6,7)],8)
[5,7,6,1,3,8,4,2]=>([(0,4),(0,5),(1,3),(1,6),(4,7),(5,7),(6,2),(6,7)],8)
[6,7,1,4,2,8,5,3]=>([(0,4),(1,3),(1,5),(3,6),(3,7),(4,7),(5,2),(5,6),(5,7)],8)
[2,1,6,4,8,3,7,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,3),(4,7),(5,2),(5,7),(6,2),(6,3),(6,7)],8)
[7,4,5,1,3,8,6,2]=>([(0,7),(1,5),(2,3),(2,4),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,7,8,4,2,3,6]=>([(0,3),(0,5),(0,6),(2,7),(3,7),(4,1),(5,2),(6,4),(6,7)],8)
[1,3,6,4,2,5,7,8]=>([(0,4),(0,5),(2,7),(3,6),(4,6),(5,2),(5,3),(6,7),(7,1)],8)
[1,4,5,7,8,3,6,2]=>([(0,2),(0,3),(0,6),(3,7),(4,1),(5,4),(5,7),(6,5)],8)
[1,5,7,8,3,6,2,4]=>([(0,2),(0,3),(0,5),(2,6),(3,6),(3,7),(4,1),(5,4),(5,7)],8)
[1,5,7,8,2,4,3,6]=>([(0,5),(0,6),(2,7),(3,7),(4,1),(5,4),(5,7),(6,2),(6,3)],8)
[6,8,4,7,3,2,1,5]=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6)],8)
[6,8,5,4,2,7,1,3]=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(4,7)],8)
[1,8,4,6,3,2,7,5]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(3,7),(4,6),(4,7),(5,1),(5,7)],8)
[6,4,8,5,3,2,1,7]=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[3,5,6,1,4,2,7,8]=>([(0,4),(0,6),(1,5),(1,6),(2,7),(4,7),(5,2),(6,7),(7,3)],8)
[1,6,3,8,4,2,7,5]=>([(0,2),(0,3),(0,4),(1,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,1),(4,6)],8)
[7,1,3,2,4,6,8,5]=>([(0,6),(1,3),(1,4),(3,7),(4,7),(5,6),(7,2),(7,5)],8)
[2,6,5,7,8,3,1,4]=>([(0,6),(1,3),(1,4),(1,5),(3,7),(4,7),(5,6),(7,2)],8)
[4,1,8,2,6,7,5,3]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(4,3),(4,5),(4,7),(7,2)],8)
[3,6,7,8,2,1,4,5]=>([(0,7),(1,7),(2,6),(2,7),(5,3),(6,5),(7,4)],8)
[2,5,7,1,6,3,4,8]=>([(0,5),(0,6),(1,4),(1,6),(2,7),(3,7),(4,3),(4,5),(5,7),(6,2)],8)
[4,2,8,3,6,5,1,7]=>([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(5,7),(6,7)],8)
[6,3,8,7,2,4,5,1]=>([(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(7,4)],8)
[7,6,1,8,2,4,5,3]=>([(0,7),(1,7),(2,6),(2,7),(5,4),(6,3),(6,5)],8)
[2,5,6,3,4,8,1,7]=>([(0,7),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,3),(5,2)],8)
[5,2,4,7,8,6,1,3]=>([(0,5),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(7,3)],8)
[7,2,1,3,4,8,5,6]=>([(0,6),(1,6),(2,7),(3,5),(3,7),(5,4),(6,3)],8)
[2,4,5,7,1,8,6,3]=>([(0,5),(0,6),(0,7),(1,3),(1,7),(2,6),(3,4),(4,2),(4,5)],8)
[8,1,6,2,3,4,7,5]=>([(1,3),(1,5),(3,7),(4,6),(5,4),(6,2),(6,7)],8)
[6,1,4,2,5,7,8,3]=>([(0,7),(1,4),(1,5),(4,6),(5,3),(5,6),(6,7),(7,2)],8)
[1,8,3,4,5,2,7,6]=>([(0,2),(0,3),(0,5),(1,6),(1,7),(3,6),(3,7),(4,1),(5,4)],8)
[1,8,3,6,4,7,2,5]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(2,7),(4,7),(5,1),(5,2)],8)
[1,4,7,2,5,6,3,8]=>([(0,4),(0,5),(1,7),(2,7),(3,7),(4,2),(4,6),(5,1),(5,6),(6,3)],8)
[7,3,5,8,2,6,1,4]=>([(0,7),(1,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6)],8)
[3,4,8,6,7,2,1,5]=>([(0,7),(1,7),(2,6),(5,4),(6,3),(6,5),(6,7)],8)
[3,4,8,2,5,1,7,6]=>([(0,7),(1,5),(1,6),(2,3),(3,4),(3,7),(7,5),(7,6)],8)
[1,7,2,5,8,4,3,6]=>([(0,4),(0,5),(1,7),(2,7),(3,6),(3,7),(4,6),(5,1),(5,2),(5,3)],8)
[1,4,6,7,8,3,5,2]=>([(0,2),(0,3),(0,6),(3,7),(4,5),(5,1),(6,4),(6,7)],8)
[4,1,5,3,6,8,7,2]=>([(0,6),(1,4),(1,5),(1,6),(5,7),(6,7),(7,2),(7,3)],8)
[5,8,7,4,6,2,3,1]=>([(1,7),(2,6),(3,4),(3,5),(3,7)],8)
[6,4,8,1,5,7,3,2]=>([(0,5),(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(6,7)],8)
[1,6,8,3,5,2,7,4]=>([(0,3),(0,4),(0,5),(2,7),(3,6),(3,7),(4,1),(4,7),(5,2),(5,6)],8)
[7,2,1,8,6,4,5,3]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3)],8)
[2,4,7,8,5,6,1,3]=>([(0,7),(1,6),(1,7),(4,3),(5,2),(6,4),(6,5)],8)
[2,6,3,8,5,1,7,4]=>([(0,6),(0,7),(1,3),(1,4),(2,7),(3,5),(3,7),(4,2),(4,5),(4,6)],8)
[2,8,5,4,1,3,7,6]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,6,3,1,7,2,8]=>([(0,7),(1,5),(2,5),(3,4),(3,7),(4,6),(5,7),(7,6)],8)
[4,3,6,5,1,8,2,7]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,6,8,7,3,2,4]=>([(0,3),(0,4),(0,5),(3,7),(4,7),(5,6),(6,1),(6,2)],8)
[1,4,8,3,6,5,2,7]=>([(0,2),(0,3),(0,4),(2,7),(3,5),(3,6),(4,1),(4,5),(4,6),(5,7),(6,7)],8)
[1,3,8,6,4,7,2,5]=>([(0,4),(0,5),(2,6),(3,6),(3,7),(4,7),(5,1),(5,2),(5,3)],8)
[1,2,8,6,4,3,7,5]=>([(0,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,3),(5,4)],8)
[4,1,7,6,8,3,2,5]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(2,7),(3,7),(5,4),(6,4)],8)
[1,8,4,7,6,2,3,5]=>([(0,4),(0,5),(0,6),(3,7),(5,3),(6,1),(6,2),(6,7)],8)
[7,2,3,8,4,5,6,1]=>([(1,7),(2,6),(4,5),(5,3),(6,4),(6,7)],8)
[6,5,1,8,7,2,4,3]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5)],8)
[5,8,4,3,7,2,1,6]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,1,2,8,7,3,4,5]=>([(0,6),(0,7),(1,5),(3,4),(4,2),(5,3),(5,6),(5,7)],8)
[4,5,1,7,6,2,8,3]=>([(0,3),(1,4),(1,5),(1,6),(3,5),(3,6),(4,2),(4,7),(5,7),(6,7)],8)
[6,5,1,8,7,4,3,2]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[7,5,1,8,6,4,3,2]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[8,5,1,7,6,4,3,2]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[8,5,3,7,6,1,4,2]=>([(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,7)],8)
[3,8,7,6,1,5,4,2]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7)],8)
[8,3,7,5,4,1,6,2]=>([(1,4),(1,7),(2,3),(2,5),(2,6),(5,7),(6,7)],8)
[4,5,3,1,8,7,2,6]=>([(0,5),(0,6),(0,7),(1,4),(2,3),(2,5),(2,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,4,8,1,5,2,6,7]=>([(0,5),(1,4),(1,6),(4,7),(5,3),(5,6),(6,7),(7,2)],8)
[8,6,5,7,1,3,2,4]=>([(1,6),(2,6),(3,4),(3,5),(4,7),(5,7)],8)
[1,5,8,6,2,7,4,3]=>([(0,5),(0,6),(4,7),(5,3),(5,4),(6,1),(6,2),(6,7)],8)
[3,1,8,5,7,2,6,4]=>([(0,3),(0,6),(0,7),(1,5),(1,6),(1,7),(3,4),(3,5),(7,2),(7,4)],8)
[6,8,5,3,4,2,1,7]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,7),(6,7)],8)
[8,5,2,6,4,3,1,7]=>([(1,7),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[8,5,2,6,1,4,7,3]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[2,7,5,8,1,4,6,3]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(3,4),(3,5),(7,4)],8)
[3,2,6,7,1,8,5,4]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(4,3)],8)
[3,4,6,7,8,2,1,5]=>([(0,7),(1,7),(2,6),(4,5),(5,3),(6,4),(6,7)],8)
[3,2,6,7,8,4,1,5]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(5,6),(7,3)],8)
[6,2,7,4,8,5,1,3]=>([(0,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,7),(6,7)],8)
[6,7,1,3,8,5,4,2]=>([(0,5),(1,4),(1,6),(5,7),(6,2),(6,3),(6,7)],8)
[6,7,1,8,5,2,4,3]=>([(0,5),(1,4),(1,6),(1,7),(5,7),(6,2),(6,3)],8)
[1,2,6,7,8,5,3,4]=>([(0,7),(4,2),(5,6),(6,3),(7,1),(7,4),(7,5)],8)
[1,6,7,4,8,3,2,5]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,6),(4,7),(5,1)],8)
[1,4,6,7,8,3,2,5]=>([(0,2),(0,3),(0,6),(2,7),(3,7),(4,5),(5,1),(6,4),(6,7)],8)
[8,7,2,1,5,4,6,3]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[2,7,4,8,6,5,3,1]=>([(1,4),(1,5),(1,6),(5,7),(6,2),(6,3),(6,7)],8)
[7,6,5,2,4,1,8,3]=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[7,6,4,3,1,5,8,2]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(4,6),(6,7)],8)
[6,1,8,7,2,3,5,4]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(4,5),(5,2),(5,3)],8)
[8,6,1,2,7,3,4,5]=>([(1,7),(2,6),(4,5),(5,3),(6,4),(6,7)],8)
[3,6,8,2,7,1,5,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5)],8)
[2,8,6,1,4,5,7,3]=>([(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(3,5),(4,5),(7,3)],8)
[6,8,7,2,5,4,1,3]=>([(0,7),(1,3),(1,4),(2,5),(2,6),(2,7)],8)
[3,2,6,4,8,7,5,1]=>([(1,6),(1,7),(2,6),(2,7),(6,4),(6,5),(7,3),(7,4),(7,5)],8)
[4,7,2,8,6,5,1,3]=>([(0,7),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,6)],8)
[4,7,1,8,6,5,3,2]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(4,5)],8)
[2,7,4,8,3,6,1,5]=>([(0,7),(1,2),(1,3),(1,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,7,3,8,6,1,5,2]=>([(0,5),(0,6),(0,7),(1,3),(1,7),(2,4),(2,5),(2,7),(4,6)],8)
[4,3,6,8,7,2,5,1]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5)],8)
[4,3,8,2,5,7,6,1]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(7,4),(7,5)],8)
[4,1,2,6,8,7,5,3]=>([(0,6),(0,7),(1,5),(5,4),(5,6),(5,7),(7,2),(7,3)],8)
[3,1,6,4,8,7,2,5]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(6,3),(6,4),(7,3),(7,4),(7,5)],8)
[4,1,6,8,7,5,2,3]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(5,4),(7,2),(7,3)],8)
[3,8,1,4,5,7,2,6]=>([(0,3),(0,7),(1,4),(1,7),(4,6),(5,2),(5,6),(7,5)],8)
[3,8,1,4,2,5,7,6]=>([(0,5),(0,6),(1,4),(1,6),(5,7),(6,7),(7,2),(7,3)],8)
[4,1,8,3,5,2,7,6]=>([(0,2),(0,3),(0,6),(1,6),(1,7),(2,7),(3,4),(3,5),(7,4),(7,5)],8)
[3,8,1,2,5,4,7,6]=>([(0,3),(1,2),(1,6),(1,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[4,2,3,6,8,7,1,5]=>([(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(6,4),(6,5)],8)
[4,2,8,3,5,1,7,6]=>([(0,3),(0,6),(1,4),(1,5),(2,6),(2,7),(3,7),(7,4),(7,5)],8)
[4,2,8,3,5,7,6,1]=>([(1,6),(1,7),(2,3),(2,6),(3,7),(7,4),(7,5)],8)
[3,8,2,4,5,7,6,1]=>([(1,7),(2,5),(2,7),(6,3),(6,4),(7,6)],8)
[3,8,2,5,1,4,7,6]=>([(0,7),(1,4),(1,7),(2,3),(2,4),(2,7),(4,5),(4,6),(7,5),(7,6)],8)
[4,2,8,5,7,1,3,6]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(6,3),(6,4),(7,4)],8)
[3,8,1,5,2,4,7,6]=>([(0,3),(0,7),(1,2),(1,6),(1,7),(3,6),(6,4),(6,5),(7,4),(7,5)],8)
[7,5,6,4,1,3,2,8]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[7,8,6,4,1,3,2,5]=>([(1,7),(2,4),(3,5),(3,6),(5,7),(6,7)],8)
[7,1,4,2,5,6,3,8]=>([(0,7),(1,3),(1,5),(2,7),(3,6),(4,7),(5,2),(5,6),(6,4)],8)
[7,3,2,1,4,6,5,8]=>([(0,7),(1,6),(2,6),(3,6),(4,7),(5,7),(6,4),(6,5)],8)
[7,6,1,4,3,2,5,8]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(7,6)],8)
[7,4,1,3,5,6,2,8]=>([(0,7),(1,6),(2,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[2,7,1,3,5,6,8,4]=>([(0,7),(1,4),(1,7),(3,6),(4,6),(5,3),(7,2),(7,5)],8)
[3,6,2,1,5,8,7,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(7,4),(7,5)],8)
[2,3,6,1,5,8,7,4]=>([(0,3),(1,4),(1,7),(2,5),(2,6),(3,2),(3,4),(3,7),(7,5),(7,6)],8)
[3,4,7,1,5,6,8,2]=>([(0,4),(0,7),(1,5),(2,6),(3,6),(5,3),(5,7),(7,2)],8)
[3,6,7,4,1,2,8,5]=>([(0,4),(1,3),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[4,3,2,7,1,6,8,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4),(7,4)],8)
[7,3,2,8,1,6,4,5]=>([(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[7,4,8,1,5,6,3,2]=>([(0,6),(1,6),(1,7),(2,4),(2,5),(2,7),(7,3)],8)
[2,6,8,1,5,3,7,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(4,3),(4,7),(5,7),(6,2),(6,7)],8)
[6,8,2,1,5,3,7,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,7),(5,7),(6,3),(6,7)],8)
[4,8,2,5,3,6,7,1]=>([(1,3),(1,6),(2,4),(2,6),(4,7),(6,7),(7,5)],8)
[4,5,8,2,3,6,7,1]=>([(1,5),(2,6),(5,7),(6,3),(6,7),(7,4)],8)
[2,4,8,5,3,6,7,1]=>([(1,4),(1,6),(3,7),(4,7),(6,2),(6,3),(7,5)],8)
[5,3,2,6,4,8,7,1]=>([(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(4,6),(7,5),(7,6)],8)
[2,4,5,3,8,6,7,1]=>([(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3),(7,2)],8)
[4,3,5,2,8,6,7,1]=>([(1,6),(1,7),(2,5),(3,5),(5,6),(5,7),(7,4)],8)
[4,8,5,3,2,6,7,1]=>([(1,7),(2,7),(3,4),(3,5),(5,7),(7,6)],8)
[3,5,4,2,8,6,7,1]=>([(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[4,1,2,7,5,6,8,3]=>([(0,6),(0,7),(1,4),(3,5),(4,2),(4,6),(4,7),(6,5),(7,3)],8)
[5,6,7,4,2,8,3,1]=>([(1,7),(2,5),(3,4),(3,7),(5,6),(6,7)],8)
[2,5,7,4,6,8,3,1]=>([(1,3),(1,4),(1,5),(2,7),(4,6),(5,2),(5,6),(6,7)],8)
[7,5,2,4,3,8,6,1]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,1,2,5,4,7,3]=>([(0,6),(1,5),(1,7),(3,7),(4,7),(6,2),(6,3),(6,4)],8)
[6,4,1,8,5,2,7,3]=>([(0,6),(0,7),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,7),(5,7)],8)
[2,6,1,8,5,4,7,3]=>([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,7),(5,7),(6,7)],8)
[7,1,2,8,5,6,4,3]=>([(0,7),(1,6),(5,4),(6,2),(6,3),(6,5),(6,7)],8)
[4,3,2,6,8,5,7,1]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4),(7,5)],8)
[3,7,6,4,8,5,2,1]=>([(2,4),(2,5),(2,6),(4,7),(5,7),(6,3),(6,7)],8)
[3,1,6,8,5,4,7,2]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(4,7),(5,7),(6,2),(6,7)],8)
[2,3,5,8,4,6,7,1]=>([(1,6),(3,7),(5,2),(5,7),(6,3),(6,5),(7,4)],8)
[3,5,2,8,4,6,7,1]=>([(1,5),(1,6),(2,4),(2,5),(4,6),(4,7),(5,7),(7,3)],8)
[3,4,5,8,2,6,7,1]=>([(1,7),(2,5),(5,6),(6,3),(6,7),(7,4)],8)
[5,4,2,8,3,6,7,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,7),(7,5)],8)
[5,3,4,8,2,6,7,1]=>([(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)
[2,5,4,8,3,6,7,1]=>([(1,2),(1,4),(1,5),(2,7),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[6,3,2,5,8,4,7,1]=>([(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[6,1,8,3,5,4,7,2]=>([(0,6),(0,7),(1,2),(1,5),(1,6),(3,7),(4,7),(5,3),(5,4)],8)
[5,4,8,3,2,6,7,1]=>([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[5,8,2,3,4,6,7,1]=>([(1,6),(2,5),(2,7),(3,7),(6,3),(7,4)],8)
[6,2,1,7,8,5,4,3]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[7,4,6,8,3,2,5,1]=>([(1,7),(2,7),(3,6),(4,5),(4,7),(5,6)],8)
[3,4,5,2,7,1,6,8]=>([(0,7),(1,5),(1,7),(2,3),(3,4),(4,5),(4,7),(5,6),(7,6)],8)
[7,5,6,1,2,3,8,4]=>([(0,7),(1,6),(2,4),(4,7),(5,3),(5,7),(6,5)],8)
[1,5,7,6,3,2,8,4]=>([(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2)],8)
[8,4,6,7,3,2,5,1]=>([(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,4,6,2,3,1,5,7]=>([(1,7),(2,4),(3,5),(3,7),(4,7),(5,6),(7,6)],8)
[7,5,2,1,4,3,8,6]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,7,8,5,4,2,6]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,2)],8)
[3,4,5,2,1,8,6,7]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(4,5),(5,6),(5,7),(7,3)],8)
[7,6,4,8,3,1,2,5]=>([(0,7),(1,6),(2,6),(3,6),(3,7),(4,5),(5,7)],8)
[7,4,8,5,6,1,2,3]=>([(0,7),(1,5),(2,6),(2,7),(5,3),(6,4)],8)
[6,2,8,5,1,3,4,7]=>([(0,6),(1,5),(1,7),(2,4),(2,5),(2,6),(3,7),(4,7),(6,3)],8)
[3,2,7,8,6,1,4,5]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(7,4)],8)
[6,8,2,5,1,3,7,4]=>([(0,6),(1,3),(1,7),(2,4),(2,6),(4,7),(6,5),(6,7)],8)
[6,7,4,2,1,5,3,8]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,7),(5,7),(6,7)],8)
[5,7,4,1,3,6,2,8]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(3,7),(4,7),(5,6),(6,7)],8)
[4,2,7,5,1,8,3,6]=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(4,7),(5,3),(5,7),(6,3)],8)
[4,1,6,5,3,8,2,7]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,4,6,3,8,2,7]=>([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8)
[1,8,6,4,7,3,2,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,6),(5,7)],8)
[4,7,1,8,6,3,5,2]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,7),(3,6),(4,5)],8)
[5,4,8,1,7,3,6,2]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(4,7)],8)
[4,3,8,6,2,1,7,5]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(5,6)],8)
[8,3,6,2,4,1,7,5]=>([(1,6),(1,7),(2,5),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[7,8,3,2,4,6,5,1]=>([(1,7),(2,7),(3,4),(7,5),(7,6)],8)
[7,2,8,5,3,1,6,4]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7)],8)
[2,5,4,8,7,3,6,1]=>([(1,2),(1,3),(1,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,4,2,8,7,3,1,5]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7)],8)
[3,6,8,1,7,4,2,5]=>([(0,3),(0,6),(0,7),(1,4),(1,7),(3,5),(4,2),(4,6),(7,5)],8)
[7,8,6,3,1,4,5,2]=>([(1,7),(2,5),(3,4),(3,7),(7,6)],8)
[3,8,6,1,7,5,2,4]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,7),(3,6),(4,5)],8)
[2,7,5,4,8,3,1,6]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,7,5,2,1,3,4]=>([(1,7),(2,7),(3,4),(3,5),(7,6)],8)
[7,6,2,8,5,1,3,4]=>([(0,7),(1,7),(2,6),(3,4),(3,6),(3,7),(6,5)],8)
[1,5,7,6,2,8,4,3]=>([(0,5),(0,6),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2),(6,7)],8)
[1,6,5,2,7,8,4,3]=>([(0,4),(0,5),(0,6),(4,7),(5,7),(6,1),(6,2),(6,7),(7,3)],8)
[4,7,8,5,6,2,3,1]=>([(1,5),(2,6),(2,7),(6,4),(7,3)],8)
[2,7,8,5,6,1,4,3]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(4,3),(5,2)],8)
[6,7,8,4,2,1,5,3]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5)],8)
[4,7,8,1,2,5,6,3]=>([(0,6),(1,5),(1,7),(5,3),(6,2),(6,7),(7,4)],8)
[8,6,4,1,2,5,7,3]=>([(1,7),(2,6),(3,4),(4,5),(4,7),(7,6)],8)
[6,1,4,7,2,5,8,3]=>([(0,7),(1,3),(1,4),(3,5),(3,7),(4,2),(4,5),(5,6),(7,6)],8)
[6,7,8,3,5,4,2,1]=>([(2,6),(3,4),(3,5),(6,7)],8)
[6,7,8,2,1,5,3,4]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(4,5),(7,3)],8)
[5,6,3,2,7,4,1,8]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(4,7),(5,6),(7,6)],8)
[2,6,4,3,7,5,8,1]=>([(1,2),(1,3),(1,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[7,2,3,6,1,8,4,5]=>([(0,7),(1,6),(1,7),(2,3),(3,5),(3,6),(5,7),(6,4)],8)
[3,4,6,5,7,1,2,8]=>([(0,4),(1,5),(2,6),(3,6),(4,7),(5,2),(5,3),(6,7)],8)
[7,6,2,3,5,4,8,1]=>([(1,4),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,5,2,4,3,6,1,7]=>([(1,7),(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[8,5,7,2,4,1,6,3]=>([(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(5,7)],8)
[7,4,8,2,1,5,6,3]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(3,6),(3,7),(7,4)],8)
[2,3,6,7,8,5,1,4]=>([(0,7),(1,6),(4,5),(5,3),(6,2),(6,4),(6,7)],8)
[8,3,7,1,6,4,2,5]=>([(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(6,7)],8)
[8,2,1,7,6,5,3,4]=>([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[5,7,4,1,6,8,2,3]=>([(0,7),(1,3),(1,7),(2,4),(2,7),(3,5),(4,6),(7,6)],8)
[6,5,1,2,8,3,4,7]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(4,7),(5,4)],8)
[5,6,8,1,3,7,2,4]=>([(0,5),(1,3),(1,4),(3,6),(4,6),(4,7),(5,2),(5,7)],8)
[3,7,4,8,6,1,2,5]=>([(0,4),(1,3),(1,5),(3,6),(4,7),(5,2),(5,6),(5,7)],8)
[1,6,8,5,3,2,4,7]=>([(0,2),(0,3),(0,4),(0,5),(2,7),(3,6),(4,6),(5,1),(5,7),(6,7)],8)
[5,8,1,6,7,4,2,3]=>([(0,5),(0,7),(1,3),(1,6),(1,7),(6,2),(7,4)],8)
[7,2,8,4,6,1,3,5]=>([(0,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,7),(6,7)],8)
[6,2,7,4,3,8,1,5]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[1,7,8,4,6,2,3,5]=>([(0,4),(0,5),(0,6),(3,7),(4,2),(5,3),(6,1),(6,7)],8)
[7,1,8,4,6,2,3,5]=>([(0,7),(1,4),(1,5),(1,7),(3,6),(4,3),(5,2),(5,6)],8)
[8,1,6,5,4,7,2,3]=>([(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,2)],8)
[4,1,6,8,7,3,2,5]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(6,4),(6,5)],8)
[5,1,4,6,7,3,8,2]=>([(0,7),(1,2),(1,3),(1,5),(3,7),(4,6),(5,6),(7,4)],8)
[7,1,3,4,6,2,8,5]=>([(0,7),(1,3),(1,4),(2,7),(3,6),(3,7),(4,5),(5,2),(5,6)],8)
[8,7,1,4,6,3,2,5]=>([(2,4),(2,5),(2,6),(4,7),(5,7),(6,3),(6,7)],8)
[1,4,7,5,8,6,3,2]=>([(0,3),(0,4),(0,6),(2,7),(5,1),(5,7),(6,2),(6,5)],8)
[6,1,8,3,4,7,2,5]=>([(0,6),(0,7),(1,2),(1,4),(1,7),(2,5),(3,5),(3,6),(4,3)],8)
[1,8,6,3,5,2,7,4]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(3,7),(4,6),(4,7),(5,1),(5,6)],8)
[4,7,1,6,8,3,5,2]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(1,7),(3,6),(4,5),(7,5)],8)
[3,6,5,2,8,4,1,7]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[7,1,8,4,2,5,3,6]=>([(0,7),(1,3),(1,4),(1,7),(2,6),(3,5),(4,2),(4,5),(5,6)],8)
[1,4,8,7,5,2,6,3]=>([(0,5),(0,6),(4,7),(5,3),(5,7),(6,1),(6,2),(6,4)],8)
[1,5,6,4,2,3,7,8]=>([(0,4),(0,5),(0,6),(1,7),(2,7),(4,7),(5,2),(6,1),(7,3)],8)
[5,7,3,6,8,4,2,1]=>([(2,4),(2,6),(3,5),(3,6),(5,7),(6,7)],8)
[5,8,7,4,2,1,3,6]=>([(0,7),(1,6),(2,6),(3,4),(3,5),(3,7),(6,7)],8)
[1,8,7,3,2,5,4,6]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,2,5,4,8,7,3,6]=>([(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,2),(4,3)],8)
[1,2,4,8,6,3,5,7]=>([(0,5),(2,7),(3,6),(4,1),(4,2),(4,6),(5,3),(5,4),(6,7)],8)
[1,5,2,4,7,3,8,6]=>([(0,3),(0,4),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,1),(4,2),(5,6)],8)
[8,6,3,5,7,4,1,2]=>([(1,7),(2,5),(3,4),(3,6),(6,7)],8)
[8,5,3,2,1,4,7,6]=>([(1,7),(2,7),(3,7),(4,5),(4,6),(7,5),(7,6)],8)
[1,2,7,6,8,4,3,5]=>([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],8)
[1,6,3,2,5,7,8,4]=>([(0,2),(0,3),(0,4),(2,7),(3,5),(3,6),(4,5),(4,6),(6,7),(7,1)],8)
[1,7,3,4,2,6,8,5]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(3,5),(3,6),(4,1),(6,7)],8)
[1,6,3,5,8,4,2,7]=>([(0,3),(0,4),(0,5),(1,7),(2,6),(2,7),(3,7),(4,6),(4,7),(5,1),(5,2)],8)
[1,5,6,3,2,8,4,7]=>([(0,2),(0,3),(0,4),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,1),(5,6)],8)
[1,2,5,8,4,6,3,7]=>([(0,5),(1,7),(3,6),(4,2),(4,6),(5,1),(5,3),(5,4),(6,7)],8)
[1,5,3,2,7,8,4,6]=>([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(7,1)],8)
[4,1,8,6,2,3,7,5]=>([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(3,5),(7,4)],8)
[7,5,8,6,2,3,4,1]=>([(1,7),(2,5),(3,4),(3,7),(5,6)],8)
[1,7,6,4,3,8,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,5,7,6,3,2,4]=>([(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,1),(6,2)],8)
[1,4,7,3,6,8,5,2]=>([(0,2),(0,3),(0,4),(1,7),(3,5),(3,6),(4,1),(4,5),(4,6),(6,7)],8)
[1,6,3,5,7,8,4,2]=>([(0,4),(0,5),(0,6),(2,7),(5,7),(6,1),(6,2),(7,3)],8)
[1,5,6,3,2,7,8,4]=>([(0,3),(0,4),(0,5),(1,7),(3,6),(3,7),(4,6),(4,7),(5,1),(7,2)],8)
[1,2,7,6,8,4,5,3]=>([(0,6),(3,7),(4,7),(5,2),(6,1),(6,3),(6,4),(6,5)],8)
[1,8,4,7,5,3,2,6]=>([(0,3),(0,4),(0,5),(0,6),(2,7),(4,7),(5,7),(6,1),(6,2)],8)
[6,8,5,2,1,7,4,3]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7)],8)
[1,2,6,8,4,3,7,5]=>([(0,5),(2,6),(2,7),(3,6),(3,7),(4,1),(4,7),(5,2),(5,3),(5,4)],8)
[5,3,7,2,6,4,1,8]=>([(0,7),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[7,6,2,5,3,4,1,8]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,6,2,4,5,3,1,8]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,6,2,4,3,5,1,8]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(4,6),(5,6),(6,7)],8)
[7,6,2,3,5,4,1,8]=>([(0,4),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,4,2,7,1,6,3,5]=>([(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(5,6)],8)
[8,7,6,1,5,3,2,4]=>([(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[8,7,6,1,4,3,5,2]=>([(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[8,7,6,1,3,5,4,2]=>([(3,4),(3,5),(5,6),(5,7)],8)
[8,7,6,1,5,4,2,3]=>([(3,4),(3,5),(3,6),(6,7)],8)
[8,6,2,7,1,5,3,4]=>([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[5,3,7,2,8,1,6,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,6),(3,7),(4,5)],8)
[8,3,5,4,2,1,6,7]=>([(1,7),(2,7),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[7,8,4,3,1,5,2,6]=>([(0,7),(1,7),(2,4),(3,5),(3,7),(5,6),(7,6)],8)
[8,7,6,1,2,5,3,4]=>([(3,4),(4,6),(4,7),(7,5)],8)
[8,7,6,1,2,5,4,3]=>([(3,4),(4,5),(4,6),(4,7)],8)
[8,7,6,1,4,2,5,3]=>([(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[4,7,5,8,6,1,3,2]=>([(0,3),(0,4),(1,5),(1,6),(5,7),(6,2),(6,7)],8)
[6,5,7,3,8,4,1,2]=>([(0,6),(1,6),(2,4),(3,5),(3,7),(6,7)],8)
[8,7,5,4,1,2,6,3]=>([(2,7),(3,7),(4,5),(5,6),(5,7)],8)
[8,6,7,1,5,3,2,4]=>([(1,4),(2,3),(2,5),(2,6),(5,7),(6,7)],8)
[5,7,1,3,4,2,8,6]=>([(0,4),(0,7),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(5,2)],8)
[7,3,5,6,4,8,1,2]=>([(0,7),(1,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)
[1,5,3,7,8,4,6,2]=>([(0,3),(0,4),(0,5),(2,6),(4,6),(4,7),(5,2),(5,7),(7,1)],8)
[1,5,7,3,8,2,6,4]=>([(0,2),(0,3),(0,4),(1,6),(2,5),(2,7),(3,5),(3,6),(3,7),(4,1),(4,7)],8)
[1,3,7,5,8,6,2,4]=>([(0,3),(0,5),(2,7),(3,6),(4,1),(4,7),(5,2),(5,4),(5,6)],8)
[3,7,5,8,4,1,2,6]=>([(0,5),(1,2),(1,3),(1,4),(2,7),(3,6),(4,6),(4,7),(5,7)],8)
[5,3,7,6,8,1,2,4]=>([(0,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(6,4),(7,4)],8)
[3,1,2,7,5,8,4,6]=>([(0,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(5,4),(6,3),(7,3),(7,4)],8)
[3,1,2,5,7,8,6,4]=>([(0,6),(0,7),(1,4),(4,6),(4,7),(5,3),(7,2),(7,5)],8)
[3,7,1,2,8,5,6,4]=>([(0,4),(1,3),(1,6),(1,7),(3,5),(4,5),(4,6),(4,7),(7,2)],8)
[5,3,1,7,4,6,8,2]=>([(0,4),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(4,6),(6,5),(7,5)],8)
[2,4,7,3,5,6,1,8]=>([(0,7),(1,3),(1,5),(2,7),(3,6),(4,7),(5,2),(5,6),(6,4)],8)
[5,7,6,4,2,3,1,8]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[7,4,8,2,5,6,1,3]=>([(0,6),(1,5),(2,5),(2,7),(3,6),(3,7),(7,4)],8)
[5,8,2,4,6,1,3,7]=>([(0,5),(1,3),(1,7),(2,4),(2,5),(4,7),(5,6),(7,6)],8)
[6,1,4,8,5,2,7,3]=>([(0,6),(0,7),(1,4),(1,5),(3,7),(4,2),(4,7),(5,3),(5,6)],8)
[3,4,5,8,1,6,7,2]=>([(0,6),(1,4),(1,7),(5,2),(5,7),(6,5),(7,3)],8)
[5,6,8,4,7,3,1,2]=>([(1,7),(2,4),(3,5),(5,6),(5,7)],8)
[3,1,6,8,5,2,7,4]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(3,7),(5,7),(6,2),(6,7)],8)
[2,3,8,1,5,6,4,7]=>([(0,6),(0,7),(1,4),(3,5),(4,2),(4,6),(4,7),(6,5),(7,3)],8)
[5,4,8,1,2,6,7,3]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,5),(3,7),(7,4)],8)
[4,1,8,2,3,6,7,5]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(3,5),(3,7),(4,3),(7,2)],8)
[5,2,3,8,1,7,4,6]=>([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(3,5),(3,6),(3,7),(6,4)],8)
[1,5,3,8,2,4,6,7]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(3,7),(4,5),(4,6),(6,7),(7,1)],8)
[8,6,2,7,5,1,4,3]=>([(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7)],8)
[2,7,1,8,6,3,5,4]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(4,5),(7,2),(7,3)],8)
[5,7,6,1,3,2,8,4]=>([(0,2),(0,3),(1,4),(1,5),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,4,6,1,7,8,2]=>([(0,5),(0,7),(1,3),(1,4),(3,6),(4,6),(6,7),(7,2)],8)
[8,1,5,4,6,3,7,2]=>([(1,2),(1,3),(1,4),(1,5),(3,7),(4,6),(5,6),(6,7)],8)
[2,7,1,5,6,4,3,8]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2)],8)
[8,4,6,3,1,7,2,5]=>([(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)
[8,4,2,5,6,3,7,1]=>([(2,6),(3,4),(3,6),(4,7),(5,7),(6,5)],8)
[5,4,7,2,8,6,1,3]=>([(0,4),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(5,6)],8)
[3,5,6,4,1,7,2,8]=>([(0,4),(0,7),(1,3),(1,5),(2,7),(3,7),(4,6),(5,2),(7,6)],8)
[2,5,6,1,7,4,3,8]=>([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(4,7),(5,7),(6,7)],8)
[2,7,1,8,6,5,4,3]=>([(0,2),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3)],8)
[3,7,6,1,8,5,4,2]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(2,7),(3,7)],8)
[6,2,8,3,1,4,5,7]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(3,7),(4,6),(7,4)],8)
[2,7,8,3,1,4,5,6]=>([(0,7),(1,4),(1,5),(4,7),(5,3),(6,2),(7,6)],8)
[1,5,3,2,8,6,7,4]=>([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,1)],8)
[1,8,5,3,2,6,7,4]=>([(0,2),(0,3),(0,4),(0,5),(3,7),(4,6),(4,7),(5,6),(5,7),(7,1)],8)
[1,5,6,7,3,2,8,4]=>([(0,2),(0,3),(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,1),(5,4)],8)
[1,7,5,2,3,4,8,6]=>([(0,2),(0,3),(0,5),(1,6),(1,7),(2,7),(3,6),(3,7),(4,1),(5,4)],8)
[1,7,5,2,4,8,6,3]=>([(0,3),(0,4),(0,5),(2,6),(2,7),(3,7),(4,6),(4,7),(5,1),(5,2)],8)
[1,6,7,8,3,2,4,5]=>([(0,3),(0,4),(0,6),(3,7),(4,7),(5,1),(6,5),(7,2)],8)
[1,4,8,6,2,3,5,7]=>([(0,4),(0,5),(2,7),(3,6),(4,3),(5,1),(5,2),(5,6),(6,7)],8)
[1,8,4,5,6,7,2,3]=>([(0,3),(0,6),(0,7),(4,5),(5,2),(6,4),(7,1)],8)
[1,2,8,6,3,5,7,4]=>([(0,6),(3,7),(4,7),(5,2),(5,4),(6,1),(6,3),(6,5)],8)
[1,2,7,8,4,3,5,6]=>([(0,6),(2,7),(3,7),(5,1),(6,2),(6,3),(6,5),(7,4)],8)
[1,8,6,7,4,2,3,5]=>([(0,3),(0,4),(0,5),(0,6),(2,7),(4,7),(5,1),(6,2)],8)
[1,6,7,8,4,2,3,5]=>([(0,3),(0,5),(0,6),(2,7),(3,7),(4,1),(5,2),(6,4)],8)
[1,6,7,8,3,4,2,5]=>([(0,3),(0,5),(0,6),(2,7),(3,7),(4,1),(5,2),(6,4)],8)
[1,7,4,2,3,8,5,6]=>([(0,3),(0,4),(0,5),(1,6),(1,7),(3,7),(4,6),(4,7),(5,1),(6,2)],8)
[1,7,8,4,2,3,5,6]=>([(0,4),(0,5),(0,6),(2,7),(4,7),(5,1),(6,2),(7,3)],8)
[1,7,3,5,6,2,8,4]=>([(0,2),(0,3),(0,5),(1,7),(2,7),(3,6),(3,7),(4,1),(5,4),(5,6)],8)
[1,7,8,3,4,2,5,6]=>([(0,4),(0,5),(0,6),(2,7),(4,7),(5,1),(6,2),(7,3)],8)
[1,2,3,7,8,5,4,6]=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(6,4)],8)
[1,2,7,4,6,3,8,5]=>([(0,5),(1,7),(2,7),(3,6),(3,7),(4,2),(4,6),(5,1),(5,3),(5,4)],8)
[1,7,8,4,5,2,3,6]=>([(0,4),(0,5),(0,6),(2,7),(3,7),(4,3),(5,2),(6,1)],8)
[1,7,8,3,4,5,2,6]=>([(0,3),(0,5),(0,6),(2,7),(3,7),(4,2),(5,1),(6,4)],8)
[1,2,8,4,5,6,3,7]=>([(0,6),(2,7),(3,7),(4,5),(5,3),(6,1),(6,2),(6,4)],8)
[1,8,4,5,6,2,3,7]=>([(0,3),(0,5),(0,6),(1,7),(2,7),(4,1),(5,2),(6,4)],8)
[5,8,2,7,3,4,1,6]=>([(0,7),(1,4),(1,6),(2,3),(2,6),(2,7),(4,5),(5,7)],8)
[6,8,7,2,3,4,1,5]=>([(0,7),(1,6),(2,3),(2,4),(5,7),(6,5)],8)
[3,8,7,5,2,6,1,4]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(5,6)],8)
[4,8,7,3,2,5,1,6]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(3,7),(7,6)],8)
[5,3,8,1,6,7,4,2]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(7,4)],8)
[5,8,2,1,3,7,6,4]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(7,3),(7,5),(7,6)],8)
[5,1,8,3,6,7,4,2]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(5,3),(5,7),(7,2)],8)
[3,1,8,4,6,2,7,5]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(2,5),(3,4),(3,5),(7,2),(7,4)],8)
[8,4,1,6,5,2,3,7]=>([(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,7),(5,7),(6,7)],8)
[1,8,7,6,4,3,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)
[6,1,8,7,5,3,4,2]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(5,2)],8)
[6,8,7,3,2,4,1,5]=>([(0,7),(1,6),(2,6),(3,4),(3,5),(6,7)],8)
[2,3,7,5,6,8,4,1]=>([(1,6),(3,7),(4,7),(5,4),(6,2),(6,3),(6,5)],8)
[3,2,4,7,5,8,1,6]=>([(0,6),(1,5),(2,5),(3,7),(4,6),(4,7),(5,3),(5,4)],8)
[2,8,7,6,4,5,1,3]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(6,2)],8)
[4,8,7,6,3,1,5,2]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7)],8)
[3,5,2,4,7,6,8,1]=>([(1,7),(2,3),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)
[5,3,2,6,4,7,8,1]=>([(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(6,4),(7,6)],8)
[5,3,2,6,7,4,8,1]=>([(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,6),(7,4)],8)
[5,3,2,7,6,4,8,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[7,3,5,2,8,4,6,1]=>([(1,7),(2,5),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6)],8)
[3,5,2,7,4,6,8,1]=>([(1,3),(1,5),(2,5),(2,7),(3,6),(3,7),(5,6),(6,4),(7,4)],8)
[3,2,5,7,4,6,8,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(5,4),(6,5),(7,3),(7,5)],8)
[3,2,7,5,4,8,6,1]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,3),(5,7),(6,3),(6,7)],8)
[3,7,5,2,4,8,6,1]=>([(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,7,5,4,8,6,1]=>([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3),(5,4)],8)
[3,4,7,6,8,2,5,1]=>([(1,3),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[5,2,8,4,1,3,6,7]=>([(0,6),(1,5),(1,7),(2,3),(2,5),(2,6),(3,7),(6,7),(7,4)],8)
[3,8,5,2,1,4,6,7]=>([(0,7),(1,7),(2,3),(2,4),(2,7),(4,6),(6,5),(7,6)],8)
[7,6,4,1,8,2,5,3]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6)],8)
[7,5,4,2,1,6,3,8]=>([(0,7),(1,7),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[8,1,6,7,3,4,2,5]=>([(1,4),(1,5),(1,6),(3,7),(4,7),(5,3),(6,2)],8)
[8,2,1,6,7,4,3,5]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(5,3),(6,4),(7,4)],8)
[5,2,8,6,3,7,1,4]=>([(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(7,4)],8)
[7,6,8,1,2,5,4,3]=>([(0,7),(1,7),(2,6),(6,3),(6,4),(6,5)],8)
[2,1,3,4,8,5,7,6]=>([(0,7),(1,7),(5,3),(5,4),(6,2),(6,5),(7,6)],8)
[5,7,1,2,6,8,3,4]=>([(0,5),(1,3),(1,7),(3,6),(4,2),(5,4),(5,7),(7,6)],8)
[1,5,2,3,6,8,7,4]=>([(0,4),(0,6),(4,7),(5,1),(5,7),(6,5),(7,2),(7,3)],8)
[3,5,7,4,1,8,2,6]=>([(0,4),(0,7),(1,3),(1,5),(2,7),(3,6),(3,7),(4,6),(5,2),(5,6)],8)
[8,6,4,7,5,1,2,3]=>([(1,7),(2,5),(3,4),(3,7),(5,6)],8)
[8,6,4,1,2,5,3,7]=>([(1,7),(2,6),(3,4),(4,5),(4,6),(5,7),(6,7)],8)
[2,8,4,3,1,6,5,7]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[3,8,4,6,1,5,2,7]=>([(0,4),(0,6),(1,2),(1,5),(3,7),(4,7),(5,3),(5,6),(6,7)],8)
[8,3,5,6,1,4,7,2]=>([(1,3),(1,6),(2,4),(2,6),(4,5),(5,7),(6,7)],8)
[6,8,7,3,5,4,2,1]=>([(2,6),(2,7),(3,4),(3,5)],8)
[3,1,2,8,5,7,4,6]=>([(0,3),(1,5),(1,6),(1,7),(3,5),(3,6),(3,7),(6,4),(7,2),(7,4)],8)
[7,3,1,2,5,8,4,6]=>([(0,3),(1,5),(2,6),(2,7),(3,6),(3,7),(6,4),(7,4),(7,5)],8)
[8,3,5,7,2,1,4,6]=>([(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(7,6)],8)
[2,1,3,8,5,7,4,6]=>([(0,7),(1,7),(4,6),(5,3),(5,6),(7,2),(7,4),(7,5)],8)
[7,3,1,2,8,4,5,6]=>([(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(4,5),(6,4)],8)
[2,1,4,7,6,3,5,8]=>([(0,5),(0,6),(1,5),(1,6),(2,7),(3,7),(4,7),(5,4),(6,2),(6,3),(6,4)],8)
[7,2,4,5,3,8,1,6]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,2,5,6,7,3,1]=>([(2,7),(3,4),(3,7),(5,6),(7,5)],8)
[5,4,1,6,3,7,8,2]=>([(0,7),(1,7),(2,3),(2,4),(2,7),(4,6),(6,5),(7,6)],8)
[4,5,1,3,6,7,8,2]=>([(0,5),(1,3),(1,4),(4,7),(5,7),(6,2),(7,6)],8)
[5,1,7,6,3,4,8,2]=>([(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(3,7),(4,3),(5,7),(6,7)],8)
[6,1,7,5,4,8,2,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,2),(6,7)],8)
[3,7,2,1,6,8,4,5]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(4,5),(6,5),(7,3)],8)
[1,5,8,2,4,7,6,3]=>([(0,4),(0,5),(3,6),(3,7),(4,2),(4,6),(4,7),(5,1),(5,3)],8)
[5,8,1,6,4,7,3,2]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(1,7),(4,6),(7,6)],8)
[3,8,6,5,7,2,4,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[6,8,1,4,7,3,5,2]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(3,6),(4,6),(4,7)],8)
[1,6,8,2,7,4,5,3]=>([(0,5),(0,6),(4,3),(5,1),(5,7),(6,2),(6,4),(6,7)],8)
[5,7,2,1,8,4,3,6]=>([(0,4),(0,5),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(3,7),(4,6),(5,6)],8)
[5,7,1,6,8,3,2,4]=>([(0,4),(0,7),(1,2),(1,3),(1,7),(2,5),(3,5),(4,6),(7,6)],8)
[5,6,2,1,8,3,4,7]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(3,6),(3,7),(4,6),(5,4)],8)
[6,4,1,7,3,8,2,5]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(2,6),(3,7),(4,5),(4,7),(6,5)],8)
[8,2,5,6,7,1,4,3]=>([(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(5,4)],8)
[7,2,4,6,8,3,1,5]=>([(0,7),(1,6),(2,3),(2,4),(3,7),(4,5),(4,7),(5,6)],8)
[6,2,4,7,8,1,3,5]=>([(0,7),(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(7,3)],8)
[6,1,4,3,2,8,5,7]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[2,7,4,8,6,1,5,3]=>([(0,6),(0,7),(1,3),(1,4),(1,7),(3,5),(4,2),(4,5),(4,6)],8)
[2,4,8,6,5,7,3,1]=>([(1,3),(1,6),(4,7),(5,7),(6,2),(6,4),(6,5)],8)
[3,7,8,6,4,2,5,1]=>([(1,7),(2,4),(2,5),(2,6),(5,7),(6,3)],8)
[6,2,8,4,7,5,1,3]=>([(0,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,7)],8)
[1,4,7,2,6,8,5,3]=>([(0,3),(0,4),(2,7),(3,1),(3,5),(3,6),(4,2),(4,5),(4,6),(6,7)],8)
[4,2,8,5,1,6,3,7]=>([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(5,3),(6,5),(7,3)],8)
[6,5,8,1,4,2,3,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(4,7),(5,7)],8)
[2,3,8,4,1,6,5,7]=>([(0,6),(0,7),(1,4),(3,6),(3,7),(4,2),(4,3),(6,5),(7,5)],8)
[4,5,7,3,1,6,2,8]=>([(0,6),(1,4),(2,3),(2,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,1,8,7,4,6,3,2]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(4,5)],8)
[2,4,8,7,5,1,3,6]=>([(0,7),(1,5),(1,7),(4,6),(5,2),(5,3),(5,4),(7,6)],8)
[3,5,7,6,1,8,4,2]=>([(0,5),(0,6),(1,4),(1,6),(1,7),(2,7),(3,7),(5,2),(5,3)],8)
[3,5,7,6,2,8,4,1]=>([(1,3),(1,6),(2,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)
[1,5,3,2,8,7,6,4]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[6,1,4,3,8,7,5,2]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,3,1,8,7,4,2,5]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(4,5)],8)
[5,3,6,2,8,7,4,1]=>([(1,5),(2,4),(2,6),(2,7),(3,4),(3,5),(5,6),(5,7)],8)
[6,3,5,2,1,8,7,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7)],8)
[2,8,4,1,3,7,6,5]=>([(0,7),(1,2),(1,3),(1,7),(3,4),(3,5),(3,6),(7,4),(7,5),(7,6)],8)
[3,8,1,4,7,6,5,2]=>([(0,6),(0,7),(1,5),(1,7),(7,2),(7,3),(7,4)],8)
[6,2,3,8,7,5,4,1]=>([(1,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[4,1,3,5,8,7,6,2]=>([(0,7),(1,2),(1,3),(3,7),(7,4),(7,5),(7,6)],8)
[3,4,7,5,8,1,2,6]=>([(0,4),(1,5),(2,6),(3,6),(3,7),(4,7),(5,2),(5,3)],8)
[2,7,8,3,4,1,5,6]=>([(0,7),(1,5),(1,6),(3,7),(5,2),(6,3),(7,4)],8)
[2,8,6,7,5,4,3,1]=>([(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8)
[7,2,6,8,1,4,3,5]=>([(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(6,4),(7,4)],8)
[5,3,6,2,8,4,7,1]=>([(1,5),(2,4),(2,6),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[8,1,6,3,7,4,5,2]=>([(1,3),(1,4),(1,6),(4,7),(5,2),(6,5),(6,7)],8)
[2,4,3,7,1,8,6,5]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4)],8)
[2,6,5,7,3,8,4,1]=>([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,7),(6,7)],8)
[6,8,2,7,4,1,5,3]=>([(0,6),(0,7),(1,3),(1,5),(2,4),(2,5),(2,6),(4,7)],8)
[6,1,7,8,5,3,2,4]=>([(0,7),(1,3),(1,4),(1,5),(1,7),(4,6),(5,6),(7,2)],8)
[2,6,5,4,7,1,8,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,7),(7,6)],8)
[5,8,3,4,6,1,7,2]=>([(0,5),(1,3),(1,7),(2,4),(2,6),(5,7),(7,6)],8)
[6,1,7,4,2,5,8,3]=>([(0,7),(1,3),(1,4),(1,7),(3,5),(4,2),(4,5),(5,6),(7,6)],8)
[6,8,7,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,7),(7,2)],8)
[4,8,3,1,5,7,6,2]=>([(0,7),(1,6),(1,7),(2,5),(2,7),(7,3),(7,4)],8)
[5,3,8,2,7,1,6,4]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[8,3,4,5,2,7,1,6]=>([(1,7),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)
[7,1,5,2,6,3,4,8]=>([(0,7),(1,3),(1,5),(2,7),(3,6),(4,2),(5,4),(5,6),(6,7)],8)
[3,7,1,5,2,6,8,4]=>([(0,3),(0,7),(1,2),(1,4),(1,7),(2,5),(3,4),(3,6),(6,5),(7,6)],8)
[6,7,1,8,3,4,5,2]=>([(0,4),(1,3),(1,6),(1,7),(4,7),(5,2),(6,5)],8)
[3,7,1,6,8,4,5,2]=>([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(4,5),(6,5),(7,2)],8)
[3,8,5,2,6,7,1,4]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(4,6),(6,5)],8)
[3,6,5,2,7,1,4,8]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(2,6),(3,7),(4,7),(6,5),(7,5)],8)
[6,8,3,4,7,1,5,2]=>([(0,5),(1,4),(1,7),(2,3),(2,6),(5,6),(5,7)],8)
[3,7,1,6,5,2,8,4]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,7),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,5,2,7,1,6,4]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7)],8)
[7,1,8,4,6,3,5,2]=>([(0,7),(1,3),(1,4),(1,5),(1,7),(4,6),(5,2),(5,6)],8)
[3,8,6,4,7,1,5,2]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(3,6),(4,6),(4,7)],8)
[3,7,1,4,8,6,5,2]=>([(0,5),(0,7),(1,4),(1,7),(5,6),(7,2),(7,3),(7,6)],8)
[3,7,1,4,5,2,8,6]=>([(0,3),(0,6),(1,4),(1,6),(2,5),(2,7),(3,7),(4,5),(4,7),(6,2)],8)
[2,3,7,6,5,8,1,4]=>([(0,6),(1,5),(2,7),(3,7),(4,7),(5,2),(5,3),(5,4),(5,6)],8)
[3,5,7,6,8,2,1,4]=>([(0,7),(1,7),(2,3),(2,7),(3,4),(3,5),(4,6),(5,6)],8)
[4,2,5,3,7,6,1,8]=>([(0,4),(1,7),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[6,2,4,3,7,5,1,8]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[1,3,6,4,7,5,2,8]=>([(0,3),(0,5),(1,7),(2,6),(3,7),(4,1),(4,6),(5,2),(5,4),(6,7)],8)
[8,2,5,3,6,4,1,7]=>([(1,7),(2,3),(2,4),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,2,5,3,6,4,1,8]=>([(0,7),(1,7),(2,3),(2,4),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[6,2,5,3,7,4,1,8]=>([(0,7),(1,6),(2,3),(2,4),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[4,2,6,3,7,5,1,8]=>([(0,7),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6),(5,7),(6,7)],8)
[5,2,7,3,6,4,1,8]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[7,3,6,2,5,4,1,8]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[6,3,8,2,5,4,1,7]=>([(0,7),(1,4),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[7,3,1,4,6,5,2,8]=>([(0,7),(1,6),(2,3),(2,6),(3,7),(4,7),(5,7),(6,4),(6,5)],8)
[8,3,7,2,5,4,1,6]=>([(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[5,2,8,3,6,4,1,7]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,7),(6,7)],8)
[3,2,8,4,6,5,1,7]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(6,3),(6,4)],8)
[1,4,7,3,6,5,2,8]=>([(0,2),(0,3),(0,4),(1,7),(2,7),(3,5),(3,6),(4,1),(4,5),(4,6),(5,7),(6,7)],8)
[8,2,5,4,1,6,3,7]=>([(1,5),(1,7),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[8,2,6,4,1,5,3,7]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,4,8,3,7,5,2,6]=>([(0,2),(0,3),(0,4),(2,7),(3,5),(3,6),(4,1),(4,5),(4,6),(6,7)],8)
[6,2,1,4,8,5,3,7]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,7),(3,7),(5,7),(6,3),(6,4)],8)
[5,2,1,4,8,6,3,7]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(5,3),(6,3),(7,4),(7,5)],8)
[3,2,1,5,8,6,4,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(4,5),(6,5),(7,3),(7,4)],8)
[4,2,8,3,7,5,1,6]=>([(0,5),(1,3),(1,6),(2,4),(2,6),(2,7),(3,4),(3,7),(7,5)],8)
[5,2,8,3,7,4,1,6]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(3,4),(3,6),(4,7)],8)
[8,3,7,2,6,4,1,5]=>([(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(6,7)],8)
[7,3,1,4,8,5,2,6]=>([(0,6),(1,5),(2,4),(2,6),(3,7),(4,7),(6,3),(6,5)],8)
[1,3,7,4,8,5,2,6]=>([(0,3),(0,5),(1,7),(2,6),(3,6),(4,2),(4,7),(5,1),(5,4)],8)
[8,2,6,3,7,4,1,5]=>([(1,6),(2,3),(2,4),(3,7),(4,5),(4,7),(5,6)],8)
[7,2,6,3,8,4,1,5]=>([(0,7),(1,6),(2,3),(2,4),(3,7),(4,5),(4,7),(5,6)],8)
[5,2,7,3,8,4,1,6]=>([(0,7),(1,5),(1,7),(2,3),(2,5),(3,4),(3,6),(4,7),(5,6)],8)
[3,2,7,4,8,5,1,6]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,5),(6,4),(7,3),(7,4)],8)
[5,2,6,3,8,4,1,7]=>([(0,7),(1,5),(2,3),(2,5),(3,4),(3,6),(4,7),(5,6),(5,7)],8)
[6,2,5,3,8,4,1,7]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(4,6),(4,7),(5,7)],8)
[7,2,5,3,8,4,1,6]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
[8,2,5,3,7,4,1,6]=>([(1,7),(2,3),(2,4),(3,5),(3,6),(4,6),(4,7),(5,7)],8)
[1,3,6,4,8,5,2,7]=>([(0,3),(0,5),(1,7),(2,6),(2,7),(3,7),(4,1),(4,6),(5,2),(5,4)],8)
[1,3,5,4,8,6,2,7]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,7),(4,1),(4,2),(6,7)],8)
[8,2,4,3,7,5,1,6]=>([(1,5),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[7,2,4,3,8,5,1,6]=>([(0,7),(1,5),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[6,2,4,3,8,5,1,7]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[5,2,4,3,8,6,1,7]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[4,2,5,3,8,6,1,7]=>([(0,5),(1,7),(2,3),(2,7),(3,4),(3,6),(6,5),(7,4),(7,6)],8)
[4,2,5,3,1,7,6,8]=>([(0,6),(0,7),(1,4),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[6,2,4,3,1,7,5,8]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[7,2,4,3,1,6,5,8]=>([(0,5),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[8,5,1,3,6,4,2,7]=>([(1,6),(2,3),(2,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,4,1,3,6,5,2,7]=>([(1,5),(1,6),(2,3),(2,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,5,2,4,7,6,3,8]=>([(0,3),(0,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(5,7),(6,7)],8)
[7,2,5,3,1,6,4,8]=>([(0,6),(1,5),(1,7),(2,3),(2,4),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[6,2,5,3,1,7,4,8]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[4,2,6,3,1,7,5,8]=>([(0,6),(0,7),(1,4),(1,6),(2,3),(2,4),(3,6),(3,7),(4,7),(6,5),(7,5)],8)
[3,2,6,4,1,7,5,8]=>([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(4,7),(5,3),(6,5),(6,7),(7,3)],8)
[3,2,7,4,1,6,5,8]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[4,2,7,3,1,6,5,8]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(6,5),(7,5)],8)
[5,2,7,3,1,6,4,8]=>([(0,5),(0,7),(1,4),(1,7),(2,3),(2,4),(3,5),(3,7),(4,6),(5,6),(7,6)],8)
[6,2,7,3,1,5,4,8]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[7,2,6,3,1,5,4,8]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,5,2,4,8,6,3,7]=>([(0,3),(0,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(6,7)],8)
[8,4,1,3,7,5,2,6]=>([(1,5),(1,6),(2,3),(2,4),(3,7),(4,5),(4,6),(6,7)],8)
[6,2,1,5,3,7,4,8]=>([(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(4,7),(5,3),(5,7),(7,6)],8)
[3,2,1,6,4,7,5,8]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(6,4),(7,3),(7,4)],8)
[3,2,8,5,1,6,4,7]=>([(0,5),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(5,3),(6,5),(7,3)],8)
[6,2,8,4,1,5,3,7]=>([(0,5),(0,6),(1,4),(1,7),(2,3),(2,4),(2,5),(3,6),(5,7),(6,7)],8)
[8,3,7,4,1,5,2,6]=>([(1,4),(1,6),(2,3),(2,5),(4,7),(5,6),(6,7)],8)
[7,1,3,2,5,6,4,8]=>([(0,7),(1,3),(1,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,2)],8)
[6,3,5,2,4,8,1,7]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,2,8,7,4,3,6]=>([(0,3),(0,4),(1,7),(2,7),(3,5),(3,6),(3,7),(4,1),(4,2),(4,5),(4,6)],8)
[5,7,2,8,1,4,3,6]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,7),(3,6),(4,7),(5,7)],8)
[5,8,2,7,1,4,3,6]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,7),(5,7),(6,7)],8)
[4,8,3,1,5,2,7,6]=>([(0,7),(1,3),(1,7),(2,4),(2,7),(4,5),(4,6),(7,5),(7,6)],8)
[7,1,5,3,2,6,8,4]=>([(0,6),(1,2),(1,3),(1,4),(2,7),(3,5),(3,7),(4,5),(4,7),(7,6)],8)
[8,6,2,3,1,5,7,4]=>([(1,5),(2,6),(2,7),(3,4),(4,6),(4,7),(7,5)],8)
[1,4,2,7,3,6,8,5]=>([(0,1),(0,3),(1,2),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[3,2,1,7,8,5,4,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(5,4),(6,4),(7,3)],8)
[7,3,4,2,1,5,8,6]=>([(0,7),(1,7),(2,6),(3,4),(4,7),(7,5),(7,6)],8)
[1,7,6,3,2,4,8,5]=>([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,6),(6,1),(6,7)],8)
[2,1,6,4,7,8,5,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,2),(6,4),(7,3),(7,4)],8)
[1,6,3,2,4,7,8,5]=>([(0,3),(0,4),(0,5),(3,7),(4,6),(5,6),(6,1),(6,7),(7,2)],8)
[1,2,3,7,5,8,4,6]=>([(0,4),(1,7),(2,6),(3,6),(3,7),(4,5),(5,1),(5,2),(5,3)],8)
[1,8,5,3,2,4,7,6]=>([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,8,1,5,6,2,3]=>([(0,6),(0,7),(1,5),(1,7),(5,2),(6,3),(7,4)],8)
[3,6,7,1,8,4,2,5]=>([(0,3),(0,6),(0,7),(1,4),(1,7),(2,6),(3,5),(4,2),(7,5)],8)
[1,3,7,6,2,4,5,8]=>([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,6),(6,3)],8)
[2,7,3,8,4,5,6,1]=>([(1,3),(1,6),(3,7),(4,5),(5,2),(6,4),(6,7)],8)
[7,1,4,3,8,5,6,2]=>([(0,7),(1,2),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[5,6,2,7,8,3,4,1]=>([(1,5),(2,6),(2,7),(5,7),(6,3),(7,4)],8)
[7,4,1,8,5,6,2,3]=>([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(6,4)],8)
[7,2,5,8,1,6,3,4]=>([(0,6),(1,5),(1,7),(2,4),(2,5),(4,6),(4,7),(5,3)],8)
[6,4,8,1,5,7,2,3]=>([(0,5),(0,7),(1,5),(1,6),(2,3),(2,6),(3,4),(6,7)],8)
[2,7,4,1,3,6,8,5]=>([(0,7),(1,2),(1,3),(1,7),(2,5),(3,4),(3,6),(6,5),(7,4),(7,6)],8)
[6,2,1,4,7,5,8,3]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(6,4),(7,3),(7,6)],8)
[2,6,1,5,4,7,3,8]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,7),(4,7),(5,7),(6,3),(7,3)],8)
[2,3,6,8,4,1,7,5]=>([(0,6),(0,7),(1,5),(3,6),(3,7),(4,2),(4,7),(5,3),(5,4)],8)
[1,7,2,8,6,3,5,4]=>([(0,4),(0,6),(4,7),(5,2),(5,3),(6,1),(6,5),(6,7)],8)
[8,4,2,3,7,1,6,5]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[5,2,4,8,7,3,1,6]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,7),(4,5),(4,6),(4,7)],8)
[8,3,2,6,7,4,1,5]=>([(1,6),(2,5),(2,7),(3,5),(3,7),(5,6),(7,4)],8)
[3,2,4,6,7,8,1,5]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,3),(6,7)],8)
[5,2,6,8,1,3,7,4]=>([(0,7),(1,6),(2,6),(2,7),(6,3),(6,5),(7,4),(7,5)],8)
[4,8,1,6,3,7,5,2]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(1,7),(3,5),(3,6),(7,5)],8)
[7,1,5,2,6,4,3,8]=>([(0,7),(1,4),(1,5),(2,7),(3,7),(4,6),(5,2),(5,3),(5,6),(6,7)],8)
[8,3,5,2,6,1,4,7]=>([(1,7),(2,6),(2,7),(3,4),(3,7),(4,6),(6,5),(7,5)],8)
[1,8,5,6,2,7,4,3]=>([(0,4),(0,5),(0,6),(3,7),(5,3),(6,1),(6,2),(6,7)],8)
[8,3,2,4,6,7,1,5]=>([(1,7),(2,7),(3,6),(4,5),(7,4),(7,6)],8)
[4,2,7,6,1,8,5,3]=>([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[7,2,4,8,6,3,5,1]=>([(1,6),(2,3),(2,4),(3,7),(4,5),(4,6),(4,7)],8)
[7,3,2,1,8,5,4,6]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4),(6,4)],8)
[7,3,2,1,6,4,8,5]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(7,4),(7,6)],8)
[3,6,5,2,1,8,4,7]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6)],8)
[6,7,2,4,3,5,8,1]=>([(1,5),(2,3),(2,4),(3,7),(4,7),(5,6),(7,6)],8)
[4,3,8,2,1,5,7,6]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(7,4),(7,5)],8)
[4,3,2,8,1,6,7,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[4,5,8,3,2,7,1,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[6,8,5,2,7,3,4,1]=>([(1,7),(2,4),(2,7),(3,5),(3,7),(5,6)],8)
[5,4,7,8,2,3,6,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(4,7),(6,5)],8)
[4,3,8,2,1,6,7,5]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[3,5,7,4,6,2,8,1]=>([(1,7),(2,3),(2,4),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[5,3,7,6,2,4,8,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,6,7,2,5,3,8,1]=>([(1,3),(1,6),(2,4),(2,6),(3,5),(4,7),(5,7),(6,7)],8)
[6,4,7,8,3,1,5,2]=>([(0,7),(1,6),(2,6),(2,7),(3,4),(3,7),(6,5)],8)
[8,4,7,3,1,5,6,2]=>([(1,7),(2,5),(2,7),(3,4),(3,7),(7,6)],8)
[5,8,1,7,6,4,2,3]=>([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(5,2)],8)
[5,6,7,1,8,3,4,2]=>([(0,6),(1,3),(1,5),(1,7),(4,7),(5,2),(6,4)],8)
[7,1,8,6,2,5,4,3]=>([(0,7),(1,5),(1,6),(1,7),(6,2),(6,3),(6,4)],8)
[8,5,1,7,6,4,2,3]=>([(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(4,5)],8)
[1,5,8,2,6,4,7,3]=>([(0,4),(0,5),(2,7),(4,3),(4,6),(5,1),(5,2),(5,6),(6,7)],8)
[1,5,7,4,6,8,3,2]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(4,6),(5,1),(5,6),(6,7)],8)
[1,4,7,5,6,8,3,2]=>([(0,3),(0,4),(0,6),(1,7),(2,7),(5,2),(6,1),(6,5)],8)
[5,6,7,4,8,1,3,2]=>([(0,7),(1,6),(2,3),(2,4),(5,7),(6,5)],8)
[8,1,2,6,4,5,7,3]=>([(1,6),(3,7),(4,7),(5,4),(6,2),(6,3),(6,5)],8)
[4,8,1,7,2,5,6,3]=>([(0,4),(0,6),(0,7),(1,5),(1,6),(5,3),(5,7),(7,2)],8)
[2,6,7,1,5,4,8,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,7),(3,2),(5,7),(6,7)],8)
[3,2,7,6,5,8,1,4]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7)],8)
[1,7,3,4,5,8,2,6]=>([(0,2),(0,3),(0,5),(1,6),(1,7),(2,7),(3,6),(4,1),(5,4)],8)
[7,1,8,4,5,6,3,2]=>([(0,7),(1,3),(1,4),(1,6),(1,7),(5,2),(6,5)],8)
[1,2,7,4,5,8,3,6]=>([(0,5),(1,7),(2,6),(3,6),(3,7),(4,3),(5,1),(5,2),(5,4)],8)
[6,7,3,2,5,8,1,4]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(4,6),(5,6)],8)
[6,1,8,4,5,3,7,2]=>([(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(3,7),(4,7),(5,3)],8)
[4,6,2,5,1,8,7,3]=>([(0,4),(0,6),(0,7),(1,4),(1,5),(2,3),(2,5),(3,6),(3,7),(5,6),(5,7)],8)
[5,1,4,6,2,8,7,3]=>([(0,7),(1,3),(1,4),(3,7),(4,2),(4,5),(4,6),(7,5),(7,6)],8)
[7,3,5,2,1,6,8,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(4,7),(7,5)],8)
[8,5,1,2,6,3,7,4]=>([(1,3),(2,6),(3,5),(3,6),(5,4),(5,7),(6,7)],8)
[1,5,8,7,4,6,3,2]=>([(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,2),(6,7)],8)
[5,7,2,1,3,6,8,4]=>([(0,6),(1,6),(2,4),(2,5),(4,7),(5,7),(6,3),(6,5)],8)
[3,7,2,6,8,1,5,4]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(4,5)],8)
[7,4,8,6,5,1,3,2]=>([(0,7),(1,3),(1,4),(2,5),(2,6),(2,7)],8)
[2,7,6,8,5,1,4,3]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(3,5),(4,5)],8)
[1,6,4,5,7,3,8,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,7),(4,6),(5,1),(6,7)],8)
[1,5,4,7,8,6,2,3]=>([(0,3),(0,4),(0,5),(3,6),(3,7),(4,6),(4,7),(5,2),(7,1)],8)
[7,3,1,6,8,2,5,4]=>([(0,6),(1,3),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(7,6)],8)
[7,1,6,8,5,2,4,3]=>([(0,7),(1,4),(1,5),(1,6),(5,7),(6,2),(6,3)],8)
[3,5,8,7,6,4,1,2]=>([(0,6),(1,5),(1,7),(7,2),(7,3),(7,4)],8)
[1,5,7,8,6,2,4,3]=>([(0,6),(0,7),(5,4),(6,2),(6,3),(7,1),(7,5)],8)
[3,6,2,1,4,7,8,5]=>([(0,7),(1,7),(2,4),(2,7),(4,6),(6,5),(7,3),(7,6)],8)
[6,8,2,7,5,4,3,1]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7)],8)
[5,8,1,7,6,4,3,2]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7)],8)
[8,6,3,2,1,5,4,7]=>([(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,5,3,2,4,1,7,6]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8)
[7,5,2,4,3,6,8,1]=>([(1,7),(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[8,5,1,4,6,3,2,7]=>([(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(6,7)],8)
[8,5,1,6,3,4,2,7]=>([(1,6),(2,3),(2,4),(2,6),(3,5),(4,7),(5,7),(6,7)],8)
[8,4,3,6,1,5,2,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[8,4,3,5,2,1,7,6]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8)
[6,4,3,2,8,7,1,5]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,5,1,4,3,7,2,6]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,4,2,1,3,7,6]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8)
[4,7,3,6,1,8,5,2]=>([(0,5),(0,6),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[7,6,2,4,1,5,8,3]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(4,6),(6,7)],8)
[8,1,6,3,7,4,2,5]=>([(1,3),(1,4),(1,5),(2,6),(3,6),(4,7),(5,2),(5,7)],8)
[5,3,8,2,6,7,1,4]=>([(0,6),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[8,2,5,1,7,6,3,4]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(5,3)],8)
[8,2,4,6,3,7,1,5]=>([(1,7),(2,3),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
[7,2,6,4,3,5,8,1]=>([(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(5,6),(6,7)],8)
[7,3,6,2,4,5,8,1]=>([(1,7),(2,6),(3,4),(3,6),(4,7),(5,7),(6,5)],8)
[8,3,7,2,1,4,6,5]=>([(1,7),(2,7),(3,4),(3,7),(7,5),(7,6)],8)
[7,6,4,1,3,2,8,5]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,8,2,1,5,6,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(3,6),(3,7),(7,4)],8)
[6,2,5,7,4,3,8,1]=>([(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(6,7)],8)
[6,2,5,4,8,7,1,3]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[7,2,4,8,5,1,6,3]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(3,4),(3,7),(4,6)],8)
[4,2,7,6,8,5,1,3]=>([(0,5),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3),(7,3)],8)
[7,1,6,2,8,5,4,3]=>([(0,7),(1,5),(1,6),(5,7),(6,2),(6,3),(6,4),(6,7)],8)
[7,1,6,3,8,5,2,4]=>([(0,7),(1,3),(1,4),(1,5),(3,7),(4,6),(5,2),(5,6),(5,7)],8)
[7,2,6,8,1,3,5,4]=>([(0,7),(1,6),(2,3),(2,6),(3,7),(6,4),(6,5)],8)
[7,2,8,5,1,3,6,4]=>([(0,6),(1,5),(2,4),(2,5),(2,6),(4,7),(6,3),(6,7)],8)
[7,1,8,5,3,2,6,4]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7)],8)
[7,1,8,2,5,6,4,3]=>([(0,7),(1,6),(1,7),(5,4),(6,2),(6,3),(6,5)],8)
[6,1,5,8,7,2,4,3]=>([(0,6),(0,7),(1,4),(1,5),(4,6),(4,7),(5,2),(5,3)],8)
[6,1,5,7,4,8,3,2]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(4,7),(5,6),(7,6)],8)
[6,1,5,7,8,3,4,2]=>([(0,7),(1,3),(1,4),(1,6),(4,7),(6,2),(7,5)],8)
[4,6,7,3,1,8,5,2]=>([(0,6),(0,7),(1,4),(1,6),(2,3),(2,6),(2,7),(4,5),(5,7)],8)
[4,2,6,3,1,8,7,5]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(3,7),(4,6),(4,7)],8)
[6,1,4,2,5,8,7,3]=>([(0,6),(0,7),(1,3),(1,4),(3,5),(4,2),(4,5),(5,6),(5,7)],8)
[1,5,3,8,4,6,2,7]=>([(0,2),(0,3),(0,4),(1,5),(2,7),(3,5),(3,6),(4,1),(4,6),(5,7)],8)
[7,2,3,5,8,4,1,6]=>([(0,3),(1,7),(2,6),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[7,6,4,2,8,5,1,3]=>([(0,7),(1,7),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7)],8)
[1,7,6,4,8,5,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,1),(6,7)],8)
[8,7,4,2,1,5,6,3]=>([(2,7),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[8,2,3,5,1,4,6,7]=>([(1,7),(2,3),(3,5),(3,7),(5,6),(6,4),(7,6)],8)
[8,7,4,1,3,2,6,5]=>([(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,4,8,3,6,2,5]=>([(0,6),(1,2),(1,3),(1,4),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7)],8)
[4,1,8,5,7,6,2,3]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(5,4),(7,2),(7,3)],8)
[3,7,5,8,4,2,1,6]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(5,6),(5,7)],8)
[6,1,5,8,3,4,2,7]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(4,7),(5,2)],8)
[6,7,5,1,3,2,4,8]=>([(0,7),(1,3),(2,4),(2,5),(3,7),(4,6),(5,6),(6,7)],8)
[5,2,6,1,7,3,4,8]=>([(0,7),(1,5),(1,7),(2,5),(2,6),(3,4),(5,3),(6,4),(7,6)],8)
[4,2,6,8,3,7,1,5]=>([(0,7),(1,5),(1,7),(2,3),(2,5),(3,6),(3,7),(5,4),(5,6)],8)
[6,8,5,1,4,2,3,7]=>([(0,7),(1,3),(1,7),(2,5),(2,6),(4,7),(5,7),(6,4)],8)
[7,8,4,5,1,3,6,2]=>([(0,6),(1,5),(2,3),(2,4),(4,7),(6,7)],8)
[1,7,8,5,3,4,6,2]=>([(0,3),(0,4),(0,5),(0,6),(2,7),(4,7),(5,1),(6,2)],8)
[1,5,8,3,6,4,7,2]=>([(0,3),(0,4),(0,5),(2,7),(4,1),(4,6),(5,2),(5,6),(6,7)],8)
[6,3,8,1,4,2,7,5]=>([(0,4),(0,7),(1,4),(1,5),(2,3),(2,5),(3,6),(3,7),(5,6),(5,7)],8)
[4,8,1,5,6,3,7,2]=>([(0,5),(0,7),(1,2),(1,4),(1,7),(3,6),(4,6),(7,3)],8)
[1,8,2,6,5,3,7,4]=>([(0,4),(0,6),(2,7),(3,7),(5,1),(5,7),(6,2),(6,3),(6,5)],8)
[3,8,1,7,2,6,5,4]=>([(0,3),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(3,4),(3,5),(3,6)],8)
[7,3,8,1,2,6,5,4]=>([(0,3),(1,4),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7)],8)
[8,1,4,2,3,5,7,6]=>([(1,3),(1,6),(2,7),(3,7),(6,2),(7,4),(7,5)],8)
[8,1,2,4,6,5,7,3]=>([(1,6),(3,7),(4,7),(5,3),(5,4),(6,2),(6,5)],8)
[5,1,8,3,7,4,6,2]=>([(0,5),(0,6),(0,7),(1,2),(1,4),(1,7),(3,5),(4,3),(4,6)],8)
[8,3,7,1,5,4,6,2]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(5,7),(6,7)],8)
[8,4,7,1,5,3,6,2]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(5,7),(6,7)],8)
[7,2,5,3,4,6,1,8]=>([(0,7),(1,7),(2,3),(2,4),(3,5),(4,6),(5,6),(6,7)],8)
[7,6,4,2,5,3,1,8]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[5,8,4,3,6,2,7,1]=>([(1,7),(2,7),(3,6),(4,5),(4,7),(7,6)],8)
[1,7,2,6,3,4,8,5]=>([(0,3),(0,6),(2,7),(3,7),(4,5),(5,1),(5,7),(6,2),(6,4)],8)
[7,5,1,6,3,2,4,8]=>([(0,7),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,7),(6,7)],8)
[7,1,2,6,3,4,5,8]=>([(0,7),(1,6),(2,7),(3,7),(4,5),(5,3),(6,2),(6,4)],8)
[7,3,1,4,6,2,5,8]=>([(0,7),(1,5),(2,3),(2,5),(3,6),(4,7),(5,4),(5,6),(6,7)],8)
[7,1,6,5,4,2,3,8]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2)],8)
[5,8,4,3,1,7,2,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(5,7)],8)
[3,6,8,5,2,4,7,1]=>([(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(4,7),(6,7)],8)
[5,7,8,4,3,2,6,1]=>([(1,7),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,3,8,4,7,2,6,5]=>([(0,3),(0,5),(3,6),(3,7),(4,2),(4,6),(4,7),(5,1),(5,4)],8)
[6,7,1,3,2,8,5,4]=>([(0,4),(1,2),(1,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7)],8)
[1,5,3,2,6,8,4,7]=>([(0,2),(0,3),(0,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(7,1),(7,6)],8)
[5,4,3,1,7,2,8,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(6,5)],8)
[3,7,6,5,8,2,4,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7)],8)
[5,7,4,2,8,6,1,3]=>([(0,6),(0,7),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(4,7)],8)
[5,4,3,7,8,2,6,1]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[3,8,5,7,6,2,4,1]=>([(1,7),(2,5),(2,6),(2,7),(6,3),(6,4)],8)
[1,3,6,8,7,2,5,4]=>([(0,3),(0,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,1),(5,2)],8)
[5,8,7,1,4,2,3,6]=>([(0,5),(0,6),(1,3),(1,4),(1,7),(2,7),(5,7),(6,2)],8)
[2,6,3,7,1,4,5,8]=>([(0,7),(1,3),(1,4),(2,6),(3,5),(4,5),(4,7),(5,6),(7,2)],8)
[7,6,8,4,3,1,5,2]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(4,7)],8)
[1,7,6,5,3,2,4,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[2,7,6,5,4,1,3,8]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,2,3,5,8,4,1,7]=>([(0,3),(1,7),(2,6),(2,7),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[4,7,6,1,5,8,3,2]=>([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(4,7),(5,7),(6,7)],8)
[6,8,7,1,5,4,3,2]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5)],8)
[8,7,4,6,5,1,3,2]=>([(2,6),(2,7),(3,4),(3,5)],8)
[7,2,6,1,5,8,3,4]=>([(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3)],8)
[4,7,3,8,6,2,5,1]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6)],8)
[4,7,3,6,8,2,1,5]=>([(0,7),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
[5,4,7,3,8,2,1,6]=>([(0,7),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[8,7,2,4,6,3,5,1]=>([(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[4,3,5,7,2,6,1,8]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(5,7),(6,4),(6,5)],8)
[1,7,2,8,5,4,3,6]=>([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,3),(5,6)],8)
[5,4,8,3,6,2,1,7]=>([(0,7),(1,7),(2,6),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
[6,8,2,5,7,1,4,3]=>([(0,5),(0,6),(1,3),(1,7),(2,4),(2,5),(2,6),(4,7)],8)
[3,8,6,2,7,5,1,4]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(4,6)],8)
[5,8,4,2,7,3,6,1]=>([(1,6),(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(5,7)],8)
[8,2,7,3,4,5,1,6]=>([(1,7),(2,3),(2,6),(4,7),(5,4),(6,5)],8)
[8,1,5,2,4,6,3,7]=>([(1,4),(1,5),(2,7),(3,6),(4,6),(5,2),(5,3),(6,7)],8)
[8,6,1,3,4,5,7,2]=>([(1,7),(2,3),(2,6),(4,7),(5,4),(6,5)],8)
[8,5,1,2,4,6,7,3]=>([(1,7),(2,6),(4,7),(6,3),(6,4),(7,5)],8)
[2,6,8,7,3,4,5,1]=>([(1,6),(1,7),(5,4),(6,5),(7,2),(7,3)],8)
[1,7,8,5,6,4,2,3]=>([(0,4),(0,5),(0,6),(0,7),(5,3),(6,2),(7,1)],8)
[8,3,1,2,4,6,7,5]=>([(1,7),(2,4),(4,7),(6,3),(7,5),(7,6)],8)
[3,1,7,5,8,2,4,6]=>([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(5,4),(6,3),(7,3),(7,4)],8)
[8,1,3,2,4,6,5,7]=>([(1,2),(1,3),(2,7),(3,7),(4,6),(5,6),(7,4),(7,5)],8)
[8,1,5,6,4,2,3,7]=>([(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,3),(6,2)],8)
[8,1,6,5,4,3,2,7]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,6,8,1,5,4,3,7]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,2),(3,7),(4,7),(5,7),(6,7)],8)
[3,5,8,2,1,4,7,6]=>([(0,7),(1,7),(2,3),(2,7),(3,4),(3,5),(3,6),(7,5),(7,6)],8)
[4,2,8,5,3,7,6,1]=>([(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(7,4),(7,5)],8)
[4,2,7,5,3,8,6,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,7),(5,6),(5,7)],8)
[6,4,5,1,8,3,2,7]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6),(5,7)],8)
[5,4,7,8,3,1,2,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,7),(6,5)],8)
[4,5,8,1,3,7,2,6]=>([(0,5),(1,3),(1,4),(3,7),(4,6),(4,7),(5,2),(5,6),(5,7)],8)
[1,5,3,6,8,7,2,4]=>([(0,3),(0,4),(0,5),(3,7),(4,6),(5,6),(5,7),(7,1),(7,2)],8)
[7,6,2,8,1,4,3,5]=>([(0,7),(1,7),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
[4,7,2,6,8,3,5,1]=>([(1,3),(1,5),(2,4),(2,5),(2,6),(3,6),(4,7),(5,7)],8)
[6,3,2,8,7,4,5,1]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4)],8)
[7,4,3,8,5,6,2,1]=>([(2,7),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[3,1,5,8,7,6,2,4]=>([(0,6),(0,7),(1,5),(1,7),(5,6),(7,2),(7,3),(7,4)],8)
[8,2,1,6,5,7,3,4]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(5,3),(6,4),(7,4)],8)
[3,1,8,6,5,7,2,4]=>([(0,2),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(6,3),(7,3)],8)
[1,2,7,6,4,5,8,3]=>([(0,6),(2,7),(3,7),(4,7),(5,4),(6,1),(6,2),(6,3),(6,5)],8)
[7,2,6,5,1,8,3,4]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(3,7),(4,7),(6,5)],8)
[4,2,8,5,6,3,1,7]=>([(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(6,3)],8)
[4,7,3,2,5,1,6,8]=>([(0,7),(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(7,5)],8)
[4,2,5,3,8,7,1,6]=>([(0,4),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,2,5,3,8,4,6,1]=>([(1,7),(2,3),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
[8,7,3,2,5,4,6,1]=>([(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,5,6,1,8,3,2,4]=>([(0,7),(1,3),(2,4),(2,5),(2,7),(3,7),(4,6),(5,6)],8)
[4,5,6,2,7,3,1,8]=>([(0,7),(1,3),(2,4),(2,6),(3,5),(4,7),(5,6),(6,7)],8)
[3,5,1,4,6,8,2,7]=>([(0,3),(0,6),(1,4),(1,6),(3,7),(4,5),(6,7),(7,2),(7,5)],8)
[8,5,7,4,2,1,3,6]=>([(1,7),(2,6),(3,6),(4,5),(4,7),(6,7)],8)
[4,6,2,7,5,8,1,3]=>([(0,5),(1,3),(1,7),(2,5),(2,6),(2,7),(3,6),(6,4),(7,4)],8)
[7,8,1,4,2,3,5,6]=>([(0,5),(1,3),(1,6),(2,7),(3,7),(6,2),(7,4)],8)
[6,5,2,4,8,7,1,3]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7)],8)
[8,5,2,4,1,3,7,6]=>([(1,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,2,4,3,6,8,7]=>([(0,7),(1,6),(2,7),(3,7),(6,2),(6,3),(7,4),(7,5)],8)
[8,6,2,7,5,3,1,4]=>([(1,7),(2,6),(3,4),(3,5),(3,6),(5,7)],8)
[4,3,8,1,5,2,6,7]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,7),(3,6),(6,4),(7,6)],8)
[4,1,3,6,7,2,8,5]=>([(0,6),(0,7),(1,2),(1,4),(2,6),(2,7),(3,5),(4,5),(4,7),(6,3)],8)
[7,8,1,6,5,2,4,3]=>([(0,6),(1,4),(1,5),(1,7),(7,2),(7,3)],8)
[7,4,8,6,5,1,2,3]=>([(0,7),(1,6),(2,4),(2,5),(2,7),(6,3)],8)
[3,7,8,6,5,1,2,4]=>([(0,5),(1,3),(1,4),(1,6),(1,7),(5,7),(6,2)],8)
[8,4,5,7,2,6,3,1]=>([(2,5),(3,4),(3,7),(5,6),(5,7)],8)
[4,5,8,2,7,3,1,6]=>([(0,7),(1,4),(2,3),(2,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,5,8,2,7,3,1,4]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6)],8)
[6,4,8,2,7,3,1,5]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(4,7)],8)
[7,8,1,3,6,4,2,5]=>([(0,5),(1,4),(1,6),(3,7),(4,7),(6,2),(6,3)],8)
[4,5,7,8,3,2,1,6]=>([(0,4),(1,7),(2,7),(3,7),(4,6),(4,7),(6,5)],8)
[5,7,3,4,2,6,8,1]=>([(1,7),(2,4),(3,5),(3,7),(4,7),(5,6),(7,6)],8)
[5,7,4,2,3,6,8,1]=>([(1,7),(2,4),(3,5),(3,7),(4,7),(5,6),(7,6)],8)
[5,4,7,3,2,8,1,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[6,8,3,2,4,5,1,7]=>([(0,7),(1,6),(2,6),(3,4),(3,7),(5,7),(6,5)],8)
[5,8,3,4,6,1,2,7]=>([(0,4),(1,5),(2,3),(2,6),(4,7),(5,6),(6,7)],8)
[6,4,3,8,5,1,2,7]=>([(0,6),(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(4,7),(5,7)],8)
[6,4,8,2,3,5,1,7]=>([(0,7),(1,5),(1,6),(2,5),(2,7),(3,4),(4,6),(6,7)],8)
[5,4,6,8,2,3,1,7]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(6,5),(6,7)],8)
[5,6,8,4,1,2,3,7]=>([(0,7),(1,6),(2,5),(4,7),(5,4),(6,3),(6,7)],8)
[6,4,8,5,1,2,3,7]=>([(0,6),(0,7),(1,3),(2,4),(2,6),(3,5),(4,7),(5,7)],8)
[7,4,8,3,1,2,5,6]=>([(0,7),(1,6),(2,6),(2,7),(3,4),(4,7),(7,5)],8)
[5,7,8,2,3,1,4,6]=>([(0,7),(1,3),(2,4),(2,6),(3,7),(4,5),(7,6)],8)
[5,4,7,8,2,1,3,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(5,7),(6,4)],8)
[5,8,6,3,1,2,4,7]=>([(0,6),(1,5),(2,3),(2,4),(4,7),(5,6),(6,7)],8)
[6,8,5,2,1,3,4,7]=>([(0,7),(1,6),(2,6),(3,4),(3,7),(5,7),(6,5)],8)
[5,6,1,3,2,4,8,7]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,8,1,2,5,7,6]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,7),(7,4),(7,5)],8)
[4,6,3,2,8,5,7,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(6,5)],8)
[5,3,7,2,1,8,6,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,7),(4,6)],8)
[5,4,8,3,7,2,1,6]=>([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,6,8,5,2,1,7,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(3,7),(4,5),(4,7)],8)
[6,1,5,4,7,2,8,3]=>([(0,7),(1,3),(1,4),(1,5),(3,7),(4,7),(5,2),(5,6),(7,6)],8)
[5,4,8,3,2,7,1,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,4,3,7,2,1,6,8]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[5,4,3,7,8,2,1,6]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[1,4,8,6,3,2,7,5]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,7)],8)
[4,1,8,6,2,5,7,3]=>([(0,3),(0,5),(0,7),(1,5),(1,6),(1,7),(3,2),(3,6),(6,4),(7,4)],8)
[6,7,2,5,3,8,4,1]=>([(1,5),(2,4),(2,6),(4,7),(5,7),(6,3),(6,7)],8)
[6,3,4,8,1,2,7,5]=>([(0,5),(0,7),(1,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[2,6,3,1,5,8,7,4]=>([(0,2),(0,3),(1,6),(1,7),(2,4),(2,5),(3,6),(3,7),(7,4),(7,5)],8)
[7,1,3,2,6,5,8,4]=>([(0,7),(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[6,1,3,5,8,7,4,2]=>([(0,6),(0,7),(1,3),(1,5),(4,6),(4,7),(5,2),(5,4)],8)
[3,5,8,7,4,6,2,1]=>([(2,5),(2,6),(5,7),(6,3),(6,4),(6,7)],8)
[6,8,5,7,3,4,2,1]=>([(2,7),(3,6),(4,5),(4,7)],8)
[5,3,6,8,4,2,1,7]=>([(0,7),(1,7),(2,6),(3,4),(3,6),(4,7),(6,5),(6,7)],8)
[5,1,6,8,4,7,3,2]=>([(0,7),(1,3),(1,4),(1,5),(1,7),(5,6),(7,2),(7,6)],8)
[6,2,8,3,4,1,5,7]=>([(0,6),(1,5),(1,7),(2,3),(2,5),(3,4),(4,6),(6,7)],8)
[2,4,1,8,7,6,3,5]=>([(0,2),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(7,3)],8)
[1,3,5,8,4,7,2,6]=>([(0,3),(0,5),(2,6),(2,7),(3,7),(4,1),(4,6),(4,7),(5,2),(5,4)],8)
[2,3,8,7,5,1,6,4]=>([(0,6),(0,7),(1,5),(4,6),(5,2),(5,3),(5,4),(5,7)],8)
[8,5,4,7,6,1,3,2]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5)],8)
[5,8,7,2,4,1,3,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(5,7),(6,7)],8)
[4,1,3,5,6,2,8,7]=>([(0,7),(1,2),(1,4),(2,7),(3,5),(3,6),(4,5),(4,6),(7,3)],8)
[6,3,8,5,1,7,4,2]=>([(0,6),(0,7),(1,3),(1,5),(1,7),(2,4),(2,5),(2,6),(4,7)],8)
[8,2,4,6,1,3,7,5]=>([(1,5),(2,3),(2,5),(3,4),(3,7),(4,6),(5,6),(5,7)],8)
[6,4,8,7,3,5,2,1]=>([(2,7),(3,5),(3,6),(4,5),(4,6),(4,7)],8)
[8,2,3,5,6,1,4,7]=>([(1,3),(2,6),(3,5),(3,6),(4,7),(5,4),(6,7)],8)
[4,3,5,6,8,2,7,1]=>([(1,7),(2,6),(3,6),(4,5),(4,7),(6,4)],8)
[8,2,3,4,6,1,7,5]=>([(1,3),(2,6),(2,7),(3,5),(4,6),(5,4),(5,7)],8)
[1,7,4,3,5,2,8,6]=>([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8)
[2,7,4,3,8,1,5,6]=>([(0,7),(1,3),(1,4),(1,5),(3,6),(4,6),(4,7),(5,6),(5,7),(7,2)],8)
[3,8,2,7,6,4,1,5]=>([(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(7,4)],8)
[5,3,6,2,1,8,4,7]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(3,4),(3,6),(4,5),(4,7),(6,5)],8)
[4,3,8,6,2,7,1,5]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(5,6)],8)
[8,2,1,4,6,3,7,5]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(6,3),(6,4),(7,4),(7,5)],8)
[3,1,6,8,2,7,5,4]=>([(0,3),(0,7),(1,5),(1,6),(1,7),(3,4),(3,5),(3,6),(7,2),(7,4)],8)
[5,3,8,6,7,2,1,4]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(6,4)],8)
[5,8,7,2,4,6,1,3]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(5,7)],8)
[1,5,2,8,7,6,4,3]=>([(0,3),(0,4),(3,5),(3,6),(3,7),(4,1),(4,2),(4,5),(4,6),(4,7)],8)
[2,7,1,4,6,5,3,8]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2),(6,3)],8)
[4,7,1,2,6,5,8,3]=>([(0,4),(1,3),(1,5),(1,6),(3,7),(4,2),(4,5),(4,6),(5,7),(6,7)],8)
[4,2,5,6,8,7,3,1]=>([(1,7),(2,5),(2,7),(6,3),(6,4),(7,6)],8)
[6,5,8,3,7,4,2,1]=>([(2,6),(2,7),(3,6),(3,7),(4,5),(4,7)],8)
[8,2,5,1,6,3,7,4]=>([(1,6),(1,7),(2,4),(2,6),(4,7),(6,3),(6,5),(7,5)],8)
[8,3,4,5,1,6,7,2]=>([(1,6),(2,5),(2,7),(3,7),(6,3),(7,4)],8)
[7,8,1,3,5,4,6,2]=>([(0,5),(1,2),(1,6),(3,7),(4,7),(6,3),(6,4)],8)
[3,5,7,6,4,8,1,2]=>([(0,5),(1,4),(1,6),(2,7),(3,7),(4,7),(6,2),(6,3)],8)
[1,3,7,8,5,4,6,2]=>([(0,4),(0,6),(2,7),(3,7),(5,1),(6,2),(6,3),(6,5)],8)
[1,3,2,7,8,5,4,6]=>([(0,2),(0,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(5,1),(6,4),(7,4)],8)
[1,5,7,6,8,3,4,2]=>([(0,4),(0,5),(0,6),(2,7),(3,7),(5,1),(6,2),(6,3)],8)
[6,5,8,4,3,7,1,2]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5)],8)
[6,7,3,1,5,2,4,8]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,2,4,1,8,3,6,7]=>([(0,6),(0,7),(1,5),(1,6),(2,4),(2,5),(4,6),(4,7),(5,7),(7,3)],8)
[2,1,7,4,3,8,5,6]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,7),(5,3),(5,7),(6,3),(6,7)],8)
[7,2,3,8,5,4,1,6]=>([(0,3),(1,7),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[4,1,5,7,6,3,8,2]=>([(0,6),(1,2),(1,3),(1,6),(3,7),(4,7),(5,7),(6,4),(6,5)],8)
[1,4,8,2,3,6,5,7]=>([(0,3),(0,4),(2,5),(2,6),(3,2),(4,1),(4,5),(4,6),(5,7),(6,7)],8)
[1,4,6,7,3,5,2,8]=>([(0,2),(0,3),(0,5),(1,7),(2,7),(3,6),(4,1),(5,4),(5,6),(6,7)],8)
[1,4,8,2,6,7,5,3]=>([(0,4),(0,5),(4,3),(4,6),(4,7),(5,2),(5,6),(5,7),(7,1)],8)
[1,7,3,2,4,5,6,8]=>([(0,2),(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(7,5)],8)
[1,7,3,2,4,5,8,6]=>([(0,2),(0,3),(0,4),(2,6),(3,6),(4,7),(5,1),(5,7),(6,5)],8)
[1,6,4,3,2,5,7,8]=>([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,7),(5,6),(6,1),(7,6)],8)
[4,2,6,5,3,1,7,8]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(5,7),(6,7),(7,4)],8)
[5,2,1,6,8,7,4,3]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(7,3),(7,4)],8)
[1,3,5,8,6,2,7,4]=>([(0,3),(0,4),(2,6),(3,6),(3,7),(4,5),(4,7),(5,1),(5,2)],8)
[3,7,8,5,4,2,6,1]=>([(1,7),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3)],8)
[8,3,2,7,5,6,1,4]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4)],8)
[1,3,8,5,7,4,2,6]=>([(0,4),(0,6),(3,7),(4,7),(5,2),(5,7),(6,1),(6,3),(6,5)],8)
[1,2,3,7,5,4,6,8]=>([(0,4),(1,7),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3),(6,7)],8)
[1,4,2,8,6,3,5,7]=>([(0,2),(0,3),(1,7),(2,1),(2,5),(2,6),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[2,8,6,3,5,7,4,1]=>([(1,3),(1,5),(1,6),(4,7),(5,7),(6,2),(6,4)],8)
[6,1,8,2,5,3,4,7]=>([(0,6),(0,7),(1,5),(1,6),(2,7),(3,7),(4,3),(5,2),(5,4)],8)
[1,5,4,2,3,6,8,7]=>([(0,4),(0,5),(0,6),(1,7),(4,7),(5,7),(6,1),(7,2),(7,3)],8)
[6,1,5,2,3,4,8,7]=>([(0,6),(0,7),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(4,2),(5,4)],8)
[3,1,2,4,8,6,7,5]=>([(0,7),(1,3),(3,7),(6,2),(7,4),(7,5),(7,6)],8)
[3,1,2,5,8,7,4,6]=>([(0,6),(0,7),(1,4),(4,6),(4,7),(6,5),(7,2),(7,3),(7,5)],8)
[6,5,2,1,8,4,7,3]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(5,6)],8)
[5,6,2,4,3,8,1,7]=>([(0,7),(1,5),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,5,2,8,1,4,6]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(2,6),(3,7),(4,5),(4,7),(6,5)],8)
[5,1,4,7,3,2,8,6]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
[4,1,5,8,6,2,3,7]=>([(0,7),(1,5),(1,7),(3,6),(4,6),(5,4),(7,2),(7,3)],8)
[5,4,8,6,3,7,1,2]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(6,7)],8)
[6,5,2,3,1,8,7,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[6,4,7,5,3,8,1,2]=>([(0,7),(1,6),(2,4),(3,5),(3,6),(5,7),(6,7)],8)
[5,7,4,8,3,1,6,2]=>([(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,7),(5,6)],8)
[4,3,5,1,8,7,2,6]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(3,6),(7,4),(7,5),(7,6)],8)
[2,5,3,6,1,8,4,7]=>([(0,2),(0,3),(1,5),(1,6),(2,7),(3,6),(3,7),(6,4),(7,4),(7,5)],8)
[2,5,6,8,3,1,7,4]=>([(0,6),(0,7),(1,3),(1,4),(3,6),(3,7),(4,5),(5,2),(5,7)],8)
[7,1,4,5,3,6,2,8]=>([(0,7),(1,2),(1,4),(1,5),(2,7),(3,6),(4,6),(5,3),(6,7)],8)
[1,7,2,4,5,3,6,8]=>([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(5,4),(6,7)],8)
[1,7,4,5,3,2,6,8]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(7,6)],8)
[1,6,4,7,3,5,2,8]=>([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
[3,5,6,4,8,2,1,7]=>([(0,7),(1,7),(2,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,4,7,5,2,3,8]=>([(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,2),(5,1),(5,6),(6,7)],8)
[1,5,2,6,7,4,3,8]=>([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,6),(6,3)],8)
[8,5,6,1,4,3,7,2]=>([(1,6),(2,3),(2,4),(2,5),(4,7),(5,7),(6,7)],8)
[2,5,4,7,8,3,1,6]=>([(0,7),(1,2),(1,3),(1,4),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[6,4,5,8,2,3,1,7]=>([(0,7),(1,6),(1,7),(2,4),(3,5),(4,7),(5,6),(5,7)],8)
[8,6,1,3,2,5,7,4]=>([(1,5),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[7,5,8,1,4,6,3,2]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(5,7)],8)
[4,2,6,7,8,1,5,3]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(6,3)],8)
[3,4,6,7,8,1,5,2]=>([(0,6),(1,3),(1,7),(4,5),(5,2),(6,4),(6,7)],8)
[4,7,3,8,5,1,6,2]=>([(0,5),(0,7),(1,3),(1,6),(2,4),(2,5),(4,7),(5,6)],8)
[4,3,2,7,5,8,1,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(6,5),(7,4),(7,5)],8)
[4,8,5,3,2,6,1,7]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(5,7),(7,6)],8)
[2,8,4,5,3,6,1,7]=>([(0,7),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3),(6,7)],8)
[8,1,5,3,2,4,7,6]=>([(1,2),(1,3),(1,4),(2,5),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,4,1,3,6,5,2]=>([(0,6),(0,7),(1,4),(2,3),(2,5),(5,6),(5,7)],8)
[8,6,1,3,2,7,4,5]=>([(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[7,3,8,2,4,1,6,5]=>([(0,6),(0,7),(1,4),(2,5),(3,4),(3,5),(5,6),(5,7)],8)
[6,2,3,7,8,1,5,4]=>([(0,7),(1,5),(1,6),(2,4),(4,5),(4,6),(4,7),(7,3)],8)
[6,3,7,8,1,5,4,2]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(7,3)],8)
[2,6,3,7,8,1,5,4]=>([(0,5),(0,6),(1,3),(1,4),(3,7),(4,5),(4,6),(4,7),(7,2)],8)
[7,5,8,1,6,4,2,3]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(2,7),(4,5)],8)
[8,1,4,3,7,5,6,2]=>([(1,3),(1,4),(1,5),(4,6),(4,7),(5,6),(5,7),(7,2)],8)
[1,4,8,5,3,2,6,7]=>([(0,4),(0,5),(0,6),(2,7),(4,7),(5,7),(6,1),(6,2),(7,3)],8)
[8,2,7,6,4,1,5,3]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(5,7)],8)
[2,7,4,3,8,5,1,6]=>([(0,6),(1,2),(1,3),(1,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[6,8,2,7,3,1,5,4]=>([(0,6),(0,7),(1,3),(1,5),(2,4),(2,5),(4,6),(4,7)],8)
[8,2,6,3,4,1,7,5]=>([(1,6),(1,7),(2,3),(2,4),(3,5),(4,7),(5,6),(5,7)],8)
[6,1,2,8,5,3,7,4]=>([(0,6),(0,7),(1,5),(3,7),(4,2),(4,7),(5,3),(5,4),(5,6)],8)
[4,1,5,8,3,6,7,2]=>([(0,7),(1,3),(1,4),(1,7),(4,6),(6,5),(7,2),(7,6)],8)
[7,5,2,8,1,6,3,4]=>([(0,6),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(5,4)],8)
[4,8,5,7,1,3,2,6]=>([(0,4),(0,5),(1,3),(1,6),(4,7),(5,7),(6,2),(6,7)],8)
[3,4,7,2,1,5,8,6]=>([(0,7),(1,7),(2,3),(3,5),(3,7),(5,6),(7,4),(7,6)],8)
[4,8,2,7,1,3,6,5]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(7,4),(7,5)],8)
[8,2,1,7,4,6,3,5]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,4),(7,3),(7,4)],8)
[4,2,5,8,3,6,7,1]=>([(1,6),(2,3),(2,6),(3,7),(6,5),(6,7),(7,4)],8)
[5,1,6,8,3,2,7,4]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(3,7),(4,5),(4,7),(6,2),(6,7)],8)
[4,1,5,6,8,2,7,3]=>([(0,7),(1,5),(1,7),(4,3),(4,6),(5,2),(5,6),(7,4)],8)
[4,5,2,8,7,3,1,6]=>([(0,7),(1,4),(2,3),(2,5),(2,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,8,5,3,1,6,7,2]=>([(0,7),(1,4),(1,7),(2,3),(2,5),(5,7),(7,6)],8)
[6,2,3,1,7,8,5,4]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)
[5,2,3,6,8,4,7,1]=>([(1,7),(2,4),(4,5),(4,7),(5,6),(7,3),(7,6)],8)
[6,2,1,7,8,4,3,5]=>([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(4,6),(5,6),(7,3)],8)
[5,2,1,3,8,4,7,6]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(7,3),(7,4)],8)
[5,2,7,8,4,1,6,3]=>([(0,6),(0,7),(1,5),(1,7),(2,4),(2,5),(2,6),(4,7),(6,3)],8)
[6,2,7,8,3,5,4,1]=>([(1,7),(2,6),(2,7),(6,3),(6,4),(7,5)],8)
[5,2,8,6,4,1,7,3]=>([(0,4),(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(6,7)],8)
[5,1,2,8,4,3,7,6]=>([(0,5),(0,6),(0,7),(1,4),(2,6),(2,7),(3,6),(3,7),(4,2),(4,3),(4,5)],8)
[6,7,8,3,2,5,4,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(4,5)],8)
[5,7,2,6,4,8,1,3]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(6,7)],8)
[6,2,3,4,7,8,5,1]=>([(1,7),(2,5),(5,6),(6,3),(6,7),(7,4)],8)
[7,2,1,8,4,3,5,6]=>([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(4,6),(5,6),(6,3)],8)
[6,2,1,3,7,5,8,4]=>([(0,6),(1,6),(2,5),(4,7),(5,7),(6,3),(6,4),(6,5)],8)
[6,8,7,3,4,5,1,2]=>([(0,6),(1,7),(2,4),(2,5),(7,3)],8)
[6,2,3,7,8,1,4,5]=>([(0,7),(1,6),(2,3),(3,6),(3,7),(6,4),(7,5)],8)
[7,4,3,2,5,8,1,6]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(7,5),(7,6)],8)
[7,2,4,3,5,8,1,6]=>([(0,6),(1,5),(2,3),(2,4),(3,7),(4,7),(7,5),(7,6)],8)
[1,7,6,4,2,3,5,8]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,6),(5,1),(6,7)],8)
[1,3,2,5,8,6,4,7]=>([(0,3),(0,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(7,1),(7,2)],8)
[6,1,4,7,2,8,5,3]=>([(0,7),(1,3),(1,4),(3,5),(3,7),(4,2),(4,5),(4,6),(7,6)],8)
[1,6,7,2,4,8,5,3]=>([(0,5),(0,6),(3,7),(4,2),(4,7),(5,3),(6,1),(6,4)],8)
[5,7,2,4,3,6,8,1]=>([(1,5),(1,7),(2,3),(2,4),(3,7),(4,7),(5,6),(7,6)],8)
[5,7,3,4,6,2,8,1]=>([(1,7),(2,5),(3,4),(3,6),(4,7),(5,6),(6,7)],8)
[2,8,3,6,1,7,4,5]=>([(0,6),(0,7),(1,3),(1,5),(4,6),(5,4),(5,7),(7,2)],8)
[4,3,1,8,5,2,6,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(5,4),(7,5)],8)
[1,8,4,5,6,2,7,3]=>([(0,3),(0,5),(0,6),(2,7),(4,2),(5,4),(6,1),(6,7)],8)
[7,3,8,2,1,4,5,6]=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(7,4)],8)
[8,2,5,3,1,7,4,6]=>([(1,5),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
[6,3,5,8,1,7,4,2]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,5),(2,7),(4,6),(4,7)],8)
[3,5,4,8,6,1,7,2]=>([(0,4),(0,7),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(6,7)],8)
[7,5,2,3,8,4,6,1]=>([(1,7),(2,6),(2,7),(3,4),(4,5),(4,7),(5,6)],8)
[2,7,5,1,4,8,3,6]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(5,6),(5,7)],8)
[5,7,6,1,2,8,3,4]=>([(0,6),(1,3),(1,4),(3,7),(4,7),(5,2),(6,5),(6,7)],8)
[7,4,6,5,1,8,2,3]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(4,7),(5,7),(6,3)],8)
[7,1,3,2,6,8,4,5]=>([(0,6),(1,3),(1,4),(3,5),(3,7),(4,5),(4,7),(5,6),(7,2)],8)
[4,3,5,2,8,1,6,7]=>([(0,7),(1,6),(1,7),(2,5),(3,5),(5,6),(5,7),(7,4)],8)
[1,7,3,8,2,4,6,5]=>([(0,3),(0,4),(0,5),(3,7),(4,6),(5,6),(5,7),(7,1),(7,2)],8)
[2,7,4,8,5,3,1,6]=>([(0,7),(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(5,2),(5,6)],8)
[6,1,3,8,4,2,7,5]=>([(0,6),(0,7),(1,3),(1,4),(2,5),(2,7),(3,5),(3,7),(4,2),(4,6)],8)
[5,4,1,8,6,2,7,3]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(7,5)],8)
[5,4,6,8,1,3,2,7]=>([(0,6),(1,6),(2,3),(2,4),(3,7),(4,7),(6,5),(6,7)],8)
[3,6,1,5,8,4,7,2]=>([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(3,4),(3,7),(5,7),(6,4),(6,7)],8)
[6,4,8,3,5,7,2,1]=>([(2,6),(3,5),(3,7),(4,5),(4,6),(6,7)],8)
[3,5,8,2,4,1,7,6]=>([(0,6),(0,7),(1,5),(2,3),(2,5),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
[7,2,8,4,1,3,6,5]=>([(0,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(7,4),(7,5)],8)
[5,8,1,2,4,3,6,7]=>([(0,6),(1,5),(1,7),(2,7),(3,7),(6,2),(6,3),(7,4)],8)
[8,4,3,5,7,2,6,1]=>([(2,7),(3,7),(4,6),(7,5),(7,6)],8)
[4,1,5,2,3,8,7,6]=>([(0,7),(1,2),(1,7),(2,3),(3,4),(3,5),(3,6),(7,4),(7,5),(7,6)],8)
[6,3,5,8,2,4,7,1]=>([(1,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,7)],8)
[2,8,7,1,4,6,3,5]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(6,5),(7,2),(7,5)],8)
[1,8,5,3,7,4,2,6]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(3,7),(4,6),(4,7),(5,1),(5,6)],8)
[7,5,6,2,8,4,3,1]=>([(1,7),(2,6),(3,4),(3,5),(3,7),(6,7)],8)
[5,7,6,2,8,1,4,3]=>([(0,5),(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(3,7),(4,7)],8)
[6,3,8,1,2,5,4,7]=>([(0,4),(0,7),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6),(5,7),(6,7)],8)
[7,6,4,8,5,3,2,1]=>([(3,7),(4,7),(5,6),(5,7)],8)
[1,5,7,2,4,3,6,8]=>([(0,4),(0,5),(1,7),(2,7),(3,6),(4,3),(4,7),(5,1),(5,2),(7,6)],8)
[1,6,5,3,2,4,7,8]=>([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,6),(6,7),(7,1)],8)
[1,7,2,4,6,5,3,8]=>([(0,4),(0,6),(1,7),(2,7),(3,7),(4,7),(5,2),(5,3),(6,1),(6,5)],8)
[1,4,7,2,6,5,3,8]=>([(0,3),(0,4),(1,7),(2,7),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6),(5,7),(6,7)],8)
[1,2,6,8,7,4,3,5]=>([(0,6),(3,7),(4,7),(5,1),(5,2),(6,3),(6,4),(6,5)],8)
[1,2,7,4,3,5,8,6]=>([(0,5),(2,7),(3,7),(4,6),(5,2),(5,3),(5,4),(7,1),(7,6)],8)
[1,6,2,8,7,4,3,5]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(3,7),(4,1),(4,2),(4,6),(4,7)],8)
[1,7,4,2,3,5,8,6]=>([(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,2),(7,1),(7,6)],8)
[1,8,5,2,3,6,4,7]=>([(0,2),(0,3),(0,5),(1,7),(3,6),(4,1),(4,6),(5,4),(6,7)],8)
[1,7,4,8,5,2,3,6]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(5,7)],8)
[1,4,7,5,2,8,6,3]=>([(0,4),(0,5),(2,7),(3,6),(3,7),(4,1),(4,6),(4,7),(5,2),(5,3)],8)
[1,6,3,7,4,2,8,5]=>([(0,2),(0,3),(0,4),(1,5),(1,7),(2,6),(3,5),(3,7),(4,1),(4,6),(6,7)],8)
[1,8,5,2,7,4,3,6]=>([(0,3),(0,4),(0,5),(1,7),(2,7),(4,6),(4,7),(5,1),(5,2),(5,6)],8)
[1,4,8,7,5,3,2,6]=>([(0,4),(0,5),(0,6),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3)],8)
[1,2,5,8,6,3,7,4]=>([(0,6),(3,7),(4,2),(4,7),(5,1),(5,3),(6,4),(6,5)],8)
[1,2,4,7,5,8,6,3]=>([(0,6),(3,7),(4,2),(4,7),(5,3),(5,4),(6,1),(6,5)],8)
[1,5,8,7,6,2,4,3]=>([(0,6),(0,7),(6,4),(6,5),(7,1),(7,2),(7,3)],8)
[1,3,5,8,7,6,2,4]=>([(0,4),(0,5),(4,7),(5,6),(5,7),(6,1),(6,2),(6,3)],8)
[1,5,2,4,3,6,8,7]=>([(0,5),(0,6),(1,7),(2,7),(5,7),(6,1),(6,2),(7,3),(7,4)],8)
[1,6,8,7,5,3,2,4]=>([(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,1),(6,2)],8)
[1,2,5,7,4,3,8,6]=>([(0,5),(1,6),(2,6),(2,7),(3,6),(3,7),(4,1),(4,7),(5,2),(5,3),(5,4)],8)
[1,5,3,2,6,8,7,4]=>([(0,3),(0,4),(0,5),(3,7),(4,6),(4,7),(5,6),(5,7),(7,1),(7,2)],8)
[1,4,2,6,8,7,5,3]=>([(0,4),(0,5),(4,6),(4,7),(5,3),(5,6),(5,7),(7,1),(7,2)],8)
[1,5,8,6,3,2,7,4]=>([(0,3),(0,4),(0,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2)],8)
[1,8,5,2,6,3,4,7]=>([(0,2),(0,3),(0,5),(1,7),(3,6),(4,1),(5,4),(5,6),(6,7)],8)
[1,7,4,6,3,2,8,5]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,6)],8)
[1,6,3,2,8,5,4,7]=>([(0,1),(0,2),(0,3),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[1,3,8,6,4,2,5,7]=>([(0,4),(0,5),(2,7),(3,6),(4,6),(5,1),(5,2),(5,3),(6,7)],8)
[1,5,7,4,2,3,8,6]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(2,7),(3,6),(3,7),(4,2),(5,1),(5,7)],8)
[6,3,7,5,4,2,8,1]=>([(1,7),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[7,5,2,6,3,4,8,1]=>([(1,7),(2,6),(3,4),(3,6),(4,5),(5,7),(6,7)],8)
[3,8,2,7,5,4,1,6]=>([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(5,7),(6,7)],8)
[5,4,8,6,7,1,2,3]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(4,5),(7,3)],8)
[2,7,3,6,8,5,4,1]=>([(1,5),(1,6),(4,7),(5,7),(6,2),(6,3),(6,4)],8)
[3,7,2,8,1,6,4,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(4,5),(7,3)],8)
[8,5,2,4,6,7,3,1]=>([(2,7),(3,4),(3,5),(5,7),(7,6)],8)
[2,5,8,7,1,4,3,6]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(4,2),(4,3),(4,7),(5,7),(6,7)],8)
[3,4,6,5,8,2,7,1]=>([(1,3),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,4,1,6,7,8,3]=>([(0,7),(1,6),(1,7),(2,3),(2,6),(3,7),(4,5),(7,4)],8)
[4,2,7,1,6,8,3,5]=>([(0,5),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(5,4),(6,3),(7,3)],8)
[5,2,8,6,4,7,1,3]=>([(0,6),(1,4),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(7,5)],8)
[6,1,3,4,7,2,8,5]=>([(0,7),(1,3),(1,4),(2,5),(2,7),(3,5),(3,6),(4,2),(7,6)],8)
[8,4,7,2,5,3,1,6]=>([(1,7),(2,4),(2,6),(3,5),(3,6),(5,7),(6,7)],8)
[8,3,4,5,2,1,7,6]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)
[8,6,1,4,7,3,5,2]=>([(1,6),(2,3),(2,4),(2,5),(4,7),(5,6),(5,7)],8)
[5,3,6,7,2,8,4,1]=>([(1,6),(2,5),(2,6),(3,5),(3,7),(4,7),(6,4)],8)
[5,3,6,7,2,4,8,1]=>([(1,6),(2,5),(3,5),(3,6),(4,7),(5,7),(6,4)],8)
[8,6,1,4,7,5,2,3]=>([(1,7),(2,5),(2,6),(5,4),(6,3),(6,7)],8)
[1,5,8,2,6,7,4,3]=>([(0,5),(0,6),(5,3),(5,7),(6,1),(6,2),(6,7),(7,4)],8)
[7,1,3,6,5,2,8,4]=>([(0,7),(1,4),(1,5),(2,7),(3,7),(4,6),(4,7),(5,2),(5,3),(5,6)],8)
[8,2,1,4,5,7,6,3]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(7,3)],8)
[1,4,7,5,2,3,8,6]=>([(0,4),(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,3),(5,1),(5,2)],8)
[6,1,7,5,4,2,8,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,2),(5,7),(6,7)],8)
[2,7,3,6,5,1,8,4]=>([(0,6),(0,7),(1,4),(1,5),(2,7),(3,7),(4,7),(5,2),(5,3),(5,6)],8)
[8,6,5,1,3,7,4,2]=>([(1,7),(2,7),(3,4),(3,5),(5,6),(5,7)],8)
[5,7,6,2,4,8,1,3]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(5,7)],8)
[3,7,5,6,4,8,1,2]=>([(0,5),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(6,2)],8)
[7,6,8,1,3,5,4,2]=>([(0,7),(1,7),(2,5),(2,6),(6,3),(6,4)],8)
[2,8,4,6,1,7,5,3]=>([(0,5),(0,6),(0,7),(1,2),(1,4),(1,7),(3,5),(4,3),(4,6)],8)
[2,8,6,4,7,3,5,1]=>([(1,2),(1,3),(1,4),(1,5),(3,7),(4,6),(5,6),(5,7)],8)
[8,7,1,4,6,5,3,2]=>([(2,5),(2,6),(2,7),(7,3),(7,4)],8)
[3,5,8,6,7,1,4,2]=>([(0,4),(0,7),(1,6),(1,7),(5,3),(6,2),(6,5)],8)
[1,2,4,6,8,5,3,7]=>([(0,6),(2,7),(3,7),(4,1),(4,7),(5,3),(5,4),(6,2),(6,5)],8)
[3,1,5,8,6,2,4,7]=>([(0,6),(0,7),(1,3),(1,7),(3,6),(4,5),(6,5),(7,2),(7,4)],8)
[2,5,4,6,8,1,3,7]=>([(0,6),(1,3),(1,4),(1,6),(3,7),(4,7),(6,5),(7,2),(7,5)],8)
[6,5,2,4,7,8,1,3]=>([(0,7),(1,7),(2,6),(3,4),(3,6),(4,7),(7,5)],8)
[7,2,5,8,6,4,1,3]=>([(0,7),(1,6),(2,3),(2,4),(2,6),(4,5),(4,7)],8)
[5,2,8,3,4,7,6,1]=>([(1,5),(1,6),(1,7),(2,3),(2,5),(3,4),(4,6),(4,7)],8)
[2,4,3,8,7,1,6,5]=>([(0,6),(0,7),(1,2),(1,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,5,8,7,4,2,6,3]=>([(0,4),(0,5),(0,6),(4,7),(5,3),(5,7),(6,1),(6,2),(6,7)],8)
[6,8,7,5,4,3,1,2]=>([(3,7),(4,5),(4,6)],8)
[5,3,4,8,6,2,7,1]=>([(1,5),(2,6),(2,7),(3,4),(4,6),(4,7),(7,5)],8)
[3,4,5,8,6,2,7,1]=>([(1,7),(2,5),(4,7),(5,6),(6,3),(6,4)],8)
[5,4,2,3,6,1,8,7]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(4,7),(7,5),(7,6)],8)
[5,1,7,4,3,6,8,2]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(3,7),(4,7),(6,5),(7,5)],8)
[4,3,7,6,8,2,1,5]=>([(0,7),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
[8,1,4,7,2,3,5,6]=>([(1,5),(1,6),(3,7),(5,3),(6,2),(6,7),(7,4)],8)
[6,1,8,5,2,7,3,4]=>([(0,6),(0,7),(1,3),(1,5),(1,6),(3,7),(4,2),(5,4),(5,7)],8)
[8,7,2,6,3,1,4,5]=>([(2,7),(3,4),(3,5),(5,7),(7,6)],8)
[8,7,1,6,4,5,2,3]=>([(2,5),(2,6),(2,7),(6,4),(7,3)],8)
[5,4,1,3,7,2,8,6]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(4,7),(6,5)],8)
[8,3,4,7,6,2,1,5]=>([(1,4),(2,7),(3,7),(4,5),(4,6),(4,7)],8)
[3,1,8,7,5,2,4,6]=>([(0,2),(0,4),(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,6),(6,3),(7,3)],8)
[6,5,8,7,2,4,3,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5)],8)
[4,3,6,5,8,2,1,7]=>([(0,7),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,3,2,8,5,4,1]=>([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,3,7,1,8,5,2,6]=>([(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,7),(3,6),(4,5),(7,6)],8)
[3,2,8,5,6,7,1,4]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(6,3)],8)
[8,3,2,1,4,7,5,6]=>([(1,7),(2,7),(3,7),(5,6),(7,4),(7,5)],8)
[4,7,3,1,8,5,2,6]=>([(0,6),(0,7),(1,3),(1,6),(2,4),(2,6),(2,7),(3,7),(4,5),(6,5)],8)
[3,7,8,2,5,6,1,4]=>([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(6,4)],8)
[7,5,1,4,2,3,6,8]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,7),(5,7),(7,6)],8)
[7,8,6,1,2,4,5,3]=>([(1,5),(2,7),(6,4),(7,3),(7,6)],8)
[1,5,3,4,7,8,6,2]=>([(0,3),(0,4),(0,5),(2,6),(2,7),(4,6),(4,7),(5,2),(7,1)],8)
[5,1,2,4,7,8,6,3]=>([(0,6),(0,7),(1,5),(4,6),(4,7),(5,3),(5,4),(7,2)],8)
[5,1,7,8,6,2,3,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(5,4),(7,2)],8)
[8,5,1,6,7,2,3,4]=>([(1,7),(2,6),(2,7),(5,3),(6,5),(7,4)],8)
[7,5,1,2,4,6,8,3]=>([(0,7),(1,3),(2,6),(3,4),(3,5),(5,7),(7,6)],8)
[6,1,5,2,7,3,4,8]=>([(0,7),(1,2),(1,5),(2,7),(3,6),(4,3),(5,4),(5,7),(7,6)],8)
[7,1,2,6,4,5,8,3]=>([(0,7),(1,6),(3,7),(4,7),(5,4),(6,2),(6,3),(6,5)],8)
[1,7,3,6,4,5,8,2]=>([(0,3),(0,4),(0,6),(1,7),(2,7),(4,7),(5,2),(6,1),(6,5)],8)
[1,8,3,6,4,5,7,2]=>([(0,3),(0,4),(0,6),(1,7),(2,7),(5,2),(6,1),(6,5)],8)
[8,1,6,2,7,3,4,5]=>([(1,3),(1,6),(3,7),(4,5),(5,2),(6,4),(6,7)],8)
[7,1,6,2,5,3,4,8]=>([(0,7),(1,4),(1,6),(2,7),(3,7),(4,7),(5,3),(6,2),(6,5)],8)
[8,1,6,2,5,3,4,7]=>([(1,4),(1,6),(2,7),(3,7),(4,7),(5,3),(6,2),(6,5)],8)
[8,1,7,2,5,3,4,6]=>([(1,2),(1,6),(3,7),(4,7),(5,4),(6,3),(6,5)],8)
[8,1,2,7,4,5,6,3]=>([(1,7),(5,6),(6,4),(7,2),(7,3),(7,5)],8)
[1,8,3,7,4,5,6,2]=>([(0,3),(0,4),(0,7),(5,6),(6,2),(7,1),(7,5)],8)
[8,1,6,7,5,2,3,4]=>([(1,4),(1,6),(1,7),(5,2),(6,3),(7,5)],8)
[7,3,1,2,6,4,5,8]=>([(0,7),(1,5),(1,6),(2,4),(3,7),(4,5),(4,6),(5,7),(6,3)],8)
[3,1,2,8,5,6,7,4]=>([(0,5),(0,6),(0,7),(1,3),(3,5),(3,6),(3,7),(4,2),(7,4)],8)
[6,3,1,2,7,4,5,8]=>([(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(4,5),(6,4),(7,5)],8)
[6,1,7,4,2,3,5,8]=>([(0,7),(1,3),(1,4),(1,7),(2,5),(3,5),(4,2),(5,6),(7,6)],8)
[1,7,3,4,6,8,5,2]=>([(0,3),(0,4),(0,5),(2,7),(4,7),(5,6),(6,1),(6,2)],8)
[1,7,3,8,4,5,6,2]=>([(0,2),(0,3),(0,6),(3,7),(4,5),(5,1),(6,4),(6,7)],8)
[7,1,8,2,5,3,4,6]=>([(0,7),(1,5),(1,7),(2,6),(3,6),(4,3),(5,2),(5,4)],8)
[6,1,7,2,5,3,4,8]=>([(0,6),(1,5),(1,6),(2,7),(3,7),(4,3),(5,2),(5,4),(6,7)],8)
[5,1,7,2,6,3,4,8]=>([(0,5),(0,6),(1,4),(1,6),(2,7),(3,2),(4,3),(4,5),(5,7),(6,7)],8)
[5,1,8,2,6,3,4,7]=>([(0,6),(0,7),(1,4),(1,7),(2,5),(3,2),(4,3),(4,6),(6,5)],8)
[1,6,3,7,4,5,8,2]=>([(0,2),(0,3),(0,5),(1,7),(3,6),(4,1),(5,4),(5,6),(6,7)],8)
[2,4,7,3,5,1,6,8]=>([(0,7),(1,3),(1,4),(2,5),(3,6),(4,2),(4,6),(6,7),(7,5)],8)
[2,4,8,6,3,5,1,7]=>([(0,7),(1,4),(1,5),(3,7),(4,6),(5,2),(5,3),(5,6),(6,7)],8)
[2,3,7,5,4,1,6,8]=>([(0,7),(1,5),(2,7),(3,7),(4,6),(5,2),(5,3),(5,4),(7,6)],8)
[3,4,6,2,1,5,8,7]=>([(0,7),(1,7),(2,3),(3,4),(3,7),(4,5),(4,6),(7,5),(7,6)],8)
[3,4,7,2,1,6,5,8]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,4),(3,6),(3,7),(4,5),(6,5),(7,5)],8)
[2,6,8,3,5,1,4,7]=>([(0,6),(1,4),(1,5),(3,7),(4,2),(4,7),(5,3),(5,6),(6,7)],8)
[2,3,6,1,5,8,4,7]=>([(0,3),(1,4),(1,6),(2,5),(2,7),(3,2),(3,4),(3,6),(4,7),(6,5),(6,7)],8)
[2,3,7,1,6,5,8,4]=>([(0,3),(1,4),(1,5),(1,6),(2,7),(3,2),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[2,4,7,1,3,6,8,5]=>([(0,7),(1,3),(1,7),(2,5),(3,2),(3,4),(3,6),(6,5),(7,4),(7,6)],8)
[5,4,7,8,1,3,2,6]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,7),(4,7),(6,5)],8)
[2,5,7,1,4,6,3,8]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,7),(3,2),(3,4),(4,7),(5,7),(6,4)],8)
[2,4,7,1,6,3,5,8]=>([(0,3),(0,6),(1,5),(1,6),(2,7),(3,2),(3,4),(3,5),(4,7),(5,7),(6,4)],8)
[2,3,7,1,6,5,4,8]=>([(0,3),(1,4),(1,5),(1,6),(2,7),(3,2),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[2,5,7,1,4,3,6,8]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,7),(3,4),(5,7),(6,7),(7,4)],8)
[2,5,7,3,1,4,6,8]=>([(0,7),(1,3),(1,4),(2,6),(3,7),(4,2),(4,5),(5,6),(7,5)],8)
[3,4,7,2,1,6,8,5]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,4),(3,6),(3,7),(4,5),(7,5)],8)
[4,6,3,7,1,5,2,8]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,6),(3,7),(4,5),(5,7),(6,7)],8)
[5,7,3,2,8,1,4,6]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,7),(6,5)],8)
[2,6,5,7,1,8,4,3]=>([(0,2),(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(3,7),(7,4)],8)
[3,6,8,5,4,1,7,2]=>([(0,5),(0,7),(1,3),(1,4),(1,6),(3,7),(4,7),(6,2),(6,7)],8)
[5,4,7,8,1,3,6,2]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(4,7),(6,5)],8)
[2,5,7,1,4,6,8,3]=>([(0,5),(0,7),(1,3),(1,5),(1,7),(2,4),(3,2),(3,6),(6,4),(7,6)],8)
[2,4,7,1,6,3,8,5]=>([(0,3),(0,6),(1,5),(1,6),(2,7),(3,2),(3,4),(3,5),(5,7),(6,4),(6,7)],8)
[2,4,7,1,6,8,3,5]=>([(0,3),(0,7),(1,6),(1,7),(2,5),(3,2),(3,4),(3,6),(6,5),(7,4)],8)
[8,6,5,1,2,4,3,7]=>([(1,4),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,6,1,4,2,3,5,8]=>([(0,7),(1,7),(2,3),(2,4),(3,5),(4,6),(5,6),(6,7)],8)
[6,5,1,4,8,3,2,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(5,7)],8)
[8,7,5,1,4,2,3,6]=>([(2,7),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,1,2,5,3,6,7]=>([(1,7),(2,3),(3,5),(3,7),(5,6),(6,4),(7,6)],8)
[8,7,5,1,4,2,6,3]=>([(2,7),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[8,6,1,4,2,5,3,7]=>([(1,7),(2,3),(2,4),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,7,1,4,3,2,6,5]=>([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,3,7,4,5,6,1]=>([(1,4),(1,7),(5,6),(6,3),(7,2),(7,5)],8)
[8,7,5,2,4,3,6,1]=>([(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,2,5,7,3,1,6,8]=>([(0,7),(1,5),(2,3),(2,5),(3,7),(4,6),(5,4),(5,7),(7,6)],8)
[8,2,4,5,3,1,6,7]=>([(1,7),(2,4),(2,6),(3,7),(4,7),(6,3),(7,5)],8)
[8,4,5,1,3,2,6,7]=>([(1,5),(2,3),(2,4),(3,7),(4,7),(5,7),(7,6)],8)
[4,3,7,5,2,1,6,8]=>([(0,7),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(5,7),(7,6)],8)
[1,6,7,4,3,2,5,8]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,7),(5,1),(7,6)],8)
[1,4,5,7,3,2,6,8]=>([(0,2),(0,3),(0,5),(1,6),(2,7),(3,7),(4,1),(4,7),(5,4),(7,6)],8)
[3,5,1,4,7,2,6,8]=>([(0,3),(0,6),(1,2),(1,6),(2,7),(3,5),(3,7),(5,4),(6,5),(6,7),(7,4)],8)
[2,5,1,4,7,8,3,6]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(3,7),(4,2),(5,7),(6,4),(6,7)],8)
[4,3,7,1,5,2,6,8]=>([(0,4),(0,7),(1,4),(1,7),(2,3),(2,7),(3,6),(4,5),(6,5),(7,6)],8)
[3,5,1,6,4,2,7,8]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(3,7),(4,5),(5,7),(6,7),(7,2)],8)
[6,4,3,1,7,2,5,8]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,6),(6,5),(7,5)],8)
[6,2,7,4,3,1,5,8]=>([(0,7),(1,5),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[2,6,4,1,7,3,5,8]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(2,7),(3,5),(3,7),(5,4),(6,5),(7,4)],8)
[6,3,2,7,4,5,1,8]=>([(0,7),(1,6),(2,5),(2,6),(3,5),(3,6),(4,7),(5,4),(6,7)],8)
[7,2,4,1,3,6,8,5]=>([(0,5),(1,7),(2,3),(2,7),(3,4),(3,6),(6,5),(7,4),(7,6)],8)
[6,3,2,5,7,1,4,8]=>([(0,7),(1,4),(1,7),(2,4),(2,7),(3,6),(4,6),(6,5),(7,5)],8)
[3,2,6,5,7,1,4,8]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(4,3),(5,4),(6,4),(7,3)],8)
[1,7,3,2,5,6,4,8]=>([(0,2),(0,3),(0,4),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,1)],8)
[2,1,7,3,5,6,8,4]=>([(0,6),(0,7),(1,6),(1,7),(3,5),(4,3),(6,5),(7,2),(7,4)],8)
[2,1,6,3,5,7,8,4]=>([(0,5),(0,7),(1,5),(1,7),(3,6),(5,6),(6,4),(7,2),(7,3)],8)
[1,6,3,2,5,7,4,8]=>([(0,1),(0,2),(0,3),(1,5),(2,6),(2,7),(3,6),(3,7),(5,4),(6,5),(7,4)],8)
[1,4,6,5,2,7,3,8]=>([(0,4),(0,5),(1,7),(2,7),(3,6),(4,3),(4,7),(5,1),(5,2),(7,6)],8)
[5,6,2,1,4,3,7,8]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,7),(5,7),(6,7),(7,4)],8)
[2,5,1,6,4,3,7,8]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(4,7),(5,7),(6,7),(7,2)],8)
[2,5,4,1,6,3,7,8]=>([(0,5),(0,7),(1,3),(1,4),(1,5),(3,7),(4,7),(5,6),(6,2),(7,6)],8)
[4,6,1,5,2,7,3,8]=>([(0,3),(0,6),(1,4),(1,6),(2,5),(3,7),(4,2),(4,7),(6,7),(7,5)],8)
[1,6,5,3,7,2,4,8]=>([(0,1),(0,2),(0,3),(0,4),(1,7),(2,7),(3,5),(4,5),(4,7),(5,6),(7,6)],8)
[1,2,5,3,4,8,7,6]=>([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,2),(4,1),(4,3)],8)
[5,2,7,6,1,8,4,3]=>([(0,5),(0,6),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(5,7),(6,7)],8)
[5,8,2,6,1,7,4,3]=>([(0,3),(0,7),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(7,4)],8)
[1,5,8,3,6,2,7,4]=>([(0,2),(0,3),(0,4),(2,5),(2,7),(3,5),(3,6),(4,1),(4,6),(6,7)],8)
[1,2,6,4,7,3,8,5]=>([(0,4),(1,6),(2,5),(2,7),(3,5),(3,6),(4,1),(4,2),(4,3),(6,7)],8)
[1,2,7,8,3,5,6,4]=>([(0,7),(4,2),(5,3),(6,1),(6,5),(7,4),(7,6)],8)
[2,7,4,5,8,1,6,3]=>([(0,6),(0,7),(1,2),(1,4),(1,7),(2,5),(3,5),(3,6),(4,3)],8)
[2,6,1,8,5,4,3,7]=>([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,7),(4,7),(5,7),(6,7)],8)
[5,8,6,2,3,4,1,7]=>([(0,7),(1,6),(2,3),(2,5),(4,7),(5,7),(6,4)],8)
[5,8,6,2,1,4,3,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,7),(5,7),(6,7)],8)
[4,5,8,6,2,1,3,7]=>([(0,3),(1,6),(2,6),(3,4),(3,5),(5,7),(6,7)],8)
[6,4,7,5,8,2,1,3]=>([(0,5),(1,5),(2,6),(3,4),(3,6),(4,7),(6,7)],8)
[6,3,7,4,2,5,8,1]=>([(1,7),(2,5),(3,4),(3,5),(4,7),(5,6),(7,6)],8)
[7,5,6,2,4,3,8,1]=>([(1,7),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[4,6,2,5,7,3,8,1]=>([(1,3),(1,5),(2,4),(2,5),(3,7),(4,6),(5,6),(6,7)],8)
[4,2,8,5,3,6,1,7]=>([(0,4),(1,5),(1,7),(2,3),(2,5),(2,7),(3,6),(6,4),(7,6)],8)
[8,1,7,4,5,6,2,3]=>([(1,4),(1,6),(1,7),(5,2),(6,3),(7,5)],8)
[2,1,7,8,4,5,6,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(6,4),(7,2)],8)
[8,2,1,4,3,7,6,5]=>([(1,6),(1,7),(2,6),(2,7),(6,3),(6,4),(6,5),(7,3),(7,4),(7,5)],8)
[7,6,5,3,1,2,8,4]=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[5,4,1,6,2,8,3,7]=>([(0,7),(1,7),(2,3),(2,7),(3,4),(3,6),(4,5),(7,5),(7,6)],8)
[6,2,3,1,7,8,4,5]=>([(0,7),(1,6),(1,7),(2,4),(4,6),(4,7),(6,5),(7,3)],8)
[3,1,8,6,7,2,4,5]=>([(0,5),(0,6),(0,7),(1,2),(1,5),(1,7),(2,6),(6,3),(7,4)],8)
[4,2,5,1,8,6,7,3]=>([(0,7),(1,5),(1,7),(2,4),(2,5),(2,6),(6,3),(7,4),(7,6)],8)
[4,5,3,7,1,6,8,2]=>([(0,6),(0,7),(1,4),(2,3),(2,7),(4,6),(4,7),(6,5),(7,5)],8)
[4,2,8,5,3,6,7,1]=>([(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(6,7),(7,4)],8)
[2,8,6,3,5,4,7,1]=>([(1,2),(1,5),(1,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[3,5,2,8,6,4,7,1]=>([(1,3),(1,6),(2,5),(2,6),(2,7),(3,5),(3,7),(6,4),(7,4)],8)
[7,3,5,1,6,4,8,2]=>([(0,7),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6),(5,7),(6,7)],8)
[5,1,4,7,2,6,8,3]=>([(0,6),(0,7),(1,3),(1,4),(3,6),(3,7),(4,2),(4,7),(6,5),(7,5)],8)
[1,8,2,5,6,4,7,3]=>([(0,4),(0,6),(2,7),(3,7),(5,3),(6,1),(6,2),(6,5)],8)
[2,7,1,4,8,5,6,3]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(3,5),(4,2),(7,4),(7,5)],8)
[2,8,4,6,1,3,7,5]=>([(0,7),(1,2),(1,4),(1,7),(3,5),(4,3),(4,6),(7,5),(7,6)],8)
[8,4,6,2,5,3,7,1]=>([(2,5),(2,6),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[8,3,7,6,2,1,5,4]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[8,5,2,7,6,1,4,3]=>([(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7)],8)
[5,8,2,7,6,1,4,3]=>([(0,4),(0,5),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7)],8)
[8,3,7,6,2,5,1,4]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[7,3,8,6,5,1,4,2]=>([(0,6),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7)],8)
[2,6,3,7,5,4,8,1]=>([(1,4),(1,5),(2,7),(3,7),(4,6),(5,2),(5,3),(5,6),(6,7)],8)
[5,4,7,1,3,8,6,2]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(4,6),(4,7),(5,6)],8)
[2,8,5,1,4,7,3,6]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(3,4),(3,7),(5,7),(6,4),(6,7)],8)
[7,2,6,5,8,4,3,1]=>([(1,7),(2,3),(2,4),(2,5),(2,6),(5,7),(6,7)],8)
[5,8,2,3,4,6,1,7]=>([(0,7),(1,4),(2,3),(2,6),(4,5),(5,6),(6,7)],8)
[6,1,3,4,2,5,7,8]=>([(0,7),(1,4),(1,5),(3,6),(4,6),(5,3),(6,7),(7,2)],8)
[1,5,6,3,2,4,7,8]=>([(0,3),(0,4),(0,5),(2,7),(3,6),(4,6),(5,2),(6,7),(7,1)],8)
[6,3,5,2,4,1,7,8]=>([(0,7),(1,7),(2,6),(3,4),(3,6),(4,7),(6,7),(7,5)],8)
[7,8,3,5,2,4,6,1]=>([(1,6),(2,4),(3,5),(3,6),(5,7),(6,7)],8)
[2,4,5,7,3,6,1,8]=>([(0,7),(1,3),(1,4),(2,7),(3,6),(4,5),(5,2),(5,6),(6,7)],8)
[2,5,3,1,6,4,7,8]=>([(0,5),(0,7),(1,3),(1,4),(3,7),(4,5),(4,7),(5,6),(6,2),(7,6)],8)
[6,5,1,3,4,2,7,8]=>([(0,7),(1,7),(2,4),(2,6),(3,7),(4,7),(6,3),(7,5)],8)
[5,7,4,3,2,6,1,8]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,7),(5,6),(7,6)],8)
[6,8,7,4,3,5,1,2]=>([(0,7),(1,7),(2,6),(3,4),(3,5)],8)
[2,6,7,8,4,3,5,1]=>([(1,3),(1,4),(1,6),(3,7),(4,7),(5,2),(6,5)],8)
[1,7,8,4,5,3,6,2]=>([(0,3),(0,4),(0,5),(0,6),(2,7),(4,7),(5,1),(6,2)],8)
[7,1,8,5,3,4,6,2]=>([(0,7),(1,2),(1,4),(1,5),(1,7),(3,6),(4,6),(5,3)],8)
[5,7,4,2,1,6,3,8]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(7,6)],8)
[5,1,4,7,3,6,2,8]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(2,7),(3,6),(4,5),(4,7),(5,6),(7,6)],8)
[7,4,8,6,3,5,2,1]=>([(2,7),(3,6),(4,5),(4,6),(4,7)],8)
[4,7,6,3,5,2,1,8]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,6,5,8,7,4,2,3]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(3,7),(4,6),(4,7),(5,1)],8)
[6,1,3,8,7,5,2,4]=>([(0,6),(0,7),(1,3),(1,4),(3,5),(4,2),(4,5),(4,6),(4,7)],8)
[7,6,2,1,8,3,5,4]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5)],8)
[7,1,3,6,8,2,5,4]=>([(0,7),(1,3),(1,4),(2,7),(3,5),(3,6),(4,2),(4,5),(4,6)],8)
[1,7,5,6,8,2,4,3]=>([(0,4),(0,5),(0,6),(3,7),(4,7),(5,3),(6,1),(6,2)],8)
[3,6,7,5,8,2,4,1]=>([(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(5,7)],8)
[1,7,4,5,2,8,6,3]=>([(0,3),(0,4),(0,5),(2,6),(2,7),(3,7),(4,2),(5,1),(5,6),(5,7)],8)
[7,5,4,2,1,8,6,3]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,6,7,4,2,8,5,1]=>([(1,6),(1,7),(2,3),(2,4),(3,5),(4,6),(4,7),(5,7)],8)
[4,6,3,2,7,8,5,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,7),(7,5)],8)
[7,6,1,3,4,2,5,8]=>([(0,7),(1,7),(2,3),(2,4),(3,5),(4,6),(5,6),(6,7)],8)
[7,8,2,6,4,5,3,1]=>([(1,6),(2,4),(2,5),(2,7),(7,3)],8)
[7,2,5,4,6,1,3,8]=>([(0,7),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,7),(6,7)],8)
[7,1,2,4,5,6,3,8]=>([(0,7),(1,6),(2,7),(3,7),(4,5),(5,3),(6,2),(6,4)],8)
[7,3,2,1,5,6,4,8]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,4)],8)
[3,6,2,1,7,5,4,8]=>([(0,3),(0,5),(0,6),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,7),(5,4),(6,4),(7,4)],8)
[2,6,7,3,1,5,4,8]=>([(0,5),(0,6),(1,3),(1,4),(2,7),(3,5),(3,6),(4,2),(5,7),(6,7)],8)
[2,1,6,4,7,5,3,8]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,3),(6,2),(6,3)],8)
[7,2,8,5,6,4,3,1]=>([(1,7),(2,4),(2,5),(2,6),(2,7),(6,3)],8)
[7,6,8,5,4,1,3,2]=>([(2,7),(3,7),(4,5),(4,6)],8)
[7,1,8,4,6,5,3,2]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3)],8)
[7,8,6,3,1,5,4,2]=>([(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8)
[7,6,1,4,5,3,2,8]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[7,1,5,6,4,3,2,8]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2)],8)
[4,1,3,8,6,2,7,5]=>([(0,2),(0,3),(1,4),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(6,5)],8)
[5,6,3,2,8,1,7,4]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,6),(4,7)],8)
[8,2,6,3,1,5,7,4]=>([(1,5),(1,6),(2,3),(2,4),(3,7),(4,5),(4,6),(6,7)],8)
[8,2,5,6,7,4,3,1]=>([(2,4),(2,5),(2,7),(6,3),(7,6)],8)
[8,2,5,3,4,7,6,1]=>([(2,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,3,2,4,1,8,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8)
[7,1,2,3,6,8,4,5]=>([(0,7),(1,5),(3,7),(4,2),(5,6),(6,3),(6,4)],8)
[6,7,2,8,3,4,5,1]=>([(1,4),(2,6),(2,7),(4,7),(5,3),(6,5)],8)
[3,1,8,4,6,5,7,2]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(3,5),(4,5),(7,3),(7,4)],8)
[6,1,2,3,8,4,7,5]=>([(0,6),(0,7),(1,3),(3,4),(4,5),(4,6),(5,2),(5,7)],8)
[8,1,6,7,4,2,3,5]=>([(1,4),(1,5),(1,6),(3,7),(4,7),(5,3),(6,2)],8)
[8,1,6,4,5,2,3,7]=>([(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,3),(6,2)],8)
[8,6,4,1,2,3,7,5]=>([(1,7),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)
[8,6,1,4,2,5,7,3]=>([(1,6),(2,3),(2,4),(3,7),(4,5),(4,7),(7,6)],8)
[8,6,4,2,5,3,7,1]=>([(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,6,4,1,5,7,2,3]=>([(1,7),(2,6),(3,4),(3,6),(4,5),(6,7)],8)
[8,6,1,4,7,2,5,3]=>([(1,6),(2,3),(2,4),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,4,1,5,2,3,7]=>([(1,7),(2,6),(3,4),(3,6),(4,5),(5,7),(6,7)],8)
[8,6,7,1,4,5,2,3]=>([(1,5),(2,6),(2,7),(6,4),(7,3)],8)
[3,4,7,5,8,2,6,1]=>([(1,3),(2,6),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[8,7,1,4,6,5,2,3]=>([(2,6),(2,7),(6,5),(7,3),(7,4)],8)
[8,3,7,6,4,5,1,2]=>([(1,6),(2,4),(2,5),(2,7),(7,3)],8)
[5,3,8,6,4,1,7,2]=>([(0,5),(0,6),(1,3),(1,7),(2,4),(2,5),(2,6),(4,7),(6,7)],8)
[7,4,5,1,2,8,6,3]=>([(0,7),(1,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,4,7,1,8,5,2,3]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(5,7)],8)
[5,7,4,2,3,8,6,1]=>([(1,6),(1,7),(2,5),(3,4),(3,6),(4,7),(5,6),(5,7)],8)
[3,8,2,5,1,7,4,6]=>([(0,4),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(4,5),(4,6),(7,6)],8)
[5,8,4,2,3,7,1,6]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
[4,8,5,2,1,7,3,6]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(4,6),(4,7),(5,6)],8)
[8,5,7,6,1,2,4,3]=>([(1,7),(2,5),(2,6),(7,3),(7,4)],8)
[6,8,7,5,2,4,1,3]=>([(1,7),(2,6),(2,7),(3,4),(3,5)],8)
[5,7,6,8,4,1,3,2]=>([(1,3),(1,4),(2,5),(2,6),(5,7),(6,7)],8)
[7,3,1,6,8,5,4,2]=>([(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(7,4)],8)
[5,3,1,7,4,8,6,2]=>([(0,4),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(4,5),(4,6),(7,6)],8)
[7,3,1,8,6,4,5,2]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3)],8)
[8,6,4,1,7,3,2,5]=>([(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[4,6,8,3,7,1,2,5]=>([(0,6),(0,7),(1,3),(2,4),(2,7),(3,7),(4,5),(4,6)],8)
[3,5,2,8,4,7,1,6]=>([(0,7),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(3,7),(4,6),(4,7)],8)
[6,4,8,3,7,2,1,5]=>([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7)],8)
[3,6,2,8,7,4,1,5]=>([(0,6),(1,3),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(7,6)],8)
[6,8,4,2,7,3,1,5]=>([(0,7),(1,6),(1,7),(2,4),(2,6),(3,5),(3,6),(5,7)],8)
[3,4,7,8,5,1,2,6]=>([(0,4),(1,6),(3,7),(4,7),(5,2),(6,3),(6,5)],8)
[4,7,3,2,5,6,8,1]=>([(1,7),(2,7),(3,4),(3,7),(4,6),(5,6),(7,5)],8)
[3,2,7,6,4,5,8,1]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[1,7,3,6,8,4,2,5]=>([(0,3),(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(5,2)],8)
[2,3,6,5,1,8,7,4]=>([(0,5),(0,6),(0,7),(1,4),(2,6),(2,7),(3,6),(3,7),(4,2),(4,3),(4,5)],8)
[8,3,1,2,6,4,7,5]=>([(1,6),(1,7),(2,4),(4,6),(4,7),(6,5),(7,3),(7,5)],8)
[1,7,8,2,4,3,5,6]=>([(0,5),(0,6),(2,7),(3,7),(5,1),(6,2),(6,3),(7,4)],8)
[3,6,4,7,1,2,8,5]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(3,6),(4,6),(4,7),(5,7)],8)
[5,7,4,8,1,3,2,6]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(3,7),(4,7),(5,6)],8)
[4,3,7,8,1,5,2,6]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,7),(3,6),(5,4),(7,6)],8)
[8,5,4,2,6,1,7,3]=>([(1,7),(2,7),(3,5),(3,7),(4,5),(4,6),(7,6)],8)
[3,2,6,8,7,4,1,5]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(5,6),(7,3),(7,4)],8)
[2,3,7,5,1,8,6,4]=>([(0,5),(0,6),(0,7),(1,4),(2,7),(3,5),(3,7),(4,2),(4,3),(4,6)],8)
[6,3,1,2,8,7,4,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,5),(3,6),(3,7),(5,4)],8)
[5,2,1,3,8,7,6,4]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(7,3),(7,4),(7,5),(7,6)],8)
[7,2,1,5,3,8,4,6]=>([(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(4,7),(5,3),(5,7)],8)
[1,5,8,2,4,3,6,7]=>([(0,5),(0,6),(2,7),(3,7),(5,1),(5,7),(6,2),(6,3),(7,4)],8)
[4,3,6,8,1,5,2,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,7),(5,4),(5,7),(6,7)],8)
[5,4,6,8,3,1,7,2]=>([(0,7),(1,6),(2,6),(3,4),(3,7),(6,5),(6,7)],8)
[3,6,8,4,5,1,7,2]=>([(0,4),(0,7),(1,5),(1,6),(3,7),(5,3),(6,2),(6,7)],8)
[8,6,1,7,2,4,3,5]=>([(1,6),(2,3),(2,6),(3,4),(3,5),(4,7),(5,7)],8)
[7,3,1,2,8,6,4,5]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(6,3)],8)
[2,3,7,6,1,8,5,4]=>([(0,5),(0,6),(0,7),(1,4),(2,7),(3,7),(4,2),(4,3),(4,5),(4,6)],8)
[3,2,7,8,6,4,1,5]=>([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(7,4)],8)
[6,2,8,3,1,4,7,5]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(3,7),(7,4),(7,6)],8)
[3,1,2,8,7,4,5,6]=>([(0,5),(0,6),(0,7),(1,3),(3,5),(3,6),(3,7),(4,2),(7,4)],8)
[2,1,3,8,7,4,6,5]=>([(0,7),(1,7),(6,2),(6,3),(7,4),(7,5),(7,6)],8)
[2,1,3,8,7,4,5,6]=>([(0,7),(1,7),(5,2),(6,5),(7,3),(7,4),(7,6)],8)
[1,6,8,3,2,4,7,5]=>([(0,3),(0,4),(0,5),(3,7),(4,7),(5,2),(5,6),(7,1),(7,6)],8)
[8,5,1,7,2,4,3,6]=>([(1,3),(1,6),(2,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)
[8,4,1,7,3,2,5,6]=>([(1,6),(1,7),(2,3),(2,4),(2,6),(3,7),(4,7),(7,5)],8)
[8,3,1,6,2,7,5,4]=>([(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(7,4)],8)
[1,3,2,8,7,6,4,5]=>([(0,2),(0,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(7,1)],8)
[2,1,3,8,7,6,4,5]=>([(0,7),(1,7),(6,2),(7,3),(7,4),(7,5),(7,6)],8)
[1,6,3,7,2,5,4,8]=>([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,7,2,4,6,3,5,8]=>([(0,3),(0,5),(1,7),(2,6),(3,7),(4,1),(4,6),(5,2),(5,4),(6,7)],8)
[5,6,2,8,4,1,3,7]=>([(0,5),(1,4),(2,3),(2,5),(2,6),(3,7),(4,6),(4,7),(5,7)],8)
[3,5,8,4,2,1,6,7]=>([(0,7),(1,7),(2,4),(2,6),(4,7),(6,3),(6,7),(7,5)],8)
[2,5,8,3,1,4,6,7]=>([(0,6),(1,4),(1,5),(4,6),(5,3),(5,7),(6,7),(7,2)],8)
[2,8,1,3,5,7,4,6]=>([(0,7),(1,3),(1,7),(4,6),(5,2),(5,6),(7,4),(7,5)],8)
[5,4,7,8,3,2,6,1]=>([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[3,4,8,5,7,1,2,6]=>([(0,4),(1,6),(4,7),(5,3),(5,7),(6,2),(6,5)],8)
[3,6,8,2,5,1,4,7]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,8,7,2,5,4,1]=>([(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5)],8)
[3,4,6,5,8,2,1,7]=>([(0,3),(1,7),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,6,7,8,3,5,1]=>([(1,3),(1,6),(3,7),(4,5),(5,2),(6,4),(6,7)],8)
[1,4,2,5,7,6,3,8]=>([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,6),(6,2),(6,3)],8)
[1,4,2,6,8,5,3,7]=>([(0,3),(0,4),(2,7),(3,5),(3,6),(4,2),(4,5),(4,6),(5,7),(6,1),(6,7)],8)
[1,2,6,8,3,5,4,7]=>([(0,6),(2,7),(3,7),(4,1),(4,7),(5,2),(5,3),(6,4),(6,5)],8)
[1,6,8,3,5,4,2,7]=>([(0,4),(0,5),(0,6),(2,7),(3,7),(4,7),(5,1),(5,7),(6,2),(6,3)],8)
[1,5,3,2,4,6,8,7]=>([(0,3),(0,4),(0,5),(3,7),(4,6),(5,6),(6,7),(7,1),(7,2)],8)
[1,5,8,7,6,3,2,4]=>([(0,4),(0,5),(0,6),(4,7),(5,7),(6,1),(6,2),(6,3)],8)
[1,5,7,6,3,2,4,8]=>([(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(6,7)],8)
[1,6,3,2,4,7,5,8]=>([(0,2),(0,3),(0,4),(1,6),(2,7),(3,7),(4,5),(5,6),(7,1),(7,5)],8)
[1,6,3,2,4,8,7,5]=>([(0,2),(0,3),(0,4),(2,7),(3,7),(4,5),(4,6),(7,1),(7,5),(7,6)],8)
[1,2,7,6,4,3,5,8]=>([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4),(6,7)],8)
[1,8,7,5,2,4,6,3]=>([(0,3),(0,4),(0,5),(0,6),(2,7),(5,7),(6,1),(6,2)],8)
[1,7,5,2,4,6,3,8]=>([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,6),(5,1),(5,2),(6,7)],8)
[1,7,4,2,5,3,6,8]=>([(0,2),(0,3),(0,4),(1,7),(2,5),(3,6),(4,1),(4,5),(5,7),(7,6)],8)
[1,8,4,7,5,2,6,3]=>([(0,4),(0,5),(0,6),(3,7),(5,2),(5,7),(6,1),(6,3)],8)
[1,7,5,2,3,6,4,8]=>([(0,2),(0,3),(0,5),(1,7),(2,7),(3,6),(4,1),(4,6),(5,4),(6,7)],8)
[1,7,5,2,6,3,4,8]=>([(0,2),(0,3),(0,5),(1,7),(2,7),(3,6),(4,1),(5,4),(5,6),(6,7)],8)
[1,6,3,7,4,2,5,8]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,6),(5,7),(6,7)],8)
[1,6,3,2,7,5,4,8]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,4,7,5,2,6,3,8]=>([(0,4),(0,5),(1,7),(2,7),(3,6),(4,2),(4,6),(5,1),(5,3),(6,7)],8)
[1,3,6,4,8,7,5,2]=>([(0,3),(0,5),(2,6),(2,7),(4,1),(4,6),(4,7),(5,2),(5,4)],8)
[1,3,7,6,4,2,5,8]=>([(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(5,3),(6,7)],8)
[1,3,2,4,8,5,7,6]=>([(0,4),(0,5),(4,7),(5,7),(6,1),(6,2),(7,3),(7,6)],8)
[1,3,8,7,5,2,4,6]=>([(0,4),(0,5),(3,7),(4,6),(5,1),(5,2),(5,3),(5,6),(6,7)],8)
[1,4,6,3,2,7,5,8]=>([(0,2),(0,3),(0,4),(1,6),(2,6),(2,7),(3,6),(3,7),(4,1),(4,7),(6,5),(7,5)],8)
[1,4,6,3,2,8,7,5]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,7)],8)
[1,5,7,6,4,2,3,8]=>([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,3),(6,1),(6,2)],8)
[1,6,3,2,8,4,7,5]=>([(0,2),(0,3),(0,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(6,1),(6,5)],8)
[1,6,3,5,2,7,4,8]=>([(0,2),(0,3),(0,4),(1,7),(2,7),(3,5),(3,7),(4,1),(4,5),(5,6),(7,6)],8)
[1,6,3,5,2,8,7,4]=>([(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,5)],8)
[1,8,3,7,5,2,4,6]=>([(0,3),(0,4),(0,5),(2,7),(4,6),(5,1),(5,2),(5,6),(6,7)],8)
[6,4,7,1,5,3,8,2]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(4,7),(5,7),(6,7)],8)
[5,3,8,2,6,4,7,1]=>([(1,4),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(5,6),(7,6)],8)
[4,3,8,2,6,5,7,1]=>([(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(6,5),(7,5)],8)
[5,7,1,4,8,2,3,6]=>([(0,4),(0,7),(1,3),(1,5),(2,7),(3,6),(3,7),(4,6),(5,2)],8)
[6,5,7,1,4,3,8,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(4,7),(5,7),(6,7)],8)
[5,7,6,1,2,4,8,3]=>([(0,6),(1,4),(1,5),(3,7),(4,7),(5,7),(6,2),(6,3)],8)
[4,8,3,5,7,6,2,1]=>([(2,7),(3,4),(3,7),(7,5),(7,6)],8)
[1,3,4,2,8,5,7,6]=>([(0,4),(0,5),(3,6),(3,7),(4,6),(4,7),(5,3),(7,1),(7,2)],8)
[5,7,6,2,4,8,3,1]=>([(1,4),(1,5),(2,3),(2,6),(4,7),(5,7),(6,7)],8)
[6,7,5,2,3,8,4,1]=>([(1,7),(2,4),(3,5),(4,7),(5,6),(5,7)],8)
[6,7,5,3,8,4,2,1]=>([(2,7),(3,6),(4,5),(4,7),(6,7)],8)
[3,2,1,4,8,5,7,6]=>([(0,7),(1,7),(2,7),(6,3),(6,4),(7,5),(7,6)],8)
[7,3,1,4,2,6,5,8]=>([(0,4),(1,7),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,4,1,6,2,5,3,8]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[5,4,1,8,2,6,3,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(3,4),(3,7),(4,5),(7,5)],8)
[5,3,1,8,2,6,4,7]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(3,5),(3,7),(5,4),(7,4)],8)
[4,7,1,5,2,6,3,8]=>([(0,3),(0,6),(1,4),(1,6),(2,7),(3,7),(4,2),(4,5),(5,7),(6,5)],8)
[6,5,1,4,2,7,3,8]=>([(0,7),(1,7),(2,3),(2,4),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[1,8,7,3,4,5,2,6]=>([(0,2),(0,3),(0,4),(0,6),(1,7),(4,7),(5,1),(6,5)],8)
[1,8,7,4,5,2,3,6]=>([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(5,2),(6,1)],8)
[1,2,6,8,7,3,4,5]=>([(0,7),(4,5),(5,3),(6,1),(6,2),(7,4),(7,6)],8)
[1,3,7,8,4,5,6,2]=>([(0,3),(0,7),(4,1),(5,6),(6,2),(7,4),(7,5)],8)
[8,4,2,3,1,6,5,7]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5),(7,5)],8)
[6,4,5,2,8,1,7,3]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(4,6),(4,7)],8)
[4,8,6,2,3,1,7,5]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(2,6),(4,7),(5,6),(5,7)],8)
[6,4,2,1,8,5,3,7]=>([(0,6),(0,7),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
[6,4,2,3,5,8,1,7]=>([(0,6),(1,7),(2,5),(2,7),(3,4),(4,6),(6,5),(6,7)],8)
[2,8,6,4,5,1,7,3]=>([(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(3,7),(4,7),(5,3)],8)
[8,2,4,6,7,1,5,3]=>([(1,3),(1,6),(2,6),(2,7),(3,5),(3,7),(5,4)],8)
[2,6,3,1,7,4,8,5]=>([(0,6),(0,7),(1,3),(1,4),(3,7),(4,6),(4,7),(6,2),(6,5),(7,5)],8)
[6,5,1,8,3,2,7,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7)],8)
[1,4,3,7,2,8,6,5]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8)
[1,8,7,4,5,3,2,6]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(4,7),(5,7),(6,1)],8)
[2,8,3,1,4,5,7,6]=>([(0,7),(1,4),(1,5),(5,7),(6,2),(6,3),(7,6)],8)
[6,1,7,2,8,4,5,3]=>([(0,7),(1,5),(1,7),(4,3),(5,2),(5,4),(5,6),(7,6)],8)
[8,3,2,1,5,6,7,4]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(7,4)],8)
[3,2,6,7,8,4,5,1]=>([(1,6),(1,7),(2,6),(2,7),(4,5),(6,3),(7,4)],8)
[1,7,4,6,3,8,2,5]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,6),(4,7),(5,1),(5,7)],8)
[5,6,4,1,3,8,2,7]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,3,1,8,7,6,2]=>([(0,5),(0,6),(0,7),(1,4),(2,3),(2,5),(2,6),(2,7),(4,5),(4,6),(4,7)],8)
[6,3,4,2,7,8,5,1]=>([(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)
[8,7,4,5,1,6,3,2]=>([(2,6),(3,4),(3,5),(3,7),(6,7)],8)
[6,2,7,8,1,3,5,4]=>([(0,7),(1,6),(2,6),(2,7),(6,5),(7,3),(7,4)],8)
[5,1,8,4,3,7,2,6]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7)],8)
[7,2,8,1,4,5,6,3]=>([(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(7,3)],8)
[1,4,8,2,5,6,7,3]=>([(0,5),(0,6),(4,1),(5,3),(5,7),(6,2),(6,7),(7,4)],8)
[8,1,6,7,2,5,4,3]=>([(1,6),(1,7),(6,5),(7,2),(7,3),(7,4)],8)
[7,5,2,3,6,8,4,1]=>([(1,7),(2,6),(3,4),(4,5),(4,7),(7,6)],8)
[8,1,4,6,5,3,2,7]=>([(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2),(6,3)],8)
[8,1,4,7,6,5,2,3]=>([(1,6),(1,7),(6,5),(7,2),(7,3),(7,4)],8)
[8,1,2,7,6,5,4,3]=>([(1,7),(7,2),(7,3),(7,4),(7,5),(7,6)],8)
[4,5,8,1,6,7,2,3]=>([(0,6),(1,5),(1,7),(5,3),(6,2),(6,7),(7,4)],8)
[3,2,8,6,1,5,7,4]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(4,5),(7,5)],8)
[3,7,2,5,8,4,6,1]=>([(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(6,4),(7,4),(7,5)],8)
[6,7,8,4,1,5,2,3]=>([(0,7),(1,5),(2,6),(2,7),(5,3),(6,4)],8)
[6,2,8,3,5,1,4,7]=>([(0,6),(1,5),(1,7),(2,3),(2,5),(3,4),(3,6),(4,7),(6,7)],8)
[6,2,7,4,5,3,1,8]=>([(0,7),(1,6),(2,3),(2,4),(2,6),(3,5),(4,7),(5,7),(6,7)],8)
[6,8,2,5,3,4,1,7]=>([(0,7),(1,3),(1,7),(2,5),(2,6),(4,7),(5,7),(6,4)],8)
[6,8,7,5,4,1,2,3]=>([(2,6),(3,4),(3,5),(6,7)],8)
[7,4,5,6,1,8,2,3]=>([(0,7),(1,5),(2,6),(2,7),(4,7),(5,4),(6,3)],8)
[6,1,8,7,4,5,2,3]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(4,3),(5,2)],8)
[4,8,7,1,6,3,2,5]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(1,7),(4,7),(5,7)],8)
[4,8,2,7,5,3,6,1]=>([(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(6,7)],8)
[1,3,2,6,8,7,4,5]=>([(0,4),(0,5),(4,6),(4,7),(5,6),(5,7),(6,3),(7,1),(7,2)],8)
[1,3,8,2,5,4,6,7]=>([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(5,7),(6,7),(7,1)],8)
[1,6,2,5,8,7,3,4]=>([(0,3),(0,5),(2,6),(2,7),(3,6),(3,7),(4,1),(5,2),(5,4)],8)
[1,6,8,7,2,3,5,4]=>([(0,5),(0,7),(5,6),(6,3),(6,4),(7,1),(7,2)],8)
[1,6,8,7,2,5,3,4]=>([(0,6),(0,7),(5,4),(6,2),(6,3),(7,1),(7,5)],8)
[1,5,2,4,8,3,6,7]=>([(0,4),(0,5),(1,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,3),(7,2)],8)
[1,2,4,5,8,6,3,7]=>([(0,6),(2,7),(3,7),(4,5),(5,1),(5,3),(6,2),(6,4)],8)
[1,2,8,3,5,4,7,6]=>([(0,5),(2,6),(2,7),(3,6),(3,7),(4,2),(4,3),(5,1),(5,4)],8)
[1,3,8,2,5,4,7,6]=>([(0,2),(0,3),(2,6),(2,7),(3,1),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[1,6,7,5,2,4,8,3]=>([(0,4),(0,5),(0,6),(2,7),(3,7),(4,7),(5,3),(6,1),(6,2)],8)
[1,5,6,4,7,2,3,8]=>([(0,3),(0,4),(0,5),(1,7),(2,6),(3,6),(4,1),(5,2),(6,7)],8)
[1,7,4,2,5,8,3,6]=>([(0,2),(0,3),(0,4),(1,7),(2,5),(3,6),(4,1),(4,5),(5,6),(5,7)],8)
[1,6,4,3,7,5,2,8]=>([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,6,5,4,7,2,3,8]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,7),(5,1),(7,6)],8)
[1,7,3,2,6,4,8,5]=>([(0,2),(0,3),(0,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,1),(6,7)],8)
[1,5,8,2,3,6,7,4]=>([(0,5),(0,6),(4,2),(4,7),(5,4),(6,1),(6,7),(7,3)],8)
[1,3,2,6,8,5,4,7]=>([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,1),(6,7)],8)
[1,6,3,2,7,4,5,8]=>([(0,2),(0,3),(0,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,1),(7,5)],8)
[1,7,8,5,4,2,3,6]=>([(0,3),(0,4),(0,5),(0,6),(2,7),(3,7),(4,7),(5,1),(6,2)],8)
[1,8,4,2,3,6,5,7]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(3,5),(3,6),(4,1),(5,7),(6,7)],8)
[1,4,2,7,5,3,8,6]=>([(0,2),(0,3),(1,6),(1,7),(2,4),(2,5),(3,1),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[1,5,7,6,2,4,3,8]=>([(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2)],8)
[1,8,4,7,3,2,6,5]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(3,7),(4,6),(4,7),(5,1),(5,6),(5,7)],8)
[1,3,8,4,2,6,5,7]=>([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(5,7),(6,7)],8)
[1,7,4,2,6,5,8,3]=>([(0,2),(0,3),(0,4),(2,7),(3,5),(3,6),(4,1),(4,5),(4,6),(5,7),(6,7)],8)
[1,6,5,8,3,7,4,2]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(3,7),(4,6),(4,7),(5,1),(5,7)],8)
[1,7,4,8,3,2,5,6]=>([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,6),(5,7),(7,1)],8)
[1,4,8,3,2,7,5,6]=>([(0,3),(0,4),(0,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,6),(5,7),(7,1)],8)
[1,8,3,6,4,5,2,7]=>([(0,3),(0,4),(0,6),(1,7),(2,7),(4,7),(5,2),(6,1),(6,5)],8)
[1,6,4,7,3,2,8,5]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(4,6),(5,7)],8)
[8,2,3,7,4,5,6,1]=>([(2,7),(5,6),(6,4),(7,3),(7,5)],8)
[8,5,7,2,3,6,4,1]=>([(2,5),(3,4),(3,7),(5,6),(5,7)],8)
[7,5,2,1,6,8,3,4]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(6,4),(7,5)],8)
[7,6,1,5,4,8,2,3]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3)],8)
[7,6,3,2,1,8,4,5]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[2,8,7,3,4,6,1,5]=>([(0,7),(1,3),(1,4),(1,5),(5,6),(6,2),(6,7)],8)
[6,5,1,3,7,2,8,4]=>([(0,7),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(7,5)],8)
[8,1,7,3,4,5,2,6]=>([(1,2),(1,4),(1,6),(3,7),(4,7),(5,3),(6,5)],8)
[7,1,8,3,4,5,2,6]=>([(0,7),(1,3),(1,5),(1,7),(2,6),(3,6),(4,2),(5,4)],8)
[6,8,7,3,4,2,1,5]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(6,7)],8)
[3,8,7,1,2,4,5,6]=>([(0,5),(1,3),(1,4),(1,7),(5,7),(6,2),(7,6)],8)
[1,8,5,3,4,6,2,7]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,7),(4,6),(5,1),(6,7)],8)
[7,1,6,5,4,3,8,2]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,7)],8)
[7,1,3,6,4,5,8,2]=>([(0,7),(1,2),(1,6),(3,7),(4,7),(5,4),(6,3),(6,5)],8)
[7,1,5,3,6,4,8,2]=>([(0,7),(1,2),(1,4),(1,5),(3,7),(4,6),(5,3),(5,6),(6,7)],8)
[6,1,5,3,7,8,2,4]=>([(0,7),(1,2),(1,4),(1,5),(2,7),(4,6),(5,6),(5,7),(7,3)],8)
[5,8,7,1,2,6,3,4]=>([(0,6),(1,3),(1,4),(1,7),(5,2),(6,5),(6,7)],8)
[6,8,2,3,4,7,1,5]=>([(0,7),(1,4),(2,3),(2,6),(4,5),(5,6),(5,7)],8)
[5,1,7,3,8,6,2,4]=>([(0,2),(0,3),(0,7),(1,5),(1,7),(2,6),(3,4),(3,5),(3,6),(7,4)],8)
[6,1,3,2,4,7,8,5]=>([(0,7),(1,3),(1,4),(3,6),(4,6),(6,5),(6,7),(7,2)],8)
[6,2,1,3,4,7,8,5]=>([(0,7),(1,6),(2,6),(4,5),(4,7),(6,4),(7,3)],8)
[3,2,5,8,7,4,1,6]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(5,7),(6,3),(6,4),(6,7)],8)
[4,2,5,8,7,3,1,6]=>([(0,7),(1,6),(2,3),(2,6),(3,7),(6,4),(6,5),(6,7)],8)
[8,3,4,1,6,5,2,7]=>([(1,4),(2,3),(2,5),(2,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,4,8,5,7,2,1,6]=>([(0,7),(1,7),(2,6),(5,4),(5,7),(6,3),(6,5)],8)
[3,6,4,8,5,7,2,1]=>([(2,3),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
[5,8,4,7,3,6,2,1]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,2,8,7,3,1,6,5]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7)],8)
[6,5,8,2,1,7,4,3]=>([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7)],8)
[6,1,4,3,8,7,2,5]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,1,3,2,6,8,7,4]=>([(0,7),(1,4),(1,5),(4,6),(4,7),(5,6),(5,7),(7,2),(7,3)],8)
[6,1,3,8,7,2,4,5]=>([(0,5),(0,6),(1,3),(1,4),(3,7),(4,5),(4,6),(4,7),(7,2)],8)
[1,2,8,4,5,7,3,6]=>([(0,6),(3,7),(4,5),(5,1),(5,7),(6,2),(6,3),(6,4)],8)
[4,2,1,8,7,6,3,5]=>([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4)],8)
[3,2,5,8,7,1,4,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(6,3),(6,4),(6,5),(7,5)],8)
[5,6,3,8,7,2,1,4]=>([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6)],8)
[2,5,8,4,7,1,6,3]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(3,5),(3,7),(4,2),(4,5),(4,7)],8)
[1,6,2,4,8,5,7,3]=>([(0,3),(0,5),(2,6),(3,6),(3,7),(4,2),(4,7),(5,1),(5,4)],8)
[3,1,6,5,8,7,2,4]=>([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(6,3),(6,4),(7,3),(7,4)],8)
[4,8,5,3,6,7,1,2]=>([(0,7),(1,4),(2,3),(2,5),(5,7),(7,6)],8)
[1,8,5,3,4,7,6,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(4,6),(4,7),(5,1)],8)
[2,7,1,3,6,4,5,8]=>([(0,6),(1,3),(1,6),(2,7),(3,7),(4,7),(5,2),(6,4),(6,5)],8)
[8,1,7,3,5,4,6,2]=>([(1,2),(1,3),(1,6),(4,7),(5,7),(6,4),(6,5)],8)
[1,8,6,3,2,5,4,7]=>([(0,1),(0,2),(0,3),(0,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[3,2,4,8,5,7,1,6]=>([(0,7),(1,6),(2,6),(4,5),(4,7),(6,3),(6,4)],8)
[8,1,2,4,7,5,6,3]=>([(1,7),(5,4),(6,3),(6,5),(7,2),(7,6)],8)
[6,4,5,8,3,1,7,2]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,7),(5,6),(5,7)],8)
[8,6,2,1,5,7,3,4]=>([(1,6),(2,5),(2,7),(3,5),(3,7),(5,6),(7,4)],8)
[4,6,2,8,5,3,7,1]=>([(1,4),(1,5),(2,3),(2,5),(2,6),(3,7),(4,6),(4,7),(5,7)],8)
[8,7,2,4,1,5,3,6]=>([(2,5),(2,7),(3,4),(3,5),(4,7),(5,6),(7,6)],8)
[7,5,3,4,8,6,2,1]=>([(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[2,8,3,1,4,6,7,5]=>([(0,7),(1,3),(1,4),(4,7),(6,2),(7,5),(7,6)],8)
[4,3,6,5,1,2,7,8]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,7),(5,7),(6,7),(7,4)],8)
[5,8,3,7,6,4,2,1]=>([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)
[1,3,8,7,6,5,2,4]=>([(0,5),(0,6),(5,7),(6,1),(6,2),(6,3),(6,4),(6,7)],8)
[4,8,7,2,6,3,1,5]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(5,7)],8)
[1,8,7,2,6,3,5,4]=>([(0,4),(0,5),(0,7),(6,2),(6,3),(7,1),(7,6)],8)
[8,7,2,1,4,3,5,6]=>([(2,5),(2,6),(3,5),(3,6),(5,7),(6,7),(7,4)],8)
[2,8,7,1,6,3,4,5]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(5,2),(7,5)],8)
[4,2,8,7,6,5,1,3]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[1,2,5,7,4,8,6,3]=>([(0,5),(2,6),(3,6),(3,7),(4,2),(4,7),(5,1),(5,3),(5,4)],8)
[6,2,1,8,7,5,3,4]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(5,3)],8)
[6,3,8,7,4,5,2,1]=>([(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8)
[2,8,3,4,1,5,6,7]=>([(0,7),(1,3),(1,5),(4,7),(5,4),(6,2),(7,6)],8)
[1,3,7,5,4,8,6,2]=>([(0,4),(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(5,1),(5,2),(5,3)],8)
[4,5,6,3,1,8,2,7]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(3,7),(4,5),(5,6),(5,7)],8)
[1,5,6,3,8,4,2,7]=>([(0,3),(0,4),(0,5),(1,7),(2,6),(2,7),(3,7),(4,2),(5,1),(5,6)],8)
[2,6,5,3,8,4,1,7]=>([(0,7),(1,3),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,6)],8)
[5,7,3,8,4,2,6,1]=>([(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)
[5,3,6,2,8,4,1,7]=>([(0,7),(1,5),(2,4),(2,6),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[2,3,6,5,4,8,1,7]=>([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3),(5,4)],8)
[3,7,5,4,8,2,6,1]=>([(1,6),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,7,1,2,8,4,6]=>([(0,3),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(6,5),(7,4)],8)
[6,3,8,7,2,5,4,1]=>([(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7)],8)
[6,8,4,1,7,5,2,3]=>([(0,6),(0,7),(1,3),(1,7),(2,4),(2,6),(2,7),(4,5)],8)
[8,1,4,6,7,5,2,3]=>([(1,6),(1,7),(5,4),(6,2),(7,3),(7,5)],8)
[2,6,8,1,4,7,5,3]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(4,3),(4,5),(7,2),(7,5)],8)
[6,4,8,1,2,7,5,3]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(3,6),(3,7)],8)
[8,2,1,6,7,4,5,3]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,4),(7,3)],8)
[4,2,8,1,6,7,5,3]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[8,1,2,6,4,7,5,3]=>([(1,6),(4,7),(5,3),(5,7),(6,2),(6,4),(6,5)],8)
[8,4,1,6,2,7,5,3]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(3,7),(5,7)],8)
[4,8,1,2,6,7,5,3]=>([(0,5),(1,4),(1,6),(1,7),(5,3),(5,6),(5,7),(7,2)],8)
[4,8,2,1,6,7,5,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(7,3)],8)
[8,2,4,6,1,7,5,3]=>([(1,5),(1,6),(1,7),(2,3),(2,5),(3,4),(3,7),(4,6)],8)
[5,4,7,6,3,1,2,8]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(4,7),(5,7),(6,7)],8)
[3,6,4,8,1,5,2,7]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,7),(4,7),(6,7)],8)
[3,6,8,4,1,5,2,7]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(4,7),(5,2),(5,7),(6,7)],8)
[8,7,1,4,2,3,5,6]=>([(2,4),(2,6),(3,7),(4,7),(6,3),(7,5)],8)
[3,8,6,4,1,5,2,7]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,7),(4,6),(5,7),(6,7)],8)
[8,2,6,5,7,1,3,4]=>([(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(6,5)],8)
[4,6,1,3,2,8,7,5]=>([(0,4),(0,7),(1,2),(1,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8)
[7,1,4,8,2,3,6,5]=>([(0,7),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,2)],8)
[4,5,3,6,7,1,8,2]=>([(0,7),(1,4),(2,3),(2,6),(4,7),(5,6),(7,5)],8)
[1,4,7,8,3,5,2,6]=>([(0,2),(0,3),(0,5),(2,7),(3,6),(4,1),(5,4),(5,6),(6,7)],8)
[4,6,1,3,5,2,8,7]=>([(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,1,4,8,3,7,6]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(2,7),(4,6),(4,7),(5,3),(5,6),(5,7)],8)
[6,1,2,5,4,8,7,3]=>([(0,6),(0,7),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3),(5,4)],8)
[8,4,1,7,3,5,6,2]=>([(1,6),(1,7),(2,3),(2,4),(2,6),(4,7),(7,5)],8)
[8,4,1,2,5,7,3,6]=>([(1,7),(2,4),(4,5),(4,7),(5,6),(7,3),(7,6)],8)
[2,4,5,6,8,3,1,7]=>([(0,7),(1,3),(1,5),(3,7),(4,6),(5,4),(6,2),(6,7)],8)
[3,4,5,8,6,2,1,7]=>([(0,7),(1,7),(2,5),(4,7),(5,6),(6,3),(6,4)],8)
[4,5,1,8,6,3,7,2]=>([(0,4),(1,2),(1,3),(1,5),(1,6),(3,7),(4,5),(4,6),(6,7)],8)
[8,3,7,2,1,6,5,4]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[8,4,7,6,2,5,1,3]=>([(1,6),(2,6),(2,7),(3,4),(3,5),(3,7)],8)
[8,4,7,3,6,2,1,5]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,8,7,5,6,4,1,2]=>([(0,6),(1,3),(1,4),(1,5),(1,7),(7,2)],8)
[3,8,7,5,6,2,1,4]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3)],8)
[3,8,7,5,6,2,4,1]=>([(1,7),(2,4),(2,5),(2,6),(2,7),(6,3)],8)
[2,8,7,5,6,4,1,3]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(6,2)],8)
[1,5,6,3,8,2,7,4]=>([(0,2),(0,3),(0,4),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,1)],8)
[2,6,3,8,4,7,1,5]=>([(0,7),(1,3),(1,4),(2,5),(2,7),(3,5),(3,6),(4,2),(4,6)],8)
[2,6,3,5,7,8,1,4]=>([(0,6),(1,4),(1,5),(3,7),(4,7),(5,3),(5,6),(7,2)],8)
[1,5,6,3,7,2,8,4]=>([(0,2),(0,3),(0,4),(1,6),(2,5),(2,7),(3,5),(3,6),(4,1),(6,7)],8)
[1,7,5,3,6,2,8,4]=>([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(3,7),(4,5),(4,6),(6,7)],8)
[1,5,7,3,4,2,8,6]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(2,7),(3,6),(3,7),(4,2),(5,1),(5,7)],8)
[1,5,8,3,4,2,7,6]=>([(0,3),(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,2),(5,1),(5,6),(5,7)],8)
[1,4,5,3,7,2,8,6]=>([(0,2),(0,3),(0,4),(1,5),(1,7),(2,6),(2,7),(3,5),(3,7),(4,1),(5,6)],8)
[1,4,5,3,8,2,7,6]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1)],8)
[6,5,1,4,2,7,8,3]=>([(0,7),(1,7),(2,4),(2,6),(4,7),(6,3),(6,7),(7,5)],8)
[6,5,1,4,2,8,7,3]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,7,5,4,2,8,6,3]=>([(0,2),(0,3),(0,4),(0,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,6),(5,7)],8)
[5,1,6,8,3,7,2,4]=>([(0,7),(1,3),(1,4),(1,7),(3,5),(4,5),(4,6),(7,2),(7,6)],8)
[5,4,7,1,8,6,3,2]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(5,6)],8)
[1,4,8,2,6,5,3,7]=>([(0,3),(0,4),(2,7),(3,1),(3,5),(3,6),(4,2),(4,5),(4,6),(5,7),(6,7)],8)
[8,5,1,3,6,2,4,7]=>([(1,6),(2,3),(2,4),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[7,5,1,8,3,4,2,6]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(2,6),(3,7),(4,5),(5,7)],8)
[5,2,8,1,7,4,3,6]=>([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[1,2,5,6,8,7,3,4]=>([(0,7),(4,3),(5,6),(6,1),(6,2),(7,4),(7,5)],8)
[1,5,6,8,2,7,4,3]=>([(0,5),(0,6),(4,3),(4,7),(5,4),(6,1),(6,2),(6,7)],8)
[2,6,7,3,4,1,8,5]=>([(0,6),(0,7),(1,4),(1,5),(2,7),(3,6),(3,7),(4,2),(5,3)],8)
[1,6,5,7,8,2,4,3]=>([(0,4),(0,5),(0,6),(4,7),(5,7),(6,1),(6,2),(7,3)],8)
[1,5,6,7,2,8,4,3]=>([(0,5),(0,6),(3,7),(4,3),(5,4),(6,1),(6,2),(6,7)],8)
[3,7,6,1,8,2,4,5]=>([(0,5),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(5,6),(6,4)],8)
[1,3,7,2,6,4,8,5]=>([(0,3),(0,4),(2,7),(3,5),(3,6),(4,2),(4,5),(4,6),(5,7),(6,1),(6,7)],8)
[1,5,8,6,7,3,4,2]=>([(0,4),(0,6),(0,7),(5,3),(6,1),(7,2),(7,5)],8)
[1,6,5,8,7,2,4,3]=>([(0,3),(0,4),(0,5),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2)],8)
[1,5,7,6,2,8,3,4]=>([(0,5),(0,6),(2,7),(3,7),(4,1),(5,4),(5,7),(6,2),(6,3)],8)
[1,2,5,8,6,7,4,3]=>([(0,7),(5,4),(6,3),(6,5),(7,1),(7,2),(7,6)],8)
[1,2,6,5,7,3,8,4]=>([(0,5),(2,6),(3,6),(4,1),(4,7),(5,2),(5,3),(5,4),(6,7)],8)
[1,7,5,8,6,4,2,3]=>([(0,3),(0,4),(0,5),(0,6),(4,7),(5,2),(6,1),(6,7)],8)
[3,6,5,8,1,2,7,4]=>([(0,4),(1,2),(1,3),(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,7,8,1,6,3,2]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(6,5)],8)
[2,5,6,8,1,3,7,4]=>([(0,7),(1,4),(1,7),(4,5),(5,2),(5,6),(7,3),(7,6)],8)
[5,3,6,8,1,2,7,4]=>([(0,5),(1,5),(1,6),(2,4),(4,6),(4,7),(5,3),(5,7)],8)
[4,6,5,8,3,2,7,1]=>([(1,7),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,6,8,2,3,7,1]=>([(1,6),(2,4),(4,7),(5,3),(5,7),(6,5)],8)
[2,5,8,7,1,6,4,3]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(4,2),(4,3),(4,5)],8)
[4,7,5,8,3,6,2,1]=>([(2,6),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[7,3,6,8,5,2,1,4]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(3,7),(5,6)],8)
[8,3,6,7,5,2,4,1]=>([(2,7),(3,4),(3,5),(3,7),(5,6)],8)
[8,4,5,7,3,6,2,1]=>([(3,7),(4,5),(5,6),(5,7)],8)
[2,4,7,8,5,6,3,1]=>([(1,4),(1,7),(5,3),(6,2),(7,5),(7,6)],8)
[3,6,8,7,5,2,4,1]=>([(1,7),(2,5),(2,6),(2,7),(6,3),(6,4)],8)
[6,4,7,8,5,1,3,2]=>([(0,7),(1,5),(1,7),(2,3),(2,4),(7,6)],8)
[7,8,4,6,5,3,1,2]=>([(1,5),(2,4),(3,6),(3,7)],8)
[6,8,4,7,5,1,3,2]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4)],8)
[7,6,1,2,3,5,4,8]=>([(0,7),(1,7),(2,5),(3,7),(4,7),(5,6),(6,3),(6,4)],8)
[2,8,7,5,1,6,3,4]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(5,6),(7,2)],8)
[8,7,6,4,2,1,5,3]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,7,5,2,6,4,1]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(5,7)],8)
[3,8,7,5,1,2,6,4]=>([(0,5),(1,2),(1,3),(1,4),(1,7),(4,6),(5,6),(5,7)],8)
[5,8,3,7,1,4,6,2]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,7),(6,7)],8)
[3,8,7,4,2,6,5,1]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(5,6),(5,7)],8)
[5,8,3,2,4,7,6,1]=>([(1,5),(2,5),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
[5,3,8,2,4,6,1,7]=>([(0,7),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6),(6,7)],8)
[4,5,8,3,2,6,1,7]=>([(0,7),(1,7),(2,6),(3,4),(4,5),(4,7),(7,6)],8)
[5,8,2,1,4,6,3,7]=>([(0,3),(0,5),(1,6),(1,7),(2,6),(2,7),(5,4),(6,5),(7,4)],8)
[4,1,5,8,3,6,2,7]=>([(0,7),(1,3),(1,4),(1,7),(3,6),(4,5),(5,6),(7,2),(7,5)],8)
[4,5,8,3,6,1,2,7]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(4,6),(6,7)],8)
[3,2,7,1,8,5,4,6]=>([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(6,4),(7,4)],8)
[4,7,8,5,2,3,1,6]=>([(0,7),(1,5),(2,4),(2,6),(4,7),(5,7),(6,3)],8)
[6,2,7,8,1,5,3,4]=>([(0,6),(1,5),(1,7),(2,5),(2,6),(2,7),(6,3),(7,4)],8)
[2,7,1,3,8,5,4,6]=>([(0,7),(1,4),(1,7),(2,5),(3,5),(4,6),(7,2),(7,3),(7,6)],8)
[2,6,7,8,4,1,3,5]=>([(0,7),(1,3),(1,5),(1,7),(3,6),(4,2),(5,4),(7,6)],8)
[2,6,7,8,4,3,1,5]=>([(0,7),(1,3),(1,4),(1,6),(3,7),(4,7),(5,2),(6,5)],8)
[7,1,2,6,3,8,4,5]=>([(0,7),(1,6),(3,7),(4,2),(5,4),(5,7),(6,3),(6,5)],8)
[8,1,2,6,5,3,7,4]=>([(1,6),(3,7),(4,7),(5,2),(5,7),(6,3),(6,4),(6,5)],8)
[8,5,4,6,1,2,7,3]=>([(1,6),(2,6),(3,4),(4,5),(4,7),(6,7)],8)
[7,4,1,8,2,5,3,6]=>([(0,7),(1,6),(1,7),(2,3),(2,7),(3,4),(3,6),(4,5),(6,5)],8)
[7,4,8,3,1,2,6,5]=>([(0,6),(0,7),(1,5),(2,5),(2,6),(2,7),(3,4),(4,6),(4,7)],8)
[8,4,5,3,1,6,7,2]=>([(1,7),(2,5),(3,4),(3,7),(5,7),(7,6)],8)
[8,2,3,1,6,7,4,5]=>([(1,6),(1,7),(2,3),(3,6),(3,7),(6,5),(7,4)],8)
[8,2,1,7,4,3,5,6]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(4,3),(6,4),(7,4)],8)
[7,2,6,8,4,1,3,5]=>([(0,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,7),(5,7)],8)
[7,2,5,1,6,8,3,4]=>([(0,6),(0,7),(1,5),(2,4),(2,6),(4,7),(6,3),(7,5)],8)
[6,2,1,7,4,8,3,5]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(5,3),(6,3),(6,4),(7,4)],8)
[1,7,4,3,2,5,6,8]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,7),(5,6),(7,1)],8)
[1,7,4,3,6,2,5,8]=>([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[3,7,5,8,2,4,6,1]=>([(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6)],8)
[5,2,1,6,3,4,8,7]=>([(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(4,3),(7,5),(7,6)],8)
[5,1,3,4,6,2,8,7]=>([(0,7),(1,3),(1,4),(2,7),(3,5),(3,6),(4,2),(7,5),(7,6)],8)
[3,8,4,5,7,2,6,1]=>([(1,7),(2,4),(2,5),(5,6),(6,3),(6,7)],8)
[3,8,4,7,5,6,2,1]=>([(2,5),(2,7),(6,4),(7,3),(7,6)],8)
[4,2,8,6,3,7,5,1]=>([(1,3),(1,4),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(7,5)],8)
[4,1,7,6,3,8,5,2]=>([(0,2),(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,1,8,5,3,6,2]=>([(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(4,6),(5,6)],8)
[3,5,6,8,4,7,1,2]=>([(0,4),(1,3),(1,5),(3,7),(5,6),(6,2),(6,7)],8)
[5,4,1,8,6,7,2,3]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(4,5),(7,3)],8)
[6,2,8,4,5,3,7,1]=>([(1,6),(1,7),(2,3),(2,4),(2,6),(3,5),(4,7),(5,7)],8)
[4,5,2,1,8,7,3,6]=>([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(3,5),(3,6),(3,7),(4,5)],8)
[4,7,3,8,2,6,5,1]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8)
[4,7,3,1,8,6,2,5]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,7),(4,6)],8)
[6,2,1,3,7,4,8,5]=>([(0,6),(1,6),(2,5),(3,4),(3,7),(5,7),(6,3),(6,5)],8)
[6,3,7,1,2,5,8,4]=>([(0,3),(1,6),(2,5),(2,6),(2,7),(3,5),(3,7),(6,4),(7,4)],8)
[5,1,4,7,8,2,6,3]=>([(0,6),(0,7),(1,3),(1,5),(3,6),(3,7),(5,2),(5,7),(6,4)],8)
[7,2,5,8,1,3,6,4]=>([(0,5),(1,6),(2,4),(2,5),(4,6),(4,7),(5,3),(5,7)],8)
[8,3,6,7,2,4,5,1]=>([(2,7),(3,4),(3,7),(4,6),(7,5)],8)
[3,8,7,5,2,1,6,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(5,7)],8)
[3,8,5,6,2,7,4,1]=>([(1,6),(1,7),(2,3),(2,4),(2,6),(4,5),(5,7)],8)
[3,6,5,8,4,2,7,1]=>([(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,3,2,5,7,4,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(6,7)],8)
[4,1,5,6,8,7,3,2]=>([(0,7),(1,4),(1,5),(1,7),(6,2),(6,3),(7,6)],8)
[8,4,2,3,6,7,5,1]=>([(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)
[6,1,2,4,5,7,8,3]=>([(0,7),(1,6),(3,7),(5,3),(6,2),(6,5),(7,4)],8)
[4,5,1,3,7,6,8,2]=>([(0,4),(1,2),(1,3),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[3,5,4,8,6,2,7,1]=>([(1,5),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[3,6,2,4,5,8,7,1]=>([(1,5),(2,3),(2,5),(3,6),(3,7),(4,6),(4,7),(5,4)],8)
[8,1,3,7,4,5,6,2]=>([(1,4),(1,7),(5,6),(6,3),(7,2),(7,5)],8)
[8,1,5,3,6,4,7,2]=>([(1,3),(1,4),(1,5),(2,7),(4,6),(5,2),(5,6),(6,7)],8)
[2,6,4,8,3,1,5,7]=>([(0,7),(1,2),(1,3),(1,4),(2,7),(3,5),(3,7),(4,5),(4,6),(7,6)],8)
[2,6,4,1,5,8,7,3]=>([(0,2),(0,3),(0,6),(1,6),(1,7),(2,7),(3,4),(3,5),(7,4),(7,5)],8)
[3,6,4,5,2,8,1,7]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,5,4,7,3,6,2]=>([(1,2),(1,3),(1,4),(1,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,5,4,1,8,2,3]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,1,5,4,7,6,3,2]=>([(1,2),(1,3),(1,4),(1,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,1,4,6,7,3,8]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(2,5),(3,4),(4,2),(6,4),(7,5)],8)
[3,6,4,1,5,7,8,2]=>([(0,5),(0,6),(1,3),(1,4),(3,7),(4,6),(6,7),(7,2)],8)
[7,6,5,2,8,4,1,3]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(4,7)],8)
[3,1,6,5,2,8,7,4]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,6),(2,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,2,4,3,5,8,6]=>([(0,4),(0,5),(2,7),(3,7),(4,6),(5,2),(5,3),(7,1),(7,6)],8)
[3,8,1,7,4,2,6,5]=>([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(3,4),(3,5),(7,4),(7,5)],8)
[8,1,7,4,3,5,6,2]=>([(1,2),(1,3),(1,4),(1,5),(4,7),(5,7),(7,6)],8)
[6,8,2,4,5,3,7,1]=>([(1,3),(1,7),(2,5),(2,6),(4,7),(5,7),(6,4)],8)
[4,8,5,3,6,1,7,2]=>([(0,7),(1,4),(1,6),(2,3),(2,5),(5,7),(7,6)],8)
[2,8,3,1,4,7,5,6]=>([(0,7),(1,3),(1,4),(4,7),(6,2),(7,5),(7,6)],8)
[8,6,3,2,7,4,1,5]=>([(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[2,7,3,1,8,4,5,6]=>([(0,6),(0,7),(1,3),(1,4),(3,7),(4,6),(4,7),(5,2),(6,5)],8)
[1,2,8,3,5,6,4,7]=>([(0,6),(2,7),(3,7),(4,3),(5,2),(5,4),(6,1),(6,5)],8)
[3,5,7,4,8,1,6,2]=>([(0,4),(0,7),(1,3),(1,5),(2,6),(3,6),(3,7),(5,2),(5,7)],8)
[2,8,1,3,5,4,6,7]=>([(0,7),(1,2),(1,7),(3,6),(4,6),(6,5),(7,3),(7,4)],8)
[1,5,2,8,6,4,3,7]=>([(0,3),(0,4),(1,7),(2,7),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6),(6,7)],8)
[7,4,8,6,3,1,2,5]=>([(0,7),(1,6),(2,5),(3,4),(3,6),(3,7),(5,7)],8)
[3,6,8,4,1,2,5,7]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2),(5,7),(6,7)],8)
[4,7,8,5,2,1,3,6]=>([(0,6),(1,6),(2,3),(2,4),(3,7),(4,5),(6,7)],8)
[6,1,5,2,8,7,3,4]=>([(0,6),(0,7),(1,3),(1,5),(3,6),(3,7),(4,2),(5,4),(5,6),(5,7)],8)
[8,1,3,5,7,4,2,6]=>([(1,4),(1,6),(3,7),(4,7),(5,2),(5,7),(6,3),(6,5)],8)
[3,1,8,5,4,7,2,6]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,7),(5,3),(5,7),(6,3),(6,7)],8)
[3,1,6,4,8,5,2,7]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,7),(3,7),(5,4),(5,7),(6,2),(6,4)],8)
[5,1,3,4,2,6,8,7]=>([(0,7),(1,3),(1,6),(2,7),(3,7),(6,2),(7,4),(7,5)],8)
[3,2,6,4,1,5,7,8]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(4,3),(5,4),(6,5),(7,4)],8)
[5,4,2,1,8,3,6,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(6,4)],8)
[4,2,5,1,8,7,3,6]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(6,3),(7,3),(7,4),(7,5)],8)
[6,8,2,7,1,4,3,5]=>([(0,3),(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,4),(7,4)],8)
[1,8,4,7,3,2,5,6]=>([(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,1),(6,7),(7,2)],8)
[8,6,3,1,5,7,2,4]=>([(1,6),(2,5),(2,7),(3,4),(3,5),(4,7),(5,6)],8)
[5,8,3,1,4,7,6,2]=>([(0,5),(1,3),(1,5),(2,4),(2,6),(2,7),(5,6),(5,7)],8)
[1,2,5,4,7,8,3,6]=>([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(5,1),(5,2),(5,3),(6,4)],8)
[1,8,3,2,6,4,7,5]=>([(0,2),(0,3),(0,4),(3,5),(3,7),(4,5),(4,7),(5,6),(7,1),(7,6)],8)
[4,7,1,2,5,3,6,8]=>([(0,3),(0,7),(1,4),(2,5),(3,6),(4,2),(4,7),(5,6),(7,5)],8)
[6,8,4,1,3,7,2,5]=>([(0,6),(0,7),(1,3),(1,6),(2,4),(2,5),(4,7),(5,6),(5,7)],8)
[3,2,6,1,7,8,5,4]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(4,5),(5,3)],8)
[7,6,4,1,8,3,5,2]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(5,6)],8)
[5,4,1,6,7,3,2,8]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(5,7),(6,5)],8)
[7,4,1,6,5,8,2,3]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(5,7),(6,7)],8)
[8,5,4,1,6,7,3,2]=>([(1,7),(2,7),(3,4),(3,5),(3,7),(7,6)],8)
[5,2,1,6,4,7,8,3]=>([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(5,6),(6,3),(7,6)],8)
[1,6,2,3,5,7,8,4]=>([(0,4),(0,5),(2,7),(4,7),(5,6),(6,1),(6,2),(7,3)],8)
[1,3,4,8,5,2,6,7]=>([(0,4),(0,5),(2,7),(4,7),(5,6),(6,1),(6,2),(7,3)],8)
[8,2,4,6,1,7,3,5]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,7),(4,6),(5,7)],8)
[1,5,7,2,3,6,8,4]=>([(0,4),(0,5),(1,7),(3,2),(3,6),(4,3),(5,1),(5,6),(6,7)],8)
[7,3,1,4,2,5,8,6]=>([(0,5),(1,6),(2,3),(2,5),(3,7),(5,7),(7,4),(7,6)],8)
[3,2,5,7,8,4,1,6]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(5,7),(6,3),(6,7)],8)
[4,3,5,1,6,2,7,8]=>([(0,5),(1,5),(2,3),(2,6),(3,7),(5,6),(6,7),(7,4)],8)
[8,6,3,5,4,1,2,7]=>([(1,7),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[8,3,2,6,1,5,4,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[8,5,1,7,4,6,2,3]=>([(1,6),(1,7),(2,3),(2,4),(2,6),(3,7),(4,5)],8)
[4,8,1,7,6,3,5,2]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(3,5)],8)
[8,5,1,7,4,3,6,2]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[8,5,7,6,2,1,3,4]=>([(1,7),(2,7),(3,4),(3,5),(7,6)],8)
[5,4,8,3,1,7,2,6]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(4,7)],8)
[5,1,4,8,3,2,7,6]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,8,1,7,6,5,2,3]=>([(0,3),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(4,2)],8)
[4,3,8,7,2,6,1,5]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[3,8,7,2,6,4,1,5]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(6,7)],8)
[8,2,5,7,4,3,6,1]=>([(2,4),(2,5),(2,6),(4,7),(5,7),(6,3),(6,7)],8)
[3,8,7,4,6,1,2,5]=>([(0,5),(1,3),(1,4),(1,6),(5,7),(6,2),(6,7)],8)
[8,7,6,3,5,4,1,2]=>([(3,7),(4,5),(4,6)],8)
[2,8,4,7,6,1,5,3]=>([(0,6),(0,7),(1,4),(1,5),(1,7),(5,2),(5,3),(5,6)],8)
[2,5,4,8,3,1,7,6]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,4,8,2,1,3,7,6]=>([(0,5),(1,5),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
[3,8,7,2,6,1,5,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[1,8,4,7,6,3,5,2]=>([(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,2),(6,7)],8)
[1,8,3,7,6,5,2,4]=>([(0,4),(0,5),(0,6),(5,7),(6,1),(6,2),(6,3),(6,7)],8)
[1,4,3,8,7,2,6,5]=>([(0,1),(0,2),(0,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[7,1,5,4,6,2,3,8]=>([(0,7),(1,3),(1,4),(1,5),(2,7),(3,6),(4,6),(5,2),(6,7)],8)
[7,4,1,3,6,2,5,8]=>([(0,6),(1,5),(1,7),(2,3),(2,4),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[5,4,3,1,7,6,2,8]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(6,5),(7,5)],8)
[2,6,8,3,1,7,4,5]=>([(0,6),(0,7),(1,3),(1,5),(3,6),(3,7),(5,2),(5,7),(6,4)],8)
[2,5,4,8,1,7,3,6]=>([(0,4),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7)],8)
[7,5,2,4,8,3,6,1]=>([(1,6),(2,6),(2,7),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[7,8,2,6,3,5,4,1]=>([(1,6),(2,5),(2,7),(7,3),(7,4)],8)
[7,2,6,5,8,3,4,1]=>([(1,7),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3)],8)
[5,6,3,1,4,2,7,8]=>([(0,6),(1,3),(2,4),(2,6),(3,7),(4,7),(6,7),(7,5)],8)
[2,6,5,3,4,8,7,1]=>([(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[2,6,1,5,3,4,7,8]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,7),(3,7),(5,7),(6,2),(7,4)],8)
[3,4,7,8,5,1,6,2]=>([(0,6),(1,4),(1,7),(3,7),(5,2),(6,3),(6,5)],8)
[3,6,2,4,7,8,5,1]=>([(1,6),(2,3),(2,6),(3,7),(6,5),(6,7),(7,4)],8)
[5,3,6,4,8,7,2,1]=>([(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,4,8,6,2,7,3]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,7),(6,7)],8)
[4,5,2,7,6,3,8,1]=>([(1,4),(2,3),(2,5),(2,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,8,3,1,2,7,6,4]=>([(0,5),(0,6),(0,7),(1,4),(2,3),(2,6),(2,7),(4,5),(4,6),(4,7)],8)
[7,6,2,5,3,8,4,1]=>([(1,7),(2,7),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[8,4,6,1,3,7,2,5]=>([(1,4),(1,7),(2,3),(2,5),(3,7),(4,6),(5,6),(5,7)],8)
[4,8,5,1,2,3,6,7]=>([(0,6),(1,2),(1,4),(3,7),(4,7),(6,3),(7,5)],8)
[8,6,2,4,5,1,3,7]=>([(1,7),(2,6),(3,4),(3,6),(4,5),(5,7),(6,7)],8)
[4,5,1,3,8,6,2,7]=>([(0,4),(1,2),(1,3),(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
[7,4,2,3,6,8,5,1]=>([(1,5),(2,6),(2,7),(3,4),(4,6),(4,7),(7,5)],8)
[2,1,6,7,4,8,3,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(5,2),(6,3),(7,3),(7,4)],8)
[7,8,1,3,6,4,5,2]=>([(0,5),(1,4),(1,7),(6,3),(7,2),(7,6)],8)
[7,2,6,8,4,5,3,1]=>([(1,7),(2,4),(2,5),(2,6),(5,7),(6,3)],8)
[7,3,6,8,5,1,4,2]=>([(0,7),(1,4),(1,6),(2,3),(2,5),(2,6),(5,7)],8)
[7,5,8,1,6,2,4,3]=>([(0,6),(1,3),(1,7),(2,6),(2,7),(3,4),(3,5)],8)
[5,7,8,1,6,3,2,4]=>([(0,5),(0,7),(1,3),(1,4),(1,7),(3,6),(4,6),(5,2)],8)
[7,2,6,8,5,1,4,3]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7)],8)
[7,5,2,4,8,3,1,6]=>([(0,7),(1,6),(2,6),(2,7),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[7,8,3,1,6,2,5,4]=>([(0,5),(0,6),(0,7),(1,3),(2,4),(2,5),(4,6),(4,7)],8)
[6,7,8,4,3,1,5,2]=>([(0,7),(1,7),(2,5),(3,4),(3,7),(5,6)],8)
[7,8,3,6,4,1,5,2]=>([(0,5),(1,6),(1,7),(2,3),(2,4),(4,7)],8)
[7,3,8,1,6,4,5,2]=>([(0,5),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(7,3)],8)
[1,7,5,8,2,4,6,3]=>([(0,3),(0,4),(0,5),(2,6),(3,7),(4,6),(4,7),(5,1),(5,2)],8)
[7,5,2,8,1,4,6,3]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,7),(5,6)],8)
[3,7,8,2,6,5,1,4]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4)],8)
[3,7,8,2,1,6,4,5]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(4,5),(7,3)],8)
[7,8,1,6,3,5,4,2]=>([(0,6),(1,4),(1,5),(1,7),(7,2),(7,3)],8)
[6,7,8,2,5,4,3,1]=>([(1,7),(2,4),(2,5),(2,6),(7,3)],8)
[6,7,8,3,1,5,4,2]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(2,7),(4,5)],8)
[7,8,1,6,2,5,4,3]=>([(0,6),(1,5),(1,7),(7,2),(7,3),(7,4)],8)
[5,6,1,4,3,8,2,7]=>([(0,5),(1,2),(1,3),(1,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,6,8,3,4,7,2]=>([(0,7),(1,3),(1,5),(1,7),(4,6),(5,4),(7,2),(7,6)],8)
[7,1,6,8,5,4,3,2]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(6,7)],8)
[5,6,8,1,2,3,7,4]=>([(0,5),(1,6),(4,3),(4,7),(5,4),(6,2),(6,7)],8)
[4,8,1,2,7,6,5,3]=>([(0,4),(1,3),(1,5),(1,6),(1,7),(4,2),(4,5),(4,6),(4,7)],8)
[4,6,1,2,8,5,7,3]=>([(0,3),(0,7),(1,4),(3,5),(3,6),(4,2),(4,6),(4,7),(7,5)],8)
[6,4,7,3,5,2,1,8]=>([(0,7),(1,7),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
[5,7,8,4,2,1,3,6]=>([(0,7),(1,6),(2,6),(3,4),(3,7),(4,5),(6,7)],8)
[3,1,6,2,5,7,8,4]=>([(0,3),(0,7),(1,4),(1,6),(1,7),(3,4),(3,6),(5,2),(6,5),(7,5)],8)
[1,6,4,5,2,7,3,8]=>([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,1),(5,2),(5,7),(7,6)],8)
[6,2,1,4,5,3,7,8]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,7),(5,7),(6,3),(7,4)],8)
[6,2,1,5,7,3,4,8]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(5,3),(6,4),(7,6)],8)
[1,2,4,6,8,3,7,5]=>([(0,5),(2,6),(2,7),(3,4),(3,7),(4,1),(4,6),(5,2),(5,3)],8)
[1,3,5,8,2,6,7,4]=>([(0,3),(0,5),(3,6),(3,7),(4,2),(4,7),(5,4),(5,6),(7,1)],8)
[6,1,3,7,2,8,5,4]=>([(0,2),(0,3),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(7,4)],8)
[6,4,5,8,3,7,1,2]=>([(0,7),(1,6),(1,7),(2,4),(3,5),(5,6),(5,7)],8)
[8,1,4,3,6,7,2,5]=>([(1,2),(1,3),(1,4),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[2,6,8,4,3,1,7,5]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,7)],8)
[8,1,5,2,6,4,3,7]=>([(1,4),(1,5),(2,7),(3,7),(4,6),(5,2),(5,3),(5,6),(6,7)],8)
[1,6,7,4,2,8,3,5]=>([(0,3),(0,4),(0,5),(1,7),(2,6),(3,6),(3,7),(4,1),(5,2),(5,7)],8)
[1,7,8,4,3,6,2,5]=>([(0,2),(0,3),(0,4),(0,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1)],8)
[1,4,7,2,3,6,8,5]=>([(0,3),(0,4),(1,7),(2,5),(2,6),(3,2),(4,1),(4,5),(4,6),(6,7)],8)
[3,1,2,6,7,8,5,4]=>([(0,5),(0,6),(0,7),(1,3),(3,5),(3,6),(3,7),(4,2),(7,4)],8)
[3,8,1,6,4,2,7,5]=>([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(3,4),(3,7),(5,7),(6,4),(6,7)],8)
[1,6,3,4,7,8,2,5]=>([(0,3),(0,4),(0,5),(2,6),(2,7),(3,7),(4,6),(5,2),(7,1)],8)
[3,1,5,7,6,2,8,4]=>([(0,5),(0,6),(1,4),(1,6),(2,7),(3,7),(4,5),(4,7),(6,2),(6,3)],8)
[6,3,1,4,2,7,8,5]=>([(0,7),(1,5),(2,3),(2,5),(3,6),(3,7),(5,6),(5,7),(7,4)],8)
[2,4,3,7,6,1,8,5]=>([(0,6),(0,7),(1,2),(1,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
[3,1,7,6,5,2,8,4]=>([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,7),(4,7),(5,7),(6,7)],8)
[1,4,7,6,8,3,2,5]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(5,7)],8)
[7,2,1,5,6,3,8,4]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(4,7),(5,4),(6,3),(6,7)],8)
[4,3,1,8,6,2,7,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,7),(6,4)],8)
[3,1,5,2,8,7,6,4]=>([(0,2),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(7,3),(7,4),(7,5)],8)
[1,2,8,4,3,7,6,5]=>([(0,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,2),(4,3)],8)
[2,6,1,8,7,4,3,5]=>([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(6,3),(7,3)],8)
[7,5,1,8,3,2,6,4]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7)],8)
[4,7,6,3,1,8,2,5]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6)],8)
[5,3,1,8,6,2,4,7]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(5,4),(7,4)],8)
[5,1,8,6,3,2,4,7]=>([(0,5),(0,7),(1,2),(1,3),(1,5),(1,7),(2,6),(3,6),(6,4),(7,4)],8)
[1,5,4,2,8,6,3,7]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,1),(4,6),(4,7),(7,5)],8)
[1,4,2,8,5,3,7,6]=>([(0,2),(0,3),(1,4),(1,5),(2,6),(2,7),(3,1),(3,6),(3,7),(7,4),(7,5)],8)
[8,3,1,6,4,2,5,7]=>([(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(5,4),(6,5),(7,4)],8)
[1,7,4,8,3,5,2,6]=>([(0,1),(0,2),(0,3),(0,4),(1,7),(2,5),(3,6),(4,5),(4,6),(6,7)],8)
[7,3,2,4,8,5,1,6]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(6,5)],8)
[5,7,8,1,4,2,6,3]=>([(0,6),(0,7),(1,4),(1,5),(4,7),(5,3),(5,7),(6,2)],8)
[2,6,3,8,1,7,5,4]=>([(0,2),(0,3),(1,4),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[2,5,1,8,6,3,7,4]=>([(0,3),(0,7),(1,5),(1,6),(1,7),(3,5),(3,6),(6,4),(7,2),(7,4)],8)
[2,8,6,4,1,7,3,5]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(3,7),(4,5),(4,7),(6,5)],8)
[1,8,4,2,7,5,3,6]=>([(0,2),(0,3),(0,4),(1,7),(3,5),(3,6),(4,1),(4,5),(4,6),(6,7)],8)
[6,5,1,7,2,8,4,3]=>([(0,7),(1,7),(2,3),(2,7),(3,4),(3,5),(3,6),(7,6)],8)
[2,8,1,7,5,3,6,4]=>([(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(6,4),(7,2),(7,4)],8)
[1,2,8,7,6,4,3,5]=>([(0,6),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4),(6,5)],8)
[4,1,7,8,6,3,5,2]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(4,5),(7,2)],8)
[1,6,5,7,8,4,2,3]=>([(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,1),(7,2)],8)
[4,1,8,7,6,3,5,2]=>([(0,2),(0,3),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(3,4)],8)
[4,8,2,6,3,5,1,7]=>([(0,7),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6),(5,7),(6,7)],8)
[4,3,5,7,1,6,2,8]=>([(0,6),(1,6),(2,4),(2,5),(3,7),(4,7),(5,7),(6,3),(6,5)],8)
[4,1,8,5,3,6,2,7]=>([(0,5),(0,7),(1,2),(1,3),(1,5),(1,7),(2,4),(3,6),(6,4),(7,6)],8)
[6,4,2,5,3,1,7,8]=>([(0,7),(1,7),(2,6),(3,4),(3,6),(4,7),(6,7),(7,5)],8)
[3,1,5,8,2,7,4,6]=>([(0,3),(0,7),(1,6),(1,7),(3,5),(3,6),(6,4),(7,2),(7,4),(7,5)],8)
[6,4,1,5,3,2,7,8]=>([(0,7),(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(6,7),(7,5)],8)
[6,2,1,5,4,3,7,8]=>([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7),(7,3)],8)
[3,1,8,5,4,6,2,7]=>([(0,4),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(5,3),(6,5),(7,5)],8)
[6,1,8,4,5,3,2,7]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,2)],8)
[4,5,2,7,1,6,3,8]=>([(0,4),(0,7),(1,4),(1,5),(1,7),(2,3),(3,5),(3,7),(4,6),(5,6),(7,6)],8)
[4,3,5,7,1,6,8,2]=>([(0,6),(1,6),(2,3),(2,5),(4,7),(5,7),(6,4),(6,5)],8)
[4,1,8,5,3,6,7,2]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(4,7),(6,7),(7,2)],8)
[6,3,8,4,5,1,7,2]=>([(0,6),(0,7),(1,3),(1,7),(2,4),(2,6),(4,5),(5,7)],8)
[3,1,6,8,5,7,4,2]=>([(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(6,4),(7,2),(7,4)],8)
[2,6,1,8,5,7,4,3]=>([(0,2),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(7,3)],8)
[6,3,8,4,5,2,1,7]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(5,7)],8)
[6,5,8,7,2,3,4,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(4,5)],8)
[6,3,8,4,5,2,7,1]=>([(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(5,7)],8)
[2,1,6,8,5,3,7,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,7),(5,3),(5,7),(6,2),(6,7)],8)
[3,2,6,8,5,4,7,1]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3),(6,7)],8)
[4,1,8,5,2,6,3,7]=>([(0,5),(0,7),(1,3),(1,5),(1,7),(2,4),(3,2),(3,6),(6,4),(7,6)],8)
[3,1,6,8,5,2,4,7]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(4,7),(5,7),(6,2),(6,7)],8)
[6,5,8,7,4,1,2,3]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(4,5)],8)
[6,5,8,7,4,2,1,3]=>([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[6,5,8,7,2,4,1,3]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7)],8)
[6,2,8,4,5,7,1,3]=>([(0,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(4,7)],8)
[6,1,8,4,5,7,3,2]=>([(0,6),(0,7),(1,2),(1,3),(1,5),(1,7),(4,6),(5,4)],8)
[4,2,7,3,5,8,6,1]=>([(1,5),(1,7),(2,3),(2,5),(3,7),(5,6),(7,4),(7,6)],8)
[3,6,2,4,8,5,7,1]=>([(1,5),(2,3),(2,5),(3,6),(3,7),(4,7),(5,4),(5,6)],8)
[3,5,1,8,4,7,6,2]=>([(0,3),(0,7),(1,2),(1,6),(1,7),(3,4),(3,5),(3,6),(7,4),(7,5)],8)
[3,6,1,8,5,4,7,2]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,8,3,7,6,5,1]=>([(1,3),(1,4),(3,5),(3,6),(3,7),(4,2),(4,5),(4,6),(4,7)],8)
[3,6,8,2,5,7,4,1]=>([(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,7),(6,7)],8)
[2,6,8,5,4,3,7,1]=>([(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,2),(6,7)],8)
[3,6,8,2,5,4,7,1]=>([(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,8,3,2,5,7,1]=>([(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(7,6)],8)
[4,6,2,8,3,5,7,1]=>([(1,3),(1,5),(2,4),(2,6),(3,6),(4,5),(4,7),(6,7)],8)
[3,6,1,8,5,7,4,2]=>([(0,3),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(3,4),(3,5),(7,4)],8)
[5,2,6,8,4,1,7,3]=>([(0,6),(1,5),(1,7),(2,4),(2,5),(2,6),(4,7),(6,3),(6,7)],8)
[4,6,3,8,7,2,5,1]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6)],8)
[3,5,8,2,7,4,6,1]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(3,7),(5,7)],8)
[2,6,8,5,7,4,3,1]=>([(1,3),(1,4),(1,5),(1,6),(5,7),(6,2),(6,7)],8)
[2,4,8,7,6,3,5,1]=>([(1,5),(1,6),(5,7),(6,2),(6,3),(6,4),(6,7)],8)
[7,5,1,6,3,2,8,4]=>([(0,7),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[2,7,6,3,4,1,8,5]=>([(0,6),(0,7),(1,2),(1,3),(1,5),(2,7),(3,7),(4,6),(4,7),(5,4)],8)
[5,7,6,3,1,2,8,4]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(3,7),(4,7),(5,6),(5,7)],8)
[4,8,2,1,7,5,6,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(7,3)],8)
[6,3,8,5,7,2,4,1]=>([(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7)],8)
[1,5,4,8,6,2,3,7]=>([(0,2),(0,3),(0,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,1),(6,7)],8)
[8,2,1,7,5,3,6,4]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,4),(7,3),(7,4)],8)
[8,2,1,6,7,3,5,4]=>([(1,6),(1,7),(2,6),(2,7),(6,5),(7,3),(7,4)],8)
[6,2,8,1,7,5,3,4]=>([(0,4),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3)],8)
[3,5,1,8,7,6,2,4]=>([(0,3),(0,7),(1,2),(1,4),(1,5),(1,6),(2,7),(3,4),(3,5),(3,6)],8)
[5,6,2,7,8,1,3,4]=>([(0,6),(1,6),(1,7),(2,3),(3,7),(6,5),(7,4)],8)
[4,7,8,3,5,6,1,2]=>([(0,7),(1,5),(2,6),(2,7),(6,3),(7,4)],8)
[3,2,5,6,8,4,7,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(5,7),(6,3)],8)
[8,4,5,2,6,3,7,1]=>([(2,5),(3,4),(3,6),(4,7),(5,6),(6,7)],8)
[2,5,6,4,8,3,7,1]=>([(1,2),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,3)],8)
[4,2,5,7,3,8,1,6]=>([(0,7),(1,5),(2,3),(2,5),(3,6),(3,7),(4,6),(5,4),(5,7)],8)
[4,7,3,1,6,8,2,5]=>([(0,6),(0,7),(1,3),(1,6),(2,4),(2,6),(2,7),(3,7),(4,5),(6,5)],8)
[4,2,7,6,8,1,3,5]=>([(0,5),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(5,4),(6,3),(7,3)],8)
[1,7,4,6,8,3,2,5]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,6),(5,1),(5,7)],8)
[4,7,2,5,6,3,1,8]=>([(0,7),(1,4),(1,6),(2,3),(2,6),(3,7),(4,7),(5,7),(6,5)],8)
[5,4,1,3,7,8,2,6]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,7),(4,6),(4,7),(6,5)],8)
[6,1,5,8,3,7,2,4]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(4,5),(4,7)],8)
[7,2,1,6,8,3,5,4]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(5,6),(7,3),(7,4)],8)
[5,6,4,1,8,3,2,7]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6),(5,7)],8)
[4,5,2,1,7,8,3,6]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(3,6),(3,7),(5,6),(7,4)],8)
[2,3,7,8,5,1,6,4]=>([(0,6),(0,7),(1,5),(3,6),(4,2),(5,3),(5,4),(5,7)],8)
[1,2,6,7,4,3,5,8]=>([(0,5),(1,7),(2,6),(3,6),(4,1),(5,2),(5,3),(5,4),(6,7)],8)
[5,8,6,3,4,1,2,7]=>([(0,6),(1,5),(2,3),(2,4),(4,7),(5,7),(6,7)],8)
[6,2,3,1,8,5,4,7]=>([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
[5,1,2,6,4,8,3,7]=>([(0,6),(1,4),(2,7),(3,5),(3,7),(4,2),(4,3),(4,6),(6,5),(6,7)],8)
[8,6,2,3,7,5,1,4]=>([(1,7),(2,6),(3,4),(4,5),(4,6),(4,7)],8)
[4,5,2,8,6,1,3,7]=>([(0,3),(1,6),(2,5),(2,6),(2,7),(3,5),(3,7),(6,4),(7,4)],8)
[3,4,8,2,5,6,1,7]=>([(0,7),(1,6),(2,3),(3,5),(3,7),(4,6),(7,4)],8)
[6,8,2,7,5,3,1,4]=>([(0,7),(1,4),(1,6),(2,3),(2,5),(2,6),(5,7)],8)
[6,3,2,5,8,4,1,7]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[5,6,7,2,8,4,1,3]=>([(0,6),(1,4),(2,3),(2,6),(2,7),(4,5),(5,7)],8)
[5,8,3,6,4,1,7,2]=>([(0,4),(0,7),(1,3),(1,6),(2,5),(2,6),(5,7),(6,7)],8)
[4,3,8,5,2,7,1,6]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(5,6),(5,7)],8)
[2,8,4,5,1,6,3,7]=>([(0,6),(0,7),(1,2),(1,4),(1,7),(3,6),(4,3),(6,5),(7,5)],8)
[3,2,5,8,4,7,1,6]=>([(0,7),(1,4),(1,6),(2,4),(2,6),(4,5),(4,7),(6,3),(6,5),(6,7)],8)
[2,5,8,1,3,4,7,6]=>([(0,7),(1,4),(1,7),(3,5),(3,6),(4,2),(4,5),(4,6),(7,3)],8)
[3,5,1,8,7,4,2,6]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,7),(3,4),(3,5),(3,7),(6,7)],8)
[4,6,1,3,8,2,7,5]=>([(0,4),(0,7),(1,2),(1,3),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8)
[8,6,1,2,3,5,7,4]=>([(1,7),(2,5),(4,7),(5,6),(6,3),(6,4)],8)
[5,1,7,8,3,2,4,6]=>([(0,6),(0,7),(1,3),(1,4),(1,7),(3,5),(4,5),(5,6),(7,2)],8)
[3,1,7,6,2,8,5,4]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,7),(5,7),(6,7)],8)
[5,3,6,7,4,2,8,1]=>([(1,7),(2,6),(3,4),(3,6),(4,7),(5,7),(6,5)],8)
[5,4,2,8,6,7,3,1]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[6,1,4,2,8,7,3,5]=>([(0,6),(0,7),(1,3),(1,4),(2,5),(3,5),(3,6),(3,7),(4,2),(4,6),(4,7)],8)
[3,7,2,6,8,4,5,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3)],8)
[4,6,5,2,7,8,3,1]=>([(1,3),(1,7),(2,4),(2,5),(4,7),(5,7),(7,6)],8)
[5,4,6,2,7,8,3,1]=>([(1,6),(2,6),(3,5),(3,7),(6,7),(7,4)],8)
[5,1,8,6,4,2,7,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,2),(4,7),(6,7)],8)
[6,2,1,8,5,7,4,3]=>([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3)],8)
[5,4,6,2,3,1,8,7]=>([(0,6),(0,7),(1,5),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,7,8,1,3,4,2]=>([(0,7),(1,7),(2,4),(2,6),(6,3),(7,5)],8)
[2,1,7,6,8,4,5,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(5,2),(6,3),(7,3)],8)
[6,4,7,2,8,3,1,5]=>([(0,7),(1,5),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)
[6,3,2,7,8,4,5,1]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8)
[4,7,3,1,5,2,8,6]=>([(0,6),(1,3),(1,6),(2,4),(2,6),(3,7),(4,5),(4,7),(6,5),(6,7)],8)
[4,7,6,3,1,5,8,2]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[2,4,7,3,8,5,1,6]=>([(0,7),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6),(6,7)],8)
[2,7,3,1,8,5,4,6]=>([(0,2),(0,3),(1,5),(1,6),(1,7),(2,7),(3,5),(3,6),(3,7),(5,4),(6,4)],8)
[2,8,3,1,7,4,5,6]=>([(0,6),(0,7),(1,3),(1,4),(4,6),(4,7),(5,2),(7,5)],8)
[1,2,6,8,3,4,7,5]=>([(0,6),(3,4),(4,1),(4,7),(5,2),(5,7),(6,3),(6,5)],8)
[1,8,2,7,3,5,6,4]=>([(0,4),(0,7),(5,3),(6,2),(6,5),(7,1),(7,6)],8)
[1,7,4,8,6,5,3,2]=>([(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,2),(6,7)],8)
[1,6,3,5,7,4,8,2]=>([(0,3),(0,4),(0,5),(1,7),(2,6),(4,6),(5,1),(5,2),(6,7)],8)
[1,5,4,7,2,8,3,6]=>([(0,2),(0,3),(0,4),(1,7),(2,5),(2,7),(3,5),(3,7),(4,1),(4,6),(5,6)],8)
[3,8,5,2,6,1,7,4]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(4,6),(6,5)],8)
[3,7,4,8,5,2,6,1]=>([(1,6),(2,3),(2,4),(3,7),(4,5),(4,7),(5,6)],8)
[8,1,2,6,5,3,4,7]=>([(1,6),(2,7),(3,7),(4,7),(5,4),(6,2),(6,3),(6,5)],8)
[3,7,4,2,5,6,1,8]=>([(0,7),(1,6),(2,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[6,8,7,1,3,4,2,5]=>([(0,3),(0,4),(1,5),(1,6),(2,7),(5,7),(6,2)],8)
[3,4,2,8,6,7,5,1]=>([(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)
[3,7,8,6,1,4,2,5]=>([(0,4),(0,7),(1,3),(1,5),(1,7),(4,6),(5,2),(7,6)],8)
[3,6,1,5,2,7,8,4]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(3,7),(4,5),(4,7),(6,7),(7,2)],8)
[7,1,6,8,3,4,2,5]=>([(0,7),(1,2),(1,4),(1,5),(2,7),(3,6),(4,6),(5,3)],8)
[8,1,2,6,3,5,7,4]=>([(1,6),(3,7),(4,7),(5,2),(5,4),(6,3),(6,5)],8)
[6,2,8,4,7,1,3,5]=>([(0,7),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(7,4)],8)
[3,7,8,4,2,5,6,1]=>([(1,7),(2,4),(2,6),(4,7),(6,3),(7,5)],8)
[3,4,2,8,5,1,6,7]=>([(0,5),(1,6),(1,7),(2,4),(4,6),(4,7),(5,3),(7,5)],8)
[6,8,2,7,5,4,1,3]=>([(0,6),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7)],8)
[1,8,4,3,7,6,2,5]=>([(0,1),(0,2),(0,3),(0,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,3,8,7,1,2,6,5]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(3,6),(3,7)],8)
[1,8,4,5,7,6,2,3]=>([(0,4),(0,5),(0,6),(5,3),(6,7),(7,1),(7,2)],8)
[4,3,8,5,7,1,6,2]=>([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(7,3),(7,6)],8)
[6,3,4,8,7,2,1,5]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(4,5),(4,6),(4,7)],8)
[5,3,8,4,7,1,6,2]=>([(0,5),(0,6),(0,7),(1,3),(1,7),(2,4),(2,5),(4,6),(4,7)],8)
[5,2,8,7,1,4,6,3]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[3,2,8,7,1,6,4,5]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[2,7,8,3,1,6,4,5]=>([(0,6),(0,7),(1,4),(1,5),(4,6),(4,7),(5,3),(7,2)],8)
[2,7,8,5,1,4,6,3]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(3,5),(4,2),(7,5)],8)
[3,5,8,7,4,1,6,2]=>([(0,5),(0,7),(1,4),(1,6),(4,7),(6,2),(6,3),(6,7)],8)
[7,4,6,8,3,5,1,2]=>([(0,7),(1,6),(2,4),(3,5),(3,6),(5,7)],8)
[2,7,8,1,3,6,4,5]=>([(0,7),(1,5),(1,7),(5,3),(6,2),(7,4),(7,6)],8)
[2,7,8,1,5,4,6,3]=>([(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(3,2),(6,4),(7,4)],8)
[2,7,8,1,4,5,6,3]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(4,3),(5,2),(7,5)],8)
[3,6,7,8,2,4,1,5]=>([(0,7),(1,6),(2,3),(2,6),(3,5),(5,4),(6,7)],8)
[4,5,7,8,6,3,1,2]=>([(1,5),(2,7),(6,4),(7,3),(7,6)],8)
[5,4,6,8,7,3,1,2]=>([(1,7),(2,7),(3,4),(7,5),(7,6)],8)
[4,5,8,6,7,1,3,2]=>([(0,7),(1,4),(1,5),(6,3),(7,2),(7,6)],8)
[5,7,6,8,2,1,3,4]=>([(0,6),(1,6),(2,3),(2,4),(3,7),(4,7),(6,5)],8)
[3,7,6,8,2,4,1,5]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6)],8)
[5,4,7,8,6,3,1,2]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(7,4)],8)
[4,5,7,8,2,6,1,3]=>([(0,3),(1,6),(2,6),(2,7),(3,5),(3,7),(5,4)],8)
[4,5,6,8,7,3,1,2]=>([(1,5),(2,6),(6,7),(7,3),(7,4)],8)
[6,1,5,3,8,4,7,2]=>([(0,6),(0,7),(1,2),(1,4),(1,5),(3,6),(4,6),(4,7),(5,3),(5,7)],8)
[1,8,6,2,5,4,7,3]=>([(0,4),(0,5),(0,6),(2,7),(3,7),(5,7),(6,1),(6,2),(6,3)],8)
[3,8,4,1,7,5,2,6]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(3,6),(3,7),(4,5),(7,5)],8)
[6,2,7,4,8,3,1,5]=>([(0,7),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6)],8)
[2,8,5,1,4,3,7,6]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,2,7,5,1,4,3]=>([(0,6),(0,7),(1,3),(1,5),(2,4),(2,5),(2,6),(2,7)],8)
[8,3,4,5,6,1,7,2]=>([(1,6),(2,4),(2,7),(3,7),(5,3),(6,5)],8)
[5,3,6,4,7,2,1,8]=>([(0,7),(1,7),(2,5),(3,4),(3,5),(4,6),(5,6),(6,7)],8)
[4,2,6,5,7,3,1,8]=>([(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(5,6),(6,7)],8)
[5,4,6,2,7,3,1,8]=>([(0,7),(1,5),(2,5),(3,4),(3,6),(4,7),(5,6),(6,7)],8)
[3,2,6,5,8,4,1,7]=>([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,3),(5,7),(6,3),(6,7)],8)
[3,2,6,5,8,7,1,4]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(5,3),(5,4),(6,3),(6,4)],8)
[4,2,6,5,8,7,1,3]=>([(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8)
[5,2,6,4,8,7,1,3]=>([(0,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(7,4),(7,5)],8)
[5,4,7,6,8,2,1,3]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7)],8)
[6,4,7,5,8,3,1,2]=>([(1,6),(2,4),(3,5),(3,6),(5,7),(6,7)],8)
[4,2,7,5,8,6,1,3]=>([(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,4),(7,3),(7,4)],8)
[3,2,7,5,8,4,1,6]=>([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,3),(6,3),(6,7)],8)
[4,3,7,2,8,5,1,6]=>([(0,6),(0,7),(1,5),(2,4),(2,7),(3,4),(3,7),(4,6),(7,5)],8)
[4,3,6,2,8,5,1,7]=>([(0,7),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,7),(6,7)],8)
[4,3,7,6,8,5,1,2]=>([(0,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,4),(7,4)],8)
[5,3,7,6,8,2,1,4]=>([(0,7),(1,7),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
[5,3,7,2,8,6,1,4]=>([(0,6),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,6),(3,7),(4,5)],8)
[3,2,6,4,8,7,1,5]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4),(7,5)],8)
[4,2,7,3,8,6,1,5]=>([(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,6)],8)
[5,2,7,6,8,3,1,4]=>([(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(6,4),(7,4)],8)
[3,2,7,6,8,4,1,5]=>([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(5,4),(6,3),(7,3)],8)
[3,2,7,6,8,5,1,4]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(5,3),(6,3)],8)
[6,2,7,5,8,4,1,3]=>([(0,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(6,7)],8)
[4,8,1,7,3,2,5,6]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(7,4)],8)
[3,7,4,8,2,1,5,6]=>([(0,7),(1,7),(2,4),(2,5),(4,6),(5,6),(5,7),(7,3)],8)
[3,7,8,2,5,4,6,1]=>([(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(5,7),(6,7)],8)
[4,7,5,8,3,2,6,1]=>([(1,7),(2,7),(3,4),(3,5),(4,6),(5,6),(5,7)],8)
[6,7,1,3,2,5,8,4]=>([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,7),(6,7)],8)
[8,7,6,4,1,5,3,2]=>([(3,7),(4,5),(4,6),(4,7)],8)
[3,8,5,2,6,4,7,1]=>([(1,5),(1,7),(2,3),(2,4),(2,5),(4,7),(5,6),(7,6)],8)
[7,2,5,3,4,8,1,6]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,5,3,7,8,6,1]=>([(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[5,3,6,2,4,1,8,7]=>([(0,6),(0,7),(1,5),(2,4),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,6,2,3,5,4,1]=>([(2,4),(3,5),(5,6),(5,7)],8)
[5,8,2,6,3,7,4,1]=>([(1,3),(1,6),(2,4),(2,6),(4,5),(4,7),(6,7)],8)
[4,8,2,3,7,5,6,1]=>([(1,5),(2,3),(2,6),(2,7),(5,6),(5,7),(7,4)],8)
[7,5,6,2,3,8,4,1]=>([(1,7),(2,4),(3,5),(4,7),(5,6),(5,7)],8)
[2,7,5,6,4,3,8,1]=>([(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2)],8)
[2,8,4,3,7,5,6,1]=>([(1,3),(1,4),(1,5),(4,6),(4,7),(5,6),(5,7),(7,2)],8)
[3,8,5,7,6,4,2,1]=>([(2,5),(2,6),(2,7),(7,3),(7,4)],8)
[7,8,6,3,5,4,2,1]=>([(3,7),(4,5),(4,6)],8)
[2,7,6,3,8,5,4,1]=>([(1,4),(1,5),(1,6),(4,7),(5,7),(6,2),(6,3),(6,7)],8)
[7,4,2,5,6,3,8,1]=>([(1,7),(2,6),(3,4),(3,6),(4,7),(5,7),(6,5)],8)
[6,2,7,5,3,8,4,1]=>([(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(4,7),(6,7)],8)
[2,4,8,3,7,5,6,1]=>([(1,4),(1,5),(4,6),(4,7),(5,3),(5,6),(5,7),(7,2)],8)
[4,8,3,7,5,6,2,1]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[6,2,5,8,3,7,4,1]=>([(1,6),(1,7),(2,3),(2,4),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,3,8,2,5,6,1]=>([(1,7),(2,6),(2,7),(3,5),(3,7),(5,6),(7,4)],8)
[8,2,5,6,3,7,4,1]=>([(2,5),(2,6),(4,7),(5,4),(6,3),(6,7)],8)
[4,5,3,7,1,2,6,8]=>([(0,6),(0,7),(1,3),(2,4),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[8,5,6,4,1,3,2,7]=>([(1,7),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[6,7,2,8,4,3,1,5]=>([(0,7),(1,5),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6)],8)
[6,7,3,2,8,4,1,5]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(4,7),(5,6)],8)
[4,7,8,3,1,5,2,6]=>([(0,7),(1,3),(1,7),(2,4),(2,7),(3,5),(4,6),(7,6)],8)
[4,5,8,1,3,2,6,7]=>([(0,6),(1,3),(1,4),(3,7),(4,7),(6,2),(6,7),(7,5)],8)
[4,7,8,1,6,3,2,5]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(3,7),(4,7),(5,2)],8)
[4,7,1,3,8,6,5,2]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(3,5),(3,6),(3,7),(4,5)],8)
[5,7,2,8,3,4,6,1]=>([(1,4),(1,7),(2,3),(2,6),(3,7),(4,5),(5,6)],8)
[3,7,2,8,5,6,4,1]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(4,7),(6,3)],8)
[3,1,5,8,6,4,7,2]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(4,5),(6,5),(7,2),(7,4)],8)
[2,5,6,1,8,7,3,4]=>([(0,5),(0,6),(0,7),(1,4),(1,7),(3,5),(3,6),(4,3),(7,2)],8)
[3,6,2,8,4,7,5,1]=>([(1,5),(1,6),(2,4),(2,5),(4,6),(4,7),(5,3),(5,7)],8)
[2,3,8,6,7,5,4,1]=>([(1,7),(6,5),(7,2),(7,3),(7,4),(7,6)],8)
[8,5,6,3,1,4,2,7]=>([(1,6),(2,5),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[5,7,8,3,4,6,2,1]=>([(2,5),(3,4),(3,7),(4,6),(5,7)],8)
[3,5,1,8,6,4,2,7]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,7),(3,4),(3,5),(5,7),(6,7)],8)
[7,5,3,8,6,4,2,1]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,1,3,8,6,4,2,7]=>([(0,5),(0,6),(1,3),(1,4),(2,7),(3,7),(4,2),(4,5),(4,6),(6,7)],8)
[1,5,8,3,6,4,2,7]=>([(0,3),(0,4),(0,5),(2,7),(3,7),(4,1),(4,6),(5,2),(5,6),(6,7)],8)
[7,5,8,3,6,4,2,1]=>([(2,6),(3,6),(3,7),(4,5),(4,7)],8)
[1,5,8,6,3,4,2,7]=>([(0,4),(0,5),(0,6),(2,7),(3,7),(4,7),(5,3),(6,1),(6,2)],8)
[3,7,5,8,2,6,4,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7)],8)
[5,7,8,1,4,6,2,3]=>([(0,6),(0,7),(1,4),(1,5),(4,7),(5,3),(6,2)],8)
[1,3,7,8,4,2,6,5]=>([(0,3),(0,5),(2,6),(2,7),(3,6),(3,7),(4,1),(5,2),(5,4)],8)
[6,1,2,5,3,4,7,8]=>([(0,7),(1,6),(2,7),(3,7),(5,3),(6,2),(6,5),(7,4)],8)
[1,4,6,5,7,2,3,8]=>([(0,4),(0,5),(1,7),(2,6),(3,6),(4,1),(5,2),(5,3),(6,7)],8)
[6,7,3,5,4,1,2,8]=>([(0,6),(1,5),(2,3),(2,4),(3,7),(4,7),(5,7),(6,7)],8)
[8,1,6,7,3,5,4,2]=>([(1,5),(1,6),(1,7),(6,4),(7,2),(7,3)],8)
[7,2,4,1,6,5,3,8]=>([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,2,5,1,3,7,6,8]=>([(0,7),(1,6),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)
[1,3,2,6,8,4,7,5]=>([(0,3),(0,4),(3,6),(3,7),(4,6),(4,7),(6,2),(6,5),(7,1),(7,5)],8)
[8,1,7,5,4,2,6,3]=>([(1,3),(1,4),(1,5),(1,6),(4,7),(5,7),(6,2),(6,7)],8)
[1,2,6,4,7,3,5,8]=>([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3),(5,7),(6,7)],8)
[1,6,4,3,7,2,5,8]=>([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[5,7,8,3,2,6,1,4]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5)],8)
[8,4,5,1,3,7,6,2]=>([(1,5),(2,3),(2,4),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,4,3,7,1,5,2]=>([(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7)],8)
[7,3,1,8,6,5,2,4]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6)],8)
[2,7,3,1,4,8,6,5]=>([(0,7),(1,4),(1,5),(4,7),(5,6),(7,2),(7,3),(7,6)],8)
[3,1,6,5,7,8,4,2]=>([(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(4,2),(6,4),(7,4)],8)
[4,3,1,5,8,7,6,2]=>([(0,7),(1,7),(2,3),(2,7),(7,4),(7,5),(7,6)],8)
[4,7,1,3,2,5,6,8]=>([(0,5),(0,7),(1,2),(1,3),(2,7),(3,7),(4,6),(5,6),(7,4)],8)
[1,7,2,5,6,8,4,3]=>([(0,4),(0,6),(3,7),(4,7),(5,3),(6,1),(6,2),(6,5)],8)
[4,7,6,8,3,1,5,2]=>([(0,7),(1,3),(1,7),(2,4),(2,5),(2,7),(4,6),(5,6)],8)
[3,5,4,7,1,8,6,2]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(2,5),(2,7),(3,5),(3,7),(5,6)],8)
[7,1,5,4,2,3,6,8]=>([(0,6),(1,3),(1,4),(1,5),(2,7),(3,7),(4,7),(5,2),(7,6)],8)
[7,1,3,6,4,5,2,8]=>([(0,7),(1,4),(1,6),(2,7),(3,7),(4,7),(5,3),(6,2),(6,5)],8)
[6,1,3,8,4,5,2,7]=>([(0,6),(0,7),(1,3),(1,5),(2,7),(3,7),(4,2),(5,4),(5,6)],8)
[5,8,6,3,1,2,7,4]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(4,7),(5,6),(5,7)],8)
[5,8,2,7,1,3,6,4]=>([(0,7),(1,5),(1,7),(2,4),(2,5),(2,6),(7,3),(7,6)],8)
[2,6,5,4,1,3,7,8]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(6,7),(7,5)],8)
[4,1,5,7,6,3,2,8]=>([(0,6),(1,2),(1,3),(1,6),(2,7),(3,7),(4,7),(5,7),(6,4),(6,5)],8)
[4,5,1,7,6,3,2,8]=>([(0,4),(1,2),(1,3),(1,5),(1,6),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,4,2,1,8,7,3,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8)
[6,2,1,5,4,3,8,7]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,2,6,7,8,5,3]=>([(0,3),(0,5),(3,6),(3,7),(4,2),(5,1),(5,6),(5,7),(7,4)],8)
[1,4,2,5,6,8,7,3]=>([(0,4),(0,5),(4,7),(5,3),(5,7),(6,1),(6,2),(7,6)],8)
[2,5,3,6,7,8,4,1]=>([(1,4),(1,5),(4,7),(5,3),(5,7),(6,2),(7,6)],8)
[1,8,6,2,4,3,5,7]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(4,7),(5,1),(5,2),(6,7)],8)
[3,2,4,5,7,8,1,6]=>([(0,6),(1,6),(2,7),(3,5),(3,7),(5,4),(6,3)],8)
[2,3,4,7,5,8,6,1]=>([(1,4),(3,7),(4,6),(5,2),(5,7),(6,3),(6,5)],8)
[6,5,2,8,7,4,3,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[7,8,5,4,2,1,6,3]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5)],8)
[7,5,2,8,6,4,3,1]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[7,8,3,2,6,5,4,1]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4)],8)
[8,2,6,3,7,5,1,4]=>([(1,6),(2,3),(2,4),(3,7),(4,5),(4,6),(4,7)],8)
[8,6,7,2,5,3,1,4]=>([(1,7),(2,5),(3,4),(3,6),(6,7)],8)
[1,6,2,7,8,4,5,3]=>([(0,4),(0,6),(4,7),(5,2),(6,1),(6,5),(6,7),(7,3)],8)
[8,6,2,7,5,4,1,3]=>([(1,7),(2,6),(3,4),(3,5),(3,6),(3,7)],8)
[1,6,8,2,7,5,3,4]=>([(0,5),(0,6),(4,3),(5,1),(5,7),(6,2),(6,4),(6,7)],8)
[7,6,3,2,8,1,5,4]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,1,7,4,3,8,6,2]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6)],8)
[8,6,3,7,2,4,1,5]=>([(1,7),(2,5),(3,6),(4,5),(4,6),(6,7)],8)
[1,7,8,6,4,2,3,5]=>([(0,3),(0,4),(0,5),(0,6),(2,7),(4,7),(5,1),(6,2)],8)
[7,2,8,6,4,1,3,5]=>([(0,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(6,7)],8)
[1,5,3,7,4,2,6,8]=>([(0,2),(0,3),(0,4),(1,7),(2,7),(3,5),(3,7),(4,1),(4,5),(5,6),(7,6)],8)
[1,7,6,4,3,2,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,6,3,4,2,5,8]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,6),(5,1),(6,7)],8)
[1,2,7,4,3,8,6,5]=>([(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,2),(4,3)],8)
[1,5,4,2,3,8,7,6]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1)],8)
[1,5,3,2,4,6,7,8]=>([(0,2),(0,3),(0,4),(2,7),(3,6),(4,6),(5,1),(6,7),(7,5)],8)
[1,5,4,2,3,7,8,6]=>([(0,3),(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(7,1)],8)
[1,2,7,6,3,5,8,4]=>([(0,6),(2,7),(3,7),(4,7),(5,1),(5,4),(6,2),(6,3),(6,5)],8)
[8,1,3,2,6,5,7,4]=>([(1,2),(1,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[3,2,7,5,6,1,8,4]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,3)],8)
[7,4,5,1,6,3,8,2]=>([(0,7),(1,5),(2,3),(2,4),(2,6),(4,7),(5,6),(6,7)],8)
[7,5,6,1,4,3,8,2]=>([(0,7),(1,6),(2,3),(2,4),(2,5),(4,7),(5,7),(6,7)],8)
[3,2,6,4,8,5,7,1]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(6,3),(6,4),(7,4),(7,5)],8)
[8,1,4,3,5,2,7,6]=>([(1,2),(1,3),(1,4),(2,5),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,8,1,6,3,5,4]=>([(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(7,3),(7,4)],8)
[8,3,6,5,4,1,2,7]=>([(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(6,7)],8)
[1,7,5,8,4,6,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,7),(4,6),(5,6),(5,7)],8)
[6,5,7,1,2,8,3,4]=>([(0,3),(1,6),(2,6),(3,5),(3,7),(5,4),(6,7)],8)
[7,1,4,2,3,8,6,5]=>([(0,7),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,2)],8)
[8,1,2,5,3,7,6,4]=>([(1,5),(3,6),(3,7),(4,2),(4,6),(4,7),(5,3),(5,4)],8)
[8,6,5,2,4,1,7,3]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[3,6,5,2,4,1,7,8]=>([(0,7),(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(6,7),(7,5)],8)
[6,8,5,2,4,3,1,7]=>([(0,7),(1,7),(2,4),(2,7),(3,5),(3,6),(5,7),(6,7)],8)
[3,4,2,8,6,7,1,5]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(6,3)],8)
[4,6,7,2,5,1,8,3]=>([(0,5),(0,7),(1,5),(1,6),(2,3),(2,6),(3,4),(4,7),(6,7)],8)
[3,6,2,5,1,7,8,4]=>([(0,6),(0,7),(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(5,7),(7,4)],8)
[3,4,2,7,8,1,5,6]=>([(0,7),(1,6),(1,7),(2,4),(4,6),(4,7),(6,5),(7,3)],8)
[7,1,4,2,5,8,6,3]=>([(0,6),(1,4),(1,5),(4,7),(5,3),(5,7),(7,2),(7,6)],8)
[7,8,5,1,2,4,3,6]=>([(0,7),(1,5),(2,6),(3,7),(4,7),(6,3),(6,4)],8)
[5,8,1,4,3,6,7,2]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(3,7),(4,7),(7,5)],8)
[7,2,3,8,6,4,1,5]=>([(0,7),(1,3),(2,6),(3,4),(3,5),(3,6),(5,7)],8)
[5,2,3,8,7,4,1,6]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(3,5),(3,6),(4,7)],8)
[5,7,6,3,1,2,4,8]=>([(0,6),(1,5),(2,3),(2,4),(3,7),(4,7),(5,6),(6,7)],8)
[4,6,2,7,8,1,3,5]=>([(0,5),(1,5),(1,7),(2,3),(2,6),(3,7),(5,6),(7,4)],8)
[6,2,3,7,1,4,5,8]=>([(0,7),(1,5),(2,4),(3,6),(4,5),(4,7),(5,6),(7,3)],8)
[4,6,7,8,2,1,3,5]=>([(0,3),(0,7),(1,6),(2,6),(3,5),(5,4),(6,7)],8)
[8,6,3,2,1,7,5,4]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,1,3,4,2,5,8,7]=>([(0,6),(0,7),(1,3),(1,4),(2,5),(3,5),(4,2),(5,6),(5,7)],8)
[5,1,3,6,2,4,8,7]=>([(0,2),(0,3),(1,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[1,5,7,6,8,2,4,3]=>([(0,5),(0,6),(3,7),(4,7),(5,1),(5,2),(6,3),(6,4)],8)
[5,7,1,3,8,4,2,6]=>([(0,4),(0,7),(1,3),(1,5),(2,7),(3,7),(4,6),(5,2),(5,6)],8)
[2,6,1,4,3,7,8,5]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,7),(5,4),(5,7),(6,4),(6,7),(7,2)],8)
[1,6,2,4,3,5,8,7]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(3,7),(4,1),(4,2),(5,6),(5,7)],8)
[5,3,7,6,1,8,4,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,7),(5,7),(6,7)],8)
[1,5,6,3,7,8,4,2]=>([(0,4),(0,5),(0,6),(2,7),(5,2),(6,1),(6,7),(7,3)],8)
[1,5,7,6,3,8,4,2]=>([(0,4),(0,5),(0,6),(2,7),(3,7),(5,1),(5,7),(6,2),(6,3)],8)
[7,3,5,6,1,8,4,2]=>([(0,7),(1,4),(1,6),(2,3),(2,6),(2,7),(4,5),(5,7)],8)
[7,3,6,1,5,8,4,2]=>([(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(6,7)],8)
[1,6,3,7,8,5,4,2]=>([(0,4),(0,5),(0,6),(5,7),(6,1),(6,2),(6,7),(7,3)],8)
[1,7,8,6,3,5,4,2]=>([(0,4),(0,5),(0,6),(0,7),(6,3),(7,1),(7,2)],8)
[3,7,5,6,1,8,4,2]=>([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(2,7),(3,7),(5,2)],8)
[5,6,2,8,4,7,3,1]=>([(1,5),(2,3),(2,4),(2,6),(4,7),(5,6),(5,7)],8)
[7,3,5,4,1,2,6,8]=>([(0,6),(1,5),(2,3),(2,4),(3,7),(4,7),(5,7),(7,6)],8)
[7,8,5,1,3,2,4,6]=>([(0,6),(1,3),(2,4),(2,5),(4,7),(5,7),(7,6)],8)
[7,5,1,3,8,6,2,4]=>([(0,7),(1,5),(1,7),(2,3),(2,4),(3,6),(4,5),(4,6),(4,7)],8)
[7,1,3,8,2,5,4,6]=>([(0,2),(0,3),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[3,1,5,4,7,2,6,8]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,7),(4,3),(5,4),(5,7),(6,4),(6,7),(7,3)],8)
[5,7,6,1,3,8,2,4]=>([(0,2),(0,3),(1,4),(1,5),(2,7),(3,7),(4,6),(5,6),(5,7)],8)
[5,7,6,3,8,1,4,2]=>([(0,6),(0,7),(1,3),(1,6),(2,4),(2,5),(4,7),(5,7)],8)
[5,1,3,7,6,2,4,8]=>([(0,2),(0,3),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,6,3,7,2,4,5,8]=>([(0,2),(0,3),(0,4),(1,6),(2,7),(3,5),(4,5),(4,7),(5,6),(7,1)],8)
[5,3,2,4,8,1,7,6]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(3,4),(4,5),(4,6),(4,7)],8)
[6,8,5,3,2,7,1,4]=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7)],8)
[8,3,7,2,6,5,1,4]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[4,6,2,7,1,3,8,5]=>([(0,7),(1,3),(1,5),(2,6),(2,7),(3,6),(6,4),(7,4),(7,5)],8)
[3,5,1,4,7,2,8,6]=>([(0,2),(0,6),(1,3),(1,6),(2,5),(2,7),(3,4),(3,7),(5,4),(6,5),(6,7)],8)
[5,1,4,8,7,3,2,6]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,7),(3,7),(4,5),(4,6),(4,7)],8)
[6,1,3,4,2,7,8,5]=>([(0,7),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3),(7,2)],8)
[6,5,2,3,7,8,1,4]=>([(0,7),(1,7),(2,6),(3,5),(5,6),(5,7),(7,4)],8)
[1,5,3,8,4,2,7,6]=>([(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,5)],8)
[5,4,2,1,8,3,7,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(4,6)],8)
[3,1,7,4,2,6,8,5]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(5,3),(6,3),(7,4),(7,5)],8)
[7,4,8,2,3,5,1,6]=>([(0,5),(1,6),(2,5),(2,7),(3,4),(4,7),(7,6)],8)
[8,4,1,3,2,6,7,5]=>([(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[8,1,7,3,2,5,6,4]=>([(1,3),(1,4),(1,5),(4,6),(4,7),(5,6),(5,7),(7,2)],8)
[8,6,5,2,7,3,1,4]=>([(1,7),(2,7),(3,6),(4,5),(4,7),(5,6)],8)
[3,1,6,8,4,2,7,5]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(3,7),(5,2),(5,7),(6,4),(6,7)],8)
[5,6,2,3,7,4,1,8]=>([(0,7),(1,3),(2,4),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[6,2,4,7,3,5,1,8]=>([(0,7),(1,5),(2,3),(2,4),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,4,8,5,3,6,7,2]=>([(0,4),(0,5),(0,6),(2,7),(5,7),(6,1),(6,2),(7,3)],8)
[2,5,6,3,1,8,4,7]=>([(0,6),(0,7),(1,2),(1,4),(2,6),(2,7),(3,5),(3,7),(4,3),(6,5)],8)
[4,5,1,2,7,8,6,3]=>([(0,4),(1,5),(4,6),(4,7),(5,3),(5,6),(5,7),(7,2)],8)
[4,8,5,1,2,6,7,3]=>([(0,6),(1,3),(1,4),(4,7),(6,2),(6,7),(7,5)],8)
[4,6,7,5,1,2,8,3]=>([(0,6),(1,4),(1,5),(3,7),(4,7),(5,3),(6,2),(6,7)],8)
[7,2,8,1,4,5,3,6]=>([(0,6),(1,4),(1,7),(2,4),(2,6),(2,7),(3,5),(4,3),(7,5)],8)
[6,1,4,7,3,8,2,5]=>([(0,6),(1,2),(1,3),(1,4),(2,7),(3,6),(3,7),(4,5),(4,7),(6,5)],8)
[7,1,6,3,4,8,2,5]=>([(0,7),(1,2),(1,3),(1,5),(2,7),(3,6),(4,6),(4,7),(5,4)],8)
[2,8,4,6,3,1,5,7]=>([(0,7),(1,2),(1,3),(1,5),(3,7),(4,6),(5,4),(5,7),(7,6)],8)
[8,2,6,3,5,1,4,7]=>([(1,6),(2,3),(2,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,7,4,1,5,8,2,6]=>([(0,4),(0,7),(1,2),(1,3),(2,7),(3,5),(4,6),(7,5),(7,6)],8)
[3,8,4,1,7,2,5,6]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(4,7),(5,7),(7,2)],8)
[6,7,5,1,3,8,2,4]=>([(0,7),(1,3),(2,4),(2,5),(3,7),(4,6),(5,6),(5,7)],8)
[8,5,1,3,6,7,2,4]=>([(1,6),(2,3),(2,4),(3,7),(4,6),(4,7),(6,5)],8)
[7,8,6,2,4,1,3,5]=>([(1,6),(2,4),(3,5),(3,6),(5,7),(6,7)],8)
[8,2,4,1,3,6,7,5]=>([(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[8,1,3,6,2,5,7,4]=>([(1,3),(1,4),(2,7),(3,5),(3,6),(4,2),(4,5),(4,6),(6,7)],8)
[1,5,6,3,8,4,7,2]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(2,7),(4,2),(5,1),(5,7)],8)
[5,6,1,3,7,2,8,4]=>([(0,4),(1,2),(1,3),(2,5),(2,7),(3,5),(3,6),(4,6),(6,7)],8)
[5,6,1,8,2,3,7,4]=>([(0,5),(0,7),(1,3),(3,6),(3,7),(4,2),(4,6),(5,4)],8)
[5,6,1,2,8,4,7,3]=>([(0,4),(1,5),(3,6),(4,6),(4,7),(5,2),(5,3),(5,7)],8)
[3,7,8,1,6,4,2,5]=>([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(3,5),(4,2),(7,5)],8)
[1,7,8,6,3,4,2,5]=>([(0,3),(0,4),(0,5),(0,6),(2,7),(4,7),(5,1),(6,2)],8)
[1,7,3,8,6,4,2,5]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,7),(5,1),(5,2),(5,7)],8)
[5,7,1,8,6,4,2,3]=>([(0,4),(0,7),(1,3),(1,5),(1,6),(1,7),(4,6),(5,2)],8)
[7,8,1,5,6,4,2,3]=>([(0,5),(1,4),(1,6),(1,7),(6,3),(7,2)],8)
[7,1,8,5,6,4,2,3]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(5,3),(6,2)],8)
[7,1,5,8,6,4,2,3]=>([(0,7),(1,4),(1,5),(1,6),(5,3),(6,2),(6,7)],8)
[8,1,3,5,6,4,2,7]=>([(1,4),(1,6),(2,7),(3,7),(4,7),(5,3),(6,2),(6,5)],8)
[1,3,8,5,6,4,2,7]=>([(0,4),(0,6),(2,7),(3,7),(4,7),(5,3),(6,1),(6,2),(6,5)],8)
[1,3,5,8,6,4,2,7]=>([(0,4),(0,6),(2,7),(3,7),(4,7),(5,1),(5,3),(6,2),(6,5)],8)
[1,5,7,8,6,4,2,3]=>([(0,4),(0,6),(0,7),(5,3),(6,1),(7,2),(7,5)],8)
[1,8,2,6,5,3,4,7]=>([(0,4),(0,6),(1,7),(2,7),(3,7),(5,3),(6,1),(6,2),(6,5)],8)
[8,6,1,5,2,3,4,7]=>([(1,7),(2,4),(2,6),(3,7),(4,7),(5,3),(6,5)],8)
[8,5,1,6,2,3,4,7]=>([(1,6),(2,3),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[7,6,1,2,3,8,4,5]=>([(0,7),(1,7),(2,5),(4,3),(5,6),(6,4),(6,7)],8)
[2,7,8,4,1,3,5,6]=>([(0,6),(1,4),(1,5),(1,6),(4,7),(5,3),(6,7),(7,2)],8)
[6,8,1,2,3,7,4,5]=>([(0,6),(1,3),(1,7),(4,2),(5,4),(5,7),(6,5)],8)
[8,1,3,5,6,7,2,4]=>([(1,3),(1,6),(3,7),(4,5),(5,2),(6,4),(6,7)],8)
[8,1,2,5,3,4,7,6]=>([(1,5),(2,6),(2,7),(3,6),(3,7),(4,3),(5,2),(5,4)],8)
[5,2,7,3,4,8,1,6]=>([(0,7),(1,5),(1,7),(2,3),(2,5),(3,4),(4,6),(4,7),(5,6)],8)
[2,7,5,4,1,3,6,8]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,5),(6,7),(7,5)],8)
[2,7,4,6,5,1,8,3]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,2),(5,3)],8)
[6,8,7,5,2,1,4,3]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5)],8)
[2,8,6,3,5,1,4,7]=>([(0,6),(1,2),(1,4),(1,5),(3,7),(4,7),(5,3),(5,6),(6,7)],8)
[1,2,8,6,4,5,3,7]=>([(0,6),(2,7),(3,7),(4,7),(5,4),(6,1),(6,2),(6,3),(6,5)],8)
[1,5,8,7,6,3,4,2]=>([(0,5),(0,6),(0,7),(6,4),(7,1),(7,2),(7,3)],8)
[1,4,7,8,5,6,3,2]=>([(0,3),(0,4),(0,7),(5,2),(6,1),(7,5),(7,6)],8)
[1,6,4,8,5,7,3,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(4,7),(5,1),(5,7)],8)
[1,6,8,5,2,7,3,4]=>([(0,3),(0,5),(0,6),(3,7),(4,1),(5,2),(5,7),(6,4),(6,7)],8)
[1,3,4,8,5,2,7,6]=>([(0,3),(0,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,1),(5,2)],8)
[3,5,8,7,6,2,4,1]=>([(1,7),(2,6),(2,7),(6,3),(6,4),(6,5)],8)
[6,5,3,7,4,1,8,2]=>([(0,6),(1,6),(2,4),(2,7),(3,5),(3,6),(5,7),(6,7)],8)
[3,1,5,4,6,8,7,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(5,7),(6,7),(7,2),(7,3)],8)
[3,1,6,4,2,5,8,7]=>([(0,5),(0,7),(1,2),(1,5),(1,7),(2,6),(5,6),(6,3),(6,4),(7,3),(7,4)],8)
[3,6,1,4,5,7,8,2]=>([(0,5),(0,7),(1,4),(1,7),(2,6),(5,6),(6,3),(7,2)],8)
[1,8,4,7,2,3,6,5]=>([(0,3),(0,4),(0,5),(2,6),(2,7),(4,2),(5,1),(5,6),(5,7)],8)
[5,7,8,2,4,6,1,3]=>([(0,6),(1,4),(1,7),(2,3),(2,6),(3,7),(4,5)],8)
[5,4,2,3,6,8,1,7]=>([(0,7),(1,7),(2,6),(3,4),(4,7),(7,5),(7,6)],8)
[3,8,1,6,4,2,5,7]=>([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(3,5),(5,4),(6,5),(7,4)],8)
[7,3,2,1,8,6,4,5]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4)],8)
[8,7,2,4,1,3,6,5]=>([(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,6,3,5,7,1,4]=>([(1,6),(2,3),(2,4),(3,7),(4,5),(4,6),(5,7)],8)
[1,8,3,7,4,6,5,2]=>([(0,4),(0,5),(0,7),(6,2),(6,3),(7,1),(7,6)],8)
[8,2,3,1,7,4,5,6]=>([(1,6),(1,7),(2,4),(3,5),(4,6),(4,7),(7,3)],8)
[3,1,7,8,6,2,5,4]=>([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(3,4),(3,5),(7,2)],8)
[4,8,1,2,6,5,7,3]=>([(0,4),(1,3),(1,6),(1,7),(4,2),(4,6),(4,7),(6,5),(7,5)],8)
[5,6,1,8,3,7,2,4]=>([(0,4),(1,2),(1,3),(1,7),(2,5),(3,5),(3,6),(4,6),(4,7)],8)
[2,8,1,6,5,3,7,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(4,7),(5,7),(6,2),(6,7)],8)
[2,1,5,7,6,3,8,4]=>([(0,5),(0,6),(1,5),(1,6),(2,7),(3,7),(5,4),(5,7),(6,2),(6,3)],8)
[4,1,2,5,7,6,8,3]=>([(0,7),(1,5),(3,6),(4,6),(5,2),(5,7),(7,3),(7,4)],8)
[4,3,5,1,7,8,6,2]=>([(0,5),(1,5),(2,4),(2,6),(2,7),(5,6),(5,7),(7,3)],8)
[1,8,5,2,3,4,7,6]=>([(0,2),(0,3),(0,5),(1,6),(1,7),(3,6),(3,7),(4,1),(5,4)],8)
[1,5,8,2,3,4,7,6]=>([(0,4),(0,5),(2,6),(2,7),(3,2),(4,3),(5,1),(5,6),(5,7)],8)
[1,2,7,8,4,5,6,3]=>([(0,7),(4,2),(5,6),(6,3),(7,1),(7,4),(7,5)],8)
[4,3,8,7,6,2,5,1]=>([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[5,4,8,2,7,6,3,1]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)
[2,3,6,1,7,5,8,4]=>([(0,3),(1,5),(1,6),(1,7),(2,7),(3,2),(3,5),(3,6),(6,4),(7,4)],8)
[4,6,5,2,1,7,8,3]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,7),(4,7),(7,5)],8)
[4,6,1,7,5,8,3,2]=>([(0,4),(0,7),(1,2),(1,3),(1,5),(1,7),(4,5),(5,6),(7,6)],8)
[4,1,5,7,6,8,3,2]=>([(0,7),(1,2),(1,3),(1,7),(4,6),(5,6),(7,4),(7,5)],8)
[3,5,6,2,1,4,7,8]=>([(0,7),(1,7),(2,3),(2,7),(3,5),(5,6),(6,4),(7,6)],8)
[4,3,6,5,1,7,8,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,7),(5,7),(6,7),(7,4)],8)
[4,6,5,3,1,7,8,2]=>([(0,7),(1,3),(1,7),(2,4),(2,5),(4,7),(5,7),(7,6)],8)
[5,8,1,4,2,3,6,7]=>([(0,5),(0,7),(1,3),(1,6),(2,7),(3,7),(6,2),(7,4)],8)
[4,5,8,2,3,1,6,7]=>([(0,7),(1,5),(2,6),(5,7),(6,3),(6,7),(7,4)],8)
[3,5,4,8,1,7,2,6]=>([(0,4),(0,7),(1,2),(1,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6)],8)
[5,3,6,8,1,4,7,2]=>([(0,7),(1,5),(1,7),(2,4),(2,5),(5,6),(7,3),(7,6)],8)
[3,5,1,8,6,4,7,2]=>([(0,3),(0,7),(1,2),(1,5),(1,6),(1,7),(3,5),(3,6),(6,4),(7,4)],8)
[4,7,2,8,3,1,6,5]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(3,6),(3,7),(4,5)],8)
[1,2,5,6,8,3,7,4]=>([(0,6),(3,4),(4,1),(4,7),(5,2),(5,7),(6,3),(6,5)],8)
[5,3,8,4,6,2,7,1]=>([(1,6),(2,5),(2,7),(3,4),(3,5),(4,7),(7,6)],8)
[7,4,8,1,5,2,6,3]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(3,7),(6,7)],8)
[8,3,2,1,6,5,7,4]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[4,1,5,6,8,7,2,3]=>([(0,7),(1,5),(1,7),(5,4),(6,2),(6,3),(7,6)],8)
[1,2,5,6,8,4,7,3]=>([(0,6),(3,7),(4,5),(5,1),(5,7),(6,2),(6,3),(6,4)],8)
[1,5,6,8,4,7,2,3]=>([(0,3),(0,5),(0,6),(3,7),(4,1),(4,7),(5,2),(6,4)],8)
[5,6,8,1,2,4,7,3]=>([(0,6),(1,5),(4,7),(5,3),(5,7),(6,2),(6,4)],8)
[6,8,1,4,5,7,2,3]=>([(0,4),(0,7),(1,5),(1,6),(3,7),(5,2),(6,3)],8)
[4,3,5,1,8,6,7,2]=>([(0,5),(1,5),(2,4),(2,6),(2,7),(5,6),(5,7),(7,3)],8)
[1,3,5,6,8,4,7,2]=>([(0,3),(0,6),(2,7),(4,5),(5,1),(5,7),(6,2),(6,4)],8)
[5,6,8,2,3,4,7,1]=>([(1,6),(2,5),(4,7),(5,4),(6,3),(6,7)],8)
[6,5,1,2,4,8,7,3]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(5,6),(5,7)],8)
[5,8,7,2,1,3,6,4]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(7,3),(7,6)],8)
[5,1,7,2,8,6,3,4]=>([(0,6),(0,7),(1,4),(1,7),(3,2),(4,3),(4,5),(4,6),(7,5)],8)
[6,1,5,3,4,8,7,2]=>([(0,6),(0,7),(1,2),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3)],8)
[5,8,6,3,2,1,4,7]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(5,6),(7,6)],8)
[8,7,1,6,3,5,4,2]=>([(2,5),(2,6),(2,7),(7,3),(7,4)],8)
[3,2,1,7,8,6,4,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,4),(7,3)],8)
[8,6,7,1,2,5,3,4]=>([(1,5),(2,7),(6,4),(7,3),(7,6)],8)
[1,5,6,4,2,8,7,3]=>([(0,3),(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,2),(5,1),(5,6),(5,7)],8)
[7,5,1,4,8,2,3,6]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(3,5),(4,6),(4,7),(5,7)],8)
[3,2,8,1,7,5,6,4]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[8,4,3,1,7,5,6,2]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[6,1,7,8,4,2,3,5]=>([(0,7),(1,4),(1,5),(1,7),(3,6),(4,6),(5,3),(7,2)],8)
[7,4,3,1,8,5,2,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(6,5)],8)
[7,8,1,6,3,4,5,2]=>([(0,5),(1,3),(1,4),(1,7),(6,2),(7,6)],8)
[6,8,1,7,3,4,2,5]=>([(0,4),(0,7),(1,3),(1,5),(1,7),(2,6),(3,6),(5,2)],8)
[4,6,5,3,8,2,7,1]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,6,3,8,1,7,2]=>([(0,6),(0,7),(1,4),(2,3),(2,7),(4,5),(5,6),(5,7)],8)
[7,8,3,5,2,1,6,4]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(3,5),(3,6),(5,7)],8)
[6,3,7,5,2,4,1,8]=>([(0,7),(1,6),(2,5),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[6,2,4,5,7,3,1,8]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,7),(5,6),(6,7)],8)
[7,8,1,5,6,4,3,2]=>([(0,6),(1,3),(1,4),(1,5),(1,7),(7,2)],8)
[6,3,7,5,1,4,2,8]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,3,8,2,4,6,7,5]=>([(0,4),(0,6),(4,7),(5,2),(6,1),(6,7),(7,3),(7,5)],8)
[6,1,7,3,4,2,5,8]=>([(0,7),(1,3),(1,4),(1,7),(2,5),(3,5),(4,2),(5,6),(7,6)],8)
[3,1,7,2,5,8,6,4]=>([(0,3),(0,7),(1,5),(1,6),(1,7),(3,5),(3,6),(6,2),(6,4),(7,4)],8)
[2,8,7,6,3,5,1,4]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(6,2),(6,7)],8)
[2,8,7,1,5,6,4,3]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8)
[3,5,6,2,8,1,7,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(3,4),(4,5),(4,7)],8)
[4,1,5,7,3,8,2,6]=>([(0,6),(1,2),(1,4),(1,6),(2,7),(3,5),(4,5),(4,7),(6,3),(6,7)],8)
[7,1,6,8,2,5,3,4]=>([(0,7),(1,4),(1,6),(4,7),(5,3),(6,2),(6,5)],8)
[1,6,5,7,4,2,3,8]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(6,7)],8)
[7,2,8,4,5,6,3,1]=>([(1,7),(2,4),(2,6),(2,7),(5,3),(6,5)],8)
[6,8,7,3,2,4,5,1]=>([(1,7),(2,7),(3,4),(3,5),(7,6)],8)
[3,8,6,1,4,5,7,2]=>([(0,5),(0,7),(1,2),(1,4),(1,7),(3,6),(4,6),(7,3)],8)
[7,5,8,6,4,1,3,2]=>([(1,7),(2,6),(2,7),(3,4),(3,5)],8)
[2,7,6,3,8,5,1,4]=>([(0,6),(1,3),(1,4),(1,5),(3,7),(4,7),(5,2),(5,6),(5,7)],8)
[2,3,1,8,4,6,5,7]=>([(0,6),(0,7),(1,2),(2,6),(2,7),(3,5),(4,5),(7,3),(7,4)],8)
[2,3,1,7,6,8,4,5]=>([(0,3),(1,5),(1,6),(1,7),(3,5),(3,6),(3,7),(5,2),(6,4),(7,4)],8)
[2,3,1,8,4,6,7,5]=>([(0,6),(0,7),(1,4),(4,6),(4,7),(5,3),(7,2),(7,5)],8)
[4,2,3,5,1,8,6,7]=>([(0,7),(1,5),(1,6),(2,4),(4,7),(6,3),(7,5),(7,6)],8)
[5,8,7,2,6,4,1,3]=>([(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7)],8)
[6,8,5,1,7,4,3,2]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7)],8)
[6,8,5,2,7,4,1,3]=>([(0,7),(1,6),(2,5),(2,7),(3,4),(3,6),(3,7)],8)
[7,3,8,6,5,2,1,4]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7)],8)
[7,5,8,1,6,4,3,2]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7)],8)
[7,5,8,2,6,4,1,3]=>([(0,6),(1,5),(2,5),(2,7),(3,4),(3,6),(3,7)],8)
[6,3,2,8,1,7,5,4]=>([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[2,6,8,7,1,3,5,4]=>([(0,7),(1,6),(1,7),(6,2),(6,3),(7,4),(7,5)],8)
[5,3,8,7,6,2,1,4]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7)],8)
[3,7,6,1,4,5,2,8]=>([(0,5),(0,6),(1,2),(1,3),(1,6),(2,7),(3,7),(4,7),(5,7),(6,4)],8)
[4,1,6,2,7,5,3,8]=>([(0,3),(0,6),(1,5),(1,6),(2,7),(3,2),(3,4),(3,5),(4,7),(5,7),(6,4)],8)
[7,6,2,5,3,1,4,8]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(4,7),(5,6),(6,7)],8)
[4,3,1,7,6,2,5,8]=>([(0,3),(0,5),(0,6),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,7),(5,4),(6,4),(7,4)],8)
[4,5,3,1,2,8,6,7]=>([(0,6),(0,7),(1,5),(2,4),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[2,4,5,3,1,8,6,7]=>([(0,6),(0,7),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3),(7,2)],8)
[5,7,6,2,3,1,4,8]=>([(0,6),(1,5),(2,3),(2,4),(3,7),(4,7),(5,6),(6,7)],8)
[4,1,3,7,5,2,6,8]=>([(0,2),(0,3),(1,5),(1,6),(2,7),(3,5),(3,6),(5,7),(6,4),(7,4)],8)
[4,1,6,3,2,7,5,8]=>([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,7),(6,5),(7,5)],8)
[7,5,4,1,3,2,6,8]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[2,4,8,5,6,3,1,7]=>([(0,7),(1,4),(1,6),(3,7),(4,7),(5,3),(6,2),(6,5)],8)
[2,5,7,4,1,3,6,8]=>([(0,6),(1,2),(1,4),(1,6),(2,7),(3,5),(4,3),(4,7),(6,7),(7,5)],8)
[5,7,4,1,3,2,6,8]=>([(0,7),(1,5),(1,7),(2,3),(2,4),(3,7),(4,7),(5,6),(7,6)],8)
[2,6,8,4,5,3,1,7]=>([(0,7),(1,4),(1,5),(1,6),(3,7),(4,7),(5,3),(6,2),(6,7)],8)
[5,2,3,7,4,1,6,8]=>([(0,7),(1,6),(1,7),(2,3),(3,4),(3,6),(4,7),(6,5),(7,5)],8)
[4,5,1,6,3,2,7,8]=>([(0,5),(1,2),(1,3),(1,6),(2,7),(3,7),(5,6),(6,7),(7,4)],8)
[5,1,6,3,2,4,7,8]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(5,7),(6,7),(7,2)],8)
[4,2,5,1,6,3,7,8]=>([(0,6),(1,5),(1,7),(2,6),(2,7),(4,3),(5,4),(6,5),(7,4)],8)
[5,1,6,2,4,3,7,8]=>([(0,6),(1,5),(1,6),(2,7),(3,7),(5,2),(5,3),(6,7),(7,4)],8)
[5,3,4,8,7,6,2,1]=>([(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[8,3,1,6,7,5,4,2]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[8,4,6,5,7,2,3,1]=>([(2,4),(3,5),(3,6),(5,7),(6,7)],8)
[1,8,2,6,7,4,5,3]=>([(0,4),(0,7),(5,3),(6,2),(7,1),(7,5),(7,6)],8)
[8,5,7,2,4,3,6,1]=>([(2,4),(2,7),(3,5),(3,6),(5,7),(6,7)],8)
[8,5,3,6,4,7,2,1]=>([(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,2,5,3,6,7,4,1]=>([(2,4),(2,6),(4,7),(6,3),(6,7),(7,5)],8)
[1,2,8,3,4,7,6,5]=>([(0,6),(5,7),(6,4),(6,5),(7,1),(7,2),(7,3)],8)
[6,8,5,2,7,1,3,4]=>([(0,7),(1,6),(2,6),(2,7),(3,4),(3,7),(6,5)],8)
[7,6,4,5,2,1,8,3]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,7)],8)
[8,2,4,7,6,3,1,5]=>([(1,7),(2,5),(2,6),(5,7),(6,3),(6,4),(6,7)],8)
[8,7,5,1,4,6,3,2]=>([(2,7),(3,4),(3,5),(3,6),(6,7)],8)
[7,3,8,5,4,2,1,6]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[6,3,4,7,2,8,5,1]=>([(1,7),(2,5),(2,6),(3,4),(4,6),(4,7),(7,5)],8)
[8,1,7,3,6,4,2,5]=>([(1,3),(1,5),(1,6),(4,7),(5,7),(6,2),(6,4)],8)
[7,1,8,5,3,4,2,6]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,2)],8)
[6,8,4,3,1,5,2,7]=>([(0,6),(1,6),(2,4),(2,7),(3,5),(3,6),(5,7),(6,7)],8)
[1,4,5,8,3,2,6,7]=>([(0,3),(0,4),(0,6),(3,7),(4,7),(5,1),(5,7),(6,5),(7,2)],8)
[1,5,2,4,7,8,6,3]=>([(0,4),(0,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3),(7,1)],8)
[5,2,7,4,3,8,6,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[2,7,3,4,8,5,6,1]=>([(1,3),(1,5),(3,7),(4,2),(5,6),(6,4),(6,7)],8)
[2,7,6,8,3,5,4,1]=>([(1,4),(1,5),(1,6),(4,7),(5,7),(6,2),(6,3)],8)
[2,7,4,5,3,8,6,1]=>([(1,2),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,3)],8)
[6,2,3,7,4,5,8,1]=>([(1,3),(2,6),(3,5),(3,6),(4,7),(5,4),(6,7)],8)
[1,6,3,2,7,5,8,4]=>([(0,1),(0,2),(0,3),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(5,6),(7,6)],8)
[7,3,5,2,6,8,1,4]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,7),(4,6),(6,5)],8)
[6,4,2,7,1,5,8,3]=>([(0,6),(1,6),(1,7),(2,4),(2,7),(3,4),(3,6),(3,7),(6,5),(7,5)],8)
[2,5,3,6,4,7,8,1]=>([(1,4),(1,5),(3,7),(4,6),(5,3),(5,6),(6,7),(7,2)],8)
[4,2,5,3,6,7,8,1]=>([(1,6),(2,3),(2,6),(3,7),(4,5),(6,7),(7,4)],8)
[1,6,5,2,4,7,3,8]=>([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,7),(5,1),(5,2),(7,6)],8)
[1,8,7,2,4,6,3,5]=>([(0,3),(0,4),(0,6),(2,7),(5,1),(5,7),(6,2),(6,5)],8)
[1,8,7,2,5,4,3,6]=>([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(6,1),(6,2),(6,3)],8)
[1,5,4,2,7,3,6,8]=>([(0,2),(0,3),(0,4),(1,6),(2,6),(2,7),(3,6),(3,7),(4,1),(4,7),(6,5),(7,5)],8)
[1,5,4,2,8,7,3,6]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,6),(4,7)],8)
[1,6,8,3,5,2,4,7]=>([(0,3),(0,4),(0,5),(2,7),(3,6),(4,1),(4,7),(5,2),(5,6),(6,7)],8)
[1,7,6,2,3,5,8,4]=>([(0,3),(0,4),(0,5),(2,7),(3,7),(4,7),(5,6),(6,1),(6,2)],8)
[1,2,8,3,6,5,4,7]=>([(0,5),(2,7),(3,7),(4,7),(5,1),(5,6),(6,2),(6,3),(6,4)],8)
[1,3,8,6,5,2,4,7]=>([(0,4),(0,5),(2,7),(3,7),(4,6),(5,1),(5,2),(5,3),(5,6),(6,7)],8)
[1,4,7,3,2,8,6,5]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,6),(4,7)],8)
[1,8,6,5,2,4,7,3]=>([(0,3),(0,4),(0,5),(0,6),(2,7),(4,7),(5,7),(6,1),(6,2)],8)
[1,6,8,4,3,2,5,7]=>([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,7),(5,1),(5,6),(7,6)],8)
[1,7,5,3,2,6,4,8]=>([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,2,6,5,3,8,4,7]=>([(0,5),(1,6),(2,6),(2,7),(3,6),(3,7),(4,1),(4,7),(5,2),(5,3),(5,4)],8)
[1,7,3,2,8,4,6,5]=>([(0,3),(0,4),(0,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,1),(6,2)],8)
[1,6,5,2,8,4,7,3]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,7)],8)
[1,8,3,7,2,4,6,5]=>([(0,4),(0,5),(0,6),(5,7),(6,1),(6,7),(7,2),(7,3)],8)
[5,4,2,8,7,6,1,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(3,4),(3,5),(3,6),(3,7)],8)
[8,6,3,2,5,7,4,1]=>([(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
[7,3,2,1,6,5,8,4]=>([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[7,3,2,6,1,5,8,4]=>([(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(6,7)],8)
[6,8,5,2,7,1,4,3]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,7)],8)
[6,8,2,5,1,7,4,3]=>([(0,5),(0,6),(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(4,7)],8)
[6,8,5,7,2,1,4,3]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7)],8)
[6,5,8,2,7,4,1,3]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7)],8)
[6,2,1,7,5,8,4,3]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3),(7,3)],8)
[1,6,4,8,5,3,7,2]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(3,7),(4,6),(4,7),(5,1),(5,6)],8)
[4,2,6,7,8,1,3,5]=>([(0,6),(0,7),(1,5),(2,5),(2,7),(3,4),(5,6),(7,3)],8)
[4,6,5,1,3,7,8,2]=>([(0,4),(0,5),(1,3),(1,6),(4,7),(5,7),(6,7),(7,2)],8)
[5,1,7,2,6,4,8,3]=>([(0,5),(0,6),(1,4),(1,6),(3,7),(4,2),(4,3),(4,5),(5,7),(6,7)],8)
[4,1,7,6,5,8,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,2),(4,7),(5,7),(6,7)],8)
[4,2,3,6,7,8,1,5]=>([(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(4,5),(6,4)],8)
[4,7,2,1,6,5,8,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(5,7),(6,7)],8)
[2,4,3,6,7,8,1,5]=>([(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(5,2),(6,5)],8)
[6,8,5,2,7,3,1,4]=>([(0,7),(1,6),(2,4),(2,7),(3,5),(3,7),(5,6)],8)
[6,5,1,3,7,8,2,4]=>([(0,7),(1,7),(2,4),(2,5),(4,6),(5,6),(5,7),(7,3)],8)
[7,2,1,4,3,5,8,6]=>([(0,4),(1,6),(1,7),(2,6),(2,7),(5,3),(5,4),(6,5),(7,5)],8)
[6,1,2,4,3,7,8,5]=>([(0,7),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3),(5,4),(7,2)],8)
[8,1,5,4,2,3,6,7]=>([(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(6,2),(7,5)],8)
[7,1,2,4,6,3,8,5]=>([(0,7),(1,5),(2,7),(3,6),(3,7),(4,2),(4,6),(5,3),(5,4)],8)
[7,1,2,6,5,3,8,4]=>([(0,7),(1,6),(3,7),(4,7),(5,2),(5,7),(6,3),(6,4),(6,5)],8)
[7,5,6,1,2,4,8,3]=>([(0,7),(1,5),(2,6),(4,7),(5,7),(6,3),(6,4)],8)
[7,1,4,5,2,3,6,8]=>([(0,7),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2),(6,7)],8)
[6,1,4,8,7,2,3,5]=>([(0,6),(0,7),(1,3),(1,4),(2,5),(3,5),(3,6),(3,7),(4,2)],8)
[6,1,8,5,7,2,3,4]=>([(0,6),(0,7),(1,3),(1,5),(1,7),(3,6),(4,2),(5,4)],8)
[1,6,7,5,8,3,4,2]=>([(0,3),(0,4),(0,5),(0,6),(2,7),(4,7),(5,1),(6,2)],8)
[6,1,7,5,8,2,3,4]=>([(0,7),(1,3),(1,5),(1,7),(3,6),(4,2),(5,4),(7,6)],8)
[6,1,4,7,8,2,3,5]=>([(0,7),(1,4),(1,5),(3,6),(4,6),(4,7),(5,3),(7,2)],8)
[8,1,2,3,7,5,4,6]=>([(1,5),(3,7),(4,7),(5,6),(6,2),(6,3),(6,4)],8)
[5,8,6,1,2,4,7,3]=>([(0,6),(1,3),(1,5),(4,7),(5,7),(6,2),(6,4)],8)
[1,6,8,7,5,3,4,2]=>([(0,4),(0,5),(0,6),(0,7),(6,3),(7,1),(7,2)],8)
[6,1,8,7,5,2,3,4]=>([(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(4,2),(5,4)],8)
[8,3,1,2,4,6,5,7]=>([(1,6),(2,3),(3,6),(4,7),(5,7),(6,4),(6,5)],8)
[8,3,1,2,4,5,7,6]=>([(1,7),(2,5),(5,7),(6,3),(6,4),(7,6)],8)
[6,3,1,2,4,7,5,8]=>([(0,7),(1,5),(2,3),(3,7),(4,6),(5,6),(7,4),(7,5)],8)
[6,7,1,4,2,3,5,8]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(4,7),(5,2),(6,7)],8)
[6,1,7,4,8,2,3,5]=>([(0,7),(1,3),(1,4),(1,7),(2,5),(3,5),(3,6),(4,2),(7,6)],8)
[6,7,8,5,1,2,4,3]=>([(1,7),(2,6),(6,5),(7,3),(7,4)],8)
[4,3,8,5,6,2,7,1]=>([(1,7),(2,5),(2,6),(3,5),(3,6),(4,7),(6,4)],8)
[4,3,8,6,7,2,5,1]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4)],8)
[7,6,8,1,5,3,4,2]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(6,3)],8)
[7,4,6,1,5,3,8,2]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(4,7),(5,7),(6,7)],8)
[6,3,8,1,7,2,5,4]=>([(0,4),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,7),(3,5),(3,6)],8)
[6,1,5,4,8,2,7,3]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,7)],8)
[6,2,5,4,7,1,8,3]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(7,6)],8)
[8,3,6,7,5,1,2,4]=>([(1,5),(2,4),(2,6),(2,7),(5,7),(6,3)],8)
[8,2,1,6,5,7,4,3]=>([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3),(7,3)],8)
[2,7,1,8,5,6,4,3]=>([(0,3),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(3,4),(7,2)],8)
[4,6,8,2,3,5,1,7]=>([(0,7),(1,4),(2,3),(2,6),(3,5),(3,7),(4,6),(6,7)],8)
[6,8,2,1,3,5,4,7]=>([(0,6),(1,6),(2,3),(2,7),(4,7),(5,7),(6,4),(6,5)],8)
[3,5,1,6,4,8,2,7]=>([(0,3),(0,6),(1,2),(1,5),(1,6),(2,7),(3,5),(5,4),(5,7),(6,4),(6,7)],8)
[3,5,8,6,2,1,4,7]=>([(0,7),(1,7),(2,3),(2,7),(3,4),(3,5),(5,6),(7,6)],8)
[2,4,8,5,6,1,3,7]=>([(0,7),(1,5),(1,7),(3,6),(4,3),(5,2),(5,4),(7,6)],8)
[4,8,2,5,6,1,3,7]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(4,7),(5,7),(6,4)],8)
[5,3,8,4,2,7,6,1]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7)],8)
[2,8,5,3,1,4,7,6]=>([(0,7),(1,2),(1,3),(1,4),(3,7),(4,5),(4,6),(7,5),(7,6)],8)
[1,7,8,4,6,3,2,5]=>([(0,3),(0,4),(0,5),(0,6),(3,7),(4,7),(5,2),(6,1),(6,7)],8)
[8,7,2,4,6,3,1,5]=>([(2,7),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[8,7,3,2,1,6,4,5]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[7,8,3,4,6,5,2,1]=>([(2,4),(3,5),(5,6),(5,7)],8)
[8,7,3,6,5,2,4,1]=>([(3,7),(4,5),(4,6),(4,7)],8)
[3,1,2,8,6,5,7,4]=>([(0,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3),(7,3)],8)
[3,8,2,7,5,4,6,1]=>([(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(6,4),(7,4)],8)
[8,7,1,4,5,3,6,2]=>([(2,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)
[2,8,7,4,6,3,5,1]=>([(1,3),(1,4),(1,5),(1,6),(5,7),(6,2),(6,7)],8)
[2,8,7,4,6,3,1,5]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(5,7),(6,2),(6,7)],8)
[8,3,4,1,2,5,7,6]=>([(1,6),(2,5),(5,7),(6,7),(7,3),(7,4)],8)
[8,4,1,3,2,5,7,6]=>([(1,7),(2,3),(2,4),(3,7),(4,7),(7,5),(7,6)],8)
[7,3,8,6,2,1,4,5]=>([(0,7),(1,7),(2,6),(3,4),(3,6),(3,7),(7,5)],8)
[7,2,8,4,6,5,1,3]=>([(0,7),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5)],8)
[5,8,6,4,7,2,3,1]=>([(1,7),(2,5),(3,4),(3,6),(6,7)],8)
[4,7,2,6,5,8,3,1]=>([(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[3,6,8,5,7,4,2,1]=>([(2,4),(2,5),(2,6),(5,7),(6,3),(6,7)],8)
[6,7,5,2,4,8,3,1]=>([(1,7),(2,6),(3,4),(3,5),(5,7),(6,7)],8)
[8,1,2,7,5,6,3,4]=>([(1,7),(5,4),(6,3),(7,2),(7,5),(7,6)],8)
[8,2,7,3,4,6,1,5]=>([(1,7),(2,4),(2,5),(5,6),(6,3),(6,7)],8)
[6,7,5,4,8,1,3,2]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(6,7)],8)
[8,3,5,6,4,7,2,1]=>([(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,6,2,4,3,7,1]=>([(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[6,5,8,1,3,4,2,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(4,7),(5,7)],8)
[6,8,4,5,1,3,2,7]=>([(0,6),(1,5),(1,7),(2,3),(2,4),(3,7),(4,7),(6,7)],8)
[6,4,8,7,5,3,2,1]=>([(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,7,1,4,3,2,8,5]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[7,2,5,1,4,8,3,6]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,7),(5,6),(5,7)],8)
[5,8,1,3,4,2,7,6]=>([(0,4),(0,6),(0,7),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(5,2)],8)
[1,5,6,3,2,8,7,4]=>([(0,2),(0,3),(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1)],8)
[1,3,7,6,8,4,2,5]=>([(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(5,3)],8)
[1,6,7,3,2,8,5,4]=>([(0,2),(0,3),(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1)],8)
[3,2,7,6,8,4,5,1]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(5,3),(6,4),(7,4)],8)
[1,3,8,5,2,7,6,4]=>([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,1),(4,2),(4,7)],8)
[6,4,1,5,2,8,7,3]=>([(0,6),(0,7),(1,5),(2,3),(2,5),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
[7,6,5,3,1,8,2,4]=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
[2,5,1,4,7,3,6,8]=>([(0,4),(0,6),(1,2),(1,4),(1,6),(2,5),(2,7),(4,7),(5,3),(6,5),(6,7),(7,3)],8)
[3,1,6,5,7,2,4,8]=>([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(4,3),(5,3),(6,4),(7,4)],8)
[2,6,1,5,7,4,8,3]=>([(0,4),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(5,3),(6,5),(7,3)],8)
[2,5,7,1,6,3,8,4]=>([(0,5),(0,6),(1,4),(1,6),(3,7),(4,3),(4,5),(5,7),(6,2),(6,7)],8)
[2,6,1,5,7,4,3,8]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(3,7),(4,7),(5,7),(6,3)],8)
[3,1,6,5,2,4,7,8]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(4,7),(5,7),(6,7),(7,2)],8)
[3,6,5,1,4,2,7,8]=>([(0,5),(0,6),(1,2),(1,3),(1,6),(2,7),(3,7),(5,7),(6,7),(7,4)],8)
[3,6,5,1,7,2,4,8]=>([(0,4),(0,7),(1,2),(1,3),(1,5),(2,7),(3,7),(4,5),(5,6),(7,6)],8)
[3,6,5,2,1,4,7,8]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(6,7),(7,5)],8)
[5,4,3,6,1,7,2,8]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(4,6),(5,6),(7,5)],8)
[4,5,2,7,6,1,3,8]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,6,5,3,1,2,7,8]=>([(0,7),(1,5),(2,3),(2,4),(3,7),(4,7),(5,7),(7,6)],8)
[5,4,1,6,3,7,2,8]=>([(0,7),(1,7),(2,3),(2,4),(2,7),(3,6),(4,5),(5,6),(7,5)],8)
[5,4,2,6,3,7,8,1]=>([(1,7),(2,7),(3,4),(3,7),(4,6),(6,5),(7,6)],8)
[3,6,5,7,1,4,2,8]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[3,6,5,1,4,7,2,8]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,7),(3,7),(4,5),(6,7),(7,5)],8)
[4,3,6,5,7,1,2,8]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,4),(5,4),(6,5),(7,5)],8)
[4,2,6,5,1,3,7,8]=>([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7),(7,3)],8)
[4,1,6,5,3,7,8,2]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(3,7),(5,7),(6,7),(7,4)],8)
[4,2,5,7,6,1,3,8]=>([(0,6),(1,5),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[3,4,7,6,1,2,5,8]=>([(0,4),(1,5),(2,7),(3,7),(4,6),(5,2),(5,3),(5,6),(6,7)],8)
[4,2,5,7,6,3,8,1]=>([(1,6),(2,3),(2,6),(3,7),(4,7),(5,7),(6,4),(6,5)],8)
[4,1,6,5,2,7,3,8]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,7),(3,4),(5,7),(6,7),(7,4)],8)
[3,6,5,7,2,1,4,8]=>([(0,7),(1,7),(2,3),(2,4),(2,7),(3,6),(4,6),(6,5),(7,5)],8)
[3,5,7,6,2,4,1,8]=>([(0,7),(1,6),(2,3),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[5,4,2,6,3,7,1,8]=>([(0,7),(1,7),(2,5),(3,4),(3,7),(4,6),(6,5),(7,6)],8)
[4,6,5,2,7,3,1,8]=>([(0,6),(1,5),(1,7),(2,3),(2,4),(3,7),(4,7),(5,6),(7,6)],8)
[4,6,5,2,1,7,3,8]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(3,7),(4,7),(5,6),(7,6)],8)
[3,5,8,2,1,4,6,7]=>([(0,7),(1,7),(2,3),(2,7),(3,5),(3,6),(6,4),(7,6)],8)
[3,5,8,2,4,6,7,1]=>([(1,6),(2,4),(2,6),(4,5),(4,7),(6,7),(7,3)],8)
[5,3,8,2,1,4,6,7]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,7),(6,4),(7,6)],8)
[5,3,1,8,2,4,6,7]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,7),(3,6),(5,4),(6,5)],8)
[5,1,3,8,2,4,6,7]=>([(0,6),(0,7),(1,3),(1,4),(3,5),(4,5),(4,6),(5,7),(7,2)],8)
[1,5,8,4,2,3,6,7]=>([(0,4),(0,5),(0,6),(2,7),(4,7),(5,2),(6,1),(6,7),(7,3)],8)
[5,8,2,1,4,3,6,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,7),(5,7),(6,7),(7,4)],8)
[5,8,2,4,1,6,7,3]=>([(0,6),(0,7),(1,3),(1,7),(2,4),(2,6),(4,7),(7,5)],8)
[5,8,2,4,6,3,1,7]=>([(0,7),(1,3),(1,6),(2,4),(2,5),(4,7),(5,6),(6,7)],8)
[5,8,2,4,3,6,1,7]=>([(0,6),(1,3),(1,7),(2,4),(2,5),(4,7),(5,7),(7,6)],8)
[5,8,1,4,6,2,3,7]=>([(0,4),(0,7),(1,2),(1,5),(2,7),(3,6),(5,3),(7,6)],8)
[1,5,8,4,6,7,2,3]=>([(0,4),(0,5),(0,6),(4,7),(5,2),(6,1),(6,7),(7,3)],8)
[5,1,8,4,6,7,2,3]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(4,7),(5,3),(7,2)],8)
[5,8,2,4,6,3,7,1]=>([(1,4),(1,6),(2,3),(2,5),(3,7),(5,6),(6,7)],8)
[3,8,4,6,7,2,1,5]=>([(0,7),(1,7),(2,4),(2,6),(5,3),(6,5),(6,7)],8)
[3,8,4,6,7,2,5,1]=>([(1,7),(2,4),(2,6),(5,3),(6,5),(6,7)],8)
[8,4,3,6,7,2,5,1]=>([(2,7),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[8,4,3,6,7,2,1,5]=>([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[8,6,2,4,5,3,7,1]=>([(2,7),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,6,4,5,7,2,3]=>([(0,3),(0,4),(0,5),(0,6),(2,7),(4,7),(5,1),(6,2)],8)
[8,6,2,4,5,3,1,7]=>([(1,7),(2,7),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,6,4,2,3,5,7]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,7),(4,6),(5,1),(6,7)],8)
[3,8,1,6,2,4,5,7]=>([(0,4),(0,6),(1,3),(1,6),(1,7),(2,5),(4,7),(6,5),(7,2)],8)
[3,8,6,2,1,4,5,7]=>([(0,7),(1,7),(2,3),(2,4),(2,7),(4,6),(5,6),(7,5)],8)
[3,8,6,2,4,1,5,7]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(4,7),(5,6),(6,7)],8)
[3,8,6,2,4,5,7,1]=>([(1,6),(2,3),(2,4),(2,6),(4,7),(5,7),(6,5)],8)
[8,3,6,2,4,5,1,7]=>([(1,7),(2,6),(3,4),(3,6),(4,7),(5,7),(6,5)],8)
[8,1,3,6,2,4,5,7]=>([(1,2),(1,5),(2,7),(3,6),(4,6),(5,4),(5,7),(7,3)],8)
[8,3,6,7,2,1,4,5]=>([(1,7),(2,7),(3,4),(3,7),(4,6),(7,5)],8)
[3,8,6,7,2,1,4,5]=>([(0,7),(1,7),(2,4),(2,6),(2,7),(6,3),(7,5)],8)
[8,2,6,4,5,1,7,3]=>([(1,6),(1,7),(2,3),(2,4),(2,6),(3,5),(4,7),(5,7)],8)
[1,8,4,6,7,5,2,3]=>([(0,4),(0,6),(0,7),(5,3),(6,1),(7,2),(7,5)],8)
[8,4,6,2,3,7,5,1]=>([(2,5),(3,4),(3,6),(4,7),(5,6),(5,7)],8)
[8,4,7,2,1,3,6,5]=>([(1,5),(2,5),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
[2,7,1,6,3,5,8,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,2),(6,3)],8)
[8,4,2,1,5,3,7,6]=>([(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(4,6),(7,5),(7,6)],8)
[8,2,1,4,7,3,6,5]=>([(1,6),(1,7),(2,6),(2,7),(6,4),(6,5),(7,3),(7,4),(7,5)],8)
[1,6,2,5,8,4,7,3]=>([(0,4),(0,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,3)],8)
[2,1,5,8,7,3,6,4]=>([(0,6),(0,7),(1,6),(1,7),(6,4),(6,5),(7,2),(7,3),(7,5)],8)
[3,2,1,6,7,4,8,5]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(4,5),(6,4),(7,3),(7,5)],8)
[4,3,1,7,8,5,2,6]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(4,5),(6,5),(7,3)],8)
[5,6,8,2,4,3,7,1]=>([(1,6),(2,4),(2,5),(4,7),(5,7),(6,3),(6,7)],8)
[2,8,5,3,6,4,7,1]=>([(1,3),(1,4),(1,5),(2,7),(4,6),(5,2),(5,6),(6,7)],8)
[1,2,8,6,4,7,3,5]=>([(0,5),(2,7),(3,6),(4,6),(4,7),(5,1),(5,2),(5,3),(5,4)],8)
[5,3,2,7,8,6,4,1]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[4,2,7,8,3,5,6,1]=>([(1,6),(1,7),(2,3),(2,6),(3,7),(6,5),(7,4)],8)
[2,8,3,7,1,4,6,5]=>([(0,7),(1,3),(1,6),(6,2),(6,7),(7,4),(7,5)],8)
[2,8,7,1,5,3,6,4]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(6,5),(7,2),(7,5)],8)
[7,3,5,6,4,2,8,1]=>([(1,7),(2,7),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,8,4,2,7,6,5,1]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(4,5),(4,6),(4,7)],8)
[4,8,3,2,7,5,6,1]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[3,2,4,8,7,5,6,1]=>([(1,7),(2,7),(6,3),(7,4),(7,5),(7,6)],8)
[2,6,8,1,5,3,4,7]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(3,7),(4,2),(4,7),(5,7),(6,3)],8)
[3,2,5,6,8,1,4,7]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(5,3),(7,6)],8)
[3,8,1,6,4,5,2,7]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(4,7),(5,7),(6,2)],8)
[8,1,3,6,5,4,2,7]=>([(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2),(6,3),(6,4)],8)
[7,4,3,6,2,1,8,5]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7)],8)
[1,2,4,8,6,3,7,5]=>([(0,5),(2,6),(3,6),(3,7),(4,1),(4,2),(4,7),(5,3),(5,4)],8)
[7,2,1,5,3,4,8,6]=>([(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,3)],8)
[5,7,2,3,1,4,8,6]=>([(0,6),(1,4),(2,3),(2,5),(3,7),(4,6),(6,5),(6,7)],8)
[7,1,5,2,4,6,8,3]=>([(0,7),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3),(6,7)],8)
[8,4,2,7,3,5,6,1]=>([(2,6),(2,7),(3,4),(3,6),(4,7),(7,5)],8)
[1,8,6,4,7,5,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,7)],8)
[7,4,1,5,8,6,3,2]=>([(0,7),(1,6),(2,4),(2,5),(2,7),(7,3),(7,6)],8)
[4,5,8,7,3,1,2,6]=>([(0,7),(1,5),(2,6),(5,7),(6,3),(6,4),(6,7)],8)
[1,3,8,7,6,4,2,5]=>([(0,5),(0,6),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4)],8)
[2,8,5,1,7,4,6,3]=>([(0,2),(0,3),(0,6),(0,7),(1,5),(1,6),(1,7),(3,4),(3,5),(7,4)],8)
[1,8,6,4,7,5,2,3]=>([(0,3),(0,4),(0,5),(0,6),(4,7),(5,2),(6,1),(6,7)],8)
[2,7,4,6,3,8,5,1]=>([(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(4,7),(5,2),(5,6)],8)
[1,2,8,6,4,7,5,3]=>([(0,6),(4,7),(5,3),(5,7),(6,1),(6,2),(6,4),(6,5)],8)
[4,1,8,6,3,7,5,2]=>([(0,2),(0,3),(0,6),(0,7),(1,5),(1,6),(1,7),(3,4),(3,5),(7,4)],8)
[8,4,3,1,6,2,5,7]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,7),(6,5),(7,5)],8)
[7,5,4,3,8,1,6,2]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7)],8)
[5,3,1,6,2,8,7,4]=>([(0,7),(1,4),(1,7),(2,3),(2,7),(3,4),(3,5),(3,6),(7,5),(7,6)],8)
[3,5,4,1,7,8,2,6]=>([(0,5),(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(5,6),(7,2)],8)
[6,4,2,1,5,7,3,8]=>([(0,7),(1,5),(2,4),(2,7),(3,4),(3,7),(4,6),(5,6),(7,5)],8)
[3,1,5,8,7,2,4,6]=>([(0,6),(0,7),(1,4),(1,7),(4,6),(6,5),(7,2),(7,3),(7,5)],8)
[3,2,5,7,8,4,6,1]=>([(1,5),(1,7),(2,5),(2,7),(3,4),(5,6),(7,3),(7,6)],8)
[5,3,7,4,2,6,8,1]=>([(1,7),(2,5),(2,7),(3,4),(3,5),(4,7),(5,6),(7,6)],8)
[5,3,7,4,2,6,1,8]=>([(0,7),(1,6),(2,5),(2,7),(3,4),(3,5),(4,7),(5,6),(7,6)],8)
[5,3,8,4,2,1,6,7]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,6),(4,7),(7,5)],8)
[5,2,8,4,3,1,6,7]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(3,7),(4,7),(7,5)],8)
[5,1,8,4,3,2,6,7]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(7,5)],8)
[5,2,7,4,3,6,1,8]=>([(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[5,2,7,4,3,6,8,1]=>([(1,5),(1,7),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[5,3,7,4,1,6,8,2]=>([(0,5),(0,7),(1,3),(1,7),(2,4),(2,5),(4,7),(5,6),(7,6)],8)
[3,1,5,7,8,4,6,2]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(4,2),(6,5),(7,4),(7,5)],8)
[3,1,5,7,8,4,2,6]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,7),(4,2),(5,7),(6,4),(6,7)],8)
[5,2,7,4,1,3,8,6]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(3,6),(3,7),(4,7),(5,6),(5,7)],8)
[6,2,3,7,4,8,5,1]=>([(1,3),(2,6),(3,5),(3,6),(5,4),(5,7),(6,7)],8)
[6,2,3,7,4,8,1,5]=>([(0,7),(1,5),(2,3),(3,4),(3,7),(4,5),(4,6),(7,6)],8)
[6,2,3,7,4,5,1,8]=>([(0,3),(1,7),(2,6),(3,5),(3,6),(4,7),(5,4),(6,7)],8)
[6,1,3,7,4,5,8,2]=>([(0,7),(1,2),(1,5),(3,6),(4,3),(5,4),(5,7),(7,6)],8)
[1,2,8,6,4,3,5,7]=>([(0,5),(2,7),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4),(6,7)],8)
[6,1,3,7,4,5,2,8]=>([(0,6),(1,3),(1,5),(2,7),(3,7),(4,2),(5,4),(5,6),(6,7)],8)
[1,8,6,3,5,4,2,7]=>([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(4,7),(5,7),(6,1),(6,2)],8)
[2,6,1,8,5,3,4,7]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(3,4),(3,7),(5,7),(6,2)],8)
[4,5,7,8,1,6,3,2]=>([(0,6),(1,3),(1,4),(1,7),(5,2),(6,5),(6,7)],8)
[2,5,7,8,4,6,3,1]=>([(1,3),(1,4),(1,6),(4,7),(5,2),(6,5),(6,7)],8)
[1,8,2,7,5,3,4,6]=>([(0,4),(0,6),(2,7),(3,7),(5,3),(6,1),(6,2),(6,5)],8)
[2,5,4,1,8,6,7,3]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(7,2)],8)
[5,6,8,3,4,2,7,1]=>([(1,7),(2,4),(3,5),(4,7),(5,6),(5,7)],8)
[4,1,5,3,8,6,7,2]=>([(0,6),(1,3),(1,4),(1,6),(4,5),(4,7),(6,5),(6,7),(7,2)],8)
[7,3,5,1,4,8,6,2]=>([(0,7),(1,3),(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,3,2,4,5,6,8]=>([(0,7),(1,3),(1,4),(2,7),(3,6),(4,6),(5,2),(6,5)],8)
[3,8,7,1,4,2,5,6]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(5,7),(6,7),(7,2)],8)
[5,1,7,8,2,4,3,6]=>([(0,6),(0,7),(1,5),(1,6),(2,7),(3,7),(5,2),(5,3),(6,4)],8)
[8,5,4,6,1,7,3,2]=>([(1,6),(2,6),(3,4),(3,5),(3,7),(6,7)],8)
[5,3,2,1,4,6,8,7]=>([(0,7),(1,7),(2,7),(3,6),(6,4),(6,5),(7,6)],8)
[5,3,2,4,8,1,6,7]=>([(0,7),(1,6),(1,7),(2,5),(3,5),(5,6),(5,7),(7,4)],8)
[5,3,2,4,7,1,8,6]=>([(0,4),(1,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[8,4,5,3,7,1,2,6]=>([(1,6),(1,7),(2,4),(3,5),(4,7),(5,6),(5,7)],8)
[4,8,1,7,3,5,6,2]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(4,7),(7,2)],8)
[5,3,2,4,6,8,1,7]=>([(0,7),(1,5),(2,5),(3,6),(5,7),(7,4),(7,6)],8)
[4,6,8,3,7,1,5,2]=>([(0,6),(0,7),(1,3),(1,7),(2,4),(2,7),(4,5),(4,6)],8)
[1,7,6,4,2,5,3,8]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,6),(6,7)],8)
[7,6,4,2,8,3,1,5]=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
[8,5,2,4,3,7,1,6]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,1,4,3,7,6,2]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,4,1,3,6,8,2]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(5,7),(7,6)],8)
[3,6,7,2,5,1,8,4]=>([(0,6),(0,7),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,7),(5,7)],8)
[2,6,5,7,1,4,8,3]=>([(0,5),(0,7),(1,2),(1,3),(1,5),(1,7),(2,6),(3,6),(6,4),(7,4)],8)
[3,5,1,7,8,4,6,2]=>([(0,4),(0,6),(1,3),(1,6),(1,7),(4,5),(4,7),(6,5),(7,2)],8)
[1,5,2,4,6,8,7,3]=>([(0,5),(0,6),(2,7),(5,7),(6,1),(6,2),(7,3),(7,4)],8)
[8,1,2,4,7,6,5,3]=>([(1,6),(6,5),(6,7),(7,2),(7,3),(7,4)],8)
[3,4,1,8,6,7,5,2]=>([(0,4),(1,3),(1,5),(1,6),(1,7),(4,5),(4,6),(4,7),(7,2)],8)
[4,3,8,5,1,7,6,2]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(7,4),(7,5)],8)
[6,1,3,2,8,5,7,4]=>([(0,2),(0,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4)],8)
[8,5,3,2,4,7,1,6]=>([(1,7),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8)
[6,7,4,2,5,8,3,1]=>([(1,6),(2,5),(3,4),(3,6),(5,7),(6,7)],8)
[8,5,4,2,6,3,1,7]=>([(1,7),(2,6),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,5,2,1,6,4,3,7]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[8,4,6,5,1,3,2,7]=>([(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(5,7),(6,7)],8)
[1,3,8,4,7,5,2,6]=>([(0,4),(0,6),(3,7),(4,7),(5,2),(5,3),(6,1),(6,5)],8)
[5,3,7,1,4,6,8,2]=>([(0,3),(0,6),(1,5),(1,7),(2,6),(2,7),(5,4),(6,5),(7,4)],8)
[5,7,2,6,1,4,8,3]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6),(3,7),(5,7),(6,7)],8)
[3,8,5,7,6,1,2,4]=>([(0,5),(1,4),(1,6),(1,7),(5,7),(6,2),(6,3)],8)
[8,4,7,5,2,1,3,6]=>([(1,6),(2,6),(3,4),(3,5),(5,7),(6,7)],8)
[3,8,6,4,7,2,1,5]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(4,6),(5,6),(5,7)],8)
[5,2,7,4,6,8,3,1]=>([(1,5),(1,7),(2,3),(2,4),(2,5),(4,7),(5,6),(7,6)],8)
[4,8,6,3,7,2,1,5]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(5,6)],8)
[2,8,3,1,7,6,4,5]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(4,5),(4,6),(4,7),(7,2)],8)
[2,5,6,4,8,1,7,3]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(2,5),(2,7),(3,5),(3,7),(4,2)],8)
[5,7,2,1,6,8,3,4]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,7),(3,6),(5,4),(7,6)],8)
[4,7,8,5,1,6,2,3]=>([(0,6),(0,7),(1,4),(1,5),(4,7),(5,3),(6,2)],8)
[4,5,2,1,6,7,8,3]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,7),(4,5),(7,4)],8)
[4,5,6,3,1,7,8,2]=>([(0,7),(1,6),(2,5),(2,7),(3,7),(6,3),(7,4)],8)
[3,5,6,7,4,1,8,2]=>([(0,4),(0,7),(1,3),(1,6),(2,7),(3,7),(5,2),(6,5)],8)
[3,5,1,4,2,8,7,6]=>([(0,3),(0,4),(1,2),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,5,1,4,2,6,8,7]=>([(0,5),(0,6),(1,4),(1,6),(4,7),(5,7),(6,7),(7,2),(7,3)],8)
[3,5,1,4,2,6,7,8]=>([(0,4),(0,6),(1,3),(1,6),(3,7),(4,7),(5,2),(6,7),(7,5)],8)
[1,3,8,4,6,2,5,7]=>([(0,3),(0,5),(2,7),(3,6),(4,2),(4,6),(5,1),(5,4),(6,7)],8)
[1,8,4,2,3,7,5,6]=>([(0,3),(0,4),(0,5),(2,6),(2,7),(4,6),(4,7),(5,2),(7,1)],8)
[1,4,8,3,2,7,6,5]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,5),(4,6),(4,7)],8)
[1,3,7,6,5,2,4,8]=>([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,3),(5,6),(6,7)],8)
[1,2,8,6,7,5,4,3]=>([(0,7),(6,5),(7,1),(7,2),(7,3),(7,4),(7,6)],8)
[1,7,5,4,3,2,6,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)
[3,8,5,7,4,6,2,1]=>([(2,4),(2,5),(2,6),(5,7),(6,3),(6,7)],8)
[7,6,3,2,5,1,8,4]=>([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7)],8)
[4,2,5,7,8,6,3,1]=>([(1,7),(2,4),(2,7),(6,3),(7,5),(7,6)],8)
[6,7,2,4,5,1,8,3]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(3,5),(4,7),(5,7)],8)
[5,2,7,8,3,6,1,4]=>([(0,6),(1,5),(1,7),(2,4),(2,5),(4,6),(4,7),(5,3)],8)
[8,5,1,2,3,7,4,6]=>([(1,3),(2,6),(2,7),(3,5),(4,6),(5,4),(5,7)],8)
[5,2,8,3,1,4,7,6]=>([(0,7),(1,3),(1,6),(2,4),(2,5),(2,6),(3,7),(7,4),(7,5)],8)
[8,7,2,5,1,4,3,6]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[8,4,1,3,2,7,6,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,3,5,1,2,4,7,6]=>([(1,3),(2,4),(2,5),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,5,1,7,4,2,3]=>([(1,7),(2,7),(3,4),(3,5),(3,7),(5,6)],8)
[8,7,4,5,1,2,6,3]=>([(2,4),(3,5),(4,7),(5,6),(5,7)],8)
[3,8,6,2,7,1,5,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(4,5)],8)
[3,8,4,2,1,7,6,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(4,5),(4,6),(4,7)],8)
[8,3,1,7,5,6,2,4]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(4,7),(6,3)],8)
[8,4,1,7,5,2,6,3]=>([(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,7),(6,7)],8)
[8,4,2,7,5,3,1,6]=>([(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(6,7)],8)
[8,4,3,7,5,1,2,6]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,7),(6,7)],8)
[8,5,7,6,4,3,1,2]=>([(3,7),(4,5),(4,6)],8)
[8,4,7,6,5,2,1,3]=>([(1,7),(2,7),(3,4),(3,5),(3,6)],8)
[8,3,1,4,7,6,2,5]=>([(1,6),(2,3),(2,6),(3,7),(6,4),(6,5),(6,7)],8)
[8,3,5,7,6,2,4,1]=>([(2,7),(3,4),(3,7),(4,5),(4,6)],8)
[1,4,6,8,2,5,7,3]=>([(0,4),(0,5),(3,2),(3,7),(4,3),(4,6),(5,1),(5,6),(6,7)],8)
[3,6,2,4,8,1,7,5]=>([(0,5),(0,7),(1,4),(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,3,8,2,4,6,1,5]=>([(0,7),(1,5),(2,6),(3,5),(3,7),(7,4),(7,6)],8)
[1,5,2,6,8,3,7,4]=>([(0,3),(0,5),(3,7),(4,2),(4,6),(5,4),(5,7),(7,1),(7,6)],8)
[4,5,3,1,8,2,6,7]=>([(0,6),(0,7),(1,5),(2,3),(2,6),(3,7),(5,6),(5,7),(7,4)],8)
[7,2,8,4,1,3,5,6]=>([(0,5),(1,6),(2,3),(2,5),(2,6),(3,7),(6,7),(7,4)],8)
[6,1,7,3,2,8,4,5]=>([(0,5),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,2)],8)
[6,2,1,7,3,8,4,5]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(6,3),(6,5),(7,5)],8)
[5,8,2,1,3,4,6,7]=>([(0,6),(1,6),(2,3),(2,7),(5,7),(6,5),(7,4)],8)
[4,2,5,1,8,3,6,7]=>([(0,7),(1,5),(1,6),(2,6),(2,7),(4,3),(6,4),(7,4),(7,5)],8)
[7,4,2,8,3,1,5,6]=>([(0,7),(1,6),(2,6),(2,7),(3,4),(3,6),(4,7),(7,5)],8)
[7,4,2,8,3,5,1,6]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,7),(4,6),(6,5)],8)
[6,7,8,5,2,1,4,3]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(4,5)],8)
[1,6,2,7,8,4,3,5]=>([(0,4),(0,5),(2,6),(3,6),(4,7),(5,2),(5,3),(5,7),(7,1)],8)
[7,3,4,1,8,6,2,5]=>([(0,7),(1,4),(2,3),(2,5),(2,7),(3,6),(4,5),(4,6),(4,7)],8)
[4,7,6,3,5,8,2,1]=>([(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[3,7,6,5,2,4,8,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,4,7,8,6,2,5,3]=>([(0,5),(0,6),(4,3),(5,1),(5,7),(6,2),(6,4),(6,7)],8)
[1,6,7,8,3,2,5,4]=>([(0,2),(0,3),(0,5),(2,6),(2,7),(3,6),(3,7),(4,1),(5,4)],8)
[1,3,2,7,8,4,6,5]=>([(0,4),(0,5),(4,6),(4,7),(5,6),(5,7),(6,3),(7,1),(7,2)],8)
[5,7,1,4,6,2,8,3]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(4,7),(5,2),(5,7),(6,7)],8)
[6,3,1,4,7,8,2,5]=>([(0,6),(1,5),(2,4),(2,5),(4,7),(5,6),(5,7),(6,3)],8)
[4,5,7,1,8,6,2,3]=>([(0,5),(1,4),(1,6),(1,7),(3,7),(4,2),(5,3),(5,6)],8)
[4,3,8,6,5,2,7,1]=>([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[2,3,8,6,5,1,7,4]=>([(0,6),(0,7),(1,5),(3,7),(4,7),(5,2),(5,3),(5,4),(5,6)],8)
[5,4,7,3,1,2,6,8]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(4,7),(5,6),(7,6)],8)
[3,1,2,6,5,7,8,4]=>([(0,3),(1,4),(1,6),(1,7),(3,4),(3,6),(3,7),(5,2),(6,5),(7,5)],8)
[7,3,2,6,1,4,8,5]=>([(0,7),(1,6),(2,5),(2,7),(3,5),(3,7),(5,6),(7,4),(7,6)],8)
[3,2,5,6,8,4,1,7]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(5,7),(6,3)],8)
[7,2,6,8,5,4,3,1]=>([(1,7),(2,3),(2,4),(2,5),(2,6),(6,7)],8)
[3,7,5,6,2,4,1,8]=>([(0,7),(1,6),(2,3),(2,4),(2,6),(3,5),(4,7),(5,7),(6,7)],8)
[4,2,5,1,3,6,8,7]=>([(0,6),(1,5),(2,5),(2,6),(5,7),(6,7),(7,3),(7,4)],8)
[5,3,4,2,7,1,8,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(4,6),(4,7),(6,5)],8)
[6,5,2,1,3,8,4,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(4,7),(5,4),(5,6)],8)
[2,4,3,5,6,8,1,7]=>([(0,7),(1,3),(1,4),(3,6),(4,6),(5,2),(5,7),(6,5)],8)
[6,3,2,4,8,5,1,7]=>([(0,6),(1,6),(2,7),(3,5),(3,7),(4,7),(6,4),(6,5)],8)
[6,3,1,2,7,8,4,5]=>([(0,7),(1,6),(1,7),(2,4),(4,6),(4,7),(6,5),(7,3)],8)
[8,4,7,1,2,5,3,6]=>([(1,4),(2,3),(2,7),(4,5),(4,7),(5,6),(7,6)],8)
[7,4,6,1,8,5,2,3]=>([(0,7),(1,4),(1,6),(2,3),(2,6),(2,7),(3,5),(4,7)],8)
[8,5,6,7,2,1,4,3]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(4,5)],8)
[2,5,6,3,8,4,7,1]=>([(1,4),(1,5),(2,6),(3,6),(3,7),(4,3),(5,2),(5,7)],8)
[1,7,6,2,8,3,5,4]=>([(0,3),(0,4),(0,5),(3,7),(4,7),(5,6),(5,7),(6,1),(6,2)],8)
[4,1,3,8,5,2,7,6]=>([(0,2),(0,3),(1,6),(1,7),(2,4),(2,5),(3,6),(3,7),(7,4),(7,5)],8)
[1,8,5,4,7,2,3,6]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(3,6),(3,7),(4,6),(4,7),(5,1)],8)
[8,2,5,6,4,3,1,7]=>([(1,7),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[2,4,3,8,6,5,1,7]=>([(0,7),(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[3,1,4,5,8,6,2,7]=>([(0,7),(1,4),(1,7),(3,6),(4,6),(5,2),(5,3),(7,5)],8)
[1,8,3,2,5,4,6,7]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7),(7,1)],8)
[5,1,7,3,2,8,4,6]=>([(0,2),(0,3),(0,5),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(5,7),(6,4)],8)
[5,7,8,1,3,2,4,6]=>([(0,5),(0,7),(1,3),(1,4),(3,6),(4,6),(5,2),(6,7)],8)
[8,2,4,1,6,7,3,5]=>([(1,5),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(7,3)],8)
[8,7,3,6,2,4,1,5]=>([(2,7),(3,6),(4,5),(4,6),(6,7)],8)
[1,7,4,8,3,6,2,5]=>([(0,1),(0,2),(0,3),(0,4),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,8,6,1,3,5,4,2]=>([(1,6),(2,5),(2,7),(7,3),(7,4)],8)
[1,7,5,8,4,3,2,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(5,7)],8)
[6,3,1,2,7,8,5,4]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)
[8,2,7,5,3,4,1,6]=>([(1,7),(2,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)
[6,3,1,2,8,7,5,4]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(3,4),(3,5),(3,6),(3,7)],8)
[8,4,7,2,6,3,1,5]=>([(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(5,7)],8)
[1,2,5,7,8,3,6,4]=>([(0,6),(3,2),(4,3),(4,7),(5,1),(5,7),(6,4),(6,5)],8)
[7,6,3,4,2,1,8,5]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[8,4,6,2,3,7,1,5]=>([(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(5,7)],8)
[3,4,5,8,1,7,2,6]=>([(0,5),(1,3),(1,7),(3,6),(4,2),(4,6),(4,7),(5,4)],8)
[6,3,4,2,7,8,1,5]=>([(0,7),(1,6),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)
[5,6,3,7,8,2,1,4]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(4,6),(6,5)],8)
[8,6,3,4,7,2,1,5]=>([(1,7),(2,7),(3,6),(4,5),(5,6),(5,7)],8)
[4,3,8,6,7,5,1,2]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(7,3)],8)
[4,5,6,2,7,8,3,1]=>([(1,6),(2,5),(2,7),(3,7),(6,3),(7,4)],8)
[4,5,6,2,7,1,8,3]=>([(0,5),(0,7),(1,5),(1,6),(2,3),(3,4),(4,6),(6,7)],8)
[4,5,6,2,1,7,8,3]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,5),(5,7),(7,4)],8)
[4,5,6,2,1,7,3,8]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(3,4),(4,7),(5,6),(7,6)],8)
[6,8,7,2,3,1,4,5]=>([(0,7),(1,5),(2,3),(2,4),(5,7),(7,6)],8)
[4,5,1,6,7,3,2,8]=>([(0,5),(1,2),(1,3),(1,6),(2,7),(3,7),(4,7),(5,6),(6,4)],8)
[2,5,1,8,3,7,4,6]=>([(0,3),(0,7),(1,5),(1,7),(2,6),(3,4),(3,5),(3,6),(7,2),(7,4)],8)
[5,7,2,1,3,8,4,6]=>([(0,5),(1,5),(2,3),(2,6),(3,7),(4,6),(5,4),(5,7)],8)
[7,1,5,4,2,6,3,8]=>([(0,7),(1,3),(1,4),(1,5),(2,7),(3,6),(4,6),(5,2),(5,6),(6,7)],8)
[2,7,4,5,6,8,1,3]=>([(0,7),(1,3),(1,5),(1,7),(2,6),(3,6),(4,2),(5,4)],8)
[2,3,4,6,8,1,7,5]=>([(0,6),(0,7),(1,3),(3,4),(4,5),(4,6),(5,2),(5,7)],8)
[2,3,5,8,1,6,7,4]=>([(0,6),(0,7),(1,5),(4,3),(4,7),(5,4),(5,6),(7,2)],8)
[2,4,7,5,6,8,1,3]=>([(0,7),(1,5),(1,7),(2,6),(3,6),(4,3),(5,2),(5,4)],8)
[7,3,4,6,2,8,1,5]=>([(0,7),(1,6),(2,6),(2,7),(3,4),(4,5),(4,7),(5,6)],8)
[4,7,6,5,2,8,3,1]=>([(1,3),(1,7),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[2,5,4,8,6,7,3,1]=>([(1,3),(1,4),(1,5),(4,6),(4,7),(5,6),(5,7),(7,2)],8)
[7,5,4,1,6,8,2,3]=>([(0,7),(1,7),(2,6),(3,4),(3,7),(4,5),(7,6)],8)
[8,5,2,1,7,6,3,4]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4)],8)
[2,7,3,6,4,1,8,5]=>([(0,6),(0,7),(1,3),(1,5),(2,7),(3,7),(4,6),(4,7),(5,2),(5,4)],8)
[7,2,1,8,5,6,4,3]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3)],8)
[3,6,5,1,4,8,2,7]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(4,7),(5,6),(5,7)],8)
[6,3,5,4,8,1,2,7]=>([(0,6),(0,7),(1,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,1,4,6,3,8,7]=>([(0,5),(0,7),(1,2),(1,5),(1,7),(2,6),(5,6),(6,3),(6,4),(7,3),(7,4)],8)
[3,1,5,6,4,2,8,7]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[8,5,6,4,3,1,7,2]=>([(1,7),(2,7),(3,6),(4,5),(4,7),(6,7)],8)
[8,3,5,6,7,1,2,4]=>([(1,4),(2,6),(2,7),(4,7),(5,3),(6,5)],8)
[2,1,4,7,3,6,8,5]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(5,4),(6,3),(6,5),(7,2),(7,3),(7,5)],8)
[5,3,7,6,4,8,2,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[3,7,6,4,2,8,1,5]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(5,7)],8)
[8,6,1,4,3,7,2,5]=>([(1,6),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,7,5,1,6,3,2]=>([(1,3),(1,6),(2,4),(2,5),(2,7),(6,7)],8)
[2,1,5,3,7,8,6,4]=>([(0,6),(0,7),(1,6),(1,7),(5,3),(6,4),(6,5),(7,2),(7,4),(7,5)],8)
[5,1,4,7,6,8,2,3]=>([(0,6),(0,7),(1,3),(1,4),(3,6),(3,7),(4,2),(6,5),(7,5)],8)
[8,4,1,3,7,6,5,2]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(4,5),(4,6),(4,7)],8)
[8,3,4,1,6,7,5,2]=>([(1,5),(2,3),(2,6),(2,7),(5,6),(5,7),(7,4)],8)
[8,1,4,2,6,5,7,3]=>([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6),(5,7),(6,7)],8)
[5,8,1,4,3,2,6,7]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(2,7),(3,7),(4,7),(7,5)],8)
[5,6,4,3,8,2,7,1]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[1,6,4,3,8,2,7,5]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,8,1,4,3,2,5,6]=>([(0,6),(1,2),(1,3),(1,4),(2,7),(3,7),(4,7),(7,5)],8)
[7,1,8,4,5,3,6,2]=>([(0,7),(1,2),(1,4),(1,5),(1,7),(3,6),(4,6),(5,3)],8)
[4,3,1,8,6,5,7,2]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(6,4),(7,4)],8)
[4,3,2,7,5,1,8,6]=>([(0,5),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(5,6),(7,4),(7,6)],8)
[5,2,3,7,4,1,8,6]=>([(0,6),(0,7),(1,5),(1,6),(2,3),(3,4),(3,5),(4,6),(4,7),(5,7)],8)
[2,1,7,4,3,6,8,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(5,3),(6,2),(6,4),(7,2),(7,4)],8)
[7,1,2,4,5,6,8,3]=>([(0,7),(1,6),(3,7),(4,5),(5,3),(6,2),(6,4)],8)
[2,8,7,1,4,5,6,3]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(5,2),(7,5)],8)
[8,7,1,3,4,5,6,2]=>([(2,4),(2,7),(5,6),(6,3),(7,5)],8)
[5,8,3,1,4,6,7,2]=>([(0,6),(1,3),(1,7),(2,4),(2,6),(6,7),(7,5)],8)
[1,7,2,5,4,6,8,3]=>([(0,4),(0,5),(2,6),(3,6),(4,7),(5,1),(5,2),(5,3),(6,7)],8)
[2,5,3,8,1,6,7,4]=>([(0,6),(0,7),(1,3),(1,4),(3,5),(3,7),(4,5),(4,6),(4,7),(7,2)],8)
[1,6,4,2,5,7,8,3]=>([(0,3),(0,4),(0,5),(3,7),(4,6),(5,2),(5,6),(6,7),(7,1)],8)
[6,5,3,4,1,7,8,2]=>([(0,7),(1,7),(2,5),(3,4),(3,7),(5,7),(7,6)],8)
[5,6,3,4,1,7,8,2]=>([(0,6),(1,5),(2,4),(2,7),(5,7),(6,7),(7,3)],8)
[2,5,3,1,4,7,8,6]=>([(0,6),(1,3),(1,4),(3,6),(4,5),(4,7),(6,5),(6,7),(7,2)],8)
[6,8,2,3,1,5,7,4]=>([(0,6),(0,7),(1,4),(2,3),(2,5),(4,6),(4,7),(7,5)],8)
[4,3,1,5,2,7,8,6]=>([(0,7),(1,7),(2,4),(2,7),(4,5),(4,6),(6,3),(7,5),(7,6)],8)
[5,2,3,1,4,7,8,6]=>([(0,7),(1,5),(1,6),(2,4),(4,7),(6,3),(7,5),(7,6)],8)
[7,2,1,3,5,6,8,4]=>([(0,7),(1,7),(2,6),(4,5),(5,6),(7,3),(7,4)],8)
[5,2,4,7,8,6,3,1]=>([(1,6),(1,7),(2,4),(2,5),(5,6),(5,7),(7,3)],8)
[5,4,8,7,2,3,1,6]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,7)],8)
[8,1,4,5,3,6,2,7]=>([(1,2),(1,4),(1,5),(2,7),(3,6),(4,6),(5,3),(6,7)],8)
[8,3,5,1,4,6,2,7]=>([(1,3),(1,5),(2,4),(2,5),(3,7),(4,6),(5,6),(6,7)],8)
[5,8,2,1,7,4,3,6]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(4,7),(5,7)],8)
[6,5,7,2,1,8,4,3]=>([(0,6),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(6,7)],8)
[1,5,4,7,3,8,6,2]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[7,4,1,3,8,5,6,2]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(4,6),(4,7),(6,5)],8)
[3,6,8,4,1,7,2,5]=>([(0,4),(0,7),(1,3),(1,5),(3,6),(3,7),(4,6),(5,2),(5,7)],8)
[2,1,8,4,7,6,3,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(6,4),(7,2),(7,3),(7,4)],8)
[2,7,5,6,8,4,3,1]=>([(1,2),(1,3),(1,5),(1,6),(4,7),(5,7),(6,4)],8)
[3,5,2,4,7,8,6,1]=>([(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[7,5,6,3,8,2,1,4]=>([(0,7),(1,6),(2,6),(3,6),(3,7),(4,5),(5,7)],8)
[1,6,2,7,4,5,8,3]=>([(0,3),(0,5),(2,7),(3,6),(4,2),(5,1),(5,4),(5,6),(6,7)],8)
[7,4,2,6,1,5,8,3]=>([(0,7),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[8,4,1,6,2,5,7,3]=>([(1,5),(1,7),(2,3),(2,5),(3,4),(3,7),(5,6),(7,6)],8)
[7,3,4,5,1,6,8,2]=>([(0,7),(1,4),(2,3),(2,6),(4,5),(5,6),(6,7)],8)
[8,4,2,7,6,1,5,3]=>([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[8,4,7,1,2,6,5,3]=>([(1,4),(2,3),(2,6),(2,7),(4,5),(4,6),(4,7)],8)
[8,4,7,6,1,2,5,3]=>([(1,6),(2,4),(2,5),(2,7),(6,3),(6,7)],8)
[8,7,6,2,1,5,3,4]=>([(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[5,7,8,1,6,2,4,3]=>([(0,6),(0,7),(1,5),(1,7),(5,4),(6,2),(6,3)],8)
[6,8,7,4,2,5,1,3]=>([(0,7),(1,6),(2,6),(2,7),(3,4),(3,5)],8)
[6,8,4,5,7,2,1,3]=>([(0,6),(1,6),(2,5),(3,4),(3,7),(5,7)],8)
[3,1,6,5,4,7,2,8]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(4,7),(5,7),(6,7),(7,3)],8)
[4,1,2,6,5,3,7,8]=>([(0,5),(0,6),(1,4),(2,7),(4,2),(4,5),(4,6),(5,7),(6,7),(7,3)],8)
[4,6,1,3,5,2,7,8]=>([(0,5),(0,6),(1,2),(1,4),(2,7),(4,6),(5,7),(6,7),(7,3)],8)
[4,2,6,3,5,1,7,8]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(3,6),(5,7),(6,7),(7,4)],8)
[4,6,1,2,5,3,7,8]=>([(0,5),(1,4),(1,6),(2,7),(4,7),(5,2),(5,6),(6,7),(7,3)],8)
[5,8,4,7,1,3,6,2]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(5,7)],8)
[6,4,7,1,3,5,2,8]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(3,6),(4,7),(5,7),(6,7)],8)
[6,8,3,1,5,4,7,2]=>([(0,5),(0,6),(1,3),(1,7),(2,4),(2,5),(2,6),(5,7),(6,7)],8)
[5,1,3,6,7,4,2,8]=>([(0,6),(1,3),(1,5),(2,7),(3,7),(4,7),(5,2),(5,6),(6,4)],8)
[4,2,8,6,7,1,3,5]=>([(0,7),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(6,3),(7,4)],8)
[6,1,2,4,7,3,5,8]=>([(0,7),(1,4),(2,5),(3,5),(3,7),(4,2),(4,3),(5,6),(7,6)],8)
[5,3,1,6,4,7,2,8]=>([(0,7),(1,4),(1,7),(2,3),(2,4),(2,7),(3,6),(4,5),(5,6),(7,5)],8)
[4,2,8,1,6,5,7,3]=>([(0,4),(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(6,5),(7,5)],8)
[5,6,1,4,8,3,2,7]=>([(0,5),(1,2),(1,3),(1,4),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,4,1,7,2,8,5]=>([(0,4),(0,7),(1,2),(1,3),(2,7),(3,5),(3,7),(4,5),(4,6),(7,6)],8)
[5,2,6,3,7,8,4,1]=>([(1,6),(2,4),(2,6),(4,5),(4,7),(6,7),(7,3)],8)
[2,4,1,3,7,8,6,5]=>([(0,7),(1,3),(1,7),(3,4),(3,5),(3,6),(6,2),(7,4),(7,5),(7,6)],8)
[2,6,1,5,7,8,4,3]=>([(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(3,4),(4,2),(7,4)],8)
[5,1,6,4,7,8,2,3]=>([(0,6),(1,4),(1,5),(1,6),(4,7),(5,3),(6,7),(7,2)],8)
[8,4,6,3,7,5,1,2]=>([(1,6),(1,7),(2,4),(3,5),(3,6),(5,7)],8)
[4,7,6,8,2,3,5,1]=>([(1,5),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6)],8)
[5,7,4,8,1,2,6,3]=>([(0,6),(0,7),(1,3),(2,4),(2,7),(3,5),(3,7),(4,6)],8)
[3,6,7,5,8,1,4,2]=>([(0,4),(0,7),(1,3),(1,5),(1,7),(2,6),(3,6),(5,2)],8)
[3,7,5,6,8,2,4,1]=>([(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(5,7)],8)
[2,7,1,6,8,4,5,3]=>([(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(3,4),(6,2),(7,4)],8)
[1,5,4,7,2,6,3,8]=>([(0,2),(0,3),(0,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6),(5,7),(6,7)],8)
[2,4,5,8,3,1,7,6]=>([(0,6),(0,7),(1,3),(1,4),(3,6),(3,7),(4,5),(5,2),(5,6),(5,7)],8)
[1,4,7,5,8,3,6,2]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(2,7),(4,7),(5,1),(5,2)],8)
[2,6,8,7,3,5,1,4]=>([(0,7),(1,5),(1,6),(5,4),(5,7),(6,2),(6,3)],8)
[4,7,8,6,2,5,1,3]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(2,7),(4,5)],8)
[4,8,7,3,5,6,2,1]=>([(2,7),(3,4),(3,5),(3,7),(7,6)],8)
[1,7,6,3,5,4,2,8]=>([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2)],8)
[4,3,8,1,6,5,7,2]=>([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(6,5),(7,5)],8)
[1,3,6,2,5,8,7,4]=>([(0,2),(0,3),(1,4),(1,5),(2,6),(2,7),(3,1),(3,6),(3,7),(7,4),(7,5)],8)
[5,8,7,1,4,6,3,2]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(4,7)],8)
[6,2,5,1,3,4,8,7]=>([(0,6),(0,7),(1,5),(2,3),(2,5),(3,6),(3,7),(4,6),(4,7),(5,4)],8)
[2,6,5,1,3,4,8,7]=>([(0,5),(1,2),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,4)],8)
[4,6,5,1,2,7,3,8]=>([(0,5),(1,2),(1,3),(2,7),(3,7),(4,6),(5,4),(5,7),(7,6)],8)
[5,6,4,1,2,7,3,8]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[8,1,5,6,2,4,3,7]=>([(1,5),(1,6),(2,7),(3,7),(4,7),(5,4),(6,2),(6,3)],8)
[6,4,5,1,2,7,3,8]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[5,4,6,1,3,2,7,8]=>([(0,6),(1,6),(2,3),(2,4),(3,7),(4,7),(6,7),(7,5)],8)
[5,7,1,4,3,2,6,8]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(2,7),(3,7),(4,7),(5,6),(7,6)],8)
[2,6,4,1,3,7,5,8]=>([(0,6),(1,2),(1,3),(1,6),(2,7),(3,5),(3,7),(5,4),(6,5),(6,7),(7,4)],8)
[7,8,5,3,2,1,6,4]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5)],8)
[1,2,6,7,8,4,5,3]=>([(0,7),(4,2),(5,6),(6,3),(7,1),(7,4),(7,5)],8)
[6,1,4,8,2,7,5,3]=>([(0,6),(0,7),(1,3),(1,4),(3,5),(3,6),(3,7),(4,2),(4,5),(4,7)],8)
[5,2,3,7,1,8,4,6]=>([(0,3),(1,5),(1,7),(2,4),(2,6),(3,6),(3,7),(6,5),(7,4)],8)
[7,2,3,1,8,4,6,5]=>([(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(6,4),(6,5)],8)
[5,4,1,7,3,2,8,6]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6)],8)
[7,3,4,5,1,8,6,2]=>([(0,7),(1,4),(2,3),(2,6),(2,7),(4,5),(5,6),(5,7)],8)
[1,5,6,7,4,8,2,3]=>([(0,3),(0,5),(0,6),(2,7),(3,7),(4,2),(5,1),(6,4)],8)
[6,3,2,5,7,4,8,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,7),(5,6),(6,7)],8)
[4,5,2,7,6,3,1,8]=>([(0,7),(1,4),(2,3),(2,5),(2,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,5,2,1,7,6,3,8]=>([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(3,6),(3,7),(4,5),(6,5),(7,5)],8)
[2,6,7,8,3,1,4,5]=>([(0,7),(1,3),(1,6),(3,7),(5,2),(6,5),(7,4)],8)
[6,3,2,5,1,7,8,4]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(5,7),(7,4)],8)
[4,6,3,7,8,2,1,5]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,7),(4,6),(6,5)],8)
[5,6,7,1,8,4,2,3]=>([(0,6),(1,3),(1,5),(1,7),(4,7),(5,2),(6,4)],8)
[1,7,8,4,6,5,2,3]=>([(0,5),(0,6),(0,7),(5,4),(6,3),(7,1),(7,2)],8)
[1,7,3,2,8,6,5,4]=>([(0,1),(0,2),(0,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[3,7,1,2,8,6,5,4]=>([(0,3),(1,2),(1,4),(1,5),(1,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[2,7,8,1,6,5,3,4]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(4,3),(7,2)],8)
[8,1,5,7,3,4,6,2]=>([(1,3),(1,5),(1,6),(4,7),(5,4),(6,2),(6,7)],8)
[5,8,2,7,6,3,1,4]=>([(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7)],8)
[2,8,4,7,6,3,1,5]=>([(0,7),(1,4),(1,5),(1,6),(5,7),(6,2),(6,3),(6,7)],8)
[1,8,2,4,7,6,3,5]=>([(0,4),(0,6),(3,7),(5,1),(5,2),(5,7),(6,3),(6,5)],8)
[4,5,8,7,1,6,2,3]=>([(0,6),(1,5),(1,7),(5,4),(6,2),(6,3),(6,7)],8)
[1,8,2,4,6,7,5,3]=>([(0,4),(0,7),(5,3),(6,2),(6,5),(7,1),(7,6)],8)
[2,5,1,8,4,7,6,3]=>([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(7,3),(7,4)],8)
[3,4,2,8,1,7,6,5]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(3,4),(3,5),(3,6),(3,7)],8)
[2,4,5,8,1,7,6,3]=>([(0,5),(0,6),(0,7),(1,3),(1,7),(3,4),(4,2),(4,5),(4,6)],8)
[3,1,8,2,6,7,5,4]=>([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(3,4),(3,5),(3,6),(6,2)],8)
[2,6,8,1,4,3,7,5]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,2),(3,7),(5,4),(5,7),(6,4),(6,7)],8)
[1,6,5,2,8,7,3,4]=>([(0,2),(0,3),(0,5),(2,6),(2,7),(3,6),(3,7),(4,1),(5,4),(5,6),(5,7)],8)
[2,6,1,5,8,7,3,4]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(3,4),(3,5),(6,2),(7,4),(7,5)],8)
[8,1,7,3,5,2,4,6]=>([(1,3),(1,4),(1,5),(2,7),(4,6),(5,2),(5,6),(6,7)],8)
[8,1,3,2,7,6,4,5]=>([(1,3),(1,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,2)],8)
[7,3,4,8,6,2,5,1]=>([(1,7),(2,6),(3,4),(4,5),(4,6),(4,7)],8)
[7,5,8,1,6,2,3,4]=>([(0,6),(1,3),(1,7),(2,6),(2,7),(3,5),(5,4)],8)
[6,8,4,5,3,1,7,2]=>([(0,7),(1,6),(2,5),(2,7),(3,4),(3,7),(6,7)],8)
[6,7,5,3,2,8,4,1]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,7)],8)
[6,2,5,3,8,1,4,7]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
[7,6,1,3,5,2,4,8]=>([(0,7),(1,7),(2,3),(2,4),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[6,2,4,5,3,8,1,7]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,5,4,7,2,3,8]=>([(0,7),(1,2),(1,3),(1,5),(2,7),(3,7),(4,6),(5,4),(7,6)],8)
[6,8,5,4,7,1,3,2]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5)],8)
[1,6,8,4,2,5,7,3]=>([(0,3),(0,4),(0,5),(3,6),(4,2),(4,7),(5,1),(5,6),(6,7)],8)
[7,5,8,1,3,4,2,6]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(3,5),(4,7),(5,7)],8)
[1,4,2,8,3,5,7,6]=>([(0,4),(0,5),(3,7),(4,6),(4,7),(5,3),(5,6),(7,1),(7,2)],8)
[1,3,5,4,8,7,2,6]=>([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,7),(4,1),(4,2)],8)
[1,6,2,4,8,3,7,5]=>([(0,3),(0,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,1),(4,2)],8)
[1,7,8,5,4,2,6,3]=>([(0,3),(0,4),(0,5),(0,6),(3,7),(4,7),(5,2),(6,1),(6,7)],8)
[1,5,2,8,6,4,7,3]=>([(0,3),(0,4),(2,7),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6),(6,7)],8)
[1,6,5,2,7,4,8,3]=>([(0,3),(0,4),(0,5),(2,6),(3,7),(4,7),(5,1),(5,2),(5,7),(7,6)],8)
[5,1,6,7,4,2,8,3]=>([(0,6),(1,3),(1,5),(1,6),(3,7),(4,7),(5,2),(5,7),(6,4)],8)
[1,5,4,2,8,6,7,3]=>([(0,3),(0,4),(0,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,6),(5,7),(7,1)],8)
[1,8,5,4,6,2,7,3]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,7),(6,7)],8)
[1,7,5,4,6,2,8,3]=>([(0,2),(0,3),(0,4),(0,5),(2,7),(3,6),(4,6),(5,1),(5,7),(6,7)],8)
[5,8,4,1,6,2,7,3]=>([(0,7),(1,3),(1,7),(2,4),(2,7),(4,5),(4,6),(7,6)],8)
[6,4,5,1,7,2,8,3]=>([(0,7),(1,3),(2,4),(2,7),(3,7),(4,5),(4,6),(7,6)],8)
[4,8,1,3,7,6,2,5]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(2,7),(3,5),(3,6),(3,7)],8)
[4,5,3,1,2,8,7,6]=>([(0,5),(0,6),(0,7),(1,4),(2,3),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,4,2,3,1,8,7,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[6,5,2,1,3,8,7,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(5,4),(5,6),(5,7)],8)
[7,6,1,8,2,5,3,4]=>([(0,7),(1,7),(2,6),(2,7),(5,4),(6,3),(6,5)],8)
[8,4,2,3,7,6,1,5]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[5,7,8,1,2,4,3,6]=>([(0,6),(1,5),(1,7),(3,7),(4,7),(5,2),(6,3),(6,4)],8)
[1,7,6,8,3,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,1),(6,2)],8)
[5,7,6,4,2,1,3,8]=>([(0,7),(1,6),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[6,5,7,4,1,3,2,8]=>([(0,7),(1,6),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[4,6,1,8,3,5,2,7]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(2,6),(3,7),(4,5),(4,7),(6,7)],8)
[7,1,6,8,2,5,4,3]=>([(0,7),(1,5),(1,6),(5,7),(6,2),(6,3),(6,4)],8)
[4,7,1,8,3,2,5,6]=>([(0,5),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(5,6),(7,4)],8)
[4,8,3,6,1,5,2,7]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[1,7,8,6,4,5,3,2]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(6,2),(7,1)],8)
[3,2,8,6,4,5,1,7]=>([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(5,7),(6,3)],8)
[8,4,3,6,2,5,1,7]=>([(1,7),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,6,8,7,4,3,5,2]=>([(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,1),(6,2)],8)
[3,1,2,6,8,7,5,4]=>([(0,5),(0,6),(0,7),(1,4),(4,5),(4,6),(4,7),(7,2),(7,3)],8)
[5,7,4,2,1,8,6,3]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(4,7)],8)
[8,6,5,7,2,4,3,1]=>([(2,7),(3,7),(4,5),(4,6)],8)
[7,4,6,1,8,5,3,2]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(5,7)],8)
[7,4,6,3,8,1,5,2]=>([(0,7),(1,6),(1,7),(2,4),(2,6),(3,5),(3,6),(5,7)],8)
[7,4,8,1,6,3,2,5]=>([(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(3,7),(4,7)],8)
[7,4,8,3,6,2,1,5]=>([(0,7),(1,7),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7)],8)
[6,4,8,2,3,5,7,1]=>([(1,5),(1,7),(2,5),(2,6),(3,4),(4,7),(7,6)],8)
[4,6,8,2,5,7,1,3]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(3,7),(6,7)],8)
[6,4,8,2,5,7,1,3]=>([(0,4),(1,5),(1,7),(2,4),(2,6),(3,5),(3,6),(6,7)],8)
[6,2,4,5,8,3,7,1]=>([(1,6),(1,7),(2,3),(2,4),(3,5),(4,7),(5,6),(5,7)],8)
[6,8,2,4,7,3,5,1]=>([(1,3),(1,6),(2,4),(2,5),(4,7),(5,6),(5,7)],8)
[8,4,6,2,7,1,3,5]=>([(1,5),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)
[6,8,4,2,7,1,3,5]=>([(0,6),(0,7),(1,5),(2,5),(2,7),(3,4),(3,7),(5,6)],8)
[6,8,2,4,1,7,3,5]=>([(0,5),(0,7),(1,3),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6)],8)
[7,5,1,6,2,4,8,3]=>([(0,7),(1,6),(2,3),(2,6),(3,4),(3,5),(5,7),(6,7)],8)
[4,2,5,7,1,6,8,3]=>([(0,7),(1,5),(1,7),(2,5),(2,6),(3,4),(6,4),(7,3),(7,6)],8)
[4,5,2,3,8,7,1,6]=>([(0,7),(1,4),(2,3),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[2,5,4,7,6,1,3,8]=>([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[5,2,3,7,6,1,4,8]=>([(0,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,2,3,7,6,1,5,8]=>([(0,7),(1,4),(1,5),(1,7),(2,3),(3,4),(3,5),(3,7),(4,6),(5,6),(7,6)],8)
[4,2,7,3,5,1,6,8]=>([(0,6),(1,3),(1,7),(2,5),(2,7),(3,5),(5,6),(6,4),(7,4)],8)
[5,6,2,3,8,4,7,1]=>([(1,3),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
[5,6,2,3,1,7,8,4]=>([(0,6),(0,7),(1,3),(2,5),(3,7),(5,6),(5,7),(7,4)],8)
[5,7,2,3,4,1,6,8]=>([(0,7),(1,3),(2,4),(2,7),(3,5),(4,6),(5,7),(7,6)],8)
[6,2,7,3,5,1,4,8]=>([(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[7,2,6,3,5,1,4,8]=>([(0,7),(1,6),(2,3),(2,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,5,2,3,1,7,8,4]=>([(0,7),(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)
[6,5,2,3,8,4,7,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(4,7),(5,6)],8)
[7,5,2,1,4,6,8,3]=>([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6),(6,7)],8)
[8,5,2,3,1,6,4,7]=>([(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5),(7,5)],8)
[8,6,2,3,1,5,4,7]=>([(1,7),(2,5),(2,6),(3,4),(4,5),(4,6),(5,7),(6,7)],8)
[8,2,6,3,1,7,4,5]=>([(1,6),(1,7),(2,3),(2,4),(3,7),(4,6),(4,7),(6,5)],8)
[1,6,3,4,2,7,5,8]=>([(0,2),(0,3),(0,4),(1,5),(1,7),(2,7),(3,5),(3,7),(4,1),(5,6),(7,6)],8)
[8,5,2,7,3,4,6,1]=>([(2,6),(2,7),(3,4),(3,6),(4,5),(5,7)],8)
[1,7,2,4,5,6,8,3]=>([(0,3),(0,6),(2,7),(3,7),(4,5),(5,2),(6,1),(6,4)],8)
[1,8,3,2,5,6,4,7]=>([(0,2),(0,3),(0,4),(1,6),(3,5),(3,7),(4,5),(4,7),(5,6),(7,1)],8)
[7,2,8,1,4,6,3,5]=>([(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,4),(7,3),(7,4)],8)
[2,7,8,1,5,6,3,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(5,2),(6,4),(7,3)],8)
[6,8,2,3,1,5,4,7]=>([(0,5),(0,6),(1,4),(2,3),(2,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,8,2,3,1,6,4,7]=>([(0,6),(0,7),(1,4),(2,3),(2,7),(4,6),(4,7),(6,5),(7,5)],8)
[5,7,2,1,4,6,8,3]=>([(0,3),(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(6,4),(7,6)],8)
[4,2,7,1,5,6,8,3]=>([(0,4),(0,7),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(5,6),(7,3)],8)
[4,2,3,8,1,7,5,6]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)
[4,2,1,5,3,7,6,8]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)
[5,1,3,8,4,6,7,2]=>([(0,6),(0,7),(1,4),(1,5),(3,7),(5,3),(5,6),(7,2)],8)
[5,1,3,2,6,7,8,4]=>([(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(5,2),(7,5)],8)
[5,1,3,4,2,7,6,8]=>([(0,6),(0,7),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,2),(6,5),(7,5)],8)
[6,1,3,4,2,7,5,8]=>([(0,7),(1,3),(1,4),(2,5),(2,7),(3,5),(3,7),(4,2),(5,6),(7,6)],8)
[7,2,1,3,5,8,4,6]=>([(0,6),(1,5),(2,5),(3,7),(4,6),(4,7),(5,3),(5,4)],8)
[6,8,7,2,3,4,5,1]=>([(1,7),(2,4),(2,5),(6,3),(7,6)],8)
[3,7,2,8,1,4,5,6]=>([(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(4,6),(7,3)],8)
[5,2,3,7,4,6,1,8]=>([(0,7),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5),(5,7),(6,7)],8)
[2,5,3,7,4,6,1,8]=>([(0,7),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6),(5,7),(6,7)],8)
[2,6,7,3,4,5,1,8]=>([(0,7),(1,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[6,2,7,3,4,5,1,8]=>([(0,7),(1,6),(2,3),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[3,8,4,5,2,1,6,7]=>([(0,7),(1,7),(2,3),(2,6),(4,7),(6,4),(7,5)],8)
[2,7,6,3,4,5,1,8]=>([(0,7),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(5,2),(6,5)],8)
[2,8,7,5,1,3,4,6]=>([(0,7),(1,2),(1,3),(1,5),(1,7),(4,6),(5,6),(7,4)],8)
[4,5,7,2,8,3,6,1]=>([(1,4),(2,3),(2,6),(3,7),(4,5),(4,7),(5,6)],8)
[5,2,1,3,6,7,8,4]=>([(0,7),(1,6),(2,6),(4,5),(6,3),(6,7),(7,4)],8)
[7,5,2,6,1,8,4,3]=>([(0,7),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(6,7)],8)
[6,1,5,2,7,8,4,3]=>([(0,7),(1,4),(1,6),(4,7),(6,2),(6,3),(6,7),(7,5)],8)
[7,5,6,8,4,1,3,2]=>([(1,7),(2,6),(3,4),(3,5),(6,7)],8)
[8,3,7,5,1,4,2,6]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(4,7),(5,7),(6,7)],8)
[8,1,5,7,3,6,2,4]=>([(1,3),(1,4),(1,5),(3,6),(4,6),(4,7),(5,2),(5,7)],8)
[8,3,2,6,4,5,1,7]=>([(1,7),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,4)],8)
[8,5,3,7,4,1,2,6]=>([(1,6),(1,7),(2,5),(3,4),(3,6),(4,7),(5,7)],8)
[8,5,6,2,7,1,3,4]=>([(1,6),(2,6),(2,7),(3,4),(4,7),(6,5)],8)
[8,4,7,2,6,5,1,3]=>([(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)
[8,5,7,3,2,6,1,4]=>([(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7)],8)
[8,1,2,3,6,4,7,5]=>([(1,4),(3,7),(4,6),(5,2),(5,7),(6,3),(6,5)],8)
[7,6,2,3,5,8,1,4]=>([(0,7),(1,7),(2,6),(3,4),(4,5),(4,6),(5,7)],8)
[4,5,3,7,8,1,6,2]=>([(0,6),(0,7),(1,4),(2,3),(2,7),(4,6),(4,7),(6,5)],8)
[3,4,2,8,1,6,7,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)
[8,3,4,1,5,7,6,2]=>([(1,6),(2,5),(2,7),(6,7),(7,3),(7,4)],8)
[4,3,7,5,1,6,2,8]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(3,7),(4,6),(5,7),(6,7)],8)
[5,2,6,1,4,3,7,8]=>([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7),(7,3)],8)
[3,5,2,8,6,7,4,1]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(7,3)],8)
[5,3,7,4,2,8,6,1]=>([(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(4,6),(4,7),(5,7)],8)
[7,4,8,2,3,5,6,1]=>([(1,6),(2,6),(2,7),(3,4),(4,7),(7,5)],8)
[5,6,2,8,7,1,4,3]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7)],8)
[4,6,3,5,2,7,8,1]=>([(1,7),(2,6),(3,4),(3,6),(4,7),(6,7),(7,5)],8)
[4,1,6,3,5,7,2,8]=>([(0,2),(0,3),(0,7),(1,6),(1,7),(2,6),(3,4),(5,4),(6,5),(7,5)],8)
[3,1,5,7,4,6,8,2]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(3,4),(5,4),(6,5),(7,3),(7,5)],8)
[7,2,5,8,6,1,4,3]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,7)],8)
[4,3,6,1,5,7,8,2]=>([(0,5),(0,7),(1,5),(1,7),(2,4),(2,7),(5,6),(6,3),(7,6)],8)
[3,5,4,1,2,6,7,8]=>([(0,5),(1,3),(1,4),(3,7),(4,7),(5,7),(6,2),(7,6)],8)
[5,3,1,4,6,7,8,2]=>([(0,7),(1,6),(2,3),(2,6),(4,5),(6,7),(7,4)],8)
[4,6,7,1,3,5,8,2]=>([(0,5),(0,7),(1,2),(1,3),(3,7),(4,6),(5,4),(7,6)],8)
[5,6,1,3,4,7,2,8]=>([(0,4),(1,2),(1,5),(2,7),(3,6),(4,6),(5,3),(6,7)],8)
[2,5,3,7,8,4,6,1]=>([(1,4),(1,5),(3,6),(4,6),(4,7),(5,3),(5,7),(7,2)],8)
[4,6,2,1,3,7,8,5]=>([(0,5),(1,5),(2,3),(2,6),(3,7),(5,6),(5,7),(7,4)],8)
[3,6,2,4,1,7,5,8]=>([(0,4),(1,6),(1,7),(2,3),(2,4),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[3,2,6,7,4,8,5,1]=>([(1,5),(1,6),(2,5),(2,6),(4,7),(5,4),(6,3),(6,7)],8)
[7,1,3,8,4,5,2,6]=>([(0,7),(1,3),(1,5),(2,6),(3,6),(4,2),(5,4),(5,7)],8)
[7,1,8,3,4,6,2,5]=>([(0,7),(1,3),(1,4),(1,7),(3,6),(4,5),(5,2),(5,6)],8)
[6,3,2,7,5,8,4,1]=>([(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(5,6),(7,6)],8)
[6,2,7,1,4,5,3,8]=>([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[4,2,6,1,5,7,3,8]=>([(0,5),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(4,3),(5,4),(6,3),(7,4)],8)
[2,5,4,1,3,6,7,8]=>([(0,6),(1,3),(1,4),(1,6),(3,7),(4,7),(5,2),(6,7),(7,5)],8)
[5,4,1,2,6,7,3,8]=>([(0,7),(1,7),(2,3),(3,5),(3,7),(4,6),(5,6),(7,4)],8)
[6,5,2,7,4,1,3,8]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[6,5,7,3,1,4,2,8]=>([(0,5),(1,5),(2,6),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[6,7,4,3,1,5,8,2]=>([(0,7),(1,7),(2,5),(3,4),(3,7),(5,6),(7,6)],8)
[3,1,6,7,8,4,5,2]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(5,3),(6,5),(7,2)],8)
[7,4,5,6,2,1,8,3]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,7)],8)
[6,4,5,2,7,1,8,3]=>([(0,7),(1,5),(1,7),(2,5),(2,6),(3,4),(4,7),(7,6)],8)
[3,7,5,6,2,1,8,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(3,5),(4,7),(5,7)],8)
[1,7,6,3,8,4,5,2]=>([(0,2),(0,3),(0,4),(0,6),(3,7),(4,7),(5,1),(6,5),(6,7)],8)
[6,4,1,2,7,8,3,5]=>([(0,7),(1,6),(1,7),(2,3),(3,5),(3,7),(5,6),(7,4)],8)
[6,4,1,3,5,2,7,8]=>([(0,7),(1,6),(2,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[5,1,8,3,4,6,2,7]=>([(0,6),(0,7),(1,2),(1,4),(1,7),(2,5),(3,6),(4,3),(6,5)],8)
[4,5,8,2,3,7,1,6]=>([(0,7),(1,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,3,4,8,2,5,1,6]=>([(0,5),(1,6),(2,7),(3,4),(4,6),(4,7),(7,5)],8)
[4,7,2,5,1,6,8,3]=>([(0,3),(0,7),(1,5),(1,7),(2,5),(2,6),(3,4),(6,4),(7,6)],8)
[6,5,4,7,2,8,3,1]=>([(1,7),(2,7),(3,7),(4,5),(4,6),(7,6)],8)
[3,2,4,6,5,8,1,7]=>([(0,7),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,3),(5,4)],8)
[3,5,4,8,7,1,6,2]=>([(0,4),(0,7),(1,2),(1,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7)],8)
[7,5,2,1,6,3,4,8]=>([(0,7),(1,6),(2,5),(2,6),(3,5),(3,6),(4,7),(5,4),(6,7)],8)
[6,3,1,7,4,2,5,8]=>([(0,7),(1,4),(1,7),(2,3),(2,4),(2,7),(3,6),(4,6),(6,5),(7,5)],8)
[8,7,2,1,5,3,6,4]=>([(2,5),(2,7),(3,5),(3,7),(5,6),(7,4),(7,6)],8)
[6,8,5,3,7,4,2,1]=>([(2,7),(3,6),(3,7),(4,5),(4,7)],8)
[7,2,8,1,5,6,4,3]=>([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(6,3)],8)
[8,3,6,4,1,5,7,2]=>([(1,4),(1,6),(2,3),(2,5),(3,7),(5,6),(6,7)],8)
[7,5,6,1,4,8,2,3]=>([(0,7),(1,5),(2,4),(2,6),(4,7),(5,7),(6,3)],8)
[5,7,2,6,3,8,4,1]=>([(1,3),(1,6),(2,4),(2,6),(3,7),(4,5),(4,7),(6,7)],8)
[8,4,1,2,3,6,7,5]=>([(1,6),(1,7),(2,4),(4,5),(5,6),(5,7),(7,3)],8)
[5,6,4,2,1,8,3,7]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(4,6),(4,7),(5,6)],8)
[6,8,1,3,2,7,5,4]=>([(0,4),(0,7),(1,2),(1,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7)],8)
[5,7,3,6,4,1,2,8]=>([(0,5),(1,4),(1,6),(2,3),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[7,2,4,3,8,1,5,6]=>([(0,7),(1,6),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[2,5,4,6,1,3,8,7]=>([(0,7),(1,2),(1,3),(1,7),(2,6),(3,6),(6,4),(6,5),(7,4),(7,5)],8)
[2,4,3,5,8,1,6,7]=>([(0,7),(1,3),(1,4),(3,6),(4,6),(6,5),(6,7),(7,2)],8)
[2,6,5,3,8,1,4,7]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[6,1,2,4,3,5,7,8]=>([(0,7),(1,5),(3,6),(4,6),(5,3),(5,4),(6,7),(7,2)],8)
[6,5,8,2,7,3,4,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5)],8)
[1,7,6,8,4,3,2,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[1,7,6,5,3,8,2,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(5,7)],8)
[6,1,2,4,3,5,8,7]=>([(0,6),(0,7),(1,4),(2,5),(3,5),(4,2),(4,3),(5,6),(5,7)],8)
[4,6,1,3,7,8,5,2]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(4,7),(5,7),(7,2)],8)
[8,4,1,5,2,6,7,3]=>([(1,6),(2,4),(2,6),(4,5),(4,7),(6,7),(7,3)],8)
[1,5,6,3,8,7,2,4]=>([(0,2),(0,3),(0,4),(1,6),(1,7),(2,5),(3,5),(3,6),(3,7),(4,1)],8)
[5,3,2,6,8,7,1,4]=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(7,4),(7,5)],8)
[6,3,5,2,7,1,4,8]=>([(0,7),(1,6),(2,6),(2,7),(3,4),(3,6),(4,7),(6,5),(7,5)],8)
[8,5,2,6,7,1,4,3]=>([(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(7,4)],8)
[5,3,8,7,1,4,2,6]=>([(0,4),(0,5),(0,7),(1,4),(1,5),(1,6),(2,3),(2,6),(3,7),(6,7)],8)
[6,4,5,3,1,8,7,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
[8,5,1,2,3,6,7,4]=>([(1,7),(2,5),(5,6),(6,3),(6,7),(7,4)],8)
[2,8,6,1,5,4,7,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(3,7),(5,7),(6,7)],8)
[8,3,2,6,1,5,7,4]=>([(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(7,5)],8)
[3,8,6,4,7,1,2,5]=>([(0,5),(1,2),(1,3),(1,4),(3,6),(4,6),(4,7),(5,7)],8)
[1,8,7,5,4,3,2,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(3,7),(4,7),(5,7),(6,7)],8)
[8,6,4,7,1,3,2,5]=>([(1,6),(2,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)
[3,1,4,7,6,2,5,8]=>([(0,6),(1,4),(1,6),(2,7),(3,7),(4,5),(5,7),(6,2),(6,3),(6,5)],8)
[5,3,4,1,6,2,7,8]=>([(0,7),(1,3),(2,4),(2,7),(3,7),(4,6),(6,5),(7,6)],8)
[2,7,1,4,6,3,5,8]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,7),(3,7),(4,7),(5,4),(6,2),(6,4)],8)
[7,3,1,6,5,2,4,8]=>([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,7),(5,7),(6,7)],8)
[7,1,5,2,4,6,3,8]=>([(0,7),(1,4),(1,5),(2,7),(3,6),(4,6),(5,2),(5,3),(6,7)],8)
[6,1,4,5,2,7,3,8]=>([(0,7),(1,4),(1,5),(2,7),(3,6),(4,2),(5,3),(5,7),(7,6)],8)
[6,1,5,8,2,7,4,3]=>([(0,6),(0,7),(1,4),(1,5),(4,6),(4,7),(5,2),(5,3),(5,7)],8)
[7,1,2,3,6,4,5,8]=>([(0,7),(1,5),(2,7),(3,7),(4,3),(5,6),(6,2),(6,4)],8)
[2,8,4,6,5,1,7,3]=>([(0,6),(0,7),(1,2),(1,5),(1,6),(3,7),(4,7),(5,3),(5,4)],8)
[7,4,1,3,6,5,2,8]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,7,2,8,1,3,6,4]=>([(0,6),(1,6),(1,7),(2,4),(2,5),(4,7),(6,3),(6,5)],8)
[5,4,1,2,6,3,8,7]=>([(0,7),(1,7),(2,3),(3,4),(3,7),(4,5),(4,6),(7,5),(7,6)],8)
[6,5,1,4,7,3,2,8]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(6,7)],8)
[2,7,8,4,1,3,6,5]=>([(0,7),(1,3),(1,4),(1,7),(3,5),(3,6),(4,2),(7,5),(7,6)],8)
[2,4,6,5,7,8,1,3]=>([(0,6),(1,5),(1,6),(3,7),(4,7),(5,3),(5,4),(7,2)],8)
[2,4,6,7,5,8,1,3]=>([(0,7),(1,5),(1,7),(2,6),(3,6),(4,3),(5,2),(5,4)],8)
[2,4,6,3,7,8,1,5]=>([(0,7),(1,3),(1,5),(2,6),(3,6),(3,7),(5,2),(5,7),(6,4)],8)
[2,4,5,6,8,7,1,3]=>([(0,7),(1,5),(1,7),(4,6),(5,4),(6,2),(6,3)],8)
[2,4,5,6,8,3,7,1]=>([(1,3),(1,5),(3,7),(4,6),(5,4),(6,2),(6,7)],8)
[2,4,5,6,3,8,1,7]=>([(0,7),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(4,2),(5,4)],8)
[2,3,4,6,8,5,1,7]=>([(0,7),(1,4),(3,7),(4,6),(5,2),(5,7),(6,3),(6,5)],8)
[5,2,8,3,4,1,6,7]=>([(0,7),(1,6),(1,7),(2,3),(2,6),(3,5),(5,7),(7,4)],8)
[3,6,4,1,2,7,8,5]=>([(0,5),(1,2),(1,4),(2,7),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[4,1,7,3,8,6,2,5]=>([(0,2),(0,3),(0,6),(1,5),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(6,4)],8)
[8,4,1,2,5,3,7,6]=>([(1,7),(2,3),(3,4),(3,7),(4,5),(4,6),(7,5),(7,6)],8)
[1,5,2,7,6,8,4,3]=>([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6),(5,7),(6,7)],8)
[4,7,6,8,3,1,2,5]=>([(0,7),(1,3),(2,4),(2,5),(2,7),(3,7),(4,6),(5,6)],8)
[4,8,2,7,6,5,1,3]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7)],8)
[7,4,2,8,6,5,1,3]=>([(0,7),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[8,6,5,2,7,1,4,3]=>([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7)],8)
[6,5,8,2,7,1,4,3]=>([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7)],8)
[7,5,8,2,1,6,4,3]=>([(0,4),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7)],8)
[3,2,1,6,5,8,4,7]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(5,4),(6,3),(6,4),(7,3),(7,4)],8)
[2,6,4,8,5,7,3,1]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(4,7),(5,3),(5,7)],8)
[6,3,1,4,5,8,2,7]=>([(0,6),(0,7),(1,5),(2,3),(2,5),(3,7),(4,6),(4,7),(5,4)],8)
[3,4,8,5,2,1,7,6]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(5,6),(5,7)],8)
[4,8,7,1,3,2,6,5]=>([(0,4),(0,5),(1,2),(1,3),(1,6),(1,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,7,4,6,1,3,2]=>([(0,7),(1,3),(1,4),(2,5),(2,6),(2,7)],8)
[3,4,1,8,7,6,2,5]=>([(0,3),(1,2),(1,4),(1,5),(1,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,3,5,6,8,7,2,4]=>([(0,3),(0,5),(3,7),(4,6),(5,4),(5,7),(6,1),(6,2)],8)
[2,8,7,5,4,1,6,3]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(4,7),(5,7)],8)
[8,1,5,7,4,2,6,3]=>([(1,4),(1,5),(1,6),(4,7),(5,3),(5,7),(6,2),(6,7)],8)
[5,8,7,3,4,1,6,2]=>([(0,6),(1,5),(1,7),(2,3),(2,4),(2,7),(6,7)],8)
[4,6,1,3,2,8,5,7]=>([(0,4),(0,7),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(7,5)],8)
[2,6,5,8,3,1,4,7]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
[6,7,8,2,4,5,3,1]=>([(1,7),(2,5),(2,6),(6,4),(7,3)],8)
[3,2,8,4,5,7,1,6]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(6,3)],8)
[6,1,8,2,4,5,3,7]=>([(0,6),(0,7),(1,5),(1,6),(2,7),(3,7),(4,3),(5,2),(5,4)],8)
[8,3,6,4,2,7,1,5]=>([(1,6),(2,6),(2,7),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[1,3,8,4,7,6,2,5]=>([(0,4),(0,6),(4,7),(5,2),(5,3),(5,7),(6,1),(6,5)],8)
[8,3,7,5,4,1,2,6]=>([(1,6),(2,3),(2,4),(2,5),(4,7),(5,7),(6,7)],8)
[2,6,4,7,8,5,1,3]=>([(0,6),(1,4),(1,5),(1,6),(4,7),(5,3),(5,7),(7,2)],8)
[5,4,3,7,6,1,8,2]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,3,7,1,4,2,5]=>([(1,5),(2,5),(2,6),(3,4),(3,6),(4,7),(6,7)],8)
[3,1,2,8,7,6,4,5]=>([(0,3),(1,4),(1,5),(1,6),(1,7),(3,4),(3,5),(3,6),(3,7),(7,2)],8)
[8,5,4,1,2,3,7,6]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)
[8,3,2,1,6,4,7,5]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4),(7,5)],8)
[2,3,8,4,1,7,5,6]=>([(0,6),(0,7),(1,5),(4,6),(4,7),(5,3),(5,4),(7,2)],8)
[4,6,1,3,2,7,8,5]=>([(0,5),(0,6),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(5,7),(7,2)],8)
[6,7,2,5,8,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,6),(4,7),(5,7)],8)
[4,1,7,8,2,5,6,3]=>([(0,6),(0,7),(1,5),(1,7),(5,2),(5,6),(6,3),(7,4)],8)
[3,4,6,7,1,5,8,2]=>([(0,5),(1,3),(1,7),(2,6),(4,2),(5,4),(5,7),(7,6)],8)
[3,4,5,7,8,1,6,2]=>([(0,6),(1,3),(1,7),(4,2),(5,4),(5,7),(6,5)],8)
[1,8,7,4,3,5,2,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,7),(4,6),(5,6),(6,7)],8)
[2,4,5,8,1,3,7,6]=>([(0,7),(1,3),(1,7),(3,4),(4,2),(4,5),(4,6),(7,5),(7,6)],8)
[2,7,8,6,5,3,1,4]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(5,7),(6,2)],8)
[6,3,1,5,8,4,2,7]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(5,7)],8)
[2,8,3,5,6,1,4,7]=>([(0,7),(1,2),(1,5),(3,6),(4,3),(5,4),(5,7),(7,6)],8)
[1,3,6,4,2,7,5,8]=>([(0,3),(0,4),(1,7),(2,5),(2,7),(3,5),(3,7),(4,1),(4,2),(5,6),(7,6)],8)
[2,3,7,5,8,1,4,6]=>([(0,7),(1,4),(2,5),(3,5),(3,6),(4,2),(4,3),(4,7),(7,6)],8)
[3,2,8,5,6,1,4,7]=>([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(5,3),(7,6)],8)
[7,2,5,8,1,4,6,3]=>([(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(7,4)],8)
[4,7,5,8,1,2,6,3]=>([(0,5),(1,3),(1,4),(3,6),(4,6),(4,7),(5,2),(5,7)],8)
[4,7,5,8,1,2,3,6]=>([(0,5),(1,3),(1,4),(2,6),(3,7),(4,6),(4,7),(5,2)],8)
[3,4,7,5,2,8,1,6]=>([(0,3),(1,6),(2,6),(2,7),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[4,3,2,5,7,8,1,6]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(7,4),(7,6)],8)
[2,4,7,5,8,3,1,6]=>([(0,7),(1,2),(1,5),(2,7),(3,6),(4,6),(4,7),(5,3),(5,4)],8)
[2,5,4,7,3,8,1,6]=>([(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[3,7,8,4,2,1,6,5]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(4,6),(4,7)],8)
[8,5,4,7,6,3,1,2]=>([(2,6),(2,7),(3,6),(3,7),(4,5)],8)
[1,5,4,8,7,6,2,3]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1)],8)
[3,2,4,5,8,1,6,7]=>([(0,7),(1,6),(2,6),(4,5),(4,7),(6,4),(7,3)],8)
[3,6,8,4,2,7,1,5]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,5,1,7,2,8,4]=>([(0,4),(0,7),(1,2),(1,3),(1,5),(2,7),(3,7),(4,5),(4,6),(7,6)],8)
[7,4,1,6,2,8,5,3]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(3,7),(5,7)],8)
[1,3,6,8,2,4,7,5]=>([(0,3),(0,5),(3,7),(4,2),(4,6),(5,4),(5,7),(7,1),(7,6)],8)
[1,6,7,4,3,8,2,5]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,1)],8)
[7,3,1,6,5,2,8,4]=>([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(3,7),(4,7),(5,7)],8)
[8,5,4,1,6,2,7,3]=>([(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(7,6)],8)
[4,7,2,8,5,1,6,3]=>([(0,3),(0,7),(1,4),(1,5),(2,5),(2,6),(2,7),(3,6),(7,4)],8)
[7,8,6,2,1,5,4,3]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4)],8)
[2,1,3,8,7,5,6,4]=>([(0,7),(1,7),(6,2),(7,3),(7,4),(7,5),(7,6)],8)
[8,1,7,3,6,5,2,4]=>([(1,4),(1,5),(1,6),(5,7),(6,2),(6,3),(6,7)],8)
[1,6,4,7,3,8,5,2]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,7),(4,5),(4,6),(6,7)],8)
[4,8,1,6,3,7,2,5]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(1,6),(2,7),(3,5),(3,7),(6,5)],8)
[8,5,4,1,6,3,7,2]=>([(1,7),(2,7),(3,4),(3,5),(3,7),(5,6),(7,6)],8)
[1,7,6,2,4,8,5,3]=>([(0,3),(0,4),(0,6),(3,7),(4,7),(5,2),(5,7),(6,1),(6,5)],8)
[5,7,3,2,4,8,6,1]=>([(1,5),(2,5),(3,4),(3,6),(4,7),(5,6),(5,7)],8)
[2,6,8,5,4,3,1,7]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,2),(6,7)],8)
[2,8,4,6,3,5,1,7]=>([(0,7),(1,2),(1,4),(1,5),(3,7),(4,6),(5,3),(5,6),(6,7)],8)
[2,7,8,3,6,4,5,1]=>([(1,6),(1,7),(5,4),(6,2),(7,3),(7,5)],8)
[3,8,1,4,6,5,2,7]=>([(0,5),(0,6),(1,4),(1,6),(2,7),(3,7),(5,7),(6,2),(6,3)],8)
[2,7,5,4,1,8,3,6]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6)],8)
[4,6,1,8,5,3,2,7]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,7),(3,7),(4,5),(4,7),(6,7)],8)
[3,8,5,2,1,6,4,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(4,7),(6,5),(7,5)],8)
[5,1,4,8,2,6,3,7]=>([(0,6),(0,7),(1,2),(1,4),(2,6),(2,7),(3,5),(4,3),(4,7),(7,5)],8)
[4,5,8,1,3,7,6,2]=>([(0,5),(1,3),(1,4),(4,6),(4,7),(5,2),(5,6),(5,7)],8)
[8,6,7,1,4,3,2,5]=>([(1,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[1,4,7,8,6,3,5,2]=>([(0,3),(0,4),(0,6),(4,7),(5,2),(6,1),(6,5),(6,7)],8)
[8,5,2,6,3,4,7,1]=>([(2,6),(3,4),(3,6),(4,5),(5,7),(6,7)],8)
[8,3,6,1,2,7,4,5]=>([(1,4),(2,3),(2,6),(3,7),(4,6),(4,7),(6,5)],8)
[3,8,6,1,2,5,7,4]=>([(0,4),(1,2),(1,3),(1,5),(1,6),(3,7),(4,5),(4,6),(6,7)],8)
[3,7,6,2,1,8,5,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7)],8)
[4,3,7,6,1,8,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(4,7),(5,7)],8)
[8,6,3,2,7,1,5,4]=>([(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,8,1,5,4,7,2,3]=>([(0,5),(0,7),(1,3),(1,4),(1,6),(3,7),(4,7),(6,2)],8)
[6,7,2,5,4,8,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,6),(3,7),(4,7),(5,7)],8)
[7,6,2,4,8,5,1,3]=>([(0,7),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7)],8)
[4,6,8,7,3,1,2,5]=>([(0,7),(1,5),(2,6),(2,7),(5,7),(6,3),(6,4)],8)
[4,7,5,2,6,3,8,1]=>([(1,4),(1,6),(2,3),(2,5),(3,7),(4,7),(5,6),(6,7)],8)
[3,5,6,2,8,1,4,7]=>([(0,7),(1,5),(1,7),(2,3),(2,7),(3,4),(4,5),(4,6),(7,6)],8)
[6,1,8,2,4,3,5,7]=>([(0,6),(0,7),(1,4),(1,7),(2,5),(3,5),(4,2),(4,3),(5,6)],8)
[1,6,8,2,5,3,4,7]=>([(0,5),(0,6),(2,7),(3,7),(4,3),(5,1),(5,7),(6,2),(6,4)],8)
[5,4,8,7,1,2,6,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(3,7)],8)
[2,5,6,4,3,8,1,7]=>([(0,7),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[8,7,3,5,1,4,6,2]=>([(2,4),(2,6),(3,5),(3,6),(5,7),(6,7)],8)
[8,6,3,5,2,1,4,7]=>([(1,7),(2,6),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,7,3,5,2,4,6,1]=>([(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,4,2,7,6,5,1,3]=>([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7)],8)
[4,6,3,8,5,2,7,1]=>([(1,7),(2,5),(2,6),(3,4),(3,5),(4,6),(4,7),(5,7)],8)
[4,1,3,8,5,6,2,7]=>([(0,6),(0,7),(1,2),(1,4),(2,6),(2,7),(3,5),(4,5),(7,3)],8)
[5,2,8,3,1,6,7,4]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,5),(3,6),(3,7),(7,4)],8)
[1,7,8,6,3,2,5,4]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(3,7),(4,6),(4,7),(5,1)],8)
[3,2,8,1,5,7,4,6]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(6,5),(7,3),(7,5)],8)
[3,4,6,7,2,1,5,8]=>([(0,3),(1,7),(2,7),(3,5),(3,7),(4,6),(5,4),(7,6)],8)
[2,6,7,1,4,3,8,5]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,7),(3,2),(5,4),(5,7),(6,4),(6,7)],8)
[4,2,5,3,8,6,7,1]=>([(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[3,2,7,4,8,5,6,1]=>([(1,5),(1,7),(2,5),(2,7),(3,4),(5,6),(7,3),(7,6)],8)
[7,2,5,1,6,3,8,4]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(5,7),(6,7)],8)
[5,8,2,7,4,6,3,1]=>([(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(5,7)],8)
[4,5,2,8,3,7,1,6]=>([(0,7),(1,4),(2,3),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,8,5,1,6,4,3,2]=>([(0,7),(1,6),(2,3),(2,4),(2,5),(2,7)],8)
[8,7,5,1,6,4,3,2]=>([(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[4,5,8,3,1,2,7,6]=>([(0,6),(0,7),(1,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,4,6,3,7,5,2,8]=>([(0,2),(0,3),(0,4),(1,5),(2,7),(3,5),(3,6),(4,1),(4,6),(5,7),(6,7)],8)
[1,7,6,3,8,5,2,4]=>([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,1),(5,6),(5,7)],8)
[1,3,8,7,4,5,6,2]=>([(0,4),(0,7),(5,6),(6,3),(7,1),(7,2),(7,5)],8)
[7,3,1,8,4,5,6,2]=>([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(4,5),(6,4)],8)
[3,2,8,7,4,5,6,1]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(7,3)],8)
[6,2,4,3,7,5,8,1]=>([(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[3,8,2,1,5,7,6,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(7,3),(7,4)],8)
[1,3,2,8,7,4,6,5]=>([(0,3),(0,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,1),(7,2)],8)
[7,5,2,8,3,1,6,4]=>([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,5),(4,7)],8)
[4,6,3,7,8,1,2,5]=>([(0,6),(0,7),(1,3),(2,4),(2,7),(3,7),(4,6),(6,5)],8)
[6,2,5,4,1,7,8,3]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(3,7),(4,7),(7,5)],8)
[4,1,5,6,3,8,7,2]=>([(0,7),(1,2),(1,4),(1,7),(3,5),(3,6),(4,5),(4,6),(7,3)],8)
[8,5,1,6,3,2,4,7]=>([(1,5),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[6,8,7,4,3,2,5,1]=>([(1,7),(2,7),(3,7),(4,5),(4,6)],8)
[8,1,5,4,6,7,3,2]=>([(1,2),(1,3),(1,4),(1,5),(4,7),(5,7),(7,6)],8)
[2,8,5,1,3,7,6,4]=>([(0,7),(1,3),(1,4),(1,7),(4,5),(4,6),(7,2),(7,5),(7,6)],8)
[2,4,5,8,3,7,6,1]=>([(1,3),(1,4),(3,6),(3,7),(4,5),(5,2),(5,6),(5,7)],8)
[5,6,4,1,8,2,7,3]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,5,1,3,8,7,2]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,3,5,4,8,2,7]=>([(0,6),(0,7),(1,2),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,3),(5,4)],8)
[1,3,8,7,2,5,6,4]=>([(0,4),(0,5),(4,6),(4,7),(5,2),(5,3),(5,6),(5,7),(7,1)],8)
[2,5,4,1,8,3,7,6]=>([(0,2),(0,3),(0,4),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7)],8)
[5,1,4,8,3,7,6,2]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,4,1,2,7,6,5,3]=>([(1,5),(1,6),(1,7),(2,3),(3,4),(3,5),(3,6),(3,7)],8)
[4,8,3,2,7,6,5,1]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,8,7,3,4,6,5,2]=>([(0,3),(0,4),(0,5),(0,6),(6,7),(7,1),(7,2)],8)
[5,3,1,2,4,6,8,7]=>([(0,7),(1,6),(2,3),(3,7),(6,4),(6,5),(7,6)],8)
[8,5,7,3,1,2,4,6]=>([(1,7),(2,5),(3,4),(3,6),(5,7),(7,6)],8)
[3,1,2,8,7,5,4,6]=>([(0,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3),(7,3)],8)
[1,4,3,8,5,7,2,6]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(3,7),(4,5),(4,7),(7,1),(7,6)],8)
[6,7,1,5,2,8,4,3]=>([(0,5),(1,4),(1,6),(4,7),(5,7),(6,2),(6,3),(6,7)],8)
[1,5,3,7,6,4,8,2]=>([(0,2),(0,3),(0,4),(1,7),(3,5),(3,6),(4,1),(4,5),(4,6),(5,7),(6,7)],8)
[4,8,1,3,6,2,7,5]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(2,6),(2,7),(3,5),(3,7),(6,5)],8)
[2,7,3,4,8,6,5,1]=>([(1,4),(1,5),(4,7),(5,6),(6,2),(6,3),(6,7)],8)
[1,8,2,4,7,3,6,5]=>([(0,3),(0,5),(2,6),(2,7),(4,1),(4,6),(4,7),(5,2),(5,4)],8)
[2,7,1,6,5,8,3,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,2)],8)
[6,2,3,8,1,5,7,4]=>([(0,3),(1,4),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[2,5,7,4,8,3,6,1]=>([(1,2),(1,4),(1,5),(2,7),(3,6),(4,6),(4,7),(5,3),(5,7)],8)
[8,5,6,2,4,7,1,3]=>([(1,6),(2,5),(3,4),(3,6),(4,7),(5,7)],8)
[8,1,5,7,3,6,4,2]=>([(1,4),(1,5),(1,6),(5,3),(5,7),(6,2),(6,7)],8)
[4,3,7,1,2,8,5,6]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(3,6),(3,7),(5,6),(7,4)],8)
[3,8,6,2,7,5,4,1]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(4,7)],8)
[4,8,1,6,2,5,3,7]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,7),(4,2),(4,5),(5,7),(6,7)],8)
[1,8,4,2,5,7,3,6]=>([(0,3),(0,4),(0,5),(2,6),(4,7),(5,2),(5,7),(7,1),(7,6)],8)
[5,8,3,1,2,4,6,7]=>([(0,7),(1,4),(2,3),(2,6),(4,7),(6,5),(7,6)],8)
[1,4,8,5,2,3,6,7]=>([(0,5),(0,6),(2,7),(3,7),(5,3),(6,1),(6,2),(7,4)],8)
[1,4,8,5,2,3,7,6]=>([(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,3),(5,1),(5,2)],8)
[7,1,4,2,6,8,3,5]=>([(0,7),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6),(6,7)],8)
[1,5,8,7,2,4,3,6]=>([(0,5),(0,6),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2),(6,7)],8)
[1,5,4,2,8,3,7,6]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,7)],8)
[1,2,8,7,3,5,4,6]=>([(0,6),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2),(6,5)],8)
[8,7,1,3,2,5,4,6]=>([(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[6,7,4,2,8,1,3,5]=>([(0,6),(0,7),(1,5),(2,5),(2,7),(3,4),(4,7),(5,6)],8)
[4,1,6,8,7,2,3,5]=>([(0,6),(0,7),(1,5),(1,7),(4,6),(5,4),(7,2),(7,3)],8)
[4,7,5,6,2,8,3,1]=>([(1,3),(1,7),(2,5),(2,6),(4,7),(5,7),(6,4)],8)
[8,4,3,6,7,5,2,1]=>([(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[6,7,5,2,8,4,3,1]=>([(1,7),(2,6),(3,4),(3,5),(3,7),(6,7)],8)
[6,8,4,3,2,7,5,1]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7)],8)
[6,1,7,3,5,8,2,4]=>([(0,7),(1,3),(1,4),(1,7),(2,5),(3,6),(4,2),(4,6),(7,5)],8)
[1,3,7,6,4,8,2,5]=>([(0,4),(0,5),(1,7),(2,7),(3,6),(3,7),(4,6),(5,1),(5,2),(5,3)],8)
[2,6,4,8,7,3,1,5]=>([(0,7),(1,2),(1,3),(1,4),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7)],8)
[2,1,8,7,3,5,4,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(3,4),(7,2),(7,3)],8)
[6,1,8,5,7,4,3,2]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(5,6)],8)
[8,5,1,4,7,6,3,2]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(5,6),(5,7)],8)
[8,1,3,7,2,4,6,5]=>([(1,3),(1,6),(3,7),(6,2),(6,7),(7,4),(7,5)],8)
[5,3,1,6,4,8,2,7]=>([(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(4,7),(6,5),(6,7)],8)
[2,5,6,7,1,4,8,3]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,5),(3,2),(4,3),(7,5)],8)
[4,7,5,3,2,8,1,6]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[4,7,5,2,8,6,1,3]=>([(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(3,7),(4,6),(4,7)],8)
[3,8,6,7,2,5,4,1]=>([(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(4,5)],8)
[5,8,1,2,7,4,3,6]=>([(0,5),(1,4),(1,6),(1,7),(2,7),(3,7),(5,2),(5,3),(5,6)],8)
[6,3,1,8,2,4,5,7]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,7),(3,6),(4,5),(6,4)],8)
[4,6,3,7,8,1,5,2]=>([(0,6),(0,7),(1,3),(1,7),(2,4),(2,7),(4,6),(6,5)],8)
[6,3,1,8,4,5,2,7]=>([(0,6),(0,7),(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(4,7),(5,4)],8)
[7,6,2,4,8,3,1,5]=>([(0,7),(1,6),(2,6),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[6,5,8,1,4,3,7,2]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(4,7),(5,7)],8)
[8,1,4,2,7,5,6,3]=>([(1,4),(1,5),(4,6),(4,7),(5,3),(5,6),(5,7),(7,2)],8)
[8,6,3,5,2,1,7,4]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[6,8,3,1,2,5,4,7]=>([(0,5),(0,6),(1,4),(2,3),(2,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,8,6,4,7,1,2,3]=>([(0,7),(1,6),(2,4),(2,5),(5,7),(6,3)],8)
[2,5,1,8,7,3,4,6]=>([(0,3),(0,7),(1,4),(1,5),(1,7),(2,6),(3,4),(3,5),(3,6),(7,2)],8)
[7,2,4,3,8,6,1,5]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,8,4,3,5,1,7,2]=>([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(6,7)],8)
[1,4,7,3,6,8,2,5]=>([(0,2),(0,3),(0,4),(1,6),(2,7),(3,5),(3,7),(4,1),(4,5),(4,7),(5,6)],8)
[3,7,1,4,6,8,2,5]=>([(0,3),(0,7),(1,4),(1,7),(2,5),(3,5),(4,6),(7,2),(7,6)],8)
[2,4,7,3,6,8,1,5]=>([(0,7),(1,3),(1,4),(2,6),(3,5),(3,7),(4,2),(4,5),(4,7),(5,6)],8)
[8,5,7,6,1,3,2,4]=>([(1,3),(1,4),(2,5),(2,6),(5,7),(6,7)],8)
[2,7,5,6,1,8,4,3]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,2)],8)
[1,2,6,7,4,5,8,3]=>([(0,6),(2,7),(3,7),(4,3),(5,2),(6,1),(6,4),(6,5)],8)
[6,5,2,8,7,1,4,3]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7)],8)
[7,2,3,6,8,1,4,5]=>([(0,7),(1,6),(2,4),(4,5),(4,7),(5,6),(7,3)],8)
[2,6,1,3,8,5,4,7]=>([(0,6),(1,4),(1,6),(2,7),(3,7),(4,5),(4,7),(6,2),(6,3),(6,5)],8)
[6,4,1,8,3,2,5,7]=>([(0,6),(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(7,5)],8)
[5,8,1,4,2,7,3,6]=>([(0,4),(0,6),(0,7),(1,3),(1,5),(2,6),(3,6),(3,7),(5,2),(5,7)],8)
[2,3,1,6,8,7,4,5]=>([(0,6),(0,7),(1,4),(4,6),(4,7),(6,5),(7,2),(7,3)],8)
[6,4,8,2,1,7,3,5]=>([(0,4),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(5,6)],8)
[2,3,1,8,7,5,6,4]=>([(0,3),(1,4),(1,5),(1,6),(1,7),(3,4),(3,5),(3,6),(3,7),(7,2)],8)
[1,5,6,7,2,4,3,8]=>([(0,5),(0,6),(1,7),(2,7),(3,7),(4,3),(5,4),(6,1),(6,2)],8)
[2,8,6,4,1,5,3,7]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(3,7),(4,5),(5,7),(6,7)],8)
[6,7,4,5,1,3,8,2]=>([(0,6),(1,5),(2,3),(2,4),(4,7),(5,7),(6,7)],8)
[1,6,5,3,8,2,4,7]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(4,6),(5,7)],8)
[5,6,1,2,4,8,3,7]=>([(0,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3)],8)
[8,7,4,5,1,3,2,6]=>([(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[8,5,1,2,7,4,3,6]=>([(1,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[4,1,8,7,2,5,3,6]=>([(0,3),(0,5),(0,6),(1,5),(1,6),(1,7),(2,4),(3,2),(3,7),(7,4)],8)
[3,2,4,6,1,8,7,5]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(7,3),(7,4)],8)
[3,6,7,4,1,2,5,8]=>([(0,4),(1,3),(1,5),(2,7),(3,6),(4,6),(5,2),(6,7)],8)
[1,4,7,5,8,2,3,6]=>([(0,4),(0,5),(1,6),(2,7),(3,6),(3,7),(4,2),(5,1),(5,3)],8)
[1,6,8,4,7,3,2,5]=>([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(4,7),(5,1),(5,6)],8)
[3,6,7,5,4,8,1,2]=>([(0,5),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(6,2)],8)
[4,5,7,2,6,3,8,1]=>([(1,4),(2,3),(2,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,1,5,7,4,6,8,3]=>([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(5,3),(6,5),(7,2),(7,5)],8)
[2,3,5,7,8,1,6,4]=>([(0,6),(0,7),(1,5),(3,2),(4,3),(4,6),(5,4),(5,7)],8)
[1,5,7,4,2,3,6,8]=>([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,1),(5,2),(5,7),(7,6)],8)
[2,4,7,5,3,6,8,1]=>([(1,4),(1,5),(2,7),(3,6),(4,6),(5,2),(5,3),(6,7)],8)
[8,1,7,2,4,6,3,5]=>([(1,3),(1,6),(4,7),(5,2),(5,7),(6,4),(6,5)],8)
[1,2,4,7,8,6,3,5]=>([(0,6),(3,7),(4,2),(5,1),(5,4),(5,7),(6,3),(6,5)],8)
[2,4,7,8,3,5,1,6]=>([(0,7),(1,3),(1,5),(3,6),(4,2),(5,4),(5,6),(6,7)],8)
[1,3,6,2,5,8,4,7]=>([(0,2),(0,3),(1,6),(1,7),(2,4),(2,5),(3,1),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[1,5,3,6,8,2,4,7]=>([(0,2),(0,3),(0,4),(2,7),(3,5),(4,5),(4,7),(5,6),(7,1),(7,6)],8)
[4,8,1,2,6,3,7,5]=>([(0,4),(1,3),(1,6),(1,7),(2,5),(2,6),(4,2),(4,7),(7,5)],8)
[5,8,1,2,6,3,7,4]=>([(0,5),(1,3),(1,7),(4,2),(4,6),(5,4),(5,7),(7,6)],8)
[1,6,2,3,7,5,8,4]=>([(0,3),(0,4),(2,7),(3,6),(4,5),(5,1),(5,2),(5,6),(6,7)],8)
[4,1,2,6,5,7,8,3]=>([(0,5),(0,6),(1,4),(4,3),(4,5),(4,6),(5,7),(6,7),(7,2)],8)
[1,8,4,2,7,3,6,5]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(3,5),(3,6),(3,7),(4,1),(4,7)],8)
[1,7,5,2,3,8,6,4]=>([(0,2),(0,3),(0,5),(2,7),(3,6),(3,7),(4,1),(4,6),(4,7),(5,4)],8)
[8,1,4,7,3,5,2,6]=>([(1,3),(1,4),(1,5),(3,7),(4,6),(5,2),(5,6),(6,7)],8)
[8,4,3,6,1,7,2,5]=>([(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)
[2,6,1,8,3,7,4,5]=>([(0,6),(0,7),(1,3),(1,7),(3,5),(3,6),(4,2),(7,4),(7,5)],8)
[8,4,2,1,3,7,5,6]=>([(1,6),(1,7),(2,5),(3,5),(5,6),(5,7),(7,4)],8)
[2,5,1,7,6,8,3,4]=>([(0,3),(0,5),(1,5),(1,6),(1,7),(3,6),(3,7),(5,2),(6,4),(7,4)],8)
[5,3,1,8,2,4,7,6]=>([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,7),(3,6),(6,4),(6,5)],8)
[1,2,6,3,7,5,8,4]=>([(0,5),(2,7),(3,6),(4,1),(4,2),(4,6),(5,3),(5,4),(6,7)],8)
[5,1,8,3,2,4,7,6]=>([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,7),(3,7),(7,4),(7,5)],8)
[3,1,5,4,6,7,8,2]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(4,2),(5,4),(6,5),(7,5)],8)
[2,8,5,7,3,1,4,6]=>([(0,7),(1,3),(1,4),(1,5),(4,7),(5,2),(5,6),(7,6)],8)
[2,6,8,7,3,1,4,5]=>([(0,7),(1,4),(1,6),(4,7),(6,2),(6,3),(7,5)],8)
[7,4,2,1,3,8,5,6]=>([(0,7),(1,6),(1,7),(2,5),(3,5),(5,6),(5,7),(6,4)],8)
[7,2,1,3,8,5,4,6]=>([(0,6),(1,6),(2,5),(3,7),(4,7),(6,3),(6,4),(6,5)],8)
[2,1,7,3,8,6,4,5]=>([(0,6),(0,7),(1,6),(1,7),(4,3),(6,5),(7,2),(7,4),(7,5)],8)
[1,7,5,3,2,4,8,6]=>([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8)
[1,4,2,7,6,5,8,3]=>([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[3,4,1,6,5,7,8,2]=>([(0,4),(1,3),(1,5),(1,6),(4,5),(4,6),(5,7),(6,7),(7,2)],8)
[2,8,7,3,4,1,5,6]=>([(0,7),(1,2),(1,3),(1,6),(4,7),(6,4),(7,5)],8)
[5,7,6,2,3,8,1,4]=>([(0,6),(1,5),(2,3),(2,4),(3,7),(4,7),(5,6),(5,7)],8)
[4,5,7,6,2,8,1,3]=>([(0,3),(1,6),(2,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)
[3,1,8,7,5,2,6,4]=>([(0,2),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(7,3)],8)
[4,5,6,8,7,2,1,3]=>([(0,7),(1,7),(2,5),(5,6),(6,3),(6,4)],8)
[2,8,3,1,5,4,7,6]=>([(0,2),(0,3),(1,6),(1,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[3,8,4,1,5,2,7,6]=>([(0,4),(0,7),(1,2),(1,3),(3,7),(4,5),(4,6),(7,5),(7,6)],8)
[1,8,6,2,4,3,7,5]=>([(0,3),(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(4,7),(5,1),(5,2)],8)
[4,8,3,1,6,2,7,5]=>([(0,6),(0,7),(1,4),(1,6),(2,3),(2,6),(2,7),(4,5),(4,7),(6,5)],8)
[2,8,3,1,6,4,7,5]=>([(0,6),(0,7),(1,3),(1,4),(4,6),(4,7),(6,5),(7,2),(7,5)],8)
[6,2,7,1,5,8,4,3]=>([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(6,3),(7,3)],8)
[4,8,5,1,3,2,6,7]=>([(0,4),(0,5),(1,3),(1,6),(4,7),(5,7),(6,7),(7,2)],8)
[5,4,3,1,2,7,6,8]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5),(7,5)],8)
[4,1,6,5,2,3,7,8]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(4,2),(5,7),(6,7),(7,3)],8)
[7,1,5,2,3,6,4,8]=>([(0,7),(1,3),(1,4),(2,7),(3,6),(4,5),(5,2),(5,6),(6,7)],8)
[4,1,6,3,7,2,5,8]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(2,7),(3,5),(3,7),(5,4),(6,5),(7,4)],8)
[4,6,1,2,8,3,7,5]=>([(0,3),(0,7),(1,4),(2,5),(2,7),(3,5),(3,6),(4,2),(4,6)],8)
[4,1,3,6,7,2,5,8]=>([(0,6),(0,7),(1,2),(1,3),(2,7),(3,6),(3,7),(4,5),(6,4),(7,5)],8)
[2,6,5,1,3,4,7,8]=>([(0,6),(1,2),(1,3),(1,6),(2,7),(3,7),(5,7),(6,5),(7,4)],8)
[2,6,7,4,3,1,5,8]=>([(0,7),(1,2),(1,3),(1,5),(2,7),(3,7),(4,6),(5,4),(7,6)],8)
[2,6,3,1,7,4,5,8]=>([(0,6),(0,7),(1,2),(1,3),(2,7),(3,6),(3,7),(4,5),(6,4),(7,5)],8)
[6,5,3,7,2,4,1,8]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
[2,3,6,7,1,5,4,8]=>([(0,5),(0,6),(1,4),(2,7),(3,2),(4,3),(4,5),(4,6),(5,7),(6,7)],8)
[2,7,5,8,1,3,6,4]=>([(0,7),(1,3),(1,4),(1,7),(3,5),(4,5),(4,6),(7,2),(7,6)],8)
[5,1,6,7,3,2,4,8]=>([(0,7),(1,3),(1,4),(1,7),(2,6),(3,5),(4,5),(5,6),(7,2)],8)
[5,6,1,4,7,2,3,8]=>([(0,4),(1,3),(1,5),(2,7),(3,6),(4,6),(5,2),(6,7)],8)
[1,2,5,7,8,6,3,4]=>([(0,7),(4,2),(5,3),(6,1),(6,5),(7,4),(7,6)],8)
[1,2,6,7,4,5,3,8]=>([(0,6),(1,7),(2,7),(3,7),(4,3),(5,2),(6,1),(6,4),(6,5)],8)
[1,2,7,8,4,6,3,5]=>([(0,6),(3,7),(4,2),(5,1),(5,7),(6,3),(6,4),(6,5)],8)
[8,6,5,2,1,7,4,3]=>([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,3,8,6,7,1,5,2]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,7),(6,3)],8)
[8,3,2,4,7,1,6,5]=>([(1,7),(2,7),(3,5),(3,6),(7,4),(7,5),(7,6)],8)
[7,3,2,8,6,1,5,4]=>([(0,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[7,5,8,2,6,1,4,3]=>([(0,7),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6)],8)
[5,6,8,2,7,4,1,3]=>([(0,6),(1,4),(2,3),(2,6),(2,7),(4,5),(4,7)],8)
[7,4,1,2,6,5,8,3]=>([(0,7),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[5,2,7,4,6,1,8,3]=>([(0,5),(0,6),(1,4),(1,7),(2,3),(2,4),(2,5),(3,6),(5,7),(6,7)],8)
[7,4,1,2,3,6,8,5]=>([(0,7),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6),(6,7)],8)
[5,4,8,6,3,2,1,7]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
[8,4,6,7,3,1,5,2]=>([(1,7),(2,4),(2,7),(3,5),(3,7),(5,6)],8)
[4,1,3,6,8,5,2,7]=>([(0,5),(0,6),(1,3),(1,4),(3,7),(4,5),(4,6),(5,7),(6,2),(6,7)],8)
[6,3,5,7,1,2,8,4]=>([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,7),(6,7)],8)
[1,8,5,3,2,4,6,7]=>([(0,2),(0,3),(0,4),(0,5),(3,7),(4,6),(5,6),(6,7),(7,1)],8)
[1,6,7,3,4,2,5,8]=>([(0,3),(0,4),(0,5),(1,7),(2,6),(3,6),(4,1),(5,2),(6,7)],8)
[1,6,8,3,4,2,5,7]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,2),(5,1),(5,7),(6,7)],8)
[1,8,7,5,3,4,2,6]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(4,7),(5,7),(6,1)],8)
[1,7,8,5,3,4,2,6]=>([(0,3),(0,4),(0,5),(0,6),(2,7),(3,7),(4,7),(5,1),(6,2)],8)
[1,7,6,8,4,2,3,5]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1)],8)
[1,7,8,6,4,3,2,5]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(3,7),(4,7),(5,7),(6,1)],8)
[5,1,7,8,4,2,3,6]=>([(0,6),(0,7),(1,3),(1,5),(1,6),(2,7),(3,7),(5,2),(6,4)],8)
[3,8,2,1,6,7,5,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[2,8,3,1,7,5,6,4]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(4,5),(4,6),(4,7),(7,2)],8)
[2,7,4,1,5,8,3,6]=>([(0,2),(0,3),(0,6),(1,6),(1,7),(2,5),(3,7),(6,4),(7,4),(7,5)],8)
[2,1,6,4,7,8,3,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,2),(5,3),(6,4),(7,3),(7,4)],8)
[5,7,8,3,4,2,1,6]=>([(0,7),(1,7),(2,5),(3,4),(3,7),(4,6),(5,7)],8)
[4,7,5,3,8,2,6,1]=>([(1,6),(2,6),(2,7),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[2,6,4,7,8,5,3,1]=>([(1,3),(1,4),(1,6),(4,7),(6,2),(6,7),(7,5)],8)
[7,8,4,5,6,1,3,2]=>([(0,6),(1,7),(2,4),(2,5),(7,3)],8)
[2,5,1,8,4,6,7,3]=>([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(3,4),(3,5),(5,2),(7,5)],8)
[6,5,8,3,4,2,1,7]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,7)],8)
[8,2,7,6,3,4,5,1]=>([(2,4),(2,5),(2,7),(6,3),(7,6)],8)
[6,8,7,3,2,1,4,5]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(7,6)],8)
[3,4,8,2,7,1,5,6]=>([(0,7),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)
[7,2,6,1,4,8,3,5]=>([(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(5,6),(5,7)],8)
[7,8,1,2,4,6,3,5]=>([(0,4),(1,6),(3,7),(5,2),(5,7),(6,3),(6,5)],8)
[7,2,8,3,4,5,1,6]=>([(0,7),(1,6),(2,3),(2,6),(3,5),(4,7),(5,4)],8)
[6,1,8,3,4,2,5,7]=>([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(3,5),(4,2),(5,6)],8)
[7,5,1,2,4,3,8,6]=>([(0,3),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,8,1,4,2,3,5]=>([(0,6),(1,6),(2,3),(2,4),(3,7),(4,5),(5,7)],8)
[2,4,3,7,8,5,6,1]=>([(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8)
[2,1,7,6,3,4,5,8]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,7),(4,7),(5,7),(6,2)],8)
[6,1,5,3,8,2,4,7]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(4,5),(4,6),(5,7)],8)
[2,3,6,8,5,1,7,4]=>([(0,6),(0,7),(1,5),(3,7),(4,2),(4,7),(5,3),(5,4),(5,6)],8)
[3,2,4,8,6,1,7,5]=>([(0,6),(1,6),(2,5),(2,7),(4,7),(6,3),(6,4),(6,5)],8)
[2,1,3,8,4,5,7,6]=>([(0,7),(1,7),(5,6),(6,2),(6,3),(7,4),(7,5)],8)
[3,1,2,8,5,4,7,6]=>([(0,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8)
[2,1,3,7,8,4,6,5]=>([(0,7),(1,7),(5,4),(6,2),(6,3),(7,5),(7,6)],8)
[2,1,3,8,4,7,6,5]=>([(0,7),(1,7),(6,2),(6,3),(6,4),(7,5),(7,6)],8)
[3,1,2,8,4,5,7,6]=>([(0,6),(0,7),(1,4),(4,6),(4,7),(5,2),(5,3),(7,5)],8)
[1,2,8,7,5,4,6,3]=>([(0,6),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4),(6,5)],8)
[4,6,7,2,3,8,1,5]=>([(0,7),(1,4),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6)],8)
[3,2,6,5,7,8,1,4]=>([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(4,6),(5,6),(6,3)],8)
[2,1,8,7,4,6,5,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(7,2),(7,3)],8)
[6,1,5,8,4,7,3,2]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(4,7),(5,6),(5,7)],8)
[1,4,6,8,5,7,2,3]=>([(0,5),(0,6),(3,7),(4,2),(4,7),(5,1),(6,3),(6,4)],8)
[2,8,5,1,6,4,3,7]=>([(0,2),(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(4,7),(5,7),(6,7)],8)
[2,4,7,1,8,3,6,5]=>([(0,3),(0,7),(1,6),(1,7),(2,6),(3,2),(3,4),(3,5),(7,4),(7,5)],8)
[6,1,5,4,2,3,8,7]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[6,4,5,1,2,8,3,7]=>([(0,6),(0,7),(1,3),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
[8,4,1,5,7,6,3,2]=>([(1,7),(2,3),(2,4),(2,7),(7,5),(7,6)],8)
[8,1,6,3,5,2,4,7]=>([(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(5,2),(5,6),(6,7)],8)
[4,6,2,5,3,8,1,7]=>([(0,7),(1,4),(1,5),(2,3),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,5,2,1,8,3,7]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6)],8)
[5,8,4,3,6,7,2,1]=>([(2,7),(3,7),(4,5),(4,7),(7,6)],8)
[6,8,2,1,5,3,4,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,7),(4,7),(5,7),(6,4)],8)
[2,5,3,8,6,7,4,1]=>([(1,4),(1,5),(4,6),(4,7),(5,3),(5,6),(5,7),(7,2)],8)
[3,2,6,5,1,8,4,7]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[7,4,5,8,1,6,2,3]=>([(0,7),(1,4),(2,3),(2,6),(3,5),(4,6),(4,7)],8)
[4,5,8,1,6,7,3,2]=>([(0,6),(1,3),(1,4),(1,7),(6,2),(6,7),(7,5)],8)
[5,1,8,4,6,7,3,2]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(5,7),(7,2)],8)
[6,5,3,8,1,7,2,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5)],8)
[8,3,7,1,6,2,4,5]=>([(1,4),(1,6),(2,3),(2,6),(2,7),(4,7),(7,5)],8)
[8,1,4,6,5,7,2,3]=>([(1,5),(1,6),(3,7),(4,7),(5,2),(6,3),(6,4)],8)
[8,1,7,5,6,4,2,3]=>([(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8)
[8,6,1,5,3,7,2,4]=>([(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(5,6),(5,7)],8)
[7,2,3,6,8,1,5,4]=>([(0,5),(1,6),(1,7),(2,3),(3,4),(3,6),(3,7),(4,5)],8)
[2,6,3,7,8,1,4,5]=>([(0,7),(1,3),(1,4),(3,6),(4,6),(4,7),(6,5),(7,2)],8)
[6,3,8,7,2,1,5,4]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7)],8)
[7,2,5,6,3,4,8,1]=>([(1,7),(2,5),(2,6),(3,7),(4,7),(5,4),(6,3)],8)
[7,2,8,6,3,1,5,4]=>([(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(4,6),(4,7)],8)
[7,2,4,5,8,6,3,1]=>([(1,7),(2,4),(2,5),(5,6),(6,3),(6,7)],8)
[6,3,8,4,7,2,5,1]=>([(1,6),(2,5),(2,7),(3,4),(3,5),(4,6),(4,7)],8)
[7,2,3,6,8,5,4,1]=>([(1,7),(2,6),(5,7),(6,3),(6,4),(6,5)],8)
[7,2,8,5,4,1,3,6]=>([(0,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(6,7)],8)
[7,4,5,2,8,1,6,3]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(4,6),(4,7)],8)
[7,5,4,2,8,1,6,3]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7)],8)
[7,6,3,2,8,4,5,1]=>([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[7,2,3,6,8,4,5,1]=>([(1,7),(2,6),(4,7),(5,3),(6,4),(6,5)],8)
[7,2,5,4,8,3,6,1]=>([(1,6),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,8,3,6,1,4,5]=>([(0,7),(1,6),(2,4),(2,6),(4,5),(4,7),(7,3)],8)
[7,4,5,2,8,3,6,1]=>([(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(5,7)],8)
[5,1,3,2,4,6,8,7]=>([(0,7),(1,4),(1,5),(4,6),(5,6),(6,7),(7,2),(7,3)],8)
[6,5,3,4,1,8,2,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(4,7),(5,6),(5,7)],8)
[6,4,5,3,8,1,2,7]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(3,5),(4,7),(5,6),(5,7)],8)
[7,2,4,6,3,8,5,1]=>([(1,7),(2,3),(2,4),(3,5),(3,6),(4,6),(4,7),(5,7)],8)
[2,8,3,7,6,1,5,4]=>([(0,6),(0,7),(1,4),(1,5),(5,2),(5,3),(5,6),(5,7)],8)
[5,4,2,6,8,7,3,1]=>([(1,7),(2,7),(3,4),(3,7),(7,5),(7,6)],8)
[3,7,2,5,8,6,4,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(6,3),(6,7)],8)
[4,6,5,3,8,1,7,2]=>([(0,6),(0,7),(1,3),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,8,7,6,1,5,3]=>([(0,6),(0,7),(1,5),(1,7),(5,2),(5,3),(5,4),(5,6)],8)
[3,2,8,7,4,6,5,1]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(7,3),(7,4)],8)
[8,2,6,5,1,4,3,7]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[4,8,5,2,7,6,3,1]=>([(1,4),(1,6),(1,7),(2,3),(2,5),(5,6),(5,7)],8)
[2,8,6,5,7,1,3,4]=>([(0,7),(1,3),(1,4),(1,5),(1,7),(4,6),(5,6),(7,2)],8)
[3,8,4,7,2,1,6,5]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(4,5),(4,6),(4,7)],8)
[4,8,5,1,7,6,3,2]=>([(0,2),(0,5),(1,3),(1,4),(1,6),(1,7),(5,6),(5,7)],8)
[5,8,1,7,6,2,3,4]=>([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(4,2),(5,4)],8)
[3,4,6,2,5,7,1,8]=>([(0,6),(1,7),(2,3),(3,4),(3,7),(4,5),(5,6),(7,5)],8)
[1,7,5,2,6,8,3,4]=>([(0,2),(0,3),(0,5),(2,7),(3,6),(4,1),(5,4),(5,6),(6,7)],8)
[7,4,8,3,6,5,1,2]=>([(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4)],8)
[1,5,4,3,8,7,2,6]=>([(0,1),(0,2),(0,3),(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,5,8,2,6,4,3,7]=>([(0,4),(0,5),(2,7),(3,7),(4,1),(4,6),(5,2),(5,3),(5,6),(6,7)],8)
[3,5,6,2,4,7,8,1]=>([(1,6),(2,4),(2,6),(4,5),(5,7),(6,7),(7,3)],8)
[3,5,6,7,2,4,8,1]=>([(1,6),(2,3),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[3,5,7,6,8,2,4,1]=>([(1,6),(2,3),(2,6),(3,4),(3,5),(4,7),(5,7)],8)
[3,5,7,2,6,8,4,1]=>([(1,5),(1,7),(2,3),(2,5),(3,4),(3,7),(4,6),(7,6)],8)
[3,5,2,7,6,8,4,1]=>([(1,3),(1,5),(2,5),(2,6),(2,7),(3,6),(3,7),(6,4),(7,4)],8)
[3,5,7,4,2,6,8,1]=>([(1,7),(2,3),(2,4),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[3,5,4,7,2,6,8,1]=>([(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[3,4,5,7,2,6,8,1]=>([(1,3),(2,6),(3,5),(4,7),(5,4),(5,6),(6,7)],8)
[3,4,5,7,2,8,6,1]=>([(1,3),(2,6),(2,7),(3,5),(4,6),(5,4),(5,7)],8)
[3,5,4,7,8,2,6,1]=>([(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[3,5,4,7,2,8,6,1]=>([(1,5),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[3,2,5,7,4,8,6,1]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(6,3),(6,4),(7,4),(7,5)],8)
[3,5,7,4,2,8,6,1]=>([(1,6),(1,7),(2,3),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
[3,5,7,8,4,2,6,1]=>([(1,7),(2,4),(2,6),(4,7),(5,3),(6,5),(6,7)],8)
[2,3,5,7,8,4,6,1]=>([(1,6),(3,7),(4,2),(5,4),(5,7),(6,3),(6,5)],8)
[3,5,2,7,8,6,4,1]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(7,3)],8)
[3,5,7,8,2,6,4,1]=>([(1,3),(1,6),(2,6),(2,7),(3,5),(3,7),(5,4)],8)
[3,5,7,8,6,2,4,1]=>([(1,7),(2,6),(2,7),(5,4),(6,3),(6,5)],8)
[4,2,5,6,7,3,8,1]=>([(1,6),(2,3),(2,6),(3,7),(4,5),(5,7),(6,4)],8)
[8,6,1,4,3,5,2,7]=>([(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(5,6),(6,7)],8)
[6,1,8,4,3,5,2,7]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,7),(3,5),(4,5),(5,7)],8)
[5,1,6,4,8,2,3,7]=>([(0,6),(1,3),(1,4),(1,6),(2,7),(3,5),(3,7),(4,2),(6,5),(6,7)],8)
[8,1,4,2,5,3,6,7]=>([(1,4),(1,5),(3,7),(4,6),(5,3),(5,6),(6,7),(7,2)],8)
[2,8,4,1,5,3,6,7]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(4,5),(5,7),(6,7),(7,2)],8)
[8,4,1,3,5,2,6,7]=>([(1,6),(2,4),(2,5),(4,7),(5,6),(6,7),(7,3)],8)
[4,1,8,3,5,2,6,7]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(3,7),(4,5),(5,7),(7,2)],8)
[8,3,1,2,5,4,6,7]=>([(1,6),(1,7),(2,4),(4,6),(4,7),(5,3),(6,5),(7,5)],8)
[3,1,8,2,5,4,6,7]=>([(0,3),(0,5),(1,5),(1,6),(1,7),(3,6),(3,7),(4,2),(6,4),(7,4)],8)
[4,2,5,1,8,7,6,3]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(7,3),(7,4),(7,5)],8)
[5,2,4,8,1,7,6,3]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7)],8)
[7,3,2,4,6,8,1,5]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(6,5)],8)
[1,4,8,6,7,2,5,3]=>([(0,5),(0,6),(4,3),(5,1),(5,7),(6,2),(6,4),(6,7)],8)
[1,4,5,7,3,8,2,6]=>([(0,2),(0,3),(0,5),(1,6),(2,7),(3,6),(3,7),(4,1),(4,7),(5,4)],8)
[4,6,8,1,2,5,3,7]=>([(0,5),(1,4),(1,6),(3,7),(4,2),(4,7),(5,3),(5,6),(6,7)],8)
[3,5,6,8,2,1,4,7]=>([(0,7),(1,7),(2,3),(2,7),(3,5),(5,4),(5,6),(7,6)],8)
[8,2,5,4,1,3,7,6]=>([(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,5,8,6,3,1,7]=>([(0,7),(1,4),(1,5),(3,7),(4,7),(5,6),(6,2),(6,3)],8)
[5,4,8,2,3,1,7,6]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,6),(4,7)],8)
[4,7,5,8,2,3,1,6]=>([(0,7),(1,3),(2,4),(2,5),(3,7),(4,6),(5,6),(5,7)],8)
[4,6,7,5,1,8,3,2]=>([(0,5),(0,6),(1,3),(1,4),(1,7),(2,7),(5,7),(6,2)],8)
[1,7,3,6,5,8,2,4]=>([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,6)],8)
[8,3,4,2,6,7,1,5]=>([(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5)],8)
[7,5,3,8,6,2,1,4]=>([(0,6),(1,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7)],8)
[7,3,1,8,2,6,5,4]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(3,6)],8)
[4,6,7,5,2,8,3,1]=>([(1,3),(1,7),(2,5),(2,6),(4,7),(5,7),(6,4)],8)
[5,8,7,2,4,3,1,6]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(5,7),(6,7)],8)
[5,1,2,8,6,7,3,4]=>([(0,6),(0,7),(1,5),(4,3),(5,4),(5,6),(5,7),(7,2)],8)
[2,5,7,8,6,1,4,3]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(5,2),(5,4)],8)
[7,2,6,8,4,5,1,3]=>([(0,7),(1,6),(2,3),(2,4),(2,6),(3,7),(4,5)],8)
[5,1,7,6,8,2,3,4]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(3,2),(4,3),(6,5),(7,5)],8)
[1,7,6,2,4,3,8,5]=>([(0,3),(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,7),(4,7),(5,1),(5,2)],8)
[7,1,6,2,4,5,3,8]=>([(0,7),(1,4),(1,6),(2,7),(3,7),(4,7),(5,3),(6,2),(6,5)],8)
[5,7,1,6,2,3,4,8]=>([(0,5),(0,6),(1,3),(1,6),(2,7),(3,7),(4,2),(5,4),(6,7)],8)
[6,2,5,8,3,4,1,7]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(4,6),(4,7),(5,7)],8)
[5,6,8,7,1,3,2,4]=>([(0,6),(1,4),(1,5),(4,7),(5,7),(6,2),(6,3)],8)
[1,5,3,4,8,2,6,7]=>([(0,3),(0,4),(0,5),(2,6),(2,7),(3,7),(4,6),(4,7),(5,2),(7,1)],8)
[2,1,3,6,5,8,4,7]=>([(0,6),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(6,2),(6,3),(6,4)],8)
[5,1,2,8,6,3,7,4]=>([(0,6),(0,7),(1,4),(3,2),(3,5),(4,3),(4,6),(4,7),(7,5)],8)
[6,1,5,7,8,4,2,3]=>([(0,7),(1,3),(1,4),(1,6),(4,7),(6,2),(7,5)],8)
[4,6,1,5,7,2,8,3]=>([(0,3),(0,7),(1,4),(1,7),(3,5),(4,2),(4,6),(5,6),(7,5)],8)
[2,5,8,4,6,3,7,1]=>([(1,3),(1,4),(1,5),(3,7),(4,6),(5,2),(5,6),(6,7)],8)
[4,3,7,1,2,6,8,5]=>([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(3,6),(3,7),(4,5),(7,5)],8)
[8,1,6,5,2,7,4,3]=>([(1,4),(1,5),(1,6),(4,7),(5,7),(6,2),(6,3),(6,7)],8)
[6,8,1,5,2,7,4,3]=>([(0,5),(0,7),(1,4),(1,6),(4,7),(6,2),(6,3),(6,7)],8)
[4,5,8,2,3,7,6,1]=>([(1,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,7,3,2,4,8,6,5]=>([(0,3),(0,4),(0,5),(3,7),(4,7),(5,6),(7,1),(7,2),(7,6)],8)
[4,3,1,8,2,6,7,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(7,3)],8)
[4,8,1,3,2,5,7,6]=>([(0,6),(0,7),(1,2),(1,3),(2,7),(3,7),(7,4),(7,5)],8)
[1,7,5,3,8,6,2,4]=>([(0,1),(0,2),(0,3),(0,4),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[2,5,3,8,1,4,7,6]=>([(0,2),(0,3),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(7,4),(7,5)],8)
[4,2,5,8,1,3,7,6]=>([(0,7),(1,6),(2,6),(2,7),(6,4),(6,5),(7,3),(7,4),(7,5)],8)
[8,1,2,4,3,5,7,6]=>([(1,6),(2,7),(3,7),(6,2),(6,3),(7,4),(7,5)],8)
[2,4,3,8,1,5,7,6]=>([(0,7),(1,4),(1,5),(4,6),(4,7),(5,6),(5,7),(7,2),(7,3)],8)
[3,1,7,4,8,6,5,2]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(6,5),(7,2),(7,3),(7,5)],8)
[6,4,5,3,2,8,7,1]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[2,7,3,8,5,1,6,4]=>([(0,6),(0,7),(1,2),(1,4),(2,5),(3,6),(4,3),(4,5),(4,7)],8)
[8,7,3,2,5,6,4,1]=>([(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[3,1,8,2,6,5,4,7]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7)],8)
[7,6,2,8,1,4,5,3]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(6,4)],8)
[2,3,8,4,1,5,7,6]=>([(0,7),(1,6),(3,7),(6,2),(6,3),(7,4),(7,5)],8)
[8,4,2,3,1,5,7,6]=>([(1,7),(2,7),(3,4),(4,7),(7,5),(7,6)],8)
[8,2,3,4,1,5,7,6]=>([(1,7),(2,6),(3,7),(6,3),(7,4),(7,5)],8)
[7,1,6,2,4,8,3,5]=>([(0,7),(1,2),(1,5),(2,7),(3,6),(4,6),(4,7),(5,3),(5,4)],8)
[2,7,8,1,4,3,6,5]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(3,2),(6,4),(6,5),(7,4),(7,5)],8)
[6,5,8,1,3,2,4,7]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(3,6),(4,6),(6,7)],8)
[2,1,8,5,3,4,6,7]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(3,4),(4,2),(6,3),(7,4)],8)
[8,4,1,3,2,5,6,7]=>([(1,7),(2,4),(2,5),(4,7),(5,7),(6,3),(7,6)],8)
[8,6,1,2,3,5,4,7]=>([(1,7),(2,5),(3,7),(4,7),(5,6),(6,3),(6,4)],8)
[7,8,1,5,2,4,6,3]=>([(0,5),(1,4),(1,6),(3,7),(4,7),(6,2),(6,3)],8)
[2,8,6,3,1,5,4,7]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,7,2,8,4,1,6,3]=>([(0,5),(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(3,6),(4,7)],8)
[2,5,6,3,8,1,4,7]=>([(0,7),(1,2),(1,4),(2,5),(2,7),(3,5),(3,6),(4,3),(7,6)],8)
[7,4,5,6,8,1,3,2]=>([(0,7),(1,6),(2,3),(2,4),(5,7),(6,5)],8)
[7,6,8,1,4,5,3,2]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(6,3)],8)
[7,5,1,8,4,6,3,2]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(5,6)],8)
[1,7,8,5,6,4,3,2]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(6,2),(7,1)],8)
[2,8,1,7,4,5,3,6]=>([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(3,4),(6,3),(7,4)],8)
[7,3,6,2,5,4,8,1]=>([(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,6,2,3,5,8,4,7]=>([(0,3),(0,4),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,1),(5,2)],8)
[1,8,5,6,4,3,7,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(4,7),(5,7),(6,1)],8)
[2,6,8,4,5,1,7,3]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(3,7),(4,3),(5,2),(5,7)],8)
[4,6,5,7,8,1,3,2]=>([(0,3),(0,4),(1,5),(1,6),(5,7),(6,7),(7,2)],8)
[2,5,8,6,4,7,1,3]=>([(0,7),(1,4),(1,5),(1,7),(3,6),(4,6),(5,2),(5,3)],8)
[5,3,2,1,7,8,4,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(6,5),(7,4)],8)
[8,4,1,3,6,7,2,5]=>([(1,6),(1,7),(2,3),(2,4),(3,7),(4,6),(4,7),(6,5)],8)
[1,6,5,3,8,4,7,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(3,7),(4,6),(4,7),(5,1),(5,7)],8)
[7,6,2,3,5,1,4,8]=>([(0,7),(1,7),(2,6),(3,4),(4,5),(4,6),(5,7),(6,7)],8)
[6,2,5,3,4,8,1,7]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,5,3,4,8,7,1]=>([(1,6),(1,7),(2,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,5,3,4,8,1,7]=>([(0,7),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[5,3,4,8,1,7,2,6]=>([(0,5),(0,6),(0,7),(1,4),(2,3),(2,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,1,3,4,8,7,2,6]=>([(0,5),(0,6),(0,7),(1,2),(1,4),(2,7),(3,5),(3,6),(3,7),(4,3)],8)
[1,5,3,4,8,7,2,6]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,7),(3,5),(3,6),(3,7),(4,1)],8)
[5,1,3,8,4,7,6,2]=>([(0,5),(0,6),(0,7),(1,2),(1,4),(3,5),(3,6),(4,3),(4,7)],8)
[5,3,8,1,4,7,6,2]=>([(0,3),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(7,4),(7,5)],8)
[4,3,5,8,1,7,6,2]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(7,3),(7,5),(7,6)],8)
[3,6,5,4,8,1,2,7]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[3,6,5,4,8,2,7,1]=>([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,2,4,8,7,6,1]=>([(1,7),(2,3),(2,7),(3,4),(3,5),(3,6),(7,4),(7,5),(7,6)],8)
[2,5,3,6,8,4,1,7]=>([(0,7),(1,3),(1,5),(2,7),(3,6),(5,2),(5,6),(6,4),(6,7)],8)
[4,6,2,5,1,7,8,3]=>([(0,5),(0,7),(1,5),(1,6),(2,3),(2,6),(3,7),(6,7),(7,4)],8)
[2,3,6,5,8,4,1,7]=>([(0,7),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3),(5,4)],8)
[2,3,1,7,4,8,6,5]=>([(0,6),(0,7),(1,4),(4,6),(4,7),(6,5),(7,2),(7,3),(7,5)],8)
[1,8,3,6,4,2,7,5]=>([(0,3),(0,4),(0,5),(1,7),(2,6),(2,7),(4,6),(4,7),(5,1),(5,2)],8)
[2,1,7,4,8,5,3,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(5,4),(6,3),(7,2),(7,3)],8)
[8,1,7,3,2,5,4,6]=>([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,8,5,2,6,4,3,1]=>([(1,7),(2,6),(3,4),(3,5),(3,7)],8)
[8,1,2,5,7,4,6,3]=>([(1,6),(4,7),(5,3),(5,7),(6,2),(6,4),(6,5)],8)
[8,2,5,3,6,1,4,7]=>([(1,6),(2,3),(2,4),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[6,8,7,4,1,5,2,3]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(6,3)],8)
[8,6,4,7,5,1,3,2]=>([(1,7),(2,6),(2,7),(3,4),(3,5)],8)
[6,1,2,4,7,8,3,5]=>([(0,7),(1,5),(3,6),(4,6),(4,7),(5,3),(5,4),(7,2)],8)
[2,4,6,5,7,1,8,3]=>([(0,6),(0,7),(1,4),(1,7),(2,5),(3,5),(4,2),(4,3),(5,6)],8)
[3,5,2,1,7,8,6,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(7,3)],8)
[4,2,7,8,6,5,1,3]=>([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(6,3)],8)
[1,2,7,8,6,4,5,3]=>([(0,7),(5,4),(6,3),(7,1),(7,2),(7,5),(7,6)],8)
[4,8,1,2,6,5,3,7]=>([(0,4),(1,3),(1,5),(1,6),(2,7),(4,2),(4,5),(4,6),(5,7),(6,7)],8)
[7,1,6,3,2,4,8,5]=>([(0,7),(1,2),(1,3),(1,4),(2,7),(3,6),(4,6),(6,5),(6,7)],8)
[6,4,8,1,2,3,7,5]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(4,6),(4,7)],8)
[7,4,1,3,6,8,5,2]=>([(0,5),(1,6),(1,7),(2,3),(2,4),(4,6),(4,7),(7,5)],8)
[7,1,8,3,2,6,5,4]=>([(0,7),(1,2),(1,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],8)
[7,2,5,1,6,4,3,8]=>([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,2,7,1,4,6,3,8]=>([(0,3),(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[6,3,8,5,7,1,4,2]=>([(0,6),(0,7),(1,3),(1,5),(2,4),(2,5),(2,6),(4,7)],8)
[2,4,3,8,5,7,1,6]=>([(0,6),(1,3),(1,4),(3,5),(3,7),(4,5),(4,7),(7,2),(7,6)],8)
[2,8,3,1,4,6,5,7]=>([(0,7),(1,2),(1,3),(3,7),(4,6),(5,6),(7,4),(7,5)],8)
[4,5,7,6,1,3,8,2]=>([(0,6),(1,2),(1,5),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[3,7,1,6,5,8,2,4]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,7),(3,4),(5,7),(6,7)],8)
[7,4,3,6,8,2,1,5]=>([(0,6),(1,7),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[3,8,5,4,7,6,1,2]=>([(0,5),(1,2),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7)],8)
[1,4,6,8,7,3,5,2]=>([(0,3),(0,4),(0,5),(4,7),(5,6),(5,7),(6,1),(6,2)],8)
[4,6,5,1,3,8,7,2]=>([(0,3),(0,4),(1,2),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,6,2,1,8,7,3]=>([(0,5),(1,5),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
[3,2,8,5,1,4,6,7]=>([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(5,6),(6,3),(7,6)],8)
[3,5,4,1,2,8,6,7]=>([(0,5),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(7,2)],8)
[5,3,8,1,4,2,6,7]=>([(0,5),(0,7),(1,5),(1,6),(2,3),(2,6),(3,7),(6,7),(7,4)],8)
[5,3,8,1,4,2,7,6]=>([(0,4),(0,6),(0,7),(1,4),(1,5),(2,3),(2,5),(3,6),(3,7),(5,6),(5,7)],8)
[1,4,7,5,8,6,2,3]=>([(0,5),(0,6),(3,7),(4,2),(4,7),(5,1),(6,3),(6,4)],8)
[8,5,7,6,3,4,1,2]=>([(1,5),(2,4),(3,6),(3,7)],8)
[7,5,2,6,1,4,8,3]=>([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[2,4,5,1,8,3,7,6]=>([(0,2),(0,7),(1,6),(1,7),(2,3),(3,4),(3,5),(3,6),(7,4),(7,5)],8)
[7,2,8,5,3,4,1,6]=>([(0,7),(1,6),(2,3),(2,4),(2,6),(3,5),(4,7),(5,7)],8)
[6,4,5,3,1,7,8,2]=>([(0,7),(1,7),(2,5),(3,4),(3,7),(5,7),(7,6)],8)
[7,3,5,6,4,1,8,2]=>([(0,7),(1,3),(1,7),(2,5),(2,6),(4,7),(5,7),(6,4)],8)
[2,5,6,3,4,1,8,7]=>([(0,6),(0,7),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,3),(5,2)],8)
[4,6,2,1,5,8,3,7]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(3,7),(4,7),(6,5),(6,7)],8)
[4,6,7,2,3,8,5,1]=>([(1,4),(2,3),(2,6),(3,5),(4,6),(4,7),(5,7)],8)
[2,3,5,8,7,4,1,6]=>([(0,7),(1,5),(4,7),(5,4),(5,6),(6,2),(6,3),(6,7)],8)
[2,3,5,8,7,4,6,1]=>([(1,5),(4,7),(5,4),(5,6),(6,2),(6,3),(6,7)],8)
[4,5,3,7,8,1,2,6]=>([(0,6),(0,7),(1,3),(2,4),(3,7),(4,6),(4,7),(6,5)],8)
[2,3,5,8,1,6,4,7]=>([(0,6),(0,7),(1,4),(3,2),(3,6),(4,3),(4,7),(6,5),(7,5)],8)
[1,7,4,5,8,3,6,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(3,7),(4,6),(5,1)],8)
[8,6,1,5,4,2,7,3]=>([(1,7),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3),(6,7)],8)
[2,8,5,6,3,1,4,7]=>([(0,7),(1,2),(1,3),(1,5),(3,7),(4,6),(5,4),(7,6)],8)
[4,8,2,6,1,5,7,3]=>([(0,4),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,7),(5,6),(7,6)],8)
[2,3,7,8,1,5,4,6]=>([(0,6),(0,7),(1,4),(3,2),(4,3),(4,6),(4,7),(6,5),(7,5)],8)
[5,2,6,7,8,3,1,4]=>([(0,7),(1,6),(2,3),(2,6),(3,7),(4,5),(6,4)],8)
[5,6,2,7,8,3,1,4]=>([(0,6),(1,3),(2,5),(2,7),(3,7),(5,6),(7,4)],8)
[2,3,7,5,8,4,6,1]=>([(1,5),(2,7),(3,6),(4,6),(4,7),(5,2),(5,3),(5,4)],8)
[3,7,8,5,1,4,6,2]=>([(0,4),(0,7),(1,3),(1,5),(1,7),(3,6),(5,2),(7,6)],8)
[2,5,6,7,1,8,4,3]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,5),(3,2),(4,3)],8)
[2,3,7,8,5,4,6,1]=>([(1,6),(3,7),(4,7),(5,2),(6,3),(6,4),(6,5)],8)
[6,4,7,8,1,2,5,3]=>([(0,6),(1,6),(1,7),(2,3),(3,5),(3,7),(6,4)],8)
[7,5,8,1,2,3,6,4]=>([(0,3),(1,6),(2,6),(2,7),(3,5),(5,4),(5,7)],8)
[1,2,8,7,4,6,5,3]=>([(0,7),(6,4),(6,5),(7,1),(7,2),(7,3),(7,6)],8)
[5,1,4,8,7,3,6,2]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(3,7),(4,5),(4,6),(4,7)],8)
[4,3,1,8,7,5,6,2]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[4,3,2,7,6,1,5,8]=>([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(7,6)],8)
[7,2,6,5,3,1,4,8]=>([(0,7),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(6,7)],8)
[1,3,7,6,2,4,8,5]=>([(0,4),(0,5),(1,7),(2,7),(4,6),(5,1),(5,2),(5,6),(6,3),(6,7)],8)
[1,3,8,2,7,4,6,5]=>([(0,4),(0,5),(4,6),(4,7),(5,3),(5,6),(5,7),(7,1),(7,2)],8)
[8,2,7,1,6,4,3,5]=>([(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(6,4),(7,4)],8)
[4,3,2,8,1,7,5,6]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[7,5,4,1,6,3,8,2]=>([(0,7),(1,6),(2,6),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[1,6,5,3,2,4,8,7]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8)
[1,7,3,5,2,4,8,6]=>([(0,2),(0,3),(0,4),(1,6),(1,7),(2,7),(3,5),(4,1),(4,5),(5,6),(5,7)],8)
[4,3,7,2,5,1,6,8]=>([(0,7),(1,5),(2,4),(2,7),(3,4),(3,7),(4,6),(5,6),(7,5)],8)
[5,1,4,3,2,6,8,7]=>([(0,7),(1,2),(1,3),(1,4),(2,7),(3,7),(4,7),(7,5),(7,6)],8)
[7,2,1,3,5,4,6,8]=>([(0,6),(1,6),(2,5),(3,7),(4,7),(6,3),(6,4),(7,5)],8)
[8,3,7,5,4,2,6,1]=>([(2,7),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[1,6,8,7,5,2,3,4]=>([(0,4),(0,6),(0,7),(5,3),(6,5),(7,1),(7,2)],8)
[1,3,6,2,5,4,8,7]=>([(0,2),(0,3),(1,6),(1,7),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,7,6,3,1,8,2]=>([(0,7),(1,6),(2,5),(2,7),(3,7),(4,7),(6,3),(6,4)],8)
[4,6,7,5,1,3,8,2]=>([(0,3),(0,4),(1,5),(1,6),(2,7),(4,7),(5,7),(6,2)],8)
[3,6,5,1,4,7,8,2]=>([(0,5),(0,6),(1,2),(1,3),(1,6),(2,7),(3,7),(6,7),(7,4)],8)
[4,6,7,3,1,5,8,2]=>([(0,7),(1,3),(1,7),(2,4),(2,7),(4,5),(5,6),(7,6)],8)
[5,4,1,8,7,3,6,2]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(4,7)],8)
[6,2,4,7,5,3,1,8]=>([(0,7),(1,6),(2,3),(2,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,2,5,1,8,7,3,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(3,6),(3,7),(5,4)],8)
[3,2,6,1,5,8,7,4]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(7,4),(7,5)],8)
[4,2,3,6,7,5,1,8]=>([(0,7),(1,5),(1,6),(2,4),(3,7),(4,5),(4,6),(5,7),(6,3)],8)
[6,2,3,5,7,4,1,8]=>([(0,3),(1,7),(2,6),(3,4),(3,5),(4,7),(5,6),(6,7)],8)
[1,6,3,8,4,7,2,5]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(3,6),(3,7),(4,1),(4,7)],8)
[8,1,5,2,4,7,3,6]=>([(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3)],8)
[7,5,8,1,4,2,3,6]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(3,5),(4,7),(5,7)],8)
[1,3,4,8,5,6,2,7]=>([(0,3),(0,5),(2,7),(3,7),(4,2),(5,6),(6,1),(6,4)],8)
[3,2,7,1,8,6,5,4]=>([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4)],8)
[6,2,4,1,5,7,8,3]=>([(0,6),(1,5),(1,7),(2,4),(2,5),(4,7),(6,3),(7,6)],8)
[5,8,4,1,3,6,7,2]=>([(0,7),(1,4),(1,7),(2,3),(2,5),(5,7),(7,6)],8)
[6,7,2,3,8,1,4,5]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(4,7),(6,5)],8)
[5,2,8,1,7,4,6,3]=>([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3)],8)
[2,5,4,7,3,1,8,6]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[4,6,3,1,2,5,7,8]=>([(0,7),(1,3),(2,4),(2,7),(3,7),(4,6),(6,5),(7,6)],8)
[7,4,6,8,3,1,2,5]=>([(0,7),(1,6),(2,4),(3,5),(3,7),(4,7),(5,6)],8)
[8,5,4,7,3,1,2,6]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,7)],8)
[7,3,2,1,5,4,8,6]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[2,5,6,4,8,1,3,7]=>([(0,6),(1,3),(1,4),(1,6),(2,5),(2,7),(3,5),(3,7),(4,2),(6,7)],8)
[5,4,1,6,2,3,7,8]=>([(0,7),(1,7),(2,3),(2,7),(3,5),(5,6),(6,4),(7,6)],8)
[1,3,6,5,2,4,7,8]=>([(0,4),(0,5),(1,7),(2,7),(4,6),(5,1),(5,2),(5,6),(6,7),(7,3)],8)
[5,4,1,2,7,6,3,8]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,4),(3,6),(3,7),(4,5),(6,5),(7,5)],8)
[5,8,7,3,1,2,4,6]=>([(0,7),(1,5),(2,3),(2,4),(2,6),(5,7),(7,6)],8)
[2,7,8,1,4,5,3,6]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(3,5),(4,2),(6,5),(7,3)],8)
[4,1,2,8,7,3,6,5]=>([(0,3),(1,4),(1,5),(1,6),(1,7),(2,6),(2,7),(3,2),(3,4),(3,5)],8)
[6,1,2,4,3,8,7,5]=>([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,2),(4,3)],8)
[3,7,8,1,2,4,6,5]=>([(0,5),(1,6),(1,7),(5,7),(6,2),(7,3),(7,4)],8)
[7,3,4,1,2,6,8,5]=>([(0,5),(1,4),(2,3),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[8,4,3,1,2,6,5,7]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5),(7,5)],8)
[3,8,2,7,4,5,1,6]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(2,6),(4,7),(6,4)],8)
[8,6,2,3,5,4,1,7]=>([(1,4),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,2,6,1,3,5,4,7]=>([(1,6),(2,3),(2,6),(3,7),(4,7),(5,7),(6,4),(6,5)],8)
[8,4,3,7,2,5,6,1]=>([(2,7),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[8,3,1,7,4,5,2,6]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(6,3)],8)
[8,2,4,5,1,7,3,6]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(4,6),(4,7),(5,7)],8)
[6,8,2,4,5,1,7,3]=>([(0,6),(0,7),(1,3),(1,7),(2,4),(2,6),(4,5),(5,7)],8)
[4,3,8,1,7,5,6,2]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(7,3)],8)
[8,4,3,7,1,5,6,2]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(7,5)],8)
[8,3,4,7,2,6,5,1]=>([(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[8,1,3,7,6,4,5,2]=>([(1,5),(1,7),(6,4),(7,2),(7,3),(7,6)],8)
[8,3,7,1,4,5,6,2]=>([(1,5),(1,7),(2,4),(2,7),(6,3),(7,6)],8)
[8,7,3,6,1,2,5,4]=>([(2,5),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
[8,3,7,6,2,4,5,1]=>([(2,7),(3,4),(3,5),(3,7),(7,6)],8)
[8,7,2,3,6,1,5,4]=>([(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[8,2,7,1,3,4,6,5]=>([(1,7),(2,5),(2,7),(6,3),(6,4),(7,6)],8)
[5,1,8,4,2,3,7,6]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,2)],8)
[8,2,4,7,3,1,6,5]=>([(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,2,7,6,3,1,4,5]=>([(1,7),(2,3),(2,4),(2,5),(5,7),(7,6)],8)
[6,8,1,4,7,3,2,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,7),(3,7),(4,6),(4,7)],8)
[8,5,7,2,6,3,1,4]=>([(1,7),(2,4),(2,6),(3,5),(3,6),(5,7)],8)
[5,8,2,7,3,1,6,4]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,5),(2,7),(4,6),(4,7)],8)
[8,1,2,6,7,5,4,3]=>([(1,7),(6,5),(7,2),(7,3),(7,4),(7,6)],8)
[8,4,1,7,5,6,2,3]=>([(1,6),(1,7),(2,4),(2,6),(2,7),(4,5),(7,3)],8)
[8,2,4,7,6,5,1,3]=>([(1,7),(2,6),(2,7),(6,3),(6,4),(6,5)],8)
[8,2,7,6,4,5,1,3]=>([(1,7),(2,4),(2,5),(2,6),(2,7),(6,3)],8)
[8,4,7,2,3,6,5,1]=>([(2,5),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
[8,2,4,7,3,6,5,1]=>([(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,1,7,6,4,5,2,3]=>([(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8)
[8,1,2,7,6,4,5,3]=>([(1,7),(6,5),(7,2),(7,3),(7,4),(7,6)],8)
[8,1,4,7,3,6,5,2]=>([(1,3),(1,4),(1,5),(4,6),(4,7),(5,2),(5,6),(5,7)],8)
[2,8,1,5,3,7,6,4]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(6,4),(6,5),(7,2),(7,4),(7,5)],8)
[1,8,2,4,7,5,6,3]=>([(0,4),(0,7),(5,3),(6,2),(6,5),(7,1),(7,6)],8)
[2,3,8,4,7,1,6,5]=>([(0,6),(0,7),(1,5),(4,3),(4,6),(4,7),(5,2),(5,4)],8)
[1,8,2,3,5,6,4,7]=>([(0,3),(0,5),(1,7),(2,7),(4,2),(5,6),(6,1),(6,4)],8)
[1,4,7,6,2,3,5,8]=>([(0,4),(0,5),(1,7),(2,7),(3,6),(4,3),(5,1),(5,2),(5,6),(6,7)],8)
[1,7,6,2,3,8,4,5]=>([(0,2),(0,3),(0,6),(2,7),(3,7),(4,1),(5,4),(5,7),(6,5)],8)
[1,8,2,3,7,6,4,5]=>([(0,4),(0,6),(5,3),(6,7),(7,1),(7,2),(7,5)],8)
[1,7,3,8,6,2,5,4]=>([(0,2),(0,3),(0,4),(2,5),(3,6),(3,7),(4,1),(4,5),(4,6),(4,7)],8)
[5,8,2,3,7,4,1,6]=>([(0,7),(1,4),(2,3),(2,6),(2,7),(4,5),(4,6),(5,7)],8)
[4,2,8,3,7,6,1,5]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7)],8)
[1,3,5,6,4,8,2,7]=>([(0,3),(0,5),(1,6),(1,7),(2,6),(2,7),(3,7),(4,2),(5,1),(5,4)],8)
[4,6,1,8,2,7,5,3]=>([(0,3),(0,7),(1,4),(1,6),(3,5),(3,6),(4,2),(4,5),(4,7)],8)
[3,4,8,5,6,1,2,7]=>([(0,4),(1,6),(3,7),(4,7),(5,3),(6,2),(6,5)],8)
[1,7,6,2,5,4,8,3]=>([(0,4),(0,5),(0,6),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3)],8)
[5,6,1,7,4,3,8,2]=>([(0,5),(1,2),(1,3),(1,4),(1,6),(3,7),(4,7),(5,6),(6,7)],8)
[3,7,2,1,5,6,8,4]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(4,5),(7,3)],8)
[3,1,5,6,4,2,7,8]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,7),(3,7),(5,7),(6,2),(7,4)],8)
[8,1,6,4,3,5,2,7]=>([(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[2,1,6,5,3,8,7,4]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,6),(5,7)],8)
[3,7,5,6,4,2,1,8]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[6,1,4,3,7,5,8,2]=>([(0,7),(1,2),(1,3),(1,4),(3,5),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[3,8,6,4,5,2,7,1]=>([(1,7),(2,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)
[4,5,8,6,2,3,7,1]=>([(1,5),(2,6),(4,7),(5,7),(6,3),(6,4)],8)
[4,6,8,5,3,7,2,1]=>([(2,7),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[4,5,7,2,8,6,3,1]=>([(1,4),(2,3),(2,6),(2,7),(4,5),(4,7),(5,6)],8)
[3,7,4,5,1,6,8,2]=>([(0,4),(0,7),(1,3),(1,5),(2,7),(3,6),(5,2),(7,6)],8)
[4,6,8,1,2,5,7,3]=>([(0,5),(0,7),(1,4),(4,3),(4,7),(5,2),(5,6),(7,6)],8)
[4,6,8,5,1,3,7,2]=>([(0,3),(0,4),(1,5),(1,6),(4,7),(5,7),(6,2),(6,7)],8)
[3,7,4,5,2,8,6,1]=>([(1,6),(1,7),(2,3),(2,4),(3,5),(4,7),(5,6),(5,7)],8)
[3,7,8,4,6,1,5,2]=>([(0,4),(0,7),(1,5),(1,6),(5,3),(6,2),(6,7)],8)
[4,5,7,2,1,6,8,3]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(3,4),(3,7),(4,6),(7,6)],8)
[4,5,1,6,8,3,7,2]=>([(0,5),(1,3),(1,4),(1,7),(4,6),(5,7),(7,2),(7,6)],8)
[8,3,5,4,6,1,2,7]=>([(1,5),(2,3),(2,4),(3,7),(4,7),(5,6),(7,6)],8)
[1,7,4,5,2,6,8,3]=>([(0,3),(0,4),(0,5),(2,6),(3,7),(4,2),(5,1),(5,6),(6,7)],8)
[1,4,2,6,5,3,8,7]=>([(0,2),(0,3),(1,6),(1,7),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,5,8,4,6,2,7]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(3,4),(5,4),(6,5),(7,2),(7,5)],8)
[8,2,6,3,4,1,5,7]=>([(1,6),(2,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[4,6,5,8,2,1,3,7]=>([(0,5),(1,5),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[1,4,8,3,5,6,2,7]=>([(0,3),(0,4),(0,5),(2,6),(3,7),(4,6),(5,1),(5,7),(7,2)],8)
[1,8,7,4,2,3,6,5]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(4,6),(4,7),(5,1)],8)
[4,3,1,8,5,7,2,6]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(4,5),(7,3),(7,5)],8)
[7,3,2,4,8,1,6,5]=>([(0,4),(1,4),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7)],8)
[3,7,2,4,5,8,1,6]=>([(0,6),(1,5),(2,3),(2,5),(3,7),(4,6),(4,7),(5,4)],8)
[3,2,7,4,6,1,8,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,7),(3,7),(5,7),(6,3),(6,4)],8)
[8,3,2,4,6,1,7,5]=>([(1,6),(2,6),(3,5),(3,7),(4,7),(6,4),(6,5)],8)
[8,3,2,4,5,7,1,6]=>([(1,7),(2,6),(3,6),(4,5),(4,7),(6,4)],8)
[7,4,6,2,1,3,8,5]=>([(0,7),(1,5),(2,5),(3,4),(3,6),(4,7),(5,6),(5,7)],8)
[3,6,7,2,4,1,8,5]=>([(0,6),(0,7),(1,5),(2,3),(2,5),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,7,2,3,5,6,1]=>([(2,5),(3,4),(3,7),(5,7),(7,6)],8)
[3,8,6,7,1,5,4,2]=>([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(5,2)],8)
[4,3,2,8,6,1,5,7]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[4,1,6,3,2,5,7,8]=>([(0,5),(0,7),(1,3),(1,4),(1,5),(3,7),(4,7),(5,6),(6,2),(7,6)],8)
[5,7,1,8,4,3,6,2]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(3,7),(4,7),(5,6)],8)
[5,4,8,7,6,2,3,1]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4)],8)
[8,4,6,3,1,5,2,7]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[3,6,1,5,2,4,7,8]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(3,7),(4,5),(5,7),(6,7),(7,2)],8)
[3,7,6,2,5,4,1,8]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[2,7,1,5,3,4,6,8]=>([(0,5),(0,7),(1,3),(1,5),(1,7),(2,6),(3,4),(5,2),(6,4),(7,6)],8)
[8,4,5,1,2,7,6,3]=>([(1,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,2,3,8,7,1,6,4]=>([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(3,5),(3,6),(3,7)],8)
[7,5,2,4,1,3,8,6]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,6,8,5,1,3,4]=>([(0,7),(1,6),(2,3),(2,4),(2,6),(4,7),(6,5)],8)
[8,6,5,4,1,3,7,2]=>([(1,7),(2,7),(3,7),(4,5),(4,6),(6,7)],8)
[8,2,3,4,1,6,7,5]=>([(1,6),(1,7),(2,4),(4,5),(5,6),(5,7),(7,3)],8)
[7,4,3,8,1,6,5,2]=>([(0,5),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)
[6,5,1,4,3,8,7,2]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,6,2,5,8,1,3]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(6,7)],8)
[6,3,2,4,5,8,1,7]=>([(0,7),(1,6),(1,7),(2,5),(3,5),(4,6),(4,7),(5,4)],8)
[2,6,4,5,8,3,1,7]=>([(0,7),(1,2),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,3)],8)
[3,7,4,8,6,2,5,1]=>([(1,6),(2,3),(2,4),(3,7),(4,5),(4,6),(4,7)],8)
[7,3,5,2,8,1,4,6]=>([(0,7),(1,6),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(6,5)],8)
[1,5,8,7,4,2,3,6]=>([(0,4),(0,5),(0,6),(3,7),(4,7),(5,3),(6,1),(6,2),(6,7)],8)
[1,7,2,4,5,8,6,3]=>([(0,3),(0,6),(3,7),(4,5),(5,1),(5,7),(6,2),(6,4)],8)
[1,4,6,8,7,2,5,3]=>([(0,4),(0,5),(4,3),(4,7),(5,6),(5,7),(6,1),(6,2)],8)
[1,6,2,7,5,3,4,8]=>([(0,3),(0,5),(1,7),(2,7),(3,6),(4,2),(5,1),(5,4),(5,6),(6,7)],8)
[1,3,7,2,6,4,5,8]=>([(0,3),(0,4),(1,7),(2,7),(3,5),(3,6),(4,2),(4,5),(4,6),(5,7),(6,1)],8)
[1,7,3,2,8,5,6,4]=>([(0,2),(0,3),(0,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,1)],8)
[1,6,5,2,4,8,3,7]=>([(0,3),(0,4),(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2)],8)
[1,7,3,8,4,2,5,6]=>([(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,2),(5,6),(7,1)],8)
[1,6,2,4,7,5,8,3]=>([(0,3),(0,5),(2,7),(3,6),(4,2),(4,6),(5,1),(5,4),(6,7)],8)
[1,6,2,7,4,3,8,5]=>([(0,3),(0,4),(1,5),(1,7),(2,5),(2,7),(3,6),(4,1),(4,2),(4,6),(6,7)],8)
[1,5,8,2,3,6,4,7]=>([(0,4),(0,5),(2,7),(3,2),(3,6),(4,3),(5,1),(5,6),(6,7)],8)
[2,5,3,6,7,1,4,8]=>([(0,6),(1,2),(1,3),(2,7),(3,6),(3,7),(4,5),(6,5),(7,4)],8)
[6,4,1,5,7,2,3,8]=>([(0,5),(1,7),(2,3),(2,5),(3,4),(4,6),(5,7),(7,6)],8)
[6,4,1,5,7,3,8,2]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(4,7),(5,6),(6,7)],8)
[1,2,7,3,8,5,6,4]=>([(0,6),(3,7),(4,2),(5,1),(5,4),(5,7),(6,3),(6,5)],8)
[7,4,1,6,3,8,2,5]=>([(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6)],8)
[1,5,7,4,3,8,6,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(3,7),(4,6),(4,7),(5,1),(5,7)],8)
[2,7,3,1,4,5,8,6]=>([(0,7),(1,3),(1,4),(3,7),(4,6),(5,2),(5,6),(7,5)],8)
[6,5,8,3,2,7,1,4]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7)],8)
[8,4,3,1,7,6,5,2]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,2,6,7,5,3,4,8]=>([(0,6),(1,7),(2,7),(3,7),(4,3),(5,2),(6,1),(6,4),(6,5)],8)
[3,4,5,6,8,2,7,1]=>([(1,7),(2,5),(4,6),(5,4),(6,3),(6,7)],8)
[7,2,1,4,5,6,3,8]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(4,7),(5,7),(6,3)],8)
[1,5,6,7,3,4,2,8]=>([(0,3),(0,5),(0,6),(1,7),(2,7),(3,7),(4,1),(5,2),(6,4)],8)
[4,6,8,5,2,1,7,3]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,7),(4,5),(4,7)],8)
[1,6,7,8,2,4,5,3]=>([(0,6),(0,7),(4,2),(5,3),(6,4),(7,1),(7,5)],8)
[5,7,8,3,2,4,6,1]=>([(1,6),(2,6),(3,4),(3,7),(4,5),(6,7)],8)
[5,7,8,2,3,1,6,4]=>([(0,6),(0,7),(1,4),(2,3),(2,7),(3,5),(4,6),(4,7)],8)
[4,5,2,7,8,6,1,3]=>([(0,5),(1,5),(1,6),(1,7),(2,4),(4,6),(4,7),(7,3)],8)
[1,3,5,8,7,2,6,4]=>([(0,3),(0,4),(3,6),(3,7),(4,5),(4,7),(5,1),(5,2),(5,6)],8)
[6,4,1,8,5,7,3,2]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(5,6)],8)
[4,1,3,8,7,5,2,6]=>([(0,2),(0,3),(1,4),(1,5),(1,7),(2,6),(3,4),(3,5),(3,7),(7,6)],8)
[8,5,1,6,7,2,4,3]=>([(1,7),(2,6),(2,7),(6,3),(6,4),(7,5)],8)
[3,6,7,2,1,5,8,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(4,5),(7,5)],8)
[2,5,6,1,3,8,7,4]=>([(0,7),(1,4),(1,7),(3,5),(3,6),(4,3),(7,2),(7,5),(7,6)],8)
[7,2,5,6,1,3,8,4]=>([(0,7),(1,6),(2,3),(2,6),(3,5),(5,7),(6,4),(6,7)],8)
[6,4,1,2,5,8,3,7]=>([(0,6),(1,5),(1,7),(2,3),(3,4),(3,6),(4,7),(6,5),(6,7)],8)
[4,7,3,5,2,6,8,1]=>([(1,6),(2,5),(3,4),(3,5),(4,7),(5,6),(6,7)],8)
[2,3,5,4,7,1,8,6]=>([(0,6),(0,7),(1,4),(2,5),(2,7),(3,5),(3,7),(4,2),(4,3),(5,6)],8)
[6,8,4,1,5,7,3,2]=>([(0,6),(1,5),(1,7),(2,3),(2,4),(2,6),(6,7)],8)
[8,1,6,2,3,7,5,4]=>([(1,4),(1,5),(4,7),(5,6),(6,2),(6,3),(6,7)],8)
[2,8,3,6,4,1,7,5]=>([(0,6),(0,7),(1,2),(1,5),(3,7),(4,6),(4,7),(5,3),(5,4)],8)
[6,5,3,4,8,2,1,7]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[5,4,8,7,3,6,2,1]=>([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,2,7,6,8,3,4,1]=>([(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(5,7),(6,7)],8)
[8,4,5,2,7,3,6,1]=>([(2,5),(3,4),(3,6),(4,7),(5,6),(5,7)],8)
[6,3,7,4,5,2,8,1]=>([(1,7),(2,6),(3,4),(3,6),(4,5),(5,7),(6,7)],8)
[7,3,4,2,8,5,6,1]=>([(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5)],8)
[4,3,6,5,8,2,7,1]=>([(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,7,4,5,3,6,1]=>([(2,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)
[7,2,8,4,5,3,6,1]=>([(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(5,7)],8)
[6,3,8,2,7,4,5,1]=>([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(6,4)],8)
[3,2,8,4,7,5,6,1]=>([(1,6),(1,7),(2,6),(2,7),(4,5),(7,3),(7,4)],8)
[8,3,6,2,7,4,5,1]=>([(2,6),(2,7),(3,4),(3,6),(4,7),(6,5)],8)
[1,7,8,4,3,6,5,2]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(3,7),(4,6),(4,7),(5,1)],8)
[1,7,8,3,6,5,4,2]=>([(0,5),(0,6),(0,7),(6,4),(7,1),(7,2),(7,3)],8)
[5,8,1,7,2,4,3,6]=>([(0,5),(0,6),(1,4),(1,6),(1,7),(2,7),(3,7),(5,2),(5,3)],8)
[2,5,7,3,8,1,4,6]=>([(0,7),(1,3),(1,4),(2,5),(3,5),(3,7),(4,2),(4,6),(7,6)],8)
[8,3,5,2,1,6,7,4]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,7),(7,5)],8)
[2,6,4,7,1,8,5,3]=>([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,7),(3,5),(3,7),(7,4)],8)
[1,6,5,7,3,8,2,4]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(4,7),(6,7)],8)
[1,8,5,3,7,6,2,4]=>([(0,1),(0,2),(0,3),(0,4),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7)],8)
[6,4,2,3,8,7,5,1]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[6,5,1,3,8,4,2,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,7),(4,5),(4,6),(5,7)],8)
[6,1,4,2,7,8,3,5]=>([(0,7),(1,4),(1,5),(3,6),(4,6),(4,7),(5,3),(5,7),(7,2)],8)
[6,5,1,3,7,8,4,2]=>([(0,7),(1,7),(2,4),(2,6),(6,3),(6,7),(7,5)],8)
[5,6,8,2,4,7,1,3]=>([(0,6),(1,4),(2,3),(2,6),(3,7),(4,5),(4,7)],8)
[6,7,4,2,3,8,5,1]=>([(1,6),(1,7),(2,4),(3,5),(4,7),(5,6),(5,7)],8)
[5,8,7,3,2,4,6,1]=>([(1,6),(2,6),(3,4),(3,5),(3,7),(6,7)],8)
[5,1,3,2,6,8,4,7]=>([(0,7),(1,3),(1,4),(3,5),(3,7),(4,5),(4,7),(5,6),(7,2),(7,6)],8)
[5,7,1,4,6,8,2,3]=>([(0,4),(0,7),(1,3),(1,5),(3,7),(4,6),(5,2),(7,6)],8)
[2,4,1,7,5,6,3,8]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,7),(3,4),(3,5),(4,7),(5,2),(6,7)],8)
[1,4,3,7,6,2,8,5]=>([(0,1),(0,2),(0,3),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[1,6,2,5,7,3,8,4]=>([(0,3),(0,5),(2,6),(3,6),(4,1),(4,7),(5,2),(5,4),(6,7)],8)
[1,4,3,8,2,5,7,6]=>([(0,3),(0,4),(0,5),(3,7),(4,6),(4,7),(5,6),(5,7),(7,1),(7,2)],8)
[1,5,7,3,6,4,2,8]=>([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,2),(4,6),(5,1),(5,6),(6,7)],8)
[1,6,7,2,4,8,3,5]=>([(0,4),(0,5),(1,6),(2,7),(3,6),(3,7),(4,2),(5,1),(5,3)],8)
[3,7,2,8,4,1,5,6]=>([(0,6),(1,5),(1,7),(2,4),(2,5),(4,7),(5,6),(6,3)],8)
[5,3,4,1,7,8,6,2]=>([(0,6),(0,7),(1,5),(2,3),(2,6),(2,7),(5,6),(5,7),(7,4)],8)
[4,7,6,5,8,2,3,1]=>([(1,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[1,2,6,8,4,3,5,7]=>([(0,5),(2,6),(3,6),(4,1),(4,7),(5,2),(5,3),(5,4),(6,7)],8)
[7,2,6,3,1,8,4,5]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(3,7),(4,6),(4,7),(6,5)],8)
[5,8,4,1,3,7,2,6]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(4,7),(5,6),(5,7)],8)
[3,4,2,1,6,8,5,7]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(4,6),(4,7),(6,5),(7,3),(7,5)],8)
[8,1,3,5,6,4,7,2]=>([(1,2),(1,6),(3,7),(4,7),(5,4),(6,3),(6,5)],8)
[3,4,7,1,5,6,2,8]=>([(0,5),(1,4),(1,6),(2,7),(3,7),(4,7),(5,2),(5,6),(6,3)],8)
[4,8,2,6,5,3,7,1]=>([(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[4,8,7,2,5,6,1,3]=>([(0,6),(1,6),(1,7),(2,4),(2,5),(2,7),(7,3)],8)
[5,8,6,4,7,3,2,1]=>([(3,7),(4,5),(4,6),(6,7)],8)
[8,5,2,3,1,6,7,4]=>([(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)
[2,8,6,3,5,1,7,4]=>([(0,6),(0,7),(1,2),(1,4),(1,5),(3,7),(4,7),(5,3),(5,6)],8)
[8,3,2,6,4,1,7,5]=>([(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[8,4,1,5,3,6,7,2]=>([(1,6),(2,3),(2,4),(2,6),(4,7),(6,7),(7,5)],8)
[8,3,5,1,4,6,7,2]=>([(1,3),(1,6),(2,4),(2,6),(4,7),(6,7),(7,5)],8)
[8,5,1,3,4,6,7,2]=>([(1,7),(2,3),(2,6),(4,7),(6,4),(7,5)],8)
[3,8,6,2,5,4,7,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[3,8,4,6,5,2,7,1]=>([(1,7),(2,3),(2,6),(4,7),(5,7),(6,4),(6,5)],8)
[8,1,7,4,2,5,3,6]=>([(1,3),(1,4),(1,5),(2,7),(4,6),(5,2),(5,6),(6,7)],8)
[8,3,2,5,1,4,7,6]=>([(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(4,6),(7,5),(7,6)],8)
[8,4,5,1,2,6,7,3]=>([(1,5),(2,6),(5,7),(6,3),(6,7),(7,4)],8)
[8,1,5,3,2,6,7,4]=>([(1,2),(1,4),(1,5),(2,7),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[8,1,5,2,4,6,7,3]=>([(1,4),(1,6),(3,7),(4,7),(6,2),(6,3),(7,5)],8)
[5,2,6,4,1,3,8,7]=>([(0,5),(1,4),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,4,7,1,3,5,2]=>([(1,6),(2,6),(2,7),(3,4),(3,5),(5,7)],8)
[2,1,8,5,4,3,7,6]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,8,5,3,2,7,1]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[8,5,4,6,2,7,1,3]=>([(1,5),(2,6),(3,6),(4,5),(4,7),(6,7)],8)
[6,8,5,4,7,2,3,1]=>([(1,7),(2,7),(3,6),(4,5),(4,7)],8)
[2,5,7,3,4,8,1,6]=>([(0,7),(1,4),(1,5),(2,6),(3,6),(3,7),(4,3),(5,2),(5,7)],8)
[5,2,4,7,8,1,3,6]=>([(0,6),(0,7),(1,5),(2,4),(2,5),(4,6),(4,7),(5,7),(6,3)],8)
[4,8,5,6,1,2,7,3]=>([(0,6),(1,3),(1,5),(4,7),(5,4),(6,2),(6,7)],8)
[2,5,6,8,7,1,4,3]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(4,5),(5,2),(5,3)],8)
[1,7,8,5,4,6,2,3]=>([(0,3),(0,4),(0,5),(0,6),(3,7),(4,7),(5,2),(6,1)],8)
[4,6,8,1,5,2,7,3]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(4,7),(5,3),(5,7),(6,7)],8)
[8,2,3,6,4,1,7,5]=>([(1,3),(2,6),(2,7),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[2,3,7,5,8,6,1,4]=>([(0,7),(1,5),(3,6),(4,2),(4,6),(5,3),(5,4),(5,7)],8)
[3,8,5,1,2,4,7,6]=>([(0,4),(1,2),(1,3),(1,5),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[1,3,6,4,8,2,7,5]=>([(0,3),(0,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,1),(4,2)],8)
[1,7,6,2,8,5,3,4]=>([(0,3),(0,4),(0,6),(3,7),(4,7),(5,2),(6,1),(6,5),(6,7)],8)
[1,5,8,6,4,7,2,3]=>([(0,4),(0,5),(0,6),(3,7),(4,7),(5,2),(6,1),(6,3)],8)
[5,6,2,8,1,7,3,4]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(3,6),(3,7),(5,4)],8)
[6,8,4,5,1,3,7,2]=>([(0,6),(1,5),(1,7),(2,3),(2,4),(4,7),(6,7)],8)
[5,2,3,8,1,4,6,7]=>([(0,7),(1,5),(1,6),(2,4),(4,6),(4,7),(5,3),(7,5)],8)
[1,6,8,3,2,4,5,7]=>([(0,3),(0,4),(0,5),(2,6),(3,7),(4,7),(5,1),(5,6),(7,2)],8)
[8,6,5,2,4,3,7,1]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,2,5,3,7,4,8,1]=>([(1,7),(2,3),(2,4),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[8,5,4,2,6,3,7,1]=>([(2,7),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[8,5,3,2,6,4,7,1]=>([(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[7,4,6,5,8,2,3,1]=>([(1,7),(2,4),(3,5),(3,6),(5,7),(6,7)],8)
[7,3,6,5,8,2,4,1]=>([(1,7),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[7,3,6,4,8,2,5,1]=>([(1,7),(2,6),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[7,3,5,4,8,2,6,1]=>([(1,7),(2,6),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,6,8,4,5,1,2]=>([(0,7),(1,4),(2,5),(2,6),(5,7),(6,3)],8)
[1,6,5,7,4,2,8,3]=>([(0,2),(0,3),(0,4),(0,5),(2,7),(3,6),(4,6),(5,1),(5,7),(6,7)],8)
[1,2,7,4,8,5,6,3]=>([(0,6),(3,7),(4,2),(5,4),(5,7),(6,1),(6,3),(6,5)],8)
[2,6,7,4,8,5,1,3]=>([(0,7),(1,4),(1,5),(1,7),(3,6),(4,3),(5,2),(5,6)],8)
[2,5,8,6,4,3,7,1]=>([(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,2),(6,3)],8)
[6,4,2,5,7,1,8,3]=>([(0,6),(1,5),(2,4),(2,7),(3,4),(3,5),(5,6),(6,7)],8)
[8,1,4,7,3,5,6,2]=>([(1,3),(1,4),(1,6),(4,7),(6,2),(6,7),(7,5)],8)
[8,3,7,2,4,5,6,1]=>([(2,7),(3,4),(3,7),(5,6),(7,5)],8)
[8,1,4,5,7,3,6,2]=>([(1,3),(1,4),(1,5),(4,7),(5,6),(6,2),(6,7)],8)
[5,6,3,4,2,8,7,1]=>([(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,7,4,6,8,1,3]=>([(0,7),(1,3),(1,4),(1,7),(2,6),(3,5),(4,2),(4,5),(5,6)],8)
[2,5,6,4,1,3,8,7]=>([(0,5),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,2),(5,6),(5,7)],8)
[4,6,1,3,5,7,2,8]=>([(0,4),(0,7),(1,2),(1,3),(2,6),(3,7),(4,5),(5,6),(7,5)],8)
[3,2,7,5,8,1,6,4]=>([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(5,3),(6,3),(6,4)],8)
[4,3,6,8,5,2,1,7]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(5,7),(6,4),(6,7)],8)
[4,5,3,2,1,8,6,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)
[3,6,5,8,1,7,4,2]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(1,6),(2,5),(2,7),(3,5),(3,7)],8)
[4,1,6,8,5,2,3,7]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(3,7),(4,3),(5,7),(6,2),(6,7)],8)
[4,5,2,8,6,7,1,3]=>([(0,5),(1,5),(1,6),(1,7),(2,4),(4,6),(4,7),(7,3)],8)
[4,5,2,8,6,7,3,1]=>([(1,5),(2,3),(2,6),(2,7),(5,6),(5,7),(7,4)],8)
[3,5,8,6,2,4,7,1]=>([(1,6),(2,3),(2,6),(3,4),(3,5),(5,7),(6,7)],8)
[2,5,1,6,4,8,3,7]=>([(0,2),(0,4),(0,6),(1,4),(1,5),(1,6),(2,5),(4,7),(5,3),(5,7),(6,3),(6,7)],8)
[3,2,4,5,8,6,1,7]=>([(0,7),(1,6),(2,6),(3,4),(3,5),(5,7),(6,3)],8)
[4,5,2,1,3,8,6,7]=>([(0,5),(1,5),(2,4),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[4,2,3,6,8,5,1,7]=>([(0,7),(1,5),(1,6),(2,4),(4,5),(4,6),(5,7),(6,3),(6,7)],8)
[4,5,1,3,2,8,6,7]=>([(0,5),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(7,2)],8)
[3,4,5,8,6,1,7,2]=>([(0,5),(1,4),(1,7),(3,7),(5,6),(6,2),(6,3)],8)
[3,4,5,8,6,1,2,7]=>([(0,4),(1,5),(3,7),(4,7),(5,6),(6,2),(6,3)],8)
[6,4,1,3,7,8,2,5]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(3,7),(4,6),(4,7),(6,5)],8)
[6,3,1,2,5,4,8,7]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,6,4,1,3,7,5]=>([(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,8,2,4,3,7,6]=>([(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,1),(4,6),(4,7),(5,2),(5,3)],8)
[4,3,7,8,2,6,5,1]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4)],8)
[3,8,5,1,2,6,7,4]=>([(0,5),(1,3),(1,4),(1,6),(4,7),(5,6),(5,7),(7,2)],8)
[2,4,7,8,3,6,5,1]=>([(1,3),(1,5),(3,6),(3,7),(4,2),(5,4),(5,6),(5,7)],8)
[5,4,7,8,3,6,1,2]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(6,5)],8)
[6,8,1,3,2,5,7,4]=>([(0,4),(0,7),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(6,7)],8)
[1,4,8,5,7,2,3,6]=>([(0,5),(0,6),(3,7),(4,2),(4,7),(5,3),(6,1),(6,4)],8)
[1,8,7,3,2,4,5,6]=>([(0,2),(0,3),(0,4),(0,5),(4,7),(5,7),(6,1),(7,6)],8)
[8,6,2,7,3,4,1,5]=>([(1,6),(2,7),(3,4),(3,6),(4,5),(5,7)],8)
[8,6,2,7,3,4,5,1]=>([(2,7),(3,4),(3,7),(4,6),(6,5)],8)
[5,6,3,2,8,7,1,4]=>([(0,5),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,6),(4,7)],8)
[5,1,6,7,8,3,2,4]=>([(0,7),(1,3),(1,4),(1,7),(3,6),(4,6),(5,2),(7,5)],8)
[1,5,6,3,7,2,4,8]=>([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(5,7),(6,7)],8)
[1,5,6,7,4,2,3,8]=>([(0,3),(0,5),(0,6),(1,7),(2,7),(3,7),(4,1),(5,2),(6,4)],8)
[5,1,6,7,3,4,2,8]=>([(0,6),(1,3),(1,5),(1,6),(2,7),(3,7),(4,7),(5,2),(6,4)],8)
[8,6,1,7,3,4,5,2]=>([(1,7),(2,4),(2,6),(2,7),(5,3),(6,5)],8)
[6,8,5,1,7,4,2,3]=>([(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(6,3)],8)
[8,4,2,3,5,7,6,1]=>([(2,7),(3,4),(4,7),(7,5),(7,6)],8)
[4,8,5,2,3,1,6,7]=>([(0,7),(1,5),(2,3),(2,4),(4,7),(5,7),(7,6)],8)
[5,4,8,3,1,2,6,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,7),(7,5)],8)
[8,4,7,3,2,5,6,1]=>([(2,7),(3,7),(4,5),(4,7),(7,6)],8)
[6,8,5,1,7,3,4,2]=>([(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(6,3)],8)
[6,2,7,3,8,1,4,5]=>([(0,7),(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(7,3)],8)
[8,4,2,6,7,1,5,3]=>([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(6,4)],8)
[1,7,8,3,6,5,2,4]=>([(0,4),(0,5),(0,6),(4,7),(5,3),(6,1),(6,2),(6,7)],8)
[4,6,7,5,1,8,2,3]=>([(0,6),(0,7),(1,4),(1,5),(3,7),(4,7),(5,3),(6,2)],8)
[3,5,2,6,8,7,4,1]=>([(1,6),(1,7),(2,3),(2,6),(3,7),(7,4),(7,5)],8)
[7,3,6,8,4,1,2,5]=>([(0,6),(1,4),(2,3),(2,5),(3,7),(4,7),(5,6)],8)
[6,4,2,3,7,5,8,1]=>([(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5),(7,5)],8)
[6,3,7,5,1,2,8,4]=>([(0,5),(1,4),(2,3),(2,5),(2,6),(3,7),(4,6),(4,7),(5,7)],8)
[7,2,5,4,8,6,3,1]=>([(1,7),(2,3),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,3,8,7,4,5,1]=>([(1,3),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4)],8)
[7,1,2,8,4,6,5,3]=>([(0,7),(1,6),(5,3),(5,4),(6,2),(6,5),(6,7)],8)
[3,5,8,1,2,7,6,4]=>([(0,3),(1,4),(1,7),(3,5),(3,6),(3,7),(4,2),(4,5),(4,6)],8)
[1,4,3,6,8,5,2,7]=>([(0,2),(0,3),(0,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,1),(6,7)],8)
[7,6,2,8,5,3,4,1]=>([(1,7),(2,7),(3,4),(3,5),(3,7),(5,6)],8)
[6,8,3,5,4,7,2,1]=>([(2,4),(2,7),(3,5),(3,6),(5,7),(6,7)],8)
[8,2,7,6,4,1,3,5]=>([(1,6),(2,3),(2,4),(2,5),(2,6),(5,7),(6,7)],8)
[8,3,7,5,1,6,2,4]=>([(1,5),(1,7),(2,3),(2,4),(2,6),(4,7),(5,6)],8)
[8,5,7,1,4,2,6,3]=>([(1,4),(1,7),(2,5),(2,6),(5,7),(6,3),(6,7)],8)
[4,7,1,5,6,3,2,8]=>([(0,5),(0,6),(1,2),(1,3),(1,6),(2,7),(3,7),(4,7),(5,7),(6,4)],8)
[4,5,7,1,6,3,8,2]=>([(0,5),(1,2),(1,4),(1,6),(3,7),(4,7),(5,3),(5,6),(6,7)],8)
[4,6,5,7,2,3,8,1]=>([(1,5),(2,3),(2,4),(3,7),(4,7),(5,6),(7,6)],8)
[3,6,7,2,5,8,4,1]=>([(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,7),(6,7)],8)
[5,3,6,7,4,8,1,2]=>([(0,6),(1,3),(2,4),(2,6),(4,7),(5,7),(6,5)],8)
[4,2,7,8,3,6,5,1]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(5,3)],8)
[4,2,7,8,5,6,1,3]=>([(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,4),(7,3)],8)
[5,4,3,7,8,1,6,2]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(6,5)],8)
[3,5,7,8,4,2,1,6]=>([(0,7),(1,7),(2,4),(2,6),(4,7),(5,3),(6,5),(6,7)],8)
[4,6,7,3,2,8,1,5]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(5,6)],8)
[4,6,5,3,7,8,1,2]=>([(0,7),(1,3),(2,4),(2,5),(4,7),(5,7),(7,6)],8)
[5,6,2,4,7,8,3,1]=>([(1,5),(2,3),(2,4),(4,7),(5,7),(7,6)],8)
[5,6,3,2,8,4,7,1]=>([(1,5),(1,7),(2,5),(2,7),(3,4),(4,6),(4,7),(5,6)],8)
[5,6,2,8,3,4,7,1]=>([(1,4),(2,3),(2,6),(3,5),(4,6),(4,7),(5,7)],8)
[3,7,4,8,1,6,5,2]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(2,5),(3,5),(3,6),(3,7)],8)
[5,2,4,8,6,7,3,1]=>([(1,6),(1,7),(2,4),(2,5),(5,6),(5,7),(7,3)],8)
[5,2,6,4,8,7,3,1]=>([(1,5),(2,3),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,7,8,6,5,1,3]=>([(0,7),(1,6),(1,7),(5,4),(6,2),(6,3),(6,5)],8)
[5,2,6,7,8,1,4,3]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(7,3)],8)
[4,8,2,7,5,3,1,6]=>([(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(6,7)],8)
[1,2,4,6,5,8,3,7]=>([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,2),(4,3),(5,1),(5,4)],8)
[5,4,2,3,1,7,8,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)
[3,5,8,1,7,4,2,6]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(3,7),(4,2),(4,5),(4,7),(6,7)],8)
[5,8,6,1,7,2,3,4]=>([(0,6),(0,7),(1,3),(1,4),(4,7),(5,2),(6,5)],8)
[5,1,4,3,8,2,6,7]=>([(0,6),(0,7),(1,2),(1,4),(1,5),(2,7),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[8,4,7,5,6,2,1,3]=>([(1,7),(2,7),(3,4),(3,5),(5,6)],8)
[3,8,6,7,5,2,4,1]=>([(1,7),(2,4),(2,5),(2,6),(2,7),(6,3)],8)
[8,2,5,4,7,3,6,1]=>([(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,8,7,3,6,5,1]=>([(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7)],8)
[3,7,8,6,1,4,5,2]=>([(0,5),(0,7),(1,3),(1,6),(1,7),(6,2),(7,4)],8)
[4,6,7,8,2,1,5,3]=>([(0,3),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(5,4)],8)
[4,7,6,3,8,1,5,2]=>([(0,6),(0,7),(1,3),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[3,8,1,4,6,2,5,7]=>([(0,3),(0,7),(1,4),(1,7),(2,6),(4,5),(5,6),(7,2),(7,5)],8)
[2,4,5,3,8,7,1,6]=>([(0,7),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,2)],8)
[4,7,5,6,2,8,1,3]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(3,5),(4,7),(5,7)],8)
[8,7,5,1,6,3,2,4]=>([(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[7,8,6,2,3,5,1,4]=>([(1,7),(2,4),(3,5),(5,6),(5,7)],8)
[2,8,4,6,7,3,5,1]=>([(1,3),(1,4),(1,6),(4,7),(5,2),(6,5),(6,7)],8)
[4,1,6,7,8,2,5,3]=>([(0,6),(0,7),(1,4),(1,7),(4,3),(4,6),(5,2),(7,5)],8)
[8,6,3,4,1,2,7,5]=>([(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,8,4,6,1,3,7]=>([(0,7),(1,3),(1,4),(1,7),(3,5),(4,2),(4,5),(5,6),(7,6)],8)
[4,7,8,6,5,1,3,2]=>([(0,5),(0,6),(1,3),(1,4),(1,7),(7,2)],8)
[6,8,4,7,3,5,2,1]=>([(2,6),(3,6),(3,7),(4,5),(4,7)],8)
[7,4,5,8,3,6,2,1]=>([(2,7),(3,6),(4,5),(5,6),(5,7)],8)
[8,4,7,3,5,6,2,1]=>([(3,7),(4,5),(4,7),(7,6)],8)
[3,6,4,2,8,1,7,5]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,4,8,6,2,1,7,5]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(5,7)],8)
[3,8,6,2,1,7,4,5]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(4,7),(6,5)],8)
[3,1,8,2,4,6,5,7]=>([(0,6),(0,7),(1,2),(1,6),(2,7),(3,5),(4,5),(7,3),(7,4)],8)
[8,1,7,6,2,5,4,3]=>([(1,5),(1,6),(1,7),(7,2),(7,3),(7,4)],8)
[8,5,4,3,7,6,1,2]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5)],8)
[4,8,1,3,6,7,5,2]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(4,6),(4,7),(7,2)],8)
[3,5,8,6,1,7,4,2]=>([(0,5),(0,7),(1,4),(1,6),(1,7),(3,6),(5,2),(5,3)],8)
[8,1,4,7,5,2,6,3]=>([(1,5),(1,6),(4,7),(5,3),(5,7),(6,2),(6,4)],8)
[1,4,8,6,7,3,5,2]=>([(0,3),(0,4),(0,6),(4,7),(5,2),(6,1),(6,5),(6,7)],8)
[4,1,6,7,8,5,3,2]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(5,2),(7,5)],8)
[3,7,8,6,4,1,5,2]=>([(0,5),(0,7),(1,3),(1,4),(1,6),(4,7),(6,2)],8)
[4,6,1,5,7,2,3,8]=>([(0,3),(0,7),(1,4),(1,7),(2,6),(3,5),(4,2),(5,6),(7,5)],8)
[4,8,5,3,2,7,1,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(5,6),(5,7)],8)
[5,4,8,1,3,7,2,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,7),(4,6),(4,7)],8)
[8,4,5,3,1,7,2,6]=>([(1,6),(1,7),(2,5),(3,4),(3,6),(4,7),(5,6),(5,7)],8)
[7,4,5,3,1,8,6,2]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
[5,6,8,7,2,4,3,1]=>([(1,7),(2,5),(2,6),(7,3),(7,4)],8)
[5,7,8,6,4,2,3,1]=>([(2,5),(3,4),(3,6),(6,7)],8)
[6,8,7,5,1,3,2,4]=>([(1,3),(1,4),(2,5),(2,6),(5,7),(6,7)],8)
[3,8,2,6,7,5,1,4]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3)],8)
[4,7,6,3,8,2,5,1]=>([(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[6,7,4,1,8,2,5,3]=>([(0,6),(0,7),(1,3),(2,4),(2,7),(3,7),(4,5),(4,6)],8)
[5,7,6,8,3,2,4,1]=>([(1,6),(2,6),(3,4),(3,5),(4,7),(5,7)],8)
[7,6,4,2,8,1,5,3]=>([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7)],8)
[6,3,4,8,7,1,2,5]=>([(0,5),(0,6),(1,3),(2,4),(3,7),(4,5),(4,6),(4,7)],8)
[2,7,4,8,1,6,3,5]=>([(0,2),(0,3),(0,7),(1,5),(1,7),(2,6),(3,4),(3,5),(3,6),(7,4)],8)
[5,3,1,6,7,8,2,4]=>([(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(4,6),(7,3)],8)
[3,4,7,8,6,1,2,5]=>([(0,4),(1,6),(4,7),(5,3),(6,2),(6,5),(6,7)],8)
[2,1,4,7,8,6,3,5]=>([(0,6),(0,7),(1,6),(1,7),(4,3),(6,5),(7,2),(7,4),(7,5)],8)
[2,4,5,8,1,6,3,7]=>([(0,6),(0,7),(1,3),(1,7),(3,4),(4,2),(4,6),(6,5),(7,5)],8)
[3,4,6,8,2,5,7,1]=>([(1,3),(2,6),(3,5),(3,6),(5,4),(5,7),(6,7)],8)
[1,8,5,6,4,2,3,7]=>([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(4,7),(5,2),(6,1)],8)
[1,8,7,6,2,4,5,3]=>([(0,3),(0,4),(0,5),(0,7),(6,2),(7,1),(7,6)],8)
[6,4,8,5,7,3,1,2]=>([(1,6),(1,7),(2,4),(3,5),(3,6),(5,7)],8)
[1,6,4,7,2,5,8,3]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6),(5,7),(6,7)],8)
[2,7,5,1,8,6,3,4]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(3,7),(4,5),(4,7),(6,2)],8)
[4,7,1,6,5,3,8,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,7,5,6,4,8,2,3]=>([(0,3),(0,4),(0,5),(0,6),(2,7),(3,7),(4,7),(5,1),(6,2)],8)
[2,4,8,5,7,3,1,6]=>([(0,7),(1,4),(1,6),(4,7),(5,3),(5,7),(6,2),(6,5)],8)
[8,3,1,4,6,2,7,5]=>([(1,5),(2,3),(2,5),(3,6),(3,7),(4,7),(5,4),(5,6)],8)
[7,2,6,4,5,8,1,3]=>([(0,7),(1,6),(2,3),(2,4),(2,6),(3,5),(4,7),(5,7)],8)
[2,7,1,5,3,8,6,4]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,7),(5,4),(5,7),(6,2),(6,4),(6,7)],8)
[3,5,7,2,8,4,1,6]=>([(0,7),(1,5),(1,6),(2,3),(2,6),(3,4),(3,7),(4,5),(6,7)],8)
[2,4,3,8,5,1,7,6]=>([(0,2),(0,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(7,4),(7,5)],8)
[7,3,2,1,4,8,6,5]=>([(0,7),(1,7),(2,7),(3,6),(7,4),(7,5),(7,6)],8)
[2,8,3,4,1,7,6,5]=>([(0,5),(0,6),(0,7),(1,2),(1,4),(3,5),(3,6),(3,7),(4,3)],8)
[4,7,6,8,2,5,3,1]=>([(1,3),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[2,6,7,1,4,5,8,3]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,5),(3,5),(4,3),(7,2)],8)
[8,7,2,6,1,5,3,4]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[7,1,3,8,2,6,4,5]=>([(0,6),(1,3),(1,4),(3,5),(3,7),(4,5),(4,6),(4,7),(7,2)],8)
[6,2,5,3,4,7,1,8]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,7),(5,7),(7,6)],8)
[2,7,3,4,1,5,8,6]=>([(0,7),(1,4),(1,5),(3,7),(4,6),(5,3),(7,2),(7,6)],8)
[2,5,8,1,6,7,3,4]=>([(0,6),(0,7),(1,5),(1,7),(5,2),(5,6),(6,3),(7,4)],8)
[6,2,8,3,4,5,1,7]=>([(0,7),(1,3),(1,6),(2,6),(2,7),(3,5),(4,7),(5,4)],8)
[3,6,4,1,2,5,8,7]=>([(0,4),(1,2),(1,3),(2,5),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[3,5,4,1,6,2,8,7]=>([(0,4),(0,7),(1,2),(1,3),(2,7),(3,7),(4,5),(4,6),(7,5),(7,6)],8)
[4,5,7,2,8,3,1,6]=>([(0,7),(1,4),(2,3),(2,6),(3,7),(4,5),(4,7),(5,6)],8)
[3,5,1,7,6,2,8,4]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)
[8,3,6,2,7,5,4,1]=>([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7)],8)
[8,4,2,6,5,3,7,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,4,2,7,1,8,6,3]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(6,5)],8)
[4,1,7,6,5,3,2,8]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,3,6,7,1,8,5,4]=>([(0,5),(0,6),(0,7),(1,4),(2,7),(3,2),(4,3),(4,5),(4,6)],8)
[3,6,1,2,7,8,5,4]=>([(0,4),(1,3),(1,5),(1,6),(3,7),(4,5),(4,6),(4,7),(7,2)],8)
[4,5,1,8,7,6,3,2]=>([(0,4),(1,2),(1,3),(1,5),(1,6),(1,7),(4,5),(4,6),(4,7)],8)
[8,4,5,2,7,6,3,1]=>([(2,5),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
[4,1,3,6,7,5,2,8]=>([(0,5),(0,6),(1,3),(1,4),(2,7),(3,7),(4,5),(4,6),(5,7),(6,2)],8)
[3,1,4,5,7,6,2,8]=>([(0,6),(1,4),(1,6),(2,7),(3,7),(4,7),(5,2),(5,3),(6,5)],8)
[4,5,1,3,6,8,7,2]=>([(0,6),(1,2),(1,3),(3,7),(6,7),(7,4),(7,5)],8)
[3,8,5,1,2,4,6,7]=>([(0,5),(1,3),(1,4),(1,6),(4,7),(5,6),(6,7),(7,2)],8)
[8,5,1,2,4,3,6,7]=>([(1,7),(2,6),(3,7),(4,7),(6,3),(6,4),(7,5)],8)
[5,8,4,1,2,3,6,7]=>([(0,7),(1,6),(2,5),(2,7),(3,7),(6,3),(7,4)],8)
[3,5,8,1,4,2,7,6]=>([(0,3),(0,5),(1,4),(1,5),(3,6),(3,7),(4,2),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,5,7,1,4,3,6]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(4,2),(4,7),(5,7),(6,7)],8)
[4,8,7,5,1,2,3,6]=>([(0,6),(1,2),(1,3),(1,5),(4,7),(5,7),(6,4)],8)
[8,1,2,4,6,3,7,5]=>([(1,5),(2,6),(3,6),(3,7),(4,2),(4,7),(5,3),(5,4)],8)
[7,6,1,4,2,3,8,5]=>([(0,7),(1,7),(2,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,2,7,8,4,3,5]=>([(0,7),(1,5),(3,6),(4,6),(5,3),(5,4),(5,7),(7,2)],8)
[7,8,1,2,5,3,4,6]=>([(0,4),(1,6),(2,7),(3,7),(5,3),(6,2),(6,5)],8)
[1,8,4,7,5,2,3,6]=>([(0,4),(0,5),(0,6),(2,7),(3,7),(5,3),(6,1),(6,2)],8)
[8,4,7,2,1,6,3,5]=>([(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(5,6)],8)
[4,5,8,2,1,6,7,3]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,5),(3,7),(7,4)],8)
[7,4,2,5,3,6,1,8]=>([(0,7),(1,7),(2,5),(3,4),(3,5),(4,6),(5,6),(6,7)],8)
[3,1,6,7,5,2,4,8]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(3,4),(4,7),(5,7),(6,2)],8)
[8,4,2,5,3,6,7,1]=>([(2,6),(3,4),(3,6),(4,7),(6,7),(7,5)],8)
[4,8,1,5,3,6,7,2]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(4,7),(6,7),(7,2)],8)
[4,1,7,5,2,6,3,8]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,7),(3,2),(3,4),(4,7),(5,7),(6,4)],8)
[7,1,5,3,6,8,2,4]=>([(0,7),(1,2),(1,3),(1,4),(2,5),(3,6),(4,5),(4,6),(6,7)],8)
[4,5,2,6,1,8,3,7]=>([(0,3),(1,5),(1,6),(2,6),(2,7),(3,7),(6,4),(7,4),(7,5)],8)
[5,1,8,6,7,3,4,2]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(5,3),(7,2)],8)
[6,5,2,4,1,7,8,3]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,6),(4,7),(7,5)],8)
[5,4,8,2,1,3,6,7]=>([(0,6),(1,6),(2,5),(2,7),(3,5),(3,7),(6,7),(7,4)],8)
[1,4,8,3,2,6,5,7]=>([(0,2),(0,3),(0,4),(2,6),(2,7),(3,6),(3,7),(4,1),(4,6),(4,7),(6,5),(7,5)],8)
[1,3,8,4,2,7,5,6]=>([(0,4),(0,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3),(7,1)],8)
[7,2,8,3,1,4,5,6]=>([(0,7),(1,6),(2,3),(2,6),(3,7),(4,5),(7,4)],8)
[8,1,3,2,7,5,4,6]=>([(1,2),(1,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[7,6,1,8,2,5,4,3]=>([(0,7),(1,7),(2,6),(2,7),(6,3),(6,4),(6,5)],8)
[8,4,1,6,7,3,5,2]=>([(1,6),(1,7),(2,3),(2,4),(2,6),(4,7),(6,5)],8)
[5,8,4,2,1,6,3,7]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,7),(5,6),(7,6)],8)
[7,6,4,1,2,5,3,8]=>([(0,7),(1,7),(2,6),(3,4),(4,5),(4,6),(5,7),(6,7)],8)
[5,4,2,8,1,6,3,7]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,7),(3,4),(3,6),(3,7),(4,5),(7,5)],8)
[8,7,2,6,4,5,3,1]=>([(3,4),(3,5),(3,6),(6,7)],8)
[7,2,8,4,3,6,1,5]=>([(0,7),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[1,7,5,4,8,6,2,3]=>([(0,2),(0,3),(0,4),(0,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1)],8)
[4,8,6,3,5,2,1,7]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[5,8,6,3,2,7,1,4]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(5,7)],8)
[5,7,6,3,2,4,8,1]=>([(1,6),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[5,7,3,2,8,6,4,1]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(4,7)],8)
[4,5,1,6,8,2,7,3]=>([(0,4),(1,5),(1,7),(4,7),(5,3),(5,6),(7,2),(7,6)],8)
[1,6,3,7,2,4,8,5]=>([(0,2),(0,3),(0,4),(2,7),(3,5),(4,5),(4,7),(5,6),(7,1),(7,6)],8)
[4,3,1,6,7,2,5,8]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(3,7),(4,5),(6,4),(7,5)],8)
[6,3,1,5,7,2,4,8]=>([(0,6),(1,3),(1,7),(2,5),(2,7),(3,5),(5,4),(6,4),(7,6)],8)
[5,2,1,4,8,6,7,3]=>([(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(5,3),(7,4),(7,5)],8)
[4,5,2,1,3,7,6,8]=>([(0,3),(1,7),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)
[8,2,7,4,1,6,5,3]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(4,6),(4,7)],8)
[3,2,8,4,1,6,5,7]=>([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(5,3),(6,3),(7,5),(7,6)],8)
[7,1,6,5,4,2,8,3]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,2),(6,7)],8)
[7,1,8,4,2,3,6,5]=>([(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,2)],8)
[2,7,6,4,5,1,8,3]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,2)],8)
[3,6,8,1,5,7,4,2]=>([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(4,2),(4,5),(7,5)],8)
[2,8,3,1,6,7,4,5]=>([(0,6),(0,7),(1,2),(1,3),(3,6),(3,7),(6,5),(7,4)],8)
[4,5,6,8,2,1,7,3]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,5),(5,4),(5,7)],8)
[4,5,6,8,1,3,7,2]=>([(0,6),(1,3),(1,4),(4,7),(5,2),(5,7),(6,5)],8)
[4,5,8,3,2,1,7,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[4,5,1,3,2,6,7,8]=>([(0,5),(1,3),(1,4),(3,7),(4,7),(5,7),(6,2),(7,6)],8)
[4,7,3,2,1,6,5,8]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(6,5),(7,5)],8)
[4,7,8,3,5,1,6,2]=>([(0,6),(1,3),(1,7),(2,4),(2,6),(4,5),(6,7)],8)
[4,7,1,3,5,6,2,8]=>([(0,5),(0,6),(1,2),(1,3),(2,7),(3,6),(4,7),(5,7),(6,4)],8)
[4,8,3,2,1,6,7,5]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[5,2,8,1,4,6,7,3]=>([(0,4),(0,6),(1,5),(1,7),(2,4),(2,5),(2,7),(6,3),(7,6)],8)
[5,6,3,7,8,1,4,2]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(4,7),(7,5)],8)
[5,7,1,4,3,6,2,8]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(2,7),(3,7),(4,6),(5,6),(7,6)],8)
[6,2,3,7,1,5,4,8]=>([(0,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[6,2,8,1,5,4,7,3]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[6,1,3,4,5,2,7,8]=>([(0,7),(1,3),(1,6),(2,7),(3,7),(5,2),(6,5),(7,4)],8)
[7,1,3,4,5,6,2,8]=>([(0,7),(1,3),(1,6),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[7,2,5,1,3,6,4,8]=>([(0,7),(1,5),(2,3),(2,5),(3,6),(4,7),(5,4),(5,6),(6,7)],8)
[6,5,2,7,8,4,3,1]=>([(1,7),(2,7),(3,4),(3,5),(3,7),(7,6)],8)
[7,5,3,6,4,2,1,8]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,3,6,5,8,4,7,1]=>([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3),(5,4)],8)
[1,3,6,7,5,2,4,8]=>([(0,3),(0,5),(1,7),(2,7),(3,6),(4,2),(5,1),(5,4),(5,6),(6,7)],8)
[1,5,2,6,8,7,3,4]=>([(0,4),(0,6),(4,7),(5,1),(6,5),(6,7),(7,2),(7,3)],8)
[5,3,4,7,2,1,6,8]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5),(7,5)],8)
[4,8,5,7,1,2,3,6]=>([(0,6),(1,3),(1,5),(4,7),(5,2),(5,7),(6,4)],8)
[4,2,3,7,6,1,8,5]=>([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
[4,2,6,3,1,5,7,8]=>([(0,7),(1,5),(1,7),(2,4),(2,5),(4,7),(5,6),(6,3),(7,6)],8)
[4,6,3,2,5,8,7,1]=>([(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(7,5),(7,6)],8)
[5,8,4,3,2,6,1,7]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,7),(7,6)],8)
[1,5,7,4,8,6,2,3]=>([(0,3),(0,4),(0,5),(2,7),(3,6),(3,7),(4,1),(5,2),(5,6)],8)
[6,1,5,7,3,8,2,4]=>([(0,7),(1,2),(1,3),(1,4),(2,7),(3,5),(4,5),(4,6),(7,6)],8)
[1,2,7,8,6,4,3,5]=>([(0,6),(3,7),(4,7),(5,2),(6,1),(6,3),(6,4),(6,5)],8)
[3,5,1,7,8,6,2,4]=>([(0,4),(0,5),(1,3),(1,6),(1,7),(3,5),(4,6),(4,7),(7,2)],8)
[5,2,4,1,7,6,8,3]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(6,5),(7,5)],8)
[5,4,3,8,1,7,2,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(4,7)],8)
[7,3,1,5,6,8,4,2]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(2,6),(4,7),(6,4)],8)
[7,2,3,1,6,8,4,5]=>([(0,5),(1,6),(1,7),(2,4),(4,6),(4,7),(6,5),(7,3)],8)
[5,7,8,1,6,2,3,4]=>([(0,5),(0,7),(1,6),(1,7),(4,3),(5,4),(6,2)],8)
[1,6,4,2,7,3,8,5]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(3,5),(3,7),(4,1),(4,7),(7,6)],8)
[1,4,2,5,8,6,3,7]=>([(0,4),(0,5),(2,6),(3,6),(4,7),(5,3),(5,7),(7,1),(7,2)],8)
[4,8,2,1,5,7,3,6]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,7),(5,6),(7,4),(7,6)],8)
[5,2,7,1,6,3,4,8]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,3),(6,7)],8)
[4,8,2,5,1,6,3,7]=>([(0,3),(0,6),(1,5),(1,7),(2,6),(2,7),(5,4),(6,5),(7,4)],8)
[5,8,1,2,4,6,3,7]=>([(0,4),(0,7),(1,5),(2,7),(3,6),(5,2),(5,3),(7,6)],8)
[5,1,7,3,6,4,2,8]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,7),(3,7),(4,2),(4,5),(5,7),(6,7)],8)
[3,2,7,5,6,1,4,8]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,3),(6,7)],8)
[3,2,7,1,6,4,5,8]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[6,3,1,7,5,4,2,8]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[6,2,8,7,3,4,5,1]=>([(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(5,4)],8)
[7,3,4,8,5,6,2,1]=>([(2,4),(3,7),(4,6),(4,7),(6,5)],8)
[7,3,6,8,4,5,2,1]=>([(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,2,8,3,1,7,4]=>([(0,6),(0,7),(1,3),(2,4),(2,5),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,7,5,6,2,8,3]=>([(0,5),(0,6),(2,7),(3,7),(4,3),(5,1),(5,7),(6,2),(6,4)],8)
[1,7,4,8,3,5,6,2]=>([(0,2),(0,3),(0,4),(0,5),(3,7),(4,6),(5,6),(5,7),(7,1)],8)
[5,3,1,4,8,6,2,7]=>([(0,7),(1,3),(1,7),(2,4),(2,6),(3,5),(6,5),(7,4),(7,6)],8)
[5,2,4,8,3,1,6,7]=>([(0,7),(1,6),(1,7),(2,3),(2,5),(3,7),(5,6),(5,7),(7,4)],8)
[7,4,5,1,8,6,2,3]=>([(0,7),(1,4),(2,3),(2,6),(2,7),(3,5),(4,6),(4,7)],8)
[8,1,5,7,6,3,2,4]=>([(1,4),(1,5),(1,6),(4,7),(5,7),(6,2),(6,3)],8)
[1,8,6,7,5,3,2,4]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,1)],8)
[7,4,8,3,1,6,5,2]=>([(0,6),(0,7),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)
[8,1,5,3,7,6,2,4]=>([(1,2),(1,3),(1,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,4,8,7,3,5,1,2]=>([(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4)],8)
[6,1,4,2,3,5,7,8]=>([(0,7),(1,4),(1,5),(3,6),(4,6),(5,3),(6,7),(7,2)],8)
[6,5,1,8,3,7,4,2]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(4,5),(4,7)],8)
[7,1,4,3,8,6,5,2]=>([(0,7),(1,2),(1,3),(1,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,5,4,1,7,3,2,6]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[4,5,3,8,1,7,6,2]=>([(0,5),(0,6),(0,7),(1,4),(2,3),(2,6),(2,7),(4,5),(4,6),(4,7)],8)
[4,7,6,3,2,8,5,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[5,7,6,3,8,2,4,1]=>([(1,6),(2,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)
[6,8,4,7,1,2,5,3]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(4,5),(4,7)],8)
[1,3,7,6,8,4,5,2]=>([(0,4),(0,6),(2,7),(3,7),(5,1),(6,2),(6,3),(6,5)],8)
[6,1,5,7,2,8,3,4]=>([(0,7),(1,3),(1,5),(3,7),(4,2),(5,4),(5,6),(7,6)],8)
[1,8,7,2,5,6,3,4]=>([(0,3),(0,4),(0,7),(5,2),(6,1),(7,5),(7,6)],8)
[1,8,2,6,7,4,3,5]=>([(0,4),(0,6),(2,7),(3,7),(5,1),(6,2),(6,3),(6,5)],8)
[2,5,4,8,7,6,1,3]=>([(0,7),(1,2),(1,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],8)
[1,8,7,6,3,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)
[1,8,5,7,6,4,3,2]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)
[7,2,4,1,8,5,3,6]=>([(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(6,5)],8)
[7,3,2,1,4,6,8,5]=>([(0,7),(1,7),(2,7),(3,6),(5,6),(7,4),(7,5)],8)
[4,7,2,6,1,8,3,5]=>([(0,4),(0,7),(1,4),(1,5),(2,3),(2,5),(2,6),(3,7),(4,6),(5,7)],8)
[7,5,3,2,1,6,8,4]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(7,5)],8)
[6,8,1,3,4,2,5,7]=>([(0,4),(0,7),(1,3),(1,5),(2,6),(3,6),(5,2),(6,7)],8)
[3,6,1,4,7,8,2,5]=>([(0,3),(0,6),(1,4),(1,6),(3,7),(4,5),(6,5),(6,7),(7,2)],8)
[2,5,7,1,3,6,4,8]=>([(0,6),(1,4),(1,6),(2,7),(3,7),(4,3),(4,5),(5,7),(6,2),(6,5)],8)
[1,4,7,2,5,3,6,8]=>([(0,3),(0,4),(1,6),(2,7),(3,1),(3,5),(4,2),(4,5),(5,7),(7,6)],8)
[4,5,3,1,2,6,8,7]=>([(0,7),(1,6),(2,5),(5,7),(6,7),(7,3),(7,4)],8)
[4,5,1,3,8,2,6,7]=>([(0,5),(1,2),(1,4),(2,7),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[4,1,5,3,2,7,6,8]=>([(0,4),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[7,3,5,1,4,2,6,8]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(3,7),(4,7),(5,7),(7,6)],8)
[6,2,1,7,4,3,8,5]=>([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
[2,4,3,6,7,1,5,8]=>([(0,7),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,5),(6,4),(7,5)],8)
[7,3,5,2,1,6,4,8]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(3,5),(4,7),(5,6),(7,6)],8)
[4,6,5,2,1,3,7,8]=>([(0,6),(1,6),(2,3),(2,4),(3,7),(4,7),(6,7),(7,5)],8)
[2,5,6,1,4,3,7,8]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(4,2),(5,7),(6,7),(7,3)],8)
[6,1,5,3,7,2,4,8]=>([(0,7),(1,2),(1,3),(1,4),(2,7),(3,5),(4,5),(4,7),(5,6),(7,6)],8)
[3,6,5,4,1,7,2,8]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(2,7),(3,7),(4,7),(5,6),(7,6)],8)
[6,8,7,5,4,2,1,3]=>([(2,7),(3,7),(4,5),(4,6)],8)
[1,6,8,7,3,2,4,5]=>([(0,4),(0,5),(0,6),(4,7),(5,7),(6,1),(6,2),(7,3)],8)
[8,7,5,4,6,1,3,2]=>([(2,7),(3,7),(4,5),(4,6)],8)
[1,7,8,2,4,6,3,5]=>([(0,5),(0,6),(3,7),(4,2),(4,7),(5,1),(6,3),(6,4)],8)
[7,5,4,8,1,3,6,2]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(5,7)],8)
[5,6,1,8,4,3,7,2]=>([(0,5),(1,2),(1,3),(1,4),(1,6),(3,7),(4,7),(5,6),(5,7)],8)
[1,8,2,6,7,5,4,3]=>([(0,5),(0,7),(6,4),(7,1),(7,2),(7,3),(7,6)],8)
[2,7,5,1,6,8,3,4]=>([(0,6),(0,7),(1,3),(1,4),(1,7),(3,6),(4,5),(6,5),(7,2)],8)
[8,5,4,2,7,3,6,1]=>([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[3,8,6,1,2,4,5,7]=>([(0,5),(1,2),(1,4),(1,7),(3,6),(4,6),(5,7),(7,3)],8)
[1,8,5,3,2,7,4,6]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[1,8,4,7,2,3,5,6]=>([(0,4),(0,5),(0,6),(2,7),(5,2),(6,1),(6,7),(7,3)],8)
[3,2,8,1,7,5,4,6]=>([(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(6,4),(7,4)],8)
[7,1,5,6,2,3,4,8]=>([(0,7),(1,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[6,5,1,7,2,3,4,8]=>([(0,7),(1,7),(2,3),(2,7),(3,5),(4,6),(5,4),(7,6)],8)
[1,6,8,2,7,3,4,5]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(5,7),(6,1),(6,7)],8)
[1,6,8,7,3,4,2,5]=>([(0,4),(0,5),(0,6),(3,7),(4,7),(5,3),(6,1),(6,2)],8)
[4,1,3,6,7,8,5,2]=>([(0,6),(0,7),(1,3),(1,4),(4,6),(4,7),(5,2),(7,5)],8)
[7,4,1,5,6,8,3,2]=>([(0,7),(1,6),(2,3),(2,4),(2,6),(5,7),(6,5)],8)
[4,1,2,6,7,8,5,3]=>([(0,6),(0,7),(1,4),(4,3),(4,6),(4,7),(5,2),(7,5)],8)
[3,7,8,2,1,4,5,6]=>([(0,7),(1,7),(2,5),(2,7),(5,4),(6,3),(7,6)],8)
[6,3,7,1,8,2,4,5]=>([(0,5),(1,5),(1,7),(2,3),(2,6),(3,7),(5,6),(7,4)],8)
[1,5,4,7,8,3,6,2]=>([(0,2),(0,3),(0,4),(0,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,1)],8)
[5,1,4,7,8,3,6,2]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(3,7),(4,6),(4,7),(6,5)],8)
[4,8,1,5,6,2,3,7]=>([(0,4),(0,7),(1,5),(1,7),(2,6),(3,6),(5,3),(7,2)],8)
[5,6,4,1,7,3,8,2]=>([(0,7),(1,4),(2,3),(2,5),(2,7),(4,7),(5,6),(7,6)],8)
[4,3,7,8,2,5,1,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(6,4),(7,5)],8)
[3,7,8,5,4,2,1,6]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3)],8)
[1,7,4,5,6,8,3,2]=>([(0,2),(0,3),(0,4),(0,6),(1,7),(4,7),(5,1),(6,5)],8)
[7,2,4,5,6,8,3,1]=>([(1,7),(2,3),(2,6),(4,7),(5,4),(6,5)],8)
[2,7,4,5,6,8,3,1]=>([(1,2),(1,4),(1,6),(3,7),(4,7),(5,3),(6,5)],8)
[2,4,7,8,3,1,6,5]=>([(0,6),(0,7),(1,3),(1,5),(3,6),(3,7),(4,2),(5,4),(5,6),(5,7)],8)
[5,4,3,6,8,1,7,2]=>([(0,7),(1,7),(2,7),(3,4),(3,6),(7,5),(7,6)],8)
[3,7,4,5,8,1,6,2]=>([(0,4),(0,7),(1,3),(1,5),(2,6),(2,7),(3,6),(5,2)],8)
[1,4,3,5,6,8,2,7]=>([(0,2),(0,3),(0,4),(2,6),(3,6),(4,7),(5,1),(5,7),(6,5)],8)
[1,4,6,5,8,2,7,3]=>([(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,1),(4,7),(5,2),(5,3)],8)
[4,6,1,7,3,2,8,5]=>([(0,4),(0,7),(1,2),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6)],8)
[1,7,3,6,4,2,8,5]=>([(0,3),(0,4),(0,5),(1,7),(2,6),(2,7),(3,7),(4,6),(4,7),(5,1),(5,2)],8)
[4,7,3,5,1,2,8,6]=>([(0,5),(1,4),(2,3),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,4,2,3,5,8,7]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(3,7),(4,1),(5,6),(5,7)],8)
[4,8,3,5,2,1,6,7]=>([(0,7),(1,7),(2,6),(3,4),(3,6),(6,7),(7,5)],8)
[1,6,8,4,7,5,3,2]=>([(0,3),(0,4),(0,5),(0,6),(5,2),(5,7),(6,1),(6,7)],8)
[4,7,1,6,8,2,3,5]=>([(0,3),(0,6),(0,7),(1,4),(1,7),(2,6),(3,5),(4,2),(7,5)],8)
[4,6,5,8,2,3,7,1]=>([(1,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,8,2,4,5,3,6]=>([(0,7),(1,5),(1,7),(2,6),(3,6),(4,3),(5,2),(5,4)],8)
[5,7,8,2,3,4,1,6]=>([(0,7),(1,5),(2,6),(2,7),(4,7),(5,4),(6,3)],8)
[5,2,3,8,7,1,4,6]=>([(0,3),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(7,4)],8)
[8,7,1,3,2,6,4,5]=>([(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[2,7,6,4,8,3,1,5]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(4,6),(5,6),(5,7)],8)
[2,6,3,7,5,8,4,1]=>([(1,4),(1,5),(3,7),(4,6),(5,2),(5,3),(5,6),(6,7)],8)
[7,5,1,2,3,8,4,6]=>([(0,3),(1,7),(2,6),(2,7),(3,5),(4,6),(5,4),(5,7)],8)
[8,6,2,1,3,7,4,5]=>([(1,7),(2,7),(3,6),(4,5),(7,4),(7,6)],8)
[4,2,3,6,8,5,7,1]=>([(1,6),(1,7),(2,4),(4,6),(4,7),(6,5),(7,3),(7,5)],8)
[4,7,3,2,6,5,1,8]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,3,7,8,2,1,6,5]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4)],8)
[4,8,7,2,1,5,6,3]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(7,5)],8)
[7,3,8,2,5,1,6,4]=>([(0,6),(0,7),(1,4),(2,5),(2,7),(3,4),(3,5),(3,7),(5,6)],8)
[4,5,3,8,6,1,2,7]=>([(0,5),(0,6),(1,3),(2,4),(3,7),(4,5),(4,6),(6,7)],8)
[6,3,5,8,4,1,2,7]=>([(0,6),(0,7),(1,4),(2,3),(2,5),(3,7),(4,7),(5,6),(5,7)],8)
[7,3,8,4,5,1,2,6]=>([(0,6),(1,3),(2,4),(2,6),(3,7),(4,5),(5,7)],8)
[4,8,7,5,1,2,6,3]=>([(0,6),(1,3),(1,4),(1,5),(5,7),(6,2),(6,7)],8)
[7,8,4,6,1,3,5,2]=>([(0,5),(1,6),(1,7),(2,3),(2,4),(4,7)],8)
[4,8,7,5,1,3,6,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(4,7),(6,7)],8)
[4,5,3,6,8,1,2,7]=>([(0,7),(1,3),(2,5),(3,7),(5,6),(7,4),(7,6)],8)
[7,8,6,2,1,4,3,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(5,7),(6,7)],8)
[7,8,6,3,1,2,5,4]=>([(1,6),(1,7),(2,4),(3,5),(5,6),(5,7)],8)
[5,2,8,4,7,1,3,6]=>([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(5,7)],8)
[7,3,1,2,8,6,5,4]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(3,4),(3,5),(3,6),(3,7)],8)
[8,7,1,3,2,4,5,6]=>([(2,4),(2,5),(4,7),(5,7),(6,3),(7,6)],8)
[6,8,2,1,4,5,3,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,7),(4,7),(5,7),(6,4)],8)
[1,5,4,8,7,3,2,6]=>([(0,1),(0,2),(0,3),(0,4),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,3,1,2,6,5,7,8]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(5,4),(6,5),(7,5)],8)
[7,5,8,1,2,4,6,3]=>([(0,3),(1,6),(2,6),(2,7),(3,4),(3,5),(5,7)],8)
[6,1,5,2,8,7,4,3]=>([(0,6),(0,7),(1,4),(1,5),(4,6),(4,7),(5,2),(5,3),(5,6),(5,7)],8)
[4,6,3,5,7,1,2,8]=>([(0,5),(1,3),(2,4),(2,5),(3,7),(4,6),(5,6),(6,7)],8)
[1,4,7,2,6,5,8,3]=>([(0,3),(0,4),(2,7),(3,1),(3,5),(3,6),(4,2),(4,5),(4,6),(5,7),(6,7)],8)
[1,5,7,2,6,4,8,3]=>([(0,4),(0,5),(2,7),(3,7),(4,3),(4,6),(5,1),(5,2),(5,6),(6,7)],8)
[7,2,4,6,1,8,3,5]=>([(0,7),(1,5),(1,7),(2,3),(2,5),(3,4),(3,6),(4,7),(5,6)],8)
[1,2,7,8,3,5,4,6]=>([(0,6),(2,7),(3,7),(4,1),(5,2),(5,3),(6,4),(6,5)],8)
[1,7,6,2,8,5,4,3]=>([(0,4),(0,5),(0,6),(4,7),(5,7),(6,1),(6,2),(6,3),(6,7)],8)
[1,2,7,8,3,4,6,5]=>([(0,7),(4,3),(5,6),(6,1),(6,2),(7,4),(7,5)],8)
[1,7,6,8,3,4,2,5]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1)],8)
[3,4,1,7,8,6,5,2]=>([(0,4),(1,3),(1,5),(1,6),(1,7),(4,5),(4,6),(4,7),(7,2)],8)
[2,4,8,6,5,7,1,3]=>([(0,7),(1,5),(1,7),(3,6),(4,6),(5,2),(5,3),(5,4)],8)
[5,1,3,4,8,2,7,6]=>([(0,5),(0,6),(0,7),(1,2),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,3)],8)
[8,7,3,6,1,4,2,5]=>([(2,4),(2,6),(3,5),(3,6),(5,7),(6,7)],8)
[6,5,1,8,3,4,7,2]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(4,5),(5,7)],8)
[8,2,1,5,6,4,7,3]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(6,3),(7,4)],8)
[7,5,6,1,3,4,8,2]=>([(0,7),(1,5),(2,3),(2,6),(4,7),(5,7),(6,4)],8)
[5,7,2,4,6,1,8,3]=>([(0,5),(0,7),(1,4),(1,6),(2,3),(2,5),(3,6),(4,7),(6,7)],8)
[2,1,5,6,3,8,7,4]=>([(0,6),(0,7),(1,6),(1,7),(3,4),(3,5),(6,3),(7,2),(7,4),(7,5)],8)
[3,2,7,5,8,6,4,1]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,4),(7,3),(7,4)],8)
[2,4,5,3,8,1,7,6]=>([(0,6),(0,7),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,2)],8)
[7,2,5,4,3,8,6,1]=>([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,3,1,2,6,7,4]=>([(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)
[7,2,5,1,3,6,8,4]=>([(0,6),(1,5),(2,4),(2,6),(4,7),(6,3),(6,7),(7,5)],8)
[8,4,7,3,1,2,6,5]=>([(1,6),(1,7),(2,5),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
[1,8,7,3,5,2,6,4]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(4,7),(5,1),(5,7)],8)
[2,4,8,3,6,5,7,1]=>([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6),(5,7),(6,7)],8)
[3,1,8,2,6,5,7,4]=>([(0,2),(0,5),(1,4),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(6,3),(7,3)],8)
[4,6,7,8,5,2,1,3]=>([(0,7),(1,7),(2,4),(2,6),(5,3),(6,5)],8)
[4,7,2,1,8,6,5,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,7)],8)
[5,6,2,8,4,1,7,3]=>([(0,5),(0,7),(1,4),(2,3),(2,5),(2,6),(3,7),(4,6),(4,7)],8)
[5,7,2,4,8,6,1,3]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(3,7),(4,6),(4,7)],8)
[6,7,2,4,8,5,1,3]=>([(0,6),(1,3),(2,4),(2,6),(3,7),(4,5),(4,7)],8)
[6,7,3,2,8,5,1,4]=>([(0,6),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,7)],8)
[7,2,3,1,8,6,5,4]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(3,4),(3,5),(3,6),(3,7)],8)
[7,2,8,3,5,6,1,4]=>([(0,6),(1,7),(2,3),(2,6),(3,5),(3,7),(5,4)],8)
[7,2,3,8,4,6,1,5]=>([(0,7),(1,3),(2,6),(3,5),(3,6),(5,4),(5,7)],8)
[1,7,3,4,8,5,2,6]=>([(0,2),(0,3),(0,5),(1,6),(2,6),(3,7),(4,1),(4,7),(5,4)],8)
[1,7,3,8,5,4,2,6]=>([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,6)],8)
[7,2,8,4,5,3,1,6]=>([(0,7),(1,6),(2,3),(2,4),(2,6),(3,5),(4,7),(5,7)],8)
[2,8,6,4,3,1,7,5]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,3,4,8,2,5,6]=>([(0,3),(0,4),(0,5),(2,6),(2,7),(3,7),(4,6),(5,2),(7,1)],8)
[1,5,8,3,4,6,2,7]=>([(0,3),(0,4),(0,5),(2,6),(3,7),(4,2),(5,1),(5,6),(6,7)],8)
[1,3,8,4,2,5,7,6]=>([(0,5),(0,6),(2,7),(5,7),(6,1),(6,2),(7,3),(7,4)],8)
[1,4,7,6,2,3,8,5]=>([(0,4),(0,5),(1,7),(2,7),(3,6),(3,7),(4,3),(5,1),(5,2),(5,6)],8)
[1,8,4,6,7,2,3,5]=>([(0,3),(0,5),(0,6),(2,7),(4,1),(5,2),(6,4),(6,7)],8)
[1,4,2,3,7,8,6,5]=>([(0,3),(0,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,2),(7,1)],8)
[5,7,1,6,4,8,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(4,7),(5,7),(6,7)],8)
[7,4,5,8,1,3,6,2]=>([(0,6),(1,5),(2,3),(2,4),(4,7),(5,6),(5,7)],8)
[1,4,3,6,2,5,8,7]=>([(0,1),(0,2),(0,3),(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(4,6),(7,5),(7,6)],8)
[1,3,6,5,8,2,4,7]=>([(0,3),(0,4),(1,5),(1,7),(2,5),(2,7),(3,6),(4,1),(4,2),(4,6),(6,7)],8)
[1,4,6,3,2,8,5,7]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(2,7),(3,6),(3,7),(4,1),(4,7),(7,5)],8)
[6,8,4,1,5,7,2,3]=>([(0,6),(1,3),(1,7),(2,4),(2,6),(4,5),(6,7)],8)
[5,2,6,7,4,1,8,3]=>([(0,6),(1,5),(1,7),(2,4),(2,5),(2,6),(3,7),(4,7),(6,3)],8)
[8,5,6,4,1,7,3,2]=>([(1,7),(2,6),(3,4),(3,5),(3,7),(6,7)],8)
[7,8,3,1,6,4,5,2]=>([(0,6),(0,7),(1,3),(2,4),(2,6),(2,7),(7,5)],8)
[5,8,2,6,3,1,7,4]=>([(0,6),(0,7),(1,3),(1,5),(2,4),(2,5),(4,6),(4,7),(5,7)],8)
[4,5,8,1,6,3,7,2]=>([(0,5),(1,3),(1,4),(1,6),(4,7),(5,2),(5,6),(6,7)],8)
[8,1,4,6,2,5,7,3]=>([(1,4),(1,5),(3,7),(4,2),(4,6),(5,3),(5,6),(6,7)],8)
[4,5,8,1,6,2,7,3]=>([(0,5),(0,7),(1,4),(4,3),(4,7),(5,2),(5,6),(7,6)],8)
[5,2,6,8,1,4,3,7]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3),(6,7)],8)
[6,7,3,8,2,1,4,5]=>([(0,7),(1,7),(2,6),(2,7),(3,5),(5,6),(7,4)],8)
[2,7,3,5,4,1,8,6]=>([(0,6),(0,7),(1,2),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,3),(5,4)],8)
[2,6,3,7,4,1,8,5]=>([(0,6),(0,7),(1,3),(1,4),(2,6),(2,7),(3,5),(4,2),(4,5),(5,7)],8)
[2,1,4,8,5,3,7,6]=>([(0,6),(0,7),(1,6),(1,7),(3,4),(3,5),(6,2),(6,3),(7,4),(7,5)],8)
[2,7,3,8,4,1,6,5]=>([(0,6),(0,7),(1,2),(1,4),(2,5),(3,6),(3,7),(4,3),(4,5)],8)
[2,6,3,1,5,4,8,7]=>([(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,8,3,4,7,2,6]=>([(0,3),(0,4),(0,5),(2,6),(2,7),(3,7),(4,2),(5,1),(5,6),(5,7)],8)
[5,3,8,1,4,6,2,7]=>([(0,3),(0,7),(1,5),(1,7),(2,5),(2,6),(3,4),(6,4),(7,6)],8)
[4,5,8,1,3,6,2,7]=>([(0,5),(1,3),(1,4),(3,7),(4,6),(5,2),(5,6),(6,7)],8)
[7,4,6,5,2,8,3,1]=>([(1,7),(2,4),(2,7),(3,5),(3,6),(5,7),(6,7)],8)
[4,1,3,8,5,7,6,2]=>([(0,6),(0,7),(1,4),(1,5),(5,6),(5,7),(7,2),(7,3)],8)
[4,1,3,7,2,8,6,5]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8)
[4,6,3,1,7,2,8,5]=>([(0,6),(0,7),(1,4),(1,7),(2,3),(2,6),(3,7),(4,5),(4,6),(7,5)],8)
[7,2,6,3,1,8,5,4]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,7),(4,5),(4,6),(4,7)],8)
[4,8,7,2,5,3,1,6]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(5,7),(6,7)],8)
[1,6,3,2,8,7,4,5]=>([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,1)],8)
[2,8,1,7,5,4,6,3]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(6,3),(7,3)],8)
[6,8,3,1,5,7,2,4]=>([(0,5),(0,7),(1,3),(1,6),(2,4),(2,5),(4,7),(5,6)],8)
[8,7,3,1,2,5,6,4]=>([(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)
[7,4,5,1,2,6,8,3]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(4,7),(7,6)],8)
[5,4,3,6,1,7,8,2]=>([(0,7),(1,7),(2,7),(3,4),(3,6),(6,5),(7,6)],8)
[3,2,7,8,5,6,1,4]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(5,4),(6,3)],8)
[4,8,3,2,1,7,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[1,8,4,5,6,3,2,7]=>([(0,2),(0,3),(0,4),(0,6),(1,7),(3,7),(4,7),(5,1),(6,5)],8)
[8,5,1,7,4,6,3,2]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(5,7)],8)
[1,3,7,8,4,6,2,5]=>([(0,3),(0,6),(3,7),(4,2),(5,1),(5,7),(6,4),(6,5)],8)
[4,8,7,3,6,1,2,5]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(2,6),(2,7),(5,7)],8)
[5,8,4,3,7,1,2,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7),(5,7)],8)
[5,6,4,8,7,2,1,3]=>([(0,5),(1,5),(2,6),(2,7),(3,4),(4,6),(4,7)],8)
[4,8,3,7,6,1,2,5]=>([(0,5),(0,6),(0,7),(1,4),(2,3),(2,5),(2,6),(2,7),(4,7)],8)
[2,8,4,7,1,3,6,5]=>([(0,7),(1,3),(1,4),(1,7),(4,2),(4,5),(4,6),(7,5),(7,6)],8)
[6,8,3,4,5,2,1,7]=>([(0,7),(1,7),(2,5),(3,4),(3,7),(5,6),(6,7)],8)
[3,7,1,4,5,6,2,8]=>([(0,4),(0,6),(1,3),(1,6),(2,7),(3,7),(4,7),(5,2),(6,5)],8)
[3,6,1,4,5,2,7,8]=>([(0,5),(0,6),(1,4),(1,6),(3,7),(4,7),(5,7),(6,3),(7,2)],8)
[3,8,2,4,5,1,7,6]=>([(0,5),(1,6),(1,7),(2,3),(2,5),(4,6),(4,7),(5,4)],8)
[3,7,2,1,5,6,4,8]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[3,6,8,1,5,4,7,2]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(4,2),(4,7),(5,7),(6,7)],8)
[1,7,4,6,3,5,2,8]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,6),(6,7)],8)
[1,3,6,5,7,2,4,8]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6),(5,7),(6,7)],8)
[1,7,2,5,6,4,3,8]=>([(0,4),(0,6),(1,7),(2,7),(3,7),(4,7),(5,3),(6,1),(6,2),(6,5)],8)
[1,6,8,5,4,3,7,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(3,7),(4,7),(5,7),(6,1),(6,7)],8)
[2,5,7,8,4,3,1,6]=>([(0,7),(1,3),(1,4),(1,6),(3,7),(4,7),(5,2),(6,5),(6,7)],8)
[6,8,5,3,2,4,1,7]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(4,7),(6,7)],8)
[1,6,8,5,3,2,7,4]=>([(0,2),(0,3),(0,4),(0,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,7)],8)
[4,6,1,8,7,5,3,2]=>([(0,4),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(4,5),(4,6)],8)
[1,3,7,6,8,5,2,4]=>([(0,4),(0,5),(2,6),(3,6),(4,7),(5,1),(5,2),(5,3),(5,7)],8)
[4,1,7,8,6,5,2,3]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(4,3),(7,2)],8)
[5,4,3,7,6,1,2,8]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,7),(5,7),(6,7)],8)
[4,7,6,1,2,3,8,5]=>([(0,5),(1,2),(1,3),(1,6),(2,7),(3,7),(4,6),(4,7),(5,4)],8)
[4,5,2,6,7,8,1,3]=>([(0,6),(1,6),(1,7),(2,3),(3,7),(4,5),(7,4)],8)
[1,7,6,2,3,8,5,4]=>([(0,3),(0,4),(0,5),(3,7),(4,7),(5,6),(6,1),(6,2),(6,7)],8)
[4,5,1,3,7,6,2,8]=>([(0,4),(1,2),(1,3),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,2,3,8,6,4,5,1]=>([(1,7),(2,6),(5,4),(6,3),(6,5),(6,7)],8)
[1,5,4,3,8,6,2,7]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(7,5)],8)
[1,3,7,5,8,4,6,2]=>([(0,4),(0,5),(1,7),(2,6),(3,6),(3,7),(5,1),(5,2),(5,3)],8)
[5,8,1,2,7,6,4,3]=>([(0,5),(1,4),(1,6),(1,7),(5,2),(5,3),(5,6),(5,7)],8)
[1,6,7,4,5,3,2,8]=>([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,2),(6,1)],8)
[1,4,2,6,7,5,3,8]=>([(0,3),(0,4),(1,7),(2,7),(3,5),(3,6),(4,2),(4,5),(4,6),(5,7),(6,1)],8)
[1,8,2,4,6,5,3,7]=>([(0,4),(0,6),(1,7),(2,7),(3,7),(5,2),(5,3),(6,1),(6,5)],8)
[7,2,1,6,4,3,8,5]=>([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,3),(5,7),(6,3),(6,7)],8)
[1,4,8,7,2,3,6,5]=>([(0,4),(0,5),(3,6),(3,7),(4,3),(5,1),(5,2),(5,6),(5,7)],8)
[4,1,3,6,5,8,2,7]=>([(0,2),(0,3),(1,5),(1,6),(2,7),(3,5),(3,6),(5,4),(5,7),(6,4),(6,7)],8)
[4,3,7,1,5,8,2,6]=>([(0,4),(0,7),(1,4),(1,7),(2,3),(2,7),(3,6),(4,5),(7,5),(7,6)],8)
[1,8,6,5,2,7,4,3]=>([(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,1),(6,2),(6,7)],8)
[1,8,6,2,7,4,3,5]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(4,7),(5,1),(5,2),(5,7)],8)
[6,4,1,8,3,7,5,2]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(4,5),(4,7)],8)
[4,5,8,7,3,6,2,1]=>([(2,4),(3,7),(4,5),(4,6),(4,7)],8)
[3,5,4,1,7,8,6,2]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(7,2)],8)
[6,8,7,2,1,5,4,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4)],8)
[8,1,6,3,7,5,4,2]=>([(1,4),(1,5),(1,6),(5,7),(6,2),(6,3),(6,7)],8)
[8,5,1,3,7,6,4,2]=>([(1,6),(1,7),(2,3),(2,4),(4,5),(4,6),(4,7)],8)
[8,3,6,5,4,2,1,7]=>([(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[6,1,3,5,7,2,8,4]=>([(0,7),(1,3),(1,4),(2,7),(3,5),(3,6),(4,2),(4,6),(7,5)],8)
[2,8,1,5,6,4,3,7]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,7),(4,7),(5,7),(6,2)],8)
[1,6,7,5,8,4,2,3]=>([(0,3),(0,4),(0,5),(0,6),(2,7),(4,7),(5,1),(6,2)],8)
[7,4,1,6,5,2,8,3]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,2,8,6,5,3,1]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[6,8,4,7,3,2,5,1]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6)],8)
[5,8,7,3,2,1,6,4]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8)
[5,8,7,2,6,4,3,1]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,7)],8)
[6,8,7,3,5,1,4,2]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4)],8)
[7,2,5,6,8,3,4,1]=>([(1,7),(2,5),(2,6),(4,7),(5,3),(6,4)],8)
[1,6,5,7,8,3,2,4]=>([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,6),(7,1)],8)
[8,6,7,2,3,5,4,1]=>([(2,4),(3,5),(5,6),(5,7)],8)
[5,4,8,6,7,3,1,2]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(7,4)],8)
[4,2,7,3,1,6,8,5]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(7,5)],8)
[7,3,6,4,2,1,8,5]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[4,8,5,2,7,3,1,6]=>([(0,7),(1,4),(1,6),(2,3),(2,5),(4,7),(5,6),(5,7)],8)
[6,4,3,1,8,5,2,7]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
[7,4,3,1,5,8,6,2]=>([(0,7),(1,7),(2,6),(3,4),(3,7),(7,5),(7,6)],8)
[7,4,8,6,5,3,1,2]=>([(1,7),(2,6),(3,4),(3,5),(3,7)],8)
[4,8,5,2,6,7,3,1]=>([(1,4),(1,7),(2,3),(2,5),(5,7),(7,6)],8)
[7,3,2,1,8,5,6,4]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4)],8)
[1,5,7,2,4,3,8,6]=>([(0,4),(0,5),(1,6),(2,6),(2,7),(3,6),(3,7),(4,1),(4,7),(5,2),(5,3)],8)
[1,2,7,5,8,4,3,6]=>([(0,5),(1,7),(2,7),(3,6),(4,6),(4,7),(5,1),(5,2),(5,3),(5,4)],8)
[5,1,3,8,2,7,4,6]=>([(0,2),(0,3),(1,4),(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4)],8)
[5,7,1,3,2,8,4,6]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(2,7),(3,5),(3,7),(4,7),(5,6)],8)
[7,1,6,3,2,8,4,5]=>([(0,7),(1,2),(1,3),(1,4),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[8,1,7,2,3,6,5,4]=>([(1,5),(1,6),(6,7),(7,2),(7,3),(7,4)],8)
[7,1,2,6,4,3,8,5]=>([(0,7),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3),(5,4)],8)
[1,4,7,8,3,2,5,6]=>([(0,3),(0,4),(0,6),(3,7),(4,7),(5,1),(6,5),(6,7),(7,2)],8)
[8,7,1,3,2,4,6,5]=>([(2,3),(2,4),(3,7),(4,7),(7,5),(7,6)],8)
[8,1,6,3,2,4,7,5]=>([(1,3),(1,4),(1,5),(3,7),(4,7),(5,6),(7,2),(7,6)],8)
[1,8,2,7,6,3,5,4]=>([(0,5),(0,7),(6,3),(6,4),(7,1),(7,2),(7,6)],8)
[8,1,6,3,2,7,4,5]=>([(1,2),(1,3),(1,4),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[8,2,1,7,6,3,4,5]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(7,3)],8)
[8,7,2,4,3,1,5,6]=>([(2,7),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[4,7,6,2,3,1,5,8]=>([(0,6),(1,5),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6),(6,7)],8)
[4,7,6,1,3,2,8,5]=>([(0,4),(0,5),(1,2),(1,3),(1,6),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,1,3,5,6,4,7]=>([(0,7),(1,2),(1,7),(3,6),(4,6),(5,4),(7,3),(7,5)],8)
[2,6,3,4,7,8,5,1]=>([(1,3),(1,5),(3,7),(5,6),(6,2),(6,7),(7,4)],8)
[7,6,3,1,8,5,2,4]=>([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6)],8)
[7,2,1,3,6,8,5,4]=>([(0,7),(1,6),(2,6),(5,7),(6,3),(6,4),(6,5)],8)
[7,6,3,8,1,5,2,4]=>([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6)],8)
[1,6,4,7,8,5,3,2]=>([(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,7),(7,2)],8)
[7,2,5,8,6,1,3,4]=>([(0,7),(1,6),(2,3),(2,6),(3,5),(3,7),(6,4)],8)
[4,1,3,6,2,5,8,7]=>([(0,2),(0,3),(1,6),(1,7),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[7,1,4,6,3,2,5,8]=>([(0,7),(1,3),(1,4),(1,5),(2,7),(3,6),(4,6),(5,2),(5,6),(6,7)],8)
[7,4,5,8,6,2,3,1]=>([(1,7),(2,4),(3,5),(5,6),(5,7)],8)
[6,7,2,3,8,4,1,5]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(4,7),(5,6)],8)
[2,7,8,1,5,4,3,6]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,2),(4,7),(5,7),(6,7)],8)
[1,5,2,6,8,7,4,3]=>([(0,5),(0,6),(5,7),(6,1),(6,2),(6,7),(7,3),(7,4)],8)
[1,8,3,7,5,2,6,4]=>([(0,3),(0,4),(0,5),(2,6),(4,6),(4,7),(5,1),(5,2),(5,7)],8)
[8,1,3,6,5,2,7,4]=>([(1,4),(1,5),(2,7),(3,7),(4,6),(4,7),(5,2),(5,3),(5,6)],8)
[7,1,3,8,5,2,6,4]=>([(0,7),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6),(4,7)],8)
[4,7,1,5,2,6,8,3]=>([(0,3),(0,7),(1,4),(1,7),(3,6),(4,2),(4,5),(5,6),(7,5)],8)
[7,4,1,5,2,6,8,3]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(3,7),(5,7),(7,6)],8)
[3,1,6,7,5,2,8,4]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(3,4),(3,7),(5,7),(6,2)],8)
[8,6,2,4,5,1,7,3]=>([(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(5,7)],8)
[8,6,7,5,2,1,4,3]=>([(2,6),(2,7),(3,6),(3,7),(4,5)],8)
[7,1,4,5,2,6,8,3]=>([(0,7),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6),(6,7)],8)
[4,1,6,2,3,8,7,5]=>([(0,2),(0,7),(1,6),(1,7),(2,3),(3,4),(3,5),(3,6),(7,4),(7,5)],8)
[4,1,7,6,5,2,8,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,2),(3,7),(4,7),(5,7),(6,7)],8)
[8,4,1,5,6,2,7,3]=>([(1,6),(2,3),(2,6),(3,5),(3,7),(4,7),(6,4)],8)
[8,4,5,3,6,1,7,2]=>([(1,7),(2,5),(3,4),(3,6),(5,7),(7,6)],8)
[2,8,4,7,3,5,6,1]=>([(1,3),(1,4),(1,6),(4,7),(6,2),(6,7),(7,5)],8)
[1,5,4,8,3,2,6,7]=>([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(7,1)],8)
[1,5,7,6,3,8,2,4]=>([(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(4,7),(5,1),(5,2)],8)
[2,6,3,1,7,8,4,5]=>([(0,6),(0,7),(1,2),(1,4),(2,7),(4,6),(4,7),(6,5),(7,3)],8)
[2,1,7,8,3,5,4,6]=>([(0,6),(0,7),(1,6),(1,7),(3,5),(4,5),(6,2),(7,3),(7,4)],8)
[1,5,8,6,7,4,2,3]=>([(0,4),(0,6),(0,7),(5,3),(6,1),(7,2),(7,5)],8)
[8,7,1,3,5,2,6,4]=>([(2,3),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
[3,7,8,2,5,4,1,6]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(5,7),(6,7)],8)
[4,7,6,5,8,1,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,7),(3,7),(4,7)],8)
[4,7,8,6,2,1,5,3]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(4,5)],8)
[4,8,6,3,2,1,7,5]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(5,7)],8)
[5,1,4,7,6,8,3,2]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(4,6),(4,7),(6,5),(7,5)],8)
[5,6,4,7,1,8,3,2]=>([(0,7),(1,5),(2,3),(2,4),(2,6),(5,7),(7,6)],8)
[5,3,7,4,6,1,8,2]=>([(0,5),(0,6),(1,3),(1,7),(2,4),(2,5),(4,6),(5,7),(6,7)],8)
[4,1,5,7,8,6,3,2]=>([(0,7),(1,3),(1,4),(1,7),(6,2),(7,5),(7,6)],8)
[3,6,7,1,5,4,8,2]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(4,2),(5,7),(6,7)],8)
[3,6,4,7,5,8,2,1]=>([(2,3),(2,4),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[8,1,7,3,2,4,5,6]=>([(1,3),(1,4),(1,5),(4,7),(5,7),(6,2),(7,6)],8)
[6,4,7,1,5,2,8,3]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,5,2,8,7,4,3]=>([(0,3),(0,4),(0,5),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,6),(5,7)],8)
[4,1,7,2,5,8,3,6]=>([(0,3),(0,6),(1,6),(1,7),(2,5),(3,2),(3,7),(6,4),(7,4),(7,5)],8)
[3,2,5,8,6,1,7,4]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(4,6),(5,3),(5,4)],8)
[4,5,1,7,2,8,6,3]=>([(0,3),(1,4),(1,7),(3,6),(3,7),(4,2),(4,5),(4,6),(7,5)],8)
[4,7,1,8,5,3,6,2]=>([(0,4),(0,7),(1,2),(1,3),(1,6),(1,7),(3,5),(4,6),(7,5)],8)
[6,4,7,2,5,3,1,8]=>([(0,7),(1,5),(2,5),(2,6),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[7,1,4,3,6,8,2,5]=>([(0,6),(1,2),(1,3),(1,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[4,8,7,3,5,1,6,2]=>([(0,6),(1,5),(1,7),(2,3),(2,4),(2,6),(6,7)],8)
[5,3,8,7,1,6,2,4]=>([(0,4),(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,7),(3,6)],8)
[5,2,6,7,4,3,1,8]=>([(0,7),(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(5,7),(6,5)],8)
[8,5,1,6,4,3,2,7]=>([(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[8,6,3,5,2,7,1,4]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[8,4,6,2,1,5,7,3]=>([(1,5),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(7,6)],8)
[8,5,2,1,6,4,7,3]=>([(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(5,6),(7,6)],8)
[1,7,2,8,5,4,6,3]=>([(0,4),(0,5),(2,6),(3,6),(4,7),(5,1),(5,2),(5,3),(5,7)],8)
[6,7,1,4,8,5,3,2]=>([(0,5),(1,3),(1,4),(1,6),(5,7),(6,2),(6,7)],8)
[7,3,2,8,5,1,4,6]=>([(0,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(7,5)],8)
[4,1,7,3,2,8,5,6]=>([(0,5),(0,7),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(7,2)],8)
[8,3,5,2,4,7,1,6]=>([(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,7,8,6,1,5,2]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,7),(6,3)],8)
[1,2,6,3,7,8,5,4]=>([(0,6),(3,7),(5,1),(5,2),(5,7),(6,3),(6,5),(7,4)],8)
[6,1,3,7,8,5,4,2]=>([(0,7),(1,4),(1,6),(6,2),(6,3),(6,7),(7,5)],8)
[2,6,4,7,5,3,1,8]=>([(0,7),(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(5,2),(5,6),(6,7)],8)
[4,5,1,8,6,2,7,3]=>([(0,3),(1,4),(1,6),(1,7),(3,6),(3,7),(4,2),(4,5),(7,5)],8)
[5,6,1,8,7,2,3,4]=>([(0,3),(1,5),(1,6),(1,7),(3,6),(3,7),(4,2),(5,4)],8)
[4,5,1,6,8,7,3,2]=>([(0,6),(1,2),(1,3),(1,7),(6,7),(7,4),(7,5)],8)
[3,8,6,1,5,2,4,7]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(3,7),(4,5),(5,7),(6,7)],8)
[3,2,8,1,5,6,4,7]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(6,5),(7,3)],8)
[5,8,7,3,2,1,4,6]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(7,6)],8)
[3,4,7,6,8,2,1,5]=>([(0,3),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
[2,8,1,3,7,5,6,4]=>([(0,7),(1,3),(1,7),(6,2),(7,4),(7,5),(7,6)],8)
[1,8,7,2,5,6,4,3]=>([(0,4),(0,5),(0,7),(6,3),(7,1),(7,2),(7,6)],8)
[3,4,7,1,5,8,2,6]=>([(0,3),(0,7),(1,4),(2,5),(3,6),(4,2),(4,7),(7,5),(7,6)],8)
[4,2,7,1,5,8,3,6]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(5,3),(6,4),(7,3),(7,4)],8)
[1,4,7,5,2,3,6,8]=>([(0,4),(0,5),(1,7),(2,6),(3,6),(4,3),(5,1),(5,2),(6,7)],8)
[2,5,7,6,8,3,4,1]=>([(1,5),(1,6),(3,7),(4,7),(5,2),(6,3),(6,4)],8)
[3,1,6,7,2,8,5,4]=>([(0,3),(0,7),(1,4),(1,5),(1,7),(2,6),(3,4),(3,5),(3,6),(7,2)],8)
[1,5,3,6,8,4,7,2]=>([(0,3),(0,4),(0,5),(2,6),(4,7),(5,2),(5,7),(7,1),(7,6)],8)
[6,5,1,3,8,4,7,2]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(4,5),(4,7),(5,6)],8)
[1,7,4,8,5,3,2,6]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,6)],8)
[7,3,1,6,8,4,5,2]=>([(0,6),(1,5),(1,7),(2,4),(2,5),(2,7),(5,6),(7,3)],8)
[8,5,1,4,6,7,3,2]=>([(1,7),(2,3),(2,4),(2,5),(5,7),(7,6)],8)
[3,4,7,5,6,8,2,1]=>([(2,6),(3,7),(4,7),(5,4),(6,3),(6,5)],8)
[3,4,7,8,5,2,6,1]=>([(1,7),(2,6),(4,7),(5,3),(6,4),(6,5)],8)
[4,8,1,7,5,6,3,2]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(7,2)],8)
[1,8,7,5,2,6,3,4]=>([(0,2),(0,3),(0,4),(0,6),(4,7),(5,1),(6,5),(6,7)],8)
[1,7,6,3,4,5,8,2]=>([(0,2),(0,3),(0,4),(0,6),(1,7),(3,7),(4,7),(5,1),(6,5)],8)
[1,8,7,4,5,6,2,3]=>([(0,3),(0,4),(0,6),(0,7),(5,1),(6,2),(7,5)],8)
[1,8,7,3,6,4,2,5]=>([(0,3),(0,4),(0,5),(0,6),(2,7),(5,7),(6,1),(6,2)],8)
[1,4,7,5,8,2,6,3]=>([(0,4),(0,5),(2,6),(3,6),(3,7),(4,1),(4,7),(5,2),(5,3)],8)
[1,4,7,2,3,6,5,8]=>([(0,3),(0,4),(1,7),(2,5),(2,6),(3,2),(4,1),(4,5),(4,6),(5,7),(6,7)],8)
[1,7,2,5,6,3,4,8]=>([(0,3),(0,6),(1,7),(2,7),(3,7),(4,2),(5,1),(6,4),(6,5)],8)
[1,2,6,5,8,3,4,7]=>([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,1),(5,2),(5,3),(5,4)],8)
[1,5,8,2,6,3,4,7]=>([(0,4),(0,5),(2,7),(3,2),(4,3),(4,6),(5,1),(5,6),(6,7)],8)
[6,8,3,2,7,5,1,4]=>([(0,6),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7)],8)
[7,3,6,8,1,2,5,4]=>([(0,7),(1,4),(2,3),(2,5),(2,6),(3,7),(4,5),(4,6)],8)
[4,1,5,7,2,6,3,8]=>([(0,6),(1,4),(1,6),(2,7),(3,7),(4,3),(4,5),(5,7),(6,2),(6,5)],8)
[5,7,2,1,3,6,4,8]=>([(0,6),(1,6),(2,4),(2,5),(3,7),(4,7),(5,7),(6,3),(6,5)],8)
[3,5,6,7,2,4,1,8]=>([(0,7),(1,6),(2,3),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[6,4,7,5,2,3,1,8]=>([(0,7),(1,6),(2,5),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[1,5,6,4,8,3,2,7]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(2,7),(3,7),(4,6),(4,7),(5,1)],8)
[2,1,5,6,4,8,3,7]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,7),(4,7),(5,2),(6,3),(6,7)],8)
[5,1,4,7,8,6,2,3]=>([(0,6),(0,7),(1,4),(1,5),(4,6),(4,7),(5,3),(7,2)],8)
[1,6,7,2,8,5,4,3]=>([(0,5),(0,6),(4,7),(5,4),(6,1),(6,2),(6,3),(6,7)],8)
[5,3,2,1,7,8,6,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[7,4,3,8,6,1,5,2]=>([(0,6),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7)],8)
[4,3,7,1,5,8,6,2]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,7),(5,6),(7,4),(7,6)],8)
[8,2,4,5,3,1,7,6]=>([(1,6),(1,7),(2,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,3,2,7,5,8,6]=>([(0,2),(0,3),(0,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,1),(7,5)],8)
[4,8,7,2,6,1,3,5]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(5,7)],8)
[4,5,8,2,1,7,3,6]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(3,4),(3,6),(3,7),(5,6)],8)
[6,8,4,1,7,3,2,5]=>([(0,6),(0,7),(1,3),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[6,3,1,8,2,7,5,4]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(3,4),(3,5),(3,7)],8)
[4,1,7,8,3,2,5,6]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(6,5),(7,4)],8)
[7,6,2,8,4,5,3,1]=>([(1,7),(2,7),(3,4),(3,5),(3,7),(5,6)],8)
[5,8,2,1,3,6,4,7]=>([(0,6),(1,6),(2,3),(2,5),(4,7),(5,7),(6,4),(6,5)],8)
[8,5,1,7,3,4,6,2]=>([(1,6),(1,7),(2,3),(2,4),(2,6),(4,5),(5,7)],8)
[5,7,6,3,4,1,8,2]=>([(0,6),(1,5),(1,7),(2,3),(2,4),(3,7),(4,7),(6,7)],8)
[1,8,3,5,2,6,4,7]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(3,6),(4,1),(4,6),(5,7),(6,7)],8)
[3,4,6,1,8,5,7,2]=>([(0,4),(1,3),(1,6),(1,7),(2,5),(2,6),(4,2),(4,7),(7,5)],8)
[2,3,8,7,4,5,1,6]=>([(0,7),(1,6),(4,7),(5,4),(6,2),(6,3),(6,5)],8)
[1,8,3,5,7,4,2,6]=>([(0,3),(0,4),(0,6),(2,7),(4,7),(5,1),(5,7),(6,2),(6,5)],8)
[2,5,8,4,6,7,1,3]=>([(0,6),(1,4),(1,5),(1,6),(4,7),(5,3),(5,7),(7,2)],8)
[7,1,2,6,4,3,5,8]=>([(0,7),(1,5),(2,7),(3,6),(4,6),(5,2),(5,3),(5,4),(6,7)],8)
[7,1,2,6,5,3,4,8]=>([(0,7),(1,6),(2,7),(3,7),(4,7),(5,4),(6,2),(6,3),(6,5)],8)
[4,7,8,6,2,3,5,1]=>([(1,5),(2,4),(2,6),(2,7),(5,7),(6,3)],8)
[7,1,2,4,8,6,5,3]=>([(0,7),(1,5),(5,4),(5,6),(6,2),(6,3),(6,7)],8)
[2,7,5,6,4,8,1,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,2)],8)
[2,8,3,6,5,7,1,4]=>([(0,7),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4),(5,7)],8)
[7,4,3,1,6,5,2,8]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[3,5,1,2,6,8,7,4]=>([(0,5),(1,4),(1,6),(4,7),(5,6),(5,7),(7,2),(7,3)],8)
[3,1,2,4,8,7,5,6]=>([(0,7),(1,3),(3,7),(6,2),(7,4),(7,5),(7,6)],8)
[5,4,1,2,3,7,8,6]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(4,5),(5,6),(5,7),(7,3)],8)
[1,6,7,2,5,8,3,4]=>([(0,5),(0,6),(2,7),(3,7),(4,1),(5,2),(6,3),(6,4)],8)
[7,8,5,6,2,4,3,1]=>([(1,5),(2,4),(3,6),(3,7)],8)
[5,3,8,6,2,4,1,7]=>([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[2,7,4,6,3,8,1,5]=>([(0,7),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(4,7),(5,2),(5,7)],8)
[5,4,7,8,6,2,1,3]=>([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(7,4)],8)
[2,7,4,8,3,1,5,6]=>([(0,7),(1,2),(1,4),(1,5),(2,7),(4,6),(5,6),(5,7),(7,3)],8)
[8,2,1,3,7,4,6,5]=>([(1,7),(2,7),(6,3),(6,4),(7,5),(7,6)],8)
[6,5,8,2,3,4,7,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,7)],8)
[7,8,2,3,6,4,5,1]=>([(1,5),(2,7),(6,4),(7,3),(7,6)],8)
[8,1,2,7,5,3,4,6]=>([(1,6),(3,7),(4,7),(5,4),(6,2),(6,3),(6,5)],8)
[4,2,8,1,3,7,5,6]=>([(0,7),(1,5),(1,7),(2,4),(2,5),(2,6),(6,3),(7,4),(7,6)],8)
[7,5,1,8,2,3,4,6]=>([(0,7),(1,3),(1,7),(2,6),(2,7),(3,5),(4,6),(5,4)],8)
[8,2,4,1,3,7,5,6]=>([(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[8,1,6,2,3,7,4,5]=>([(1,3),(1,5),(3,7),(4,2),(5,6),(6,4),(6,7)],8)
[7,1,8,2,3,6,4,5]=>([(0,7),(1,5),(1,7),(4,3),(5,6),(6,2),(6,4)],8)
[4,2,6,7,5,1,8,3]=>([(0,5),(0,6),(1,4),(1,7),(2,4),(2,5),(2,6),(3,7),(5,7),(6,3)],8)
[4,7,2,5,3,8,1,6]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,7,4,2,8,1,6]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
[2,4,7,6,3,8,1,5]=>([(0,7),(1,4),(1,5),(2,6),(3,6),(4,6),(4,7),(5,2),(5,3),(5,7)],8)
[4,6,8,5,1,2,3,7]=>([(0,6),(1,4),(1,5),(3,7),(4,7),(5,2),(5,7),(6,3)],8)
[4,6,5,7,1,2,3,8]=>([(0,5),(1,3),(1,4),(2,7),(3,6),(4,6),(5,2),(6,7)],8)
[4,6,5,7,1,3,8,2]=>([(0,2),(0,3),(1,4),(1,5),(3,7),(4,6),(5,6),(6,7)],8)
[3,4,7,6,1,8,2,5]=>([(0,5),(1,4),(1,7),(2,7),(3,7),(4,6),(5,2),(5,3),(5,6)],8)
[8,5,2,1,6,3,4,7]=>([(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,4),(7,6)],8)
[7,1,8,5,3,2,4,6]=>([(0,7),(1,2),(1,3),(1,4),(1,7),(2,6),(3,5),(4,5),(5,6)],8)
[8,2,7,5,4,1,6,3]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[4,2,8,5,7,1,6,3]=>([(0,4),(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(7,3),(7,4)],8)
[6,8,7,4,5,3,2,1]=>([(3,7),(4,5),(4,6)],8)
[5,2,6,7,4,8,3,1]=>([(1,6),(2,3),(2,4),(2,6),(4,7),(5,7),(6,5)],8)
[6,5,8,1,7,3,2,4]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(4,6)],8)
[6,4,8,1,5,2,3,7]=>([(0,5),(0,7),(1,5),(1,6),(2,3),(2,6),(3,4),(4,7),(6,7)],8)
[7,2,4,1,6,3,5,8]=>([(0,7),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6),(5,7),(6,7)],8)
[2,6,1,5,3,4,8,7]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[3,8,7,5,4,2,6,1]=>([(1,7),(2,3),(2,4),(2,5),(2,6),(5,7),(6,7)],8)
[5,7,8,2,3,6,4,1]=>([(1,6),(2,5),(2,7),(5,4),(6,3),(6,7)],8)
[2,8,7,3,1,4,5,6]=>([(0,7),(1,3),(1,4),(1,5),(5,7),(6,2),(7,6)],8)
[5,6,1,2,4,7,8,3]=>([(0,5),(1,6),(3,7),(5,7),(6,2),(6,3),(7,4)],8)
[3,8,6,7,5,4,2,1]=>([(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[7,8,5,1,4,6,2,3]=>([(0,7),(1,4),(2,5),(2,6),(5,7),(6,3)],8)
[8,2,7,5,4,6,1,3]=>([(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[8,4,7,6,3,1,2,5]=>([(1,7),(2,6),(3,4),(3,5),(3,7),(6,7)],8)
[4,6,7,1,3,2,8,5]=>([(0,5),(0,7),(1,3),(1,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[6,4,7,5,3,2,8,1]=>([(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,4,6,3,1,5,7,2]=>([(1,7),(2,4),(2,7),(3,5),(3,7),(5,6),(7,6)],8)
[7,3,1,4,5,6,8,2]=>([(0,7),(1,6),(2,3),(2,7),(4,5),(5,6),(7,4)],8)
[6,7,3,4,2,1,8,5]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(3,5),(4,7),(5,6),(5,7)],8)
[6,4,8,3,1,5,7,2]=>([(0,7),(1,5),(1,7),(2,5),(2,6),(3,4),(3,7),(7,6)],8)
[7,4,2,3,5,1,8,6]=>([(0,6),(1,7),(2,5),(2,7),(3,4),(4,6),(6,5),(6,7)],8)
[3,1,6,5,2,4,8,7]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,3,8,6,4,1,7]=>([(0,7),(1,3),(1,4),(2,7),(3,5),(3,6),(4,2),(4,5),(4,6),(6,7)],8)
[5,8,4,1,3,2,7,6]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,4,7,6,1,8,2]=>([(0,5),(0,6),(1,4),(2,3),(2,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,5,2,1,6,3,8,7]=>([(0,4),(0,7),(1,4),(1,7),(2,3),(3,7),(4,5),(4,6),(7,5),(7,6)],8)
[4,5,2,1,6,7,3,8]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(3,7),(4,6),(5,6),(7,4)],8)
[5,3,8,6,2,4,7,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[2,5,1,6,4,3,8,7]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,2,8,5,7,1,4]=>([(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,6)],8)
[4,6,8,1,5,7,2,3]=>([(0,5),(0,7),(1,4),(1,7),(4,3),(5,2),(5,6),(7,6)],8)
[4,1,2,5,7,6,3,8]=>([(0,6),(1,5),(2,7),(3,7),(4,7),(5,2),(5,6),(6,3),(6,4)],8)
[4,6,5,8,1,7,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,3,6,4,8,7,5]=>([(0,7),(1,7),(3,5),(3,6),(4,2),(4,5),(4,6),(7,3),(7,4)],8)
[4,8,1,2,7,5,6,3]=>([(0,5),(1,4),(1,6),(1,7),(5,3),(5,6),(5,7),(7,2)],8)
[1,6,4,3,8,7,5,2]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,5,1,6,8,7,2,3]=>([(0,5),(1,6),(1,7),(5,7),(6,2),(7,3),(7,4)],8)
[3,4,7,2,5,8,6,1]=>([(1,7),(2,4),(4,5),(4,7),(5,6),(7,3),(7,6)],8)
[2,5,1,8,6,4,7,3]=>([(0,2),(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,6),(6,3),(7,3)],8)
[2,5,8,7,3,1,4,6]=>([(0,7),(1,4),(1,5),(4,7),(5,2),(5,3),(5,6),(7,6)],8)
[3,8,7,2,6,1,4,5]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(7,5)],8)
[8,4,5,1,6,7,2,3]=>([(1,5),(2,6),(2,7),(5,7),(6,3),(7,4)],8)
[8,4,7,3,1,5,2,6]=>([(1,7),(2,4),(2,7),(3,5),(3,7),(5,6),(7,6)],8)
[2,5,1,8,3,6,4,7]=>([(0,3),(0,7),(1,4),(1,7),(2,5),(3,4),(3,6),(6,5),(7,2),(7,6)],8)
[5,8,4,7,3,2,1,6]=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,3,8,6,1,2,5,7]=>([(0,4),(0,5),(0,7),(1,4),(1,5),(1,7),(2,3),(3,7),(5,6),(7,6)],8)
[4,8,6,5,7,1,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,7),(4,7)],8)
[7,2,3,5,6,8,4,1]=>([(1,7),(2,6),(4,7),(5,4),(6,3),(6,5)],8)
[5,8,1,3,4,7,2,6]=>([(0,4),(0,6),(0,7),(1,2),(1,5),(2,7),(3,6),(3,7),(5,3)],8)
[8,3,4,2,7,6,1,5]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[8,7,5,6,4,1,3,2]=>([(3,7),(4,5),(4,6)],8)
[8,7,4,2,3,6,5,1]=>([(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[8,4,2,3,7,6,5,1]=>([(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[7,2,4,5,3,1,6,8]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,7),(5,7),(7,6)],8)
[7,6,3,1,4,5,8,2]=>([(0,7),(1,7),(2,6),(3,4),(3,6),(5,7),(6,5)],8)
[3,7,4,6,2,1,8,5]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,7),(4,5),(4,6),(5,7)],8)
[5,4,1,7,8,6,2,3]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(4,5),(7,3)],8)
[5,3,4,7,8,1,6,2]=>([(0,6),(0,7),(1,4),(2,3),(2,7),(4,6),(4,7),(6,5)],8)
[4,3,7,6,5,1,8,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,7),(4,7),(5,7),(6,7)],8)
[5,1,4,8,2,3,7,6]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,2)],8)
[3,2,8,5,4,1,6,7]=>([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,7),(6,7),(7,3)],8)
[1,2,8,3,4,6,5,7]=>([(0,6),(2,7),(3,7),(4,5),(5,2),(5,3),(6,1),(6,4)],8)
[8,1,2,7,3,5,4,6]=>([(1,6),(3,7),(4,7),(5,3),(5,4),(6,2),(6,5)],8)
[5,7,1,2,6,3,4,8]=>([(0,5),(1,3),(1,6),(2,7),(3,7),(4,2),(5,4),(5,6),(6,7)],8)
[1,2,7,5,6,3,4,8]=>([(0,6),(1,7),(2,7),(3,7),(4,3),(5,2),(6,1),(6,4),(6,5)],8)
[5,1,4,7,2,3,6,8]=>([(0,6),(0,7),(1,3),(1,4),(2,7),(3,6),(3,7),(4,2),(6,5),(7,5)],8)
[4,8,1,2,3,6,5,7]=>([(0,4),(1,3),(1,6),(1,7),(2,6),(2,7),(4,2),(6,5),(7,5)],8)
[6,2,3,8,7,1,4,5]=>([(0,7),(1,5),(1,6),(2,4),(4,5),(4,6),(4,7),(7,3)],8)
[8,2,3,6,4,7,5,1]=>([(2,6),(4,7),(5,3),(5,7),(6,4),(6,5)],8)
[7,2,3,6,4,8,1,5]=>([(0,3),(1,7),(2,6),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[4,5,1,3,2,6,8,7]=>([(0,6),(1,2),(1,3),(2,7),(3,7),(6,7),(7,4),(7,5)],8)
[6,4,7,5,1,3,2,8]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(5,7),(6,7)],8)
[5,3,1,6,2,7,8,4]=>([(0,7),(1,5),(1,7),(2,4),(2,7),(4,5),(4,6),(6,3),(7,6)],8)
[6,7,2,4,1,8,3,5]=>([(0,5),(0,7),(1,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6)],8)
[5,1,6,3,2,7,8,4]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(3,7),(4,5),(4,7),(6,7),(7,2)],8)
[5,2,1,6,4,7,3,8]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(4,3),(5,4),(6,3),(7,4)],8)
[5,4,1,6,2,7,8,3]=>([(0,7),(1,7),(2,3),(2,7),(3,5),(3,6),(6,4),(7,6)],8)
[6,7,2,5,4,1,3,8]=>([(0,6),(1,5),(2,3),(2,4),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[7,1,3,5,4,2,8,6]=>([(0,7),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3)],8)
[7,6,8,2,4,5,3,1]=>([(1,7),(2,7),(3,4),(3,5),(5,6)],8)
[4,2,8,6,5,1,3,7]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[3,8,5,4,7,1,2,6]=>([(0,5),(1,2),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[1,4,8,3,6,2,7,5]=>([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,1),(4,5),(4,7),(5,6)],8)
[6,3,2,4,8,7,1,5]=>([(0,4),(1,4),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7)],8)
[8,3,2,7,4,1,5,6]=>([(1,7),(2,5),(2,6),(3,5),(3,6),(6,7),(7,4)],8)
[7,3,2,6,5,8,1,4]=>([(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[3,6,2,5,7,4,8,1]=>([(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(5,4),(6,5),(7,4)],8)
[2,7,1,5,8,6,4,3]=>([(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(3,4),(7,2),(7,4)],8)
[7,2,4,1,6,8,5,3]=>([(0,5),(1,3),(1,6),(2,4),(2,6),(2,7),(3,4),(3,7),(7,5)],8)
[6,4,7,2,3,8,5,1]=>([(1,5),(2,5),(2,6),(3,4),(4,6),(4,7),(5,7)],8)
[6,1,8,5,7,4,2,3]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(4,6),(5,2)],8)
[7,1,4,3,6,5,8,2]=>([(0,7),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,1,5,6,3,4,8,2]=>([(0,7),(1,2),(1,5),(1,6),(3,7),(4,7),(5,4),(6,3)],8)
[6,1,8,5,4,7,3,2]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(4,7),(5,7)],8)
[7,6,1,5,4,2,8,3]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3),(6,7)],8)
[5,1,6,8,7,2,4,3]=>([(0,7),(1,6),(1,7),(6,2),(6,3),(7,4),(7,5)],8)
[4,6,7,5,3,1,8,2]=>([(0,7),(1,3),(1,7),(2,5),(2,6),(4,7),(5,7),(6,4)],8)
[5,3,2,6,8,7,4,1]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(7,4),(7,5)],8)
[5,4,6,2,8,7,3,1]=>([(1,5),(2,5),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
[4,5,8,6,7,2,3,1]=>([(1,5),(2,7),(6,4),(7,3),(7,6)],8)
[4,5,7,6,1,2,8,3]=>([(0,6),(1,5),(3,7),(4,7),(5,2),(5,7),(6,3),(6,4)],8)
[4,6,5,7,2,1,8,3]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(3,6),(4,6),(6,7)],8)
[7,4,8,6,3,5,1,2]=>([(0,7),(1,6),(2,5),(3,4),(3,6),(3,7)],8)
[7,2,4,3,6,1,8,5]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[2,3,4,7,8,6,1,5]=>([(0,7),(1,5),(4,3),(5,6),(6,2),(6,4),(6,7)],8)
[6,3,7,1,4,2,8,5]=>([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(3,7),(4,7),(5,6),(5,7)],8)
[4,6,3,5,1,8,2,7]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,7,6,2,3,4,1]=>([(2,6),(3,4),(3,5),(6,7)],8)
[3,4,6,7,8,2,5,1]=>([(1,7),(2,6),(4,5),(5,3),(6,4),(6,7)],8)
[2,5,6,7,3,8,1,4]=>([(0,7),(1,3),(1,5),(2,6),(3,6),(3,7),(4,2),(5,4)],8)
[5,8,4,6,2,1,7,3]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(6,7)],8)
[2,4,7,5,8,6,3,1]=>([(1,3),(1,6),(4,7),(5,2),(5,7),(6,4),(6,5)],8)
[1,6,8,3,4,2,7,5]=>([(0,3),(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,2),(5,1),(5,7)],8)
[4,1,7,6,2,8,3,5]=>([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,7),(3,4),(5,7),(6,7)],8)
[4,1,8,2,7,5,3,6]=>([(0,3),(0,6),(1,4),(1,6),(1,7),(2,5),(3,2),(3,4),(3,7),(7,5)],8)
[4,1,7,2,8,5,3,6]=>([(0,3),(0,7),(1,6),(1,7),(2,5),(3,2),(3,4),(3,6),(6,5),(7,4)],8)
[2,5,6,3,7,4,8,1]=>([(1,4),(1,5),(2,7),(3,6),(4,3),(5,2),(5,6),(6,7)],8)
[2,6,5,3,8,4,7,1]=>([(1,3),(1,4),(1,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,2),(5,7)],8)
[2,6,5,3,7,4,8,1]=>([(1,2),(1,3),(1,5),(2,7),(3,7),(4,6),(5,4),(5,7),(7,6)],8)
[7,1,6,3,5,4,8,2]=>([(0,7),(1,2),(1,5),(1,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[5,7,3,2,8,4,1,6]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)
[2,8,6,1,7,5,3,4]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(4,5),(7,2)],8)
[8,1,5,2,7,4,3,6]=>([(1,4),(1,5),(2,7),(3,7),(4,6),(4,7),(5,2),(5,3),(5,6)],8)
[7,1,4,2,8,5,3,6]=>([(0,7),(1,3),(1,4),(2,6),(3,5),(3,7),(4,2),(4,5),(4,7),(5,6)],8)
[2,6,8,1,7,5,3,4]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(4,3),(4,5),(7,2)],8)
[1,4,6,5,3,8,2,7]=>([(0,3),(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,7),(4,6),(4,7),(5,1),(5,2)],8)
[2,4,5,8,7,1,3,6]=>([(0,7),(1,4),(1,7),(4,5),(5,2),(5,3),(5,6),(7,6)],8)
[3,1,6,8,7,5,4,2]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(7,2),(7,3)],8)
[3,1,8,7,5,6,4,2]=>([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8)
[5,1,8,7,6,3,4,2]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(4,2)],8)
[8,2,7,5,3,6,4,1]=>([(2,4),(2,5),(2,6),(5,7),(6,3),(6,7)],8)
[8,7,2,3,1,5,6,4]=>([(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)
[2,8,5,7,6,1,3,4]=>([(0,7),(1,4),(1,6),(1,7),(6,2),(6,3),(7,5)],8)
[1,8,7,2,6,4,5,3]=>([(0,4),(0,5),(0,7),(6,3),(7,1),(7,2),(7,6)],8)
[8,7,2,1,6,4,5,3]=>([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[1,8,4,7,6,2,5,3]=>([(0,4),(0,5),(0,6),(5,3),(5,7),(6,1),(6,2),(6,7)],8)
[8,7,1,6,4,3,5,2]=>([(2,3),(2,4),(2,5),(2,6),(5,7),(6,7)],8)
[8,4,1,7,3,6,5,2]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(4,6),(4,7)],8)
[4,5,1,8,7,3,6,2]=>([(0,4),(1,2),(1,3),(1,6),(1,7),(3,5),(4,5),(4,6),(4,7)],8)
[3,8,5,2,6,7,4,1]=>([(1,6),(1,7),(2,3),(2,4),(2,6),(4,7),(7,5)],8)
[4,3,8,5,2,6,1,7]=>([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6),(6,7)],8)
[3,6,4,7,5,2,1,8]=>([(0,7),(1,7),(2,3),(2,4),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[5,7,4,1,2,6,8,3]=>([(0,7),(1,3),(2,4),(2,7),(3,5),(3,7),(4,6),(7,6)],8)
[2,8,6,7,5,3,1,4]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(5,7),(6,2)],8)
[7,4,5,2,6,3,1,8]=>([(0,7),(1,7),(2,5),(3,4),(3,6),(4,7),(5,6),(6,7)],8)
[8,6,3,4,5,1,7,2]=>([(1,7),(2,5),(3,4),(3,7),(5,6),(6,7)],8)
[8,6,3,5,4,1,7,2]=>([(1,7),(2,4),(2,7),(3,5),(3,6),(5,7),(6,7)],8)
[8,7,4,5,1,3,6,2]=>([(2,6),(3,4),(3,5),(5,7),(6,7)],8)
[8,6,2,5,3,1,4,7]=>([(1,7),(2,6),(3,4),(3,5),(4,7),(5,6),(6,7)],8)
[8,4,7,3,1,2,5,6]=>([(1,7),(2,5),(3,4),(3,7),(5,7),(7,6)],8)
[8,7,3,5,1,6,4,2]=>([(2,5),(2,6),(3,4),(3,6),(3,7),(5,7)],8)
[4,8,3,2,6,1,7,5]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(6,5)],8)
[4,3,7,6,1,5,2,8]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[7,5,4,3,6,1,8,2]=>([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(6,7)],8)
[4,6,8,5,3,1,2,7]=>([(0,7),(1,5),(2,4),(2,6),(4,7),(5,7),(6,3),(6,7)],8)
[5,6,8,4,3,7,2,1]=>([(2,7),(3,7),(4,5),(5,6),(5,7)],8)
[7,5,8,4,2,1,6,3]=>([(0,7),(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,8,7,6,2,5,3]=>([(0,5),(0,6),(5,4),(5,7),(6,1),(6,2),(6,3),(6,7)],8)
[7,2,4,1,5,3,8,6]=>([(0,7),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(4,7),(6,5),(6,7)],8)
[8,5,3,4,1,7,2,6]=>([(1,6),(1,7),(2,5),(3,4),(3,6),(4,7),(5,6),(5,7)],8)
[2,8,5,4,3,6,1,7]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(3,7),(4,7),(5,7),(7,6)],8)
[8,6,5,3,1,2,7,4]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[7,4,6,5,3,2,8,1]=>([(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,6,7,2,3,8,4,1]=>([(1,6),(2,5),(4,7),(5,4),(6,3),(6,7)],8)
[8,4,2,6,5,7,3,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[1,7,4,2,8,5,6,3]=>([(0,3),(0,4),(0,5),(3,7),(4,6),(4,7),(5,1),(5,6),(5,7),(6,2)],8)
[3,2,1,7,4,6,8,5]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(4,5),(6,5),(7,3),(7,4)],8)
[6,2,5,7,1,4,3,8]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,8,5,3,1,2,6,7]=>([(0,7),(1,5),(2,3),(2,4),(4,7),(5,7),(7,6)],8)
[8,5,2,4,6,1,3,7]=>([(1,7),(2,5),(3,4),(3,5),(4,7),(5,6),(7,6)],8)
[1,5,3,4,7,2,6,8]=>([(0,2),(0,3),(0,4),(1,5),(1,7),(2,7),(3,5),(3,7),(4,1),(5,6),(7,6)],8)
[8,4,6,1,5,7,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(5,7),(6,7)],8)
[6,4,7,2,1,3,8,5]=>([(0,4),(1,5),(2,5),(3,4),(3,6),(4,7),(5,6),(5,7)],8)
[6,7,3,1,2,4,8,5]=>([(0,7),(1,3),(2,5),(3,7),(5,6),(7,4),(7,6)],8)
[3,1,8,7,6,2,5,4]=>([(0,2),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4)],8)
[1,3,8,6,7,2,5,4]=>([(0,3),(0,5),(3,6),(3,7),(4,2),(5,1),(5,4),(5,6),(5,7)],8)
[5,2,3,6,1,8,4,7]=>([(0,3),(1,7),(2,5),(2,6),(3,6),(3,7),(6,4),(7,4),(7,5)],8)
[3,2,6,4,7,1,5,8]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(7,4),(7,5)],8)
[3,6,2,5,7,8,4,1]=>([(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(6,7),(7,4)],8)
[2,7,4,6,8,3,5,1]=>([(1,3),(1,4),(1,5),(2,6),(3,6),(4,7),(5,2),(5,7)],8)
[3,7,6,8,1,5,4,2]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(3,5)],8)
[1,5,7,6,8,4,2,3]=>([(0,4),(0,5),(0,6),(2,7),(3,7),(5,1),(6,2),(6,3)],8)
[2,7,4,6,8,5,3,1]=>([(1,3),(1,5),(1,6),(4,7),(5,7),(6,2),(6,4)],8)
[3,7,6,8,5,1,4,2]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(1,7),(3,6),(4,6)],8)
[7,1,3,8,6,2,4,5]=>([(0,6),(1,4),(1,5),(4,7),(5,3),(5,6),(5,7),(7,2)],8)
[2,7,1,8,6,5,3,4]=>([(0,3),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(3,4),(7,2)],8)
[8,1,5,2,6,4,7,3]=>([(1,4),(1,5),(3,7),(4,6),(5,2),(5,3),(5,6),(6,7)],8)
[5,3,4,7,6,2,1,8]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(4,5),(4,6),(5,7),(6,7)],8)
[4,1,8,5,7,2,6,3]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(4,3),(4,5),(7,2),(7,5)],8)
[4,1,8,2,7,5,6,3]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(4,3),(4,5),(4,7),(7,2)],8)
[7,6,8,2,4,3,5,1]=>([(1,6),(2,6),(3,4),(3,5),(4,7),(5,7)],8)
[7,4,5,3,8,1,6,2]=>([(0,6),(1,6),(1,7),(2,5),(3,4),(3,7),(5,6),(5,7)],8)
[7,3,6,1,4,2,8,5]=>([(0,7),(1,3),(1,5),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,2,6,4,5,1,3]=>([(2,7),(3,4),(3,5),(3,7),(5,6)],8)
[1,2,4,8,5,7,3,6]=>([(0,6),(3,7),(4,2),(4,7),(5,1),(5,4),(6,3),(6,5)],8)
[7,1,4,6,8,5,3,2]=>([(0,7),(1,3),(1,4),(1,6),(5,7),(6,2),(6,5)],8)
[7,2,5,1,6,4,8,3]=>([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(5,7),(6,7)],8)
[2,7,1,5,6,4,8,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(5,7),(6,2)],8)
[1,5,7,8,4,6,3,2]=>([(0,2),(0,3),(0,4),(0,6),(4,7),(5,1),(6,5),(6,7)],8)
[1,4,8,5,7,6,3,2]=>([(0,4),(0,5),(0,7),(6,2),(6,3),(7,1),(7,6)],8)
[2,8,1,5,6,4,7,3]=>([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(3,4),(6,3),(7,4)],8)
[3,7,2,8,1,5,6,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(4,5),(7,3)],8)
[7,3,2,5,1,6,8,4]=>([(0,4),(0,7),(1,4),(1,7),(2,5),(3,6),(3,7),(4,6),(6,5)],8)
[8,7,2,1,3,6,5,4]=>([(2,7),(3,7),(7,4),(7,5),(7,6)],8)
[7,3,2,8,1,4,6,5]=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(7,4),(7,5)],8)
[3,6,2,1,8,4,7,5]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,6),(4,5),(4,7),(6,3),(6,5)],8)
[3,5,1,7,6,4,8,2]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[8,7,4,2,1,6,5,3]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,4,7,6,2,1,8,3]=>([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7)],8)
[3,5,2,8,7,1,6,4]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(3,4),(3,5),(3,7)],8)
[3,7,6,5,4,1,8,2]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,7),(5,7)],8)
[4,6,5,3,1,8,7,2]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,2,6,7,3,8,1]=>([(1,4),(2,3),(2,6),(3,7),(4,6),(5,7),(6,5)],8)
[8,6,7,4,3,1,5,2]=>([(1,7),(2,7),(3,6),(4,5),(4,7)],8)
[4,7,1,8,5,3,2,6]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,7),(3,7),(4,5),(6,7)],8)
[8,6,7,1,4,3,5,2]=>([(1,4),(2,3),(2,5),(2,6),(5,7),(6,7)],8)
[8,6,7,2,1,3,5,4]=>([(1,7),(2,7),(3,4),(7,5),(7,6)],8)
[8,5,6,1,7,4,2,3]=>([(1,5),(2,4),(2,6),(2,7),(5,7),(6,3)],8)
[6,4,1,2,5,7,8,3]=>([(0,7),(1,6),(2,3),(3,5),(3,7),(6,4),(7,6)],8)
[6,1,5,4,2,7,3,8]=>([(0,7),(1,2),(1,3),(1,5),(2,7),(3,7),(4,6),(5,4),(5,7),(7,6)],8)
[6,4,2,3,1,7,5,8]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5),(7,5)],8)
[3,4,6,1,8,2,7,5]=>([(0,3),(0,7),(1,4),(2,5),(2,7),(3,5),(3,6),(4,2),(4,6)],8)
[5,3,1,4,7,6,2,8]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,4,5,2,7,1,3,8]=>([(0,7),(1,5),(2,5),(2,7),(3,4),(4,7),(5,6),(7,6)],8)
[7,4,3,5,1,6,2,8]=>([(0,7),(1,5),(2,5),(3,4),(3,6),(4,7),(5,6),(6,7)],8)
[7,5,3,6,2,1,4,8]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
[6,4,3,7,1,8,2,5]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,7),(6,5)],8)
[3,1,2,7,6,4,5,8]=>([(0,3),(1,4),(1,5),(1,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,2)],8)
[5,1,2,7,6,3,4,8]=>([(0,5),(0,6),(1,4),(2,7),(3,2),(4,3),(4,5),(4,6),(5,7),(6,7)],8)
[5,6,1,7,2,4,3,8]=>([(0,4),(1,5),(1,6),(2,7),(3,7),(4,6),(5,2),(5,3),(6,7)],8)
[3,5,6,8,1,2,7,4]=>([(0,5),(0,7),(1,3),(3,6),(3,7),(4,2),(4,6),(5,4)],8)
[2,6,5,7,1,3,4,8]=>([(0,7),(1,3),(1,4),(1,7),(2,6),(3,5),(4,5),(5,6),(7,2)],8)
[2,3,7,1,5,6,4,8]=>([(0,5),(0,6),(1,4),(2,7),(3,7),(4,3),(4,5),(4,6),(5,7),(6,2)],8)
[2,6,5,3,4,1,7,8]=>([(0,7),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(6,2),(7,5)],8)
[2,6,1,3,5,4,7,8]=>([(0,6),(1,2),(1,6),(2,7),(4,7),(5,7),(6,4),(6,5),(7,3)],8)
[4,6,1,5,2,8,7,3]=>([(0,3),(0,5),(1,4),(1,5),(3,6),(3,7),(4,2),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,5,4,2,7,8,3]=>([(0,7),(1,3),(1,4),(1,6),(3,7),(4,7),(6,2),(6,7),(7,5)],8)
[4,6,1,5,2,7,8,3]=>([(0,4),(0,6),(1,5),(1,6),(4,7),(5,2),(5,7),(6,7),(7,3)],8)
[2,8,6,5,1,3,7,4]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(3,7),(4,7),(6,5),(6,7)],8)
[5,1,8,6,2,7,4,3]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(4,2),(4,3),(4,5),(7,5)],8)
[3,6,8,2,7,5,1,4]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6)],8)
[5,6,4,1,7,2,8,3]=>([(0,7),(1,3),(2,4),(2,7),(3,7),(4,5),(4,6),(7,6)],8)
[3,8,6,1,5,7,4,2]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(3,5),(7,5)],8)
[8,1,6,3,4,2,5,7]=>([(1,2),(1,4),(1,5),(2,7),(3,6),(4,6),(5,3),(6,7)],8)
[7,4,2,3,1,6,8,5]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(7,5)],8)
[6,4,2,3,7,8,1,5]=>([(0,7),(1,6),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)
[4,3,6,2,5,8,1,7]=>([(0,7),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,7),(6,5),(6,7)],8)
[1,6,4,5,7,3,2,8]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,6),(5,1),(6,7)],8)
[1,6,4,5,7,2,8,3]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,2),(5,1),(5,7),(6,7)],8)
[1,7,5,6,4,8,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(4,7),(5,7),(6,1)],8)
[1,5,6,7,3,2,4,8]=>([(0,2),(0,3),(0,5),(1,7),(2,6),(3,6),(4,1),(5,4),(6,7)],8)
[8,2,4,3,1,7,5,6]=>([(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[8,2,1,4,3,7,5,6]=>([(1,6),(1,7),(2,6),(2,7),(5,3),(6,4),(6,5),(7,4),(7,5)],8)
[7,6,8,2,1,5,3,4]=>([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(7,4)],8)
[8,6,2,5,1,3,7,4]=>([(1,7),(2,6),(3,4),(3,6),(4,7),(6,5),(6,7)],8)
[7,1,6,8,3,2,4,5]=>([(0,6),(1,3),(1,4),(1,5),(3,7),(4,7),(5,6),(7,2)],8)
[5,7,2,6,4,1,8,3]=>([(0,5),(0,7),(1,3),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(6,7)],8)
[4,5,6,1,3,8,2,7]=>([(0,5),(1,2),(1,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,3)],8)
[6,3,5,7,4,2,8,1]=>([(1,7),(2,6),(3,4),(3,5),(4,7),(5,6),(6,7)],8)
[7,6,4,8,5,3,1,2]=>([(1,7),(2,7),(3,6),(4,5),(4,7)],8)
[8,2,1,6,4,7,3,5]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(5,4),(6,3),(7,3),(7,4)],8)
[1,3,8,6,5,2,7,4]=>([(0,4),(0,5),(2,7),(3,7),(4,6),(4,7),(5,1),(5,2),(5,3),(5,6)],8)
[2,7,3,8,5,6,4,1]=>([(1,4),(1,6),(4,7),(5,3),(6,2),(6,5),(6,7)],8)
[1,2,8,5,7,4,6,3]=>([(0,6),(4,7),(5,3),(5,7),(6,1),(6,2),(6,4),(6,5)],8)
[1,6,8,5,4,7,2,3]=>([(0,3),(0,4),(0,5),(0,6),(3,7),(4,7),(5,2),(6,1),(6,7)],8)
[5,7,1,8,3,2,6,4]=>([(0,4),(0,7),(1,2),(1,3),(1,6),(2,5),(2,7),(3,5),(3,7),(4,6)],8)
[8,2,5,4,3,7,1,6]=>([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,4,3,7,6,2,1]=>([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,1,5,3,4,7,2,6]=>([(1,2),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,3)],8)
[6,1,8,7,4,5,3,2]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(5,2)],8)
[1,5,8,6,4,3,7,2]=>([(0,3),(0,4),(0,5),(0,6),(2,7),(4,7),(5,7),(6,1),(6,2)],8)
[5,8,6,4,2,1,7,3]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(5,7)],8)
[2,6,1,8,4,7,5,3]=>([(0,3),(0,6),(0,7),(1,5),(1,6),(1,7),(3,4),(3,5),(7,2),(7,4)],8)
[5,3,8,6,1,2,7,4]=>([(0,3),(1,4),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(7,5)],8)
[5,8,1,4,6,2,7,3]=>([(0,4),(0,7),(1,3),(1,5),(3,7),(5,2),(5,6),(7,6)],8)
[3,7,6,2,1,4,8,5]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(6,5),(6,7)],8)
[4,6,2,3,7,1,8,5]=>([(0,5),(0,7),(1,4),(2,3),(2,7),(3,6),(4,6),(4,7),(6,5)],8)
[6,8,7,5,1,3,4,2]=>([(1,4),(1,5),(2,6),(2,7),(7,3)],8)
[6,4,3,2,7,8,5,1]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[2,7,6,1,5,3,8,4]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,2),(6,7)],8)
[7,8,6,4,2,5,3,1]=>([(2,7),(3,6),(4,5),(4,7)],8)
[6,4,5,8,7,1,3,2]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(5,6),(5,7)],8)
[6,4,1,7,8,3,2,5]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(2,6),(3,7),(4,7),(6,5)],8)
[6,4,3,8,7,2,5,1]=>([(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,4,7,2,1,3,8,6]=>([(0,5),(1,5),(2,4),(2,7),(3,4),(3,7),(4,6),(5,6),(5,7)],8)
[2,6,4,5,7,1,8,3]=>([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(3,5),(4,2),(5,6)],8)
[3,7,4,6,1,5,8,2]=>([(0,4),(0,6),(1,3),(1,5),(2,7),(3,7),(5,2),(5,6),(6,7)],8)
[3,4,6,5,2,8,1,7]=>([(0,3),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,7,5,8,2,1,3]=>([(0,6),(1,6),(2,3),(2,4),(3,7),(4,5),(5,7)],8)
[2,5,7,6,4,1,8,3]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,2),(5,3)],8)
[5,1,4,6,2,7,8,3]=>([(0,6),(1,4),(1,5),(4,6),(5,3),(5,7),(6,7),(7,2)],8)
[1,2,5,3,7,8,6,4]=>([(0,5),(3,6),(3,7),(4,2),(4,6),(4,7),(5,3),(5,4),(7,1)],8)
[4,8,3,5,1,2,7,6]=>([(0,5),(1,4),(2,3),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,3,7,2,8,4,5]=>([(0,6),(1,3),(1,4),(3,6),(3,7),(4,5),(4,7),(6,5),(7,2)],8)
[3,8,5,4,1,7,2,6]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(5,6)],8)
[3,1,5,8,2,6,7,4]=>([(0,5),(0,7),(1,3),(1,7),(3,5),(3,6),(6,4),(7,2),(7,6)],8)
[2,8,5,3,1,7,4,6]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(3,6),(3,7),(4,5),(4,7),(6,5)],8)
[6,5,2,3,7,1,8,4]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(4,6),(4,7),(7,5)],8)
[7,2,1,6,4,8,3,5]=>([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,3),(6,3),(6,7)],8)
[2,1,3,7,5,8,4,6]=>([(0,7),(1,7),(2,6),(3,5),(4,5),(4,6),(7,2),(7,3),(7,4)],8)
[6,2,4,5,7,1,8,3]=>([(0,6),(1,5),(1,7),(2,3),(2,5),(3,4),(4,6),(6,7)],8)
[2,3,8,7,1,4,6,5]=>([(0,7),(1,6),(6,2),(6,3),(6,7),(7,4),(7,5)],8)
[4,2,7,5,6,8,1,3]=>([(0,6),(1,4),(1,7),(2,4),(2,6),(2,7),(3,5),(4,3),(7,5)],8)
[6,8,2,5,4,7,3,1]=>([(1,4),(1,7),(2,3),(2,5),(2,6),(5,7),(6,7)],8)
[5,3,2,7,6,1,8,4]=>([(0,4),(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[5,6,4,2,8,7,1,3]=>([(0,6),(0,7),(1,5),(2,5),(2,6),(2,7),(3,4),(4,6),(4,7)],8)
[5,7,4,2,6,1,8,3]=>([(0,6),(1,5),(1,7),(2,5),(2,6),(3,4),(3,6),(4,7),(6,7)],8)
[5,4,7,1,6,2,8,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,7),(5,7),(6,7)],8)
[4,5,8,7,6,2,1,3]=>([(0,7),(1,7),(2,6),(6,3),(6,4),(6,5)],8)
[6,4,7,1,2,3,8,5]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6),(4,7),(5,7)],8)
[6,1,7,3,8,4,5,2]=>([(0,7),(1,3),(1,5),(1,7),(4,2),(5,4),(5,6),(7,6)],8)
[8,2,3,1,6,4,7,5]=>([(1,6),(1,7),(2,4),(4,6),(4,7),(6,5),(7,3),(7,5)],8)
[1,8,7,2,3,4,6,5]=>([(0,3),(0,4),(0,6),(5,7),(6,5),(7,1),(7,2)],8)
[1,8,3,7,6,2,5,4]=>([(0,3),(0,4),(0,5),(4,6),(4,7),(5,1),(5,2),(5,6),(5,7)],8)
[1,3,8,2,5,6,4,7]=>([(0,3),(0,4),(1,6),(3,5),(3,7),(4,2),(4,5),(4,7),(5,6),(7,1)],8)
[1,3,2,7,4,6,8,5]=>([(0,3),(0,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(7,1),(7,2)],8)
[1,3,8,4,6,2,7,5]=>([(0,3),(0,5),(2,6),(3,6),(3,7),(4,2),(4,7),(5,1),(5,4)],8)
[8,2,3,6,7,4,5,1]=>([(2,7),(5,4),(6,3),(7,5),(7,6)],8)
[5,6,4,2,1,7,3,8]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(4,7),(5,6),(7,6)],8)
[2,5,7,6,3,8,4,1]=>([(1,5),(1,6),(3,7),(4,7),(5,2),(5,7),(6,3),(6,4)],8)
[6,4,7,1,2,5,3,8]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[1,2,7,5,8,6,3,4]=>([(0,6),(3,7),(4,2),(5,1),(5,7),(6,3),(6,4),(6,5)],8)
[7,4,5,1,6,8,2,3]=>([(0,6),(1,3),(2,4),(2,7),(3,7),(4,5),(7,6)],8)
[1,7,8,4,2,6,3,5]=>([(0,3),(0,4),(0,5),(2,7),(3,6),(3,7),(4,1),(5,2),(5,6)],8)
[6,3,2,5,7,4,1,8]=>([(0,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,2,1,5,3,7,8,4]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(5,7),(6,3),(6,7),(7,4)],8)
[6,2,5,1,3,8,7,4]=>([(0,6),(0,7),(1,5),(2,3),(2,5),(3,6),(3,7),(5,4),(5,6),(5,7)],8)
[6,2,8,5,1,3,7,4]=>([(0,6),(1,5),(1,7),(2,4),(2,5),(2,6),(4,7),(6,3),(6,7)],8)
[4,1,7,8,3,6,5,2]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(4,5),(4,6),(7,2)],8)
[6,4,2,1,7,3,5,8]=>([(0,7),(1,4),(1,7),(2,4),(2,7),(3,6),(3,7),(4,6),(6,5),(7,5)],8)
[5,8,4,2,1,3,6,7]=>([(0,7),(1,6),(2,6),(3,4),(3,7),(6,7),(7,5)],8)
[1,7,5,8,4,3,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,6),(5,7)],8)
[5,8,1,6,4,7,2,3]=>([(0,4),(0,7),(1,3),(1,5),(1,7),(3,6),(5,2),(7,6)],8)
[2,4,7,5,1,8,6,3]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(2,7),(3,5),(3,7),(4,2),(4,3)],8)
[2,3,7,1,8,5,6,4]=>([(0,5),(0,6),(0,7),(1,4),(3,5),(4,3),(4,6),(4,7),(7,2)],8)
[6,5,1,2,7,4,8,3]=>([(0,3),(1,7),(2,7),(3,4),(3,5),(3,7),(5,6),(7,6)],8)
[3,6,5,7,8,2,4,1]=>([(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(7,5)],8)
[3,6,5,1,8,7,4,2]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7)],8)
[7,8,1,2,5,4,3,6]=>([(0,5),(1,6),(2,7),(3,7),(4,7),(6,2),(6,3),(6,4)],8)
[2,8,4,3,5,1,7,6]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(3,5),(4,5),(5,6),(5,7)],8)
[5,2,4,7,6,8,1,3]=>([(0,5),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(6,4),(7,4)],8)
[3,1,5,7,4,8,6,2]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(3,5),(6,3),(6,4),(7,4),(7,5)],8)
[4,1,7,6,8,2,5,3]=>([(0,3),(0,6),(0,7),(1,5),(1,6),(1,7),(3,2),(3,5),(6,4),(7,4)],8)
[7,2,6,4,1,5,3,8]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,2,6,5,8,3,7,4]=>([(0,5),(2,6),(2,7),(3,6),(3,7),(4,1),(4,7),(5,2),(5,3),(5,4)],8)
[7,3,5,6,1,4,2,8]=>([(0,7),(1,3),(1,6),(2,4),(2,6),(3,5),(4,7),(5,7),(6,7)],8)
[5,8,3,1,6,7,4,2]=>([(0,6),(0,7),(1,3),(1,7),(2,4),(2,6),(2,7),(7,5)],8)
[4,5,8,1,7,3,6,2]=>([(0,5),(1,3),(1,4),(1,7),(4,6),(5,2),(5,6),(5,7)],8)
[4,7,1,6,8,5,2,3]=>([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(3,5),(4,2),(7,5)],8)
[5,8,7,1,6,4,2,3]=>([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(6,2)],8)
[1,7,3,8,2,5,4,6]=>([(0,1),(0,2),(0,3),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[8,4,1,3,6,7,5,2]=>([(1,6),(1,7),(2,4),(2,5),(5,6),(5,7),(7,3)],8)
[5,3,1,8,6,7,4,2]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[6,2,7,1,4,3,5,8]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(4,3),(5,4),(6,4),(7,3)],8)
[8,3,2,6,5,1,7,4]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[2,6,8,4,7,1,3,5]=>([(0,7),(1,3),(1,4),(1,7),(3,5),(3,6),(4,2),(4,6),(7,5)],8)
[7,8,6,3,2,5,4,1]=>([(2,6),(2,7),(3,6),(3,7),(4,5)],8)
[1,6,4,8,2,3,5,7]=>([(0,2),(0,3),(0,4),(1,6),(2,5),(2,7),(3,5),(3,6),(4,1),(6,7)],8)
[2,8,5,6,4,1,7,3]=>([(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(3,7),(4,7),(5,3)],8)
[1,4,7,3,5,8,6,2]=>([(0,3),(0,4),(0,5),(2,6),(4,7),(5,2),(5,7),(7,1),(7,6)],8)
[3,7,8,2,5,1,6,4]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,5),(2,7),(3,4),(5,6)],8)
[8,6,1,4,3,2,7,5]=>([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,8,2,4,1,5,6]=>([(0,7),(1,5),(2,6),(3,5),(3,6),(6,7),(7,4)],8)
[6,3,7,8,1,2,5,4]=>([(0,5),(1,5),(1,6),(1,7),(2,4),(4,6),(4,7),(5,3)],8)
[7,6,1,5,2,3,8,4]=>([(0,7),(1,7),(2,4),(2,5),(4,7),(5,6),(6,3),(6,7)],8)
[5,1,8,6,7,2,3,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(5,4),(7,2)],8)
[5,7,1,6,8,2,3,4]=>([(0,5),(0,7),(1,3),(1,7),(3,6),(4,2),(5,4),(7,6)],8)
[6,8,4,2,1,7,3,5]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,7),(5,6)],8)
[6,3,2,8,1,7,4,5]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4)],8)
[6,4,1,3,7,8,5,2]=>([(0,7),(1,6),(1,7),(2,3),(2,5),(5,6),(5,7),(7,4)],8)
[6,8,5,4,3,7,1,2]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,7)],8)
[5,7,4,8,3,1,2,6]=>([(0,7),(1,6),(1,7),(2,4),(3,5),(3,7),(4,7),(5,6)],8)
[6,1,2,4,8,3,7,5]=>([(0,6),(0,7),(1,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,2),(4,3)],8)
[2,5,6,8,1,4,7,3]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(3,2),(3,5),(4,3),(7,5)],8)
[7,4,1,6,5,2,3,8]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,7),(5,7),(6,7)],8)
[4,1,6,5,2,3,8,7]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,1,7,8,6,2,3]=>([(0,4),(1,5),(1,6),(1,7),(4,6),(4,7),(5,3),(7,2)],8)
[8,5,7,3,4,6,2,1]=>([(3,6),(4,5),(4,7),(6,7)],8)
[6,8,7,4,3,5,2,1]=>([(2,7),(3,7),(4,5),(4,6)],8)
[6,8,7,5,3,4,2,1]=>([(3,7),(4,5),(4,6)],8)
[5,8,6,2,4,7,3,1]=>([(1,4),(1,6),(2,3),(2,5),(5,7),(6,7)],8)
[4,8,6,2,5,7,3,1]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(5,7),(6,7)],8)
[1,6,4,7,5,3,2,8]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,6),(6,7)],8)
[1,6,5,3,2,7,4,8]=>([(0,1),(0,2),(0,3),(0,4),(1,7),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[1,6,8,7,4,5,3,2]=>([(0,4),(0,5),(0,6),(0,7),(6,3),(7,1),(7,2)],8)
[1,4,7,5,3,2,6,8]=>([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,7),(5,1),(5,2),(7,6)],8)
[1,7,5,4,3,2,8,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,7,5,3,2,8,6]=>([(0,3),(0,4),(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2)],8)
[1,7,4,6,8,5,3,2]=>([(0,3),(0,4),(0,5),(0,6),(2,7),(5,7),(6,1),(6,2)],8)
[6,8,7,2,3,5,4,1]=>([(1,7),(2,5),(2,6),(7,3),(7,4)],8)
[5,7,6,1,8,2,4,3]=>([(0,6),(0,7),(1,4),(1,5),(4,7),(5,7),(6,2),(6,3)],8)
[4,8,6,5,7,2,3,1]=>([(1,4),(2,3),(2,5),(2,6),(5,7),(6,7)],8)
[2,7,8,5,1,4,3,6]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,2),(5,7),(6,7)],8)
[8,5,6,2,4,7,3,1]=>([(2,6),(3,4),(3,5),(5,7),(6,7)],8)
[8,1,3,6,4,5,2,7]=>([(1,4),(1,6),(2,7),(3,7),(4,7),(5,3),(6,2),(6,5)],8)
[4,3,1,6,2,5,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[7,5,2,1,8,4,3,6]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
[5,3,1,4,7,8,2,6]=>([(0,6),(0,7),(1,5),(2,4),(2,5),(4,7),(5,6),(5,7),(6,3)],8)
[7,1,2,4,8,3,5,6]=>([(0,6),(1,5),(3,7),(4,6),(4,7),(5,3),(5,4),(7,2)],8)
[8,6,1,3,5,7,4,2]=>([(1,7),(2,4),(2,6),(5,7),(6,3),(6,5)],8)
[7,1,5,8,2,3,4,6]=>([(0,7),(1,3),(1,5),(2,6),(3,6),(3,7),(4,2),(5,4)],8)
[3,6,8,5,1,4,2,7]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(3,7),(4,7),(5,2),(5,7),(6,7)],8)
[5,2,4,1,6,8,3,7]=>([(0,7),(1,5),(1,7),(2,3),(2,5),(3,7),(5,6),(7,4),(7,6)],8)
[2,5,3,4,6,8,1,7]=>([(0,6),(1,4),(1,5),(3,7),(4,7),(5,3),(7,2),(7,6)],8)
[4,7,1,2,5,6,3,8]=>([(0,5),(1,4),(1,6),(2,7),(3,7),(4,7),(5,2),(5,6),(6,3)],8)
[6,7,3,1,8,2,4,5]=>([(0,6),(0,7),(1,3),(2,4),(2,7),(3,7),(4,6),(6,5)],8)
[7,3,1,4,6,2,8,5]=>([(0,7),(1,5),(2,3),(2,5),(3,6),(3,7),(4,7),(5,4),(5,6)],8)
[7,4,1,2,5,6,3,8]=>([(0,7),(1,6),(2,3),(3,5),(3,6),(4,7),(5,7),(6,4)],8)
[5,4,1,3,6,8,7,2]=>([(0,7),(1,7),(2,3),(2,4),(4,7),(7,5),(7,6)],8)
[5,7,4,8,1,6,3,2]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(5,6)],8)
[4,3,1,2,5,7,6,8]=>([(0,7),(1,7),(2,3),(3,7),(4,6),(5,6),(7,4),(7,5)],8)
[1,2,4,7,8,5,6,3]=>([(0,7),(4,3),(5,2),(6,4),(6,5),(7,1),(7,6)],8)
[8,3,6,5,7,4,2,1]=>([(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[8,2,6,5,7,4,3,1]=>([(2,3),(2,4),(2,5),(2,6),(5,7),(6,7)],8)
[8,4,7,1,5,2,6,3]=>([(1,3),(1,6),(2,4),(2,6),(4,5),(4,7),(6,7)],8)
[8,2,6,3,7,5,4,1]=>([(2,5),(2,6),(5,7),(6,3),(6,4),(6,7)],8)
[8,2,5,3,7,6,4,1]=>([(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,5,7,1,4,3,6,2]=>([(1,4),(1,7),(2,3),(2,5),(2,6),(5,7),(6,7)],8)
[5,3,1,8,4,2,6,7]=>([(0,6),(0,7),(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(5,7),(7,4)],8)
[2,1,6,5,8,7,3,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(5,2),(6,3),(6,4),(7,3),(7,4)],8)
[6,1,5,4,7,3,8,2]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,1,8,4,2,7,6,5]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(7,3),(7,4),(7,5)],8)
[2,8,7,4,1,3,6,5]=>([(0,7),(1,2),(1,3),(1,4),(1,7),(4,5),(4,6),(7,5),(7,6)],8)
[8,2,3,1,7,6,4,5]=>([(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)
[8,7,2,3,1,6,4,5]=>([(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)
[7,2,5,8,3,1,4,6]=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,7),(6,7)],8)
[6,8,2,3,1,7,4,5]=>([(0,6),(0,7),(1,4),(2,3),(2,7),(4,6),(4,7),(6,5)],8)
[8,2,5,7,3,1,4,6]=>([(1,6),(2,3),(2,4),(3,5),(3,7),(4,6),(6,7)],8)
[8,2,7,3,1,4,5,6]=>([(1,7),(2,4),(2,5),(5,7),(6,3),(7,6)],8)
[5,3,2,8,7,1,6,4]=>([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[8,6,7,4,1,3,5,2]=>([(1,7),(2,5),(3,4),(3,6),(6,7)],8)
[4,1,3,6,5,2,8,7]=>([(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,3,2,5,1,8,7]=>([(0,5),(1,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,3,2,6,5,7,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(6,5),(7,5)],8)
[4,8,3,6,5,2,7,1]=>([(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[8,1,6,2,5,4,7,3]=>([(1,5),(1,6),(3,7),(4,7),(5,7),(6,2),(6,3),(6,4)],8)
[2,4,3,8,6,1,7,5]=>([(0,2),(0,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4)],8)
[2,6,3,8,5,4,7,1]=>([(1,4),(1,5),(2,7),(3,7),(4,6),(4,7),(5,2),(5,3),(5,6)],8)
[6,1,3,2,5,8,7,4]=>([(0,2),(0,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(7,4),(7,5)],8)
[6,8,4,2,5,3,7,1]=>([(1,6),(2,4),(2,7),(3,5),(3,6),(5,7),(6,7)],8)
[6,8,4,3,5,2,7,1]=>([(1,7),(2,6),(3,6),(4,5),(4,7),(6,7)],8)
[8,1,4,6,5,3,7,2]=>([(1,2),(1,5),(1,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[3,5,4,6,1,2,8,7]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,5,6,1,8,2,4]=>([(0,7),(1,4),(1,7),(2,3),(2,6),(3,5),(4,6),(5,7)],8)
[5,7,6,3,4,2,8,1]=>([(1,7),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[4,6,7,2,3,5,8,1]=>([(1,3),(2,4),(2,7),(3,7),(4,5),(5,6),(7,6)],8)
[6,5,4,8,7,2,3,1]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5)],8)
[5,7,4,3,6,2,1,8]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,8,5,6,2,3,7,4]=>([(0,3),(0,5),(0,6),(2,7),(4,1),(4,7),(5,2),(6,4)],8)
[8,5,6,1,3,2,7,4]=>([(1,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,7,8,2,6,1,4]=>([(0,6),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(5,4)],8)
[4,5,8,3,6,1,7,2]=>([(0,7),(1,4),(2,3),(2,6),(4,5),(4,7),(7,6)],8)
[4,5,8,7,2,3,1,6]=>([(0,7),(1,5),(2,6),(5,7),(6,3),(6,4),(6,7)],8)
[8,2,6,4,3,7,5,1]=>([(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,1,8,7,4,5,2]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(5,4)],8)
[8,6,3,2,7,4,5,1]=>([(2,7),(3,6),(3,7),(4,6),(4,7),(6,5)],8)
[1,3,6,8,7,4,5,2]=>([(0,4),(0,7),(5,3),(6,1),(6,2),(7,5),(7,6)],8)
[5,7,1,3,6,2,4,8]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,7,5,2,3,6,8,1]=>([(1,4),(2,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,6,4,1,2,5,7,8]=>([(0,5),(1,3),(1,4),(3,7),(4,6),(5,6),(6,7),(7,2)],8)
[4,7,1,3,2,5,8,6]=>([(0,5),(0,7),(1,2),(1,3),(2,7),(3,7),(5,6),(7,4),(7,6)],8)
[4,7,1,3,2,6,8,5]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,5),(7,5)],8)
[5,7,1,3,6,2,8,4]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,7),(4,7),(6,7)],8)
[6,8,2,5,7,3,1,4]=>([(0,6),(1,3),(1,7),(2,4),(2,5),(4,6),(5,7)],8)
[4,8,5,2,3,6,1,7]=>([(0,6),(1,5),(2,3),(2,4),(4,7),(5,7),(7,6)],8)
[5,8,6,3,4,7,2,1]=>([(2,6),(3,4),(3,5),(5,7),(6,7)],8)
[3,7,5,4,2,8,1,6]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,5,1,7,8,2,3]=>([(0,6),(0,7),(1,3),(1,4),(3,7),(4,7),(6,2),(7,5)],8)
[4,7,1,3,2,8,5,6]=>([(0,5),(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(5,6),(7,2)],8)
[3,6,5,1,8,2,4,7]=>([(0,4),(0,7),(1,2),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6)],8)
[5,8,7,3,4,2,6,1]=>([(1,7),(2,6),(3,4),(3,5),(3,7),(6,7)],8)
[8,5,2,3,7,4,6,1]=>([(2,6),(2,7),(3,4),(4,5),(4,7),(5,6)],8)
[6,3,1,5,4,8,2,7]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,6,3,5,2,8,1]=>([(1,7),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,7,5,3,4,8,6,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(3,7),(4,6),(4,7),(5,1)],8)
[5,8,2,3,4,7,6,1]=>([(1,4),(2,3),(2,6),(2,7),(4,5),(5,6),(5,7)],8)
[8,7,3,2,6,4,5,1]=>([(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[8,3,1,4,7,5,2,6]=>([(1,6),(2,3),(2,6),(3,7),(5,7),(6,4),(6,5)],8)
[5,3,1,6,4,8,7,2]=>([(0,7),(1,4),(1,7),(2,3),(2,4),(2,7),(4,5),(4,6),(7,5),(7,6)],8)
[3,4,8,5,7,2,6,1]=>([(1,7),(2,6),(5,4),(5,7),(6,3),(6,5)],8)
[8,5,1,2,7,6,4,3]=>([(1,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[3,7,8,5,6,2,4,1]=>([(1,7),(2,5),(2,6),(2,7),(5,4),(6,3)],8)
[7,4,3,6,2,5,8,1]=>([(1,7),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,3,8,7,1,6,2,5]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(3,7)],8)
[1,5,3,8,4,7,2,6]=>([(0,2),(0,3),(0,4),(1,5),(1,7),(2,7),(3,5),(3,6),(3,7),(4,1),(4,6)],8)
[8,2,3,1,6,5,7,4]=>([(1,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[8,4,2,7,1,3,6,5]=>([(1,5),(2,4),(2,6),(2,7),(3,4),(3,5),(5,6),(5,7)],8)
[8,4,2,3,1,6,7,5]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)
[4,7,2,3,6,5,8,1]=>([(1,4),(2,3),(2,5),(2,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,8,2,6,4,7,1,5]=>([(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(6,4),(7,4),(7,5)],8)
[1,7,5,8,6,2,4,3]=>([(0,4),(0,5),(0,6),(4,7),(5,3),(5,7),(6,1),(6,2)],8)
[6,5,1,7,4,8,3,2]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(2,7),(5,6),(7,6)],8)
[7,6,3,5,1,4,8,2]=>([(0,7),(1,7),(2,4),(2,6),(3,5),(3,6),(5,7),(6,7)],8)
[6,5,4,1,7,2,3,8]=>([(0,7),(1,7),(2,7),(3,4),(3,7),(4,5),(5,6),(7,6)],8)
[8,3,6,1,7,4,5,2]=>([(1,4),(1,6),(2,3),(2,6),(2,7),(4,7),(6,5)],8)
[7,1,2,6,4,8,3,5]=>([(0,7),(1,5),(2,7),(3,6),(4,6),(4,7),(5,2),(5,3),(5,4)],8)
[3,5,1,8,6,2,4,7]=>([(0,3),(0,7),(1,2),(1,5),(1,6),(2,7),(3,5),(3,6),(6,4),(7,4)],8)
[1,8,7,5,4,6,2,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,1)],8)
[8,1,6,7,4,5,3,2]=>([(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8)
[8,1,6,4,7,5,3,2]=>([(1,3),(1,4),(1,5),(1,6),(5,7),(6,2),(6,7)],8)
[6,4,8,1,5,3,7,2]=>([(0,5),(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(4,7),(6,7)],8)
[1,6,4,3,5,8,2,7]=>([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8)
[5,1,4,3,7,8,6,2]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(4,6),(4,7),(5,6),(5,7),(7,2)],8)
[5,7,1,8,6,3,2,4]=>([(0,4),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(3,5),(4,6)],8)
[5,7,6,3,4,2,1,8]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[4,1,3,7,6,5,2,8]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,3,6,1,2,7,8,5]=>([(0,5),(0,7),(1,5),(1,7),(2,4),(4,6),(4,7),(5,6),(6,3)],8)
[5,8,3,6,7,2,4,1]=>([(1,6),(2,6),(2,7),(3,5),(3,7),(7,4)],8)
[8,1,6,2,5,7,4,3]=>([(1,5),(1,6),(4,7),(5,7),(6,2),(6,3),(6,4)],8)
[2,7,1,5,3,6,8,4]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(3,4),(5,4),(6,5),(7,2),(7,5)],8)
[6,8,7,3,4,2,5,1]=>([(1,7),(2,6),(3,4),(3,5),(6,7)],8)
[1,8,6,2,4,7,5,3]=>([(0,3),(0,4),(0,6),(4,7),(5,2),(5,7),(6,1),(6,5)],8)
[5,7,3,6,4,2,1,8]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[5,7,3,6,4,1,8,2]=>([(0,3),(0,7),(1,5),(1,6),(2,4),(2,6),(4,7),(5,7),(6,7)],8)
[3,7,5,6,4,1,8,2]=>([(0,5),(0,7),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(6,2)],8)
[2,8,5,7,3,4,6,1]=>([(1,3),(1,5),(1,6),(4,7),(5,4),(6,2),(6,7)],8)
[2,1,3,8,5,4,6,7]=>([(0,7),(1,7),(3,6),(4,6),(6,5),(7,2),(7,3),(7,4)],8)
[5,3,6,8,2,4,1,7]=>([(0,6),(1,7),(2,5),(3,5),(3,6),(5,7),(6,4),(6,7)],8)
[1,7,8,6,3,2,4,5]=>([(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,1),(7,2)],8)
[7,1,2,5,3,8,4,6]=>([(0,7),(1,5),(2,6),(3,6),(3,7),(4,2),(4,7),(5,3),(5,4)],8)
[3,7,4,2,5,1,8,6]=>([(0,6),(1,5),(1,7),(2,3),(2,4),(3,6),(4,7),(6,5),(6,7)],8)
[1,8,3,4,5,7,2,6]=>([(0,2),(0,3),(0,6),(3,7),(4,5),(5,1),(5,7),(6,4)],8)
[4,5,7,6,2,1,3,8]=>([(0,3),(1,6),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[7,8,2,6,5,4,3,1]=>([(1,7),(2,3),(2,4),(2,5),(2,6)],8)
[5,3,7,8,4,2,1,6]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,6),(4,7),(6,5)],8)
[7,3,6,8,1,5,4,2]=>([(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7)],8)
[7,5,8,2,4,3,6,1]=>([(1,6),(2,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)
[6,5,8,2,3,4,1,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,7)],8)
[8,1,5,3,4,6,2,7]=>([(1,2),(1,4),(1,5),(2,7),(3,6),(4,6),(5,3),(6,7)],8)
[5,8,7,2,4,3,6,1]=>([(1,5),(1,6),(2,3),(2,4),(2,7),(5,7),(6,7)],8)
[1,7,2,4,8,5,6,3]=>([(0,3),(0,6),(3,7),(4,2),(5,4),(5,7),(6,1),(6,5)],8)
[5,8,2,3,7,4,6,1]=>([(1,4),(2,3),(2,6),(2,7),(4,5),(4,7),(5,6)],8)
[7,8,2,3,5,4,6,1]=>([(1,5),(2,6),(3,7),(4,7),(6,3),(6,4)],8)
[8,4,1,3,2,6,5,7]=>([(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[8,7,2,3,5,4,6,1]=>([(3,4),(4,5),(4,6),(5,7),(6,7)],8)
[1,7,6,8,4,5,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,1)],8)
[2,7,3,1,8,5,6,4]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(3,7),(4,5),(4,6),(4,7),(6,2)],8)
[3,8,5,2,1,6,7,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(4,7),(7,5)],8)
[4,8,7,1,2,5,3,6]=>([(0,5),(1,3),(1,4),(1,6),(2,7),(5,2),(5,6),(6,7)],8)
[8,7,2,6,1,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[6,1,7,3,8,2,4,5]=>([(0,6),(1,3),(1,4),(1,6),(3,7),(4,5),(4,7),(6,5),(7,2)],8)
[7,1,8,6,4,2,3,5]=>([(0,7),(1,2),(1,4),(1,5),(1,7),(3,6),(4,6),(5,3)],8)
[4,1,3,5,8,2,6,7]=>([(0,7),(1,3),(1,4),(3,7),(4,6),(6,5),(7,2),(7,6)],8)
[1,8,5,7,4,6,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,7)],8)
[1,4,7,6,8,3,5,2]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(4,7),(5,1),(5,2),(5,7)],8)
[1,7,2,8,6,5,3,4]=>([(0,4),(0,6),(4,7),(5,3),(6,1),(6,2),(6,5),(6,7)],8)
[5,7,1,6,4,2,3,8]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,7),(3,7),(4,7),(5,2),(6,7)],8)
[4,8,2,7,5,1,6,3]=>([(0,4),(0,5),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(7,4)],8)
[2,8,4,6,7,1,5,3]=>([(0,6),(0,7),(1,3),(1,5),(1,7),(4,2),(5,4),(5,6)],8)
[3,8,5,1,4,2,6,7]=>([(0,5),(0,6),(1,2),(1,3),(1,6),(3,7),(5,7),(6,7),(7,4)],8)
[1,7,6,2,5,3,8,4]=>([(0,3),(0,4),(0,6),(2,7),(3,7),(4,7),(5,1),(5,7),(6,2),(6,5)],8)
[1,7,5,2,4,3,8,6]=>([(0,3),(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,7),(4,6),(4,7),(5,1),(5,2)],8)
[2,8,5,1,4,3,6,7]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(3,7),(5,7),(6,7),(7,4)],8)
[3,1,2,5,7,6,8,4]=>([(0,6),(0,7),(1,2),(2,6),(2,7),(3,5),(4,5),(7,3),(7,4)],8)
[5,1,7,3,2,6,8,4]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(2,5),(2,7),(3,5),(3,7),(6,4),(7,4)],8)
[4,7,2,3,5,1,6,8]=>([(0,5),(1,3),(2,4),(2,6),(3,6),(4,7),(5,7),(6,5)],8)
[4,8,2,3,7,5,1,6]=>([(0,5),(1,4),(2,3),(2,6),(2,7),(4,6),(4,7),(7,5)],8)
[8,7,2,4,3,5,6,1]=>([(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[8,6,2,4,3,5,1,7]=>([(1,7),(2,7),(3,4),(3,5),(4,6),(5,6),(6,7)],8)
[8,1,2,4,7,3,5,6]=>([(1,6),(3,7),(5,2),(5,7),(6,3),(6,5),(7,4)],8)
[7,6,2,8,4,5,1,3]=>([(0,7),(1,7),(2,6),(3,4),(3,6),(3,7),(4,5)],8)
[6,8,1,5,7,3,2,4]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(2,7),(3,6),(4,6)],8)
[4,1,7,5,6,8,2,3]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(3,5),(4,2),(6,5),(7,3)],8)
[3,7,6,2,1,4,5,8]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(5,7),(6,5)],8)
[1,6,8,7,2,5,4,3]=>([(0,6),(0,7),(6,4),(6,5),(7,1),(7,2),(7,3)],8)
[1,4,8,7,6,3,5,2]=>([(0,4),(0,5),(0,6),(5,7),(6,1),(6,2),(6,3),(6,7)],8)
[4,6,7,5,2,3,1,8]=>([(0,7),(1,5),(2,4),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[6,2,5,3,1,8,7,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,2,5,3,8,7,1,4]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,4,5,3,8,7,1,2]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(3,5),(5,6),(5,7)],8)
[1,6,4,5,8,7,3,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(4,6),(4,7),(5,1)],8)
[8,4,7,5,2,3,1,6]=>([(1,7),(2,6),(3,4),(3,5),(5,7),(6,7)],8)
[8,2,7,4,5,3,1,6]=>([(1,7),(2,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)
[8,2,4,7,5,3,1,6]=>([(1,7),(2,5),(2,6),(4,7),(5,7),(6,3),(6,4)],8)
[8,2,6,7,5,3,1,4]=>([(1,7),(2,4),(2,5),(2,6),(5,7),(6,3)],8)
[8,4,6,7,5,3,1,2]=>([(2,5),(3,4),(3,6),(6,7)],8)
[6,4,5,8,7,3,1,2]=>([(1,6),(1,7),(2,4),(3,5),(5,6),(5,7)],8)
[6,2,8,7,5,3,1,4]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7)],8)
[4,6,5,3,8,7,1,2]=>([(0,6),(0,7),(1,3),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,2,4,5,3,1,8]=>([(0,7),(1,5),(2,4),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[6,8,7,4,5,3,1,2]=>([(1,5),(2,4),(3,6),(3,7)],8)
[2,8,4,7,5,3,1,6]=>([(0,7),(1,3),(1,5),(1,6),(4,7),(5,7),(6,2),(6,4)],8)
[5,8,7,4,6,3,1,2]=>([(1,7),(2,6),(3,4),(3,5),(3,7)],8)
[6,5,8,4,7,2,1,3]=>([(0,7),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[4,8,6,2,5,7,1,3]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(4,7),(6,7)],8)
[8,1,6,2,5,7,3,4]=>([(1,4),(1,6),(3,7),(4,7),(5,2),(6,3),(6,5)],8)
[6,8,1,2,4,7,3,5]=>([(0,4),(0,7),(1,5),(2,6),(3,6),(3,7),(5,2),(5,3)],8)
[8,1,5,3,2,7,4,6]=>([(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[8,3,7,6,2,5,4,1]=>([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[4,6,1,3,5,8,2,7]=>([(0,4),(0,6),(1,2),(1,3),(2,6),(3,7),(4,5),(4,7),(6,5),(6,7)],8)
[4,5,1,3,8,7,2,6]=>([(0,4),(1,2),(1,3),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,2,7,1,8,3,4,5]=>([(0,6),(0,7),(1,5),(2,5),(2,7),(3,4),(5,6),(7,3)],8)
[6,4,5,8,1,7,2,3]=>([(0,6),(0,7),(1,4),(2,3),(2,7),(3,5),(4,6),(4,7)],8)
[6,2,8,5,1,4,7,3]=>([(0,4),(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(6,7)],8)
[2,4,7,6,1,8,3,5]=>([(0,6),(0,7),(1,4),(1,6),(2,7),(3,7),(4,2),(4,3),(4,5),(6,5)],8)
[7,4,5,8,6,3,2,1]=>([(3,7),(4,5),(5,6),(5,7)],8)
[1,6,2,3,8,5,7,4]=>([(0,3),(0,4),(2,6),(3,6),(3,7),(4,5),(5,1),(5,2),(5,7)],8)
[3,4,2,6,8,5,7,1]=>([(1,6),(1,7),(2,4),(4,6),(4,7),(6,5),(7,3),(7,5)],8)
[7,4,1,3,6,8,2,5]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(3,7),(4,6),(4,7),(6,5)],8)
[6,8,1,2,7,3,4,5]=>([(0,6),(1,3),(1,7),(4,5),(5,2),(6,4),(6,7)],8)
[1,6,2,8,7,3,4,5]=>([(0,2),(0,5),(2,6),(2,7),(3,4),(4,1),(5,3),(5,6),(5,7)],8)
[1,6,8,5,7,4,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,7)],8)
[3,8,1,2,4,7,6,5]=>([(0,6),(1,5),(1,7),(6,7),(7,2),(7,3),(7,4)],8)
[1,4,5,7,3,6,8,2]=>([(0,2),(0,3),(0,5),(1,7),(3,6),(4,1),(4,6),(5,4),(6,7)],8)
[2,3,8,1,4,6,5,7]=>([(0,7),(1,5),(3,6),(4,6),(5,2),(5,7),(7,3),(7,4)],8)
[3,6,2,4,7,5,8,1]=>([(1,5),(2,4),(2,5),(3,7),(4,6),(5,3),(5,6),(6,7)],8)
[3,1,8,4,6,2,5,7]=>([(0,5),(0,7),(1,3),(1,5),(1,7),(2,4),(3,6),(6,4),(7,2),(7,6)],8)
[4,2,7,3,5,8,1,6]=>([(0,5),(1,3),(1,6),(2,6),(2,7),(3,7),(6,4),(7,4),(7,5)],8)
[3,1,8,4,5,6,2,7]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(2,5),(3,5),(4,2),(7,4)],8)
[4,2,7,8,6,3,1,5]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(4,7),(6,3)],8)
[7,1,4,2,8,6,3,5]=>([(0,7),(1,3),(1,4),(2,5),(3,5),(3,6),(3,7),(4,2),(4,6),(4,7)],8)
[2,3,7,4,8,1,6,5]=>([(0,6),(0,7),(1,4),(2,5),(3,5),(3,6),(3,7),(4,2),(4,3)],8)
[1,6,3,5,8,7,4,2]=>([(0,3),(0,4),(0,5),(2,6),(2,7),(4,6),(4,7),(5,1),(5,2)],8)
[8,4,6,3,5,1,7,2]=>([(1,6),(2,4),(2,7),(3,5),(3,6),(5,7),(6,7)],8)
[7,3,2,6,8,4,5,1]=>([(1,6),(2,5),(2,7),(3,5),(3,7),(5,6),(7,4)],8)
[2,4,5,7,1,6,8,3]=>([(0,6),(0,7),(1,3),(1,7),(2,5),(3,4),(4,2),(4,6),(6,5)],8)
[8,4,2,6,7,3,5,1]=>([(2,6),(2,7),(3,4),(3,6),(4,7),(6,5)],8)
[4,1,5,7,8,6,2,3]=>([(0,7),(1,5),(1,7),(5,3),(6,2),(7,4),(7,6)],8)
[6,1,4,8,2,3,7,5]=>([(0,6),(0,7),(1,3),(1,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,2)],8)
[7,6,2,3,5,8,4,1]=>([(1,4),(2,7),(3,7),(4,5),(4,6),(6,7)],8)
[2,8,5,7,6,3,4,1]=>([(1,5),(1,6),(1,7),(6,4),(7,2),(7,3)],8)
[2,5,7,8,6,4,1,3]=>([(0,7),(1,4),(1,6),(1,7),(5,3),(6,2),(6,5)],8)
[7,4,1,6,2,5,8,3]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,7),(6,7)],8)
[5,6,2,4,8,7,3,1]=>([(1,5),(2,3),(2,4),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,6,2,3,7,4,1]=>([(2,4),(3,5),(4,7),(5,6),(5,7)],8)
[7,8,1,4,5,6,2,3]=>([(0,4),(1,6),(1,7),(5,2),(6,3),(7,5)],8)
[8,3,1,2,5,4,7,6]=>([(1,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[8,1,5,3,7,4,2,6]=>([(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(4,7),(5,2),(5,6)],8)
[1,2,6,7,8,3,5,4]=>([(0,7),(4,5),(5,3),(6,1),(6,2),(7,4),(7,6)],8)
[1,2,4,8,6,7,3,5]=>([(0,6),(3,7),(4,2),(5,1),(5,4),(5,7),(6,3),(6,5)],8)
[8,1,2,6,5,7,3,4]=>([(1,6),(3,7),(4,7),(5,2),(6,3),(6,4),(6,5)],8)
[7,1,2,6,5,8,3,4]=>([(0,7),(1,6),(3,7),(4,7),(5,2),(6,3),(6,4),(6,5)],8)
[2,6,1,4,7,5,8,3]=>([(0,5),(0,7),(1,3),(1,5),(1,7),(2,4),(3,6),(6,4),(7,2),(7,6)],8)
[3,1,5,7,2,6,8,4]=>([(0,3),(0,7),(1,4),(1,7),(2,5),(3,4),(3,6),(6,5),(7,2),(7,6)],8)
[3,1,7,5,2,6,8,4]=>([(0,2),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(5,3),(6,5),(7,3)],8)
[3,2,7,5,1,6,8,4]=>([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(4,3),(5,4),(6,3)],8)
[5,2,7,3,1,6,8,4]=>([(0,6),(0,7),(1,4),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(7,5)],8)
[6,7,2,1,3,4,8,5]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(4,7),(6,4)],8)
[4,6,3,1,2,7,8,5]=>([(0,6),(0,7),(1,5),(2,3),(2,6),(3,7),(5,6),(5,7),(7,4)],8)
[2,3,5,6,8,4,7,1]=>([(1,6),(3,7),(4,5),(5,2),(5,7),(6,3),(6,4)],8)
[2,4,5,8,3,6,7,1]=>([(1,3),(1,5),(3,7),(5,6),(6,2),(6,7),(7,4)],8)
[4,5,8,7,6,3,1,2]=>([(1,6),(2,7),(7,3),(7,4),(7,5)],8)
[8,7,4,6,5,3,1,2]=>([(3,7),(4,5),(4,6)],8)
[8,1,4,3,6,2,5,7]=>([(1,2),(1,3),(1,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[1,6,3,7,8,4,2,5]=>([(0,3),(0,4),(0,5),(2,6),(3,7),(4,6),(5,2),(5,7),(7,1)],8)
[7,4,2,8,5,6,3,1]=>([(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(6,5)],8)
[5,2,1,3,8,4,6,7]=>([(0,6),(1,6),(2,5),(2,7),(3,7),(6,3),(6,5),(7,4)],8)
[1,4,3,5,8,2,6,7]=>([(0,3),(0,4),(0,5),(3,7),(4,6),(5,6),(6,1),(6,7),(7,2)],8)
[2,1,3,8,6,4,5,7]=>([(0,7),(1,7),(3,6),(4,6),(5,4),(7,2),(7,3),(7,5)],8)
[1,3,6,4,5,8,2,7]=>([(0,3),(0,5),(1,6),(1,7),(2,6),(2,7),(3,7),(4,2),(5,1),(5,4)],8)
[6,1,4,3,5,8,2,7]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(2,7),(3,5),(4,5),(5,6),(5,7)],8)
[6,5,1,3,8,2,4,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(4,5),(4,7),(5,6)],8)
[1,4,3,8,6,2,5,7]=>([(0,1),(0,2),(0,3),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(5,6),(7,6)],8)
[4,1,3,8,6,2,5,7]=>([(0,2),(0,3),(1,4),(1,6),(1,7),(2,7),(3,4),(3,6),(3,7),(6,5),(7,5)],8)
[7,1,5,4,6,3,8,2]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(3,7),(4,6),(5,6),(6,7)],8)
[6,4,7,8,3,5,1,2]=>([(0,7),(1,6),(2,6),(2,7),(3,5),(7,4)],8)
[3,5,6,7,1,8,4,2]=>([(0,5),(0,7),(1,3),(1,6),(1,7),(2,6),(4,2),(5,4)],8)
[3,5,2,4,8,6,7,1]=>([(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[3,7,6,1,4,8,5,2]=>([(0,5),(0,6),(1,2),(1,3),(1,6),(2,7),(3,7),(6,4),(6,7)],8)
[8,4,7,1,5,6,2,3]=>([(1,5),(1,7),(2,6),(2,7),(6,3),(7,4)],8)
[1,7,5,4,3,8,2,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,8,1,7,3,2,6]=>([(0,5),(1,3),(1,4),(1,6),(3,7),(4,7),(5,2),(5,6),(5,7)],8)
[4,6,7,1,3,8,2,5]=>([(0,5),(0,7),(1,2),(1,4),(2,7),(3,6),(4,6),(4,7),(5,3)],8)
[2,6,3,1,4,7,8,5]=>([(0,7),(1,3),(1,4),(3,7),(4,6),(6,5),(7,2),(7,6)],8)
[2,7,3,4,1,8,5,6]=>([(0,6),(0,7),(1,2),(1,5),(2,7),(3,6),(3,7),(5,3),(6,4)],8)
[8,6,4,5,1,3,7,2]=>([(1,7),(2,6),(3,4),(3,5),(5,7),(6,7)],8)
[7,4,8,5,3,6,1,2]=>([(0,7),(1,6),(2,4),(3,5),(3,6),(5,7)],8)
[8,4,6,5,1,3,7,2]=>([(1,4),(1,5),(2,3),(2,6),(4,7),(5,7),(6,7)],8)
[4,5,3,8,7,1,2,6]=>([(0,5),(0,6),(0,7),(1,3),(2,4),(3,7),(4,5),(4,6),(4,7)],8)
[8,5,4,7,6,1,2,3]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(4,5)],8)
[2,3,7,8,1,4,6,5]=>([(0,7),(1,6),(5,2),(6,5),(6,7),(7,3),(7,4)],8)
[8,2,3,5,4,1,7,6]=>([(1,3),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,3,8,2,4,6,5]=>([(0,6),(1,4),(1,5),(4,7),(5,6),(5,7),(7,2),(7,3)],8)
[7,2,3,6,4,1,8,5]=>([(0,3),(1,7),(2,6),(2,7),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[6,5,2,4,1,8,3,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(4,6),(4,7),(5,7)],8)
[5,7,2,4,1,3,8,6]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,5,4,1,8,3,7]=>([(0,6),(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[4,2,6,3,5,8,1,7]=>([(0,7),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(4,7),(6,5),(6,7)],8)
[7,4,2,6,8,5,3,1]=>([(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(6,7)],8)
[8,5,2,4,6,3,1,7]=>([(1,7),(2,6),(3,4),(3,5),(4,7),(5,6),(6,7)],8)
[7,4,1,2,8,5,6,3]=>([(0,7),(1,6),(1,7),(2,3),(3,5),(3,6),(3,7),(6,4)],8)
[6,4,1,8,5,2,3,7]=>([(0,6),(0,7),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,7),(5,7)],8)
[8,4,1,6,3,5,2,7]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,7),(5,7),(6,7)],8)
[7,3,4,1,6,8,5,2]=>([(0,5),(1,4),(2,3),(2,6),(2,7),(4,6),(4,7),(7,5)],8)
[8,6,2,3,5,7,4,1]=>([(2,4),(3,7),(4,5),(4,6),(6,7)],8)
[8,6,2,5,7,3,4,1]=>([(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,3,4,8,5,1,2,7]=>([(0,6),(0,7),(1,3),(2,4),(3,7),(4,5),(4,6),(5,7)],8)
[8,5,1,2,7,4,6,3]=>([(1,3),(2,6),(2,7),(3,4),(3,5),(3,6),(5,7)],8)
[7,2,6,8,3,4,5,1]=>([(1,7),(2,4),(2,6),(4,7),(5,3),(6,5)],8)
[1,6,7,5,4,8,2,3]=>([(0,3),(0,4),(0,5),(0,6),(2,7),(3,7),(4,7),(5,1),(6,2)],8)
[1,8,5,4,2,6,3,7]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,7),(4,7),(5,1),(5,7),(7,6)],8)
[5,8,6,1,2,4,3,7]=>([(0,6),(1,2),(1,5),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[4,1,5,7,3,6,8,2]=>([(0,7),(1,3),(1,4),(1,7),(2,6),(4,5),(5,6),(7,2),(7,5)],8)
[1,4,5,7,6,8,2,3]=>([(0,4),(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3)],8)
[5,7,2,1,6,8,4,3]=>([(0,4),(0,5),(0,7),(1,4),(1,5),(1,7),(2,3),(2,7),(3,6),(7,6)],8)
[2,6,3,1,7,8,5,4]=>([(0,5),(0,6),(0,7),(1,2),(1,4),(2,7),(4,5),(4,6),(4,7),(7,3)],8)
[6,2,5,7,4,1,8,3]=>([(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(3,6),(4,7),(6,7)],8)
[3,6,1,8,7,4,5,2]=>([(0,4),(0,7),(1,3),(1,5),(1,6),(1,7),(4,5),(4,6),(7,2)],8)
[4,7,1,3,5,6,8,2]=>([(0,5),(0,7),(1,2),(1,3),(3,7),(4,6),(5,6),(7,4)],8)
[4,3,5,7,8,2,6,1]=>([(1,7),(2,7),(3,6),(4,5),(7,4),(7,6)],8)
[5,3,2,7,6,4,1,8]=>([(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,3,7,4,6,2,1,8]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,7,3,2,1,8,6,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(4,7)],8)
[5,7,6,3,2,1,8,4]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)
[3,2,7,5,4,1,8,6]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,3,5,4,2,6,8]=>([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(7,6)],8)
[5,3,7,4,1,8,6,2]=>([(0,5),(0,6),(1,3),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(5,7)],8)
[7,3,5,4,1,6,8,2]=>([(0,6),(1,3),(1,7),(2,4),(2,5),(4,7),(5,7),(7,6)],8)
[7,5,1,6,8,3,2,4]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6)],8)
[5,3,1,7,6,8,2,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(6,4),(7,4)],8)
[7,1,5,3,2,4,8,6]=>([(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8)
[7,1,5,2,4,3,6,8]=>([(0,6),(1,4),(1,5),(2,7),(3,7),(4,7),(5,2),(5,3),(7,6)],8)
[1,8,3,6,2,4,7,5]=>([(0,3),(0,4),(0,5),(2,6),(4,7),(5,2),(5,7),(7,1),(7,6)],8)
[1,8,7,5,6,4,2,3]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(6,2),(7,1)],8)
[6,8,2,1,5,4,3,7]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,7),(4,7),(5,7),(6,7)],8)
[6,3,2,1,5,8,4,7]=>([(0,5),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(5,6),(7,4),(7,6)],8)
[4,3,5,6,2,8,1,7]=>([(0,7),(1,6),(1,7),(2,5),(3,5),(4,6),(4,7),(5,4)],8)
[6,3,5,2,7,8,4,1]=>([(1,7),(2,6),(2,7),(3,4),(3,6),(4,7),(7,5)],8)
[4,5,3,1,6,8,2,7]=>([(0,7),(1,3),(2,5),(2,7),(3,7),(5,6),(7,4),(7,6)],8)
[3,4,6,7,5,1,8,2]=>([(0,6),(1,4),(1,7),(2,7),(3,7),(5,3),(6,2),(6,5)],8)
[7,4,1,2,5,6,8,3]=>([(0,7),(1,6),(2,3),(3,5),(3,7),(4,6),(7,4)],8)
[4,8,2,6,7,1,5,3]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(6,3)],8)
[6,5,8,3,7,1,4,2]=>([(0,5),(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6)],8)
[1,5,2,4,7,6,8,3]=>([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(5,7),(6,7)],8)
[2,5,4,7,1,8,3,6]=>([(0,2),(0,3),(0,5),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(5,7),(6,4)],8)
[8,1,2,4,6,3,5,7]=>([(1,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7)],8)
[3,7,8,4,5,6,1,2]=>([(0,4),(1,6),(1,7),(5,2),(6,3),(7,5)],8)
[1,3,8,6,7,4,5,2]=>([(0,4),(0,7),(5,3),(6,2),(7,1),(7,5),(7,6)],8)
[2,6,5,3,7,1,8,4]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,7),(3,7),(4,5),(4,7),(7,6)],8)
[5,7,1,3,6,4,8,2]=>([(0,4),(0,6),(1,2),(1,5),(3,7),(4,7),(5,3),(5,6),(6,7)],8)
[8,2,5,4,1,7,3,6]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[8,1,7,6,4,2,3,5]=>([(1,2),(1,3),(1,5),(1,6),(4,7),(5,7),(6,4)],8)
[1,8,6,3,7,4,5,2]=>([(0,2),(0,3),(0,4),(0,6),(4,7),(5,1),(6,5),(6,7)],8)
[5,7,3,4,2,8,6,1]=>([(1,6),(1,7),(2,5),(3,4),(3,6),(4,7),(5,6),(5,7)],8)
[5,8,3,4,2,7,6,1]=>([(1,6),(1,7),(2,5),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
[7,6,4,2,3,8,5,1]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[3,5,6,8,2,4,7,1]=>([(1,6),(2,3),(2,6),(3,5),(5,4),(5,7),(6,7)],8)
[4,8,7,3,2,5,6,1]=>([(1,7),(2,7),(3,4),(3,5),(3,7),(7,6)],8)
[3,7,4,2,6,8,5,1]=>([(1,5),(1,6),(2,3),(2,4),(3,7),(4,5),(4,6),(6,7)],8)
[6,4,8,7,3,2,5,1]=>([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7)],8)
[5,6,2,8,7,4,3,1]=>([(1,5),(2,3),(2,4),(2,6),(2,7),(5,6),(5,7)],8)
[6,2,8,3,7,4,5,1]=>([(1,3),(1,6),(2,6),(2,7),(3,5),(3,7),(5,4)],8)
[3,7,5,6,4,2,8,1]=>([(1,7),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[5,2,3,8,6,1,4,7]=>([(0,3),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[1,4,3,8,5,6,2,7]=>([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(7,1)],8)
[7,8,2,6,4,3,5,1]=>([(1,4),(2,3),(2,5),(2,6),(5,7),(6,7)],8)
[4,5,8,7,2,3,6,1]=>([(1,5),(2,6),(5,7),(6,3),(6,4),(6,7)],8)
[7,8,6,1,4,2,5,3]=>([(1,4),(2,5),(2,6),(5,7),(6,3),(6,7)],8)
[8,3,6,5,2,7,1,4]=>([(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[5,1,3,6,4,2,7,8]=>([(0,6),(1,3),(1,5),(2,7),(3,7),(5,2),(5,6),(6,7),(7,4)],8)
[6,1,2,4,7,5,3,8]=>([(0,6),(1,5),(2,7),(3,7),(4,3),(4,6),(5,2),(5,4),(6,7)],8)
[8,3,1,4,6,7,2,5]=>([(1,6),(2,3),(2,6),(3,7),(4,5),(6,4),(6,7)],8)
[7,8,5,1,2,6,3,4]=>([(0,7),(1,6),(2,4),(5,3),(6,5),(6,7)],8)
[6,4,5,1,8,7,3,2]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(2,6),(2,7),(5,6),(5,7)],8)
[8,6,2,1,7,3,5,4]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5)],8)
[7,8,6,1,4,3,5,2]=>([(1,4),(2,3),(2,5),(2,6),(5,7),(6,7)],8)
[4,3,6,2,5,7,1,8]=>([(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(4,6),(6,5),(7,6)],8)
[1,6,5,7,3,4,8,2]=>([(0,2),(0,3),(0,4),(0,5),(1,7),(3,6),(4,6),(5,1),(6,7)],8)
[8,2,6,5,1,7,4,3]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7)],8)
[7,6,4,1,2,5,8,3]=>([(0,7),(1,7),(2,6),(3,4),(4,5),(4,6),(6,7)],8)
[2,6,5,4,8,7,1,3]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7)],8)
[5,6,7,1,3,2,4,8]=>([(0,5),(1,3),(1,4),(2,7),(3,6),(4,6),(5,2),(6,7)],8)
[7,1,8,4,3,2,6,5]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7)],8)
[1,8,5,2,7,6,4,3]=>([(0,3),(0,4),(0,5),(4,6),(4,7),(5,1),(5,2),(5,6),(5,7)],8)
[1,7,6,8,2,5,4,3]=>([(0,4),(0,5),(0,6),(4,7),(5,7),(6,1),(6,2),(6,3)],8)
[1,7,8,6,2,5,4,3]=>([(0,5),(0,6),(0,7),(6,4),(7,1),(7,2),(7,3)],8)
[4,6,5,7,1,8,2,3]=>([(0,5),(0,7),(1,3),(1,4),(3,6),(4,6),(5,2),(6,7)],8)
[7,5,3,6,8,4,2,1]=>([(2,7),(3,6),(4,5),(4,6),(6,7)],8)
[7,2,5,6,4,8,3,1]=>([(1,7),(2,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)
[7,4,6,2,8,5,3,1]=>([(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(5,7)],8)
[1,6,3,4,2,5,8,7]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(3,7),(4,1),(5,6),(5,7)],8)
[1,5,7,6,2,3,8,4]=>([(0,5),(0,6),(2,7),(3,7),(4,1),(4,7),(5,4),(6,2),(6,3)],8)
[1,4,3,7,6,2,5,8]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,3,7,4,6,8,5,2]=>([(0,4),(0,6),(2,7),(3,7),(5,1),(5,3),(6,2),(6,5)],8)
[3,7,4,6,8,1,5,2]=>([(0,4),(0,7),(1,3),(1,5),(2,6),(3,6),(5,2),(5,7)],8)
[4,8,3,1,7,6,2,5]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(4,7)],8)
[5,6,1,4,3,8,7,2]=>([(0,5),(1,2),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,6,4,3,1,7,2]=>([(0,7),(1,7),(2,5),(2,7),(3,4),(3,6),(6,7)],8)
[4,1,3,7,8,6,5,2]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(4,5),(4,6),(4,7),(7,2)],8)
[9,1,2,3,4,5,6,7,8]=>([(1,8),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6)],9)
[8,1,2,3,4,5,6,9,7]=>([(0,8),(1,6),(3,5),(4,3),(5,7),(6,4),(7,2),(7,8)],9)
[7,1,2,3,4,5,9,6,8]=>([(0,7),(0,8),(1,5),(2,8),(3,4),(4,6),(5,3),(6,2),(6,7)],9)
[9,1,2,3,4,5,8,6,7]=>([(1,7),(4,5),(5,8),(6,2),(7,4),(8,3),(8,6)],9)
[7,1,2,3,4,5,8,9,6]=>([(0,8),(1,6),(4,5),(5,7),(6,4),(7,2),(7,8),(8,3)],9)
[6,1,2,3,4,9,5,7,8]=>([(0,7),(0,8),(1,5),(2,8),(4,6),(5,4),(6,2),(6,7),(8,3)],9)
[6,1,2,3,4,8,5,9,7]=>([(0,7),(0,8),(1,4),(2,6),(2,8),(3,5),(4,3),(5,2),(5,7),(7,6)],9)
[9,1,2,3,4,7,5,6,8]=>([(1,6),(2,8),(3,8),(4,7),(5,2),(6,4),(7,3),(7,5)],9)
[9,1,2,3,4,8,5,6,7]=>([(1,7),(4,8),(5,6),(6,2),(7,4),(8,3),(8,5)],9)
[8,1,2,3,4,7,5,9,6]=>([(0,8),(1,5),(3,8),(4,7),(5,4),(6,2),(6,8),(7,3),(7,6)],9)
[6,1,2,3,4,7,9,5,8]=>([(0,8),(1,6),(3,7),(4,5),(5,3),(5,8),(6,4),(8,2),(8,7)],9)
[6,1,2,3,4,9,8,5,7]=>([(0,6),(0,7),(0,8),(1,4),(2,8),(3,5),(4,3),(5,2),(5,6),(5,7)],9)
[9,1,2,3,4,7,8,5,6]=>([(1,7),(4,8),(5,3),(6,2),(7,4),(8,5),(8,6)],9)
[6,1,2,3,4,7,8,9,5]=>([(0,8),(1,5),(4,6),(5,4),(6,2),(6,8),(7,3),(8,7)],9)
[5,1,2,3,9,4,6,7,8]=>([(0,7),(0,8),(1,5),(3,8),(4,2),(5,6),(6,3),(6,7),(8,4)],9)
[5,1,2,3,8,4,6,9,7]=>([(0,7),(0,8),(1,5),(3,8),(4,3),(4,7),(5,4),(7,6),(8,2),(8,6)],9)
[9,1,2,3,6,4,5,7,8]=>([(1,6),(2,8),(3,8),(5,3),(6,7),(7,2),(7,5),(8,4)],9)
[8,1,2,3,9,4,5,6,7]=>([(0,8),(1,6),(3,5),(4,3),(5,2),(6,7),(7,4),(7,8)],9)
[5,1,2,3,9,8,4,6,7]=>([(0,6),(0,7),(0,8),(1,4),(2,8),(4,5),(5,2),(5,6),(5,7),(8,3)],9)
[9,1,2,3,6,8,4,5,7]=>([(1,5),(3,8),(4,3),(5,7),(6,2),(6,8),(7,4),(7,6)],9)
[5,1,2,3,6,9,8,4,7]=>([(0,8),(1,6),(4,7),(5,4),(5,8),(6,5),(8,2),(8,3),(8,7)],9)
[5,1,2,3,6,7,8,9,4]=>([(0,8),(1,5),(4,2),(5,6),(6,3),(6,8),(7,4),(8,7)],9)
[4,1,2,8,3,5,6,9,7]=>([(0,7),(0,8),(1,4),(3,7),(4,3),(4,8),(5,2),(5,6),(7,5),(8,6)],9)
[4,1,2,9,3,5,8,6,7]=>([(0,7),(0,8),(1,6),(2,8),(5,4),(6,2),(6,7),(8,3),(8,5)],9)
[4,1,2,9,3,8,5,6,7]=>([(0,6),(0,7),(0,8),(1,4),(3,6),(3,7),(4,3),(4,8),(5,2),(7,5)],9)
[9,1,2,5,3,4,6,7,8]=>([(1,7),(3,8),(4,8),(5,4),(6,2),(7,3),(7,5),(8,6)],9)
[9,1,2,8,3,4,5,6,7]=>([(1,8),(4,5),(5,7),(6,4),(7,2),(8,3),(8,6)],9)
[7,1,2,8,3,4,5,9,6]=>([(0,8),(1,5),(3,4),(4,6),(5,3),(5,8),(6,2),(6,7),(8,7)],9)
[4,1,2,5,9,3,6,7,8]=>([(0,8),(1,5),(4,7),(5,4),(5,8),(6,2),(7,6),(8,3),(8,7)],9)
[4,1,2,8,9,3,5,6,7]=>([(0,7),(0,8),(1,5),(4,7),(5,4),(5,8),(6,2),(7,6),(8,3)],9)
[8,1,2,5,9,3,4,6,7]=>([(0,7),(1,6),(3,8),(4,7),(4,8),(5,3),(6,4),(6,5),(8,2)],9)
[8,1,2,9,6,3,4,5,7]=>([(0,8),(1,6),(2,7),(3,7),(4,5),(5,3),(6,2),(6,4),(6,8)],9)
[4,1,2,5,9,8,3,6,7]=>([(0,8),(1,6),(4,7),(6,4),(6,8),(7,5),(8,2),(8,3),(8,7)],9)
[9,1,2,8,6,7,3,4,5]=>([(1,8),(5,3),(6,7),(7,4),(8,2),(8,5),(8,6)],9)
[4,1,2,5,6,7,9,3,8]=>([(0,8),(1,5),(3,7),(4,6),(5,3),(5,8),(6,2),(6,7),(8,4)],9)
[4,1,2,9,6,7,8,3,5]=>([(0,6),(0,7),(0,8),(1,4),(3,6),(4,3),(4,7),(4,8),(5,2),(8,5)],9)
[9,1,2,5,6,7,8,3,4]=>([(1,8),(4,6),(5,4),(6,3),(7,2),(8,5),(8,7)],9)
[4,1,2,5,6,7,8,9,3]=>([(0,8),(1,6),(4,5),(5,2),(6,3),(6,8),(7,4),(8,7)],9)
[3,1,9,2,4,5,6,7,8]=>([(0,7),(0,8),(1,3),(1,7),(3,8),(4,6),(5,4),(6,2),(8,5)],9)
[3,1,8,2,4,5,6,9,7]=>([(0,7),(0,8),(1,3),(1,8),(3,7),(4,2),(4,6),(5,4),(7,5),(8,6)],9)
[3,1,9,2,4,5,8,6,7]=>([(0,7),(0,8),(1,4),(1,8),(4,7),(5,3),(6,2),(6,5),(7,6)],9)
[3,1,5,2,7,4,9,6,8]=>([(0,2),(0,8),(1,7),(1,8),(2,6),(2,7),(5,4),(6,3),(6,4),(7,3),(7,5),(8,5),(8,6)],9)
[8,1,4,2,3,5,6,9,7]=>([(0,8),(1,4),(1,5),(3,7),(4,7),(5,3),(6,2),(6,8),(7,6)],9)
[9,1,4,2,3,5,8,6,7]=>([(1,4),(1,6),(3,8),(4,8),(6,3),(7,2),(8,5),(8,7)],9)
[6,1,4,2,3,7,8,9,5]=>([(0,8),(1,4),(1,5),(3,7),(3,8),(4,7),(4,8),(5,3),(6,2),(8,6)],9)
[9,1,8,2,3,4,5,6,7]=>([(1,3),(1,8),(4,5),(5,7),(6,4),(7,2),(8,6)],9)
[8,1,7,2,3,4,5,9,6]=>([(0,8),(1,3),(1,6),(3,8),(4,5),(5,7),(6,4),(7,2),(7,8)],9)
[3,1,4,9,2,5,6,7,8]=>([(0,8),(1,4),(1,8),(4,7),(5,3),(6,5),(7,6),(8,2),(8,7)],9)
[3,1,4,9,2,5,8,6,7]=>([(0,8),(1,4),(1,8),(4,7),(6,3),(7,5),(7,6),(8,2),(8,7)],9)
[3,1,9,8,2,4,5,6,7]=>([(0,6),(0,7),(0,8),(1,3),(1,7),(1,8),(3,6),(4,2),(5,4),(6,5)],9)
[9,1,4,5,2,3,6,7,8]=>([(1,5),(1,6),(3,8),(4,8),(5,4),(6,3),(7,2),(8,7)],9)
[7,1,4,5,2,3,8,9,6]=>([(0,8),(1,5),(1,6),(3,7),(3,8),(4,7),(4,8),(5,4),(6,3),(8,2)],9)
[7,1,4,9,2,3,5,6,8]=>([(0,6),(0,7),(1,4),(1,5),(2,8),(3,6),(4,7),(4,8),(5,2),(8,3)],9)
[9,1,4,8,2,3,5,6,7]=>([(1,5),(1,6),(4,8),(5,4),(6,2),(6,8),(7,3),(8,7)],9)
[9,1,6,5,2,3,4,7,8]=>([(1,3),(1,4),(1,7),(2,8),(3,8),(4,8),(6,2),(7,6),(8,5)],9)
[7,1,9,6,2,3,4,5,8]=>([(0,7),(0,8),(1,3),(1,6),(1,7),(2,8),(3,8),(4,5),(5,2),(6,4)],9)
[9,1,8,6,2,3,4,5,7]=>([(1,2),(1,4),(1,7),(3,8),(4,8),(5,6),(6,3),(7,5)],9)
[7,1,8,9,2,3,4,5,6]=>([(0,8),(1,7),(1,8),(4,6),(5,4),(6,2),(7,5),(8,3)],9)
[3,1,4,8,9,2,5,6,7]=>([(0,8),(1,4),(1,8),(4,7),(5,3),(6,2),(7,6),(8,5),(8,7)],9)
[3,1,8,9,7,2,4,5,6]=>([(0,6),(0,7),(0,8),(1,4),(1,7),(1,8),(4,6),(5,3),(6,5),(8,2)],9)
[8,1,4,5,6,2,3,9,7]=>([(0,8),(1,5),(1,6),(2,7),(2,8),(3,7),(3,8),(4,3),(5,4),(6,2)],9)
[8,1,4,9,7,2,3,5,6]=>([(0,7),(1,5),(1,6),(4,8),(5,4),(6,2),(6,7),(6,8),(8,3)],9)
[8,1,9,5,6,2,3,4,7]=>([(0,8),(1,5),(1,6),(1,8),(2,7),(3,7),(4,3),(5,4),(6,2)],9)
[8,1,9,7,6,2,3,4,5]=>([(0,8),(1,3),(1,4),(1,7),(1,8),(5,6),(6,2),(7,5)],9)
[7,1,4,5,6,2,8,9,3]=>([(0,8),(1,6),(1,7),(3,8),(5,3),(6,5),(7,2),(7,8),(8,4)],9)
[3,1,4,5,6,9,2,7,8]=>([(0,7),(1,4),(1,7),(4,8),(5,3),(5,8),(6,5),(7,6),(8,2)],9)
[3,1,4,5,6,8,2,9,7]=>([(0,8),(1,3),(1,8),(2,6),(3,6),(3,7),(4,5),(5,2),(5,7),(8,4)],9)
[3,1,4,9,8,7,2,5,6]=>([(0,8),(1,5),(1,8),(5,7),(7,6),(8,2),(8,3),(8,4),(8,7)],9)
[3,1,9,8,6,7,2,4,5]=>([(0,4),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(4,5),(5,3),(8,2)],9)
[9,1,4,5,6,7,2,3,8]=>([(1,6),(1,7),(2,8),(3,8),(4,5),(5,3),(6,4),(7,2)],9)
[9,1,4,8,6,7,2,3,5]=>([(1,6),(1,7),(4,8),(5,3),(6,4),(7,2),(7,5),(7,8)],9)
[9,1,8,5,6,7,2,3,4]=>([(1,4),(1,7),(1,8),(5,3),(6,2),(7,5),(8,6)],9)
[8,1,4,5,6,7,2,9,3]=>([(0,8),(1,6),(1,7),(3,8),(4,5),(5,3),(6,4),(7,2),(7,8)],9)
[3,1,4,5,6,7,9,2,8]=>([(0,8),(1,3),(1,8),(3,7),(4,6),(5,4),(6,2),(6,7),(8,5)],9)
[3,1,4,9,6,7,8,2,5]=>([(0,8),(1,4),(1,8),(4,7),(5,6),(6,3),(8,2),(8,5),(8,7)],9)
[3,1,9,5,6,7,8,2,4]=>([(0,6),(0,7),(0,8),(1,3),(1,7),(1,8),(3,6),(4,2),(5,4),(8,5)],9)
[9,1,4,5,6,7,8,2,3]=>([(1,7),(1,8),(4,6),(5,4),(6,3),(7,5),(8,2)],9)
[3,1,4,5,6,7,8,9,2]=>([(0,8),(1,3),(1,8),(4,6),(5,4),(6,2),(7,5),(8,7)],9)
[2,9,1,3,4,5,6,7,8]=>([(0,8),(1,3),(1,8),(4,6),(5,4),(6,2),(7,5),(8,7)],9)
[2,8,1,3,4,5,6,9,7]=>([(0,8),(1,3),(1,8),(3,7),(4,6),(5,4),(6,2),(6,7),(8,5)],9)
[2,7,1,3,4,5,9,6,8]=>([(0,8),(1,3),(1,8),(2,6),(3,6),(3,7),(4,5),(5,2),(5,7),(8,4)],9)
[2,9,1,3,4,5,8,6,7]=>([(0,8),(1,4),(1,8),(5,3),(6,7),(7,2),(7,5),(8,6)],9)
[2,7,1,3,4,5,8,9,6]=>([(0,7),(1,4),(1,7),(4,8),(5,3),(5,8),(6,5),(7,6),(8,2)],9)
[2,6,1,3,4,9,5,7,8]=>([(0,7),(1,4),(1,7),(3,8),(4,6),(4,8),(5,3),(5,6),(7,5),(8,2)],9)
[2,9,1,3,4,8,5,6,7]=>([(0,8),(1,4),(1,8),(5,6),(6,3),(7,2),(7,5),(8,7)],9)
[2,8,1,3,9,4,5,6,7]=>([(0,8),(1,3),(1,8),(3,7),(4,6),(5,4),(6,2),(8,5),(8,7)],9)
[2,9,1,3,8,7,4,5,6]=>([(0,8),(1,3),(1,8),(6,2),(7,6),(8,4),(8,5),(8,7)],9)
[2,9,1,3,6,7,8,4,5]=>([(0,8),(1,4),(1,8),(5,2),(6,3),(7,5),(8,6),(8,7)],9)
[2,5,1,3,6,7,8,9,4]=>([(0,8),(1,4),(1,8),(4,7),(5,3),(6,5),(7,6),(8,2),(8,7)],9)
[2,4,1,6,3,8,5,9,7]=>([(0,2),(0,8),(1,7),(1,8),(2,6),(2,7),(5,4),(6,3),(6,4),(7,3),(7,5),(8,5),(8,6)],9)
[2,9,1,8,3,4,5,6,7]=>([(0,7),(0,8),(1,3),(1,7),(1,8),(4,6),(5,4),(6,2),(8,5)],9)
[2,7,1,6,3,4,8,9,5]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(3,8),(5,2),(5,8),(6,5),(7,8),(8,4)],9)
[2,6,1,5,3,7,8,9,4]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(4,8),(5,3),(6,8),(7,2),(7,8),(8,5)],9)
[2,4,1,5,9,3,6,7,8]=>([(0,7),(0,8),(1,4),(1,7),(4,8),(5,3),(6,5),(7,6),(8,2),(8,6)],9)
[2,4,1,8,9,3,5,6,7]=>([(0,7),(0,8),(1,4),(1,7),(4,6),(4,8),(5,3),(6,5),(7,6),(8,2)],9)
[2,8,1,9,7,3,4,5,6]=>([(0,6),(0,7),(0,8),(1,3),(1,7),(1,8),(3,6),(4,2),(5,4),(8,5)],9)
[2,9,1,8,6,7,3,4,5]=>([(0,6),(0,7),(0,8),(1,4),(1,6),(1,7),(1,8),(5,3),(7,5),(8,2)],9)
[2,4,1,5,6,7,9,3,8]=>([(0,7),(0,8),(1,3),(1,8),(3,7),(4,2),(4,6),(5,4),(7,5),(8,6)],9)
[2,4,1,5,6,9,8,3,7]=>([(0,7),(0,8),(1,4),(1,8),(4,7),(5,2),(5,3),(5,6),(7,5),(8,6)],9)
[2,9,1,5,6,7,8,3,4]=>([(0,7),(0,8),(1,4),(1,7),(1,8),(5,3),(6,5),(7,6),(8,2)],9)
[2,4,1,5,6,7,8,9,3]=>([(0,7),(0,8),(1,3),(1,7),(3,8),(4,6),(5,4),(6,2),(8,5)],9)
[9,3,1,2,4,5,6,7,8]=>([(1,8),(2,4),(4,8),(5,6),(6,3),(7,5),(8,7)],9)
[8,3,1,2,4,5,6,9,7]=>([(0,7),(1,8),(2,4),(4,7),(5,3),(5,8),(6,5),(7,6)],9)
[9,3,1,2,4,5,8,6,7]=>([(1,8),(2,5),(5,8),(6,4),(7,3),(7,6),(8,7)],9)
[6,3,1,2,4,7,8,9,5]=>([(0,8),(1,7),(2,5),(5,8),(6,4),(7,6),(8,3),(8,7)],9)
[9,3,1,2,6,7,8,4,5]=>([(1,7),(1,8),(2,5),(5,7),(5,8),(6,4),(7,6),(8,3)],9)
[5,3,1,2,6,7,8,9,4]=>([(0,8),(1,7),(1,8),(2,4),(4,7),(4,8),(5,3),(6,5),(8,6)],9)
[9,4,1,2,3,5,6,7,8]=>([(1,8),(2,6),(4,8),(5,3),(6,4),(7,5),(8,7)],9)
[7,4,1,2,3,5,8,9,6]=>([(0,8),(1,7),(2,6),(3,7),(6,3),(7,4),(7,8),(8,5)],9)
[6,4,1,2,3,7,8,9,5]=>([(0,8),(1,7),(1,8),(2,5),(4,7),(4,8),(5,4),(6,3),(8,6)],9)
[5,9,1,2,3,4,6,7,8]=>([(0,7),(1,4),(1,8),(3,8),(5,3),(6,2),(7,5),(8,6)],9)
[5,8,1,2,3,4,6,9,7]=>([(0,6),(1,4),(1,8),(3,8),(4,7),(5,3),(6,5),(8,2),(8,7)],9)
[5,7,1,2,3,4,8,9,6]=>([(0,6),(1,4),(1,7),(3,7),(3,8),(4,8),(5,3),(6,5),(8,2)],9)
[9,6,1,2,3,4,5,7,8]=>([(1,8),(2,7),(3,8),(5,6),(6,3),(7,5),(8,4)],9)
[8,6,1,2,3,4,5,9,7]=>([(0,8),(1,7),(1,8),(2,6),(3,7),(3,8),(4,5),(5,3),(6,4)],9)
[9,7,1,2,3,4,5,6,8]=>([(1,8),(2,7),(3,8),(4,6),(5,4),(6,3),(7,5)],9)
[8,9,1,2,3,4,5,6,7]=>([(0,8),(1,3),(4,5),(5,7),(6,4),(7,2),(8,6)],9)
[8,7,1,2,3,4,5,9,6]=>([(0,8),(1,8),(2,6),(4,5),(5,7),(6,4),(7,3),(7,8)],9)
[7,6,1,2,3,4,9,5,8]=>([(0,7),(0,8),(1,7),(1,8),(2,5),(3,8),(4,6),(5,4),(6,3),(6,7)],9)
[9,6,1,2,3,4,8,5,7]=>([(1,7),(1,8),(2,5),(3,8),(4,6),(5,4),(6,3),(6,7)],9)
[9,7,1,2,3,4,8,5,6]=>([(1,8),(2,6),(4,7),(5,3),(6,4),(7,5),(7,8)],9)
[7,6,1,2,3,4,8,9,5]=>([(0,8),(1,8),(2,6),(5,7),(6,5),(7,3),(7,8),(8,4)],9)
[5,6,1,2,3,9,4,7,8]=>([(0,6),(1,4),(3,8),(4,7),(4,8),(5,3),(5,7),(6,5),(8,2)],9)
[5,9,1,2,3,8,4,6,7]=>([(0,6),(1,4),(1,7),(1,8),(3,8),(5,3),(5,7),(6,5),(8,2)],9)
[9,6,1,2,3,7,4,5,8]=>([(1,8),(2,6),(3,7),(4,5),(4,8),(5,3),(6,4),(8,7)],9)
[9,8,1,2,3,7,4,5,6]=>([(2,7),(5,6),(6,3),(7,8),(8,4),(8,5)],9)
[8,6,1,2,3,7,4,9,5]=>([(0,8),(1,7),(2,4),(4,6),(5,3),(5,8),(6,5),(6,7),(7,8)],9)
[5,6,1,2,3,7,9,4,8]=>([(0,6),(1,4),(3,7),(4,8),(5,3),(5,8),(6,5),(8,2),(8,7)],9)
[9,6,1,2,3,7,8,4,5]=>([(1,8),(2,6),(5,3),(6,7),(7,5),(7,8),(8,4)],9)
[5,6,1,2,3,7,8,9,4]=>([(0,7),(1,4),(4,8),(5,3),(5,8),(6,2),(7,5),(8,6)],9)
[5,4,1,2,9,3,6,7,8]=>([(0,7),(0,8),(1,7),(1,8),(2,5),(4,7),(5,4),(5,8),(6,3),(7,6)],9)
[8,4,1,2,9,3,5,6,7]=>([(0,8),(1,7),(1,8),(2,5),(4,7),(5,4),(5,8),(6,3),(7,6)],9)
[5,9,1,2,6,3,4,7,8]=>([(0,6),(1,4),(1,7),(3,8),(5,3),(6,5),(6,7),(7,8),(8,2)],9)
[5,8,1,2,9,3,4,6,7]=>([(0,6),(1,4),(1,8),(3,8),(4,7),(5,3),(6,5),(6,7),(8,2)],9)
[9,7,1,2,6,3,8,4,5]=>([(1,8),(2,7),(4,8),(5,3),(6,5),(6,8),(7,4),(7,6)],9)
[5,4,1,2,6,9,3,7,8]=>([(0,8),(1,8),(2,6),(4,7),(6,4),(6,8),(7,5),(8,3),(8,7)],9)
[9,8,1,2,6,7,3,4,5]=>([(2,8),(5,6),(6,3),(7,4),(8,5),(8,7)],9)
[5,4,1,2,6,7,9,3,8]=>([(0,8),(1,8),(2,5),(4,7),(5,4),(5,8),(6,3),(6,7),(8,6)],9)
[5,4,1,2,6,7,8,9,3]=>([(0,8),(1,8),(2,6),(5,3),(6,4),(6,8),(7,5),(8,7)],9)
[4,3,1,9,2,5,6,7,8]=>([(0,7),(0,8),(1,7),(1,8),(2,4),(2,8),(4,7),(5,3),(6,5),(7,6)],9)
[9,3,1,8,2,4,5,6,7]=>([(1,7),(1,8),(2,4),(2,8),(4,7),(5,3),(6,5),(7,6)],9)
[9,4,1,5,2,3,6,7,8]=>([(1,8),(2,5),(2,8),(4,7),(5,4),(6,3),(7,6),(8,7)],9)
[9,4,1,8,2,3,5,6,7]=>([(1,7),(1,8),(2,5),(2,8),(4,7),(5,4),(6,3),(7,6)],9)
[6,9,1,5,2,3,4,7,8]=>([(0,5),(0,8),(1,3),(1,7),(2,8),(3,8),(6,2),(7,6),(8,4)],9)
[9,7,1,6,2,3,4,5,8]=>([(1,8),(2,4),(2,7),(3,8),(4,8),(5,6),(6,3),(7,5)],9)
[8,7,1,9,2,3,4,5,6]=>([(0,8),(1,8),(2,7),(2,8),(4,6),(5,4),(6,3),(7,5)],9)
[8,7,1,6,2,3,4,9,5]=>([(0,8),(1,8),(2,4),(2,6),(4,8),(5,7),(6,5),(7,3),(7,8)],9)
[9,4,1,6,2,8,3,5,7]=>([(1,3),(1,8),(2,7),(2,8),(3,4),(3,6),(4,7),(7,5),(8,5),(8,6)],9)
[9,8,1,6,2,7,3,4,5]=>([(2,4),(2,7),(4,8),(5,6),(6,3),(7,5),(7,8)],9)
[4,3,1,5,9,2,6,7,8]=>([(0,8),(1,8),(2,5),(2,8),(5,7),(6,3),(7,6),(8,4),(8,7)],9)
[9,8,1,7,6,2,3,4,5]=>([(2,4),(2,5),(2,8),(6,7),(7,3),(8,6)],9)
[4,3,1,5,6,8,2,9,7]=>([(0,8),(1,8),(2,4),(2,8),(3,5),(3,7),(4,6),(4,7),(5,6),(8,3)],9)
[4,3,1,5,9,8,2,6,7]=>([(0,8),(1,8),(2,5),(2,8),(5,7),(7,6),(8,3),(8,4),(8,7)],9)
[4,3,1,5,8,7,2,9,6]=>([(0,7),(1,7),(2,5),(2,7),(3,8),(4,8),(5,6),(5,8),(7,3),(7,4),(7,6)],9)
[8,9,1,5,6,7,2,3,4]=>([(0,4),(1,7),(1,8),(5,3),(6,2),(7,5),(8,6)],9)
[4,3,1,5,6,7,9,2,8]=>([(0,8),(1,8),(2,4),(2,8),(4,7),(5,6),(6,3),(6,7),(8,5)],9)
[4,3,1,5,6,9,8,2,7]=>([(0,8),(1,8),(2,5),(2,8),(5,7),(6,3),(6,4),(6,7),(8,6)],9)
[9,3,1,5,6,7,8,2,4]=>([(1,7),(1,8),(2,4),(2,8),(4,7),(5,3),(6,5),(8,6)],9)
[9,4,1,5,6,7,8,2,3]=>([(1,8),(2,6),(2,8),(5,3),(6,4),(7,5),(8,7)],9)
[4,3,1,5,6,7,8,9,2]=>([(0,8),(1,8),(2,4),(2,8),(5,6),(6,3),(7,5),(8,7)],9)
[2,3,9,1,4,5,6,7,8]=>([(0,8),(1,6),(4,5),(5,2),(6,3),(6,8),(7,4),(8,7)],9)
[2,3,8,1,4,5,6,9,7]=>([(0,8),(1,5),(3,7),(4,6),(5,3),(5,8),(6,2),(6,7),(8,4)],9)
[2,3,9,1,4,5,8,6,7]=>([(0,8),(1,6),(5,4),(6,2),(6,8),(7,3),(7,5),(8,7)],9)
[2,3,9,1,4,7,8,5,6]=>([(0,8),(1,5),(5,2),(5,8),(6,4),(7,3),(8,6),(8,7)],9)
[2,3,9,1,8,7,4,5,6]=>([(0,6),(0,7),(0,8),(1,4),(4,3),(4,6),(4,7),(4,8),(5,2),(8,5)],9)
[2,3,8,1,6,7,4,9,5]=>([(0,6),(0,7),(1,5),(2,8),(4,8),(5,2),(5,6),(5,7),(6,4),(7,3),(7,8)],9)
[2,3,5,1,6,7,9,4,8]=>([(0,7),(0,8),(1,4),(3,7),(4,3),(4,8),(5,2),(5,6),(7,5),(8,6)],9)
[2,3,9,1,6,7,8,4,5]=>([(0,7),(0,8),(1,5),(5,4),(5,7),(5,8),(6,2),(7,6),(8,3)],9)
[2,3,5,1,6,7,8,9,4]=>([(0,7),(0,8),(1,6),(3,8),(4,5),(5,2),(6,3),(6,7),(8,4)],9)
[2,9,4,1,3,5,6,7,8]=>([(0,8),(1,3),(1,4),(1,8),(4,7),(5,2),(6,5),(7,6),(8,7)],9)
[2,6,4,1,3,7,8,9,5]=>([(0,7),(1,3),(1,4),(1,7),(3,8),(4,6),(4,8),(5,2),(7,6),(7,8),(8,5)],9)
[2,9,5,1,3,4,6,7,8]=>([(0,8),(1,3),(1,5),(1,8),(4,7),(5,7),(6,2),(7,6),(8,4)],9)
[2,6,9,1,3,4,5,7,8]=>([(0,7),(1,5),(1,7),(2,8),(5,4),(5,8),(6,2),(7,6),(8,3)],9)
[2,9,7,1,3,4,5,6,8]=>([(0,8),(1,2),(1,4),(1,8),(3,7),(4,7),(5,6),(6,3),(8,5)],9)
[2,9,8,1,3,4,5,6,7]=>([(0,8),(1,3),(1,4),(1,8),(5,6),(6,2),(7,5),(8,7)],9)
[2,6,7,1,3,4,8,9,5]=>([(0,7),(1,5),(1,7),(4,8),(5,4),(6,2),(6,8),(7,6),(8,3)],9)
[2,9,4,1,6,3,5,7,8]=>([(0,3),(0,4),(0,8),(1,7),(1,8),(4,6),(4,7),(5,2),(6,5),(7,5),(8,6)],9)
[2,8,4,1,9,3,5,6,7]=>([(0,7),(0,8),(1,3),(1,4),(1,7),(3,8),(4,6),(4,8),(5,2),(6,5),(7,6)],9)
[2,9,4,1,6,3,8,5,7]=>([(0,2),(0,3),(0,8),(1,7),(1,8),(3,6),(3,7),(6,5),(7,4),(7,5),(8,4),(8,6)],9)
[2,9,8,1,7,3,4,5,6]=>([(0,7),(0,8),(1,3),(1,4),(1,7),(1,8),(5,2),(6,5),(8,6)],9)
[2,9,5,1,6,7,8,3,4]=>([(0,7),(0,8),(1,4),(1,5),(1,8),(5,7),(6,3),(7,6),(8,2)],9)
[9,3,4,1,2,5,6,7,8]=>([(1,5),(2,4),(4,8),(5,8),(6,3),(7,6),(8,7)],9)
[6,3,4,1,2,7,8,9,5]=>([(0,8),(1,5),(2,4),(4,7),(4,8),(5,7),(5,8),(6,3),(8,6)],9)
[9,3,7,1,2,4,5,6,8]=>([(1,4),(2,5),(2,8),(3,7),(4,8),(5,7),(6,3),(8,6)],9)
[9,3,8,1,2,4,5,6,7]=>([(1,5),(2,4),(2,8),(5,8),(6,3),(7,6),(8,7)],9)
[9,5,4,1,2,3,6,7,8]=>([(1,8),(2,8),(3,4),(4,7),(5,6),(7,8),(8,5)],9)
[8,5,4,1,2,3,6,9,7]=>([(0,8),(1,8),(2,7),(3,4),(4,6),(6,8),(8,5),(8,7)],9)
[6,9,4,1,2,3,5,7,8]=>([(0,7),(1,5),(1,8),(2,6),(4,7),(6,4),(7,8),(8,3)],9)
[6,8,4,1,2,3,5,9,7]=>([(0,6),(1,4),(2,3),(2,7),(3,8),(4,5),(5,6),(6,7),(6,8)],9)
[9,7,4,1,2,3,5,6,8]=>([(1,8),(2,7),(3,4),(4,6),(5,8),(6,7),(7,5)],9)
[9,8,4,1,2,3,5,6,7]=>([(2,8),(3,4),(4,7),(5,6),(7,8),(8,5)],9)
[6,9,5,1,2,3,4,7,8]=>([(0,8),(1,7),(2,5),(2,8),(3,8),(6,3),(7,6),(8,4)],9)
[6,8,5,1,2,3,4,9,7]=>([(0,7),(0,8),(1,6),(2,4),(2,8),(3,7),(3,8),(4,7),(5,3),(6,5)],9)
[8,7,5,1,2,3,4,9,6]=>([(0,4),(1,8),(2,8),(3,7),(3,8),(4,6),(5,7),(5,8),(6,5)],9)
[6,7,9,1,2,3,4,5,8]=>([(0,7),(1,6),(3,8),(4,3),(5,4),(6,5),(7,2),(7,8)],9)
[6,9,8,1,2,3,4,5,7]=>([(0,7),(1,2),(1,3),(1,8),(4,8),(5,6),(6,4),(7,5)],9)
[9,7,8,1,2,3,4,5,6]=>([(1,8),(2,4),(5,7),(6,5),(7,3),(8,6)],9)
[6,7,8,1,2,3,4,9,5]=>([(0,6),(1,7),(3,8),(4,5),(5,2),(5,8),(6,4),(7,3)],9)
[6,5,4,1,2,8,3,9,7]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,4),(4,5),(4,8),(5,6),(5,7),(8,6)],9)
[9,8,5,1,7,2,3,4,6]=>([(2,7),(2,8),(3,4),(3,7),(4,6),(5,8),(6,5)],9)
[7,8,9,1,6,2,3,4,5]=>([(0,8),(1,4),(1,7),(5,6),(6,2),(7,5),(8,3)],9)
[7,8,5,1,6,2,3,9,4]=>([(0,7),(1,4),(2,6),(2,7),(4,8),(5,3),(5,8),(6,5),(7,8)],9)
[5,3,4,1,6,8,2,9,7]=>([(0,8),(1,3),(2,5),(2,8),(3,8),(4,7),(5,6),(5,7),(8,4),(8,6)],9)
[9,3,4,1,8,7,2,5,6]=>([(1,5),(2,3),(2,6),(2,7),(3,8),(5,6),(5,7),(5,8),(8,4)],9)
[8,3,4,1,6,7,2,9,5]=>([(0,8),(1,4),(2,3),(2,6),(3,7),(3,8),(4,6),(4,7),(5,8),(6,5)],9)
[9,5,4,1,8,7,2,3,6]=>([(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,4),(3,6),(3,7),(4,5),(5,8)],9)
[8,5,4,1,6,7,2,9,3]=>([(0,8),(1,7),(2,7),(3,4),(3,7),(4,6),(4,8),(5,8),(7,5)],9)
[5,3,4,1,9,7,8,2,6]=>([(0,6),(0,7),(0,8),(1,5),(2,4),(2,6),(2,7),(4,8),(5,6),(5,7),(5,8),(7,3)],9)
[9,3,5,1,6,7,8,2,4]=>([(1,5),(1,7),(2,4),(2,8),(4,7),(5,8),(6,3),(8,6)],9)
[9,5,4,1,6,7,8,2,3]=>([(1,8),(2,8),(3,4),(3,8),(4,6),(5,7),(8,5)],9)
[5,3,4,1,6,7,8,9,2]=>([(0,8),(1,5),(2,4),(2,8),(5,8),(6,3),(7,6),(8,7)],9)
[2,3,4,9,1,5,6,7,8]=>([(0,8),(1,5),(4,2),(5,6),(6,3),(6,8),(7,4),(8,7)],9)
[2,3,4,9,1,5,8,6,7]=>([(0,8),(1,5),(5,6),(6,2),(6,8),(7,3),(8,4),(8,7)],9)
[2,3,4,9,1,7,8,5,6]=>([(0,7),(0,8),(1,5),(5,6),(6,2),(6,7),(6,8),(7,4),(8,3)],9)
[2,3,4,6,1,7,8,9,5]=>([(0,7),(0,8),(1,5),(3,8),(4,2),(5,6),(6,3),(6,7),(8,4)],9)
[2,3,9,5,1,4,6,7,8]=>([(0,8),(1,6),(4,7),(5,3),(6,2),(6,4),(6,8),(7,5),(8,7)],9)
[2,3,9,6,1,4,5,7,8]=>([(0,8),(1,6),(3,7),(4,7),(6,2),(6,4),(6,8),(7,5),(8,3)],9)
[2,3,7,9,1,4,5,6,8]=>([(0,8),(1,5),(3,7),(4,3),(5,6),(5,8),(6,2),(6,7),(8,4)],9)
[2,3,9,8,1,4,5,6,7]=>([(0,8),(1,7),(5,4),(6,5),(7,2),(7,3),(7,8),(8,6)],9)
[2,3,9,5,1,7,4,6,8]=>([(0,3),(1,7),(1,8),(3,2),(3,4),(3,8),(4,6),(4,7),(6,5),(7,5),(8,6)],9)
[2,3,9,6,1,7,8,4,5]=>([(0,7),(0,8),(1,6),(3,7),(6,2),(6,3),(6,8),(7,4),(8,5)],9)
[2,9,4,5,1,3,6,7,8]=>([(0,8),(1,3),(1,5),(1,8),(4,7),(5,4),(6,2),(7,6),(8,7)],9)
[2,7,4,5,1,3,8,9,6]=>([(0,7),(1,2),(1,5),(1,7),(2,8),(4,6),(4,8),(5,4),(7,6),(7,8),(8,3)],9)
[2,9,8,6,1,3,4,5,7]=>([(0,8),(1,2),(1,3),(1,5),(1,8),(4,7),(5,7),(6,4),(8,6)],9)
[2,7,8,9,1,3,4,5,6]=>([(0,8),(1,6),(1,8),(4,2),(5,3),(6,4),(7,5),(8,7)],9)
[2,8,9,6,1,7,3,4,5]=>([(0,7),(0,8),(1,4),(1,5),(1,8),(4,7),(5,3),(6,2),(8,6)],9)
[2,9,6,5,1,7,8,3,4]=>([(0,7),(0,8),(1,2),(1,3),(1,4),(1,7),(3,8),(4,8),(7,6),(8,5)],9)
[7,3,4,5,1,2,8,9,6]=>([(0,8),(1,5),(2,6),(4,7),(4,8),(5,7),(5,8),(6,4),(8,3)],9)
[9,3,4,8,1,2,5,6,7]=>([(1,7),(2,5),(5,8),(6,4),(7,3),(7,8),(8,6)],9)
[7,3,4,8,1,2,5,9,6]=>([(0,7),(1,3),(2,5),(3,8),(5,7),(5,8),(7,6),(8,4),(8,6)],9)
[7,3,8,9,1,2,4,5,6]=>([(0,8),(1,7),(1,8),(2,5),(5,7),(6,4),(7,6),(8,3)],9)
[9,8,4,5,1,2,3,6,7]=>([(2,4),(3,5),(4,7),(5,8),(7,8),(8,6)],9)
[7,8,4,6,1,2,3,9,5]=>([(0,4),(1,6),(2,5),(2,7),(3,7),(3,8),(4,8),(5,8),(6,3)],9)
[9,8,6,5,1,2,3,4,7]=>([(2,5),(3,8),(4,8),(5,7),(6,8),(7,6)],9)
[7,8,9,6,1,2,3,4,5]=>([(1,8),(2,7),(5,6),(6,4),(7,5),(8,3)],9)
[7,8,6,5,1,2,3,9,4]=>([(0,8),(1,8),(2,4),(3,5),(4,7),(5,8),(7,6),(7,8)],9)
[8,3,9,6,1,7,2,4,5]=>([(0,6),(1,5),(1,6),(1,8),(2,3),(2,7),(3,8),(5,7),(8,4)],9)
[8,3,6,5,1,7,2,9,4]=>([(0,7),(1,5),(1,8),(2,3),(2,4),(2,6),(3,8),(4,8),(5,6),(5,7),(8,7)],9)
[8,6,4,5,1,7,2,9,3]=>([(0,8),(1,7),(2,5),(3,4),(3,7),(4,6),(4,8),(5,7),(7,8)],9)
[6,3,4,5,1,7,9,2,8]=>([(0,8),(1,6),(2,5),(2,8),(3,8),(5,7),(6,3),(8,4),(8,7)],9)
[6,3,4,5,1,9,8,2,7]=>([(0,6),(0,7),(0,8),(1,4),(2,3),(2,6),(2,7),(3,8),(4,5),(5,6),(5,7),(5,8)],9)
[9,3,4,6,1,7,8,2,5]=>([(1,5),(1,8),(2,6),(4,8),(5,7),(6,4),(6,7),(8,3)],9)
[6,3,4,5,1,7,8,9,2]=>([(0,8),(1,7),(2,5),(2,8),(4,8),(6,3),(7,4),(8,6)],9)
[2,3,4,5,9,1,6,7,8]=>([(0,8),(1,5),(4,6),(5,4),(6,2),(6,8),(7,3),(8,7)],9)
[2,3,4,5,8,1,6,9,7]=>([(0,8),(1,6),(3,7),(4,5),(5,3),(5,8),(6,4),(8,2),(8,7)],9)
[2,3,4,5,9,1,8,6,7]=>([(0,7),(0,8),(1,5),(4,6),(5,4),(6,2),(6,7),(6,8),(8,3)],9)
[2,3,4,5,7,1,8,9,6]=>([(0,7),(0,8),(1,5),(2,8),(4,6),(5,4),(6,2),(6,7),(8,3)],9)
[2,3,4,9,6,1,5,7,8]=>([(0,7),(1,5),(4,8),(5,6),(6,3),(6,4),(6,7),(7,8),(8,2)],9)
[2,3,4,9,7,1,5,6,8]=>([(0,8),(1,5),(3,7),(4,7),(5,6),(6,2),(6,4),(6,8),(8,3)],9)
[2,3,4,9,6,1,8,5,7]=>([(0,7),(0,8),(1,4),(3,6),(3,7),(4,5),(5,2),(5,3),(5,8),(8,6)],9)
[2,3,4,9,7,1,8,5,6]=>([(0,7),(0,8),(1,5),(4,7),(5,6),(6,3),(6,4),(6,8),(8,2)],9)
[2,3,9,5,6,1,4,7,8]=>([(0,7),(1,6),(4,8),(5,4),(6,3),(6,5),(6,7),(7,8),(8,2)],9)
[2,3,8,5,6,1,4,9,7]=>([(0,7),(1,5),(2,8),(3,6),(3,8),(4,3),(5,2),(5,4),(5,7),(7,6),(7,8)],9)
[2,3,9,5,6,1,8,4,7]=>([(0,7),(0,8),(1,5),(3,6),(3,7),(4,3),(5,2),(5,4),(5,8),(8,6)],9)
[2,8,4,5,6,1,3,9,7]=>([(0,7),(1,2),(1,5),(1,7),(2,8),(3,6),(3,8),(4,3),(5,4),(7,6),(7,8)],9)
[2,8,9,5,7,1,3,4,6]=>([(0,8),(1,5),(1,6),(1,8),(4,7),(5,3),(6,2),(6,7),(8,4)],9)
[2,8,9,7,6,1,3,4,5]=>([(0,8),(1,4),(1,5),(1,6),(1,8),(6,3),(7,2),(8,7)],9)
[2,9,7,5,6,1,8,3,4]=>([(0,7),(0,8),(1,2),(1,4),(1,6),(1,7),(3,8),(4,8),(6,3),(7,5)],9)
[8,3,4,5,6,1,2,9,7]=>([(0,8),(1,6),(2,4),(3,7),(3,8),(4,7),(4,8),(5,3),(6,5)],9)
[8,3,4,7,6,1,2,9,5]=>([(0,8),(1,5),(2,6),(3,8),(4,8),(5,7),(5,8),(6,3),(6,4),(6,7)],9)
[8,3,9,7,6,1,2,4,5]=>([(0,7),(1,6),(2,4),(2,5),(2,7),(2,8),(6,8),(8,3)],9)
[8,3,7,5,6,1,2,9,4]=>([(0,8),(1,5),(2,4),(2,6),(2,7),(3,8),(4,8),(5,7),(5,8),(6,3)],9)
[9,7,4,5,6,1,2,3,8]=>([(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9)
[8,9,4,5,6,1,2,3,7]=>([(0,5),(1,7),(2,6),(3,8),(4,8),(6,3),(7,4)],9)
[8,9,7,5,6,1,2,3,4]=>([(1,6),(2,5),(3,8),(7,4),(8,7)],9)
[8,7,4,5,6,1,2,9,3]=>([(0,8),(1,8),(2,4),(3,5),(4,7),(5,6),(5,8),(7,8)],9)
[7,3,4,5,6,1,9,2,8]=>([(0,7),(0,8),(1,6),(2,4),(2,8),(3,7),(3,8),(4,7),(5,3),(6,5)],9)
[9,3,4,5,6,1,8,2,7]=>([(1,6),(2,4),(2,8),(3,7),(3,8),(4,7),(5,3),(6,5)],9)
[9,3,7,5,6,1,8,2,4]=>([(1,5),(1,8),(2,4),(2,6),(2,7),(3,8),(4,8),(5,7),(6,3)],9)
[7,3,4,5,6,1,8,9,2]=>([(0,8),(1,7),(2,5),(2,8),(3,8),(6,3),(7,6),(8,4)],9)
[2,3,4,5,6,9,1,7,8]=>([(0,8),(1,6),(4,5),(5,7),(6,4),(7,2),(7,8),(8,3)],9)
[2,3,4,5,6,8,1,9,7]=>([(0,7),(0,8),(1,5),(2,8),(3,4),(4,6),(5,3),(6,2),(6,7)],9)
[2,3,4,5,9,7,1,6,8]=>([(0,8),(1,5),(3,7),(4,6),(5,4),(6,2),(6,3),(6,8),(8,7)],9)
[2,3,4,5,9,8,1,6,7]=>([(0,8),(1,6),(5,7),(6,5),(7,2),(7,3),(7,8),(8,4)],9)
[2,3,4,9,6,7,1,5,8]=>([(0,8),(1,5),(3,7),(4,3),(5,6),(6,2),(6,4),(6,8),(8,7)],9)
[2,3,9,5,6,7,1,4,8]=>([(0,8),(1,6),(3,7),(4,5),(5,3),(6,2),(6,4),(6,8),(8,7)],9)
[2,3,9,5,6,8,1,4,7]=>([(0,8),(1,6),(4,5),(5,2),(5,7),(6,3),(6,4),(6,8),(8,7)],9)
[2,9,4,5,6,7,1,3,8]=>([(0,8),(1,2),(1,6),(1,8),(3,7),(4,5),(5,3),(6,4),(8,7)],9)
[2,9,4,5,6,8,1,3,7]=>([(0,8),(1,3),(1,5),(1,8),(4,6),(5,4),(6,2),(6,7),(8,7)],9)
[2,9,4,5,8,7,1,3,6]=>([(0,8),(1,4),(1,5),(1,8),(5,6),(6,2),(6,3),(6,7),(8,7)],9)
[2,9,4,8,6,7,1,3,5]=>([(0,8),(1,4),(1,6),(1,8),(5,3),(6,2),(6,5),(6,7),(8,7)],9)
[2,9,8,5,6,7,1,3,4]=>([(0,8),(1,3),(1,4),(1,7),(1,8),(6,2),(7,6),(8,5)],9)
[2,8,4,5,6,7,1,9,3]=>([(0,7),(0,8),(1,3),(1,6),(1,7),(2,8),(3,8),(4,5),(5,2),(6,4)],9)
[9,3,4,5,6,7,1,2,8]=>([(1,7),(2,4),(3,8),(4,8),(5,6),(6,3),(7,5)],9)
[9,3,4,5,6,8,1,2,7]=>([(1,7),(2,4),(4,8),(5,6),(6,3),(6,8),(7,5)],9)
[9,8,4,5,6,7,1,2,3]=>([(2,7),(3,8),(6,5),(7,6),(8,4)],9)
[8,3,4,5,6,7,1,9,2]=>([(0,8),(1,7),(2,4),(2,8),(3,8),(5,6),(6,3),(7,5)],9)
[2,3,4,5,6,7,9,1,8]=>([(0,8),(1,6),(3,5),(4,3),(5,7),(6,4),(7,2),(7,8)],9)
[2,3,4,5,6,9,8,1,7]=>([(0,8),(1,6),(4,5),(5,7),(6,4),(7,2),(7,3),(7,8)],9)
[2,3,4,5,9,7,8,1,6]=>([(0,8),(1,6),(4,7),(5,2),(6,4),(7,3),(7,5),(7,8)],9)
[2,3,4,9,6,7,8,1,5]=>([(0,8),(1,6),(4,5),(5,2),(6,7),(7,3),(7,4),(7,8)],9)
[2,3,9,5,6,7,8,1,4]=>([(0,8),(1,7),(4,6),(5,4),(6,2),(7,3),(7,5),(7,8)],9)
[2,9,4,5,6,7,8,1,3]=>([(0,8),(1,3),(1,7),(1,8),(4,6),(5,4),(6,2),(7,5)],9)
[9,3,4,5,6,7,8,1,2]=>([(1,8),(2,4),(5,7),(6,5),(7,3),(8,6)],9)
[2,3,4,5,6,7,8,9,1]=>([(1,8),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6)],9)
[2,3,4,5,6,7,8,1,9]=>([(0,8),(1,7),(2,8),(3,4),(4,6),(5,3),(6,2),(7,5)],9)
[2,3,4,5,6,8,9,1,7]=>([(0,8),(1,6),(3,4),(4,7),(5,2),(6,3),(7,5),(7,8)],9)
[2,3,4,5,7,8,9,1,6]=>([(0,8),(1,6),(3,7),(4,5),(5,2),(6,3),(7,4),(7,8)],9)
[2,3,4,6,7,8,9,1,5]=>([(0,8),(1,6),(3,5),(4,3),(5,2),(6,7),(7,4),(7,8)],9)
[2,3,5,6,7,8,9,1,4]=>([(0,8),(1,7),(3,4),(4,6),(5,3),(6,2),(7,5),(7,8)],9)
[2,4,5,6,7,8,9,1,3]=>([(0,8),(1,7),(1,8),(3,4),(4,6),(5,3),(6,2),(7,5)],9)
[3,4,5,6,7,8,9,1,2]=>([(0,8),(1,3),(4,5),(5,7),(6,4),(7,2),(8,6)],9)
[2,3,4,5,6,7,1,8,9]=>([(0,8),(1,7),(2,8),(4,6),(5,4),(6,2),(7,5),(8,3)],9)
[2,3,4,5,6,1,9,7,8]=>([(0,7),(0,8),(1,6),(2,7),(2,8),(4,5),(5,2),(6,4),(8,3)],9)
[2,3,4,5,1,8,9,6,7]=>([(0,7),(0,8),(1,6),(2,7),(2,8),(5,2),(6,5),(7,4),(8,3)],9)
[2,3,4,1,7,8,9,5,6]=>([(0,7),(0,8),(1,5),(4,7),(4,8),(5,4),(6,2),(7,6),(8,3)],9)
[2,3,1,6,7,8,9,4,5]=>([(0,7),(0,8),(1,4),(4,7),(4,8),(5,3),(6,5),(7,6),(8,2)],9)
[2,1,5,6,7,8,9,3,4]=>([(0,7),(0,8),(1,7),(1,8),(4,6),(5,4),(6,2),(7,3),(8,5)],9)
[1,4,5,6,7,8,9,2,3]=>([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,1)],9)
[1,2,3,4,5,6,7,9,8]=>([(0,7),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(8,2)],9)
[2,1,3,4,5,6,7,8,9]=>([(0,8),(1,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,7)],9)
[1,8,2,3,4,5,6,9,7]=>([(0,2),(0,7),(2,8),(3,4),(4,6),(5,3),(6,1),(6,8),(7,5)],9)
[7,1,2,3,4,5,6,9,8]=>([(0,7),(0,8),(1,6),(2,7),(2,8),(3,5),(4,3),(5,2),(6,4)],9)
[2,1,9,3,4,5,6,7,8]=>([(0,7),(0,8),(1,7),(1,8),(3,4),(4,6),(5,3),(6,2),(8,5)],9)
[2,8,1,3,4,5,6,7,9]=>([(0,8),(1,3),(1,8),(2,7),(3,7),(4,6),(5,4),(6,2),(8,5)],9)
[1,2,3,4,5,6,7,8,9]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)
[1,2,3,4,5,6,8,9,7]=>([(0,7),(3,5),(4,3),(5,8),(6,1),(7,4),(8,2),(8,6)],9)
[1,2,3,4,5,7,8,9,6]=>([(0,7),(3,4),(4,8),(5,6),(6,1),(7,3),(8,2),(8,5)],9)
[1,2,3,4,6,7,8,9,5]=>([(0,7),(3,6),(4,8),(5,3),(6,1),(7,4),(8,2),(8,5)],9)
[1,2,3,5,6,7,8,9,4]=>([(0,7),(3,4),(4,6),(5,3),(6,1),(7,8),(8,2),(8,5)],9)
[1,2,4,5,6,7,8,9,3]=>([(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,2),(8,6)],9)
[1,3,4,5,6,7,8,9,2]=>([(0,2),(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],9)
[1,2,3,4,5,6,9,8,7]=>([(0,7),(4,6),(5,4),(6,8),(7,5),(8,1),(8,2),(8,3)],9)
[1,2,3,4,5,8,7,9,6]=>([(0,6),(2,8),(3,8),(4,5),(5,7),(6,4),(7,1),(7,2),(7,3)],9)
[1,2,3,4,7,6,8,9,5]=>([(0,6),(2,8),(3,8),(5,7),(6,5),(7,1),(7,2),(7,3),(8,4)],9)
[1,2,3,6,5,7,8,9,4]=>([(0,6),(3,8),(4,8),(5,2),(6,7),(7,1),(7,3),(7,4),(8,5)],9)
[1,2,5,4,6,7,8,9,3]=>([(0,7),(3,8),(4,8),(5,2),(6,5),(7,1),(7,3),(7,4),(8,6)],9)
[1,4,3,5,6,7,8,9,2]=>([(0,2),(0,3),(0,4),(3,8),(4,8),(5,6),(6,1),(7,5),(8,7)],9)
[3,2,4,5,6,7,8,9,1]=>([(1,8),(2,8),(4,6),(5,4),(6,3),(7,5),(8,7)],9)
[9,8,7,6,5,4,3,2,1]=>([],9)
[8,9,7,6,5,4,3,2,1]=>([(7,8)],9)
[8,7,9,6,5,4,3,2,1]=>([(6,8),(7,8)],9)
[8,7,6,9,5,4,3,2,1]=>([(5,8),(6,8),(7,8)],9)
[8,7,6,5,9,4,3,2,1]=>([(4,8),(5,8),(6,8),(7,8)],9)
[8,7,6,5,4,9,3,2,1]=>([(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[8,7,6,5,4,3,9,2,1]=>([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[8,7,6,5,4,3,2,9,1]=>([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[8,7,6,5,4,3,2,1,9]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[7,8,9,6,5,4,3,2,1]=>([(6,7),(7,8)],9)
[8,6,7,9,5,4,3,2,1]=>([(5,8),(6,7),(7,8)],9)
[8,7,5,6,9,4,3,2,1]=>([(4,8),(5,8),(6,7),(7,8)],9)
[8,7,6,4,5,9,3,2,1]=>([(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[8,7,6,5,3,4,9,2,1]=>([(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[8,7,6,5,4,2,3,9,1]=>([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[8,7,6,5,4,3,1,2,9]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[1,9,8,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9)
[8,7,6,4,5,3,2,1,9]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[1,9,8,7,5,6,4,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(8,1)],9)
[8,7,5,4,6,3,2,1,9]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[8,7,4,6,5,3,2,1,9]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(5,7),(6,8),(7,8)],9)
[1,9,8,6,5,7,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(6,8),(7,8)],9)
[1,9,8,5,7,6,4,3,2]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(8,1),(8,2)],9)
[9,2,1,3,4,5,6,7,8]=>([(1,8),(2,8),(4,6),(5,4),(6,3),(7,5),(8,7)],9)
[9,2,3,1,4,5,6,7,8]=>([(1,8),(2,4),(4,8),(5,6),(6,3),(7,5),(8,7)],9)
[4,2,3,5,6,7,8,9,1]=>([(1,8),(2,4),(4,8),(5,6),(6,3),(7,5),(8,7)],9)
[3,4,2,5,6,7,8,9,1]=>([(1,8),(2,4),(4,8),(5,6),(6,3),(7,5),(8,7)],9)
[1,2,3,4,5,6,9,7,8]=>([(0,7),(3,5),(4,3),(5,8),(6,1),(7,4),(8,2),(8,6)],9)
[1,2,3,4,5,8,6,9,7]=>([(0,6),(2,8),(3,4),(4,7),(5,1),(5,8),(6,3),(7,2),(7,5)],9)
[1,2,3,4,7,5,8,9,6]=>([(0,6),(2,8),(4,7),(5,1),(5,8),(6,4),(7,2),(7,5),(8,3)],9)
[1,2,3,6,4,7,8,9,5]=>([(0,6),(3,8),(4,2),(4,8),(5,1),(6,7),(7,3),(7,4),(8,5)],9)
[1,2,5,3,6,7,8,9,4]=>([(0,7),(3,8),(4,2),(5,1),(5,8),(6,4),(7,3),(7,5),(8,6)],9)
[1,4,2,5,6,7,8,9,3]=>([(0,3),(0,7),(3,8),(4,5),(5,1),(6,4),(7,2),(7,8),(8,6)],9)
[9,8,1,2,3,4,5,6,7]=>([(2,8),(4,5),(5,7),(6,4),(7,3),(8,6)],9)
[7,8,9,1,2,3,4,5,6]=>([(0,8),(1,7),(4,6),(5,4),(6,3),(7,5),(8,2)],9)
[9,8,7,1,2,3,4,5,6]=>([(3,8),(5,7),(6,5),(7,4),(8,6)],9)
[6,7,8,9,1,2,3,4,5]=>([(0,7),(1,8),(4,5),(5,2),(6,3),(7,6),(8,4)],9)
[9,6,7,8,1,2,3,4,5]=>([(1,8),(2,7),(5,6),(6,4),(7,5),(8,3)],9)
[8,9,6,7,1,2,3,4,5]=>([(0,5),(1,4),(2,8),(6,7),(7,3),(8,6)],9)
[9,8,6,7,1,2,3,4,5]=>([(2,8),(3,5),(6,7),(7,4),(8,6)],9)
[9,8,7,6,1,2,3,4,5]=>([(4,5),(5,8),(7,6),(8,7)],9)
[9,5,6,7,8,1,2,3,4]=>([(1,8),(2,7),(5,3),(6,4),(7,5),(8,6)],9)
[8,9,5,6,7,1,2,3,4]=>([(0,5),(1,7),(2,8),(6,3),(7,4),(8,6)],9)
[9,8,5,6,7,1,2,3,4]=>([(2,7),(3,8),(6,5),(7,6),(8,4)],9)
[9,7,8,5,6,1,2,3,4]=>([(1,6),(2,5),(3,8),(7,4),(8,7)],9)
[9,8,7,5,6,1,2,3,4]=>([(3,5),(4,6),(6,7),(7,8)],9)
[9,8,7,6,5,1,2,3,4]=>([(5,6),(6,8),(8,7)],9)
[7,8,9,4,5,6,1,2,3]=>([(0,8),(1,7),(2,6),(6,3),(7,4),(8,5)],9)
[9,7,8,4,5,6,1,2,3]=>([(1,6),(2,8),(3,7),(7,4),(8,5)],9)
[9,8,7,4,5,6,1,2,3]=>([(3,6),(4,5),(5,7),(6,8)],9)
[8,9,6,7,4,5,1,2,3]=>([(0,7),(1,6),(2,5),(3,8),(8,4)],9)
[9,8,6,7,4,5,1,2,3]=>([(2,6),(3,5),(4,7),(7,8)],9)
[9,8,7,6,4,5,1,2,3]=>([(4,6),(5,7),(7,8)],9)
[9,8,7,6,5,4,1,2,3]=>([(6,7),(7,8)],9)
[9,7,8,5,6,3,4,1,2]=>([(1,8),(2,7),(3,6),(4,5)],9)
[9,8,7,5,6,3,4,1,2]=>([(3,8),(4,7),(5,6)],9)
[9,8,7,6,5,3,4,1,2]=>([(5,8),(6,7)],9)
[9,8,7,6,5,4,3,1,2]=>([(7,8)],9)
[7,8,6,5,4,3,2,1,9]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[1,8,9,7,6,5,4,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(8,1)],9)
[7,6,8,5,4,3,2,1,9]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[6,8,7,5,4,3,2,1,9]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(5,7),(6,8),(7,8)],9)
[1,8,7,9,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(6,8),(7,8)],9)
[1,7,9,8,6,5,4,3,2]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(8,1),(8,2)],9)
[8,1,2,3,4,5,6,7,9]=>([(0,8),(1,7),(2,8),(3,4),(4,6),(5,3),(6,2),(7,5)],9)
[1,9,2,3,4,5,6,7,8]=>([(0,2),(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],9)
[7,8,1,2,3,4,5,6,9]=>([(0,7),(1,3),(2,8),(3,8),(4,6),(5,4),(6,2),(7,5)],9)
[1,8,9,2,3,4,5,6,7]=>([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,1)],9)
[7,1,8,2,3,4,5,6,9]=>([(0,8),(1,6),(1,8),(2,7),(3,5),(4,3),(5,2),(6,4),(8,7)],9)
[6,8,1,2,3,4,5,7,9]=>([(0,6),(1,3),(1,8),(2,8),(3,7),(4,5),(5,2),(6,4),(8,7)],9)
[1,8,2,9,3,4,5,6,7]=>([(0,2),(0,7),(2,8),(3,4),(4,6),(5,3),(6,1),(7,5),(7,8)],9)
[1,7,9,2,3,4,5,6,8]=>([(0,6),(0,7),(2,8),(3,4),(4,2),(5,3),(6,5),(7,1),(7,8)],9)
[2,1,4,3,6,5,8,7,9]=>([(0,7),(0,8),(1,7),(1,8),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4),(7,5),(7,6),(8,5),(8,6)],9)
[2,4,1,3,6,5,8,7,9]=>([(0,8),(1,2),(1,8),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7)],9)
[2,4,1,6,3,5,8,7,9]=>([(0,2),(0,6),(1,6),(1,8),(2,7),(2,8),(4,3),(5,3),(6,7),(7,4),(7,5),(8,4),(8,5)],9)
[2,4,1,6,3,8,5,7,9]=>([(0,2),(0,8),(1,7),(1,8),(2,6),(2,7),(4,3),(5,3),(6,4),(7,4),(7,5),(8,5),(8,6)],9)
[2,4,1,6,3,7,5,9,8]=>([(0,2),(0,8),(1,5),(1,8),(2,5),(2,7),(5,6),(6,3),(6,4),(7,3),(7,4),(8,6),(8,7)],9)
[2,4,1,5,3,7,6,9,8]=>([(0,2),(0,8),(1,7),(1,8),(2,7),(5,3),(5,4),(6,3),(6,4),(7,5),(7,6),(8,5),(8,6)],9)
[2,3,1,5,4,7,6,9,8]=>([(0,2),(1,7),(1,8),(2,7),(2,8),(5,3),(5,4),(6,3),(6,4),(7,5),(7,6),(8,5),(8,6)],9)
[1,3,2,5,4,7,6,9,8]=>([(0,1),(0,2),(1,7),(1,8),(2,7),(2,8),(5,3),(5,4),(6,3),(6,4),(7,5),(7,6),(8,5),(8,6)],9)
[2,4,6,1,3,5,8,7,9]=>([(0,7),(1,2),(1,7),(2,3),(2,8),(3,5),(3,6),(5,4),(6,4),(7,8),(8,5),(8,6)],9)
[2,4,1,6,8,3,5,7,9]=>([(0,3),(0,8),(1,7),(1,8),(2,4),(3,6),(3,7),(5,4),(6,5),(7,2),(7,5),(8,6)],9)
[2,4,1,6,3,8,9,5,7]=>([(0,3),(0,8),(1,7),(1,8),(3,6),(3,7),(5,2),(6,4),(7,4),(7,5),(8,5),(8,6)],9)
[2,4,1,6,3,7,5,8,9]=>([(0,3),(0,8),(1,7),(1,8),(3,6),(3,7),(4,2),(5,4),(6,4),(7,5),(8,5),(8,6)],9)
[2,4,1,5,3,8,6,9,7]=>([(0,3),(0,8),(1,7),(1,8),(3,7),(5,4),(6,2),(6,4),(7,5),(7,6),(8,5),(8,6)],9)
[2,3,1,6,4,7,5,9,8]=>([(0,3),(1,6),(1,7),(2,4),(2,5),(3,6),(3,7),(6,8),(7,2),(7,8),(8,4),(8,5)],9)
[1,4,2,5,3,7,6,9,8]=>([(0,1),(0,2),(1,8),(2,3),(2,8),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7)],9)
[7,1,2,3,4,5,6,8,9]=>([(0,8),(1,7),(2,8),(4,6),(5,4),(6,2),(7,5),(8,3)],9)
[3,4,1,2,5,6,7,8,9]=>([(0,4),(1,3),(3,8),(4,8),(5,6),(6,2),(7,5),(8,7)],9)
[3,2,1,4,5,6,7,8,9]=>([(0,8),(1,8),(2,8),(4,6),(5,4),(6,3),(7,5),(8,7)],9)
[4,5,6,1,2,3,7,8,9]=>([(0,7),(1,6),(3,8),(4,8),(5,2),(6,3),(7,4),(8,5)],9)
[4,2,5,1,3,6,7,8,9]=>([(0,7),(1,6),(2,6),(2,7),(3,5),(5,4),(6,8),(7,8),(8,3)],9)
[4,3,2,1,5,6,7,8,9]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(6,5),(7,6),(8,4)],9)
[5,6,7,8,1,2,3,4,9]=>([(0,7),(1,6),(2,8),(3,8),(4,2),(5,3),(6,4),(7,5)],9)
[5,2,6,7,1,3,4,8,9]=>([(0,7),(1,6),(2,6),(2,7),(4,8),(5,8),(6,4),(7,5),(8,3)],9)
[5,6,3,4,1,2,7,8,9]=>([(0,6),(1,5),(2,4),(4,8),(5,8),(6,8),(7,3),(8,7)],9)
[5,3,2,6,1,4,7,8,9]=>([(0,8),(1,7),(2,7),(2,8),(3,7),(3,8),(4,5),(6,4),(7,6),(8,6)],9)
[5,4,3,2,1,6,7,8,9]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(7,6),(8,5)],9)
[6,2,7,8,9,1,3,4,5]=>([(0,8),(1,7),(2,7),(2,8),(5,3),(6,4),(7,5),(8,6)],9)
[6,7,3,4,8,1,2,5,9]=>([(0,4),(1,3),(2,5),(3,7),(4,8),(5,7),(5,8),(7,6),(8,6)],9)
[6,3,2,7,8,1,4,5,9]=>([(0,8),(1,7),(2,7),(2,8),(3,7),(3,8),(4,6),(5,6),(7,4),(8,5)],9)
[6,4,7,2,5,1,3,8,9]=>([(0,6),(1,5),(2,5),(2,7),(3,6),(3,7),(5,8),(6,8),(7,8),(8,4)],9)
[6,4,3,2,7,1,5,8,9]=>([(0,8),(1,7),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(6,5),(7,6),(8,6)],9)
[6,5,4,3,2,1,7,8,9]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(8,6)],9)
[7,4,8,2,5,9,1,3,6]=>([(0,7),(1,6),(2,6),(2,8),(3,7),(3,8),(6,4),(7,5),(8,4),(8,5)],9)
[7,4,3,2,8,9,1,5,6]=>([(0,8),(1,7),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(7,5),(8,6)],9)
[7,8,5,6,3,4,1,2,9]=>([(0,7),(1,6),(2,5),(3,4),(4,8),(5,8),(6,8),(7,8)],9)
[7,5,3,8,2,6,1,4,9]=>([(0,6),(1,5),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,8),(6,8),(7,8)],9)
[7,5,4,3,2,8,1,6,9]=>([(0,8),(1,7),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(7,6),(8,6)],9)
[7,6,5,4,3,2,1,8,9]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(8,7)],9)
[8,6,9,4,7,2,5,1,3]=>([(0,8),(1,7),(2,5),(2,6),(3,5),(3,7),(4,6),(4,8)],9)
[8,6,4,3,9,2,7,1,5]=>([(0,7),(1,6),(2,6),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[8,6,5,4,3,2,9,1,7]=>([(0,8),(1,7),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[2,3,1,4,5,6,7,8,9]=>([(0,8),(1,3),(3,8),(4,6),(5,4),(6,2),(7,5),(8,7)],9)
[2,3,4,1,5,6,7,8,9]=>([(0,8),(1,6),(3,8),(4,5),(5,2),(6,3),(7,4),(8,7)],9)
[2,3,4,5,1,6,7,8,9]=>([(0,8),(1,6),(3,8),(4,3),(5,2),(6,4),(7,5),(8,7)],9)
[2,3,4,5,6,1,7,8,9]=>([(0,8),(1,6),(3,8),(4,5),(5,3),(6,4),(7,2),(8,7)],9)
[2,4,3,1,5,6,7,8,9]=>([(0,8),(1,3),(1,4),(3,8),(4,8),(5,6),(6,2),(7,5),(8,7)],9)
[2,3,5,4,1,6,7,8,9]=>([(0,8),(1,7),(3,8),(4,8),(5,2),(6,5),(7,3),(7,4),(8,6)],9)
[2,3,4,6,5,1,7,8,9]=>([(0,8),(1,5),(3,8),(4,8),(5,7),(6,2),(7,3),(7,4),(8,6)],9)
[2,3,4,5,7,6,1,8,9]=>([(0,8),(1,6),(2,8),(3,8),(5,7),(6,5),(7,2),(7,3),(8,4)],9)
[2,3,4,5,6,8,7,1,9]=>([(0,8),(1,6),(2,8),(3,8),(4,5),(5,7),(6,4),(7,2),(7,3)],9)
[2,3,4,5,6,7,9,8,1]=>([(1,7),(4,6),(5,4),(6,8),(7,5),(8,2),(8,3)],9)
[3,4,1,5,6,7,8,9,2]=>([(0,4),(1,3),(1,8),(4,8),(5,6),(6,2),(7,5),(8,7)],9)
[3,4,5,1,6,7,8,9,2]=>([(0,7),(1,4),(1,8),(3,8),(5,2),(6,5),(7,3),(8,6)],9)
[3,4,5,6,1,7,8,9,2]=>([(0,7),(1,4),(1,8),(3,8),(5,3),(6,2),(7,5),(8,6)],9)
[3,4,5,6,7,1,8,9,2]=>([(0,7),(1,4),(1,8),(2,8),(5,6),(6,2),(7,5),(8,3)],9)
[3,4,5,6,7,8,1,9,2]=>([(0,7),(1,3),(1,8),(2,8),(4,6),(5,4),(6,2),(7,5)],9)
[3,1,2,5,6,7,8,9,4]=>([(0,7),(0,8),(1,3),(3,7),(3,8),(4,6),(5,4),(6,2),(8,5)],9)
[3,4,1,2,6,7,8,9,5]=>([(0,4),(1,3),(3,7),(3,8),(4,7),(4,8),(5,2),(6,5),(8,6)],9)
[3,4,5,1,2,7,8,9,6]=>([(0,6),(1,4),(3,7),(3,8),(4,7),(4,8),(5,2),(6,3),(8,5)],9)
[3,4,5,6,1,2,8,9,7]=>([(0,6),(1,4),(3,7),(3,8),(4,7),(4,8),(5,3),(6,5),(8,2)],9)
[3,4,5,6,7,1,2,9,8]=>([(0,6),(1,3),(2,7),(2,8),(3,7),(3,8),(4,5),(5,2),(6,4)],9)
[3,4,5,6,7,8,1,2,9]=>([(0,7),(1,3),(2,8),(3,8),(4,6),(5,4),(6,2),(7,5)],9)
[8,7,6,5,4,3,1,9,2]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(6,8)],9)
[7,9,6,5,4,3,2,1,8]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(6,8)],9)
[1,7,6,5,4,3,9,8,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[1,9,6,5,4,3,2,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[8,1,6,5,4,3,9,7,2]=>([(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[3,7,6,5,4,9,1,8,2]=>([(0,6),(0,8),(1,2),(1,3),(1,4),(1,5),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8)],9)
[7,9,1,5,4,3,2,8,6]=>([(0,6),(0,8),(1,2),(1,3),(1,4),(1,5),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8)],9)
[2,9,6,5,4,3,8,1,7]=>([(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[8,7,1,5,4,3,9,6,2]=>([(0,8),(1,8),(2,3),(2,4),(2,5),(2,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[1,3,6,5,4,9,8,7,2]=>([(0,4),(0,5),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(5,1),(5,2),(5,3)],9)
[4,7,6,5,9,3,1,8,2]=>([(0,8),(1,3),(1,8),(2,4),(2,5),(2,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[7,9,6,1,4,3,2,8,5]=>([(0,8),(1,3),(1,8),(2,4),(2,5),(2,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[1,9,2,5,4,3,8,7,6]=>([(0,4),(0,5),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(5,1),(5,2),(5,3)],9)
[3,9,6,5,4,8,2,1,7]=>([(0,8),(1,8),(2,3),(2,4),(2,5),(2,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[7,9,6,5,4,3,2,8,1]=>([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(6,8)],9)
[8,9,6,5,4,3,2,1,7]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7)],9)
[8,7,6,5,4,3,9,1,2]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7)],9)
[9,7,6,5,4,3,1,8,2]=>([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(6,8)],9)
[7,9,8,6,5,4,3,2,1]=>([(6,7),(6,8)],9)
[6,9,8,7,5,4,3,2,1]=>([(5,6),(5,7),(5,8)],9)
[5,9,8,7,6,4,3,2,1]=>([(4,5),(4,6),(4,7),(4,8)],9)
[4,9,8,7,6,5,3,2,1]=>([(3,4),(3,5),(3,6),(3,7),(3,8)],9)
[3,9,8,7,6,5,4,2,1]=>([(2,3),(2,4),(2,5),(2,6),(2,7),(2,8)],9)
[2,9,8,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8)],9)
[6,9,7,8,5,4,3,2,1]=>([(5,6),(5,7),(7,8)],9)
[5,9,8,6,7,4,3,2,1]=>([(4,5),(4,6),(4,7),(7,8)],9)
[4,9,8,7,5,6,3,2,1]=>([(3,5),(3,6),(3,7),(3,8),(8,4)],9)
[3,9,8,7,6,4,5,2,1]=>([(2,4),(2,5),(2,6),(2,7),(2,8),(8,3)],9)
[2,9,8,7,6,5,3,4,1]=>([(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(8,2)],9)
[1,9,8,7,6,5,4,2,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(8,1)],9)
[1,2,3,4,5,9,6,7,8]=>([(0,7),(3,4),(4,8),(5,6),(6,1),(7,3),(8,2),(8,5)],9)
[1,2,3,4,9,5,6,7,8]=>([(0,7),(3,6),(4,8),(5,3),(6,1),(7,4),(8,2),(8,5)],9)
[1,2,3,9,4,5,6,7,8]=>([(0,7),(3,4),(4,6),(5,3),(6,1),(7,8),(8,2),(8,5)],9)
[1,2,9,3,4,5,6,7,8]=>([(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,2),(8,6)],9)
[1,2,3,4,5,9,7,6,8]=>([(0,6),(2,8),(3,8),(4,5),(5,7),(6,4),(7,1),(7,2),(7,3)],9)
[1,2,3,4,9,6,5,7,8]=>([(0,6),(2,8),(3,8),(5,7),(6,5),(7,1),(7,2),(7,3),(8,4)],9)
[1,2,3,9,5,4,6,7,8]=>([(0,6),(3,8),(4,8),(5,2),(6,7),(7,1),(7,3),(7,4),(8,5)],9)
[1,2,9,4,3,5,6,7,8]=>([(0,7),(3,8),(4,8),(5,2),(6,5),(7,1),(7,3),(7,4),(8,6)],9)
[1,9,3,2,4,5,6,7,8]=>([(0,2),(0,3),(0,4),(3,8),(4,8),(5,6),(6,1),(7,5),(8,7)],9)
[7,6,9,8,5,4,3,2,1]=>([(5,7),(5,8),(6,7),(6,8)],9)
[6,5,4,9,8,7,3,2,1]=>([(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[6,8,5,9,7,4,3,2,1]=>([(4,7),(4,8),(5,6),(5,7),(6,8)],9)
[6,7,8,9,5,4,3,2,1]=>([(5,6),(6,8),(8,7)],9)
[5,4,3,2,9,8,7,6,1]=>([(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8)],9)
[5,8,4,3,9,7,6,2,1]=>([(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(5,8)],9)
[5,4,7,6,9,8,3,2,1]=>([(3,5),(3,6),(4,5),(4,6),(5,7),(5,8),(6,7),(6,8)],9)
[5,7,8,4,9,6,3,2,1]=>([(3,7),(3,8),(4,5),(4,7),(5,6),(6,8)],9)
[5,6,7,8,9,4,3,2,1]=>([(4,5),(5,8),(7,6),(8,7)],9)
[4,8,3,2,1,9,7,6,5]=>([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(4,8)],9)
[4,3,7,6,2,9,8,5,1]=>([(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(4,8),(5,7),(5,8)],9)
[4,7,8,3,2,9,6,5,1]=>([(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,4),(3,6),(3,7),(4,5),(5,8)],9)
[4,6,3,8,5,9,7,2,1]=>([(2,5),(2,7),(3,4),(3,5),(4,7),(4,8),(5,6),(5,8),(7,6)],9)
[4,6,7,8,3,9,5,2,1]=>([(2,7),(2,8),(3,4),(3,7),(4,6),(5,8),(6,5)],9)
[4,5,6,7,8,9,3,2,1]=>([(3,8),(5,7),(6,5),(7,4),(8,6)],9)
[3,2,1,6,5,4,9,8,7]=>([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(6,3),(6,4),(6,5),(7,3),(7,4),(7,5),(8,3),(8,4),(8,5)],9)
[3,6,2,8,5,1,9,7,4]=>([(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,8),(4,7),(4,8),(5,7)],9)
[3,6,7,8,2,1,9,5,4]=>([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,3),(2,6),(2,7),(3,5),(4,8),(5,4)],9)
[3,2,5,4,7,6,9,8,1]=>([(1,7),(1,8),(2,7),(2,8),(5,3),(5,4),(6,3),(6,4),(7,5),(7,6),(8,5),(8,6)],9)
[3,5,7,2,8,4,9,6,1]=>([(1,3),(1,8),(2,7),(2,8),(3,4),(3,6),(4,7),(7,5),(8,5),(8,6)],9)
[3,5,6,7,8,2,9,4,1]=>([(1,7),(1,8),(2,6),(2,8),(3,7),(4,5),(5,3),(6,4)],9)
[3,4,5,6,7,8,9,2,1]=>([(2,8),(4,5),(5,7),(6,4),(7,3),(8,6)],9)
[2,4,6,7,1,8,3,9,5]=>([(0,4),(0,8),(1,7),(1,8),(2,3),(3,7),(4,2),(4,5),(7,6),(8,5),(8,6)],9)
[2,4,5,6,7,8,1,9,3]=>([(0,7),(0,8),(1,6),(1,8),(2,7),(3,5),(4,3),(5,2),(6,4)],9)
[3,1,2,4,5,6,7,8,9]=>([(0,8),(1,3),(3,8),(4,6),(5,4),(6,2),(7,5),(8,7)],9)
[2,4,1,3,5,6,7,8,9]=>([(0,7),(1,3),(1,7),(3,8),(4,6),(5,4),(6,2),(7,8),(8,5)],9)
[2,3,5,1,4,6,7,8,9]=>([(0,7),(1,6),(3,8),(4,5),(5,2),(6,3),(6,7),(7,8),(8,4)],9)
[2,3,4,6,1,5,7,8,9]=>([(0,7),(1,5),(3,8),(4,2),(5,6),(6,3),(6,7),(7,8),(8,4)],9)
[2,3,4,5,7,1,6,8,9]=>([(0,8),(1,6),(2,7),(4,5),(5,2),(5,8),(6,4),(7,3),(8,7)],9)
[2,3,4,5,6,8,1,7,9]=>([(0,8),(1,6),(2,7),(3,5),(4,3),(5,2),(5,8),(6,4),(8,7)],9)
[7,6,5,4,3,2,9,1,8]=>([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[6,5,4,3,9,2,8,1,7]=>([(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[6,5,4,3,2,8,1,7,9]=>([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(7,6),(8,6)],9)
[5,4,9,3,8,2,7,1,6]=>([(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8)],9)
[5,4,3,8,2,7,1,6,9]=>([(0,8),(1,7),(1,8),(2,5),(2,7),(2,8),(3,5),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(7,6),(8,6)],9)
[5,4,3,2,7,9,1,6,8]=>([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(7,5),(7,6),(8,6)],9)
[5,4,3,2,7,1,6,8,9]=>([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(6,5),(7,6),(8,6)],9)
[4,8,3,7,2,6,1,5,9]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,8),(5,8),(6,8),(7,8)],9)
[4,3,7,2,6,9,1,5,8]=>([(0,8),(1,6),(1,8),(2,4),(2,6),(2,8),(3,4),(3,6),(3,8),(4,5),(4,7),(6,5),(6,7),(8,7)],9)
[4,3,7,2,6,1,5,8,9]=>([(0,8),(1,6),(1,8),(2,5),(2,6),(2,8),(3,5),(3,6),(3,8),(5,7),(6,7),(7,4),(8,7)],9)
[4,3,2,6,8,1,5,7,9]=>([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(5,6),(7,4),(7,5),(8,5)],9)
[4,3,2,6,1,5,7,8,9]=>([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,5),(6,4),(7,6),(8,6)],9)
[3,6,9,2,5,8,1,4,7]=>([(0,7),(1,5),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,8),(5,6),(5,8),(7,8)],9)
[3,6,2,5,8,1,4,7,9]=>([(0,7),(1,4),(1,7),(2,3),(2,4),(2,7),(3,6),(3,8),(4,6),(4,8),(6,5),(7,8),(8,5)],9)
[3,6,2,5,1,4,7,8,9]=>([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,8),(4,5),(6,8),(7,8),(8,4)],9)
[3,2,5,7,9,1,4,6,8]=>([(0,8),(1,6),(1,8),(2,6),(2,8),(3,4),(3,7),(5,7),(6,3),(6,5),(8,5)],9)
[3,2,5,7,1,4,6,8,9]=>([(0,8),(1,6),(1,8),(2,6),(2,8),(3,7),(5,7),(6,3),(6,5),(7,4),(8,5)],9)
[3,2,5,1,4,6,7,8,9]=>([(0,8),(1,6),(1,8),(2,6),(2,8),(3,5),(5,4),(6,7),(7,3),(8,7)],9)
[2,4,6,8,1,3,5,7,9]=>([(0,8),(1,4),(1,8),(2,3),(2,7),(3,5),(4,2),(4,6),(6,7),(7,5),(8,6)],9)
[2,4,6,1,3,5,7,8,9]=>([(0,8),(1,4),(1,8),(3,7),(4,3),(4,6),(5,2),(6,7),(7,5),(8,6)],9)
[8,7,6,5,4,2,1,9,3]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[8,7,6,5,3,2,1,9,4]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[8,7,6,4,3,2,1,9,5]=>([(0,8),(1,8),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[8,7,5,4,3,2,1,9,6]=>([(0,8),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[8,6,5,4,3,2,1,9,7]=>([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[7,6,5,4,3,2,1,9,8]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[8,7,6,5,4,9,1,3,2]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(5,7)],9)
[8,7,6,5,9,2,1,4,3]=>([(0,8),(1,8),(2,8),(3,8),(4,6),(4,7),(5,6),(5,7)],9)
[8,7,6,9,3,2,1,5,4]=>([(0,6),(1,6),(2,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8)],9)
[8,7,9,4,3,2,1,6,5]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(5,6)],9)
[8,9,5,4,3,2,1,7,6]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,6)],9)
[9,6,5,4,3,2,1,8,7]=>([(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[2,9,8,7,6,5,4,1,3]=>([(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8)],9)
[2,4,5,6,7,8,1,3,9]=>([(0,8),(1,6),(1,8),(2,7),(3,5),(4,3),(5,2),(6,4),(8,7)],9)
[1,4,5,6,7,8,2,9,3]=>([(0,6),(0,7),(2,8),(3,4),(4,2),(5,3),(6,5),(7,1),(7,8)],9)
[9,7,8,5,6,3,1,4,2]=>([(1,8),(2,6),(3,5),(4,7),(4,8)],9)
[9,7,8,5,3,6,1,4,2]=>([(1,8),(2,7),(2,8),(3,6),(4,5),(4,7)],9)
[9,7,5,8,3,6,1,4,2]=>([(1,7),(2,6),(2,7),(3,6),(3,8),(4,5),(4,8)],9)
[7,9,5,8,3,6,1,4,2]=>([(0,6),(0,8),(1,6),(1,7),(2,4),(2,7),(3,5),(3,8)],9)
[8,9,5,7,3,6,1,4,2]=>([(0,7),(0,8),(1,6),(2,5),(2,8),(3,4),(3,7)],9)
[8,9,6,7,3,5,1,4,2]=>([(0,5),(1,4),(2,7),(2,8),(3,6),(3,8)],9)
[8,9,6,7,4,5,1,3,2]=>([(0,8),(1,7),(2,6),(3,4),(3,5)],9)
[8,9,6,7,4,5,2,3,1]=>([(1,8),(2,7),(3,6),(4,5)],9)
[9,7,8,5,3,1,6,4,2]=>([(1,8),(2,7),(2,8),(3,6),(4,5),(4,7),(4,8)],9)
[9,7,5,3,8,6,1,4,2]=>([(1,8),(2,6),(2,8),(3,6),(3,7),(3,8),(4,5),(4,7)],9)
[7,5,9,8,3,6,1,4,2]=>([(0,5),(0,6),(1,7),(1,8),(2,5),(2,6),(2,7),(3,4),(3,8)],9)
[9,8,5,7,3,6,1,4,2]=>([(2,7),(2,8),(3,6),(3,8),(4,5),(4,7)],9)
[7,9,6,8,3,5,1,4,2]=>([(0,8),(1,5),(1,7),(2,4),(2,7),(3,6),(3,8)],9)
[8,9,5,7,4,6,1,3,2]=>([(0,8),(1,4),(2,5),(2,8),(3,6),(3,7)],9)
[8,9,6,7,3,5,2,4,1]=>([(1,8),(2,6),(3,5),(4,7),(4,8)],9)
[6,5,4,3,2,1,9,8,7]=>([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[6,5,4,3,2,1,8,7,9]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(7,6),(8,6)],9)
[5,4,3,2,1,9,8,7,6]=>([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8)],9)
[5,4,3,2,1,8,7,6,9]=>([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(6,5),(7,5),(8,5)],9)
[5,4,3,2,1,7,6,9,8]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(7,5),(7,6),(8,5),(8,6)],9)
[5,4,3,2,1,7,6,8,9]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(6,5),(7,6),(8,6)],9)
[4,3,2,1,8,7,6,5,9]=>([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(5,4),(6,4),(7,4),(8,4)],9)
[4,3,2,1,7,6,5,9,8]=>([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(6,4),(6,5),(7,4),(7,5),(8,4),(8,5)],9)
[4,3,2,1,7,6,5,8,9]=>([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(5,4),(6,5),(7,5),(8,5)],9)
[4,3,2,1,6,5,8,7,9]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(5,6),(7,4),(7,5),(8,4),(8,5)],9)
[4,3,2,1,6,5,7,8,9]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,5),(6,4),(7,6),(8,6)],9)
[3,2,1,6,5,4,8,7,9]=>([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,4),(8,5)],9)
[3,2,1,6,5,4,7,8,9]=>([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,4),(5,3),(6,5),(7,5),(8,5)],9)
[3,2,1,5,4,7,6,9,8]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(5,3),(5,4),(6,3),(6,4),(7,5),(7,6),(8,5),(8,6)],9)
[3,2,1,5,4,7,6,8,9]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(4,6),(5,6),(6,3),(7,4),(7,5),(8,4),(8,5)],9)
[3,2,1,5,4,6,7,8,9]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,5),(5,4),(6,3),(7,6),(8,6)],9)
[2,1,4,3,6,5,7,8,9]=>([(0,7),(0,8),(1,7),(1,8),(2,3),(4,2),(5,4),(6,4),(7,5),(7,6),(8,5),(8,6)],9)
[2,1,4,3,5,6,7,8,9]=>([(0,6),(0,7),(1,6),(1,7),(3,5),(4,3),(5,2),(6,8),(7,8),(8,4)],9)
[3,1,4,2,6,5,8,7,9]=>([(0,8),(1,2),(1,8),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7)],9)
[3,1,5,2,6,4,8,7,9]=>([(0,2),(0,6),(1,6),(1,8),(2,7),(2,8),(4,3),(5,3),(6,7),(7,4),(7,5),(8,4),(8,5)],9)
[3,1,5,2,4,7,6,9,8]=>([(0,2),(0,8),(1,7),(1,8),(2,7),(5,3),(5,4),(6,3),(6,4),(7,5),(7,6),(8,5),(8,6)],9)
[3,1,2,5,4,7,6,9,8]=>([(0,2),(1,7),(1,8),(2,7),(2,8),(5,3),(5,4),(6,3),(6,4),(7,5),(7,6),(8,5),(8,6)],9)
[4,1,5,2,6,3,8,7,9]=>([(0,7),(1,2),(1,7),(2,3),(2,8),(3,5),(3,6),(5,4),(6,4),(7,8),(8,5),(8,6)],9)
[3,1,6,2,7,4,8,5,9]=>([(0,3),(0,8),(1,7),(1,8),(2,4),(3,6),(3,7),(5,4),(6,5),(7,2),(7,5),(8,6)],9)
[1,3,5,2,4,7,6,9,8]=>([(0,1),(0,2),(1,8),(2,3),(2,8),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7)],9)
[4,5,6,7,8,9,1,2,3]=>([(0,8),(1,7),(4,6),(5,4),(6,3),(7,5),(8,2)],9)
[4,5,6,7,8,9,2,3,1]=>([(1,8),(2,4),(5,7),(6,5),(7,3),(8,6)],9)
[5,6,7,8,9,1,2,3,4]=>([(0,7),(1,8),(4,5),(5,2),(6,3),(7,6),(8,4)],9)
[6,7,8,9,2,3,4,5,1]=>([(1,8),(2,7),(5,3),(6,4),(7,5),(8,6)],9)
[8,9,6,7,5,4,3,2,1]=>([(5,8),(6,7)],9)
[9,8,7,6,5,4,2,1,3]=>([(6,8),(7,8)],9)
[9,8,7,6,5,3,2,1,4]=>([(5,8),(6,8),(7,8)],9)
[9,8,7,6,4,3,2,1,5]=>([(4,8),(5,8),(6,8),(7,8)],9)
[9,8,7,5,4,3,2,1,6]=>([(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[9,8,6,5,4,3,2,1,7]=>([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[9,7,6,5,4,3,2,1,8]=>([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[9,8,7,6,5,4,1,3,2]=>([(6,7),(6,8)],9)
[9,8,7,6,5,2,4,1,3]=>([(5,8),(6,7),(6,8)],9)
[9,8,7,6,3,5,2,1,4]=>([(4,8),(5,8),(6,7),(6,8)],9)
[9,8,7,4,6,3,2,1,5]=>([(3,8),(4,8),(5,8),(6,7),(6,8)],9)
[9,8,5,7,4,3,2,1,6]=>([(2,8),(3,8),(4,8),(5,8),(6,7),(6,8)],9)
[9,6,8,5,4,3,2,1,7]=>([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(6,8)],9)
[9,8,7,3,6,2,5,1,4]=>([(3,8),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[9,8,7,6,3,5,1,2,4]=>([(4,7),(5,6),(5,8),(7,8)],9)
[9,4,8,3,7,2,6,1,5]=>([(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8)],9)
[9,8,4,7,3,6,1,2,5]=>([(2,7),(2,8),(3,6),(4,5),(4,7),(4,8),(6,8)],9)
[9,8,7,2,4,6,1,3,5]=>([(3,7),(4,5),(4,7),(5,6),(5,8),(7,8)],9)
[9,8,7,4,6,1,2,3,5]=>([(3,6),(4,5),(4,8),(6,7),(7,8)],9)
[5,9,4,8,3,7,1,2,6]=>([(0,7),(0,8),(1,6),(1,7),(1,8),(2,5),(3,4),(3,6),(3,7),(3,8),(5,8)],9)
[9,5,8,2,4,7,1,3,6]=>([(1,6),(2,4),(2,7),(2,8),(3,5),(3,6),(5,7),(5,8),(6,8)],9)
[9,5,8,4,7,1,2,3,6]=>([(1,7),(1,8),(2,5),(3,4),(3,7),(3,8),(5,6),(6,8)],9)
[9,8,3,5,7,1,2,4,6]=>([(2,5),(3,4),(3,7),(4,6),(4,8),(5,7),(7,8)],9)
[9,8,5,7,1,2,3,4,6]=>([(2,5),(3,4),(3,8),(5,6),(6,7),(7,8)],9)
[6,9,3,5,8,1,2,4,7]=>([(0,4),(1,5),(1,7),(2,3),(2,6),(2,8),(4,7),(5,6),(5,8),(7,8)],9)
[6,9,5,8,1,2,3,4,7]=>([(0,7),(0,8),(1,6),(2,4),(2,7),(2,8),(3,8),(5,3),(6,5)],9)
[9,2,4,6,8,1,3,5,7]=>([(1,6),(2,3),(2,6),(3,5),(3,7),(5,4),(5,8),(6,7),(7,8)],9)
[9,4,6,8,1,2,3,5,7]=>([(1,6),(1,8),(2,5),(4,8),(5,4),(6,3),(6,7),(8,7)],9)
[9,6,8,1,2,3,4,5,7]=>([(1,7),(2,4),(2,8),(3,8),(5,6),(6,3),(7,5)],9)
[3,5,7,9,1,2,4,6,8]=>([(0,5),(0,8),(1,3),(3,8),(4,2),(4,7),(5,4),(5,6),(6,7),(8,6)],9)
[5,7,9,1,2,3,4,6,8]=>([(0,5),(1,6),(1,8),(3,8),(4,3),(5,4),(6,2),(6,7),(8,7)],9)
[7,9,1,2,3,4,5,6,8]=>([(0,7),(1,3),(1,8),(2,8),(4,6),(5,4),(6,2),(7,5)],9)
[7,6,5,4,3,2,9,8,1]=>([(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[9,6,5,4,3,2,8,1,7]=>([(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[9,7,5,4,3,2,1,8,6]=>([(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[7,6,5,4,3,9,2,8,1]=>([(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[8,6,5,4,3,2,9,7,1]=>([(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[9,1,2,3,5,4,6,7,8]=>([(1,5),(3,8),(4,8),(5,7),(6,2),(7,3),(7,4),(8,6)],9)
[2,3,4,6,5,7,8,9,1]=>([(1,5),(3,8),(4,8),(5,7),(6,2),(7,3),(7,4),(8,6)],9)
[9,1,2,3,5,6,4,7,8]=>([(1,6),(2,8),(3,8),(5,3),(6,7),(7,2),(7,5),(8,4)],9)
[2,3,4,7,5,6,8,9,1]=>([(1,6),(2,8),(3,8),(5,3),(6,7),(7,2),(7,5),(8,4)],9)
[2,3,4,6,7,5,8,9,1]=>([(1,6),(2,8),(3,8),(5,3),(6,7),(7,2),(7,5),(8,4)],9)
[7,6,5,8,4,3,2,1,9]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9)
[7,6,5,4,9,3,2,1,8]=>([(0,8),(1,8),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[7,6,5,4,3,8,2,1,9]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(8,7)],9)
[7,6,5,4,3,2,8,1,9]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(8,7)],9)
[6,9,8,5,4,3,2,1,7]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(5,7),(5,8)],9)
[7,5,8,9,4,3,2,1,6]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(5,8),(7,6)],9)
[7,6,4,8,9,3,2,1,5]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,7),(5,8),(7,6)],9)
[7,6,5,3,9,8,2,1,4]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,6),(4,6),(5,6),(5,7),(5,8)],9)
[7,6,5,4,2,8,9,1,3]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(5,8),(8,6)],9)
[7,6,5,4,3,1,8,9,2]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(5,8),(8,7)],9)
[6,5,8,7,4,3,2,1,9]=>([(0,8),(1,8),(2,8),(3,8),(4,6),(4,7),(5,6),(5,7),(6,8),(7,8)],9)
[7,5,4,8,6,3,2,1,9]=>([(0,8),(1,8),(2,8),(3,7),(4,6),(4,7),(5,6),(5,7),(6,8),(7,8)],9)
[5,9,8,7,4,3,2,1,6]=>([(0,8),(1,8),(2,8),(3,8),(4,5),(4,6),(4,7),(4,8)],9)
[7,6,4,3,9,5,2,1,8]=>([(0,8),(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(4,7),(5,6),(5,7),(6,8)],9)
[7,4,8,9,6,3,2,1,5]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(4,7),(4,8),(7,6)],9)
[7,6,5,3,2,8,4,1,9]=>([(0,8),(1,8),(2,8),(3,7),(4,6),(4,8),(5,6),(5,8),(6,7),(8,7)],9)
[7,6,3,8,9,5,2,1,4]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(4,7),(4,8),(8,5)],9)
[7,6,5,4,2,1,8,3,9]=>([(0,8),(1,8),(2,8),(3,8),(4,6),(4,8),(5,6),(5,8),(6,7),(8,7)],9)
[7,6,5,2,9,8,4,1,3]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,6),(4,5),(4,6),(4,7),(4,8)],9)
[7,6,5,4,1,8,9,3,2]=>([(0,8),(1,8),(2,8),(3,8),(4,5),(4,6),(4,8),(8,7)],9)
[2,3,4,5,6,8,9,7,1]=>([(1,7),(4,5),(5,8),(6,2),(7,4),(8,3),(8,6)],9)
[8,1,9,7,6,5,4,3,2]=>([(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8)],9)
[9,2,8,7,6,5,4,1,3]=>([(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8)],9)
[3,9,8,7,6,5,4,1,2]=>([(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],9)
[8,9,1,7,6,5,4,3,2]=>([(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],9)
[8,2,9,7,6,5,4,3,1]=>([(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8)],9)
[8,1,2,3,4,5,9,6,7]=>([(0,8),(1,6),(3,4),(4,7),(5,2),(6,3),(7,5),(7,8)],9)
[8,1,2,3,4,9,5,6,7]=>([(0,8),(1,6),(3,7),(4,5),(5,2),(6,3),(7,4),(7,8)],9)
[8,1,2,9,3,4,5,6,7]=>([(0,8),(1,7),(3,4),(4,6),(5,3),(6,2),(7,5),(7,8)],9)
[8,1,9,2,3,4,5,6,7]=>([(0,8),(1,7),(1,8),(3,4),(4,6),(5,3),(6,2),(7,5)],9)
[4,1,2,3,8,9,5,6,7]=>([(0,7),(0,8),(1,5),(4,7),(4,8),(5,4),(6,2),(7,6),(8,3)],9)
[2,1,8,9,3,4,5,6,7]=>([(0,7),(0,8),(1,7),(1,8),(4,6),(5,4),(6,2),(7,3),(8,5)],9)
[9,8,7,6,5,2,3,1,4]=>([(5,8),(6,7),(7,8)],9)
[9,8,7,6,3,4,2,1,5]=>([(4,8),(5,8),(6,7),(7,8)],9)
[9,8,7,4,5,3,2,1,6]=>([(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[9,8,5,6,4,3,2,1,7]=>([(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[9,6,7,5,4,3,2,1,8]=>([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[8,2,1,7,6,5,4,3,9]=>([(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[3,2,8,7,6,5,4,1,9]=>([(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[8,3,1,7,6,5,4,9,2]=>([(0,8),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(4,8),(5,8),(6,8),(7,8)],9)
[8,2,9,1,6,5,4,3,7]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,8),(4,8),(5,8),(6,8)],9)
[4,2,8,7,6,5,9,1,3]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,8),(4,8),(5,8),(6,8)],9)
[3,9,2,7,6,5,4,1,8]=>([(0,8),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(4,8),(5,8),(6,8),(7,8)],9)
[8,4,1,7,6,5,9,3,2]=>([(0,8),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(5,8),(6,8),(7,8)],9)
[8,3,2,1,6,5,4,7,9]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(5,8),(6,8),(7,8),(8,4)],9)
[8,2,9,7,1,5,4,3,6]=>([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(4,8),(5,8),(6,8)],9)
[5,2,8,7,6,9,4,1,3]=>([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(4,8),(5,8),(6,8)],9)
[4,3,2,7,6,5,8,1,9]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(5,8),(6,8),(7,8),(8,4)],9)
[3,9,8,2,6,5,4,1,7]=>([(0,8),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(5,8),(6,8),(7,8)],9)
[8,7,6,5,4,2,1,3,9]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[1,9,8,7,6,5,3,2,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(6,8),(7,8)],9)
[1,9,8,7,6,5,2,4,3]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(8,1),(8,2)],9)
[2,1,9,8,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8)],9)
[1,2,9,8,7,6,5,4,3]=>([(0,8),(8,1),(8,2),(8,3),(8,4),(8,5),(8,6),(8,7)],9)
[3,2,1,9,8,7,6,5,4]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8)],9)
[1,3,2,9,8,7,6,5,4]=>([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8)],9)
[1,2,3,9,8,7,6,5,4]=>([(0,7),(7,8),(8,1),(8,2),(8,3),(8,4),(8,5),(8,6)],9)
[4,3,2,1,9,8,7,6,5]=>([(0,4),(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8)],9)
[1,4,3,2,9,8,7,6,5]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8)],9)
[2,1,4,3,9,8,7,6,5]=>([(0,7),(0,8),(1,7),(1,8),(7,2),(7,3),(7,4),(7,5),(7,6),(8,2),(8,3),(8,4),(8,5),(8,6)],9)
[1,2,4,3,9,8,7,6,5]=>([(0,1),(1,2),(1,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8)],9)
[1,2,3,4,9,8,7,6,5]=>([(0,7),(6,8),(7,6),(8,1),(8,2),(8,3),(8,4),(8,5)],9)
[1,5,4,3,2,9,8,7,6]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8)],9)
[2,1,5,4,3,9,8,7,6]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8)],9)
[1,2,5,4,3,9,8,7,6]=>([(0,4),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,1),(4,2),(4,3)],9)
[1,3,2,5,4,9,8,7,6]=>([(0,1),(0,2),(1,7),(1,8),(2,7),(2,8),(7,3),(7,4),(7,5),(7,6),(8,3),(8,4),(8,5),(8,6)],9)
[1,2,3,5,4,9,8,7,6]=>([(0,3),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,4),(4,1),(4,2)],9)
[1,2,3,4,5,9,8,7,6]=>([(0,7),(5,6),(6,8),(7,5),(8,1),(8,2),(8,3),(8,4)],9)
[1,3,2,6,5,4,9,8,7]=>([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[1,2,3,6,5,4,9,8,7]=>([(0,4),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(5,1),(5,2),(5,3)],9)
[2,1,4,3,6,5,9,8,7]=>([(0,5),(0,6),(1,5),(1,6),(5,7),(5,8),(6,7),(6,8),(7,2),(7,3),(7,4),(8,2),(8,3),(8,4)],9)
[1,2,4,3,6,5,9,8,7]=>([(0,1),(1,2),(1,3),(2,7),(2,8),(3,7),(3,8),(7,4),(7,5),(7,6),(8,4),(8,5),(8,6)],9)
[1,2,3,4,6,5,9,8,7]=>([(0,4),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,5),(4,3),(5,1),(5,2)],9)
[1,2,3,5,4,7,6,9,8]=>([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,1),(4,2),(5,7),(5,8),(6,7),(6,8)],9)
[1,2,3,4,5,7,6,9,8]=>([(0,5),(1,7),(1,8),(2,7),(2,8),(3,4),(4,6),(5,3),(6,1),(6,2)],9)
[9,8,7,6,5,2,1,4,3]=>([(5,7),(5,8),(6,7),(6,8)],9)
[9,8,7,3,2,1,6,5,4]=>([(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[9,8,7,6,3,1,5,2,4]=>([(4,7),(4,8),(5,6),(5,7),(6,8)],9)
[9,4,3,2,1,8,7,6,5]=>([(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8)],9)
[9,8,4,3,1,7,6,2,5]=>([(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(5,8)],9)
[9,8,7,2,1,4,3,6,5]=>([(3,5),(3,6),(4,5),(4,6),(5,7),(5,8),(6,7),(6,8)],9)
[9,8,7,4,1,6,2,3,5]=>([(3,7),(3,8),(4,5),(4,7),(5,6),(6,8)],9)
[5,4,3,1,9,8,7,2,6]=>([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(4,8)],9)
[9,5,2,1,8,4,3,7,6]=>([(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(4,8),(5,7),(5,8)],9)
[9,8,3,1,5,2,7,4,6]=>([(2,5),(2,7),(3,4),(3,5),(4,7),(4,8),(5,6),(5,8),(7,6)],9)
[6,3,1,9,5,2,8,4,7]=>([(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,8),(4,7),(4,8),(5,7)],9)
[6,5,1,9,8,2,3,4,7]=>([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,3),(2,6),(2,7),(3,5),(4,8),(5,4)],9)
[9,2,1,4,3,6,5,8,7]=>([(1,7),(1,8),(2,7),(2,8),(5,3),(5,4),(6,3),(6,4),(7,5),(7,6),(8,5),(8,6)],9)
[9,6,1,8,2,3,4,5,7]=>([(1,7),(1,8),(2,6),(2,8),(3,7),(4,5),(5,3),(6,4)],9)
[5,1,7,2,9,3,4,6,8]=>([(0,4),(0,8),(1,7),(1,8),(2,3),(3,7),(4,2),(4,5),(7,6),(8,5),(8,6)],9)
[7,1,9,2,3,4,5,6,8]=>([(0,7),(0,8),(1,6),(1,8),(2,7),(3,5),(4,3),(5,2),(6,4)],9)
[9,1,8,7,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8)],9)
[7,1,9,8,6,5,4,3,2]=>([(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8)],9)
[6,1,9,8,7,5,4,3,2]=>([(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8)],9)
[5,1,9,8,7,6,4,3,2]=>([(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8)],9)
[4,1,9,8,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8)],9)
[3,1,9,8,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8)],9)
[9,8,1,7,6,5,4,3,2]=>([(2,3),(2,4),(2,5),(2,6),(2,7),(2,8)],9)
[8,7,9,1,6,5,4,3,2]=>([(0,8),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7)],9)
[7,6,9,8,1,5,4,3,2]=>([(0,7),(0,8),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6)],9)
[6,5,9,8,7,1,4,3,2]=>([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5)],9)
[5,4,9,8,7,6,1,3,2]=>([(0,3),(0,4),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8)],9)
[4,3,9,8,7,6,5,1,2]=>([(0,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8)],9)
[3,2,9,8,7,6,5,4,1]=>([(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8)],9)
[9,1,2,3,4,5,6,8,7]=>([(1,7),(4,6),(5,4),(6,8),(7,5),(8,2),(8,3)],9)
[9,1,2,3,4,5,7,8,6]=>([(1,7),(4,5),(5,8),(6,2),(7,4),(8,3),(8,6)],9)
[2,3,4,5,6,9,7,8,1]=>([(1,7),(4,5),(5,8),(6,2),(7,4),(8,3),(8,6)],9)
[9,2,1,8,7,6,5,4,3]=>([(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8)],9)
[3,9,2,8,7,6,5,4,1]=>([(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8)],9)
[4,2,9,8,7,6,5,3,1]=>([(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8)],9)
[9,2,8,1,7,6,5,4,3]=>([(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8)],9)
[9,3,1,8,7,6,5,4,2]=>([(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8)],9)
[2,3,5,6,4,7,8,9,1]=>([(1,7),(3,8),(4,8),(5,4),(6,2),(7,3),(7,5),(8,6)],9)
[2,3,6,4,5,7,8,9,1]=>([(1,7),(3,8),(4,8),(5,4),(6,2),(7,3),(7,5),(8,6)],9)
[9,1,2,4,5,3,6,7,8]=>([(1,7),(3,8),(4,8),(5,4),(6,2),(7,3),(7,5),(8,6)],9)
[7,9,6,8,5,4,3,2,1]=>([(5,8),(6,7),(6,8)],9)
[6,9,8,5,7,4,3,2,1]=>([(4,8),(5,6),(5,7),(5,8)],9)
[5,9,8,7,4,6,3,2,1]=>([(3,8),(4,5),(4,6),(4,7),(4,8)],9)
[4,9,8,7,6,3,5,2,1]=>([(2,8),(3,4),(3,5),(3,6),(3,7),(3,8)],9)
[3,9,8,7,6,5,2,4,1]=>([(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8)],9)
[8,6,9,7,4,5,2,3,1]=>([(1,8),(2,6),(3,5),(4,7),(4,8)],9)
[8,6,9,4,7,5,2,3,1]=>([(1,8),(2,7),(2,8),(3,6),(4,5),(4,7)],9)
[8,6,9,4,7,2,5,3,1]=>([(1,7),(2,6),(2,7),(3,6),(3,8),(4,5),(4,8)],9)
[8,6,9,4,7,3,5,1,2]=>([(0,7),(1,6),(2,6),(2,8),(3,7),(3,8),(4,5)],9)
[8,6,9,5,7,3,4,1,2]=>([(0,8),(1,7),(2,7),(2,8),(3,6),(4,5)],9)
[8,7,9,5,6,3,4,1,2]=>([(0,8),(1,8),(2,7),(3,6),(4,5)],9)
[8,6,4,9,7,5,2,3,1]=>([(1,8),(2,7),(2,8),(3,6),(4,5),(4,7),(4,8)],9)
[8,6,9,4,2,7,5,3,1]=>([(1,6),(2,6),(2,8),(3,7),(3,8),(4,5),(4,7),(4,8)],9)
[8,6,9,4,7,2,1,5,3]=>([(0,7),(1,6),(1,8),(2,5),(2,8),(3,5),(3,8),(4,6),(4,7)],9)
[8,6,9,4,7,3,5,2,1]=>([(2,8),(3,7),(4,6),(4,7),(5,6),(5,8)],9)
[8,6,9,5,7,2,4,1,3]=>([(0,7),(1,6),(2,8),(3,6),(3,7),(4,5),(4,8)],9)
[8,7,9,4,6,3,5,1,2]=>([(0,7),(1,7),(2,8),(3,6),(4,5),(4,8)],9)
[9,6,8,5,7,3,4,1,2]=>([(1,8),(2,6),(3,5),(4,7),(4,8)],9)
[1,3,4,5,6,7,9,2,8]=>([(0,2),(0,7),(2,8),(3,4),(4,6),(5,3),(6,1),(6,8),(7,5)],9)
[2,3,4,5,6,7,1,9,8]=>([(0,7),(0,8),(1,6),(2,7),(2,8),(3,5),(4,3),(5,2),(6,4)],9)
[2,1,4,5,6,7,8,9,3]=>([(0,7),(0,8),(1,7),(1,8),(3,4),(4,6),(5,3),(6,2),(8,5)],9)
[3,1,4,5,6,7,8,2,9]=>([(0,8),(1,3),(1,8),(2,7),(3,7),(4,6),(5,4),(6,2),(8,5)],9)
[1,2,3,4,5,7,9,6,8]=>([(0,6),(2,8),(3,4),(4,7),(5,1),(5,8),(6,3),(7,2),(7,5)],9)
[1,2,3,4,6,9,5,7,8]=>([(0,6),(2,8),(4,7),(5,1),(5,8),(6,4),(7,2),(7,5),(8,3)],9)
[1,2,3,5,9,4,6,7,8]=>([(0,6),(3,8),(4,2),(4,8),(5,1),(6,7),(7,3),(7,4),(8,5)],9)
[1,2,4,9,3,5,6,7,8]=>([(0,7),(3,8),(4,2),(5,1),(5,8),(6,4),(7,3),(7,5),(8,6)],9)
[1,3,9,2,4,5,6,7,8]=>([(0,3),(0,7),(3,8),(4,5),(5,1),(6,4),(7,2),(7,8),(8,6)],9)
[1,9,8,7,6,2,5,4,3]=>([(0,4),(0,5),(0,6),(0,7),(0,8),(8,1),(8,2),(8,3)],9)
[2,9,8,7,1,6,5,4,3]=>([(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8)],9)
[1,9,8,2,7,6,5,4,3]=>([(0,6),(0,7),(0,8),(8,1),(8,2),(8,3),(8,4),(8,5)],9)
[1,9,2,8,7,6,5,4,3]=>([(0,7),(0,8),(8,1),(8,2),(8,3),(8,4),(8,5),(8,6)],9)
[3,9,8,7,6,5,2,1,4]=>([(0,8),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8)],9)
[4,9,8,7,6,1,2,5,3]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(1,8),(7,2),(7,8)],9)
[5,9,8,7,1,2,6,4,3]=>([(0,7),(1,4),(1,5),(1,6),(1,8),(7,2),(7,3),(7,8)],9)
[6,9,8,2,1,7,5,4,3]=>([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,8)],9)
[7,9,1,2,8,6,5,4,3]=>([(0,7),(1,6),(1,8),(7,2),(7,3),(7,4),(7,5),(7,8)],9)
[8,1,2,9,7,6,5,4,3]=>([(0,8),(1,7),(7,2),(7,3),(7,4),(7,5),(7,6),(7,8)],9)
[1,9,8,7,6,3,2,5,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(5,8),(6,7),(6,8)],9)
[1,9,8,7,4,2,6,5,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(5,8),(6,1),(6,7),(6,8)],9)
[4,9,8,7,6,3,2,1,5]=>([(0,8),(1,8),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8)],9)
[2,9,8,5,1,7,6,4,3]=>([(0,2),(0,3),(0,4),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(4,5),(4,6)],9)
[5,9,8,7,4,1,2,6,3]=>([(0,8),(1,7),(2,4),(2,5),(2,6),(2,8),(7,3),(7,8)],9)
[1,9,6,2,8,7,5,4,3]=>([(0,4),(0,5),(0,6),(5,7),(5,8),(6,1),(6,2),(6,3),(6,7),(6,8)],9)
[6,9,8,5,1,2,7,4,3]=>([(0,8),(1,7),(2,5),(2,6),(2,8),(7,3),(7,4),(7,8)],9)
[1,7,2,9,8,6,5,4,3]=>([(0,5),(0,6),(5,7),(5,8),(6,1),(6,2),(6,3),(6,4),(6,7),(6,8)],9)
[7,9,6,2,1,8,5,4,3]=>([(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,4),(3,8)],9)
[8,7,1,2,9,6,5,4,3]=>([(0,8),(1,8),(2,7),(7,3),(7,4),(7,5),(7,6),(7,8)],9)
[1,6,7,8,9,2,3,4,5]=>([(0,7),(0,8),(3,5),(4,6),(5,2),(6,1),(7,3),(8,4)],9)
[6,7,8,1,2,3,4,5,9]=>([(0,7),(1,6),(2,8),(3,8),(4,5),(5,3),(6,4),(7,2)],9)
[1,7,8,9,2,3,4,5,6]=>([(0,7),(0,8),(3,5),(4,3),(5,2),(6,1),(7,6),(8,4)],9)
[5,6,7,1,8,2,3,4,9]=>([(0,6),(1,5),(1,8),(2,8),(3,7),(4,3),(5,4),(6,2),(8,7)],9)
[4,6,7,8,1,2,3,5,9]=>([(0,6),(1,5),(1,8),(2,8),(3,7),(4,3),(5,4),(6,2),(8,7)],9)
[1,6,7,8,2,9,3,4,5]=>([(0,6),(0,7),(2,8),(3,5),(4,2),(5,1),(6,4),(7,3),(7,8)],9)
[1,5,7,8,9,2,3,4,6]=>([(0,6),(0,7),(2,8),(3,5),(4,2),(5,1),(6,4),(7,3),(7,8)],9)
[9,2,3,4,5,6,7,8,1]=>([(2,8),(4,5),(5,7),(6,4),(7,3),(8,6)],9)
[8,2,3,4,5,6,7,1,9]=>([(0,8),(1,8),(2,7),(3,8),(4,6),(5,4),(6,3),(7,5)],9)
[7,2,3,4,5,6,1,8,9]=>([(0,8),(1,8),(2,7),(3,8),(5,6),(6,3),(7,5),(8,4)],9)
[6,2,3,4,5,1,7,8,9]=>([(0,8),(1,8),(2,6),(4,8),(5,4),(6,5),(7,3),(8,7)],9)
[5,2,3,4,1,6,7,8,9]=>([(0,8),(1,8),(2,6),(4,8),(5,3),(6,4),(7,5),(8,7)],9)
[4,2,3,1,5,6,7,8,9]=>([(0,8),(1,8),(2,4),(4,8),(5,6),(6,3),(7,5),(8,7)],9)
[1,2,4,3,5,6,7,8,9]=>([(0,7),(2,8),(3,8),(4,5),(5,1),(6,4),(7,2),(7,3),(8,6)],9)
[1,2,4,6,8,9,7,5,3]=>([(0,8),(5,4),(6,3),(6,7),(7,1),(7,5),(8,2),(8,6)],9)
[1,2,4,5,3,6,7,8,9]=>([(0,7),(2,8),(3,8),(4,1),(5,3),(6,4),(7,2),(7,5),(8,6)],9)
[2,4,1,3,6,8,5,7,9]=>([(0,8),(1,3),(1,8),(2,4),(3,6),(3,7),(5,4),(6,5),(7,2),(7,5),(8,6),(8,7)],9)
[8,2,1,3,4,5,6,7,9]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,4),(6,3),(8,5)],9)
[3,2,4,5,6,7,8,1,9]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,4),(6,3),(8,5)],9)
[8,3,1,2,4,5,6,7,9]=>([(0,7),(1,8),(2,4),(3,7),(4,8),(5,3),(6,5),(8,6)],9)
[8,2,3,1,4,5,6,7,9]=>([(0,7),(1,8),(2,4),(3,7),(4,8),(5,3),(6,5),(8,6)],9)
[4,2,3,5,6,7,8,1,9]=>([(0,7),(1,8),(2,4),(3,7),(4,8),(5,3),(6,5),(8,6)],9)
[1,9,3,4,5,6,7,8,2]=>([(0,2),(0,3),(0,8),(4,5),(5,7),(6,4),(7,1),(8,6)],9)
[1,9,8,4,5,6,7,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,8),(6,7),(7,1),(8,6)],9)
[1,7,2,3,4,5,6,9,8]=>([(0,2),(0,6),(1,7),(1,8),(2,7),(2,8),(3,5),(4,3),(5,1),(6,4)],9)
[6,9,1,2,3,4,5,7,8]=>([(0,7),(1,4),(1,8),(2,8),(5,6),(6,2),(7,5),(8,3)],9)
[1,3,4,5,6,7,9,8,2]=>([(0,3),(0,7),(4,6),(5,4),(6,8),(7,5),(8,1),(8,2)],9)
[7,3,4,5,6,8,1,2,9]=>([(0,7),(1,6),(2,4),(3,7),(4,8),(5,3),(6,5),(7,8)],9)
[2,3,4,5,7,6,8,1,9]=>([(0,8),(1,5),(2,7),(3,7),(4,6),(5,4),(6,2),(6,3),(7,8)],9)
[1,8,4,5,6,7,9,2,3]=>([(0,3),(0,6),(0,7),(2,8),(3,8),(4,2),(5,4),(6,5),(7,1)],9)
[1,3,4,5,6,8,7,9,2]=>([(0,3),(0,6),(1,8),(2,8),(4,5),(5,7),(6,4),(7,1),(7,2)],9)
[1,2,3,4,5,9,7,8,6]=>([(0,7),(4,5),(5,8),(6,1),(7,4),(8,2),(8,3),(8,6)],9)
[1,2,3,4,9,6,7,8,5]=>([(0,7),(4,8),(5,6),(6,1),(7,4),(8,2),(8,3),(8,5)],9)
[1,2,3,9,5,6,7,8,4]=>([(0,7),(4,6),(5,4),(6,1),(7,8),(8,2),(8,3),(8,5)],9)
[1,2,9,4,5,6,7,8,3]=>([(0,8),(4,5),(5,7),(6,4),(7,1),(8,2),(8,3),(8,6)],9)
[1,2,3,4,9,7,6,8,5]=>([(0,6),(3,8),(4,8),(5,7),(6,5),(7,1),(7,2),(7,3),(7,4)],9)
[1,2,3,9,6,5,7,8,4]=>([(0,6),(3,8),(4,8),(6,7),(7,1),(7,2),(7,3),(7,4),(8,5)],9)
[1,2,9,5,4,6,7,8,3]=>([(0,7),(4,8),(5,8),(6,3),(7,1),(7,2),(7,4),(7,5),(8,6)],9)
[1,9,4,3,5,6,7,8,2]=>([(0,2),(0,3),(0,4),(0,5),(4,8),(5,8),(6,1),(7,6),(8,7)],9)
[9,3,2,4,5,6,7,8,1]=>([(2,8),(3,8),(4,7),(6,5),(7,6),(8,4)],9)
[3,5,6,7,8,9,4,2,1]=>([(2,4),(2,8),(5,7),(6,5),(7,3),(8,6)],9)
[1,2,3,5,7,4,6,9,8]=>([(0,4),(1,6),(2,7),(2,8),(3,2),(3,6),(4,5),(5,1),(5,3),(6,7),(6,8)],9)
[1,2,3,6,4,7,5,9,8]=>([(0,4),(1,6),(2,7),(2,8),(3,2),(3,6),(4,5),(5,1),(5,3),(6,7),(6,8)],9)
[1,2,3,4,6,8,5,7,9]=>([(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,3),(6,2),(6,4),(7,8)],9)
[1,2,3,4,7,5,8,6,9]=>([(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,3),(6,2),(6,4),(7,8)],9)
[1,2,5,7,3,4,6,9,8]=>([(0,5),(1,6),(2,7),(2,8),(3,1),(4,2),(4,6),(5,3),(5,4),(6,7),(6,8)],9)
[1,2,4,5,7,3,6,9,8]=>([(0,5),(1,6),(2,7),(2,8),(3,4),(4,2),(4,6),(5,1),(5,3),(6,7),(6,8)],9)
[1,2,6,3,4,7,5,9,8]=>([(0,5),(1,6),(2,7),(2,8),(3,4),(4,2),(4,6),(5,1),(5,3),(6,7),(6,8)],9)
[1,2,5,6,3,7,4,9,8]=>([(0,5),(1,6),(2,7),(2,8),(3,1),(4,2),(4,6),(5,3),(5,4),(6,7),(6,8)],9)
[2,3,1,9,4,5,6,7,8]=>([(0,7),(0,8),(1,3),(3,7),(3,8),(4,6),(5,4),(6,2),(8,5)],9)
[4,9,1,2,3,5,6,7,8]=>([(0,7),(1,4),(1,8),(3,8),(5,2),(6,5),(7,3),(8,6)],9)
[3,9,1,2,4,5,6,7,8]=>([(0,4),(1,3),(1,8),(4,8),(5,6),(6,2),(7,5),(8,7)],9)
[6,8,1,9,2,3,4,5,7]=>([(0,6),(0,7),(1,3),(1,8),(2,8),(3,7),(4,5),(5,2),(6,4)],9)
[4,8,1,2,3,9,5,6,7]=>([(0,6),(1,4),(1,8),(3,7),(3,8),(4,7),(5,2),(6,3),(8,5)],9)
[3,8,1,2,4,5,9,6,7]=>([(0,3),(1,4),(1,8),(3,8),(4,7),(5,2),(6,5),(6,7),(8,6)],9)
[1,8,2,3,4,5,6,7,9]=>([(0,2),(0,7),(1,8),(2,8),(3,4),(4,6),(5,3),(6,1),(7,5)],9)
[9,8,7,5,6,4,3,2,1]=>([(7,8)],9)
[2,1,9,8,6,7,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(8,2)],9)
[9,8,7,5,4,6,3,2,1]=>([(6,8),(7,8)],9)
[9,8,7,4,6,5,3,2,1]=>([(6,7),(6,8)],9)
[2,1,9,8,6,5,7,4,3]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(7,2),(8,2)],9)
[2,1,9,8,5,7,6,4,3]=>([(0,4),(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(8,2),(8,3)],9)
[1,8,7,6,5,4,3,2,9]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[2,1,8,7,6,5,4,3,9]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[4,5,6,7,8,1,2,9,3]=>([(0,7),(1,6),(3,8),(4,3),(5,4),(6,5),(7,2),(7,8)],9)
[4,5,6,7,1,2,8,9,3]=>([(0,7),(1,6),(3,8),(5,3),(6,5),(7,2),(7,8),(8,4)],9)
[4,5,6,1,2,7,8,9,3]=>([(0,7),(1,6),(4,8),(5,3),(6,4),(7,2),(7,8),(8,5)],9)
[4,5,1,2,6,7,8,9,3]=>([(0,7),(1,4),(4,8),(5,3),(6,5),(7,2),(7,8),(8,6)],9)
[7,8,1,2,3,4,5,9,6]=>([(0,7),(1,3),(3,8),(4,6),(5,4),(6,2),(6,8),(7,5)],9)
[2,8,9,1,3,4,5,6,7]=>([(0,8),(1,6),(1,8),(4,5),(5,2),(6,3),(7,4),(8,7)],9)
[7,1,8,2,9,3,4,5,6]=>([(0,8),(1,6),(1,8),(3,5),(4,3),(5,2),(6,4),(6,7),(8,7)],9)
[6,1,7,2,8,3,9,4,5]=>([(0,8),(1,5),(1,8),(3,4),(3,7),(4,2),(5,3),(5,6),(6,7),(8,6)],9)
[5,1,6,2,7,3,8,4,9]=>([(0,8),(1,4),(1,8),(2,3),(2,7),(3,5),(4,2),(4,6),(6,7),(7,5),(8,6)],9)
[7,1,8,2,3,9,4,5,6]=>([(0,8),(1,5),(1,8),(3,4),(4,2),(5,6),(6,3),(6,7),(8,7)],9)
[6,1,7,2,8,3,4,9,5]=>([(0,8),(1,5),(1,8),(3,4),(4,2),(4,7),(5,3),(5,6),(6,7),(8,6)],9)
[5,1,6,2,7,3,9,4,8]=>([(0,7),(1,4),(1,7),(2,3),(2,6),(3,5),(4,2),(4,8),(7,8),(8,5),(8,6)],9)
[4,1,5,2,7,3,8,6,9]=>([(0,8),(1,2),(1,8),(2,3),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5),(8,6),(8,7)],9)
[2,1,3,4,5,6,8,9,7]=>([(0,8),(1,8),(4,7),(5,2),(6,4),(7,3),(7,5),(8,6)],9)
[2,1,3,4,5,6,7,9,8]=>([(0,8),(1,8),(4,5),(5,7),(6,4),(7,2),(7,3),(8,6)],9)
[2,3,1,4,5,6,8,9,7]=>([(0,8),(1,4),(4,8),(5,3),(6,7),(7,2),(7,5),(8,6)],9)
[1,3,2,4,5,6,8,9,7]=>([(0,3),(0,4),(3,8),(4,8),(5,2),(6,7),(7,1),(7,5),(8,6)],9)
[2,3,1,4,5,6,7,9,8]=>([(0,8),(1,4),(4,8),(5,7),(6,5),(7,2),(7,3),(8,6)],9)
[1,3,2,4,5,6,7,9,8]=>([(0,3),(0,4),(3,8),(4,8),(5,7),(6,5),(7,1),(7,2),(8,6)],9)
[6,7,1,2,3,4,8,9,5]=>([(0,7),(1,4),(4,8),(5,6),(6,2),(6,8),(7,5),(8,3)],9)
[7,8,6,5,4,3,2,9,1]=>([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[9,7,6,5,4,3,1,2,8]=>([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[2,4,3,5,6,7,8,9,1]=>([(1,3),(1,4),(3,8),(4,8),(5,6),(6,2),(7,5),(8,7)],9)
[4,5,6,7,8,9,2,1,3]=>([(0,8),(1,8),(2,7),(4,6),(5,4),(6,3),(7,5)],9)
[5,6,7,8,9,2,1,3,4]=>([(0,8),(1,8),(2,7),(5,6),(6,3),(7,5),(8,4)],9)
[6,7,8,9,2,1,3,4,5]=>([(0,8),(1,8),(2,6),(5,3),(6,5),(7,4),(8,7)],9)
[7,8,9,2,1,3,4,5,6]=>([(0,8),(1,8),(2,6),(5,3),(6,4),(7,5),(8,7)],9)
[8,9,2,1,3,4,5,6,7]=>([(0,8),(1,8),(2,4),(5,6),(6,3),(7,5),(8,7)],9)
[8,6,4,3,2,1,9,7,5]=>([(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[7,5,4,3,2,1,8,6,9]=>([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(7,6),(8,6)],9)
[8,6,4,2,1,9,7,5,3]=>([(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8)],9)
[7,5,3,2,1,8,6,4,9]=>([(0,8),(1,7),(1,8),(2,5),(2,7),(2,8),(3,5),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(7,6),(8,6)],9)
[7,4,3,2,1,8,5,9,6]=>([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(7,5),(7,6),(8,6)],9)
[6,4,3,2,1,7,5,8,9]=>([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(6,5),(7,6),(8,6)],9)
[7,5,3,1,8,6,4,2,9]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,8),(5,8),(6,8),(7,8)],9)
[7,4,2,1,8,5,3,9,6]=>([(0,8),(1,6),(1,8),(2,4),(2,6),(2,8),(3,4),(3,6),(3,8),(4,5),(4,7),(6,5),(6,7),(8,7)],9)
[6,4,2,1,7,5,3,8,9]=>([(0,8),(1,6),(1,8),(2,5),(2,6),(2,8),(3,5),(3,6),(3,8),(5,7),(6,7),(7,4),(8,7)],9)
[6,3,2,1,7,4,8,5,9]=>([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(5,6),(7,4),(7,5),(8,5)],9)
[5,3,2,1,6,4,7,8,9]=>([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,5),(6,4),(7,6),(8,6)],9)
[7,4,1,8,5,2,9,6,3]=>([(0,7),(1,5),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,8),(5,6),(5,8),(7,8)],9)
[6,3,1,7,4,2,8,5,9]=>([(0,7),(1,4),(1,7),(2,3),(2,4),(2,7),(3,6),(3,8),(4,6),(4,8),(6,5),(7,8),(8,5)],9)
[5,3,1,6,4,2,7,8,9]=>([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,8),(4,5),(6,8),(7,8),(8,4)],9)
[6,2,1,7,3,8,4,9,5]=>([(0,8),(1,6),(1,8),(2,6),(2,8),(3,4),(3,7),(5,7),(6,3),(6,5),(8,5)],9)
[5,2,1,6,3,7,4,8,9]=>([(0,8),(1,6),(1,8),(2,6),(2,8),(3,7),(5,7),(6,3),(6,5),(7,4),(8,5)],9)
[4,2,1,5,3,6,7,8,9]=>([(0,8),(1,6),(1,8),(2,6),(2,8),(3,5),(5,4),(6,7),(7,3),(8,7)],9)
[4,1,5,2,6,3,7,8,9]=>([(0,8),(1,4),(1,8),(3,7),(4,3),(4,6),(5,2),(6,7),(7,5),(8,6)],9)
[3,1,4,2,5,6,7,8,9]=>([(0,7),(1,3),(1,7),(3,8),(4,6),(5,4),(6,2),(7,8),(8,5)],9)
[1,7,2,3,4,5,6,8,9]=>([(0,3),(0,7),(1,8),(3,8),(4,6),(5,4),(6,1),(7,5),(8,2)],9)
[1,2,3,4,5,6,8,7,9]=>([(0,6),(1,8),(2,8),(3,5),(4,3),(5,7),(6,4),(7,1),(7,2)],9)
[1,2,3,4,5,7,6,8,9]=>([(0,6),(1,8),(2,8),(4,5),(5,7),(6,4),(7,1),(7,2),(8,3)],9)
[9,2,3,4,5,6,7,1,8]=>([(1,8),(2,7),(3,8),(4,6),(5,4),(6,3),(7,5)],9)
[8,2,3,4,5,6,9,1,7]=>([(0,8),(1,7),(2,6),(3,7),(3,8),(4,5),(5,3),(6,4)],9)
[8,2,3,9,5,6,7,1,4]=>([(0,8),(1,7),(2,6),(4,5),(5,3),(6,4),(6,7),(6,8)],9)
[8,2,9,4,5,6,7,1,3]=>([(0,8),(1,7),(2,6),(2,7),(2,8),(4,5),(5,3),(6,4)],9)
[8,9,3,4,5,6,7,1,2]=>([(0,5),(1,4),(2,8),(6,7),(7,3),(8,6)],9)
[4,2,3,1,9,8,7,6,5]=>([(0,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8)],9)
[3,2,1,9,8,6,7,5,4]=>([(0,4),(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(8,3)],9)
[1,3,2,4,5,6,7,8,9]=>([(0,2),(0,3),(2,8),(3,8),(4,6),(5,4),(6,1),(7,5),(8,7)],9)
[1,4,2,3,5,6,7,8,9]=>([(0,3),(0,7),(2,8),(3,8),(4,5),(5,1),(6,4),(7,2),(8,6)],9)
[8,2,3,4,5,6,7,9,1]=>([(1,8),(2,7),(3,8),(4,6),(5,4),(6,3),(7,5)],9)
[7,2,3,4,5,6,9,8,1]=>([(1,7),(1,8),(2,6),(3,7),(3,8),(4,5),(5,3),(6,4)],9)
[6,2,3,4,5,9,7,8,1]=>([(1,7),(1,8),(2,6),(4,7),(4,8),(5,4),(6,5),(8,3)],9)
[5,2,3,4,9,6,7,8,1]=>([(1,7),(1,8),(2,5),(4,7),(4,8),(5,4),(6,3),(8,6)],9)
[4,2,3,9,5,6,7,8,1]=>([(1,7),(1,8),(2,4),(4,7),(4,8),(5,3),(6,5),(8,6)],9)
[3,2,9,4,5,6,7,8,1]=>([(1,7),(1,8),(2,7),(2,8),(4,6),(5,4),(6,3),(8,5)],9)
[2,9,3,4,5,6,7,8,1]=>([(1,3),(1,8),(4,5),(5,7),(6,4),(7,2),(8,6)],9)
[6,2,3,4,5,1,8,9,7]=>([(0,7),(0,8),(1,7),(1,8),(2,6),(4,7),(4,8),(5,4),(6,5),(8,3)],9)
[5,2,3,4,1,7,9,8,6]=>([(0,7),(0,8),(1,7),(1,8),(2,6),(5,7),(5,8),(6,5),(8,3),(8,4)],9)
[4,2,3,1,6,9,7,8,5]=>([(0,7),(0,8),(1,7),(1,8),(2,5),(5,7),(5,8),(6,4),(8,3),(8,6)],9)
[3,2,1,5,9,6,7,8,4]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(5,6),(6,4),(8,3),(8,5)],9)
[2,1,4,9,5,6,7,8,3]=>([(0,7),(0,8),(1,7),(1,8),(4,6),(5,4),(6,2),(8,3),(8,5)],9)
[1,3,9,4,5,6,7,8,2]=>([(0,3),(0,8),(4,5),(5,7),(6,4),(7,1),(8,2),(8,6)],9)
[2,3,5,6,4,7,8,1,9]=>([(0,7),(1,6),(2,8),(3,8),(4,7),(5,3),(6,2),(6,5),(8,4)],9)
[1,3,4,6,7,5,8,9,2]=>([(0,4),(0,6),(1,8),(2,8),(5,2),(6,7),(7,1),(7,5),(8,3)],9)
[2,3,6,5,7,4,8,1,9]=>([(0,8),(1,5),(2,7),(3,6),(4,6),(5,2),(5,3),(5,4),(6,7),(7,8)],9)
[2,3,5,6,7,1,8,4,9]=>([(0,7),(0,8),(1,5),(2,8),(3,4),(4,2),(5,3),(5,7),(7,6),(8,6)],9)
[1,3,4,7,6,8,5,9,2]=>([(0,4),(0,5),(1,8),(2,7),(3,7),(5,6),(6,1),(6,2),(6,3),(7,8)],9)
[1,3,4,6,7,8,2,9,5]=>([(0,2),(0,6),(1,8),(2,7),(2,8),(3,4),(4,1),(5,3),(5,7),(6,5)],9)
[2,3,4,5,6,1,8,7,9]=>([(0,7),(0,8),(1,5),(2,7),(2,8),(3,4),(4,2),(5,3),(7,6),(8,6)],9)
[2,3,4,5,1,7,6,8,9]=>([(0,6),(0,7),(1,5),(3,6),(3,7),(4,3),(5,4),(6,8),(7,8),(8,2)],9)
[2,3,4,1,6,5,7,8,9]=>([(0,7),(0,8),(1,5),(3,7),(3,8),(4,2),(5,3),(6,4),(7,6),(8,6)],9)
[2,3,1,5,4,6,7,8,9]=>([(0,7),(0,8),(1,3),(3,7),(3,8),(4,5),(5,2),(6,4),(7,6),(8,6)],9)
[1,8,6,4,2,9,7,5,3]=>([(0,2),(0,3),(0,4),(0,5),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,1),(5,6),(5,7),(5,8)],9)
[8,6,4,2,1,7,5,3,9]=>([(0,8),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,8),(6,8),(7,8)],9)
[8,7,5,3,1,6,4,2,9]=>([(0,8),(1,8),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,8),(6,8),(7,8)],9)
[1,9,7,5,3,2,8,6,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[1,9,8,6,4,2,7,5,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(4,8),(5,7),(5,8),(6,1),(6,7),(6,8)],9)
[8,6,5,4,3,2,1,7,9]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(8,7)],9)
[9,4,3,2,5,6,7,8,1]=>([(2,8),(3,8),(4,8),(5,7),(7,6),(8,5)],9)
[8,1,2,3,4,5,7,6,9]=>([(0,8),(1,6),(2,8),(3,8),(4,5),(5,7),(6,4),(7,2),(7,3)],9)
[1,9,2,3,4,5,6,8,7]=>([(0,3),(0,7),(4,6),(5,4),(6,8),(7,5),(8,1),(8,2)],9)
[8,1,2,3,4,7,6,5,9]=>([(0,8),(1,6),(2,8),(3,8),(4,8),(5,7),(6,5),(7,2),(7,3),(7,4)],9)
[8,1,2,3,4,6,5,7,9]=>([(0,8),(1,5),(2,7),(3,7),(4,6),(5,4),(6,2),(6,3),(7,8)],9)
[1,9,2,3,4,5,8,7,6]=>([(0,4),(0,7),(5,6),(6,8),(7,5),(8,1),(8,2),(8,3)],9)
[1,9,2,3,4,5,7,6,8]=>([(0,3),(0,6),(1,8),(2,8),(4,5),(5,7),(6,4),(7,1),(7,2)],9)
[1,3,4,5,6,7,8,2,9]=>([(0,2),(0,7),(1,8),(2,8),(3,4),(4,6),(5,3),(6,1),(7,5)],9)
[2,1,4,5,6,7,9,3,8]=>([(0,7),(0,8),(1,7),(1,8),(3,5),(4,3),(5,2),(5,6),(7,6),(8,4)],9)
[2,1,4,5,6,7,8,3,9]=>([(0,7),(0,8),(1,7),(1,8),(2,6),(3,5),(4,3),(5,2),(7,6),(8,4)],9)
[1,3,9,8,7,6,5,4,2]=>([(0,7),(0,8),(8,1),(8,2),(8,3),(8,4),(8,5),(8,6)],9)
[9,3,4,2,5,6,7,8,1]=>([(2,8),(3,4),(4,8),(5,6),(6,7),(8,5)],9)
[1,2,3,4,5,7,9,8,6]=>([(0,6),(4,5),(5,7),(6,4),(7,1),(7,8),(8,2),(8,3)],9)
[1,2,3,4,6,7,9,8,5]=>([(0,6),(4,8),(5,7),(6,4),(7,2),(7,3),(8,1),(8,5)],9)
[1,2,3,4,6,8,9,7,5]=>([(0,6),(4,8),(5,3),(6,4),(7,2),(7,5),(8,1),(8,7)],9)
[1,2,3,4,6,9,8,7,5]=>([(0,6),(5,7),(6,5),(7,4),(7,8),(8,1),(8,2),(8,3)],9)
[1,2,3,5,6,7,9,8,4]=>([(0,6),(4,5),(5,7),(6,8),(7,2),(7,3),(8,1),(8,4)],9)
[1,2,3,5,6,8,9,7,4]=>([(0,6),(4,3),(5,8),(6,7),(7,2),(7,5),(8,1),(8,4)],9)
[1,2,3,5,6,9,8,7,4]=>([(0,6),(5,8),(6,7),(7,4),(7,5),(8,1),(8,2),(8,3)],9)
[1,2,3,5,7,9,8,6,4]=>([(0,5),(5,8),(6,2),(6,7),(7,3),(7,4),(8,1),(8,6)],9)
[1,2,3,5,9,8,7,6,4]=>([(0,6),(6,7),(7,5),(7,8),(8,1),(8,2),(8,3),(8,4)],9)
[1,2,4,5,7,8,9,6,3]=>([(0,8),(4,7),(5,6),(6,3),(7,2),(7,5),(8,1),(8,4)],9)
[1,2,4,5,7,9,8,6,3]=>([(0,8),(5,7),(6,3),(6,4),(7,1),(7,6),(8,2),(8,5)],9)
[1,2,4,5,9,8,7,6,3]=>([(0,7),(6,8),(7,5),(7,6),(8,1),(8,2),(8,3),(8,4)],9)
[1,2,4,6,9,8,7,5,3]=>([(0,7),(6,5),(6,8),(7,1),(7,6),(8,2),(8,3),(8,4)],9)
[1,2,4,9,8,7,6,5,3]=>([(0,7),(7,6),(7,8),(8,1),(8,2),(8,3),(8,4),(8,5)],9)
[1,3,5,7,9,8,6,4,2]=>([(0,5),(0,8),(6,2),(6,7),(7,3),(7,4),(8,1),(8,6)],9)
[1,3,5,9,8,7,6,4,2]=>([(0,6),(0,7),(7,5),(7,8),(8,1),(8,2),(8,3),(8,4)],9)
[6,5,1,2,3,7,8,9,4]=>([(0,8),(1,8),(2,5),(5,6),(6,3),(6,8),(7,4),(8,7)],9)
[3,4,1,6,2,5,8,7,9]=>([(0,3),(1,2),(1,7),(2,8),(3,7),(3,8),(5,4),(6,4),(7,5),(7,6),(8,5),(8,6)],9)
[3,4,1,2,6,5,8,7,9]=>([(0,3),(1,2),(2,7),(2,8),(3,7),(3,8),(5,4),(6,4),(7,5),(7,6),(8,5),(8,6)],9)
[3,5,1,6,2,4,8,7,9]=>([(0,3),(0,8),(1,2),(1,7),(2,8),(3,7),(5,4),(6,4),(7,5),(7,6),(8,5),(8,6)],9)
[2,5,1,6,3,4,8,7,9]=>([(0,2),(0,5),(1,5),(1,8),(2,8),(3,6),(3,7),(5,3),(6,4),(7,4),(8,6),(8,7)],9)
[3,5,1,2,6,4,8,7,9]=>([(0,3),(1,2),(1,7),(2,8),(3,7),(3,8),(5,4),(6,4),(7,5),(7,6),(8,5),(8,6)],9)
[2,5,1,3,6,4,8,7,9]=>([(0,7),(1,2),(1,7),(2,8),(3,5),(3,6),(5,4),(6,4),(7,3),(7,8),(8,5),(8,6)],9)
[8,6,4,2,1,3,5,7,9]=>([(0,5),(1,5),(2,7),(3,8),(4,6),(5,8),(7,6),(8,7)],9)
[8,6,2,1,4,3,5,7,9]=>([(0,8),(1,4),(2,6),(2,7),(3,6),(3,7),(5,8),(6,5),(7,5),(8,4)],9)
[8,4,2,1,6,3,5,7,9]=>([(0,4),(0,8),(1,4),(1,8),(2,5),(3,6),(3,8),(4,6),(6,7),(7,5),(8,7)],9)
[6,4,2,1,8,3,5,7,9]=>([(0,4),(0,8),(1,4),(1,8),(2,6),(2,8),(3,7),(3,8),(4,7),(6,5),(7,6),(8,5)],9)
[8,6,4,2,9,1,3,5,7]=>([(0,5),(1,8),(2,5),(2,8),(3,6),(3,8),(4,7),(4,8),(5,7),(7,6)],9)
[9,6,4,2,7,1,3,5,8]=>([(1,5),(2,8),(3,5),(3,8),(4,7),(4,8),(5,7),(7,6),(8,6)],9)
[9,7,4,2,5,1,3,6,8]=>([(1,7),(2,6),(3,5),(4,5),(4,6),(5,8),(6,8),(8,7)],9)
[9,7,5,2,3,1,4,6,8]=>([(1,7),(2,8),(3,6),(4,5),(5,8),(6,7),(8,6)],9)
[9,7,5,3,1,2,4,6,8]=>([(1,7),(2,8),(3,6),(4,5),(5,8),(6,7),(8,6)],9)
[8,2,1,4,3,6,5,7,9]=>([(0,3),(1,7),(1,8),(2,7),(2,8),(4,6),(5,6),(6,3),(7,4),(7,5),(8,4),(8,5)],9)
[4,2,1,6,3,5,8,7,9]=>([(0,6),(0,8),(1,6),(1,8),(2,7),(2,8),(4,3),(5,3),(6,7),(7,4),(7,5),(8,4),(8,5)],9)
[6,4,2,1,8,3,5,9,7]=>([(0,4),(0,8),(1,4),(1,8),(2,5),(2,8),(3,7),(3,8),(4,7),(7,5),(7,6),(8,6)],9)
[6,4,2,7,1,3,5,8,9]=>([(0,8),(1,6),(1,8),(2,5),(3,5),(3,8),(5,6),(6,7),(7,4),(8,7)],9)
[8,9,4,2,5,1,3,6,7]=>([(0,7),(1,6),(2,6),(2,7),(3,5),(6,8),(7,8),(8,4)],9)
[9,6,7,2,3,1,4,5,8]=>([(1,7),(2,4),(3,5),(4,8),(5,7),(6,8),(7,6)],9)
[9,7,4,5,1,2,3,6,8]=>([(1,7),(2,4),(3,5),(4,8),(5,6),(6,8),(8,7)],9)
[1,2,9,3,4,5,6,8,7]=>([(0,8),(4,6),(5,7),(6,5),(7,2),(7,3),(8,1),(8,4)],9)
[1,2,3,8,4,5,9,6,7]=>([(0,6),(2,8),(3,5),(4,1),(5,4),(5,8),(6,7),(7,2),(7,3)],9)
[1,2,3,4,9,5,6,8,7]=>([(0,6),(4,8),(5,7),(6,4),(7,2),(7,3),(8,1),(8,5)],9)
[1,2,3,4,5,9,6,8,7]=>([(0,6),(4,5),(5,7),(6,4),(7,1),(7,8),(8,2),(8,3)],9)
[7,1,2,3,4,8,5,9,6]=>([(0,8),(1,5),(3,4),(4,6),(4,8),(5,3),(6,2),(6,7),(8,7)],9)
[6,9,1,2,3,4,8,5,7]=>([(0,6),(1,3),(1,7),(1,8),(2,8),(4,5),(5,2),(5,7),(6,4)],9)
[5,1,9,2,3,4,8,6,7]=>([(0,6),(0,7),(0,8),(1,5),(1,7),(3,6),(3,8),(4,3),(5,4),(8,2)],9)
[4,1,2,3,5,8,6,9,7]=>([(0,8),(1,5),(3,8),(4,7),(5,3),(6,2),(6,7),(8,4),(8,6)],9)
[3,1,2,4,9,5,8,6,7]=>([(0,8),(1,4),(4,8),(6,3),(7,2),(7,6),(8,5),(8,7)],9)
[2,1,3,4,5,9,6,8,7]=>([(0,8),(1,8),(5,7),(6,3),(6,4),(7,2),(7,6),(8,5)],9)
[1,7,2,3,4,5,9,8,6]=>([(0,2),(0,6),(2,7),(2,8),(3,5),(4,3),(5,1),(5,7),(5,8),(6,4)],9)
[1,6,2,3,4,5,9,8,7]=>([(0,2),(0,5),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,4),(4,1),(5,3)],9)
[6,1,2,3,7,4,8,9,5]=>([(0,8),(1,5),(4,6),(4,8),(5,4),(6,2),(6,7),(7,3),(8,7)],9)
[1,2,3,8,5,4,6,9,7]=>([(0,5),(2,8),(3,8),(4,7),(5,6),(6,2),(6,3),(6,4),(8,1),(8,7)],9)
[5,9,1,2,6,3,4,8,7]=>([(0,5),(1,3),(1,8),(2,6),(2,7),(4,2),(5,4),(5,8),(8,6),(8,7)],9)
[1,4,2,3,5,6,9,8,7]=>([(0,5),(0,6),(4,8),(5,8),(6,4),(7,1),(7,2),(7,3),(8,7)],9)
[4,1,9,5,2,3,6,8,7]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(4,8),(5,4),(7,8),(8,2),(8,3)],9)
[1,3,2,4,5,6,9,8,7]=>([(0,4),(0,5),(4,8),(5,8),(6,7),(7,1),(7,2),(7,3),(8,6)],9)
[3,4,1,2,5,6,8,9,7]=>([(0,5),(1,4),(4,8),(5,8),(6,3),(7,2),(7,6),(8,7)],9)
[2,3,1,4,9,5,6,8,7]=>([(0,8),(1,4),(4,8),(6,7),(7,2),(7,3),(8,5),(8,6)],9)
[8,1,2,3,4,6,9,5,7]=>([(0,8),(1,5),(2,7),(3,7),(3,8),(4,6),(5,4),(6,2),(6,3)],9)
[8,1,2,4,6,9,3,5,7]=>([(0,8),(1,5),(2,7),(2,8),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7)],9)
[6,1,2,3,4,5,9,8,7]=>([(0,6),(0,7),(0,8),(1,5),(2,6),(2,7),(2,8),(3,4),(4,2),(5,3)],9)
[5,1,2,3,4,8,6,9,7]=>([(0,7),(0,8),(1,5),(3,7),(3,8),(4,3),(5,4),(7,6),(8,2),(8,6)],9)
[4,1,2,3,9,6,8,5,7]=>([(0,3),(1,6),(1,7),(1,8),(3,4),(4,6),(4,7),(4,8),(7,5),(8,2),(8,5)],9)
[3,1,2,8,4,6,9,5,7]=>([(0,4),(1,5),(1,8),(2,7),(3,6),(3,7),(4,5),(4,8),(5,2),(5,3),(8,6)],9)
[2,1,9,4,6,8,3,5,7]=>([(0,5),(0,7),(0,8),(1,5),(1,7),(1,8),(3,2),(3,4),(6,4),(7,6),(8,3),(8,6)],9)
[1,8,2,4,6,9,3,5,7]=>([(0,3),(0,5),(1,7),(2,6),(2,8),(3,6),(4,2),(4,7),(5,1),(5,4),(7,8)],9)
[4,3,5,6,7,8,9,1,2]=>([(0,8),(1,8),(2,4),(5,6),(6,3),(7,5),(8,7)],9)
[6,7,8,5,4,3,2,1,9]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9)
[6,5,7,8,4,3,2,1,9]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,8),(7,6)],9)
[6,5,4,7,8,3,2,1,9]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,7),(6,8),(7,6)],9)
[6,5,4,3,7,8,2,1,9]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(8,6)],9)
[6,5,4,3,2,7,8,1,9]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(8,6)],9)
[7,8,9,5,4,3,2,1,6]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7)],9)
[6,7,8,9,4,3,2,1,5]=>([(0,5),(1,8),(2,8),(3,8),(4,8),(5,7),(7,6)],9)
[6,5,7,8,9,3,2,1,4]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(7,5)],9)
[6,5,4,7,8,9,2,1,3]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(8,5)],9)
[6,5,4,3,7,8,9,1,2]=>([(0,8),(1,8),(2,8),(3,8),(4,5),(6,7),(8,6)],9)
[6,5,4,3,2,7,8,9,1]=>([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(8,6)],9)
[8,7,6,5,3,2,1,4,9]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9)
[8,7,6,4,3,2,1,5,9]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,7),(6,7),(7,8)],9)
[8,7,5,4,3,2,1,6,9]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(8,7)],9)
[8,7,6,5,4,1,2,3,9]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9)
[8,7,6,5,2,3,1,4,9]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[8,7,6,3,4,2,1,5,9]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,7),(7,8)],9)
[8,7,4,5,3,2,1,6,9]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(8,7)],9)
[8,5,6,4,3,2,1,7,9]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(8,7)],9)
[6,7,5,4,3,2,1,8,9]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,8),(8,7)],9)
[6,8,7,9,5,4,3,2,1]=>([(5,6),(5,7),(6,8),(7,8)],9)
[5,8,7,6,9,4,3,2,1]=>([(4,5),(4,6),(4,7),(5,8),(6,8),(7,8)],9)
[4,8,7,6,5,9,3,2,1]=>([(3,4),(3,5),(3,6),(3,7),(4,8),(5,8),(6,8),(7,8)],9)
[3,8,7,6,5,4,9,2,1]=>([(2,3),(2,4),(2,5),(2,6),(2,7),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[2,8,7,6,5,4,3,9,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[9,1,3,4,5,6,7,8,2]=>([(1,3),(1,8),(4,5),(5,7),(6,4),(7,2),(8,6)],9)
[1,8,3,4,5,6,9,2,7]=>([(0,2),(0,3),(0,6),(1,7),(1,8),(2,8),(3,7),(4,5),(5,1),(6,4)],9)
[8,2,3,4,5,1,9,7,6]=>([(0,3),(1,8),(2,6),(2,7),(2,8),(3,5),(4,6),(4,7),(4,8),(5,4)],9)
[8,1,9,4,5,6,7,3,2]=>([(0,8),(1,3),(1,4),(1,7),(1,8),(5,6),(6,2),(7,5)],9)
[7,9,3,4,5,6,1,8,2]=>([(0,7),(1,5),(1,8),(2,4),(2,8),(3,8),(6,3),(7,6)],9)
[1,2,8,4,5,6,9,3,7]=>([(0,6),(1,8),(2,7),(3,7),(3,8),(4,5),(5,3),(6,1),(6,2),(6,4)],9)
[7,8,3,4,5,2,9,1,6]=>([(0,7),(1,7),(1,8),(2,4),(3,5),(4,8),(5,6),(6,7),(6,8)],9)
[8,2,3,4,1,6,9,7,5]=>([(0,6),(1,7),(1,8),(2,4),(4,5),(5,7),(5,8),(8,3),(8,6)],9)
[8,1,3,9,5,6,7,4,2]=>([(0,8),(1,4),(1,7),(5,6),(6,3),(7,2),(7,5),(7,8)],9)
[7,8,9,4,5,6,3,1,2]=>([(1,6),(2,8),(3,7),(7,4),(8,5)],9)
[6,9,3,4,5,1,7,8,2]=>([(0,7),(1,6),(1,8),(2,5),(2,8),(3,8),(7,3),(8,4)],9)
[4,1,5,6,7,8,9,2,3]=>([(0,8),(1,6),(1,8),(4,5),(5,2),(6,3),(7,4),(8,7)],9)
[2,3,4,5,8,9,1,6,7]=>([(0,8),(1,6),(4,7),(5,2),(6,4),(7,5),(7,8),(8,3)],9)
[2,3,6,7,1,8,9,4,5]=>([(0,7),(0,8),(1,6),(2,8),(5,2),(6,5),(6,7),(7,3),(8,4)],9)
[9,8,7,6,5,4,2,3,1]=>([(7,8)],9)
[2,3,9,8,7,6,5,4,1]=>([(1,8),(8,2),(8,3),(8,4),(8,5),(8,6),(8,7)],9)
[9,1,3,2,4,5,6,7,8]=>([(1,3),(1,4),(3,8),(4,8),(5,6),(6,2),(7,5),(8,7)],9)
[3,5,2,4,7,6,9,8,1]=>([(1,8),(2,3),(2,8),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7)],9)
[2,4,3,6,5,8,7,1,9]=>([(0,8),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,8),(5,8),(6,4),(6,5),(7,4),(7,5)],9)
[3,5,1,2,4,7,6,9,8]=>([(0,2),(1,3),(1,8),(2,8),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7)],9)
[3,4,5,6,7,8,2,9,1]=>([(1,8),(2,7),(3,8),(4,6),(5,4),(6,3),(7,5)],9)
[8,7,6,4,5,3,2,9,1]=>([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[2,9,8,7,5,6,4,3,1]=>([(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(8,2)],9)
[8,6,9,7,5,4,3,2,1]=>([(5,8),(6,7),(6,8)],9)
[5,6,4,7,3,8,2,9,1]=>([(1,7),(2,8),(3,6),(4,5),(5,8),(6,7),(8,6)],9)
[5,6,4,7,3,9,2,8,1]=>([(1,7),(2,8),(3,6),(3,8),(4,5),(5,7),(7,6),(7,8)],9)
[5,4,6,3,7,2,8,1,9]=>([(0,5),(1,5),(2,7),(3,8),(4,6),(5,8),(7,6),(8,7)],9)
[1,8,3,4,5,6,7,9,2]=>([(0,2),(0,3),(0,7),(1,8),(3,8),(4,6),(5,4),(6,1),(7,5)],9)
[7,2,3,4,5,6,1,9,8]=>([(0,7),(0,8),(1,7),(1,8),(2,6),(3,7),(3,8),(4,5),(5,3),(6,4)],9)
[2,1,9,4,5,6,7,8,3]=>([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(3,5),(4,3),(5,2),(8,4)],9)
[2,8,3,4,5,6,7,1,9]=>([(0,8),(1,3),(1,7),(2,8),(3,8),(4,6),(5,4),(6,2),(7,5)],9)
[6,1,2,3,4,5,7,8,9]=>([(0,8),(1,6),(3,8),(4,5),(5,3),(6,4),(7,2),(8,7)],9)
[5,1,2,3,4,6,7,8,9]=>([(0,8),(1,6),(3,8),(4,3),(5,2),(6,4),(7,5),(8,7)],9)
[4,1,2,3,5,6,7,8,9]=>([(0,8),(1,6),(3,8),(4,5),(5,2),(6,3),(7,4),(8,7)],9)
[9,8,2,3,4,5,6,7,1]=>([(3,8),(5,7),(6,5),(7,4),(8,6)],9)
[8,9,2,3,4,5,6,7,1]=>([(1,8),(2,4),(5,7),(6,5),(7,3),(8,6)],9)
[9,8,7,6,4,5,3,2,1]=>([(7,8)],9)
[5,6,7,8,9,1,4,3,2]=>([(0,8),(1,3),(1,4),(1,5),(6,7),(7,2),(8,6)],9)
[1,8,9,3,4,5,6,7,2]=>([(0,3),(0,7),(0,8),(4,6),(5,4),(6,2),(7,5),(8,1)],9)
[3,4,5,6,1,8,9,2,7]=>([(0,6),(1,4),(1,8),(3,7),(3,8),(4,7),(5,3),(6,5),(8,2)],9)
[3,4,5,6,8,1,9,2,7]=>([(0,6),(1,3),(1,8),(2,8),(3,7),(4,5),(5,2),(5,7),(6,4)],9)
[3,4,5,6,8,9,1,2,7]=>([(0,7),(1,3),(3,8),(4,6),(5,2),(6,5),(6,8),(7,4)],9)
[2,4,5,1,6,7,8,9,3]=>([(0,7),(0,8),(1,6),(1,7),(3,8),(4,5),(5,2),(6,3),(8,4)],9)
[2,3,4,1,6,7,8,9,5]=>([(0,7),(0,8),(1,6),(3,7),(3,8),(4,5),(5,2),(6,3),(8,4)],9)
[3,4,5,6,1,2,9,7,8]=>([(0,6),(1,4),(3,7),(3,8),(4,7),(4,8),(5,3),(6,5),(8,2)],9)
[3,4,5,6,8,1,2,7,9]=>([(0,6),(1,3),(2,8),(3,7),(4,5),(5,2),(5,7),(6,4),(7,8)],9)
[3,4,5,1,6,7,8,2,9]=>([(0,6),(1,4),(1,8),(2,8),(3,7),(4,7),(5,3),(6,2),(8,5)],9)
[5,6,1,7,8,9,2,3,4]=>([(0,4),(1,7),(1,8),(4,8),(5,3),(6,2),(7,5),(8,6)],9)
[1,3,5,2,6,7,8,9,4]=>([(0,3),(0,6),(2,7),(3,7),(3,8),(4,1),(5,4),(6,2),(6,8),(7,5)],9)
[2,1,4,3,6,7,8,9,5]=>([(0,7),(0,8),(1,7),(1,8),(2,4),(4,3),(6,2),(7,5),(7,6),(8,5),(8,6)],9)
[2,3,1,5,6,7,8,9,4]=>([(0,7),(0,8),(1,3),(3,7),(3,8),(4,6),(5,4),(6,2),(8,5)],9)
[9,7,8,5,4,3,2,1,6]=>([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7)],9)
[1,2,3,4,6,5,7,8,9]=>([(0,6),(2,8),(3,8),(4,7),(5,1),(6,4),(7,2),(7,3),(8,5)],9)
[1,2,3,5,4,6,7,8,9]=>([(0,6),(2,8),(3,8),(4,1),(5,4),(6,7),(7,2),(7,3),(8,5)],9)
[1,8,2,3,4,5,9,6,7]=>([(0,2),(0,7),(2,8),(3,6),(4,3),(5,1),(6,5),(6,8),(7,4)],9)
[1,3,4,5,6,8,9,2,7]=>([(0,2),(0,7),(2,8),(3,6),(4,3),(5,1),(6,5),(6,8),(7,4)],9)
[4,5,2,3,6,7,8,9,1]=>([(1,5),(2,4),(4,8),(5,8),(6,3),(7,6),(8,7)],9)
[4,3,2,5,6,7,8,9,1]=>([(1,8),(2,8),(3,8),(4,7),(6,5),(7,6),(8,4)],9)
[5,6,7,2,3,4,8,9,1]=>([(1,7),(2,6),(3,8),(4,8),(6,3),(7,4),(8,5)],9)
[5,3,6,2,4,7,8,9,1]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(6,8),(7,8),(8,4)],9)
[5,4,3,2,6,7,8,9,1]=>([(1,8),(2,8),(3,8),(4,8),(5,7),(7,6),(8,5)],9)
[6,3,7,8,2,4,5,9,1]=>([(1,7),(2,6),(3,6),(3,7),(4,8),(5,8),(6,4),(7,5)],9)
[6,7,4,5,2,3,8,9,1]=>([(1,6),(2,5),(3,4),(4,8),(5,8),(6,8),(8,7)],9)
[6,4,3,7,2,5,8,9,1]=>([(1,8),(2,7),(3,7),(3,8),(4,7),(4,8),(6,5),(7,6),(8,6)],9)
[7,8,4,5,9,2,3,6,1]=>([(1,5),(2,4),(3,6),(4,7),(5,8),(6,7),(6,8)],9)
[7,4,3,8,9,2,5,6,1]=>([(1,8),(2,7),(3,7),(3,8),(4,7),(4,8),(7,5),(8,6)],9)
[7,5,8,3,6,2,4,9,1]=>([(1,6),(2,5),(3,5),(3,7),(4,6),(4,7),(5,8),(6,8),(7,8)],9)
[7,5,4,3,8,2,6,9,1]=>([(1,8),(2,7),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(7,6),(8,6)],9)
[7,6,5,4,3,2,8,9,1]=>([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(8,7)],9)
[8,6,4,9,3,7,2,5,1]=>([(1,7),(2,6),(3,6),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[8,6,5,4,3,9,2,7,1]=>([(1,8),(2,7),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[2,4,1,5,3,6,7,8,9]=>([(0,7),(0,8),(1,3),(1,8),(3,7),(4,5),(5,2),(6,4),(7,6),(8,6)],9)
[4,5,6,7,8,3,9,1,2]=>([(0,8),(1,7),(2,4),(3,8),(5,6),(6,3),(7,5)],9)
[8,9,2,3,4,5,1,6,7]=>([(0,8),(1,7),(2,5),(3,8),(6,3),(7,6),(8,4)],9)
[5,6,7,4,8,9,1,2,3]=>([(0,8),(1,6),(2,7),(4,8),(6,3),(7,4),(8,5)],9)
[7,8,9,2,3,1,4,5,6]=>([(0,8),(1,7),(2,5),(5,8),(6,4),(7,3),(8,6)],9)
[6,5,7,8,9,1,2,3,4]=>([(0,8),(1,8),(2,6),(5,3),(6,5),(7,4),(8,7)],9)
[7,1,2,3,4,5,8,6,9]=>([(0,8),(1,6),(2,7),(3,5),(4,3),(5,2),(5,8),(6,4),(8,7)],9)
[6,1,2,3,4,7,5,8,9]=>([(0,8),(1,6),(2,7),(4,5),(5,2),(5,8),(6,4),(7,3),(8,7)],9)
[5,1,2,3,6,4,7,8,9]=>([(0,7),(1,5),(3,8),(4,2),(5,6),(6,3),(6,7),(7,8),(8,4)],9)
[4,1,2,5,3,6,7,8,9]=>([(0,7),(1,6),(3,8),(4,5),(5,2),(6,3),(6,7),(7,8),(8,4)],9)
[9,1,2,3,8,5,6,7,4]=>([(1,7),(5,6),(6,4),(7,8),(8,2),(8,3),(8,5)],9)
[1,2,3,4,5,8,9,6,7]=>([(0,7),(3,4),(4,8),(5,2),(6,1),(7,3),(8,5),(8,6)],9)
[1,2,3,4,7,9,5,8,6]=>([(0,6),(3,7),(4,2),(4,8),(5,1),(5,8),(6,3),(7,4),(7,5)],9)
[1,2,3,6,9,4,7,8,5]=>([(0,6),(4,2),(4,8),(5,1),(5,8),(6,7),(7,4),(7,5),(8,3)],9)
[1,2,5,9,3,6,7,8,4]=>([(0,7),(4,3),(4,8),(5,2),(5,8),(6,1),(7,4),(7,5),(8,6)],9)
[1,4,9,2,5,6,7,8,3]=>([(0,6),(0,7),(4,1),(5,4),(6,3),(6,8),(7,2),(7,8),(8,5)],9)
[3,9,1,4,5,6,7,8,2]=>([(0,4),(0,8),(1,3),(1,8),(5,6),(6,2),(7,5),(8,7)],9)
[2,8,1,9,3,4,5,6,7]=>([(0,7),(0,8),(1,3),(1,8),(3,7),(4,6),(5,4),(6,2),(8,5)],9)
[1,4,2,3,6,5,8,7,9]=>([(0,1),(0,3),(1,2),(2,7),(2,8),(3,7),(3,8),(5,4),(6,4),(7,5),(7,6),(8,5),(8,6)],9)
[1,3,4,2,6,5,8,7,9]=>([(0,1),(0,3),(1,2),(2,7),(2,8),(3,7),(3,8),(5,4),(6,4),(7,5),(7,6),(8,5),(8,6)],9)
[2,3,1,4,6,5,8,7,9]=>([(0,2),(1,6),(2,6),(3,7),(3,8),(4,7),(4,8),(6,3),(6,4),(7,5),(8,5)],9)
[4,6,1,2,3,5,8,7,9]=>([(0,2),(1,4),(1,8),(2,3),(3,8),(4,6),(4,7),(6,5),(7,5),(8,6),(8,7)],9)
[3,4,5,1,6,2,8,7,9]=>([(0,2),(1,4),(1,8),(2,3),(3,8),(4,6),(4,7),(6,5),(7,5),(8,6),(8,7)],9)
[3,1,2,4,6,5,8,7,9]=>([(0,2),(1,6),(2,6),(3,7),(3,8),(4,7),(4,8),(6,3),(6,4),(7,5),(8,5)],9)
[2,1,3,4,5,6,9,7,8]=>([(0,8),(1,8),(4,7),(5,2),(6,4),(7,3),(7,5),(8,6)],9)
[1,2,3,4,5,7,8,6,9]=>([(0,6),(1,8),(2,8),(3,4),(4,7),(5,1),(6,3),(7,2),(7,5)],9)
[7,1,9,3,4,5,6,2,8]=>([(0,7),(0,8),(1,3),(1,6),(1,7),(2,8),(3,8),(4,5),(5,2),(6,4)],9)
[7,2,1,9,4,5,6,3,8]=>([(0,7),(0,8),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,8),(5,8),(6,3)],9)
[6,9,7,3,4,5,1,2,8]=>([(0,6),(1,7),(2,3),(2,5),(4,8),(5,8),(6,8),(7,4)],9)
[3,8,1,2,9,5,6,7,4]=>([(0,4),(1,3),(1,7),(1,8),(3,6),(4,6),(4,7),(4,8),(5,2),(8,5)],9)
[8,7,9,1,2,3,4,5,6]=>([(0,8),(1,8),(2,7),(4,6),(5,4),(6,3),(7,5)],9)
[7,2,3,1,9,5,6,4,8]=>([(0,7),(0,8),(1,5),(1,6),(1,7),(2,4),(3,8),(4,5),(4,6),(4,7),(5,8),(6,3)],9)
[6,1,2,7,4,5,9,3,8]=>([(0,7),(1,5),(2,8),(3,6),(3,8),(4,3),(5,2),(5,4),(5,7),(7,6),(7,8)],9)
[5,9,6,3,4,1,7,2,8]=>([(0,5),(1,6),(1,8),(2,3),(2,4),(4,8),(5,8),(6,7),(8,7)],9)
[3,8,1,4,2,9,6,7,5]=>([(0,3),(0,6),(1,4),(1,6),(3,8),(4,5),(4,7),(4,8),(6,5),(6,7),(6,8),(7,2)],9)
[9,7,2,3,8,5,6,1,4]=>([(1,4),(2,8),(3,7),(4,6),(4,7),(4,8),(6,5)],9)
[7,6,8,9,1,2,3,4,5]=>([(0,8),(1,8),(2,7),(5,6),(6,3),(7,5),(8,4)],9)
[5,4,6,7,8,9,1,2,3]=>([(0,8),(1,8),(2,6),(5,3),(6,4),(7,5),(8,7)],9)
[1,4,3,2,5,6,7,8,9]=>([(0,2),(0,3),(0,4),(2,8),(3,8),(4,8),(5,6),(6,1),(7,5),(8,7)],9)
[2,3,4,5,6,9,8,7,1]=>([(1,7),(5,6),(6,8),(7,5),(8,2),(8,3),(8,4)],9)
[2,3,4,5,8,7,9,6,1]=>([(1,6),(3,8),(4,8),(5,7),(6,5),(7,2),(7,3),(7,4)],9)
[2,3,6,5,7,8,9,4,1]=>([(1,7),(4,8),(5,8),(6,3),(7,2),(7,4),(7,5),(8,6)],9)
[3,4,5,6,7,1,2,8,9]=>([(0,7),(1,4),(2,8),(4,8),(5,6),(6,2),(7,5),(8,3)],9)
[2,3,5,1,4,7,6,9,8]=>([(0,2),(1,8),(2,3),(2,8),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7)],9)
[3,4,1,5,2,7,6,9,8]=>([(0,2),(1,3),(1,8),(2,8),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7)],9)
[4,1,2,5,3,7,6,9,8]=>([(0,2),(1,8),(2,3),(2,8),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7)],9)
[4,2,6,8,1,3,5,7,9]=>([(0,7),(1,6),(1,8),(2,7),(2,8),(3,4),(5,4),(6,5),(7,6),(8,3),(8,5)],9)
[4,6,2,8,1,3,5,7,9]=>([(0,8),(1,3),(1,7),(2,6),(2,8),(3,5),(3,6),(5,4),(6,4),(7,5),(8,7)],9)
[4,6,8,2,1,3,5,7,9]=>([(0,8),(1,8),(2,4),(2,7),(3,5),(4,3),(4,6),(6,5),(7,6),(8,7)],9)
[4,6,8,2,9,1,3,5,7]=>([(0,8),(1,4),(1,7),(2,6),(2,8),(3,6),(4,3),(4,5),(7,5),(8,7)],9)
[4,6,2,7,9,1,3,5,8]=>([(0,8),(1,4),(1,7),(2,6),(2,8),(4,6),(6,3),(6,5),(7,5),(8,7)],9)
[4,2,5,7,9,1,3,6,8]=>([(0,7),(1,8),(2,7),(2,8),(4,3),(4,5),(6,5),(7,6),(8,4),(8,6)],9)
[2,3,5,7,9,1,4,6,8]=>([(0,8),(1,4),(3,2),(3,7),(4,5),(4,8),(5,3),(5,6),(6,7),(8,6)],9)
[6,4,2,8,1,3,5,7,9]=>([(0,4),(1,4),(1,8),(2,6),(2,8),(3,7),(3,8),(4,7),(6,5),(7,6),(8,5)],9)
[8,4,6,2,1,3,5,7,9]=>([(0,5),(1,5),(2,6),(3,4),(3,7),(4,8),(5,7),(7,8),(8,6)],9)
[4,6,8,9,2,1,3,5,7]=>([(0,6),(1,6),(2,3),(2,8),(3,5),(3,7),(5,4),(6,8),(8,7)],9)
[4,6,2,7,1,3,5,8,9]=>([(0,8),(1,4),(1,7),(2,6),(2,8),(4,6),(5,3),(6,5),(7,5),(8,7)],9)
[4,8,2,5,9,1,3,6,7]=>([(0,7),(1,4),(1,8),(2,7),(2,8),(4,5),(6,3),(7,6),(8,5),(8,6)],9)
[6,2,3,7,9,1,4,5,8]=>([(0,7),(1,8),(2,3),(3,7),(3,8),(5,6),(7,5),(8,4),(8,6)],9)
[1,4,5,7,9,2,3,6,8]=>([(0,5),(0,6),(2,7),(3,1),(3,8),(4,3),(4,7),(5,4),(6,2),(7,8)],9)
[8,6,4,9,7,5,3,2,1]=>([(3,8),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[7,8,5,9,6,4,3,2,1]=>([(4,7),(5,6),(5,8),(7,8)],9)
[8,6,4,2,9,7,5,3,1]=>([(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8)],9)
[7,8,5,3,9,6,4,2,1]=>([(2,7),(2,8),(3,6),(4,5),(4,7),(4,8),(6,8)],9)
[7,4,8,5,9,6,3,2,1]=>([(3,7),(4,5),(4,7),(5,6),(5,8),(7,8)],9)
[6,7,8,4,9,5,3,2,1]=>([(3,6),(4,5),(4,8),(6,7),(7,8)],9)
[7,8,5,3,1,9,6,4,2]=>([(0,7),(0,8),(1,6),(1,7),(1,8),(2,5),(3,4),(3,6),(3,7),(3,8),(5,8)],9)
[7,4,8,5,2,9,6,3,1]=>([(1,6),(2,4),(2,7),(2,8),(3,5),(3,6),(5,7),(5,8),(6,8)],9)
[6,7,8,4,2,9,5,3,1]=>([(1,7),(1,8),(2,5),(3,4),(3,7),(3,8),(5,6),(6,8)],9)
[6,7,3,8,4,9,5,2,1]=>([(2,5),(3,4),(3,7),(4,6),(4,8),(5,7),(7,8)],9)
[5,6,7,8,3,9,4,2,1]=>([(2,5),(3,4),(3,8),(5,6),(6,7),(7,8)],9)
[6,7,3,8,4,1,9,5,2]=>([(0,4),(1,5),(1,7),(2,3),(2,6),(2,8),(4,7),(5,6),(5,8),(7,8)],9)
[5,6,7,8,3,1,9,4,2]=>([(0,7),(0,8),(1,6),(2,4),(2,7),(2,8),(3,8),(5,3),(6,5)],9)
[6,2,7,3,8,4,9,5,1]=>([(1,6),(2,3),(2,6),(3,5),(3,7),(5,4),(5,8),(6,7),(7,8)],9)
[5,6,7,2,8,3,9,4,1]=>([(1,6),(1,8),(2,5),(4,8),(5,4),(6,3),(6,7),(8,7)],9)
[4,5,6,7,8,2,9,3,1]=>([(1,7),(2,4),(2,8),(3,8),(5,6),(6,3),(7,5)],9)
[5,6,1,7,2,8,3,9,4]=>([(0,5),(0,8),(1,3),(3,8),(4,2),(4,7),(5,4),(5,6),(6,7),(8,6)],9)
[4,5,6,7,1,8,2,9,3]=>([(0,5),(1,6),(1,8),(3,8),(4,3),(5,4),(6,2),(6,7),(8,7)],9)
[2,3,4,5,9,6,7,8,1]=>([(1,7),(4,8),(5,6),(6,2),(7,4),(8,3),(8,5)],9)
[2,3,4,9,5,6,7,8,1]=>([(1,7),(4,6),(5,4),(6,2),(7,8),(8,3),(8,5)],9)
[2,3,9,4,5,6,7,8,1]=>([(1,8),(4,5),(5,7),(6,4),(7,2),(8,3),(8,6)],9)
[2,3,4,5,9,7,6,8,1]=>([(1,6),(3,8),(4,8),(5,7),(6,5),(7,2),(7,3),(7,4)],9)
[2,3,4,9,6,5,7,8,1]=>([(1,6),(3,8),(4,8),(6,7),(7,2),(7,3),(7,4),(8,5)],9)
[2,3,9,5,4,6,7,8,1]=>([(1,7),(4,8),(5,8),(6,3),(7,2),(7,4),(7,5),(8,6)],9)
[2,9,4,3,5,6,7,8,1]=>([(1,3),(1,4),(1,5),(4,8),(5,8),(6,2),(7,6),(8,7)],9)
[2,3,4,5,9,7,8,6,1]=>([(1,7),(5,8),(6,4),(7,5),(8,2),(8,3),(8,6)],9)
[2,1,8,3,4,5,6,7,9]=>([(0,7),(0,8),(1,7),(1,8),(2,6),(3,5),(4,3),(5,2),(7,6),(8,4)],9)
[1,9,6,2,3,4,5,8,7]=>([(0,2),(0,3),(0,6),(1,7),(1,8),(3,7),(3,8),(4,5),(5,1),(6,4)],9)
[9,8,7,4,5,6,3,2,1]=>([(6,7),(7,8)],9)
[1,5,6,7,8,9,2,3,4]=>([(0,7),(0,8),(3,5),(4,3),(5,2),(6,1),(7,6),(8,4)],9)
[1,7,2,8,9,3,4,5,6]=>([(0,3),(0,7),(3,8),(4,6),(5,4),(6,1),(7,5),(7,8),(8,2)],9)
[1,6,2,7,8,9,3,4,5]=>([(0,3),(0,7),(3,8),(4,5),(5,1),(6,2),(7,4),(7,8),(8,6)],9)
[1,5,2,6,7,8,9,3,4]=>([(0,3),(0,7),(3,8),(4,1),(5,2),(6,4),(7,5),(7,8),(8,6)],9)
[3,4,2,1,5,6,7,8,9]=>([(0,8),(1,8),(2,4),(4,8),(5,6),(6,3),(7,5),(8,7)],9)
[4,3,1,2,5,6,7,8,9]=>([(0,8),(1,8),(2,4),(4,8),(5,6),(6,3),(7,5),(8,7)],9)
[4,5,2,1,3,6,7,8,9]=>([(0,8),(1,8),(2,4),(4,7),(5,3),(6,5),(7,6),(8,7)],9)
[3,4,2,5,1,6,7,8,9]=>([(0,8),(1,7),(2,4),(4,7),(5,3),(6,5),(7,8),(8,6)],9)
[5,3,1,2,4,6,7,8,9]=>([(0,8),(1,7),(2,4),(4,7),(5,3),(6,5),(7,8),(8,6)],9)
[4,3,5,1,2,6,7,8,9]=>([(0,8),(1,8),(2,4),(4,7),(5,3),(6,5),(7,6),(8,7)],9)
[5,4,3,1,2,6,7,8,9]=>([(0,8),(1,8),(2,8),(3,4),(4,8),(5,6),(6,7),(8,5)],9)
[6,5,4,3,1,2,7,8,9]=>([(0,8),(1,8),(2,8),(3,8),(4,5),(5,8),(6,7),(8,6)],9)
[8,5,4,3,9,1,2,6,7]=>([(0,7),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,5),(5,8),(8,6)],9)
[2,3,4,5,9,7,1,8,6]=>([(0,7),(0,8),(1,5),(3,7),(4,6),(5,4),(6,2),(6,3),(6,8)],9)
[2,3,4,9,6,7,1,8,5]=>([(0,7),(0,8),(1,5),(3,7),(4,3),(5,6),(6,2),(6,4),(6,8)],9)
[2,3,9,5,6,1,7,8,4]=>([(0,7),(0,8),(1,6),(4,8),(5,4),(6,3),(6,5),(6,7),(8,2)],9)
[2,3,9,5,1,7,4,8,6]=>([(0,3),(1,7),(1,8),(3,2),(3,4),(3,8),(4,6),(4,7),(7,5),(8,5),(8,6)],9)
[2,1,3,4,5,6,8,7,9]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,2),(6,3),(8,4)],9)
[2,3,4,5,6,8,7,9,1]=>([(1,6),(2,8),(3,8),(4,5),(5,7),(6,4),(7,2),(7,3)],9)
[8,6,5,4,3,2,7,9,1]=>([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(8,7)],9)
[8,9,5,4,3,2,1,6,7]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(8,7)],9)
[7,6,5,4,3,8,9,1,2]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(8,7)],9)
[9,6,5,4,3,2,7,1,8]=>([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(8,7)],9)
[9,2,3,4,5,6,1,7,8]=>([(1,8),(2,7),(3,8),(5,6),(6,3),(7,5),(8,4)],9)
[3,1,5,6,7,8,9,2,4]=>([(0,7),(0,8),(1,3),(1,8),(3,7),(4,6),(5,4),(6,2),(8,5)],9)
[2,1,3,5,6,7,8,9,4]=>([(0,8),(1,8),(4,6),(5,4),(6,2),(7,5),(8,3),(8,7)],9)
[3,4,5,6,7,9,1,2,8]=>([(0,7),(1,3),(3,8),(4,6),(5,4),(6,2),(6,8),(7,5)],9)
[3,4,5,7,8,9,1,2,6]=>([(0,7),(1,3),(3,8),(4,5),(5,2),(6,4),(6,8),(7,6)],9)
[3,5,6,7,8,9,1,2,4]=>([(0,3),(1,7),(1,8),(3,8),(4,6),(5,4),(6,2),(7,5)],9)
[3,4,5,6,9,1,2,7,8]=>([(0,7),(1,4),(4,8),(5,6),(6,2),(6,8),(7,5),(8,3)],9)
[3,4,5,6,1,2,7,8,9]=>([(0,7),(1,4),(3,8),(4,8),(5,3),(6,2),(7,5),(8,6)],9)
[5,1,6,7,8,9,2,3,4]=>([(0,8),(1,6),(1,8),(4,2),(5,3),(6,4),(7,5),(8,7)],9)
[1,2,5,6,7,3,8,9,4]=>([(0,7),(2,8),(4,5),(5,2),(6,1),(6,8),(7,4),(7,6),(8,3)],9)
[1,2,4,3,5,7,8,9,6]=>([(0,7),(2,8),(3,8),(5,1),(6,5),(7,2),(7,3),(8,4),(8,6)],9)
[3,1,2,4,5,6,7,9,8]=>([(0,8),(1,4),(4,8),(5,7),(6,5),(7,2),(7,3),(8,6)],9)
[9,8,7,1,5,6,4,3,2]=>([(3,5),(3,6),(3,7),(3,8),(8,4)],9)
[9,1,7,8,6,5,4,3,2]=>([(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(8,2)],9)
[1,3,4,5,6,7,2,9,8]=>([(0,2),(0,6),(1,7),(1,8),(2,7),(2,8),(3,5),(4,3),(5,1),(6,4)],9)
[3,4,5,6,7,1,9,2,8]=>([(0,6),(1,3),(1,8),(2,7),(2,8),(3,7),(4,5),(5,2),(6,4)],9)
[3,2,4,1,6,5,8,7,9]=>([(0,8),(1,8),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7)],9)
[4,2,5,1,6,3,8,7,9]=>([(0,6),(1,6),(1,8),(2,7),(2,8),(4,3),(5,3),(6,7),(7,4),(7,5),(8,4),(8,5)],9)
[4,2,6,1,7,3,8,5,9]=>([(0,6),(0,7),(1,5),(1,8),(2,7),(2,8),(4,3),(5,4),(6,3),(7,5),(8,4),(8,6)],9)
[4,2,6,1,8,3,9,5,7]=>([(0,7),(0,8),(1,6),(1,8),(2,5),(2,7),(5,3),(6,4),(7,3),(7,6),(8,4),(8,5)],9)
[4,2,6,1,7,3,5,9,8]=>([(0,6),(0,8),(1,5),(1,7),(2,5),(2,6),(5,8),(6,7),(7,3),(7,4),(8,3),(8,4)],9)
[4,2,5,1,3,7,6,9,8]=>([(0,8),(1,7),(2,7),(2,8),(5,3),(5,4),(6,3),(6,4),(7,5),(7,6),(8,5),(8,6)],9)
[3,2,5,4,6,1,8,7,9]=>([(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,8),(7,8),(8,4),(8,5)],9)
[4,2,5,1,7,6,8,3,9]=>([(0,8),(1,7),(1,8),(2,5),(2,6),(2,7),(4,3),(5,4),(6,4),(7,3),(8,5),(8,6)],9)
[4,2,6,1,7,3,9,8,5]=>([(0,7),(0,8),(1,5),(1,6),(2,6),(2,8),(6,7),(7,3),(7,4),(8,3),(8,4),(8,5)],9)
[4,2,6,1,7,3,5,8,9]=>([(0,6),(0,8),(1,5),(1,7),(2,7),(2,8),(4,3),(5,4),(6,4),(7,6),(8,5)],9)
[4,2,5,1,3,8,9,6,7]=>([(0,8),(1,7),(2,7),(2,8),(5,4),(6,3),(7,5),(7,6),(8,5),(8,6)],9)
[3,2,1,6,7,4,5,9,8]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,5),(3,6),(4,5),(4,6),(7,4),(8,3)],9)
[1,4,5,2,3,7,6,9,8]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1),(5,7),(5,8),(6,7),(6,8)],9)
[2,3,4,8,6,7,9,5,1]=>([(1,6),(3,8),(4,8),(5,4),(6,7),(7,2),(7,3),(7,5)],9)
[2,3,8,5,6,7,9,1,4]=>([(0,8),(1,6),(2,7),(3,7),(4,5),(5,3),(6,2),(6,4),(6,8)],9)
[2,8,4,5,6,7,9,3,1]=>([(1,2),(1,4),(1,7),(3,8),(4,8),(5,6),(6,3),(7,5)],9)
[8,3,4,5,6,7,9,2,1]=>([(2,4),(3,8),(4,7),(5,8),(6,5),(7,6)],9)
[2,3,4,5,7,9,1,8,6]=>([(0,7),(0,8),(1,4),(3,5),(4,3),(5,6),(5,8),(6,2),(6,7)],9)
[2,3,4,6,7,1,9,5,8]=>([(0,7),(0,8),(1,4),(2,6),(2,8),(3,2),(4,5),(5,3),(5,7),(7,6)],9)
[2,3,5,6,1,7,9,4,8]=>([(0,7),(0,8),(1,5),(3,8),(4,3),(5,4),(5,7),(7,6),(8,2),(8,6)],9)
[2,4,5,1,6,7,9,8,3]=>([(0,7),(0,8),(1,5),(1,8),(4,7),(5,4),(6,2),(6,3),(7,6)],9)
[3,4,1,5,6,7,9,2,8]=>([(0,3),(1,4),(1,8),(3,8),(4,7),(5,6),(6,2),(6,7),(8,5)],9)
[3,2,4,5,6,7,9,1,8]=>([(0,8),(1,8),(2,7),(4,6),(5,4),(6,3),(6,7),(8,5)],9)
[2,3,4,7,6,9,8,5,1]=>([(1,5),(3,7),(3,8),(4,7),(4,8),(5,6),(6,2),(6,3),(6,4)],9)
[2,3,4,6,9,1,7,8,5]=>([(0,7),(0,8),(1,4),(4,5),(5,6),(5,7),(6,2),(6,8),(8,3)],9)
[2,5,4,6,8,7,9,1,3]=>([(0,7),(1,2),(1,3),(1,7),(2,8),(3,8),(4,6),(5,6),(8,4),(8,5)],9)
[2,3,5,7,1,6,9,4,8]=>([(0,6),(0,7),(1,4),(2,5),(2,8),(3,2),(3,7),(4,3),(4,6),(6,8),(7,5),(7,8)],9)
[4,3,5,8,6,7,9,2,1]=>([(2,7),(3,7),(4,8),(5,6),(6,8),(7,4),(7,5)],9)
[2,4,6,1,5,7,9,3,8]=>([(0,4),(0,8),(1,6),(1,8),(3,7),(4,3),(4,6),(6,7),(7,2),(7,5),(8,5)],9)
[2,4,8,5,6,7,9,1,3]=>([(0,8),(1,6),(1,8),(2,7),(3,7),(4,5),(5,3),(6,2),(6,4)],9)
[3,5,1,4,6,7,9,8,2]=>([(0,5),(0,8),(1,4),(1,8),(5,7),(6,2),(6,3),(7,6),(8,7)],9)
[4,2,3,5,6,7,9,1,8]=>([(0,7),(1,8),(2,4),(4,7),(5,3),(5,8),(6,5),(7,6)],9)
[1,4,2,6,3,7,5,9,8]=>([(0,1),(0,3),(1,2),(1,6),(2,7),(2,8),(3,6),(3,7),(6,8),(7,4),(7,5),(8,4),(8,5)],9)
[1,3,2,6,4,7,5,9,8]=>([(0,2),(0,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(6,8),(7,1),(7,8),(8,4),(8,5)],9)
[2,1,6,3,7,4,8,5,9]=>([(0,7),(0,8),(1,7),(1,8),(2,3),(2,6),(3,4),(5,6),(6,4),(7,5),(8,2),(8,5)],9)
[6,5,4,3,2,7,1,8,9]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(7,6),(8,7)],9)
[5,4,3,2,6,1,7,8,9]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(7,5),(8,7)],9)
[4,3,2,5,1,6,7,8,9]=>([(0,8),(1,8),(2,8),(3,7),(4,6),(6,5),(7,4),(8,7)],9)
[3,2,4,1,5,6,7,8,9]=>([(0,8),(1,7),(2,7),(4,6),(5,4),(6,3),(7,8),(8,5)],9)
[1,3,5,2,7,4,6,9,8]=>([(0,1),(0,3),(1,2),(1,6),(2,7),(2,8),(3,6),(3,7),(6,8),(7,4),(7,5),(8,4),(8,5)],9)
[1,2,4,3,6,5,8,7,9]=>([(0,1),(1,2),(1,3),(2,7),(2,8),(3,7),(3,8),(5,4),(6,4),(7,5),(7,6),(8,5),(8,6)],9)
[1,3,5,7,2,4,6,9,8]=>([(0,2),(0,4),(1,6),(1,7),(2,5),(3,1),(3,8),(4,3),(4,5),(5,8),(8,6),(8,7)],9)
[1,3,5,7,2,9,4,6,8]=>([(0,2),(0,4),(1,5),(1,7),(2,5),(2,6),(3,1),(3,8),(4,3),(4,6),(6,8),(8,7)],9)
[5,6,2,1,3,7,4,8,9]=>([(0,6),(1,6),(2,5),(4,8),(5,7),(6,4),(6,7),(7,8),(8,3)],9)
[3,2,5,1,6,4,7,8,9]=>([(0,6),(0,8),(1,5),(1,8),(2,5),(2,8),(3,4),(5,6),(6,7),(7,3),(8,7)],9)
[6,7,2,1,8,3,4,9,5]=>([(0,6),(0,8),(1,6),(1,8),(2,3),(3,8),(4,5),(4,7),(6,4),(8,7)],9)
[3,6,4,1,7,2,8,5,9]=>([(0,4),(0,8),(1,2),(1,3),(2,8),(3,5),(3,8),(4,5),(4,6),(5,7),(6,7),(8,6)],9)
[3,6,7,2,1,4,8,5,9]=>([(0,8),(1,8),(2,3),(2,8),(3,5),(4,7),(5,6),(6,7),(8,4),(8,6)],9)
[4,2,6,1,7,5,3,8,9]=>([(0,4),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(4,6),(5,8),(6,8),(7,8),(8,3)],9)
[4,3,2,6,1,7,5,8,9]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,5),(3,8),(5,6),(6,4),(7,5),(8,6)],9)
[4,7,2,5,1,8,3,9,6]=>([(0,7),(0,8),(1,3),(1,6),(2,6),(2,7),(3,8),(6,4),(6,8),(7,4),(7,5),(8,5)],9)
[4,3,7,8,2,1,5,9,6]=>([(0,8),(1,8),(2,6),(2,8),(3,6),(3,8),(5,7),(6,5),(8,4),(8,7)],9)
[3,5,2,7,1,8,6,4,9]=>([(0,5),(0,6),(0,8),(1,4),(1,6),(1,8),(2,3),(2,6),(3,5),(3,8),(4,7),(5,4),(6,7),(8,7)],9)
[5,4,3,2,7,1,8,6,9]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,5),(4,8),(5,6),(7,5),(8,6)],9)
[6,4,2,8,1,9,7,5,3]=>([(0,7),(0,8),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,8),(7,4)],9)
[4,3,6,2,8,1,9,7,5]=>([(0,4),(0,8),(1,4),(1,8),(2,5),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(6,5)],9)
[6,5,4,3,2,8,1,9,7]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,6),(5,8),(7,6)],9)
[3,1,2,9,4,5,6,7,8]=>([(0,7),(0,8),(1,3),(3,7),(3,8),(4,6),(5,4),(6,2),(8,5)],9)
[4,1,2,3,9,5,6,7,8]=>([(0,7),(0,8),(1,6),(3,7),(3,8),(4,5),(5,2),(6,3),(8,4)],9)
[5,1,2,3,4,9,6,7,8]=>([(0,7),(0,8),(1,6),(3,7),(3,8),(4,3),(5,2),(6,4),(8,5)],9)
[6,1,2,3,4,5,9,7,8]=>([(0,7),(0,8),(1,6),(2,7),(2,8),(4,5),(5,2),(6,4),(8,3)],9)
[3,4,1,2,9,5,6,7,8]=>([(0,4),(1,3),(3,7),(3,8),(4,7),(4,8),(5,2),(6,5),(8,6)],9)
[4,5,1,2,3,9,6,7,8]=>([(0,6),(1,4),(3,7),(3,8),(4,7),(4,8),(5,2),(6,3),(8,5)],9)
[5,6,1,2,3,4,9,7,8]=>([(0,6),(1,4),(3,7),(3,8),(4,7),(4,8),(5,3),(6,5),(8,2)],9)
[6,7,1,2,3,4,5,9,8]=>([(0,6),(1,3),(2,7),(2,8),(3,7),(3,8),(4,5),(5,2),(6,4)],9)
[9,7,5,3,1,8,6,4,2]=>([(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8)],9)
[9,6,3,8,5,2,7,4,1]=>([(2,7),(2,8),(3,6),(3,8),(4,5),(4,6),(4,7),(5,8)],9)
[8,5,2,9,6,3,7,4,1]=>([(1,8),(2,6),(2,8),(3,4),(3,6),(3,8),(4,5),(4,7),(6,7)],9)
[9,5,1,6,2,7,3,8,4]=>([(1,6),(2,3),(2,6),(3,5),(3,7),(5,4),(5,8),(6,7),(7,8)],9)
[9,5,1,8,4,7,3,6,2]=>([(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(4,8),(5,7),(5,8)],9)
[8,4,7,3,6,2,9,5,1]=>([(1,8),(2,7),(2,8),(3,6),(3,7),(4,5),(4,6),(4,7),(5,8),(6,8)],9)
[7,3,8,4,6,2,9,5,1]=>([(1,7),(1,8),(2,6),(3,4),(3,6),(4,5),(4,7),(5,8),(6,8)],9)
[9,4,7,2,5,8,3,6,1]=>([(2,5),(2,6),(3,4),(3,6),(4,7),(5,8),(6,7),(6,8)],9)
[9,4,6,1,8,3,5,7,2]=>([(1,5),(1,7),(2,3),(2,4),(2,6),(4,7),(5,6),(5,8),(7,8)],9)
[8,3,5,7,2,9,4,6,1]=>([(1,8),(2,6),(2,8),(3,4),(3,6),(4,5),(4,7),(5,8),(6,7)],9)
[7,2,8,3,9,4,5,6,1]=>([(1,8),(2,6),(2,8),(4,5),(5,3),(6,4),(6,7),(8,7)],9)
[8,3,7,2,9,4,5,6,1]=>([(1,8),(2,7),(2,8),(3,4),(3,7),(4,8),(5,6),(7,5)],9)
[5,8,3,7,2,9,4,6,1]=>([(1,5),(1,8),(2,5),(2,6),(3,4),(3,6),(3,7),(4,8),(5,7),(6,8)],9)
[4,5,6,9,3,8,2,7,1]=>([(1,4),(2,8),(3,7),(3,8),(4,6),(6,5),(6,7),(6,8)],9)
[4,5,6,8,2,9,3,7,1]=>([(1,6),(2,4),(2,8),(3,8),(4,7),(5,3),(5,7),(6,5)],9)
[9,3,6,5,4,7,1,8,2]=>([(1,3),(1,7),(2,4),(2,5),(2,6),(4,8),(5,8),(6,8),(8,7)],9)
[8,2,9,3,6,5,4,7,1]=>([(1,7),(2,6),(2,7),(3,8),(4,8),(5,8),(6,3),(6,4),(6,5)],9)
[6,5,4,8,2,9,3,7,1]=>([(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,5),(4,6),(5,8),(7,6)],9)
[5,6,4,8,2,9,3,7,1]=>([(1,7),(1,8),(2,5),(3,4),(3,6),(4,8),(5,7),(5,8),(7,6)],9)
[9,2,7,4,5,6,3,8,1]=>([(2,4),(2,5),(2,7),(3,8),(4,8),(5,8),(6,3),(7,6)],9)
[7,4,5,6,3,9,2,8,1]=>([(1,8),(2,7),(2,8),(3,7),(3,8),(4,5),(5,6),(6,7),(6,8)],9)
[5,7,4,6,3,9,2,8,1]=>([(1,8),(2,7),(2,8),(3,6),(4,5),(4,6),(5,7),(5,8),(6,7),(6,8)],9)
[4,2,5,6,7,8,9,1,3]=>([(0,8),(1,7),(2,7),(2,8),(4,6),(5,4),(6,3),(8,5)],9)
[5,6,7,9,1,2,3,4,8]=>([(0,6),(1,7),(3,8),(4,3),(5,2),(5,8),(6,4),(7,5)],9)
[4,5,6,7,9,1,2,3,8]=>([(0,6),(1,7),(3,8),(4,5),(5,2),(5,8),(6,4),(7,3)],9)
[1,6,5,7,4,8,3,9,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,7),(5,8),(6,8),(8,7)],9)
[5,4,6,3,8,2,7,1,9]=>([(0,8),(1,6),(1,8),(2,7),(3,5),(4,5),(5,6),(5,8),(6,7),(8,7)],9)
[3,4,5,6,7,8,2,1,9]=>([(0,8),(1,8),(2,7),(3,8),(4,6),(5,4),(6,3),(7,5)],9)
[4,5,6,7,8,1,2,3,9]=>([(0,7),(1,6),(2,8),(3,8),(4,5),(5,3),(6,4),(7,2)],9)
[4,3,1,2,6,5,8,7,9]=>([(0,7),(0,8),(1,7),(1,8),(2,3),(3,7),(3,8),(4,6),(5,6),(7,4),(7,5),(8,4),(8,5)],9)
[6,5,3,1,2,4,8,7,9]=>([(0,6),(1,7),(1,8),(2,7),(2,8),(3,4),(4,6),(6,7),(6,8),(7,5),(8,5)],9)
[8,7,5,3,1,2,4,6,9]=>([(0,7),(1,8),(2,8),(3,6),(4,5),(5,7),(6,8),(7,6)],9)
[7,5,3,1,2,4,6,9,8]=>([(0,5),(1,8),(2,6),(2,7),(3,4),(4,8),(5,6),(5,7),(8,5)],9)
[5,3,1,2,4,7,6,9,8]=>([(0,3),(1,8),(2,6),(2,7),(3,8),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7)],9)
[4,1,2,6,5,3,8,7,9]=>([(0,3),(1,4),(1,5),(2,7),(2,8),(3,2),(3,4),(3,5),(4,7),(4,8),(5,7),(5,8),(7,6),(8,6)],9)
[6,3,1,2,4,8,7,5,9]=>([(0,7),(1,5),(1,6),(2,3),(3,7),(4,8),(5,8),(6,8),(7,4),(7,5),(7,6)],9)
[8,5,3,1,2,4,6,9,7]=>([(0,7),(1,8),(2,6),(3,5),(5,8),(7,4),(7,6),(8,7)],9)
[7,5,3,1,2,4,6,8,9]=>([(0,7),(1,8),(2,6),(3,5),(5,8),(6,7),(7,4),(8,6)],9)
[5,3,1,2,4,9,7,6,8]=>([(0,3),(1,8),(2,5),(2,6),(2,7),(3,8),(6,4),(7,4),(8,5),(8,6),(8,7)],9)
[3,1,2,7,5,4,6,9,8]=>([(0,2),(1,5),(1,6),(1,8),(2,5),(2,6),(2,8),(5,7),(6,7),(7,3),(7,4),(8,3),(8,4)],9)
[1,5,3,2,4,7,6,9,8]=>([(0,1),(0,2),(0,3),(1,8),(2,8),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7)],9)
[1,7,6,5,4,3,2,9,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[1,4,5,6,7,8,9,3,2]=>([(0,2),(0,3),(0,8),(4,5),(5,7),(6,4),(7,1),(8,6)],9)
[9,8,7,6,5,2,1,3,4]=>([(5,8),(6,8),(8,7)],9)
[9,7,8,6,5,4,3,2,1]=>([(7,8)],9)
[3,2,5,6,7,8,9,1,4]=>([(0,8),(1,7),(1,8),(2,7),(2,8),(4,5),(5,3),(6,4),(7,6)],9)
[4,2,5,6,7,8,9,3,1]=>([(1,8),(2,4),(2,8),(5,6),(6,3),(7,5),(8,7)],9)
[1,3,4,5,6,7,2,8,9]=>([(0,3),(0,7),(1,8),(3,8),(4,6),(5,4),(6,1),(7,5),(8,2)],9)
[2,3,4,7,8,9,1,5,6]=>([(0,8),(1,6),(4,5),(5,2),(6,7),(7,4),(7,8),(8,3)],9)
[2,3,6,7,8,9,1,4,5]=>([(0,8),(1,7),(4,6),(5,4),(6,2),(7,5),(7,8),(8,3)],9)
[2,5,6,7,8,9,1,3,4]=>([(0,8),(1,7),(1,8),(4,6),(5,4),(6,2),(7,5),(8,3)],9)
[2,3,4,5,1,9,6,7,8]=>([(0,7),(0,8),(1,6),(3,7),(3,8),(4,3),(5,2),(6,4),(8,5)],9)
[2,3,4,1,8,9,5,6,7]=>([(0,7),(0,8),(1,5),(4,7),(4,8),(5,4),(6,2),(7,6),(8,3)],9)
[2,3,1,7,8,9,4,5,6]=>([(0,7),(0,8),(1,4),(4,7),(4,8),(5,3),(6,2),(7,5),(8,6)],9)
[2,1,6,7,8,9,3,4,5]=>([(0,7),(0,8),(1,7),(1,8),(4,3),(5,4),(6,2),(7,5),(8,6)],9)
[4,1,2,3,6,5,8,7,9]=>([(0,2),(1,7),(1,8),(2,3),(3,7),(3,8),(5,4),(6,4),(7,5),(7,6),(8,5),(8,6)],9)
[4,1,6,2,3,5,8,7,9]=>([(0,2),(0,8),(1,7),(1,8),(2,3),(3,7),(5,4),(6,4),(7,5),(7,6),(8,5),(8,6)],9)
[2,3,1,9,8,7,6,5,4]=>([(0,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8)],9)
[3,4,5,6,1,7,2,9,8]=>([(0,5),(1,3),(1,8),(2,8),(3,6),(3,7),(4,2),(5,4),(8,6),(8,7)],9)
[1,4,5,9,6,7,2,8,3]=>([(0,5),(0,6),(3,8),(4,3),(5,7),(6,1),(6,8),(7,2),(7,4)],9)
[2,4,5,9,6,1,7,3,8]=>([(0,7),(0,8),(1,4),(1,8),(3,7),(4,5),(5,2),(5,3),(7,6),(8,6)],9)
[3,4,5,7,6,1,9,2,8]=>([(0,4),(0,8),(1,5),(2,7),(2,8),(3,7),(3,8),(4,7),(5,6),(6,2),(6,3)],9)
[3,5,6,9,7,1,8,2,4]=>([(0,4),(0,7),(1,5),(1,8),(3,7),(4,8),(5,6),(6,2),(6,3)],9)
[1,4,8,5,6,2,7,9,3]=>([(0,5),(0,6),(2,8),(3,7),(4,3),(5,1),(5,7),(6,2),(6,4),(7,8)],9)
[2,5,9,6,7,3,1,4,8]=>([(0,8),(1,3),(1,6),(3,8),(4,7),(5,4),(6,2),(6,5),(8,7)],9)
[4,1,5,2,7,6,3,9,8]=>([(0,6),(1,3),(1,6),(2,7),(2,8),(3,2),(3,4),(3,5),(4,7),(4,8),(5,7),(5,8),(6,4),(6,5)],9)
[3,4,1,6,9,5,7,2,8]=>([(0,4),(1,3),(1,7),(1,8),(3,5),(4,7),(4,8),(6,5),(7,6),(8,2),(8,6)],9)
[6,7,9,8,1,3,4,2,5]=>([(0,7),(1,5),(1,6),(4,8),(5,8),(6,4),(7,2),(7,3)],9)
[9,1,5,2,8,6,3,7,4]=>([(1,3),(1,5),(3,6),(3,7),(4,2),(4,8),(5,4),(5,6),(5,7),(7,8)],9)
[1,7,4,5,2,6,8,9,3]=>([(0,4),(0,5),(0,6),(3,7),(4,8),(5,3),(6,1),(6,7),(7,8),(8,2)],9)
[6,8,9,1,2,3,4,5,7]=>([(0,6),(1,7),(1,8),(3,8),(4,3),(5,4),(6,5),(7,2)],9)
[5,8,9,1,2,3,4,6,7]=>([(0,7),(1,6),(1,8),(3,8),(5,3),(6,2),(7,5),(8,4)],9)
[2,3,4,5,1,7,6,9,8]=>([(0,3),(1,7),(1,8),(2,4),(3,2),(4,7),(4,8),(7,5),(7,6),(8,5),(8,6)],9)
[2,3,4,1,6,5,8,7,9]=>([(0,2),(1,7),(1,8),(2,3),(3,7),(3,8),(5,4),(6,4),(7,5),(7,6),(8,5),(8,6)],9)
[2,3,4,5,1,8,6,9,7]=>([(0,7),(0,8),(1,5),(3,7),(3,8),(4,3),(5,4),(7,6),(8,2),(8,6)],9)
[2,3,4,1,7,5,8,6,9]=>([(0,2),(1,7),(1,8),(2,4),(3,5),(4,7),(4,8),(6,5),(7,6),(8,3),(8,6)],9)
[3,4,5,6,7,9,1,8,2]=>([(0,7),(1,3),(1,8),(4,6),(5,4),(6,2),(6,8),(7,5)],9)
[3,4,5,6,7,9,2,8,1]=>([(1,8),(2,6),(4,5),(5,7),(6,4),(7,3),(7,8)],9)
[3,4,5,6,7,1,9,8,2]=>([(0,6),(1,3),(1,7),(1,8),(2,7),(2,8),(4,5),(5,2),(6,4)],9)
[5,3,4,2,1,9,8,7,6]=>([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,4),(4,5),(4,6),(4,7),(4,8)],9)
[6,5,3,4,2,1,9,8,7]=>([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(5,6),(5,7),(5,8)],9)
[7,6,4,5,3,2,1,9,8]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,6),(6,7),(6,8)],9)
[3,4,5,1,2,6,7,8,9]=>([(0,7),(1,4),(3,8),(4,8),(5,2),(6,5),(7,3),(8,6)],9)
[2,4,1,5,3,6,8,7,9]=>([(0,4),(0,8),(1,7),(1,8),(2,6),(3,6),(4,7),(5,2),(5,3),(7,5),(8,5)],9)
[2,4,1,7,3,8,5,6,9]=>([(0,3),(0,8),(1,7),(1,8),(2,5),(3,4),(3,7),(4,2),(6,5),(7,6),(8,4),(8,6)],9)
[8,5,9,3,6,1,2,4,7]=>([(0,5),(1,6),(1,8),(2,5),(2,6),(3,4),(4,8),(6,7),(8,7)],9)
[9,7,1,5,8,3,6,2,4]=>([(1,6),(2,3),(2,4),(2,5),(3,7),(4,6),(4,8),(5,7),(5,8)],9)
[9,7,5,4,1,3,8,2,6]=>([(1,7),(2,7),(2,8),(3,7),(3,8),(4,5),(4,6),(5,8),(6,7),(6,8)],9)
[9,6,5,4,3,2,1,7,8]=>([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(8,7)],9)
[9,8,5,4,3,2,1,6,7]=>([(2,8),(3,8),(4,8),(5,8),(6,8),(8,7)],9)
[9,1,2,3,4,5,8,7,6]=>([(1,7),(5,6),(6,8),(7,5),(8,2),(8,3),(8,4)],9)
[9,1,2,3,4,8,6,7,5]=>([(1,7),(5,8),(6,4),(7,5),(8,2),(8,3),(8,6)],9)
[9,1,2,8,4,5,6,7,3]=>([(1,8),(5,7),(6,4),(7,6),(8,2),(8,3),(8,5)],9)
[9,1,8,3,4,5,6,7,2]=>([(1,3),(1,4),(1,8),(5,7),(6,5),(7,2),(8,6)],9)
[9,1,2,3,4,7,8,6,5]=>([(1,7),(5,8),(6,4),(7,5),(8,2),(8,3),(8,6)],9)
[9,1,2,3,6,8,5,7,4]=>([(1,5),(4,8),(5,7),(6,2),(6,8),(7,3),(7,4),(7,6)],9)
[9,1,2,5,8,4,6,7,3]=>([(1,7),(4,8),(6,3),(6,8),(7,2),(7,4),(7,6),(8,5)],9)
[9,1,4,8,3,5,6,7,2]=>([(1,4),(1,5),(1,6),(5,8),(6,3),(6,8),(7,2),(8,7)],9)
[9,3,8,2,4,5,6,7,1]=>([(2,8),(3,4),(3,8),(5,6),(6,7),(8,5)],9)
[3,4,5,6,8,9,1,7,2]=>([(0,7),(1,3),(1,8),(4,6),(5,2),(6,5),(6,8),(7,4)],9)
[3,4,6,7,8,9,1,5,2]=>([(0,7),(1,3),(1,8),(4,6),(5,4),(6,2),(7,5),(7,8)],9)
[3,5,6,7,8,9,1,4,2]=>([(0,7),(0,8),(1,3),(1,8),(4,6),(5,4),(6,2),(7,5)],9)
[4,5,6,7,8,9,1,3,2]=>([(0,8),(1,3),(1,4),(5,6),(6,2),(7,5),(8,7)],9)
[5,4,2,3,6,7,8,9,1]=>([(1,8),(2,8),(3,4),(4,8),(5,6),(6,7),(8,5)],9)
[6,5,4,2,3,7,8,9,1]=>([(1,8),(2,8),(3,8),(4,5),(5,8),(6,7),(8,6)],9)
[7,6,5,4,2,3,8,9,1]=>([(1,8),(2,8),(3,8),(4,8),(5,6),(6,8),(8,7)],9)
[4,6,7,8,9,1,2,3,5]=>([(0,6),(1,7),(1,8),(3,8),(4,5),(5,2),(6,3),(7,4)],9)
[5,7,8,9,1,2,3,4,6]=>([(0,6),(1,7),(1,8),(3,8),(4,3),(5,2),(6,4),(7,5)],9)
[8,7,5,4,6,3,2,9,1]=>([(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[8,7,4,6,5,3,2,9,1]=>([(1,8),(2,8),(3,8),(4,8),(5,6),(5,7),(6,8),(7,8)],9)
[2,3,4,5,6,1,9,8,7]=>([(0,6),(0,7),(0,8),(1,5),(2,6),(2,7),(2,8),(3,4),(4,2),(5,3)],9)
[2,3,4,5,1,9,8,7,6]=>([(0,3),(1,5),(1,6),(1,7),(1,8),(2,4),(3,2),(4,5),(4,6),(4,7),(4,8)],9)
[8,9,7,6,5,4,3,1,2]=>([(5,8),(6,7)],9)
[8,6,7,5,4,3,2,1,9]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[8,7,9,6,5,4,3,1,2]=>([(4,8),(5,8),(6,7)],9)
[9,7,8,6,5,4,3,1,2]=>([(5,8),(6,7)],9)
[8,7,5,4,3,6,9,2,1]=>([(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9)
[8,7,6,9,5,3,4,2,1]=>([(3,8),(4,8),(5,8),(6,7)],9)
[8,7,9,6,5,4,2,3,1]=>([(4,8),(5,8),(6,7)],9)
[3,2,1,5,6,7,8,9,4]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(4,6),(5,4),(6,3),(8,5)],9)
[3,2,6,1,4,7,8,9,5]=>([(0,8),(1,6),(1,8),(2,6),(2,8),(3,5),(6,7),(7,3),(8,4),(8,7)],9)
[4,3,2,1,6,7,8,9,5]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(6,5),(8,4)],9)
[3,2,7,8,1,4,5,9,6]=>([(0,8),(1,6),(1,8),(2,6),(2,8),(3,5),(3,7),(4,7),(6,4),(8,3)],9)
[4,7,2,5,1,3,8,9,6]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,8),(5,7),(5,8),(6,7),(6,8),(8,4)],9)
[4,3,2,7,1,5,8,9,6]=>([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(6,5),(7,6),(8,4),(8,6)],9)
[5,4,3,2,1,7,8,9,6]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,6),(8,5)],9)
[4,3,2,8,9,1,5,6,7]=>([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(7,5),(8,4)],9)
[8,5,6,3,4,1,2,9,7]=>([(0,8),(1,6),(2,5),(3,4),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[5,3,8,2,6,1,4,9,7]=>([(0,6),(1,6),(1,7),(2,4),(2,7),(3,4),(3,6),(3,7),(4,8),(6,5),(6,8),(7,5),(7,8)],9)
[5,4,3,2,8,1,6,9,7]=>([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(7,6),(8,5),(8,6)],9)
[6,5,4,3,2,1,8,9,7]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(8,6)],9)
[6,9,4,7,2,5,1,3,8]=>([(0,6),(1,5),(1,6),(2,5),(2,7),(3,4),(3,7),(5,8),(6,8),(7,8)],9)
[6,4,3,9,2,7,1,5,8]=>([(0,8),(1,7),(1,8),(2,6),(2,7),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(7,5),(8,5)],9)
[6,5,4,3,2,9,1,7,8]=>([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(8,6)],9)
[2,3,4,9,6,7,8,5,1]=>([(1,7),(5,6),(6,4),(7,8),(8,2),(8,3),(8,5)],9)
[2,3,9,5,6,7,8,4,1]=>([(1,8),(5,7),(6,4),(7,6),(8,2),(8,3),(8,5)],9)
[2,9,4,5,6,7,8,3,1]=>([(1,3),(1,4),(1,8),(5,7),(6,5),(7,2),(8,6)],9)
[9,3,4,5,6,7,8,2,1]=>([(3,8),(5,7),(6,5),(7,4),(8,6)],9)
[2,3,4,1,9,7,8,6,5]=>([(0,3),(1,5),(1,6),(1,7),(1,8),(3,4),(4,5),(4,6),(4,7),(4,8),(8,2)],9)
[2,3,1,9,6,7,8,5,4]=>([(0,4),(1,5),(1,6),(1,7),(1,8),(2,3),(4,5),(4,6),(4,7),(4,8),(8,2)],9)
[2,1,9,5,6,7,8,4,3]=>([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,4),(4,3),(8,2)],9)
[1,9,4,5,6,7,8,3,2]=>([(0,2),(0,3),(0,4),(0,8),(5,7),(6,1),(7,6),(8,5)],9)
[5,6,4,7,3,9,1,8,2]=>([(0,7),(1,6),(1,8),(2,5),(3,4),(3,8),(5,7),(7,6),(7,8)],9)
[5,6,4,9,1,8,2,7,3]=>([(0,6),(0,7),(0,8),(1,4),(2,3),(2,7),(3,5),(3,8),(4,6),(4,7),(4,8)],9)
[5,9,1,8,2,7,3,6,4]=>([(0,5),(0,8),(1,3),(1,6),(1,7),(1,8),(4,2),(4,7),(5,4),(5,6)],9)
[9,1,8,2,7,3,6,4,5]=>([(1,5),(1,8),(6,4),(7,3),(7,6),(8,2),(8,7)],9)
[5,4,9,1,8,2,7,3,6]=>([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,3),(2,6),(3,4),(3,8),(4,7)],9)
[5,4,6,3,9,1,8,2,7]=>([(0,6),(0,7),(0,8),(1,5),(2,5),(3,4),(3,7),(4,8),(5,6),(5,7),(5,8)],9)
[5,4,6,3,7,2,9,1,8]=>([(0,5),(1,5),(2,8),(3,7),(4,6),(4,8),(5,7),(7,6),(7,8)],9)
[5,6,4,8,2,9,1,7,3]=>([(0,7),(0,8),(1,5),(1,8),(2,5),(2,6),(2,8),(3,4),(4,7),(4,8),(7,6)],9)
[5,7,3,9,1,8,2,6,4]=>([(0,5),(0,6),(0,7),(0,8),(1,4),(1,8),(2,3),(2,7),(3,5),(3,8),(4,6),(4,7)],9)
[6,4,9,1,8,2,7,3,5]=>([(0,5),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,3),(2,7),(3,4),(3,8),(4,6)],9)
[4,5,9,1,8,2,7,3,6]=>([(0,5),(1,4),(1,8),(3,6),(4,3),(4,7),(5,2),(5,6),(5,7),(5,8)],9)
[6,4,5,3,9,1,8,2,7]=>([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,5),(3,4),(3,7),(4,8),(5,6),(5,7),(5,8)],9)
[5,4,7,3,6,2,9,1,8]=>([(0,8),(1,7),(1,8),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(5,8),(6,7),(6,8)],9)
[9,8,3,4,5,6,7,1,2]=>([(2,8),(3,5),(6,7),(7,4),(8,6)],9)
[9,8,2,3,4,5,6,1,7]=>([(2,4),(3,8),(4,7),(5,8),(6,5),(7,6)],9)
[9,4,5,6,7,8,2,1,3]=>([(1,4),(2,8),(3,8),(4,7),(6,5),(7,6)],9)
[9,3,4,5,6,7,2,1,8]=>([(1,4),(2,8),(3,8),(4,7),(5,8),(6,5),(7,6)],9)
[7,2,9,8,3,4,5,6,1]=>([(1,7),(1,8),(2,6),(2,7),(2,8),(4,5),(5,3),(6,4)],9)
[9,8,2,3,4,5,1,6,7]=>([(2,8),(3,4),(4,6),(6,7),(7,8),(8,5)],9)
[9,5,6,7,8,2,1,3,4]=>([(1,8),(2,8),(3,4),(4,6),(6,7),(8,5)],9)
[8,3,9,4,5,6,7,2,1]=>([(2,8),(3,4),(3,8),(4,7),(6,5),(7,6)],9)
[9,3,4,5,6,2,1,7,8]=>([(1,8),(2,8),(3,4),(4,6),(6,7),(7,8),(8,5)],9)
[1,6,2,7,3,8,4,9,5]=>([(0,2),(0,5),(2,6),(3,4),(3,8),(4,1),(4,7),(5,3),(5,6),(6,8),(8,7)],9)
[6,7,1,9,2,3,4,5,8]=>([(0,6),(0,8),(1,3),(2,7),(3,7),(3,8),(4,5),(5,2),(6,4)],9)
[6,1,8,9,2,3,4,5,7]=>([(0,7),(0,8),(1,6),(1,8),(2,7),(4,5),(5,2),(6,4),(8,3)],9)
[3,4,5,2,1,6,7,8,9]=>([(0,8),(1,8),(2,6),(4,8),(5,3),(6,4),(7,5),(8,7)],9)
[3,4,5,8,9,1,2,6,7]=>([(0,7),(1,4),(4,8),(5,2),(6,5),(6,8),(7,6),(8,3)],9)
[3,4,7,8,9,1,2,5,6]=>([(0,7),(1,4),(4,8),(5,6),(6,2),(7,5),(7,8),(8,3)],9)
[3,6,7,8,9,1,2,4,5]=>([(0,4),(1,7),(1,8),(4,8),(5,6),(6,2),(7,5),(8,3)],9)
[3,4,5,6,1,7,2,8,9]=>([(0,6),(1,4),(1,7),(3,7),(4,8),(5,3),(6,5),(7,8),(8,2)],9)
[3,4,5,1,6,2,7,8,9]=>([(0,6),(1,4),(1,8),(2,8),(4,7),(5,3),(6,2),(7,5),(8,7)],9)
[3,4,1,5,9,2,6,7,8]=>([(0,4),(1,5),(1,8),(4,8),(5,7),(6,3),(7,6),(8,2),(8,7)],9)
[1,3,7,8,9,2,4,5,6]=>([(0,3),(0,7),(3,8),(4,5),(5,1),(6,2),(7,4),(7,8),(8,6)],9)
[2,6,7,8,9,1,3,4,5]=>([(0,8),(1,6),(1,8),(4,5),(5,2),(6,4),(7,3),(8,7)],9)
[4,3,5,2,6,1,7,8,9]=>([(0,7),(1,8),(2,6),(3,6),(4,5),(6,7),(7,8),(8,4)],9)
[4,5,3,6,2,7,1,8,9]=>([(0,7),(1,8),(2,6),(3,5),(5,8),(6,7),(7,4),(8,6)],9)
[1,3,5,7,2,8,4,9,6]=>([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(3,7),(4,3),(4,6),(5,8),(6,7),(6,8)],9)
[1,3,5,6,2,7,4,9,8]=>([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(4,3),(4,6),(5,7),(5,8),(6,7),(6,8)],9)
[1,3,4,5,2,7,6,9,8]=>([(0,2),(0,4),(1,5),(1,6),(2,5),(2,6),(3,1),(4,3),(5,7),(5,8),(6,7),(6,8)],9)
[3,5,7,1,2,4,6,9,8]=>([(0,3),(1,2),(1,7),(2,4),(2,8),(3,7),(4,5),(4,6),(7,8),(8,5),(8,6)],9)
[3,5,7,8,1,9,2,4,6]=>([(0,5),(0,8),(1,3),(1,7),(2,7),(3,8),(4,2),(5,4),(5,6),(8,6)],9)
[3,5,6,7,1,8,2,9,4]=>([(0,5),(0,8),(1,3),(1,7),(2,7),(3,6),(3,8),(4,2),(5,4),(7,6)],9)
[1,9,8,7,6,4,3,2,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(5,8),(6,8),(7,8)],9)
[1,9,8,7,5,4,3,2,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(4,8),(5,8),(6,8),(7,8)],9)
[1,9,8,6,5,4,3,2,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[1,9,7,6,5,4,3,2,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[1,9,8,7,6,5,2,3,4]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,8),(7,1),(8,7)],9)
[1,9,8,7,6,3,4,2,5]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(6,8),(7,1)],9)
[1,9,8,7,4,5,3,2,6]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(5,8),(6,8),(7,1)],9)
[1,9,8,5,6,4,3,2,7]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(4,8),(5,8),(6,8),(7,1)],9)
[1,9,6,7,5,4,3,2,8]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(3,8),(4,8),(5,8),(6,8),(7,1)],9)
[1,7,8,6,5,4,3,2,9]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,1)],9)
[8,9,2,3,4,5,6,1,7]=>([(0,8),(1,7),(2,4),(3,8),(5,6),(6,3),(7,5)],9)
[7,8,9,2,3,4,5,1,6]=>([(0,8),(1,6),(2,7),(4,8),(5,4),(6,5),(7,3)],9)
[6,7,8,9,2,3,4,1,5]=>([(0,8),(1,6),(2,7),(4,8),(5,3),(6,4),(7,5)],9)
[5,6,7,8,9,2,3,1,4]=>([(0,8),(1,7),(2,4),(4,8),(5,6),(6,3),(7,5)],9)
[7,8,9,2,3,4,1,5,6]=>([(0,8),(1,6),(2,7),(4,8),(6,3),(7,4),(8,5)],9)
[6,7,8,9,2,3,1,4,5]=>([(0,8),(1,7),(2,5),(5,8),(6,3),(7,6),(8,4)],9)
[4,5,6,7,8,1,9,2,3]=>([(0,6),(1,7),(1,8),(3,8),(4,3),(5,4),(6,5),(7,2)],9)
[7,9,3,4,5,6,2,1,8]=>([(0,8),(1,8),(2,5),(3,4),(3,8),(5,6),(6,7),(7,8)],9)
[3,9,2,1,5,6,7,8,4]=>([(0,7),(0,8),(1,7),(1,8),(2,4),(2,7),(2,8),(5,3),(6,5),(8,6)],9)
[3,8,1,4,5,6,7,2,9]=>([(0,4),(0,7),(1,3),(1,7),(2,8),(3,8),(4,8),(5,2),(6,5),(7,6)],9)
[6,9,3,4,5,2,7,1,8]=>([(0,8),(1,7),(2,5),(3,4),(3,8),(5,6),(6,8),(8,7)],9)
[3,9,2,4,1,6,7,8,5]=>([(0,7),(0,8),(1,6),(2,3),(2,6),(4,5),(6,7),(6,8),(8,4)],9)
[3,8,9,1,5,6,7,4,2]=>([(0,6),(0,7),(0,8),(1,4),(1,7),(1,8),(5,3),(6,2),(8,5)],9)
[3,7,1,4,5,6,2,8,9]=>([(0,5),(0,7),(1,4),(1,7),(2,8),(4,8),(5,8),(6,2),(7,6),(8,3)],9)
[2,8,7,6,5,4,3,1,9]=>([(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[2,1,4,9,8,7,6,5,3]=>([(0,7),(0,8),(1,7),(1,8),(8,2),(8,3),(8,4),(8,5),(8,6)],9)
[7,8,1,9,2,3,4,5,6]=>([(0,3),(1,7),(1,8),(3,8),(4,6),(5,4),(6,2),(7,5)],9)
[6,7,8,1,9,2,3,4,5]=>([(0,6),(1,7),(1,8),(3,8),(4,5),(5,2),(6,3),(7,4)],9)
[5,6,7,8,1,9,2,3,4]=>([(0,6),(1,7),(1,8),(3,8),(4,3),(5,2),(6,4),(7,5)],9)
[9,1,2,3,4,5,7,6,8]=>([(1,6),(2,8),(3,8),(4,5),(5,7),(6,4),(7,2),(7,3)],9)
[2,1,3,4,5,9,6,7,8]=>([(0,8),(1,8),(4,5),(5,2),(6,7),(7,3),(7,4),(8,6)],9)
[7,2,6,5,4,3,1,9,8]=>([(0,7),(0,8),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[3,2,1,9,5,8,7,6,4]=>([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(8,3),(8,4),(8,5)],9)
[6,3,5,4,2,1,9,8,7]=>([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[4,3,2,1,9,7,8,6,5]=>([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(8,4)],9)
[9,1,2,3,4,8,6,5,7]=>([(1,6),(3,8),(4,8),(5,7),(6,5),(7,2),(7,3),(7,4)],9)
[9,1,2,3,8,5,6,4,7]=>([(1,6),(3,8),(4,8),(5,4),(6,7),(7,2),(7,3),(7,5)],9)
[8,1,2,9,4,5,6,3,7]=>([(0,8),(1,6),(2,7),(3,7),(4,5),(5,3),(6,2),(6,4),(6,8)],9)
[9,1,8,3,4,5,6,2,7]=>([(1,2),(1,4),(1,7),(3,8),(4,8),(5,6),(6,3),(7,5)],9)
[7,1,2,3,4,9,5,8,6]=>([(0,7),(0,8),(1,4),(3,5),(4,3),(5,6),(5,8),(6,2),(6,7)],9)
[6,1,2,3,8,4,5,9,7]=>([(0,7),(0,8),(1,4),(2,6),(2,8),(3,2),(4,5),(5,3),(5,7),(7,6)],9)
[5,1,2,8,3,4,6,9,7]=>([(0,7),(0,8),(1,5),(3,8),(4,3),(5,4),(5,7),(7,6),(8,2),(8,6)],9)
[4,1,9,2,3,5,6,8,7]=>([(0,7),(0,8),(1,5),(1,8),(4,7),(5,4),(6,2),(6,3),(7,6)],9)
[3,8,1,2,4,5,6,9,7]=>([(0,3),(1,4),(1,8),(3,8),(4,7),(5,6),(6,2),(6,7),(8,5)],9)
[8,2,1,3,4,5,6,9,7]=>([(0,8),(1,8),(2,7),(4,6),(5,4),(6,3),(6,7),(8,5)],9)
[9,1,2,3,8,5,4,7,6]=>([(1,5),(3,7),(3,8),(4,7),(4,8),(5,6),(6,2),(6,3),(6,4)],9)
[6,1,2,3,9,4,7,8,5]=>([(0,7),(0,8),(1,4),(4,5),(5,6),(5,7),(6,2),(6,8),(8,3)],9)
[5,1,2,8,3,6,4,9,7]=>([(0,6),(0,7),(1,4),(2,5),(2,8),(3,2),(3,7),(4,3),(4,6),(6,8),(7,5),(7,8)],9)
[9,8,2,1,4,5,6,7,3]=>([(2,7),(2,8),(3,7),(3,8),(4,6),(6,5),(8,4)],9)
[4,1,8,2,5,3,6,9,7]=>([(0,4),(0,8),(1,6),(1,8),(3,7),(4,3),(4,6),(6,7),(7,2),(7,5),(8,5)],9)
[3,9,1,4,2,5,6,8,7]=>([(0,5),(0,8),(1,4),(1,8),(5,7),(6,2),(6,3),(7,6),(8,7)],9)
[8,2,3,1,4,5,6,9,7]=>([(0,7),(1,8),(2,4),(4,7),(5,3),(5,8),(6,5),(7,6)],9)
[2,3,4,5,7,8,1,9,6]=>([(0,7),(0,8),(1,5),(2,8),(3,6),(4,2),(5,3),(6,4),(6,7)],9)
[1,3,4,5,2,6,7,8,9]=>([(0,3),(0,7),(2,8),(3,8),(4,2),(5,1),(6,5),(7,4),(8,6)],9)
[2,3,4,5,7,9,1,6,8]=>([(0,8),(1,5),(3,4),(4,6),(4,8),(5,3),(6,2),(6,7),(8,7)],9)
[2,3,4,5,1,6,7,9,8]=>([(0,8),(1,6),(4,8),(5,4),(6,5),(7,2),(7,3),(8,7)],9)
[4,5,6,1,7,8,9,2,3]=>([(0,6),(1,7),(1,8),(4,8),(5,2),(6,4),(7,3),(8,5)],9)
[2,1,4,5,3,6,7,8,9]=>([(0,7),(0,8),(1,7),(1,8),(3,6),(4,2),(5,4),(6,5),(7,6),(8,3)],9)
[1,3,2,5,4,6,7,8,9]=>([(0,2),(0,3),(2,6),(2,7),(3,6),(3,7),(4,1),(5,4),(6,8),(7,8),(8,5)],9)
[4,1,6,2,8,3,5,7,9]=>([(0,3),(0,8),(1,7),(1,8),(2,7),(3,2),(3,6),(5,4),(6,4),(7,5),(8,5),(8,6)],9)
[4,1,6,2,8,3,9,5,7]=>([(0,2),(0,8),(1,6),(1,8),(2,3),(2,7),(3,5),(3,6),(6,4),(7,5),(8,4),(8,7)],9)
[4,1,6,2,7,3,8,5,9]=>([(0,2),(0,8),(1,6),(1,8),(2,3),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5),(8,7)],9)
[8,7,9,1,4,5,6,2,3]=>([(0,8),(1,8),(2,6),(2,7),(5,4),(6,5),(7,3)],9)
[7,6,9,1,4,5,2,8,3]=>([(0,7),(0,8),(1,7),(1,8),(2,5),(2,6),(4,8),(5,4),(6,3),(6,8)],9)
[3,9,2,4,5,6,7,8,1]=>([(1,8),(2,4),(2,8),(5,6),(6,3),(7,5),(8,7)],9)
[1,3,5,2,4,6,7,8,9]=>([(0,3),(0,6),(1,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8),(8,5)],9)
[4,1,2,3,5,6,8,7,9]=>([(0,8),(1,5),(2,8),(3,7),(4,7),(5,2),(6,3),(6,4),(8,6)],9)
[1,2,4,7,3,5,6,8,9]=>([(0,6),(1,8),(2,7),(4,7),(5,2),(5,8),(6,1),(6,5),(7,3),(8,4)],9)
[5,1,2,3,4,7,6,8,9]=>([(0,6),(0,7),(1,5),(3,6),(3,7),(4,3),(5,4),(6,8),(7,8),(8,2)],9)
[5,6,4,3,2,1,7,8,9]=>([(0,8),(1,8),(2,8),(3,8),(4,5),(5,8),(6,7),(8,6)],9)
[4,5,3,2,1,6,7,8,9]=>([(0,8),(1,8),(2,8),(3,4),(4,8),(5,6),(6,7),(8,5)],9)
[6,7,4,3,2,1,5,8,9]=>([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(7,6),(8,7)],9)
[5,6,4,3,2,7,1,8,9]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,8),(7,6),(8,7)],9)
[7,5,4,3,1,2,6,8,9]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,8),(7,6),(8,7)],9)
[6,5,4,3,7,1,2,8,9]=>([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(7,6),(8,7)],9)
[7,6,4,3,5,2,1,9,8]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(5,6),(6,7),(6,8)],9)
[7,6,3,5,4,2,1,9,8]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,5),(4,6),(5,7),(5,8),(6,7),(6,8)],9)
[9,8,6,1,2,3,4,5,7]=>([(2,4),(3,8),(4,7),(5,8),(6,5),(7,6)],9)
[9,8,7,5,1,2,3,4,6]=>([(3,5),(4,8),(5,7),(6,8),(7,6)],9)
[9,8,7,6,4,1,2,3,5]=>([(4,8),(5,6),(6,7),(7,8)],9)
[9,8,7,6,5,3,1,2,4]=>([(5,8),(6,7),(7,8)],9)
[9,8,4,7,6,5,3,2,1]=>([(5,6),(5,7),(5,8)],9)
[9,8,3,7,6,5,4,2,1]=>([(4,5),(4,6),(4,7),(4,8)],9)
[9,3,8,7,6,5,4,2,1]=>([(3,4),(3,5),(3,6),(3,7),(3,8)],9)
[9,2,8,7,6,5,4,3,1]=>([(2,3),(2,4),(2,5),(2,6),(2,7),(2,8)],9)
[9,8,4,6,5,7,3,2,1]=>([(5,6),(5,7),(6,8),(7,8)],9)
[9,8,3,6,5,4,7,2,1]=>([(4,5),(4,6),(4,7),(5,8),(6,8),(7,8)],9)
[9,3,7,6,5,4,8,2,1]=>([(3,4),(3,5),(3,6),(3,7),(4,8),(5,8),(6,8),(7,8)],9)
[9,2,7,6,5,4,3,8,1]=>([(2,3),(2,4),(2,5),(2,6),(2,7),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[9,2,3,4,1,5,6,7,8]=>([(1,8),(2,6),(4,8),(5,3),(6,4),(7,5),(8,7)],9)
[9,8,4,5,7,6,3,2,1]=>([(5,6),(6,7),(6,8)],9)
[9,8,5,4,6,7,3,2,1]=>([(5,8),(6,8),(8,7)],9)
[9,8,4,5,3,7,6,2,1]=>([(4,7),(4,8),(5,6),(6,7),(6,8)],9)
[9,8,3,5,7,6,4,2,1]=>([(4,5),(4,6),(6,7),(6,8)],9)
[9,8,5,4,6,3,7,2,1]=>([(4,8),(5,7),(6,7),(7,8)],9)
[9,8,4,3,6,7,5,2,1]=>([(4,7),(4,8),(5,7),(5,8),(8,6)],9)
[9,8,7,4,3,2,1,5,6]=>([(3,8),(4,8),(5,8),(6,8),(8,7)],9)
[9,8,7,6,3,2,1,4,5]=>([(4,8),(5,8),(6,8),(8,7)],9)
[7,8,9,1,3,4,5,6,2]=>([(0,8),(1,4),(1,7),(5,6),(6,2),(7,5),(8,3)],9)
[6,1,2,9,3,4,5,7,8]=>([(0,7),(0,8),(1,6),(2,8),(4,5),(5,2),(6,4),(6,7),(8,3)],9)
[4,1,2,3,5,9,6,7,8]=>([(0,8),(1,6),(3,8),(5,2),(6,3),(7,5),(8,4),(8,7)],9)
[3,1,2,4,5,6,9,7,8]=>([(0,8),(1,4),(4,8),(5,3),(6,7),(7,2),(7,5),(8,6)],9)
[1,3,4,2,5,6,7,8,9]=>([(0,3),(0,7),(2,8),(3,8),(4,5),(5,1),(6,4),(7,2),(8,6)],9)
[1,2,4,5,6,3,7,8,9]=>([(0,7),(2,8),(3,8),(4,5),(5,3),(6,1),(7,2),(7,4),(8,6)],9)
[1,2,3,5,6,7,8,4,9]=>([(0,6),(1,8),(2,8),(3,5),(4,3),(5,1),(6,7),(7,2),(7,4)],9)
[2,1,5,3,6,7,4,8,9]=>([(0,7),(0,8),(1,7),(1,8),(3,6),(4,6),(5,3),(6,2),(7,5),(8,4),(8,5)],9)
[1,3,5,6,4,2,7,8,9]=>([(0,4),(0,7),(2,8),(3,8),(4,8),(5,3),(6,1),(7,2),(7,5),(8,6)],9)
[3,5,2,1,6,4,7,8,9]=>([(0,7),(0,8),(1,7),(1,8),(2,3),(2,7),(3,8),(4,5),(6,4),(7,6),(8,6)],9)
[2,1,3,6,4,7,8,9,5]=>([(0,8),(1,8),(4,7),(5,3),(5,7),(6,2),(7,6),(8,4),(8,5)],9)
[1,3,4,6,7,2,8,5,9]=>([(0,2),(0,5),(1,7),(2,6),(2,7),(3,1),(4,3),(4,6),(5,4),(6,8),(7,8)],9)
[3,2,6,1,4,7,8,5,9]=>([(0,8),(1,5),(1,8),(2,5),(2,8),(3,7),(4,7),(5,6),(6,3),(8,4),(8,6)],9)
[2,4,6,1,7,5,3,8,9]=>([(0,5),(0,6),(0,7),(1,4),(1,7),(3,5),(4,3),(4,6),(5,8),(6,8),(7,8),(8,2)],9)
[4,6,3,2,1,7,5,8,9]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,4),(3,7),(4,8),(6,5),(7,6),(8,6)],9)
[2,4,1,7,5,8,3,9,6]=>([(0,2),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(5,4),(6,5),(7,3),(7,5),(8,3),(8,4)],9)
[4,3,7,2,1,5,8,9,6]=>([(0,8),(1,8),(2,6),(2,8),(3,6),(3,8),(6,7),(7,4),(8,5),(8,7)],9)
[1,3,5,7,8,6,4,2,9]=>([(0,4),(0,7),(1,8),(2,8),(3,8),(4,8),(5,3),(6,2),(6,5),(7,1),(7,6)],9)
[3,5,7,2,1,8,6,4,9]=>([(0,3),(0,7),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,4),(3,8),(4,6),(6,5),(7,5),(8,5)],9)
[5,7,4,3,2,1,8,6,9]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,5),(4,7),(5,8),(7,6),(8,6)],9)
[2,4,6,8,1,9,7,5,3]=>([(0,4),(0,8),(1,5),(1,6),(1,7),(1,8),(2,3),(2,7),(3,5),(4,2),(4,6)],9)
[4,6,8,3,2,1,9,7,5]=>([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,4),(3,6),(4,5),(4,8),(5,7)],9)
[6,8,5,4,3,2,1,9,7]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,6),(5,7),(6,8)],9)
[4,5,6,3,7,2,8,1,9]=>([(0,6),(1,7),(2,8),(3,4),(4,5),(5,6),(6,8),(8,7)],9)
[1,5,6,7,4,8,3,9,2]=>([(0,2),(0,3),(0,4),(0,6),(1,7),(3,8),(4,7),(5,1),(6,5),(7,8)],9)
[3,5,6,7,8,9,2,4,1]=>([(1,8),(2,7),(2,8),(4,6),(5,4),(6,3),(7,5)],9)
[2,4,6,7,8,9,1,3,5]=>([(0,8),(1,6),(1,8),(3,5),(4,3),(5,2),(6,4),(6,7),(8,7)],9)
[2,5,6,7,8,9,3,1,4]=>([(0,8),(1,3),(1,7),(3,8),(4,6),(5,4),(6,2),(7,5)],9)
[5,4,6,3,8,1,7,2,9]=>([(0,6),(0,7),(1,5),(2,5),(3,4),(3,7),(4,8),(5,6),(5,7),(6,8),(7,8)],9)
[1,6,5,7,4,9,2,8,3]=>([(0,2),(0,3),(0,4),(0,5),(2,7),(2,8),(3,6),(4,6),(5,1),(5,8),(6,7),(6,8)],9)
[5,4,8,1,7,2,6,3,9]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(3,4),(3,7),(4,8),(5,8),(6,8),(7,8)],9)
[5,4,8,1,6,3,7,2,9]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,8),(4,6),(5,8),(6,8),(7,6)],9)
[1,6,5,9,2,8,3,7,4]=>([(0,2),(0,3),(0,5),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,1),(4,8),(5,4),(5,7)],9)
[1,6,5,9,2,7,4,8,3]=>([(0,3),(0,4),(0,5),(2,7),(3,6),(3,8),(4,6),(4,8),(5,1),(5,2),(5,8),(8,7)],9)
[2,5,6,7,8,1,9,3,4]=>([(0,7),(0,8),(1,6),(1,8),(2,7),(4,5),(5,2),(6,4),(8,3)],9)
[4,5,6,7,1,2,8,3,9]=>([(0,5),(1,6),(2,8),(3,7),(4,3),(5,4),(6,2),(6,7),(7,8)],9)
[1,3,6,7,8,9,2,4,5]=>([(0,3),(0,7),(3,8),(4,6),(5,4),(6,1),(7,5),(7,8),(8,2)],9)
[3,5,6,7,8,1,2,9,4]=>([(0,6),(0,8),(1,3),(2,7),(3,7),(3,8),(4,5),(5,2),(6,4)],9)
[2,3,4,5,7,6,8,9,1]=>([(1,6),(2,8),(3,8),(5,7),(6,5),(7,2),(7,3),(8,4)],9)
[2,3,4,5,8,7,6,9,1]=>([(1,6),(2,8),(3,8),(4,8),(5,7),(6,5),(7,2),(7,3),(7,4)],9)
[1,2,3,4,7,9,5,6,8]=>([(0,6),(2,8),(3,7),(4,2),(5,1),(5,8),(6,3),(7,4),(7,5)],9)
[1,2,3,4,6,7,9,5,8]=>([(0,6),(2,8),(3,7),(4,5),(5,1),(5,8),(6,3),(7,2),(7,4)],9)
[1,2,3,4,8,5,6,9,7]=>([(0,6),(2,8),(3,7),(4,5),(5,1),(5,8),(6,3),(7,2),(7,4)],9)
[1,2,3,4,7,8,5,9,6]=>([(0,6),(2,8),(3,7),(4,2),(5,1),(5,8),(6,3),(7,4),(7,5)],9)
[8,7,9,6,5,4,2,1,3]=>([(3,8),(4,8),(5,7),(6,7)],9)
[8,9,7,6,5,4,2,1,3]=>([(4,8),(5,8),(6,7)],9)
[8,9,7,6,5,4,2,3,1]=>([(5,8),(6,7)],9)
[2,3,4,5,8,6,7,9,1]=>([(1,6),(2,8),(3,8),(4,7),(5,2),(6,4),(7,3),(7,5)],9)
[2,3,4,5,9,6,8,7,1]=>([(1,6),(5,8),(6,5),(7,3),(7,4),(8,2),(8,7)],9)
[9,3,4,5,2,6,7,8,1]=>([(2,8),(3,4),(4,7),(5,6),(7,8),(8,5)],9)
[2,1,3,4,5,8,6,7,9]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,3),(6,2),(6,5),(8,4)],9)
[9,2,3,4,5,1,6,7,8]=>([(1,8),(2,6),(4,8),(5,4),(6,5),(7,3),(8,7)],9)
[7,2,3,4,5,6,9,1,8]=>([(0,8),(1,7),(1,8),(2,6),(3,7),(3,8),(4,5),(5,3),(6,4)],9)
[6,2,3,4,5,9,1,7,8]=>([(0,8),(1,7),(1,8),(2,6),(4,7),(4,8),(5,4),(6,5),(8,3)],9)
[5,2,3,4,9,1,6,7,8]=>([(0,8),(1,7),(1,8),(2,5),(4,7),(4,8),(5,4),(6,3),(8,6)],9)
[4,2,3,9,1,5,6,7,8]=>([(0,8),(1,7),(1,8),(2,4),(4,7),(4,8),(5,3),(6,5),(8,6)],9)
[3,2,9,1,4,5,6,7,8]=>([(0,8),(1,7),(1,8),(2,7),(2,8),(4,5),(5,3),(6,4),(8,6)],9)
[4,5,6,7,8,1,3,9,2]=>([(0,7),(1,2),(1,4),(3,8),(4,8),(5,6),(6,3),(7,5)],9)
[4,5,3,6,7,8,9,1,2]=>([(0,8),(1,4),(2,5),(5,8),(6,3),(7,6),(8,7)],9)
[5,3,4,6,7,8,9,1,2]=>([(0,8),(1,4),(2,5),(5,8),(6,3),(7,6),(8,7)],9)
[9,5,4,3,2,1,6,7,8]=>([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(8,6)],9)
[1,2,3,7,4,8,5,9,6]=>([(0,5),(2,7),(3,1),(3,8),(4,3),(4,7),(5,6),(6,2),(6,4),(7,8)],9)
[1,2,3,4,7,5,9,8,6]=>([(0,5),(2,7),(2,8),(3,6),(4,1),(4,7),(4,8),(5,3),(6,2),(6,4)],9)
[1,2,6,3,7,4,9,8,5]=>([(0,5),(2,6),(3,4),(3,6),(4,1),(4,7),(4,8),(5,2),(5,3),(6,7),(6,8)],9)
[1,2,3,8,6,4,9,7,5]=>([(0,5),(2,8),(3,7),(3,8),(4,1),(4,7),(4,8),(5,6),(6,2),(6,3),(6,4)],9)
[1,2,3,6,4,9,8,7,5]=>([(0,4),(2,6),(2,7),(2,8),(3,1),(3,6),(3,7),(3,8),(4,5),(5,2),(5,3)],9)
[5,1,6,2,7,3,9,8,4]=>([(0,7),(1,3),(1,7),(3,4),(3,8),(4,2),(4,5),(4,6),(7,8),(8,5),(8,6)],9)
[1,5,2,8,6,3,9,7,4]=>([(0,2),(0,4),(2,5),(2,6),(3,1),(3,7),(3,8),(4,3),(4,5),(4,6),(5,8),(6,7),(6,8)],9)
[1,5,2,6,3,9,8,7,4]=>([(0,2),(0,4),(2,5),(3,1),(3,6),(3,7),(3,8),(4,3),(4,5),(5,6),(5,7),(5,8)],9)
[1,2,7,5,3,9,8,6,4]=>([(0,5),(2,7),(2,8),(3,6),(3,7),(3,8),(4,1),(4,6),(4,7),(4,8),(5,2),(5,3),(5,4)],9)
[1,2,5,3,9,8,7,6,4]=>([(0,4),(2,5),(2,6),(2,7),(2,8),(3,1),(3,5),(3,6),(3,7),(3,8),(4,2),(4,3)],9)
[4,1,7,5,2,9,8,6,3]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,2),(3,4),(3,7),(3,8),(5,7),(5,8),(6,4),(6,7),(6,8)],9)
[4,1,5,2,9,8,7,6,3]=>([(0,8),(1,3),(1,8),(3,2),(3,4),(3,5),(3,6),(3,7),(8,4),(8,5),(8,6),(8,7)],9)
[1,6,4,2,9,8,7,5,3]=>([(0,2),(0,3),(0,4),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,1),(4,5),(4,6),(4,7),(4,8)],9)
[1,4,2,9,8,7,6,5,3]=>([(0,2),(0,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,1),(3,4),(3,5),(3,6),(3,7),(3,8)],9)
[7,5,3,1,9,8,6,4,2]=>([(0,7),(0,8),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8)],9)
[5,3,1,9,8,7,6,4,2]=>([(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8)],9)
[1,2,3,4,5,8,9,7,6]=>([(0,7),(4,5),(5,8),(6,1),(7,4),(8,2),(8,3),(8,6)],9)
[1,2,3,4,8,9,6,7,5]=>([(0,7),(4,8),(5,2),(6,1),(7,4),(8,3),(8,5),(8,6)],9)
[1,2,3,8,9,5,6,7,4]=>([(0,7),(4,5),(5,1),(6,2),(7,8),(8,3),(8,4),(8,6)],9)
[1,2,8,9,4,5,6,7,3]=>([(0,8),(4,6),(5,4),(6,2),(7,1),(8,3),(8,5),(8,7)],9)
[1,4,2,5,6,7,9,8,3]=>([(0,4),(0,6),(4,8),(5,7),(6,1),(6,8),(7,2),(7,3),(8,5)],9)
[2,1,4,5,6,9,7,3,8]=>([(0,7),(0,8),(1,7),(1,8),(3,6),(4,5),(5,2),(5,3),(7,6),(8,4)],9)
[3,1,5,2,9,6,7,8,4]=>([(0,4),(0,8),(1,6),(1,8),(2,3),(4,5),(4,6),(4,7),(7,2),(8,5),(8,7)],9)
[4,5,1,6,8,7,9,2,3]=>([(0,5),(1,6),(1,8),(3,7),(4,7),(5,8),(6,2),(8,3),(8,4)],9)
[2,3,1,5,9,6,7,4,8]=>([(0,7),(0,8),(1,3),(3,7),(3,8),(4,6),(5,4),(7,6),(8,2),(8,5)],9)
[1,2,4,5,7,9,6,3,8]=>([(0,7),(2,8),(3,8),(4,6),(5,1),(5,8),(6,3),(6,5),(7,2),(7,4)],9)
[3,4,6,5,7,1,2,9,8]=>([(0,4),(1,5),(2,6),(3,6),(4,7),(4,8),(5,2),(5,3),(6,7),(6,8)],9)
[3,1,9,4,2,6,7,8,5]=>([(0,7),(0,8),(1,4),(1,7),(1,8),(2,3),(4,5),(4,6),(6,2),(8,5),(8,6)],9)
[1,2,5,3,9,6,8,7,4]=>([(0,6),(4,7),(4,8),(5,3),(5,7),(5,8),(6,4),(6,5),(8,1),(8,2)],9)
[4,5,1,7,6,8,2,9,3]=>([(0,4),(1,3),(1,7),(1,8),(3,2),(3,5),(4,7),(4,8),(6,5),(7,6),(8,6)],9)
[4,8,7,6,5,3,2,1,9]=>([(0,8),(1,8),(2,8),(3,4),(3,5),(3,6),(3,7),(4,8),(5,8),(6,8),(7,8)],9)
[5,8,7,4,6,3,2,1,9]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(4,6),(4,7),(5,8),(6,8),(7,8)],9)
[8,4,7,6,5,3,2,1,9]=>([(0,8),(1,8),(2,8),(3,8),(4,5),(4,6),(4,7),(5,8),(6,8),(7,8)],9)
[6,9,8,5,7,4,1,3,2]=>([(1,8),(2,6),(2,7),(3,4),(3,5),(3,8)],9)
[9,8,7,5,1,6,4,3,2]=>([(3,8),(4,5),(4,6),(4,7),(4,8)],9)
[1,2,8,3,4,5,6,9,7]=>([(0,7),(2,8),(3,4),(4,6),(5,3),(6,1),(6,8),(7,2),(7,5)],9)
[1,9,5,2,3,8,4,6,7]=>([(0,3),(0,4),(0,6),(2,8),(4,7),(4,8),(5,2),(5,7),(6,5),(8,1)],9)
[1,8,2,9,4,3,5,6,7]=>([(0,4),(0,6),(2,8),(3,8),(4,7),(5,1),(6,2),(6,3),(6,7),(8,5)],9)
[1,3,2,4,9,8,5,6,7]=>([(0,4),(0,5),(4,8),(5,8),(6,1),(7,6),(8,2),(8,3),(8,7)],9)
[2,1,3,4,5,9,8,6,7]=>([(0,8),(1,8),(5,4),(6,7),(7,2),(7,3),(7,5),(8,6)],9)
[9,1,7,2,3,4,5,8,6]=>([(1,3),(1,6),(3,8),(4,5),(5,7),(6,4),(7,2),(7,8)],9)
[1,8,5,2,3,4,6,9,7]=>([(0,3),(0,4),(0,6),(2,8),(3,8),(4,7),(5,2),(6,5),(8,1),(8,7)],9)
[9,8,1,2,3,5,6,4,7]=>([(2,6),(3,8),(4,8),(5,4),(6,7),(7,3),(7,5)],9)
[1,4,2,3,9,5,6,8,7]=>([(0,4),(0,5),(3,7),(3,8),(4,7),(4,8),(5,3),(6,1),(6,2),(8,6)],9)
[4,9,8,1,2,5,3,6,7]=>([(0,6),(1,4),(1,5),(1,7),(3,8),(6,3),(6,7),(7,8),(8,2)],9)
[1,3,2,4,5,9,6,8,7]=>([(0,4),(0,5),(4,8),(5,8),(6,2),(6,3),(7,1),(7,6),(8,7)],9)
[1,8,3,9,4,2,5,6,7]=>([(0,3),(0,4),(0,6),(2,8),(3,7),(4,8),(5,1),(6,2),(6,7),(8,5)],9)
[2,3,1,4,9,8,5,6,7]=>([(0,8),(1,3),(3,8),(6,2),(7,6),(8,4),(8,5),(8,7)],9)
[8,7,5,6,4,3,2,1,9]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[8,6,5,7,4,3,2,1,9]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[9,8,7,6,4,3,2,5,1]=>([(5,8),(6,8),(7,8)],9)
[9,8,7,6,4,3,5,2,1]=>([(6,8),(7,8)],9)
[8,5,6,7,4,3,2,1,9]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9)
[6,7,5,8,4,3,2,1,9]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[8,9,7,6,4,3,2,1,5]=>([(2,8),(3,8),(4,8),(5,8),(6,7)],9)
[7,6,5,3,2,1,4,8,9]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,7),(7,8),(8,6)],9)
[9,8,7,6,4,3,5,1,2]=>([(4,8),(5,8),(6,7)],9)
[9,8,7,6,4,5,2,3,1]=>([(5,8),(6,7)],9)
[9,8,7,6,5,3,4,2,1]=>([(7,8)],9)
[8,7,6,5,4,2,3,1,9]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[2,9,8,6,5,7,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(6,8),(7,8)],9)
[7,1,8,2,3,4,5,9,6]=>([(0,8),(1,5),(1,8),(3,4),(4,6),(5,3),(6,2),(6,7),(8,7)],9)
[6,8,1,2,3,4,5,9,7]=>([(0,6),(1,3),(1,8),(2,7),(2,8),(3,7),(4,5),(5,2),(6,4)],9)
[9,6,7,4,5,2,3,1,8]=>([(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[9,8,6,5,4,3,7,2,1]=>([(4,8),(5,8),(6,8),(7,8)],9)
[2,3,6,4,5,1,7,8,9]=>([(0,8),(1,7),(3,8),(4,8),(5,4),(6,2),(7,3),(7,5),(8,6)],9)
[2,3,4,8,5,6,7,1,9]=>([(0,8),(1,6),(2,8),(3,8),(4,5),(5,2),(6,7),(7,3),(7,4)],9)
[3,5,4,7,2,6,1,8,9]=>([(0,8),(1,7),(2,4),(2,5),(4,6),(4,8),(5,6),(5,8),(6,7),(7,3),(8,7)],9)
[2,6,4,1,5,3,7,8,9]=>([(0,6),(0,7),(1,3),(1,4),(1,7),(3,8),(4,6),(5,2),(6,8),(7,8),(8,5)],9)
[4,5,2,6,3,1,7,8,9]=>([(0,8),(1,5),(2,4),(2,7),(4,8),(5,7),(6,3),(7,8),(8,6)],9)
[3,6,4,5,9,2,7,8,1]=>([(1,8),(2,5),(2,6),(4,7),(4,8),(5,7),(5,8),(6,4),(8,3)],9)
[2,5,4,7,8,6,3,1,9]=>([(0,8),(1,3),(1,4),(1,5),(2,8),(3,8),(4,6),(4,7),(5,6),(5,7),(6,8),(7,2)],9)
[4,6,2,5,8,3,7,1,9]=>([(0,7),(1,3),(1,5),(2,4),(2,5),(3,8),(4,6),(4,8),(5,6),(5,8),(6,7),(8,7)],9)
[3,5,7,6,1,4,2,8,9]=>([(0,5),(0,7),(1,6),(1,7),(2,8),(3,8),(5,8),(6,2),(6,3),(7,8),(8,4)],9)
[5,6,2,3,7,4,1,8,9]=>([(0,8),(1,5),(2,6),(3,8),(5,7),(6,3),(6,7),(7,8),(8,4)],9)
[5,7,2,3,6,9,4,8,1]=>([(1,4),(2,3),(2,6),(3,7),(3,8),(4,5),(4,6),(5,8),(6,7),(6,8)],9)
[2,8,4,1,6,3,7,5,9]=>([(0,2),(0,3),(0,7),(1,6),(1,7),(2,8),(3,5),(3,6),(4,8),(5,8),(6,4),(7,4),(7,5)],9)
[4,6,7,8,3,1,5,2,9]=>([(0,8),(1,6),(1,8),(2,4),(2,8),(3,7),(4,7),(5,3),(6,5),(8,7)],9)
[6,7,2,3,4,8,5,1,9]=>([(0,8),(1,6),(2,4),(3,8),(4,7),(5,3),(5,7),(6,5),(7,8)],9)
[3,5,9,7,1,8,2,6,4]=>([(0,4),(0,7),(1,5),(1,8),(3,7),(4,6),(4,8),(5,2),(5,3),(5,6)],9)
[5,7,8,3,9,4,1,6,2]=>([(0,4),(0,8),(1,6),(1,8),(2,5),(2,7),(3,7),(5,8),(6,3)],9)
[7,8,2,3,4,5,9,6,1]=>([(1,7),(2,4),(4,8),(5,6),(6,3),(6,8),(7,5)],9)
[9,7,6,5,4,3,2,8,1]=>([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[3,1,4,6,2,5,8,7,9]=>([(0,7),(1,2),(1,7),(2,8),(3,5),(3,6),(5,4),(6,4),(7,3),(7,8),(8,5),(8,6)],9)
[1,3,2,5,7,4,6,9,8]=>([(0,2),(0,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(6,8),(7,1),(7,8),(8,4),(8,5)],9)
[1,9,8,5,6,7,4,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,8),(7,1),(8,7)],9)
[1,9,8,5,4,6,7,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(6,8),(7,8),(8,1)],9)
[1,9,5,4,6,7,8,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(5,8),(6,8),(7,1),(8,7)],9)
[1,2,3,4,7,5,6,9,8]=>([(0,5),(1,7),(1,8),(2,7),(2,8),(3,6),(4,1),(5,3),(6,2),(6,4)],9)
[9,8,7,6,5,3,1,4,2]=>([(5,8),(6,7),(6,8)],9)
[1,2,7,4,5,6,8,9,3]=>([(0,7),(2,8),(3,8),(5,6),(6,3),(7,1),(7,2),(7,5),(8,4)],9)
[1,2,3,4,7,8,5,6,9]=>([(0,6),(1,8),(2,8),(3,7),(4,2),(5,1),(6,3),(7,4),(7,5)],9)
[1,2,3,4,6,5,8,7,9]=>([(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(4,3),(5,1),(5,2),(6,8),(7,8)],9)
[1,2,3,4,8,9,5,6,7]=>([(0,7),(3,8),(4,5),(5,2),(6,1),(7,3),(8,4),(8,6)],9)
[2,1,7,8,9,3,4,5,6]=>([(0,7),(0,8),(1,7),(1,8),(4,3),(5,4),(6,2),(7,5),(8,6)],9)
[9,7,5,3,8,6,4,2,1]=>([(3,8),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[8,6,9,7,4,3,2,1,5]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(5,7)],9)
[8,6,3,2,1,4,9,7,5]=>([(0,8),(1,8),(2,8),(3,7),(4,6),(4,7),(8,5),(8,6),(8,7)],9)
[8,6,4,9,7,5,2,1,3]=>([(0,8),(1,6),(2,6),(3,7),(3,8),(4,5),(4,7),(4,8)],9)
[9,7,5,3,8,6,4,1,2]=>([(1,8),(2,7),(2,8),(3,6),(4,5),(4,7),(4,8)],9)
[9,6,7,8,5,4,3,2,1]=>([(6,7),(7,8)],9)
[8,5,6,9,7,4,3,2,1]=>([(4,8),(5,6),(6,7),(6,8)],9)
[8,6,3,2,1,9,7,4,5]=>([(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(6,5)],9)
[9,7,8,4,3,2,1,5,6]=>([(1,8),(2,8),(3,8),(4,8),(5,6),(8,7)],9)
[8,6,3,4,9,7,5,2,1]=>([(2,8),(3,7),(3,8),(4,5),(5,6),(5,7),(5,8)],9)
[8,6,9,7,3,2,1,4,5]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(4,7),(8,6)],9)
[9,7,5,2,3,8,6,4,1]=>([(2,8),(3,7),(3,8),(4,5),(5,6),(5,7),(5,8)],9)
[8,6,2,1,3,4,9,7,5]=>([(0,8),(1,7),(1,8),(2,6),(3,6),(4,5),(4,7),(4,8),(6,4)],9)
[8,6,4,9,7,5,1,2,3]=>([(0,8),(1,7),(1,8),(2,5),(3,4),(3,7),(3,8),(5,6)],9)
[2,5,1,6,3,7,4,8,9]=>([(0,4),(0,8),(1,7),(1,8),(3,5),(4,7),(5,2),(6,5),(7,6),(8,3),(8,6)],9)
[2,6,1,7,3,8,4,9,5]=>([(0,4),(0,8),(1,7),(1,8),(3,2),(3,5),(4,7),(6,5),(7,6),(8,3),(8,6)],9)
[3,4,6,1,7,2,8,5,9]=>([(0,3),(1,4),(1,8),(2,8),(3,2),(3,7),(4,6),(4,7),(6,5),(7,5),(8,6)],9)
[3,2,6,1,7,4,8,5,9]=>([(0,7),(0,8),(1,7),(1,8),(2,6),(2,8),(3,4),(5,4),(6,5),(7,6),(8,3),(8,5)],9)
[4,2,5,6,1,7,3,8,9]=>([(0,6),(1,6),(1,8),(2,7),(2,8),(4,7),(5,3),(6,4),(7,5),(8,5)],9)
[3,4,2,6,1,7,5,8,9]=>([(0,7),(0,8),(1,5),(1,8),(2,4),(4,7),(4,8),(5,6),(6,3),(7,5),(8,6)],9)
[4,2,5,7,1,8,3,9,6]=>([(0,6),(1,7),(1,8),(2,6),(2,8),(3,7),(6,3),(6,5),(7,4),(8,4),(8,5)],9)
[3,4,2,7,1,8,5,9,6]=>([(0,7),(0,8),(1,5),(1,8),(2,3),(3,7),(3,8),(5,6),(7,5),(8,4),(8,6)],9)
[5,3,6,4,7,1,8,2,9]=>([(0,8),(1,3),(1,8),(2,4),(2,7),(3,6),(4,5),(6,7),(7,5),(8,6)],9)
[3,5,2,6,7,1,8,4,9]=>([(0,7),(0,8),(1,6),(1,8),(2,3),(2,8),(3,7),(4,6),(6,5),(7,4),(8,5)],9)
[4,3,5,2,7,1,8,6,9]=>([(0,4),(1,4),(2,6),(2,8),(3,7),(3,8),(4,7),(4,8),(6,5),(7,6),(8,5)],9)
[4,6,2,7,5,8,1,9,3]=>([(0,3),(0,8),(1,4),(1,5),(2,5),(2,7),(2,8),(3,7),(6,4),(7,6),(8,6)],9)
[4,3,6,2,7,8,1,9,5]=>([(0,6),(0,8),(1,7),(1,8),(2,5),(2,8),(3,5),(3,8),(4,7),(5,6),(6,4)],9)
[4,5,3,6,2,8,1,9,7]=>([(0,7),(1,6),(1,8),(2,5),(2,8),(3,4),(4,7),(5,6),(7,5),(7,8)],9)
[9,8,7,6,5,2,3,4,1]=>([(6,7),(7,8)],9)
[6,1,7,8,9,2,3,4,5]=>([(0,8),(1,6),(1,8),(4,5),(5,2),(6,4),(7,3),(8,7)],9)
[4,5,6,7,1,9,2,3,8]=>([(0,5),(1,6),(1,8),(2,7),(3,7),(3,8),(4,3),(5,4),(6,2)],9)
[3,5,6,7,9,1,2,4,8]=>([(0,6),(0,8),(1,3),(3,8),(4,5),(5,2),(5,7),(6,4),(8,7)],9)
[5,1,6,7,8,2,9,3,4]=>([(0,8),(1,6),(1,8),(3,7),(4,3),(5,2),(6,5),(6,7),(8,4)],9)
[4,1,6,7,8,9,2,3,5]=>([(0,7),(0,8),(1,6),(1,8),(3,7),(4,5),(5,2),(6,3),(8,4)],9)
[2,3,1,5,6,8,9,4,7]=>([(0,7),(0,8),(1,3),(3,7),(3,8),(4,2),(5,4),(5,6),(7,5),(8,6)],9)
[5,6,7,8,9,1,3,4,2]=>([(0,8),(1,4),(1,7),(5,6),(6,2),(7,3),(8,5)],9)
[6,7,8,9,1,3,4,5,2]=>([(0,8),(1,4),(1,7),(5,2),(6,3),(7,5),(8,6)],9)
[6,7,8,9,1,4,5,2,3]=>([(0,8),(1,6),(1,7),(5,4),(6,3),(7,2),(8,5)],9)
[6,7,8,9,1,4,5,3,2]=>([(0,8),(1,4),(1,5),(1,7),(6,3),(7,2),(8,6)],9)
[6,7,8,9,1,5,4,3,2]=>([(0,8),(1,3),(1,4),(1,5),(1,6),(7,2),(8,7)],9)
[7,8,9,1,4,5,6,2,3]=>([(0,8),(1,6),(1,7),(5,3),(6,5),(7,2),(8,4)],9)
[7,8,9,1,4,5,6,3,2]=>([(0,8),(1,4),(1,5),(1,7),(6,3),(7,6),(8,2)],9)
[7,8,9,1,5,6,3,4,2]=>([(0,8),(1,5),(1,6),(1,7),(6,4),(7,3),(8,2)],9)
[7,8,9,1,5,6,4,3,2]=>([(0,8),(1,4),(1,5),(1,6),(1,7),(7,3),(8,2)],9)
[7,8,9,1,6,5,4,3,2]=>([(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(8,2)],9)
[8,9,1,5,6,7,3,4,2]=>([(0,5),(1,4),(1,7),(1,8),(6,2),(7,3),(8,6)],9)
[8,9,1,5,6,7,4,3,2]=>([(0,6),(1,3),(1,4),(1,5),(1,8),(7,2),(8,7)],9)
[8,9,1,6,7,4,5,2,3]=>([(0,5),(1,6),(1,7),(1,8),(6,4),(7,3),(8,2)],9)
[8,9,1,6,7,4,5,3,2]=>([(0,6),(1,4),(1,5),(1,7),(1,8),(7,3),(8,2)],9)
[8,9,1,6,7,5,4,3,2]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(1,8),(8,2)],9)
[9,1,7,8,5,6,3,4,2]=>([(1,5),(1,6),(1,7),(1,8),(6,4),(7,3),(8,2)],9)
[9,1,7,8,5,6,4,3,2]=>([(1,4),(1,5),(1,6),(1,7),(1,8),(7,3),(8,2)],9)
[2,3,4,5,7,9,6,8,1]=>([(1,5),(3,8),(4,7),(5,4),(6,2),(6,8),(7,3),(7,6)],9)
[2,3,4,6,9,5,7,8,1]=>([(1,5),(3,8),(5,7),(6,2),(6,8),(7,3),(7,6),(8,4)],9)
[2,3,5,9,4,6,7,8,1]=>([(1,7),(4,8),(5,3),(5,8),(6,2),(7,4),(7,5),(8,6)],9)
[2,4,9,3,5,6,7,8,1]=>([(1,4),(1,6),(4,8),(5,3),(6,2),(6,8),(7,5),(8,7)],9)
[5,9,8,7,6,4,3,1,2]=>([(2,8),(3,4),(3,5),(3,6),(3,7)],9)
[5,4,8,7,6,3,2,1,9]=>([(0,8),(1,8),(2,8),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,8),(6,8),(7,8)],9)
[6,5,9,8,7,4,3,1,2]=>([(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5)],9)
[9,5,8,7,6,4,3,1,2]=>([(3,8),(4,5),(4,6),(4,7)],9)
[2,3,4,5,6,1,8,9,7]=>([(0,7),(0,8),(1,6),(2,7),(2,8),(4,5),(5,2),(6,4),(8,3)],9)
[2,3,4,5,1,7,8,9,6]=>([(0,7),(0,8),(1,6),(3,7),(3,8),(4,3),(5,2),(6,4),(8,5)],9)
[2,9,3,4,5,6,1,7,8]=>([(0,8),(1,2),(1,7),(3,8),(5,6),(6,3),(7,5),(8,4)],9)
[2,8,3,4,5,1,6,9,7]=>([(0,8),(1,4),(1,6),(3,8),(4,7),(5,3),(6,5),(8,2),(8,7)],9)
[2,7,3,4,1,5,8,9,6]=>([(0,8),(1,4),(1,6),(3,8),(4,7),(6,3),(7,5),(8,2),(8,7)],9)
[2,6,3,1,4,7,8,9,5]=>([(0,8),(1,4),(1,5),(4,8),(5,7),(6,3),(7,6),(8,2),(8,7)],9)
[4,2,5,3,7,6,9,8,1]=>([(1,8),(2,3),(2,8),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7)],9)
[4,2,6,3,7,5,9,8,1]=>([(1,3),(1,6),(2,6),(2,8),(3,7),(3,8),(6,7),(7,4),(7,5),(8,4),(8,5)],9)
[4,2,6,3,8,5,9,7,1]=>([(1,3),(1,7),(2,7),(2,8),(3,6),(3,8),(6,5),(7,4),(7,6),(8,4),(8,5)],9)
[4,2,6,3,8,5,1,7,9]=>([(0,8),(1,3),(1,6),(2,5),(2,6),(3,5),(3,7),(5,8),(6,7),(6,8),(7,4),(8,4)],9)
[4,2,6,3,8,5,7,1,9]=>([(0,8),(1,3),(1,7),(2,6),(2,7),(3,5),(3,6),(4,8),(5,8),(6,4),(7,4),(7,5)],9)
[4,2,6,3,5,8,7,1,9]=>([(0,8),(1,3),(1,6),(2,6),(2,7),(3,7),(4,8),(5,8),(6,4),(6,5),(7,4),(7,5)],9)
[4,2,3,6,5,8,7,1,9]=>([(0,8),(1,3),(2,6),(2,7),(3,6),(3,7),(4,8),(5,8),(6,4),(6,5),(7,4),(7,5)],9)
[5,2,6,3,7,4,9,8,1]=>([(1,7),(2,3),(2,7),(3,4),(3,8),(4,5),(4,6),(7,8),(8,5),(8,6)],9)
[4,2,7,3,8,5,9,6,1]=>([(1,4),(1,7),(2,7),(2,8),(4,6),(4,8),(6,5),(7,6),(8,3),(8,5)],9)
[4,2,6,3,9,5,1,7,8]=>([(0,8),(1,5),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(5,8),(7,8),(8,3)],9)
[4,2,6,3,8,5,7,9,1]=>([(1,3),(1,8),(2,7),(2,8),(3,6),(3,7),(5,4),(6,4),(7,5),(8,5),(8,6)],9)
[4,2,6,3,5,8,1,7,9]=>([(0,8),(1,3),(1,6),(2,6),(2,7),(3,7),(5,4),(6,5),(6,8),(7,5),(7,8),(8,4)],9)
[4,2,3,6,8,5,7,1,9]=>([(0,8),(1,6),(1,7),(2,4),(3,8),(4,6),(4,7),(5,8),(6,5),(7,3),(7,5)],9)
[2,4,6,3,5,8,7,1,9]=>([(0,8),(1,2),(1,4),(2,5),(3,6),(3,7),(4,3),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
[3,4,5,6,9,2,1,8,7]=>([(0,7),(0,8),(1,7),(1,8),(2,5),(4,6),(5,4),(6,3),(6,7),(6,8)],9)
[3,4,5,8,2,9,1,7,6]=>([(0,3),(1,7),(1,8),(2,6),(2,7),(2,8),(3,5),(4,6),(5,4),(5,7),(5,8)],9)
[3,4,7,2,8,9,1,5,6]=>([(0,8),(1,7),(1,8),(2,6),(4,7),(6,4),(6,8),(7,5),(8,3)],9)
[3,6,2,7,8,9,1,5,4]=>([(0,7),(0,8),(1,6),(1,7),(1,8),(2,3),(2,7),(2,8),(3,6),(4,5),(6,4)],9)
[5,2,6,7,8,9,1,4,3]=>([(0,8),(1,6),(1,7),(2,6),(2,7),(2,8),(3,5),(5,4),(8,3)],9)
[3,4,5,6,9,1,7,8,2]=>([(0,7),(1,4),(1,8),(5,6),(6,2),(6,8),(7,5),(8,3)],9)
[3,4,5,8,9,6,1,7,2]=>([(0,6),(1,4),(1,8),(3,8),(5,2),(6,7),(7,3),(7,5)],9)
[3,4,7,8,5,9,1,2,6]=>([(0,4),(1,6),(2,7),(3,7),(3,8),(4,8),(5,2),(6,3),(6,5)],9)
[3,4,5,9,2,6,1,8,7]=>([(0,8),(1,3),(2,6),(2,7),(3,5),(5,4),(5,8),(8,6),(8,7)],9)
[3,6,7,4,8,9,1,5,2]=>([(0,5),(0,7),(1,4),(1,6),(3,8),(4,7),(4,8),(6,3),(8,2)],9)
[3,4,8,2,5,9,1,7,6]=>([(0,4),(1,8),(2,5),(2,6),(3,7),(4,3),(4,8),(8,5),(8,6),(8,7)],9)
[5,6,3,7,8,9,1,4,2]=>([(0,7),(0,8),(1,5),(2,4),(2,8),(5,7),(6,3),(7,6)],9)
[3,7,2,4,8,9,1,5,6]=>([(0,7),(1,6),(2,4),(2,6),(4,8),(6,7),(6,8),(7,3),(8,5)],9)
[6,2,3,7,8,9,1,5,4]=>([(0,8),(1,6),(1,7),(2,4),(3,5),(4,6),(4,7),(4,8),(8,3)],9)
[8,9,7,6,5,4,1,3,2]=>([(4,8),(5,6),(5,7)],9)
[8,7,9,6,5,4,1,3,2]=>([(3,8),(4,8),(5,6),(5,7)],9)
[9,7,8,6,5,4,1,3,2]=>([(4,8),(5,6),(5,7)],9)
[1,3,2,4,5,6,9,7,8]=>([(0,3),(0,4),(3,8),(4,8),(5,2),(6,7),(7,1),(7,5),(8,6)],9)
[2,3,1,4,5,6,9,7,8]=>([(0,8),(1,4),(4,8),(5,3),(6,7),(7,2),(7,5),(8,6)],9)
[4,3,9,5,6,7,8,2,1]=>([(2,7),(2,8),(3,7),(3,8),(4,6),(6,5),(8,4)],9)
[3,2,8,5,6,7,1,9,4]=>([(0,7),(0,8),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,8),(5,8),(6,3)],9)
[7,8,4,5,6,1,3,9,2]=>([(0,6),(1,7),(2,3),(2,5),(4,8),(5,8),(6,8),(7,4)],9)
[3,4,1,9,6,7,8,2,5]=>([(0,4),(1,3),(1,7),(1,8),(3,6),(4,6),(4,7),(4,8),(5,2),(8,5)],9)
[4,8,9,5,6,7,2,1,3]=>([(0,8),(1,8),(2,6),(2,7),(5,4),(6,5),(7,3)],9)
[4,2,3,8,6,7,1,9,5]=>([(0,7),(0,8),(1,5),(1,6),(1,7),(2,4),(3,8),(4,5),(4,6),(4,7),(5,8),(6,3)],9)
[6,8,4,5,1,3,7,9,2]=>([(0,5),(1,6),(1,8),(2,3),(2,4),(4,8),(5,8),(6,7),(8,7)],9)
[3,5,1,4,9,7,8,2,6]=>([(0,3),(0,6),(1,4),(1,6),(3,8),(4,5),(4,7),(4,8),(6,5),(6,7),(6,8),(7,2)],9)
[8,3,4,9,6,7,2,5,1]=>([(1,4),(2,8),(3,7),(4,6),(4,7),(4,8),(6,5)],9)
[4,7,9,5,6,2,1,8,3]=>([(0,7),(0,8),(1,7),(1,8),(2,5),(2,6),(4,8),(5,4),(6,3),(6,8)],9)
[8,1,2,5,3,4,6,7,9]=>([(0,7),(1,6),(2,8),(3,8),(4,7),(5,3),(6,2),(6,5),(8,4)],9)
[1,9,2,3,6,4,5,7,8]=>([(0,4),(0,6),(1,8),(2,8),(5,2),(6,7),(7,1),(7,5),(8,3)],9)
[8,1,2,6,4,3,5,7,9]=>([(0,8),(1,5),(2,7),(3,6),(4,6),(5,2),(5,3),(5,4),(6,7),(7,8)],9)
[8,1,2,6,3,5,4,7,9]=>([(0,7),(1,6),(2,8),(3,8),(4,8),(5,3),(5,4),(6,2),(6,5),(8,7)],9)
[1,9,2,3,7,5,4,6,8]=>([(0,4),(0,5),(1,8),(2,7),(3,7),(5,6),(6,1),(6,2),(6,3),(7,8)],9)
[1,9,2,3,7,4,6,5,8]=>([(0,4),(0,5),(1,8),(2,8),(3,8),(5,7),(6,2),(6,3),(7,1),(7,6)],9)
[5,6,7,8,9,3,2,1,4]=>([(0,4),(1,8),(2,8),(3,8),(4,7),(6,5),(7,6)],9)
[6,7,8,9,3,4,1,2,5]=>([(0,5),(1,4),(2,7),(4,8),(5,8),(6,3),(7,6)],9)
[6,7,8,9,3,4,2,1,5]=>([(0,8),(1,8),(2,4),(3,5),(4,6),(5,8),(6,7)],9)
[7,8,9,3,4,5,1,2,6]=>([(0,5),(1,6),(2,7),(4,8),(5,8),(6,3),(7,4)],9)
[7,8,9,3,4,5,2,1,6]=>([(0,8),(1,8),(2,4),(3,5),(4,7),(5,6),(7,8)],9)
[7,8,9,4,5,2,3,1,6]=>([(0,8),(1,6),(2,5),(3,4),(4,7),(5,8),(6,8)],9)
[7,8,9,4,5,3,2,1,6]=>([(0,8),(1,8),(2,8),(3,5),(4,6),(5,7),(6,8)],9)
[8,9,4,5,6,2,3,1,7]=>([(0,8),(1,4),(2,5),(3,6),(5,7),(6,8),(7,8)],9)
[8,9,4,5,6,3,2,1,7]=>([(0,8),(1,8),(2,8),(3,5),(4,6),(6,7),(7,8)],9)
[8,9,5,6,3,4,1,2,7]=>([(0,7),(1,6),(2,5),(3,4),(5,8),(6,8),(7,8)],9)
[8,9,5,6,3,4,2,1,7]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(6,8),(7,8)],9)
[8,9,5,6,4,3,2,1,7]=>([(0,8),(1,8),(2,8),(3,8),(4,6),(5,7),(7,8)],9)
[9,6,7,4,5,3,2,1,8]=>([(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[9,7,1,8,2,3,4,5,6]=>([(1,8),(2,7),(2,8),(4,6),(5,4),(6,3),(7,5)],9)
[9,6,1,7,2,8,3,4,5]=>([(1,8),(2,6),(2,8),(4,5),(5,3),(6,4),(6,7),(8,7)],9)
[8,6,1,9,7,2,3,4,5]=>([(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(4,5),(5,3),(6,4)],9)
[9,8,6,1,7,2,3,4,5]=>([(2,8),(3,4),(3,8),(4,7),(6,5),(7,6)],9)
[8,5,1,9,6,2,7,3,4]=>([(0,8),(1,6),(1,8),(2,3),(2,6),(2,8),(3,5),(3,7),(5,4),(6,7)],9)
[9,8,5,1,6,2,7,3,4]=>([(2,7),(3,4),(3,7),(4,6),(4,8),(6,5),(7,8)],9)
[9,7,5,1,8,6,2,3,4]=>([(1,8),(2,7),(2,8),(3,4),(3,7),(3,8),(4,6),(6,5)],9)
[9,8,7,5,1,6,2,3,4]=>([(3,8),(4,5),(4,8),(5,7),(7,6)],9)
[9,7,4,1,8,5,2,6,3]=>([(1,8),(2,6),(2,8),(3,4),(3,6),(3,8),(4,5),(4,7),(6,7)],9)
[9,8,7,4,1,5,2,6,3]=>([(3,7),(4,5),(4,7),(5,6),(5,8),(7,8)],9)
[8,6,4,1,9,7,5,2,3]=>([(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,4),(3,6),(3,7),(3,8),(4,5)],9)
[9,8,6,4,1,7,5,2,3]=>([(2,8),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6)],9)
[9,8,7,6,4,1,5,2,3]=>([(4,8),(5,6),(5,8),(6,7)],9)
[9,8,7,5,3,1,6,4,2]=>([(3,8),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[9,1,2,8,4,3,5,6,7]=>([(1,7),(4,8),(5,8),(6,3),(7,2),(7,4),(7,5),(8,6)],9)
[8,1,9,3,2,4,6,5,7]=>([(0,7),(1,2),(1,3),(1,7),(2,8),(3,8),(4,6),(5,6),(8,4),(8,5)],9)
[9,8,2,1,3,5,6,4,7]=>([(2,7),(3,7),(4,8),(5,6),(6,8),(7,4),(7,5)],9)
[8,1,9,2,4,5,6,3,7]=>([(0,8),(1,6),(1,8),(2,7),(3,7),(4,5),(5,3),(6,2),(6,4)],9)
[1,4,3,6,5,8,7,9,2]=>([(0,1),(0,2),(0,3),(2,7),(2,8),(3,7),(3,8),(5,4),(6,4),(7,5),(7,6),(8,5),(8,6)],9)
[1,4,2,6,5,8,7,9,3]=>([(0,2),(0,3),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(7,6),(8,5),(8,6)],9)
[1,5,2,6,4,8,7,9,3]=>([(0,3),(0,4),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
[1,5,2,7,4,8,6,9,3]=>([(0,3),(0,4),(2,5),(2,7),(3,5),(3,6),(4,1),(4,2),(4,6),(5,8),(6,7),(7,8)],9)
[1,5,2,7,4,9,6,8,3]=>([(0,3),(0,4),(2,5),(2,7),(3,5),(3,6),(4,1),(4,2),(4,6),(5,8),(6,7),(6,8)],9)
[1,5,2,7,4,6,9,8,3]=>([(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,2),(4,6),(5,7),(5,8),(6,7),(6,8)],9)
[1,5,2,4,7,6,9,8,3]=>([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(5,7),(5,8),(6,7),(6,8)],9)
[1,2,5,4,7,6,9,8,3]=>([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3),(5,7),(5,8),(6,7),(6,8)],9)
[1,5,2,6,3,8,7,9,4]=>([(0,2),(0,4),(2,5),(3,1),(3,6),(3,7),(4,3),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
[1,6,2,7,4,8,5,9,3]=>([(0,3),(0,5),(2,7),(3,6),(4,2),(4,8),(5,1),(5,4),(5,6),(6,8),(8,7)],9)
[1,5,2,8,4,9,6,7,3]=>([(0,4),(0,5),(3,7),(3,8),(4,6),(4,8),(5,2),(5,3),(5,6),(6,7),(8,1)],9)
[1,5,2,7,4,6,8,9,3]=>([(0,4),(0,5),(3,6),(4,6),(4,7),(5,2),(5,3),(5,7),(6,8),(7,8),(8,1)],9)
[1,5,2,4,7,9,6,8,3]=>([(0,4),(0,5),(3,6),(3,8),(4,6),(4,8),(5,2),(5,3),(6,7),(8,1),(8,7)],9)
[1,2,5,7,4,6,9,8,3]=>([(0,5),(2,6),(3,7),(3,8),(4,3),(4,6),(5,1),(5,2),(5,4),(6,7),(6,8)],9)
[3,4,5,6,8,9,7,1,2]=>([(0,7),(1,4),(5,8),(6,3),(7,5),(8,2),(8,6)],9)
[3,4,5,7,8,9,6,1,2]=>([(0,7),(1,4),(5,6),(6,3),(7,8),(8,2),(8,5)],9)
[3,5,6,7,8,9,4,1,2]=>([(0,4),(1,3),(1,8),(5,7),(6,5),(7,2),(8,6)],9)
[4,5,6,7,8,9,3,1,2]=>([(1,8),(2,4),(5,7),(6,5),(7,3),(8,6)],9)
[3,4,5,8,1,9,7,6,2]=>([(0,5),(1,3),(1,6),(1,7),(1,8),(2,6),(4,2),(4,7),(4,8),(5,4)],9)
[3,4,7,1,8,9,6,5,2]=>([(0,5),(1,4),(1,6),(1,7),(1,8),(3,8),(5,3),(5,6),(5,7),(8,2)],9)
[3,6,1,7,8,9,4,5,2]=>([(0,5),(0,8),(1,4),(1,7),(1,8),(5,7),(6,3),(7,6),(8,2)],9)
[5,1,6,7,8,9,4,3,2]=>([(0,8),(1,3),(1,4),(1,5),(1,8),(6,2),(7,6),(8,7)],9)
[1,5,6,7,8,9,3,2,4]=>([(0,2),(0,3),(0,7),(2,8),(3,8),(4,6),(5,4),(6,1),(7,5)],9)
[3,4,5,8,9,6,7,1,2]=>([(0,7),(1,4),(5,3),(6,2),(7,8),(8,5),(8,6)],9)
[3,4,7,8,5,9,6,1,2]=>([(0,4),(1,7),(3,8),(5,3),(6,2),(6,8),(7,5),(7,6)],9)
[3,4,5,9,1,6,7,8,2]=>([(0,7),(1,4),(1,8),(5,3),(5,8),(6,2),(7,5),(8,6)],9)
[3,4,8,1,5,9,7,6,2]=>([(0,5),(0,8),(1,6),(4,7),(6,4),(6,8),(8,2),(8,3),(8,7)],9)
[5,6,3,7,8,9,4,1,2]=>([(0,4),(1,6),(2,5),(2,8),(6,8),(7,3),(8,7)],9)
[3,7,1,4,8,9,6,5,2]=>([(0,6),(0,8),(1,5),(1,8),(6,7),(7,4),(8,2),(8,3),(8,7)],9)
[5,2,6,7,8,9,3,1,4]=>([(0,7),(1,8),(2,4),(2,8),(4,7),(5,3),(6,5),(8,6)],9)
[6,1,3,7,8,9,4,5,2]=>([(0,8),(1,4),(1,6),(5,3),(6,5),(6,8),(7,2),(8,7)],9)
[1,2,6,7,8,9,4,3,5]=>([(0,7),(2,8),(3,8),(4,6),(5,1),(6,5),(7,2),(7,3),(7,4)],9)
[9,3,4,5,6,8,7,2,1]=>([(3,7),(6,8),(7,6),(8,4),(8,5)],9)
[9,4,3,5,6,7,8,2,1]=>([(3,8),(4,8),(5,7),(7,6),(8,5)],9)
[9,8,3,4,5,7,6,2,1]=>([(4,5),(5,8),(8,6),(8,7)],9)
[9,8,4,3,5,6,7,2,1]=>([(4,8),(5,8),(6,7),(8,6)],9)
[9,3,4,5,6,2,8,7,1]=>([(2,4),(3,7),(3,8),(4,6),(5,7),(5,8),(6,5)],9)
[9,2,4,5,6,8,7,3,1]=>([(2,5),(2,7),(6,8),(7,6),(8,3),(8,4)],9)
[9,4,3,5,6,7,2,8,1]=>([(2,8),(3,8),(4,7),(5,6),(6,7),(8,5)],9)
[9,3,2,5,6,7,8,4,1]=>([(2,7),(2,8),(3,7),(3,8),(4,6),(6,5),(8,4)],9)
[4,6,3,5,7,2,8,1,9]=>([(0,7),(1,5),(2,6),(3,4),(3,5),(4,8),(5,8),(6,7),(8,6)],9)
[5,6,3,4,7,2,8,1,9]=>([(0,7),(1,6),(2,5),(3,4),(4,8),(5,8),(6,7),(8,6)],9)
[1,5,7,4,6,8,3,9,2]=>([(0,2),(0,3),(0,4),(0,5),(1,8),(3,6),(4,7),(5,1),(5,6),(6,8),(8,7)],9)
[1,6,7,4,5,8,3,9,2]=>([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(4,8),(5,2),(6,1),(7,8)],9)
[1,2,3,4,8,5,9,6,7]=>([(0,6),(2,8),(3,7),(4,1),(5,4),(5,8),(6,3),(7,2),(7,5)],9)
[1,2,3,7,4,5,8,6,9]=>([(0,5),(1,8),(2,7),(3,4),(4,1),(4,7),(5,6),(6,2),(6,3),(7,8)],9)
[1,2,3,4,8,6,5,7,9]=>([(0,5),(1,8),(2,7),(3,7),(4,6),(5,4),(6,1),(6,2),(6,3),(7,8)],9)
[1,2,3,4,9,7,5,6,8]=>([(0,6),(2,8),(3,8),(4,7),(5,3),(6,4),(7,1),(7,2),(7,5)],9)
[2,1,4,9,3,5,6,7,8]=>([(0,7),(0,8),(1,7),(1,8),(4,3),(5,4),(6,5),(7,6),(8,2),(8,6)],9)
[3,7,1,2,4,5,6,9,8]=>([(0,3),(1,4),(1,8),(2,6),(2,7),(3,8),(4,6),(4,7),(5,2),(8,5)],9)
[3,1,2,6,9,4,5,7,8]=>([(0,7),(0,8),(1,3),(3,7),(3,8),(5,6),(6,2),(7,5),(8,4),(8,6)],9)
[4,6,1,2,3,5,9,7,8]=>([(0,4),(0,7),(1,5),(3,7),(4,6),(4,8),(5,3),(7,6),(7,8),(8,2)],9)
[9,7,6,5,4,3,8,2,1]=>([(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[9,8,6,5,4,7,3,2,1]=>([(5,8),(6,8),(7,8)],9)
[5,4,3,2,1,9,7,8,6]=>([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(8,5)],9)
[2,1,4,3,6,5,8,7,10,9]=>([(0,8),(0,9),(1,8),(1,9),(4,6),(4,7),(5,6),(5,7),(6,2),(6,3),(7,2),(7,3),(8,4),(8,5),(9,4),(9,5)],10)
[3,4,1,2,6,5,8,7,10,9]=>([(0,3),(1,2),(2,8),(2,9),(3,8),(3,9),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[4,3,2,1,6,5,8,7,10,9]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,6),(4,7),(5,6),(5,7),(8,4),(8,5),(9,4),(9,5)],10)
[6,3,2,5,4,1,8,7,10,9]=>([(0,8),(0,9),(1,8),(1,9),(2,4),(2,5),(3,4),(3,5),(4,8),(4,9),(5,8),(5,9),(8,6),(8,7),(9,6),(9,7)],10)
[8,3,2,5,4,7,6,1,10,9]=>([(0,8),(0,9),(1,8),(1,9),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9)],10)
[10,3,2,5,4,7,6,9,8,1]=>([(2,8),(2,9),(3,8),(3,9),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[4,5,6,1,2,3,8,7,10,9]=>([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,2),(5,3),(6,8),(6,9),(7,8),(7,9)],10)
[3,5,1,6,2,4,8,7,10,9]=>([(0,3),(0,9),(1,2),(1,8),(2,9),(3,8),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[2,1,5,6,3,4,8,7,10,9]=>([(0,6),(0,7),(1,6),(1,7),(2,8),(2,9),(3,8),(3,9),(6,3),(7,2),(8,4),(8,5),(9,4),(9,5)],10)
[2,1,6,5,4,3,8,7,10,9]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,2),(8,3),(9,2),(9,3)],10)
[6,5,4,3,2,1,8,7,10,9]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(8,6),(8,7),(9,6),(9,7)],10)
[8,5,4,3,2,7,6,1,10,9]=>([(0,8),(0,9),(1,8),(1,9),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9)],10)
[10,5,4,3,2,7,6,9,8,1]=>([(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(8,6),(8,7),(9,6),(9,7)],10)
[2,1,8,5,4,7,6,3,10,9]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,2),(6,3),(7,2),(7,3)],10)
[8,7,4,3,6,5,2,1,10,9]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,6),(4,7),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9)],10)
[10,7,4,3,6,5,2,9,8,1]=>([(2,8),(2,9),(3,8),(3,9),(4,6),(4,7),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9)],10)
[2,1,10,5,4,7,6,9,8,3]=>([(0,4),(0,5),(0,8),(0,9),(1,4),(1,5),(1,8),(1,9),(6,2),(6,3),(7,2),(7,3),(8,6),(8,7),(9,6),(9,7)],10)
[10,9,4,3,6,5,8,7,2,1]=>([(4,6),(4,7),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9)],10)
[8,9,5,6,3,4,10,1,2,7]=>([(0,5),(1,4),(2,7),(3,6),(4,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[5,6,7,8,1,2,3,4,10,9]=>([(0,7),(1,6),(2,8),(2,9),(3,8),(3,9),(4,2),(5,3),(6,4),(7,5)],10)
[4,6,7,1,8,2,3,5,10,9]=>([(0,5),(0,9),(1,4),(1,8),(2,9),(3,8),(4,2),(5,3),(8,6),(8,7),(9,6),(9,7)],10)
[3,6,1,7,8,2,4,5,10,9]=>([(0,5),(0,9),(1,4),(1,8),(2,6),(2,7),(3,6),(3,7),(4,9),(5,8),(8,2),(9,3)],10)
[2,1,6,7,8,3,4,5,10,9]=>([(0,8),(0,9),(1,8),(1,9),(2,6),(2,7),(3,6),(3,7),(4,3),(5,2),(8,4),(9,5)],10)
[2,1,5,7,3,8,4,6,10,9]=>([(0,6),(0,7),(1,6),(1,7),(2,9),(3,8),(6,3),(6,9),(7,2),(7,8),(8,4),(8,5),(9,4),(9,5)],10)
[3,5,1,7,2,8,4,6,10,9]=>([(0,3),(0,7),(1,2),(1,6),(2,7),(2,8),(3,6),(3,9),(6,8),(7,9),(8,4),(8,5),(9,4),(9,5)],10)
[4,5,7,1,2,8,3,6,10,9]=>([(0,5),(1,4),(2,7),(3,6),(4,2),(4,6),(5,3),(5,7),(6,8),(6,9),(7,8),(7,9)],10)
[3,4,1,2,7,8,5,6,10,9]=>([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,8),(4,9),(5,8),(5,9),(8,3),(9,2)],10)
[2,1,4,3,7,8,5,6,10,9]=>([(0,8),(0,9),(1,8),(1,9),(2,6),(2,7),(3,6),(3,7),(4,3),(5,2),(8,4),(8,5),(9,4),(9,5)],10)
[2,1,4,3,8,7,6,5,10,9]=>([(0,6),(0,7),(1,6),(1,7),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],10)
[4,3,2,1,8,7,6,5,10,9]=>([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(6,4),(6,5),(7,4),(7,5),(8,4),(8,5),(9,4),(9,5)],10)
[8,3,2,7,6,5,4,1,10,9]=>([(0,8),(0,9),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[10,3,2,7,6,5,4,9,8,1]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[2,1,8,7,6,5,4,3,10,9]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[8,7,6,5,4,3,2,1,10,9]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[9,7,6,5,4,3,2,10,1,8]=>([(0,9),(1,8),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[10,7,6,5,4,3,2,9,8,1]=>([(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[2,1,10,7,6,5,4,9,8,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[10,9,6,5,4,3,8,7,2,1]=>([(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[2,1,4,3,10,7,6,9,8,5]=>([(0,8),(0,9),(1,8),(1,9),(6,4),(6,5),(7,4),(7,5),(8,2),(8,3),(8,6),(8,7),(9,2),(9,3),(9,6),(9,7)],10)
[4,3,2,1,10,7,6,9,8,5]=>([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(8,4),(8,5),(9,4),(9,5)],10)
[10,3,2,9,6,5,8,7,4,1]=>([(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(8,4),(8,5),(9,4),(9,5)],10)
[2,1,10,9,6,5,8,7,4,3]=>([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(8,2),(8,3),(9,2),(9,3)],10)
[10,9,8,5,4,7,6,3,2,1]=>([(6,8),(6,9),(7,8),(7,9)],10)
[10,8,9,6,7,4,5,2,3,1]=>([(2,9),(3,8),(4,7),(5,6)],10)
[2,1,7,8,9,10,3,4,5,6]=>([(0,8),(0,9),(1,8),(1,9),(4,3),(5,2),(6,4),(7,5),(8,6),(9,7)],10)
[3,7,1,8,9,10,2,4,5,6]=>([(0,5),(0,9),(1,4),(1,8),(4,9),(5,8),(6,2),(7,3),(8,6),(9,7)],10)
[4,7,8,1,9,10,2,3,5,6]=>([(0,7),(0,9),(1,6),(1,8),(2,9),(3,8),(6,2),(7,3),(8,4),(9,5)],10)
[5,7,8,9,1,10,2,3,4,6]=>([(0,7),(0,9),(1,6),(1,8),(2,8),(3,9),(4,3),(5,2),(6,4),(7,5)],10)
[6,7,8,9,10,1,2,3,4,5]=>([(0,9),(1,8),(4,6),(5,7),(6,2),(7,3),(8,4),(9,5)],10)
[5,6,8,9,1,2,10,3,4,7]=>([(0,7),(1,6),(2,9),(3,8),(4,2),(5,3),(6,4),(6,8),(7,5),(7,9)],10)
[4,6,8,1,9,2,10,3,5,7]=>([(0,5),(0,9),(1,4),(1,8),(2,9),(3,8),(4,2),(4,6),(5,3),(5,7),(8,6),(9,7)],10)
[3,6,1,8,9,2,10,4,5,7]=>([(0,5),(0,9),(1,4),(1,8),(2,6),(3,7),(4,6),(4,9),(5,7),(5,8),(8,2),(9,3)],10)
[2,1,6,8,9,3,10,4,5,7]=>([(0,8),(0,9),(1,8),(1,9),(2,7),(3,6),(4,3),(5,2),(8,5),(8,6),(9,4),(9,7)],10)
[2,1,5,8,3,9,10,4,6,7]=>([(0,8),(0,9),(1,8),(1,9),(2,7),(3,6),(6,4),(7,5),(8,3),(8,7),(9,2),(9,6)],10)
[3,5,1,8,2,9,10,4,6,7]=>([(0,5),(0,7),(1,4),(1,6),(4,7),(4,8),(5,6),(5,9),(6,8),(7,9),(8,2),(9,3)],10)
[4,5,8,1,2,9,10,3,6,7]=>([(0,7),(1,6),(2,9),(3,8),(6,2),(6,8),(7,3),(7,9),(8,4),(9,5)],10)
[7,3,2,8,9,10,1,4,5,6]=>([(0,9),(1,8),(2,8),(2,9),(3,8),(3,9),(4,6),(5,7),(8,4),(9,5)],10)
[3,4,1,2,8,9,10,5,6,7]=>([(0,5),(1,4),(4,8),(4,9),(5,8),(5,9),(6,3),(7,2),(8,6),(9,7)],10)
[2,1,4,3,8,9,10,5,6,7]=>([(0,8),(0,9),(1,8),(1,9),(4,3),(5,2),(6,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[2,1,4,3,7,9,5,10,6,8]=>([(0,8),(0,9),(1,8),(1,9),(2,5),(3,4),(6,3),(6,5),(7,2),(7,4),(8,6),(8,7),(9,6),(9,7)],10)
[3,4,1,2,7,9,5,10,6,8]=>([(0,5),(1,4),(2,7),(3,6),(4,8),(4,9),(5,8),(5,9),(8,3),(8,7),(9,2),(9,6)],10)
[4,5,7,1,2,9,3,10,6,8]=>([(0,5),(1,4),(2,7),(2,8),(3,6),(3,9),(4,2),(4,6),(5,3),(5,7),(6,8),(7,9)],10)
[3,5,1,7,2,9,4,10,6,8]=>([(0,3),(0,9),(1,2),(1,8),(2,6),(2,9),(3,7),(3,8),(6,5),(7,4),(8,4),(8,6),(9,5),(9,7)],10)
[2,1,5,7,3,9,4,10,6,8]=>([(0,8),(0,9),(1,8),(1,9),(2,5),(2,7),(3,4),(3,6),(6,5),(7,4),(8,3),(8,7),(9,2),(9,6)],10)
[2,1,6,7,9,3,4,10,5,8]=>([(0,8),(0,9),(1,8),(1,9),(2,7),(3,6),(4,3),(4,7),(5,2),(5,6),(8,4),(9,5)],10)
[3,6,1,7,9,2,4,10,5,8]=>([(0,5),(0,9),(1,4),(1,8),(2,7),(3,6),(4,9),(5,8),(8,2),(8,6),(9,3),(9,7)],10)
[4,6,7,1,9,2,3,10,5,8]=>([(0,5),(0,9),(1,4),(1,8),(2,6),(2,9),(3,7),(3,8),(4,2),(5,3),(8,6),(9,7)],10)
[5,6,7,9,1,2,3,10,4,8]=>([(0,7),(1,6),(2,9),(3,8),(4,2),(4,8),(5,3),(5,9),(6,4),(7,5)],10)
[8,5,4,3,2,9,10,1,6,7]=>([(0,9),(1,8),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(8,6),(9,7)],10)
[2,1,5,6,3,4,9,10,7,8]=>([(0,8),(0,9),(1,8),(1,9),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4),(8,3),(9,2)],10)
[3,5,1,6,2,4,9,10,7,8]=>([(0,5),(0,7),(1,4),(1,6),(4,7),(5,6),(6,8),(6,9),(7,8),(7,9),(8,3),(9,2)],10)
[4,5,6,1,2,3,9,10,7,8]=>([(0,7),(1,6),(2,8),(2,9),(3,8),(3,9),(6,2),(7,3),(8,5),(9,4)],10)
[3,4,1,2,6,5,9,10,7,8]=>([(0,5),(1,4),(4,6),(4,7),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9),(8,3),(9,2)],10)
[2,1,4,3,6,5,9,10,7,8]=>([(0,8),(0,9),(1,8),(1,9),(4,3),(5,2),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[2,1,4,3,6,5,10,9,8,7]=>([(0,6),(0,7),(1,6),(1,7),(6,8),(6,9),(7,8),(7,9),(8,2),(8,3),(8,4),(8,5),(9,2),(9,3),(9,4),(9,5)],10)
[4,3,2,1,6,5,10,9,8,7]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(8,4),(8,5),(8,6),(8,7),(9,4),(9,5),(9,6),(9,7)],10)
[6,3,2,5,4,1,10,9,8,7]=>([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[10,3,2,5,4,9,8,7,6,1]=>([(2,8),(2,9),(3,8),(3,9),(8,4),(8,5),(8,6),(8,7),(9,4),(9,5),(9,6),(9,7)],10)
[2,1,6,5,4,3,10,9,8,7]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[6,5,4,3,2,1,10,9,8,7]=>([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[10,5,4,3,2,9,8,7,6,1]=>([(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[2,1,10,5,4,9,8,7,6,3]=>([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(8,2),(8,3),(8,4),(8,5),(9,2),(9,3),(9,4),(9,5)],10)
[10,9,4,3,8,7,6,5,2,1]=>([(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[9,7,5,10,3,8,2,6,1,4]=>([(0,7),(1,6),(2,6),(2,8),(3,7),(3,9),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9)],10)
[2,1,4,3,10,9,8,7,6,5]=>([(0,8),(0,9),(1,8),(1,9),(8,2),(8,3),(8,4),(8,5),(8,6),(8,7),(9,2),(9,3),(9,4),(9,5),(9,6),(9,7)],10)
[4,3,2,1,10,9,8,7,6,5]=>([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9)],10)
[10,3,2,9,8,7,6,5,4,1]=>([(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9)],10)
[2,1,10,9,8,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9)],10)
[9,10,8,7,6,5,4,3,1,2]=>([(6,9),(7,8)],10)
[10,9,8,7,6,5,4,3,2,1]=>([],10)
[3,4,2,1,6,5,8,7,10,9]=>([(0,8),(0,9),(1,8),(1,9),(2,3),(3,8),(3,9),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[3,5,2,6,4,1,8,7,10,9]=>([(0,8),(0,9),(1,3),(1,4),(2,4),(2,7),(3,7),(4,8),(4,9),(7,8),(7,9),(8,5),(8,6),(9,5),(9,6)],10)
[3,5,2,7,4,8,6,1,10,9]=>([(0,8),(0,9),(1,3),(1,7),(2,6),(2,7),(3,5),(3,6),(4,8),(4,9),(5,8),(5,9),(6,4),(7,4),(7,5)],10)
[3,5,2,7,4,9,6,10,8,1]=>([(1,3),(1,7),(2,7),(2,9),(3,8),(3,9),(6,5),(7,6),(7,8),(8,4),(8,5),(9,4),(9,6)],10)
[2,1,5,6,4,3,8,7,10,9]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,8),(2,9),(5,8),(5,9),(6,8),(6,9),(7,2),(8,3),(8,4),(9,3),(9,4)],10)
[4,5,6,3,2,1,8,7,10,9]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,4),(4,5),(5,8),(5,9),(8,6),(8,7),(9,6),(9,7)],10)
[4,5,7,3,2,8,6,1,10,9]=>([(0,6),(0,9),(1,6),(1,9),(2,7),(2,8),(3,4),(4,5),(4,9),(5,6),(6,7),(6,8),(9,7),(9,8)],10)
[4,5,7,3,2,9,6,10,8,1]=>([(1,8),(1,9),(2,8),(2,9),(3,4),(4,5),(4,9),(5,6),(5,8),(8,7),(9,6),(9,7)],10)
[2,1,5,7,4,8,6,3,10,9]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,2),(6,3),(7,3),(7,4)],10)
[4,6,7,3,8,5,2,1,10,9]=>([(0,8),(0,9),(1,8),(1,9),(2,6),(2,7),(3,4),(3,6),(4,5),(5,7),(6,8),(6,9),(7,8),(7,9)],10)
[4,6,7,3,9,5,2,10,8,1]=>([(1,8),(1,9),(2,6),(2,7),(3,4),(3,7),(4,5),(5,6),(5,8),(6,9),(7,8),(7,9)],10)
[2,1,5,7,4,9,6,10,8,3]=>([(0,5),(0,7),(0,9),(1,5),(1,7),(1,9),(2,4),(2,6),(6,3),(7,2),(7,8),(8,3),(8,4),(9,6),(9,8)],10)
[4,6,8,3,9,5,10,7,2,1]=>([(2,6),(2,7),(3,4),(3,6),(4,5),(4,9),(5,7),(6,8),(6,9),(7,8)],10)
[2,1,4,3,7,8,6,5,10,9]=>([(0,6),(0,7),(1,6),(1,7),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,2),(6,3),(6,4),(6,5),(7,3),(7,4),(7,5)],10)
[3,4,2,1,7,8,6,5,10,9]=>([(0,4),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,5),(3,6),(4,7),(4,8),(4,9),(7,3),(8,5),(8,6),(9,5),(9,6)],10)
[3,6,2,7,8,5,4,1,10,9]=>([(0,8),(0,9),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,4)],10)
[3,6,2,7,9,5,4,10,8,1]=>([(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,7),(4,9),(5,8),(5,9),(6,8),(6,9),(7,4),(7,8)],10)
[2,1,6,7,8,5,4,3,10,9]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,2)],10)
[5,6,7,8,4,3,2,1,10,9]=>([(0,5),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(6,8),(6,9),(7,6)],10)
[5,6,7,9,4,3,2,10,8,1]=>([(1,5),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(6,8),(7,6),(7,9)],10)
[2,1,6,7,9,5,4,10,8,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,9),(3,8),(5,8),(5,9),(6,8),(6,9),(7,2)],10)
[5,6,8,9,4,3,10,7,2,1]=>([(2,5),(3,8),(3,9),(4,8),(4,9),(5,7),(5,8),(6,9),(7,6)],10)
[2,1,4,3,7,9,6,10,8,5]=>([(0,8),(0,9),(1,8),(1,9),(2,5),(6,2),(6,4),(7,4),(7,5),(8,3),(8,6),(8,7),(9,3),(9,6),(9,7)],10)
[3,4,2,1,7,9,6,10,8,5]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,4),(3,6),(4,7),(4,8),(4,9),(8,5),(8,6),(9,3),(9,5)],10)
[3,6,2,8,9,5,10,7,4,1]=>([(1,4),(1,6),(1,9),(2,6),(2,7),(2,9),(3,8),(4,5),(4,7),(7,3),(9,5),(9,8)],10)
[2,1,6,8,9,5,10,7,4,3]=>([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,3),(3,5),(8,2),(8,4),(9,4),(9,5)],10)
[5,7,8,9,4,10,6,3,2,1]=>([(3,8),(3,9),(4,5),(4,8),(5,7),(6,9),(7,6)],10)
[6,7,8,9,10,1,4,5,3,2]=>([(0,9),(1,4),(1,5),(1,8),(6,7),(7,3),(8,2),(9,6)],10)
[6,7,8,9,10,1,4,5,2,3]=>([(0,9),(1,7),(1,8),(5,6),(6,2),(7,4),(8,3),(9,5)],10)
[6,7,8,9,10,4,3,2,1,5]=>([(0,5),(1,9),(2,9),(3,9),(4,9),(5,8),(7,6),(8,7)],10)
[6,7,8,9,10,1,3,4,5,2]=>([(0,9),(1,4),(1,8),(5,6),(6,2),(7,3),(8,7),(9,5)],10)
[6,7,8,9,10,3,4,1,2,5]=>([(0,5),(1,4),(2,8),(4,9),(5,9),(6,7),(7,3),(8,6)],10)
[6,7,8,9,10,3,4,2,1,5]=>([(0,9),(1,9),(2,8),(3,5),(5,9),(6,7),(7,4),(8,6)],10)
[6,7,8,9,10,2,3,4,1,5]=>([(0,9),(1,7),(2,8),(4,9),(5,6),(6,3),(7,5),(8,4)],10)
[2,1,4,3,6,5,9,10,8,7]=>([(0,6),(0,7),(1,6),(1,7),(5,2),(6,8),(6,9),(7,8),(7,9),(8,3),(8,4),(8,5),(9,3),(9,4),(9,5)],10)
[3,4,2,1,6,5,9,10,8,7]=>([(0,8),(0,9),(1,8),(1,9),(2,4),(4,8),(4,9),(7,3),(8,5),(8,6),(8,7),(9,5),(9,6),(9,7)],10)
[3,5,2,6,4,1,9,10,8,7]=>([(0,7),(0,8),(0,9),(1,5),(1,6),(2,4),(2,5),(4,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(9,3)],10)
[3,5,2,8,4,9,10,7,6,1]=>([(1,4),(1,9),(2,8),(2,9),(4,5),(4,6),(4,8),(7,3),(8,7),(9,5),(9,6),(9,7)],10)
[2,1,5,6,4,3,9,10,8,7]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,3),(9,2)],10)
[4,5,6,3,2,1,9,10,8,7]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,5),(5,6),(6,7),(6,8),(6,9),(9,4)],10)
[4,5,8,3,2,9,10,7,6,1]=>([(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,5),(5,6),(5,8),(5,9),(6,7),(7,4)],10)
[2,1,5,8,4,9,10,7,6,3]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(3,6),(6,2),(8,3),(8,4),(8,5),(9,4),(9,5),(9,6)],10)
[4,7,8,3,9,10,6,5,2,1]=>([(2,7),(2,8),(2,9),(3,5),(3,7),(3,8),(5,6),(6,9),(9,4)],10)
[2,1,4,3,8,9,10,7,6,5]=>([(0,8),(0,9),(1,8),(1,9),(2,3),(7,2),(8,4),(8,5),(8,6),(8,7),(9,4),(9,5),(9,6),(9,7)],10)
[3,4,2,1,8,9,10,7,6,5]=>([(0,5),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(5,6),(5,7),(5,8),(5,9),(9,3)],10)
[3,7,2,8,9,10,6,5,4,1]=>([(1,5),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(2,9),(3,4),(5,9),(9,3)],10)
[2,1,7,8,9,10,6,5,4,3]=>([(0,5),(0,6),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(4,3),(9,2)],10)
[6,7,8,9,10,1,5,4,3,2]=>([(0,9),(1,3),(1,4),(1,5),(1,6),(7,8),(8,2),(9,7)],10)
[6,7,8,9,10,5,4,3,2,1]=>([(5,6),(6,9),(8,7),(9,8)],10)
[2,3,4,5,6,7,8,9,10,1]=>([(1,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,2),(9,7)],10)
[2,3,4,5,6,7,8,9,1,10]=>([(0,9),(1,8),(2,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6)],10)
[2,3,4,5,6,7,8,10,1,9]=>([(0,9),(1,7),(3,4),(4,6),(5,3),(6,8),(7,5),(8,2),(8,9)],10)
[2,3,4,5,6,7,9,10,1,8]=>([(0,9),(1,7),(3,5),(4,3),(5,8),(6,2),(7,4),(8,6),(8,9)],10)
[2,3,4,5,6,8,9,10,1,7]=>([(0,9),(1,7),(3,4),(4,8),(5,6),(6,2),(7,3),(8,5),(8,9)],10)
[2,3,4,5,7,8,9,10,1,6]=>([(0,9),(1,7),(3,6),(4,8),(5,3),(6,2),(7,4),(8,5),(8,9)],10)
[2,3,4,6,7,8,9,10,1,5]=>([(0,9),(1,7),(3,4),(4,6),(5,3),(6,2),(7,8),(8,5),(8,9)],10)
[2,3,5,6,7,8,9,10,1,4]=>([(0,9),(1,8),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(8,9)],10)
[2,4,5,6,7,8,9,10,1,3]=>([(0,9),(1,8),(1,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6)],10)
[3,4,5,6,7,8,9,10,1,2]=>([(0,9),(1,3),(4,6),(5,4),(6,8),(7,5),(8,2),(9,7)],10)
[10,8,9,5,6,7,1,2,3,4]=>([(1,6),(2,8),(3,9),(7,4),(8,5),(9,7)],10)
[10,8,9,4,5,6,1,2,3,7]=>([(1,6),(2,8),(3,7),(4,9),(5,9),(7,4),(8,5)],10)
[10,7,8,5,6,9,1,2,3,4]=>([(1,6),(2,5),(3,8),(5,9),(6,9),(7,4),(8,7)],10)
[10,7,8,4,5,9,1,2,3,6]=>([(1,4),(2,5),(3,6),(4,9),(5,7),(6,8),(6,9),(7,8)],10)
[10,6,7,4,5,8,1,2,3,9]=>([(1,5),(2,4),(3,6),(4,9),(5,9),(6,7),(7,8),(9,8)],10)
[10,7,8,3,4,9,1,2,5,6]=>([(1,4),(2,7),(3,6),(4,9),(6,8),(7,8),(7,9),(9,5)],10)
[10,6,7,3,4,8,1,2,5,9]=>([(1,5),(2,4),(3,6),(4,8),(5,9),(6,8),(6,9),(8,7),(9,7)],10)
[9,8,10,5,6,7,1,2,3,4]=>([(0,9),(1,9),(2,7),(3,8),(6,5),(7,6),(8,4)],10)
[9,8,10,4,5,6,1,2,3,7]=>([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,9),(7,9)],10)
[9,7,10,5,6,8,1,2,3,4]=>([(0,8),(1,8),(1,9),(2,4),(3,5),(4,9),(5,6),(6,7)],10)
[9,7,10,4,5,8,1,2,3,6]=>([(0,7),(1,7),(1,8),(2,4),(3,5),(4,6),(5,8),(5,9),(6,9)],10)
[9,6,10,4,5,7,1,2,3,8]=>([(0,7),(1,7),(1,9),(2,4),(3,5),(4,9),(5,6),(6,8),(9,8)],10)
[9,7,10,3,4,8,1,2,5,6]=>([(0,7),(1,7),(1,8),(2,4),(3,6),(4,9),(6,8),(6,9),(9,5)],10)
[9,6,10,3,4,7,1,2,5,8]=>([(0,6),(1,6),(1,8),(2,4),(3,5),(4,9),(5,8),(5,9),(8,7),(9,7)],10)
[8,7,9,5,6,10,1,2,3,4]=>([(0,8),(1,8),(2,4),(3,5),(4,9),(5,6),(6,7),(8,9)],10)
[8,7,9,4,5,10,1,2,3,6]=>([(0,7),(1,7),(2,4),(3,5),(4,6),(5,8),(5,9),(6,9),(7,8)],10)
[8,6,9,4,5,10,1,2,3,7]=>([(0,7),(1,7),(1,9),(2,4),(3,5),(4,6),(5,8),(5,9),(6,9),(7,8)],10)
[7,6,8,4,5,9,1,2,3,10]=>([(0,7),(1,7),(2,4),(3,5),(4,9),(5,6),(6,8),(7,9),(9,8)],10)
[8,7,9,3,4,10,1,2,5,6]=>([(0,7),(1,7),(2,4),(3,6),(4,9),(6,8),(6,9),(7,8),(9,5)],10)
[8,6,9,3,4,10,1,2,5,7]=>([(0,7),(1,6),(1,7),(2,4),(3,5),(4,9),(5,8),(5,9),(7,8),(9,6)],10)
[7,6,8,3,4,9,1,2,5,10]=>([(0,6),(1,6),(2,4),(3,5),(4,9),(5,8),(5,9),(6,8),(8,7),(9,7)],10)
[9,6,10,5,7,8,1,2,3,4]=>([(0,9),(1,8),(2,8),(2,9),(3,5),(5,6),(6,7),(9,4)],10)
[9,6,10,4,7,8,1,2,3,5]=>([(0,7),(1,7),(1,9),(2,8),(2,9),(3,5),(5,6),(6,8),(9,4)],10)
[9,5,10,4,6,7,1,2,3,8]=>([(0,8),(1,7),(2,7),(2,8),(3,5),(4,9),(5,6),(6,9),(8,4)],10)
[9,6,10,3,7,8,1,2,4,5]=>([(0,8),(0,9),(1,7),(2,7),(2,8),(3,5),(5,9),(8,4),(9,6)],10)
[9,5,10,3,6,7,1,2,4,8]=>([(0,7),(0,8),(1,6),(2,6),(2,7),(3,5),(4,9),(5,8),(7,4),(8,9)],10)
[8,6,9,5,7,10,1,2,3,4]=>([(0,4),(1,8),(2,7),(3,7),(3,8),(4,6),(6,5),(7,9),(8,9)],10)
[8,6,9,4,7,10,1,2,3,5]=>([(0,7),(1,6),(1,7),(2,6),(2,8),(3,4),(4,5),(5,8),(6,9),(7,9)],10)
[8,5,9,4,6,10,1,2,3,7]=>([(0,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,8),(6,9),(7,8),(7,9)],10)
[7,5,8,4,6,9,1,2,3,10]=>([(0,7),(1,6),(2,6),(2,7),(3,4),(4,5),(5,8),(6,9),(7,9),(9,8)],10)
[8,6,9,3,7,10,1,2,4,5]=>([(0,6),(1,7),(1,9),(2,6),(2,7),(3,4),(4,9),(6,8),(7,8),(9,5)],10)
[8,5,9,3,6,10,1,2,4,7]=>([(0,4),(1,7),(2,8),(2,9),(3,7),(3,9),(4,8),(7,6),(8,5),(9,5),(9,6)],10)
[7,5,8,3,6,9,1,2,4,10]=>([(0,4),(1,7),(2,7),(2,9),(3,8),(3,9),(4,8),(6,5),(7,6),(8,5),(9,6)],10)
[8,4,9,3,5,10,1,2,6,7]=>([(0,6),(1,7),(2,6),(2,7),(3,4),(4,9),(6,8),(7,8),(7,9),(9,5)],10)
[7,4,8,3,5,9,1,2,6,10]=>([(0,4),(1,8),(2,9),(3,8),(3,9),(4,7),(6,5),(7,5),(8,6),(9,6),(9,7)],10)
[9,6,10,2,7,8,1,3,4,5]=>([(0,7),(1,9),(2,7),(2,8),(3,8),(3,9),(5,6),(8,4),(9,5)],10)
[9,5,10,2,6,7,1,3,4,8]=>([(0,6),(1,7),(2,6),(2,8),(3,7),(3,8),(4,9),(5,9),(7,4),(8,5)],10)
[8,6,9,2,7,10,1,3,4,5]=>([(0,9),(1,6),(2,7),(2,9),(3,6),(3,7),(4,5),(6,8),(7,8),(9,4)],10)
[8,5,9,2,6,10,1,3,4,7]=>([(0,7),(1,8),(2,7),(2,9),(3,8),(3,9),(4,6),(7,4),(8,5),(9,5),(9,6)],10)
[7,5,8,2,6,9,1,3,4,10]=>([(0,9),(1,6),(2,8),(2,9),(3,6),(3,8),(4,5),(6,4),(7,5),(8,7),(9,7)],10)
[8,4,9,2,5,10,1,3,6,7]=>([(0,7),(1,8),(2,7),(2,9),(3,8),(3,9),(6,4),(7,5),(8,6),(9,5),(9,6)],10)
[7,4,8,2,5,9,1,3,6,10]=>([(0,8),(1,7),(2,7),(2,9),(3,8),(3,9),(5,4),(6,4),(7,5),(8,6),(9,5),(9,6)],10)
[1,2,3,4,5,6,7,8,10,9]=>([(0,8),(3,5),(4,3),(5,7),(6,4),(7,9),(8,6),(9,1),(9,2)],10)
[2,1,3,4,5,6,7,8,9,10]=>([(0,9),(1,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,8)],10)
[9,1,2,3,4,5,6,7,10,8]=>([(0,9),(1,7),(3,4),(4,6),(5,3),(6,8),(7,5),(8,2),(8,9)],10)
[2,10,1,3,4,5,6,7,8,9]=>([(0,9),(1,3),(1,9),(4,5),(5,7),(6,4),(7,2),(8,6),(9,8)],10)
[1,2,3,4,5,6,7,8,9,10]=>([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)
[1,2,3,4,5,6,7,9,10,8]=>([(0,8),(3,4),(4,6),(5,3),(6,9),(7,1),(8,5),(9,2),(9,7)],10)
[1,2,3,4,5,6,8,9,10,7]=>([(0,8),(3,5),(4,3),(5,9),(6,7),(7,1),(8,4),(9,2),(9,6)],10)
[1,2,3,4,5,7,8,9,10,6]=>([(0,8),(3,7),(4,5),(5,9),(6,3),(7,1),(8,4),(9,2),(9,6)],10)
[1,2,3,4,6,7,8,9,10,5]=>([(0,8),(3,4),(4,7),(5,9),(6,3),(7,1),(8,5),(9,2),(9,6)],10)
[1,2,3,5,6,7,8,9,10,4]=>([(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,9),(9,2),(9,6)],10)
[1,2,4,5,6,7,8,9,10,3]=>([(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(9,2),(9,7)],10)
[1,3,4,5,6,7,8,9,10,2]=>([(0,2),(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)
[9,10,8,7,6,5,4,3,2,1]=>([(8,9)],10)
[9,8,10,7,6,5,4,3,2,1]=>([(7,9),(8,9)],10)
[9,8,7,10,6,5,4,3,2,1]=>([(6,9),(7,9),(8,9)],10)
[9,8,7,6,10,5,4,3,2,1]=>([(5,9),(6,9),(7,9),(8,9)],10)
[9,8,7,6,5,10,4,3,2,1]=>([(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[9,8,7,6,5,4,10,3,2,1]=>([(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[9,8,7,6,5,4,3,10,2,1]=>([(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[9,8,7,6,5,4,3,2,10,1]=>([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[9,8,7,6,5,4,3,2,1,10]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[10,1,2,3,4,5,6,7,8,9]=>([(1,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,2),(9,7)],10)
[10,1,2,3,4,5,6,9,7,8]=>([(1,8),(4,6),(5,4),(6,9),(7,2),(8,5),(9,3),(9,7)],10)
[10,1,2,3,4,5,9,6,7,8]=>([(1,8),(4,5),(5,9),(6,7),(7,2),(8,4),(9,3),(9,6)],10)
[9,1,2,3,4,10,5,6,7,8]=>([(0,9),(1,7),(3,6),(4,8),(5,3),(6,2),(7,4),(8,5),(8,9)],10)
[10,1,2,3,9,4,5,6,7,8]=>([(1,8),(4,5),(5,7),(6,4),(7,2),(8,9),(9,3),(9,6)],10)
[10,1,2,9,3,4,5,6,7,8]=>([(1,9),(4,6),(5,4),(6,8),(7,5),(8,2),(9,3),(9,7)],10)
[9,1,10,2,3,4,5,6,7,8]=>([(0,9),(1,8),(1,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6)],10)
[10,9,1,2,3,4,5,6,7,8]=>([(2,9),(4,6),(5,4),(6,8),(7,5),(8,3),(9,7)],10)
[8,1,2,3,4,5,6,9,10,7]=>([(0,9),(1,7),(4,6),(5,4),(6,8),(7,5),(8,2),(8,9),(9,3)],10)
[7,1,2,3,4,5,10,9,6,8]=>([(0,7),(0,8),(0,9),(1,5),(2,9),(3,4),(4,6),(5,3),(6,2),(6,7),(6,8)],10)
[6,1,2,3,4,10,9,5,7,8]=>([(0,7),(0,8),(0,9),(1,5),(2,9),(4,6),(5,4),(6,2),(6,7),(6,8),(9,3)],10)
[5,1,2,3,9,10,4,6,7,8]=>([(0,8),(0,9),(1,6),(4,8),(5,4),(5,9),(6,5),(7,2),(8,7),(9,3)],10)
[4,1,2,10,9,3,5,6,7,8]=>([(0,7),(0,8),(0,9),(1,6),(3,9),(4,5),(5,2),(6,3),(6,7),(6,8),(9,4)],10)
[3,1,10,9,2,4,5,6,7,8]=>([(0,7),(0,8),(0,9),(1,3),(1,7),(1,8),(3,9),(4,6),(5,4),(6,2),(9,5)],10)
[2,9,10,1,3,4,5,6,7,8]=>([(0,9),(1,7),(1,9),(4,6),(5,4),(6,2),(7,3),(8,5),(9,8)],10)
[1,10,9,8,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10)
[9,8,7,5,6,4,3,2,1,10]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(8,9)],10)
[1,10,9,8,6,7,5,4,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(9,1)],10)
[10,2,1,3,4,5,6,7,8,9]=>([(1,9),(2,9),(4,5),(5,7),(6,4),(7,3),(8,6),(9,8)],10)
[3,2,4,5,6,7,8,9,10,1]=>([(1,9),(2,9),(4,5),(5,7),(6,4),(7,3),(8,6),(9,8)],10)
[2,4,6,8,10,1,3,5,7,9]=>([(0,9),(1,3),(1,9),(3,4),(3,6),(4,5),(4,8),(5,2),(5,7),(6,8),(8,7),(9,6)],10)
[2,4,6,9,10,1,3,5,7,8]=>([(0,9),(1,6),(1,9),(4,5),(4,8),(5,2),(6,4),(6,7),(7,8),(8,3),(9,7)],10)
[2,4,7,8,10,1,3,5,6,9]=>([(0,9),(1,6),(1,9),(3,7),(4,5),(5,2),(5,7),(6,4),(6,8),(8,3),(9,8)],10)
[2,4,7,9,10,1,3,5,6,8]=>([(0,9),(1,6),(1,9),(3,7),(4,2),(5,4),(5,7),(6,5),(6,8),(8,3),(9,8)],10)
[2,4,8,9,10,1,3,5,6,7]=>([(0,8),(1,7),(1,8),(4,5),(5,2),(6,3),(7,4),(7,9),(8,9),(9,6)],10)
[2,5,6,8,10,1,3,4,7,9]=>([(0,9),(1,5),(1,9),(3,7),(4,2),(4,8),(5,6),(6,4),(6,7),(7,8),(9,3)],10)
[2,5,6,9,10,1,3,4,7,8]=>([(0,9),(1,6),(1,9),(3,8),(5,2),(6,7),(7,5),(7,8),(8,4),(9,3)],10)
[2,5,7,8,10,1,3,4,6,9]=>([(0,9),(1,6),(1,9),(3,7),(4,5),(5,2),(5,8),(6,4),(6,7),(7,8),(9,3)],10)
[2,5,7,9,10,1,3,4,6,8]=>([(0,9),(1,6),(1,9),(3,7),(4,5),(4,8),(5,2),(6,4),(6,7),(7,8),(9,3)],10)
[2,5,8,9,10,1,3,4,6,7]=>([(0,9),(1,7),(1,9),(3,8),(5,6),(6,2),(7,5),(7,8),(8,4),(9,3)],10)
[2,6,7,8,10,1,3,4,5,9]=>([(0,9),(1,6),(1,9),(3,8),(4,7),(5,3),(6,4),(7,2),(7,8),(9,5)],10)
[2,6,7,9,10,1,3,4,5,8]=>([(0,9),(1,6),(1,9),(3,8),(4,3),(5,2),(6,7),(7,5),(7,8),(9,4)],10)
[2,6,8,9,10,1,3,4,5,7]=>([(0,9),(1,7),(1,9),(3,8),(4,6),(5,3),(6,2),(7,4),(7,8),(9,5)],10)
[2,7,8,9,10,1,3,4,5,6]=>([(0,9),(1,7),(1,9),(4,5),(5,2),(6,3),(7,4),(8,6),(9,8)],10)
[3,4,6,8,10,1,2,5,7,9]=>([(0,6),(1,3),(3,7),(4,5),(4,9),(5,2),(5,8),(6,4),(6,7),(7,9),(9,8)],10)
[3,4,6,9,10,1,2,5,7,8]=>([(0,7),(1,4),(4,8),(5,6),(5,9),(6,3),(7,5),(7,8),(8,9),(9,2)],10)
[3,4,7,8,10,1,2,5,6,9]=>([(0,7),(1,4),(3,8),(4,9),(5,6),(6,2),(6,8),(7,5),(7,9),(9,3)],10)
[3,4,7,9,10,1,2,5,6,8]=>([(0,7),(1,4),(3,8),(4,9),(5,2),(6,5),(6,8),(7,6),(7,9),(9,3)],10)
[3,4,8,9,10,1,2,5,6,7]=>([(0,8),(1,4),(4,9),(5,6),(6,2),(7,3),(8,5),(8,9),(9,7)],10)
[3,5,6,8,10,1,2,4,7,9]=>([(0,6),(0,9),(1,3),(3,9),(4,2),(4,8),(5,4),(5,7),(6,5),(7,8),(9,7)],10)
[3,5,6,9,10,1,2,4,7,8]=>([(0,4),(1,7),(1,8),(4,8),(5,6),(5,9),(6,3),(7,5),(8,9),(9,2)],10)
[3,5,7,8,10,1,2,4,6,9]=>([(0,6),(0,9),(1,3),(3,9),(4,5),(5,2),(5,8),(6,4),(6,7),(7,8),(9,7)],10)
[3,5,7,9,10,1,2,4,6,8]=>([(0,6),(0,9),(1,3),(3,9),(4,5),(4,8),(5,2),(6,4),(6,7),(7,8),(9,7)],10)
[3,5,8,9,10,1,2,4,6,7]=>([(0,4),(1,7),(1,8),(4,8),(5,6),(6,3),(7,5),(7,9),(8,9),(9,2)],10)
[3,6,7,8,10,1,2,4,5,9]=>([(0,4),(1,7),(1,9),(3,8),(4,9),(5,6),(6,2),(6,8),(7,5),(9,3)],10)
[3,6,7,9,10,1,2,4,5,8]=>([(0,4),(1,7),(1,9),(3,8),(4,9),(5,2),(6,5),(6,8),(7,6),(9,3)],10)
[3,6,8,9,10,1,2,4,5,7]=>([(0,4),(1,7),(1,9),(3,8),(4,9),(5,6),(6,2),(7,5),(7,8),(9,3)],10)
[3,7,8,9,10,1,2,4,5,6]=>([(0,4),(1,8),(1,9),(4,9),(5,6),(6,2),(7,3),(8,5),(9,7)],10)
[4,5,6,8,10,1,2,3,7,9]=>([(0,6),(1,7),(3,8),(4,2),(4,9),(5,4),(5,8),(6,5),(7,3),(8,9)],10)
[4,5,6,9,10,1,2,3,7,8]=>([(0,7),(1,8),(3,9),(5,2),(6,5),(6,9),(7,6),(8,3),(9,4)],10)
[4,5,7,8,10,1,2,3,6,9]=>([(0,7),(1,6),(3,8),(4,5),(5,2),(5,9),(6,3),(7,4),(7,8),(8,9)],10)
[4,5,7,9,10,1,2,3,6,8]=>([(0,7),(1,6),(3,8),(4,5),(4,9),(5,2),(6,3),(7,4),(7,8),(8,9)],10)
[4,5,8,9,10,1,2,3,6,7]=>([(0,8),(1,7),(3,9),(5,6),(6,2),(7,3),(8,5),(8,9),(9,4)],10)
[4,6,7,8,10,1,2,3,5,9]=>([(0,7),(1,6),(1,9),(3,9),(4,5),(5,2),(5,8),(6,4),(7,3),(9,8)],10)
[4,6,7,9,10,1,2,3,5,8]=>([(0,7),(1,6),(1,9),(3,9),(4,2),(5,4),(5,8),(6,5),(7,3),(9,8)],10)
[4,6,8,9,10,1,2,3,5,7]=>([(0,7),(0,9),(1,6),(3,9),(4,5),(5,2),(6,3),(7,4),(7,8),(9,8)],10)
[4,7,8,9,10,1,2,3,5,6]=>([(0,7),(1,8),(1,9),(3,9),(5,6),(6,2),(7,3),(8,5),(9,4)],10)
[5,6,7,8,10,1,2,3,4,9]=>([(0,7),(1,8),(3,9),(4,6),(5,3),(6,2),(6,9),(7,4),(8,5)],10)
[5,6,7,9,10,1,2,3,4,8]=>([(0,7),(1,8),(3,9),(4,3),(5,2),(6,5),(6,9),(7,4),(8,6)],10)
[5,6,8,9,10,1,2,3,4,7]=>([(0,8),(1,7),(3,9),(4,6),(5,3),(6,2),(7,5),(8,4),(8,9)],10)
[5,7,8,9,10,1,2,3,4,6]=>([(0,7),(1,8),(1,9),(3,9),(4,6),(5,3),(6,2),(7,5),(8,4)],10)
[3,1,4,5,6,7,8,9,10,2]=>([(0,9),(1,3),(1,9),(4,5),(5,7),(6,4),(7,2),(8,6),(9,8)],10)
[10,3,4,5,6,7,8,1,2,9]=>([(1,8),(2,4),(3,9),(4,9),(5,7),(6,5),(7,3),(8,6)],10)
[10,1,4,5,6,7,8,9,2,3]=>([(1,8),(1,9),(4,5),(5,7),(6,4),(7,3),(8,6),(9,2)],10)
[2,10,4,5,6,7,8,1,3,9]=>([(0,9),(1,2),(1,7),(1,9),(3,8),(4,6),(5,4),(6,3),(7,5),(9,8)],10)
[8,3,4,5,6,7,1,10,2,9]=>([(0,8),(0,9),(1,7),(2,4),(2,9),(3,8),(3,9),(4,8),(5,6),(6,3),(7,5)],10)
[3,1,10,5,6,7,8,9,2,4]=>([(0,7),(0,8),(0,9),(1,3),(1,8),(1,9),(3,7),(4,6),(5,4),(6,2),(9,5)],10)
[9,1,4,5,6,7,8,2,10,3]=>([(0,9),(1,7),(1,8),(3,9),(4,6),(5,4),(6,3),(7,5),(8,2),(8,9)],10)
[9,10,1,2,3,4,5,6,7,8]=>([(0,9),(1,3),(4,6),(5,4),(6,8),(7,5),(8,2),(9,7)],10)
[8,9,10,1,2,3,4,5,6,7]=>([(0,9),(1,8),(4,5),(5,7),(6,4),(7,3),(8,6),(9,2)],10)
[10,8,9,1,2,3,4,5,6,7]=>([(1,9),(2,4),(5,6),(6,8),(7,5),(8,3),(9,7)],10)
[10,9,8,1,2,3,4,5,6,7]=>([(3,9),(5,6),(6,8),(7,5),(8,4),(9,7)],10)
[7,8,9,10,1,2,3,4,5,6]=>([(0,8),(1,9),(4,6),(5,4),(6,3),(7,2),(8,7),(9,5)],10)
[10,7,8,9,1,2,3,4,5,6]=>([(1,9),(2,8),(5,7),(6,5),(7,4),(8,6),(9,3)],10)
[9,10,7,8,1,2,3,4,5,6]=>([(0,9),(1,5),(2,4),(6,8),(7,6),(8,3),(9,7)],10)
[10,9,7,8,1,2,3,4,5,6]=>([(2,9),(3,5),(6,8),(7,6),(8,4),(9,7)],10)
[10,9,8,7,1,2,3,4,5,6]=>([(4,5),(5,9),(7,8),(8,6),(9,7)],10)
[10,6,7,8,9,1,2,3,4,5]=>([(1,8),(2,9),(5,6),(6,3),(7,4),(8,7),(9,5)],10)
[9,10,6,7,8,1,2,3,4,5]=>([(0,9),(1,8),(2,5),(6,7),(7,4),(8,6),(9,3)],10)
[10,9,6,7,8,1,2,3,4,5]=>([(2,9),(3,8),(6,7),(7,5),(8,6),(9,4)],10)
[10,8,9,6,7,1,2,3,4,5]=>([(1,6),(2,5),(3,9),(7,8),(8,4),(9,7)],10)
[10,9,8,6,7,1,2,3,4,5]=>([(3,6),(4,5),(6,9),(8,7),(9,8)],10)
[10,9,8,7,6,1,2,3,4,5]=>([(5,6),(6,9),(8,7),(9,8)],10)
[9,10,5,6,7,8,1,2,3,4]=>([(0,9),(1,8),(2,5),(6,3),(7,4),(8,6),(9,7)],10)
[10,9,5,6,7,8,1,2,3,4]=>([(2,9),(3,8),(6,4),(7,5),(8,6),(9,7)],10)
[8,9,10,5,6,7,1,2,3,4]=>([(0,9),(1,8),(2,7),(6,5),(7,6),(8,3),(9,4)],10)
[10,9,8,5,6,7,1,2,3,4]=>([(3,5),(4,6),(5,8),(6,9),(9,7)],10)
[9,10,7,8,5,6,1,2,3,4]=>([(0,7),(1,6),(2,5),(3,9),(8,4),(9,8)],10)
[10,9,7,8,5,6,1,2,3,4]=>([(2,6),(3,5),(4,7),(7,8),(8,9)],10)
[10,9,8,7,5,6,1,2,3,4]=>([(4,6),(5,7),(7,8),(8,9)],10)
[10,9,8,7,6,5,1,2,3,4]=>([(6,7),(7,9),(9,8)],10)
[10,7,8,9,4,5,6,1,2,3]=>([(1,9),(2,8),(3,7),(7,4),(8,5),(9,6)],10)
[9,10,7,8,4,5,6,1,2,3]=>([(0,7),(1,6),(2,9),(3,8),(8,4),(9,5)],10)
[10,9,7,8,4,5,6,1,2,3]=>([(2,7),(3,6),(4,5),(6,8),(7,9)],10)
[10,9,8,7,4,5,6,1,2,3]=>([(4,7),(5,6),(6,8),(7,9)],10)
[10,8,9,6,7,4,5,1,2,3]=>([(1,7),(2,6),(3,5),(4,8),(8,9)],10)
[10,9,8,6,7,4,5,1,2,3]=>([(3,7),(4,6),(5,8),(8,9)],10)
[10,9,8,7,6,4,5,1,2,3]=>([(5,7),(6,8),(8,9)],10)
[10,9,8,7,6,5,4,1,2,3]=>([(7,8),(8,9)],10)
[9,10,7,8,5,6,3,4,1,2]=>([(0,9),(1,8),(2,7),(3,6),(4,5)],10)
[10,9,7,8,5,6,3,4,1,2]=>([(2,9),(3,8),(4,7),(5,6)],10)
[10,9,8,7,5,6,3,4,1,2]=>([(4,9),(5,8),(6,7)],10)
[10,9,8,7,6,5,3,4,1,2]=>([(6,9),(7,8)],10)
[10,9,8,7,6,5,4,3,1,2]=>([(8,9)],10)
[8,9,7,6,5,4,3,2,1,10]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(8,9)],10)
[1,9,10,8,7,6,5,4,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(9,1)],10)
[9,1,2,3,4,5,6,7,8,10]=>([(0,9),(1,8),(2,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6)],10)
[1,10,2,3,4,5,6,7,8,9]=>([(0,2),(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)
[8,9,1,2,3,4,5,6,7,10]=>([(0,8),(1,3),(2,9),(3,9),(4,5),(5,7),(6,4),(7,2),(8,6)],10)
[1,9,10,2,3,4,5,6,7,8]=>([(0,8),(0,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,1)],10)
[2,4,1,3,6,5,8,7,10,9]=>([(0,9),(1,2),(1,9),(2,7),(2,8),(5,3),(5,4),(6,3),(6,4),(7,5),(7,6),(8,5),(8,6),(9,7),(9,8)],10)
[2,4,1,6,3,5,8,7,10,9]=>([(0,2),(0,5),(1,5),(1,9),(2,8),(2,9),(5,8),(6,3),(6,4),(7,3),(7,4),(8,6),(8,7),(9,6),(9,7)],10)
[2,4,1,6,3,8,5,7,10,9]=>([(0,2),(0,9),(1,8),(1,9),(2,5),(2,8),(5,7),(6,3),(6,4),(7,3),(7,4),(8,6),(8,7),(9,5),(9,6)],10)
[2,4,1,6,3,8,5,10,7,9]=>([(0,2),(0,9),(1,8),(1,9),(2,7),(2,8),(5,4),(6,3),(6,4),(7,3),(7,5),(8,5),(8,6),(9,6),(9,7)],10)
[2,4,1,6,3,8,5,9,7,10]=>([(0,2),(0,9),(1,8),(1,9),(2,7),(2,8),(4,5),(5,3),(6,3),(7,5),(7,6),(8,4),(8,6),(9,4),(9,7)],10)
[2,4,1,6,3,7,5,9,8,10]=>([(0,2),(0,9),(1,6),(1,9),(2,6),(2,8),(4,3),(5,3),(6,7),(7,4),(7,5),(8,4),(8,5),(9,7),(9,8)],10)
[2,4,1,5,3,7,6,9,8,10]=>([(0,2),(0,9),(1,8),(1,9),(2,8),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[2,3,1,5,4,7,6,9,8,10]=>([(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[1,3,2,5,4,7,6,9,8,10]=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[3,4,1,2,5,6,7,8,9,10]=>([(0,4),(1,3),(3,9),(4,9),(5,7),(6,5),(7,2),(8,6),(9,8)],10)
[3,2,1,4,5,6,7,8,9,10]=>([(0,9),(1,9),(2,9),(4,5),(5,7),(6,4),(7,3),(8,6),(9,8)],10)
[4,5,6,1,2,3,7,8,9,10]=>([(0,8),(1,7),(3,9),(4,9),(5,2),(6,5),(7,3),(8,4),(9,6)],10)
[4,2,5,1,3,6,7,8,9,10]=>([(0,8),(1,7),(2,7),(2,8),(4,6),(5,4),(6,3),(7,9),(8,9),(9,5)],10)
[4,3,2,1,5,6,7,8,9,10]=>([(0,9),(1,9),(2,9),(3,9),(5,7),(6,5),(7,4),(8,6),(9,8)],10)
[5,6,7,8,1,2,3,4,9,10]=>([(0,8),(1,7),(2,9),(3,9),(5,2),(6,3),(7,5),(8,6),(9,4)],10)
[5,2,6,7,1,3,4,8,9,10]=>([(0,9),(1,8),(2,8),(2,9),(4,7),(5,7),(6,3),(7,6),(8,4),(9,5)],10)
[5,6,3,4,1,2,7,8,9,10]=>([(0,6),(1,5),(2,4),(4,9),(5,9),(6,9),(7,3),(8,7),(9,8)],10)
[5,3,2,6,1,4,7,8,9,10]=>([(0,9),(1,8),(2,8),(2,9),(3,8),(3,9),(4,6),(6,5),(7,4),(8,7),(9,7)],10)
[5,4,3,2,1,6,7,8,9,10]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(7,6),(8,7),(9,5)],10)
[6,2,7,8,9,1,3,4,5,10]=>([(0,9),(1,8),(2,8),(2,9),(3,7),(4,7),(5,3),(6,4),(8,5),(9,6)],10)
[6,7,3,4,8,1,2,5,9,10]=>([(0,5),(1,4),(2,6),(4,7),(5,8),(6,7),(6,8),(7,9),(8,9),(9,3)],10)
[6,3,2,7,8,1,4,5,9,10]=>([(0,9),(1,8),(2,8),(2,9),(3,8),(3,9),(4,7),(5,7),(7,6),(8,4),(9,5)],10)
[6,4,7,2,5,1,3,8,9,10]=>([(0,7),(1,6),(2,6),(2,8),(3,7),(3,8),(4,5),(6,9),(7,9),(8,9),(9,4)],10)
[6,4,3,2,7,1,5,8,9,10]=>([(0,9),(1,8),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,6),(7,5),(8,7),(9,7)],10)
[6,5,4,3,2,1,7,8,9,10]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(8,7),(9,6)],10)
[7,8,3,4,9,10,1,2,5,6]=>([(0,6),(1,5),(2,7),(5,8),(6,9),(7,8),(7,9),(8,3),(9,4)],10)
[7,8,9,4,5,6,1,2,3,10]=>([(0,8),(1,7),(2,6),(3,9),(4,9),(5,9),(6,3),(7,4),(8,5)],10)
[7,4,3,2,8,9,1,5,6,10]=>([(0,9),(1,8),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(6,7),(8,5),(9,6)],10)
[7,8,5,6,3,4,1,2,9,10]=>([(0,8),(1,7),(2,6),(3,5),(5,9),(6,9),(7,9),(8,9),(9,4)],10)
[7,5,3,8,2,6,1,4,9,10]=>([(0,7),(1,6),(2,6),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(6,9),(7,9),(8,9),(9,5)],10)
[7,5,4,3,2,8,1,6,9,10]=>([(0,9),(1,8),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(7,6),(8,7),(9,7)],10)
[7,6,5,4,3,2,1,8,9,10]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,7)],10)
[8,5,9,10,2,6,7,1,3,4]=>([(0,8),(1,7),(2,7),(2,9),(3,8),(3,9),(7,4),(8,5),(9,6)],10)
[8,5,3,9,2,6,10,1,4,7]=>([(0,8),(1,7),(2,7),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(7,5),(8,6),(9,5),(9,6)],10)
[8,6,9,4,7,2,5,1,3,10]=>([(0,8),(1,7),(2,5),(2,6),(3,5),(3,7),(4,6),(4,8),(5,9),(6,9),(7,9),(8,9)],10)
[8,6,4,3,9,2,7,1,5,10]=>([(0,8),(1,7),(2,7),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(7,6),(8,6),(9,6)],10)
[8,6,5,4,3,2,9,1,7,10]=>([(0,9),(1,8),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(8,7),(9,7)],10)
[8,7,6,5,4,3,2,1,9,10]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(9,8)],10)
[9,7,5,4,3,10,2,8,1,6]=>([(0,9),(1,8),(2,7),(2,8),(3,7),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[2,3,1,4,5,6,7,8,9,10]=>([(0,9),(1,3),(3,9),(4,5),(5,7),(6,4),(7,2),(8,6),(9,8)],10)
[2,3,4,1,5,6,7,8,9,10]=>([(0,9),(1,7),(3,9),(4,6),(5,4),(6,2),(7,3),(8,5),(9,8)],10)
[2,3,4,5,1,6,7,8,9,10]=>([(0,9),(1,7),(3,9),(4,3),(5,6),(6,2),(7,4),(8,5),(9,8)],10)
[2,3,4,5,6,1,7,8,9,10]=>([(0,9),(1,7),(3,9),(4,5),(5,3),(6,2),(7,4),(8,6),(9,8)],10)
[2,3,4,5,6,7,1,8,9,10]=>([(0,9),(1,7),(3,9),(4,6),(5,4),(6,3),(7,5),(8,2),(9,8)],10)
[2,3,4,5,6,7,8,1,9,10]=>([(0,9),(1,8),(2,9),(4,5),(5,7),(6,4),(7,2),(8,6),(9,3)],10)
[3,4,1,5,6,7,8,9,10,2]=>([(0,4),(1,3),(1,9),(4,9),(5,7),(6,5),(7,2),(8,6),(9,8)],10)
[3,4,5,1,6,7,8,9,10,2]=>([(0,8),(1,4),(1,9),(3,9),(5,6),(6,2),(7,5),(8,3),(9,7)],10)
[3,4,5,6,1,7,8,9,10,2]=>([(0,8),(1,4),(1,9),(3,9),(5,3),(6,2),(7,6),(8,5),(9,7)],10)
[3,4,5,6,7,1,8,9,10,2]=>([(0,8),(1,4),(1,9),(3,9),(5,3),(6,5),(7,2),(8,6),(9,7)],10)
[3,4,5,6,7,8,1,9,10,2]=>([(0,8),(1,4),(1,9),(2,9),(5,7),(6,5),(7,2),(8,6),(9,3)],10)
[3,4,5,6,7,8,9,1,10,2]=>([(0,8),(1,3),(1,9),(2,9),(4,5),(5,7),(6,4),(7,2),(8,6)],10)
[9,8,7,6,5,4,3,1,10,2]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(7,9)],10)
[8,10,7,6,5,4,3,2,1,9]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(7,9)],10)
[1,8,7,6,5,4,3,10,9,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[1,10,7,6,5,4,3,2,9,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[9,1,7,6,5,4,3,10,8,2]=>([(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[3,8,7,6,5,4,10,1,9,2]=>([(0,7),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9)],10)
[8,10,1,6,5,4,3,2,9,7]=>([(0,7),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9)],10)
[2,10,7,6,5,4,3,9,1,8]=>([(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[8,10,9,7,6,5,4,3,2,1]=>([(7,8),(7,9)],10)
[7,10,9,8,6,5,4,3,2,1]=>([(6,7),(6,8),(6,9)],10)
[6,10,9,8,7,5,4,3,2,1]=>([(5,6),(5,7),(5,8),(5,9)],10)
[5,10,9,8,7,6,4,3,2,1]=>([(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[4,10,9,8,7,6,5,3,2,1]=>([(3,4),(3,5),(3,6),(3,7),(3,8),(3,9)],10)
[3,10,9,8,7,6,5,4,2,1]=>([(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9)],10)
[2,10,9,8,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9)],10)
[1,2,3,4,5,6,7,10,8,9]=>([(0,8),(3,4),(4,6),(5,3),(6,9),(7,1),(8,5),(9,2),(9,7)],10)
[1,2,3,4,5,6,10,7,8,9]=>([(0,8),(3,5),(4,3),(5,9),(6,7),(7,1),(8,4),(9,2),(9,6)],10)
[1,2,3,4,5,10,6,7,8,9]=>([(0,8),(3,7),(4,5),(5,9),(6,3),(7,1),(8,4),(9,2),(9,6)],10)
[1,2,3,4,10,5,6,7,8,9]=>([(0,8),(3,4),(4,7),(5,9),(6,3),(7,1),(8,5),(9,2),(9,6)],10)
[1,2,3,10,4,5,6,7,8,9]=>([(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,9),(9,2),(9,6)],10)
[1,2,10,3,4,5,6,7,8,9]=>([(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(9,2),(9,7)],10)
[8,7,10,9,6,5,4,3,2,1]=>([(6,8),(6,9),(7,8),(7,9)],10)
[8,9,10,7,6,5,4,3,2,1]=>([(7,8),(8,9)],10)
[7,6,5,10,9,8,4,3,2,1]=>([(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[7,9,6,10,8,5,4,3,2,1]=>([(5,8),(5,9),(6,7),(6,8),(7,9)],10)
[7,8,9,10,6,5,4,3,2,1]=>([(6,7),(7,9),(9,8)],10)
[6,5,4,3,10,9,8,7,2,1]=>([(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[6,9,5,4,10,8,7,3,2,1]=>([(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(6,9)],10)
[6,5,8,7,10,9,4,3,2,1]=>([(4,6),(4,7),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9)],10)
[6,8,9,5,10,7,4,3,2,1]=>([(4,8),(4,9),(5,6),(5,8),(6,7),(7,9)],10)
[5,4,3,2,1,10,9,8,7,6]=>([(0,5),(0,6),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[5,9,4,3,2,10,8,7,6,1]=>([(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(5,9)],10)
[5,4,8,7,3,10,9,6,2,1]=>([(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,8),(5,9),(6,8),(6,9)],10)
[5,8,9,4,3,10,7,6,2,1]=>([(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(5,6),(6,9)],10)
[5,7,4,9,6,10,8,3,2,1]=>([(3,6),(3,8),(4,5),(4,6),(5,8),(5,9),(6,7),(6,9),(8,7)],10)
[5,6,7,8,9,10,4,3,2,1]=>([(4,5),(5,9),(7,8),(8,6),(9,7)],10)
[4,3,8,7,2,1,10,9,6,5]=>([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,8),(4,9),(5,8),(5,9)],10)
[4,8,9,3,2,1,10,7,6,5]=>([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,6),(3,7),(3,8),(4,5),(5,9)],10)
[4,3,2,7,6,5,10,9,8,1]=>([(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(7,4),(7,5),(7,6),(8,4),(8,5),(8,6),(9,4),(9,5),(9,6)],10)
[4,7,3,9,6,2,10,8,5,1]=>([(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,9),(5,8),(5,9),(6,8)],10)
[4,7,8,9,3,2,10,6,5,1]=>([(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,4),(3,7),(3,8),(4,6),(5,9),(6,5)],10)
[4,3,6,5,8,7,10,9,2,1]=>([(2,8),(2,9),(3,8),(3,9),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[4,6,7,8,9,3,10,5,2,1]=>([(2,8),(2,9),(3,4),(3,8),(4,7),(5,9),(6,5),(7,6)],10)
[4,5,6,7,8,9,10,3,2,1]=>([(3,9),(5,6),(6,8),(7,5),(8,4),(9,7)],10)
[3,6,2,1,9,5,4,10,8,7]=>([(0,3),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(7,4),(8,4),(8,5),(8,6),(9,4),(9,5),(9,6)],10)
[3,2,6,5,8,7,1,10,9,4]=>([(0,7),(0,8),(0,9),(1,5),(1,6),(1,9),(2,5),(2,6),(2,9),(3,7),(3,8),(4,7),(4,8),(5,3),(5,4),(6,3),(6,4)],10)
[3,6,8,2,9,5,1,10,7,4]=>([(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,9),(4,6),(5,8),(5,9),(6,8)],10)
[3,6,7,8,9,2,1,10,5,4]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,6),(2,8),(2,9),(3,7),(4,5),(5,3),(6,4)],10)
[3,5,7,8,2,9,4,10,6,1]=>([(1,5),(1,9),(2,8),(2,9),(3,4),(4,8),(5,3),(5,7),(8,6),(9,6),(9,7)],10)
[3,5,6,7,8,9,2,10,4,1]=>([(1,8),(1,9),(2,7),(2,9),(3,8),(4,6),(5,4),(6,3),(7,5)],10)
[3,4,5,6,7,8,9,10,2,1]=>([(2,9),(4,6),(5,4),(6,8),(7,5),(8,3),(9,7)],10)
[2,4,6,1,8,3,9,5,10,7]=>([(0,2),(0,9),(1,7),(1,9),(2,3),(2,8),(3,5),(3,7),(6,4),(7,6),(8,4),(8,5),(9,6),(9,8)],10)
[2,4,6,7,8,1,9,3,10,5]=>([(0,8),(0,9),(1,5),(1,9),(2,8),(3,4),(4,2),(5,3),(5,6),(8,7),(9,6),(9,7)],10)
[2,4,5,6,7,8,9,1,10,3]=>([(0,8),(0,9),(1,7),(1,9),(2,8),(3,4),(4,6),(5,3),(6,2),(7,5)],10)
[7,8,10,9,5,6,3,4,1,2]=>([(0,8),(1,7),(2,6),(3,9),(9,4),(9,5)],10)
[9,10,5,6,8,7,3,4,1,2]=>([(0,8),(1,7),(2,6),(3,9),(9,4),(9,5)],10)
[5,8,10,6,9,7,3,4,1,2]=>([(0,6),(1,5),(2,7),(2,8),(7,4),(7,9),(8,3),(8,9)],10)
[5,6,7,10,9,8,3,4,1,2]=>([(0,7),(1,6),(2,8),(8,9),(9,3),(9,4),(9,5)],10)
[9,10,7,8,3,4,6,5,1,2]=>([(0,8),(1,7),(2,6),(3,9),(9,4),(9,5)],10)
[7,8,10,9,3,4,6,5,1,2]=>([(0,7),(1,9),(2,8),(8,3),(8,4),(9,5),(9,6)],10)
[9,10,3,6,8,4,7,5,1,2]=>([(0,6),(1,5),(2,7),(2,8),(7,4),(7,9),(8,3),(8,9)],10)
[3,8,10,6,9,4,7,5,1,2]=>([(0,5),(1,4),(1,6),(1,7),(4,8),(4,9),(6,3),(6,8),(7,2),(7,9)],10)
[3,6,7,10,9,4,8,5,1,2]=>([(0,5),(1,6),(1,7),(6,8),(7,2),(7,9),(8,3),(8,4),(8,9)],10)
[9,10,3,4,5,8,7,6,1,2]=>([(0,7),(1,6),(2,8),(8,9),(9,3),(9,4),(9,5)],10)
[3,8,10,4,5,9,7,6,1,2]=>([(0,5),(1,6),(1,7),(6,8),(7,2),(7,9),(8,3),(8,4),(8,9)],10)
[3,4,7,10,5,9,8,6,1,2]=>([(0,4),(1,7),(5,3),(5,8),(5,9),(6,2),(6,8),(6,9),(7,5),(7,6)],10)
[3,4,5,6,10,9,8,7,1,2]=>([(0,8),(1,6),(7,9),(8,7),(9,2),(9,3),(9,4),(9,5)],10)
[9,10,7,8,5,6,1,2,4,3]=>([(0,8),(1,7),(2,6),(3,9),(9,4),(9,5)],10)
[7,8,10,9,5,6,1,2,4,3]=>([(0,7),(1,9),(2,8),(8,3),(8,4),(9,5),(9,6)],10)
[9,10,5,6,8,7,1,2,4,3]=>([(0,7),(1,9),(2,8),(8,3),(8,4),(9,5),(9,6)],10)
[5,8,10,6,9,7,1,2,4,3]=>([(0,8),(1,6),(1,7),(6,5),(6,9),(7,4),(7,9),(8,2),(8,3)],10)
[5,6,7,10,9,8,1,2,4,3]=>([(0,8),(1,7),(7,9),(8,5),(8,6),(9,2),(9,3),(9,4)],10)
[9,10,7,8,1,4,6,2,5,3]=>([(0,6),(1,5),(2,7),(2,8),(7,4),(7,9),(8,3),(8,9)],10)
[7,8,10,9,1,4,6,2,5,3]=>([(0,8),(1,6),(1,7),(6,5),(6,9),(7,4),(7,9),(8,2),(8,3)],10)
[9,10,1,6,8,4,7,2,5,3]=>([(0,5),(1,4),(1,6),(1,7),(4,8),(4,9),(6,3),(6,8),(7,2),(7,9)],10)
[1,8,10,6,9,4,7,2,5,3]=>([(0,3),(0,4),(0,5),(0,6),(3,7),(3,8),(4,7),(4,9),(5,2),(5,8),(6,1),(6,9)],10)
[1,6,7,10,9,4,8,2,5,3]=>([(0,4),(0,5),(0,6),(4,8),(4,9),(5,7),(6,1),(6,8),(7,2),(7,3),(7,9)],10)
[9,10,1,4,5,8,7,2,6,3]=>([(0,5),(1,6),(1,7),(6,8),(7,2),(7,9),(8,3),(8,4),(8,9)],10)
[1,8,10,4,5,9,7,2,6,3]=>([(0,5),(0,6),(0,7),(4,3),(4,8),(4,9),(5,4),(6,2),(6,8),(7,1),(7,9)],10)
[1,4,7,10,5,9,8,2,6,3]=>([(0,5),(0,6),(3,7),(3,8),(3,9),(4,2),(4,8),(4,9),(5,1),(5,7),(6,3),(6,4)],10)
[1,4,5,6,10,9,8,2,7,3]=>([(0,6),(0,7),(5,8),(6,5),(7,1),(7,9),(8,2),(8,3),(8,4),(8,9)],10)
[9,10,7,8,1,2,3,6,5,4]=>([(0,7),(1,6),(2,8),(8,9),(9,3),(9,4),(9,5)],10)
[7,8,10,9,1,2,3,6,5,4]=>([(0,8),(1,7),(7,9),(8,5),(8,6),(9,2),(9,3),(9,4)],10)
[9,10,1,6,8,2,3,7,5,4]=>([(0,5),(1,6),(1,7),(6,8),(7,2),(7,9),(8,3),(8,4),(8,9)],10)
[1,8,10,6,9,2,3,7,5,4]=>([(0,4),(0,5),(0,6),(4,8),(4,9),(5,7),(6,1),(6,8),(7,2),(7,3),(7,9)],10)
[1,6,7,10,9,2,3,8,5,4]=>([(0,5),(0,6),(5,8),(6,7),(7,1),(7,2),(7,9),(8,3),(8,4),(8,9)],10)
[9,10,1,2,5,8,3,7,6,4]=>([(0,4),(1,7),(5,3),(5,8),(5,9),(6,2),(6,8),(6,9),(7,5),(7,6)],10)
[1,8,10,2,5,9,3,7,6,4]=>([(0,5),(0,6),(3,7),(3,8),(3,9),(4,2),(4,8),(4,9),(5,1),(5,7),(6,3),(6,4)],10)
[1,2,7,10,5,9,3,8,6,4]=>([(0,6),(3,7),(3,8),(3,9),(4,2),(4,7),(4,9),(5,1),(5,8),(5,9),(6,3),(6,4),(6,5)],10)
[1,2,5,6,10,9,3,8,7,4]=>([(0,7),(4,6),(5,1),(5,8),(5,9),(6,2),(6,3),(6,8),(6,9),(7,4),(7,5)],10)
[9,10,1,2,3,4,8,7,6,5]=>([(0,8),(1,6),(7,9),(8,7),(9,2),(9,3),(9,4),(9,5)],10)
[1,8,10,2,3,4,9,7,6,5]=>([(0,6),(0,7),(5,8),(6,5),(7,1),(7,9),(8,2),(8,3),(8,4),(8,9)],10)
[1,2,7,10,3,4,9,8,6,5]=>([(0,7),(4,6),(5,1),(5,8),(5,9),(6,2),(6,3),(6,8),(6,9),(7,4),(7,5)],10)
[1,2,3,6,10,4,9,8,7,5]=>([(0,5),(3,2),(3,7),(3,8),(3,9),(4,1),(4,7),(4,8),(4,9),(5,6),(6,3),(6,4)],10)
[1,2,3,4,5,10,9,8,7,6]=>([(0,8),(6,7),(7,9),(8,6),(9,1),(9,2),(9,3),(9,4),(9,5)],10)
[4,3,2,1,7,6,5,9,8,10]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(5,4),(6,4),(7,5),(7,6),(8,5),(8,6),(9,5),(9,6)],10)
[7,3,2,1,6,5,4,9,8,10]=>([(0,8),(0,9),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,4),(9,4)],10)
[4,3,2,1,9,6,5,8,7,10]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(5,6),(7,6),(8,4),(8,5),(9,4),(9,5)],10)
[6,3,2,1,9,5,4,8,7,10]=>([(0,5),(0,6),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(5,4),(6,4),(7,5),(7,6),(8,5),(8,6),(9,4)],10)
[9,3,2,1,8,5,4,7,6,10]=>([(0,9),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,9),(5,9),(6,9),(7,4),(7,5),(8,4),(8,5)],10)
[6,5,2,1,9,4,3,8,7,10]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,8),(4,9),(5,8),(5,9),(7,6),(8,6),(9,6)],10)
[9,5,2,1,8,4,3,7,6,10]=>([(0,9),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(4,8),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
[4,3,2,1,7,6,5,10,8,9]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(6,4),(7,5),(7,6),(8,5),(8,6),(9,5),(9,6)],10)
[7,3,2,1,6,5,4,10,8,9]=>([(0,8),(0,9),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(9,4)],10)
[4,3,2,1,8,6,5,10,7,9]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,5),(7,5),(7,6),(8,4),(8,6),(9,4),(9,6)],10)
[6,3,2,1,8,5,4,10,7,9]=>([(0,8),(0,9),(1,5),(1,6),(1,9),(2,5),(2,6),(2,9),(3,5),(3,6),(3,9),(5,7),(5,8),(6,7),(6,8),(8,4),(9,4),(9,7)],10)
[8,3,2,1,7,5,4,10,6,9]=>([(0,8),(0,9),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,8),(5,8),(5,9),(6,4),(6,9),(7,4),(7,9)],10)
[6,5,2,1,8,4,3,10,7,9]=>([(0,8),(0,9),(1,8),(1,9),(2,5),(2,6),(2,8),(3,5),(3,6),(3,8),(5,7),(5,9),(6,7),(6,9),(8,4),(8,7),(9,4)],10)
[8,5,2,1,7,4,3,10,6,9]=>([(0,7),(0,9),(1,6),(1,8),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,8),(4,9),(5,8),(5,9),(6,7),(6,9),(8,7)],10)
[4,3,2,1,10,6,5,9,7,8]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(6,4),(8,5),(8,6),(9,5),(9,6)],10)
[6,3,2,1,10,5,4,9,7,8]=>([(0,7),(0,8),(0,9),(1,5),(1,6),(1,9),(2,5),(2,6),(2,9),(3,5),(3,6),(3,9),(5,7),(5,8),(6,7),(6,8),(8,4)],10)
[7,3,2,1,10,5,4,9,6,8]=>([(0,5),(0,6),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,5),(7,4),(7,6),(8,4),(8,6)],10)
[10,3,2,1,9,5,4,8,6,7]=>([(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(6,4),(8,5),(8,6),(9,5),(9,6)],10)
[6,5,2,1,10,4,3,9,7,8]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(5,8),(5,9),(6,8),(6,9),(9,4)],10)
[7,5,2,1,10,4,3,9,6,8]=>([(0,7),(0,8),(0,9),(1,6),(1,8),(1,9),(2,4),(2,5),(2,8),(3,4),(3,5),(3,8),(4,7),(4,9),(5,7),(5,9),(7,6)],10)
[10,5,2,1,9,4,3,8,6,7]=>([(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(5,8),(5,9),(6,8),(6,9),(9,4)],10)
[4,3,2,1,8,7,5,10,6,9]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(7,5),(7,6),(8,5),(8,6),(9,4),(9,5)],10)
[5,3,2,1,8,7,4,10,6,9]=>([(0,6),(0,8),(0,9),(1,6),(1,8),(1,9),(2,6),(2,8),(2,9),(3,4),(3,8),(3,9),(4,7),(6,4),(6,5),(8,5),(8,7),(9,5),(9,7)],10)
[8,3,2,1,7,6,4,10,5,9]=>([(0,8),(0,9),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,9),(5,8),(5,9),(6,8),(6,9),(7,4),(7,8)],10)
[5,4,2,1,8,7,3,10,6,9]=>([(0,6),(0,8),(0,9),(1,6),(1,8),(1,9),(2,4),(2,8),(2,9),(3,4),(3,8),(3,9),(4,6),(4,7),(6,5),(8,5),(8,7),(9,5),(9,7)],10)
[8,4,2,1,7,6,3,10,5,9]=>([(0,8),(0,9),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,9),(5,8),(6,8),(6,9),(7,8),(7,9)],10)
[4,3,2,1,10,7,5,9,6,8]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(8,5),(8,6),(9,4),(9,5)],10)
[5,3,2,1,10,7,4,9,6,8]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,5),(3,8),(3,9),(5,6),(7,4),(7,5),(9,4),(9,6)],10)
[7,3,2,1,10,6,4,9,5,8]=>([(0,6),(0,8),(0,9),(1,5),(1,7),(1,9),(2,5),(2,7),(2,9),(3,5),(3,7),(3,9),(4,8),(5,6),(5,8),(7,4),(7,6)],10)
[10,3,2,1,9,6,4,8,5,7]=>([(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(8,5),(8,6),(9,4),(9,5)],10)
[5,4,2,1,10,7,3,9,6,8]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,4),(2,8),(2,9),(3,4),(3,8),(3,9),(4,6),(4,7),(7,5),(9,5),(9,6)],10)
[7,4,2,1,10,6,3,9,5,8]=>([(0,7),(0,8),(0,9),(1,5),(1,6),(1,9),(2,4),(2,6),(2,9),(3,4),(3,6),(3,9),(4,5),(4,8),(5,7),(6,7),(6,8)],10)
[10,4,2,1,9,6,3,8,5,7]=>([(1,4),(1,8),(1,9),(2,4),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(7,5),(9,5),(9,6)],10)
[7,6,2,1,10,5,3,9,4,8]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,9),(5,8),(5,9),(6,4),(6,8)],10)
[10,6,2,1,9,5,3,8,4,7]=>([(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,9),(5,8),(5,9),(6,4),(6,8)],10)
[5,4,3,1,8,7,2,10,6,9]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,4),(3,7),(3,8),(4,6),(4,9),(7,5),(7,6),(8,5),(8,6),(9,5)],10)
[8,4,3,1,7,6,2,10,5,9]=>([(0,8),(0,9),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8)],10)
[5,4,3,1,10,7,2,9,6,8]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,4),(3,7),(3,8),(4,6),(4,9),(8,5),(8,6),(9,5)],10)
[7,4,3,1,10,6,2,9,5,8]=>([(0,6),(0,8),(0,9),(1,5),(1,7),(1,9),(2,5),(2,7),(2,9),(3,4),(3,5),(3,9),(4,7),(4,8),(5,6),(5,8),(7,6)],10)
[10,4,3,1,9,6,2,8,5,7]=>([(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,4),(3,7),(3,8),(4,6),(4,9),(8,5),(8,6),(9,5)],10)
[7,6,3,1,10,5,2,9,4,8]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,9),(5,8),(5,9),(6,8)],10)
[10,6,3,1,9,5,2,8,4,7]=>([(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,9),(5,8),(5,9),(6,8)],10)
[4,3,1,2,6,5,8,7,10,9]=>([(0,8),(0,9),(1,8),(1,9),(2,3),(3,8),(3,9),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[10,3,1,5,2,7,4,9,6,8]=>([(1,3),(1,7),(2,7),(2,9),(3,8),(3,9),(6,5),(7,6),(7,8),(8,4),(8,5),(9,4),(9,6)],10)
[10,9,4,1,6,2,8,3,5,7]=>([(2,6),(2,7),(3,4),(3,6),(4,5),(4,9),(5,7),(6,8),(6,9),(7,8)],10)
[10,9,8,5,1,7,2,3,4,6]=>([(3,8),(3,9),(4,5),(4,8),(5,7),(6,9),(7,6)],10)
[8,7,6,5,4,3,2,10,1,9]=>([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[7,6,5,4,3,10,2,9,1,8]=>([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[7,6,5,4,3,2,9,1,8,10]=>([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(8,7),(9,7)],10)
[6,5,4,10,3,9,2,8,1,7]=>([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[6,5,4,3,9,2,8,1,7,10]=>([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(7,6),(8,6),(9,6)],10)
[6,5,4,3,2,8,10,1,7,9]=>([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(8,6),(8,7),(9,7)],10)
[6,5,4,3,2,8,1,7,9,10]=>([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(7,6),(8,7),(9,7)],10)
[5,10,4,9,3,8,2,7,1,6]=>([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[5,4,9,3,8,2,7,1,6,10]=>([(0,9),(1,7),(1,9),(2,6),(2,7),(2,9),(3,5),(3,6),(3,7),(3,9),(4,5),(4,6),(4,7),(4,9),(5,8),(6,8),(7,8),(9,8)],10)
[5,4,3,8,2,7,10,1,6,9]=>([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(7,5),(7,6),(8,5),(8,6),(9,6)],10)
[5,4,3,8,2,7,1,6,9,10]=>([(0,9),(1,8),(1,9),(2,6),(2,8),(2,9),(3,6),(3,8),(3,9),(4,6),(4,8),(4,9),(6,7),(7,5),(8,7),(9,7)],10)
[5,4,3,2,7,9,1,6,8,10]=>([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(6,7),(8,5),(8,6),(9,6)],10)
[5,4,3,2,7,1,6,8,9,10]=>([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,6),(7,5),(8,7),(9,7)],10)
[4,8,3,7,2,6,10,1,5,9]=>([(0,8),(1,6),(1,8),(2,5),(2,6),(2,8),(3,4),(3,5),(3,6),(3,8),(4,7),(4,9),(5,7),(5,9),(6,7),(6,9),(8,9)],10)
[4,8,3,7,2,6,1,5,9,10]=>([(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,4),(3,6),(3,7),(3,8),(4,9),(6,9),(7,9),(8,9),(9,5)],10)
[4,3,7,10,2,6,9,1,5,8]=>([(0,9),(1,8),(1,9),(2,6),(2,8),(2,9),(3,6),(3,8),(3,9),(6,4),(6,5),(6,7),(8,5),(8,7),(9,7)],10)
[4,3,7,2,6,9,1,5,8,10]=>([(0,9),(1,7),(1,9),(2,4),(2,7),(2,9),(3,4),(3,7),(3,9),(4,6),(4,8),(6,5),(7,6),(7,8),(8,5),(9,8)],10)
[4,3,7,2,6,1,5,8,9,10]=>([(0,9),(1,7),(1,9),(2,6),(2,7),(2,9),(3,6),(3,7),(3,9),(4,5),(6,8),(7,8),(8,4),(9,8)],10)
[4,3,2,6,8,10,1,5,7,9]=>([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,5),(4,7),(6,7),(8,4),(8,6),(9,6)],10)
[4,3,2,6,8,1,5,7,9,10]=>([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(5,7),(6,7),(7,4),(8,5),(8,6),(9,6)],10)
[4,3,2,6,1,5,7,8,9,10]=>([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,6),(6,5),(7,4),(8,7),(9,7)],10)
[3,6,9,2,5,8,1,4,7,10]=>([(0,7),(1,5),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,9),(4,8),(5,6),(5,9),(6,8),(7,9),(9,8)],10)
[3,6,2,5,8,10,1,4,7,9]=>([(0,8),(1,5),(1,8),(2,3),(2,5),(2,8),(3,7),(3,9),(5,7),(5,9),(7,4),(7,6),(8,9),(9,6)],10)
[3,6,2,5,8,1,4,7,9,10]=>([(0,8),(1,5),(1,8),(2,4),(2,5),(2,8),(4,7),(4,9),(5,7),(5,9),(6,3),(7,6),(8,9),(9,6)],10)
[3,6,2,5,1,4,7,8,9,10]=>([(0,9),(1,7),(1,9),(2,4),(2,7),(2,9),(4,8),(5,3),(6,5),(7,8),(8,6),(9,8)],10)
[3,2,5,7,9,1,4,6,8,10]=>([(0,9),(1,8),(1,9),(2,8),(2,9),(3,4),(3,7),(4,5),(6,7),(7,5),(8,3),(8,6),(9,6)],10)
[3,2,5,7,1,4,6,8,9,10]=>([(0,9),(1,7),(1,9),(2,7),(2,9),(3,8),(4,5),(6,8),(7,3),(7,6),(8,4),(9,6)],10)
[3,2,5,1,4,6,7,8,9,10]=>([(0,9),(1,7),(1,9),(2,7),(2,9),(4,6),(5,4),(6,3),(7,8),(8,5),(9,8)],10)
[2,4,6,8,1,3,5,7,9,10]=>([(0,8),(1,5),(1,8),(3,9),(4,3),(4,7),(5,4),(5,6),(6,7),(7,9),(8,6),(9,2)],10)
[2,4,6,1,3,5,7,8,9,10]=>([(0,8),(1,6),(1,8),(3,9),(4,5),(5,2),(6,3),(6,7),(7,9),(8,7),(9,4)],10)
[2,4,1,3,5,6,7,8,9,10]=>([(0,8),(1,3),(1,8),(3,9),(4,5),(5,7),(6,4),(7,2),(8,9),(9,6)],10)
[9,8,7,6,5,4,2,1,10,3]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[9,8,7,6,5,3,2,1,10,4]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[9,8,7,6,4,3,2,1,10,5]=>([(0,9),(1,9),(2,9),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[9,8,7,5,4,3,2,1,10,6]=>([(0,9),(1,9),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[9,8,6,5,4,3,2,1,10,7]=>([(0,9),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[9,7,6,5,4,3,2,1,10,8]=>([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[7,8,4,5,9,2,3,6,10,1]=>([(1,5),(2,4),(3,6),(4,8),(5,9),(6,8),(6,9),(8,7),(9,7)],10)
[8,10,7,9,5,6,3,4,1,2]=>([(0,9),(1,7),(2,6),(3,5),(4,8),(4,9)],10)
[9,10,6,8,5,7,3,4,1,2]=>([(0,9),(1,7),(2,6),(3,5),(4,8),(4,9)],10)
[8,10,6,9,5,7,3,4,1,2]=>([(0,9),(1,8),(1,9),(2,6),(3,5),(4,7),(4,8)],10)
[7,10,6,9,5,8,3,4,1,2]=>([(0,9),(1,8),(1,9),(2,6),(3,5),(4,7),(4,8),(4,9)],10)
[9,10,7,8,4,6,3,5,1,2]=>([(0,9),(1,7),(2,6),(3,5),(4,8),(4,9)],10)
[8,10,7,9,4,6,3,5,1,2]=>([(0,9),(1,8),(2,7),(3,5),(3,8),(4,6),(4,9)],10)
[9,10,6,8,4,7,3,5,1,2]=>([(0,9),(1,8),(1,9),(2,6),(3,5),(4,7),(4,8)],10)
[8,10,6,9,4,7,3,5,1,2]=>([(0,9),(1,7),(1,8),(2,7),(2,9),(3,6),(4,5),(4,8)],10)
[7,10,6,9,4,8,3,5,1,2]=>([(0,7),(1,7),(1,9),(2,8),(2,9),(3,6),(4,5),(4,8),(4,9)],10)
[9,10,5,8,4,7,3,6,1,2]=>([(0,9),(1,8),(1,9),(2,6),(3,5),(4,7),(4,8),(4,9)],10)
[8,10,5,9,4,7,3,6,1,2]=>([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(4,5),(4,7)],10)
[7,10,5,9,4,8,3,6,1,2]=>([(0,8),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(4,5),(4,7),(4,9)],10)
[6,10,5,9,4,8,3,7,1,2]=>([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(4,5),(4,7),(4,8),(4,9)],10)
[9,10,7,8,5,6,2,4,1,3]=>([(0,9),(1,7),(2,6),(3,5),(4,8),(4,9)],10)
[8,10,7,9,5,6,2,4,1,3]=>([(0,9),(1,8),(2,7),(3,5),(3,8),(4,6),(4,9)],10)
[9,10,6,8,5,7,2,4,1,3]=>([(0,9),(1,8),(2,7),(3,5),(3,8),(4,6),(4,9)],10)
[8,10,6,9,5,7,2,4,1,3]=>([(0,8),(1,7),(2,7),(2,9),(3,5),(3,8),(4,6),(4,9)],10)
[7,10,6,9,5,8,2,4,1,3]=>([(0,9),(1,8),(2,7),(2,9),(3,6),(3,8),(4,5),(4,7),(4,9)],10)
[9,10,7,8,4,6,2,5,1,3]=>([(0,9),(1,8),(1,9),(2,6),(3,5),(4,7),(4,8)],10)
[8,10,7,9,4,6,2,5,1,3]=>([(0,8),(1,7),(2,7),(2,9),(3,5),(3,8),(4,6),(4,9)],10)
[9,10,6,8,4,7,2,5,1,3]=>([(0,9),(1,7),(1,8),(2,7),(2,9),(3,6),(4,5),(4,8)],10)
[8,10,6,9,4,7,2,5,1,3]=>([(0,8),(1,6),(1,7),(2,6),(2,8),(3,7),(3,9),(4,5),(4,9)],10)
[7,10,6,9,4,8,2,5,1,3]=>([(0,7),(1,6),(1,9),(2,8),(2,9),(3,6),(3,7),(4,5),(4,8),(4,9)],10)
[9,10,5,8,4,7,2,6,1,3]=>([(0,7),(1,7),(1,9),(2,8),(2,9),(3,6),(4,5),(4,8),(4,9)],10)
[8,10,5,9,4,7,2,6,1,3]=>([(0,6),(1,6),(1,9),(2,7),(2,9),(3,7),(3,8),(3,9),(4,5),(4,8)],10)
[7,10,5,9,4,8,2,6,1,3]=>([(0,8),(0,9),(1,6),(2,6),(2,8),(3,7),(3,8),(3,9),(4,5),(4,7),(4,9)],10)
[6,10,5,9,4,8,2,7,1,3]=>([(0,8),(0,9),(1,6),(2,6),(2,9),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9)],10)
[9,10,7,8,3,6,2,5,1,4]=>([(0,9),(1,8),(1,9),(2,6),(3,5),(4,7),(4,8),(4,9)],10)
[8,10,7,9,3,6,2,5,1,4]=>([(0,9),(1,8),(2,7),(2,9),(3,6),(3,8),(4,5),(4,7),(4,9)],10)
[9,10,6,8,3,7,2,5,1,4]=>([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(4,5),(4,7)],10)
[8,10,6,9,3,7,2,5,1,4]=>([(0,9),(1,7),(1,9),(2,6),(2,8),(3,6),(3,7),(3,9),(4,5),(4,8)],10)
[7,10,6,9,3,8,2,5,1,4]=>([(0,8),(1,6),(1,8),(2,7),(2,9),(3,6),(3,8),(3,9),(4,5),(4,7),(4,9)],10)
[9,10,5,8,3,7,2,6,1,4]=>([(0,8),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(4,5),(4,7),(4,9)],10)
[8,10,5,9,3,7,2,6,1,4]=>([(0,8),(1,8),(1,9),(2,6),(2,8),(2,9),(3,6),(3,7),(3,9),(4,5),(4,7)],10)
[7,10,5,9,3,8,2,6,1,4]=>([(0,7),(1,7),(1,8),(2,7),(2,8),(2,9),(3,6),(3,8),(3,9),(4,5),(4,6),(4,9)],10)
[6,10,5,9,3,8,2,7,1,4]=>([(0,7),(1,7),(1,9),(2,7),(2,8),(2,9),(3,6),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9)],10)
[9,10,4,8,3,7,2,6,1,5]=>([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(4,5),(4,7),(4,8),(4,9)],10)
[8,10,4,9,3,7,2,6,1,5]=>([(0,9),(1,8),(1,9),(2,6),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,7)],10)
[7,10,4,9,3,8,2,6,1,5]=>([(0,9),(1,7),(1,9),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8)],10)
[6,10,4,9,3,8,2,7,1,5]=>([(0,8),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,9)],10)
[3,4,5,6,7,8,9,1,2,10]=>([(0,8),(1,3),(2,9),(3,9),(4,5),(5,7),(6,4),(7,2),(8,6)],10)
[1,4,5,6,7,8,9,10,2,3]=>([(0,8),(0,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,1)],10)
[9,10,7,8,5,6,3,1,4,2]=>([(0,9),(1,7),(2,6),(3,5),(4,8),(4,9)],10)
[9,10,7,8,5,3,6,1,4,2]=>([(0,9),(1,8),(1,9),(2,6),(3,5),(4,7),(4,8)],10)
[9,10,7,5,8,3,6,1,4,2]=>([(0,9),(1,7),(1,8),(2,7),(2,9),(3,6),(4,5),(4,8)],10)
[9,7,10,5,8,3,6,1,4,2]=>([(0,8),(1,6),(1,7),(2,6),(2,8),(3,7),(3,9),(4,5),(4,9)],10)
[10,7,9,5,8,3,6,1,4,2]=>([(1,7),(1,9),(2,7),(2,8),(3,5),(3,8),(4,6),(4,9)],10)
[10,8,9,5,7,3,6,1,4,2]=>([(1,8),(1,9),(2,7),(3,6),(3,9),(4,5),(4,8)],10)
[10,8,9,6,7,3,5,1,4,2]=>([(1,6),(2,5),(3,8),(3,9),(4,7),(4,9)],10)
[10,8,9,6,7,4,5,1,3,2]=>([(1,7),(2,6),(3,5),(4,8),(4,9)],10)
[7,6,5,4,3,2,1,10,9,8]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[7,6,5,4,3,2,1,9,8,10]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(8,7),(9,7)],10)
[6,5,4,3,2,1,9,8,7,10]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(7,6),(8,6),(9,6)],10)
[6,5,4,3,2,1,8,7,9,10]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(7,6),(8,7),(9,7)],10)
[5,4,3,2,1,9,8,7,6,10]=>([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(6,5),(7,5),(8,5),(9,5)],10)
[5,4,3,2,1,8,7,6,10,9]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(7,5),(7,6),(8,5),(8,6),(9,5),(9,6)],10)
[5,4,3,2,1,8,7,6,9,10]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(6,5),(7,6),(8,6),(9,6)],10)
[5,4,3,2,1,7,6,9,8,10]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(6,7),(8,5),(8,6),(9,5),(9,6)],10)
[5,4,3,2,1,7,6,8,9,10]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,6),(7,5),(8,7),(9,7)],10)
[4,3,2,1,8,7,6,5,9,10]=>([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(5,4),(6,5),(7,5),(8,5),(9,5)],10)
[4,3,2,1,7,6,5,10,9,8]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(7,4),(7,5),(7,6),(8,4),(8,5),(8,6),(9,4),(9,5),(9,6)],10)
[4,3,2,1,7,6,5,8,9,10]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,5),(6,4),(7,6),(8,6),(9,6)],10)
[4,3,2,1,6,5,8,7,9,10]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(5,7),(6,7),(7,4),(8,5),(8,6),(9,5),(9,6)],10)
[4,3,2,1,6,5,7,8,9,10]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,6),(6,5),(7,4),(8,7),(9,7)],10)
[3,2,1,6,5,4,9,8,7,10]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(4,3),(5,3),(6,3),(7,4),(7,5),(7,6),(8,4),(8,5),(8,6),(9,4),(9,5),(9,6)],10)
[3,2,1,6,5,4,8,7,10,9]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(5,3),(5,4),(6,3),(6,4),(7,5),(7,6),(8,5),(8,6),(9,5),(9,6)],10)
[3,2,1,6,5,4,8,7,9,10]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(4,3),(5,4),(6,4),(7,5),(7,6),(8,5),(8,6),(9,5),(9,6)],10)
[3,2,1,6,5,4,7,8,9,10]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,5),(5,4),(6,3),(7,6),(8,6),(9,6)],10)
[3,2,1,5,4,7,6,9,8,10]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[3,2,1,5,4,7,6,8,9,10]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,4),(5,7),(6,7),(7,3),(8,5),(8,6),(9,5),(9,6)],10)
[3,2,1,5,4,6,7,8,9,10]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(4,5),(5,3),(6,4),(7,6),(8,7),(9,7)],10)
[2,1,4,3,6,5,8,7,9,10]=>([(0,8),(0,9),(1,8),(1,9),(3,2),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[2,1,4,3,6,5,7,8,9,10]=>([(0,8),(0,9),(1,8),(1,9),(2,4),(4,3),(5,2),(6,5),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[2,1,4,3,5,6,7,8,9,10]=>([(0,7),(0,8),(1,7),(1,8),(3,4),(4,6),(5,3),(6,2),(7,9),(8,9),(9,5)],10)
[3,1,4,2,6,5,8,7,10,9]=>([(0,9),(1,2),(1,9),(2,7),(2,8),(5,3),(5,4),(6,3),(6,4),(7,5),(7,6),(8,5),(8,6),(9,7),(9,8)],10)
[3,1,5,2,6,4,8,7,10,9]=>([(0,2),(0,5),(1,5),(1,9),(2,8),(2,9),(5,8),(6,3),(6,4),(7,3),(7,4),(8,6),(8,7),(9,6),(9,7)],10)
[3,1,5,2,7,4,8,6,10,9]=>([(0,2),(0,9),(1,8),(1,9),(2,5),(2,8),(5,7),(6,3),(6,4),(7,3),(7,4),(8,6),(8,7),(9,5),(9,6)],10)
[3,1,5,2,7,4,9,6,10,8]=>([(0,2),(0,9),(1,8),(1,9),(2,7),(2,8),(5,4),(6,3),(6,4),(7,3),(7,5),(8,5),(8,6),(9,6),(9,7)],10)
[3,1,5,2,7,4,9,6,8,10]=>([(0,2),(0,9),(1,8),(1,9),(2,7),(2,8),(4,5),(5,3),(6,3),(7,5),(7,6),(8,4),(8,6),(9,4),(9,7)],10)
[3,1,2,5,4,7,6,9,8,10]=>([(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[4,5,6,7,8,9,10,1,2,3]=>([(0,9),(1,8),(4,5),(5,7),(6,4),(7,3),(8,6),(9,2)],10)
[4,5,6,7,8,9,10,2,3,1]=>([(1,9),(2,4),(5,6),(6,8),(7,5),(8,3),(9,7)],10)
[5,6,7,8,9,10,1,2,3,4]=>([(0,8),(1,9),(4,6),(5,4),(6,3),(7,2),(8,7),(9,5)],10)
[5,6,7,8,9,10,3,4,1,2]=>([(0,9),(1,5),(2,4),(6,8),(7,6),(8,3),(9,7)],10)
[7,8,9,10,3,4,5,6,1,2]=>([(0,9),(1,8),(2,5),(6,3),(7,4),(8,6),(9,7)],10)
[7,8,9,10,5,6,3,4,1,2]=>([(0,7),(1,6),(2,5),(3,9),(8,4),(9,8)],10)
[8,9,10,5,6,7,2,3,4,1]=>([(1,9),(2,8),(3,7),(7,4),(8,5),(9,6)],10)
[9,7,5,3,1,10,8,6,4,2]=>([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[8,7,5,3,1,10,9,6,4,2]=>([(0,8),(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[9,6,5,3,1,10,8,7,4,2]=>([(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[8,6,5,3,1,10,9,7,4,2]=>([(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[7,6,5,3,1,10,9,8,4,2]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[9,7,4,3,1,10,8,6,5,2]=>([(0,9),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[8,7,4,3,1,10,9,6,5,2]=>([(0,8),(0,9),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[9,6,4,3,1,10,8,7,5,2]=>([(0,9),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[8,6,4,3,1,10,9,7,5,2]=>([(0,8),(0,9),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[7,6,4,3,1,10,9,8,5,2]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[9,5,4,3,1,10,8,7,6,2]=>([(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[8,5,4,3,1,10,9,7,6,2]=>([(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[7,5,4,3,1,10,9,8,6,2]=>([(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[6,5,4,3,1,10,9,8,7,2]=>([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[9,7,5,2,1,10,8,6,4,3]=>([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[8,7,5,2,1,10,9,6,4,3]=>([(0,8),(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[9,6,5,2,1,10,8,7,4,3]=>([(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[8,6,5,2,1,10,9,7,4,3]=>([(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[7,6,5,2,1,10,9,8,4,3]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[9,7,4,2,1,10,8,6,5,3]=>([(0,9),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[8,7,4,2,1,10,9,6,5,3]=>([(0,8),(0,9),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[9,6,4,2,1,10,8,7,5,3]=>([(0,9),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[8,6,4,2,1,10,9,7,5,3]=>([(0,8),(0,9),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[7,6,4,2,1,10,9,8,5,3]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[9,5,4,2,1,10,8,7,6,3]=>([(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[8,5,4,2,1,10,9,7,6,3]=>([(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[7,5,4,2,1,10,9,8,6,3]=>([(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[6,5,4,2,1,10,9,8,7,3]=>([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[9,7,3,2,1,10,8,6,5,4]=>([(0,9),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[8,7,3,2,1,10,9,6,5,4]=>([(0,8),(0,9),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[9,6,3,2,1,10,8,7,5,4]=>([(0,9),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[8,6,3,2,1,10,9,7,5,4]=>([(0,8),(0,9),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[7,6,3,2,1,10,9,8,5,4]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[9,5,3,2,1,10,8,7,6,4]=>([(0,9),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[8,5,3,2,1,10,9,7,6,4]=>([(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[7,5,3,2,1,10,9,8,6,4]=>([(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[6,5,3,2,1,10,9,8,7,4]=>([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[9,4,3,2,1,10,8,7,6,5]=>([(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[8,4,3,2,1,10,9,7,6,5]=>([(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[7,4,3,2,1,10,9,8,6,5]=>([(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[6,4,3,2,1,10,9,8,7,5]=>([(0,6),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[6,1,7,2,8,3,9,4,10,5]=>([(0,9),(1,3),(1,9),(3,4),(3,6),(4,5),(4,8),(5,2),(5,7),(6,8),(8,7),(9,6)],10)
[6,1,7,8,9,10,2,3,4,5]=>([(0,9),(1,7),(1,9),(4,5),(5,2),(6,3),(7,4),(8,6),(9,8)],10)
[10,9,8,7,6,5,4,2,1,3]=>([(7,9),(8,9)],10)
[10,9,8,7,6,5,3,2,1,4]=>([(6,9),(7,9),(8,9)],10)
[10,9,8,7,6,4,3,2,1,5]=>([(5,9),(6,9),(7,9),(8,9)],10)
[10,9,8,7,5,4,3,2,1,6]=>([(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[10,9,8,6,5,4,3,2,1,7]=>([(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[10,9,7,6,5,4,3,2,1,8]=>([(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[10,8,7,6,5,4,3,2,1,9]=>([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[10,3,1,2,4,5,6,7,8,9]=>([(1,9),(2,4),(4,9),(5,7),(6,5),(7,3),(8,6),(9,8)],10)
[10,4,1,2,3,5,6,7,8,9]=>([(1,9),(2,7),(4,9),(5,6),(6,3),(7,4),(8,5),(9,8)],10)
[5,10,1,2,3,4,6,7,8,9]=>([(0,8),(1,4),(1,9),(3,9),(5,3),(6,2),(7,6),(8,5),(9,7)],10)
[10,6,1,2,3,4,5,7,8,9]=>([(1,9),(2,7),(4,9),(5,6),(6,4),(7,5),(8,3),(9,8)],10)
[10,7,1,2,3,4,5,6,8,9]=>([(1,9),(2,8),(3,9),(5,7),(6,5),(7,3),(8,6),(9,4)],10)
[8,10,1,2,3,4,5,6,7,9]=>([(0,8),(1,3),(1,9),(2,9),(4,5),(5,7),(6,4),(7,2),(8,6)],10)
[2,3,10,1,4,5,6,7,8,9]=>([(0,9),(1,7),(4,6),(5,4),(6,2),(7,3),(7,9),(8,5),(9,8)],10)
[4,3,1,10,2,5,6,7,8,9]=>([(0,8),(0,9),(1,8),(1,9),(2,4),(2,8),(4,9),(5,7),(6,5),(7,3),(9,6)],10)
[5,4,1,2,10,3,6,7,8,9]=>([(0,8),(0,9),(1,8),(1,9),(2,7),(4,9),(5,6),(6,3),(7,4),(7,8),(9,5)],10)
[5,6,1,2,3,10,4,7,8,9]=>([(0,7),(1,4),(3,8),(4,8),(4,9),(5,3),(5,9),(6,2),(7,5),(8,6)],10)
[7,6,1,2,3,4,10,5,8,9]=>([(0,8),(0,9),(1,8),(1,9),(2,6),(3,9),(5,7),(6,5),(7,3),(7,8),(9,4)],10)
[8,7,1,2,3,4,5,10,6,9]=>([(0,8),(0,9),(1,8),(1,9),(2,6),(3,9),(4,5),(5,7),(6,4),(7,3),(7,8)],10)
[8,9,1,2,3,4,5,6,10,7]=>([(0,8),(1,3),(3,9),(4,5),(5,7),(6,4),(7,2),(7,9),(8,6)],10)
[10,9,8,7,6,5,2,4,1,3]=>([(6,9),(7,8),(7,9)],10)
[10,9,8,7,3,6,2,5,1,4]=>([(4,9),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[10,9,8,7,6,3,5,1,2,4]=>([(5,8),(6,7),(6,9),(8,9)],10)
[10,9,4,8,3,7,2,6,1,5]=>([(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[10,9,8,4,7,3,6,1,2,5]=>([(3,8),(3,9),(4,7),(5,6),(5,8),(5,9),(7,9)],10)
[10,9,8,7,2,4,6,1,3,5]=>([(4,8),(5,6),(5,8),(6,7),(6,9),(8,9)],10)
[10,9,8,7,4,6,1,2,3,5]=>([(4,7),(5,6),(5,9),(7,8),(8,9)],10)
[10,5,9,4,8,3,7,1,2,6]=>([(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(4,5),(4,7),(4,8),(4,9),(6,9)],10)
[10,9,5,8,2,4,7,1,3,6]=>([(2,7),(3,5),(3,8),(3,9),(4,6),(4,7),(6,8),(6,9),(7,9)],10)
[10,9,5,8,4,7,1,2,3,6]=>([(2,8),(2,9),(3,6),(4,5),(4,8),(4,9),(6,7),(7,9)],10)
[10,9,8,3,5,7,1,2,4,6]=>([(3,6),(4,5),(4,8),(5,7),(5,9),(6,8),(8,9)],10)
[10,9,8,5,7,1,2,3,4,6]=>([(3,6),(4,5),(4,9),(6,7),(7,8),(8,9)],10)
[6,10,5,9,2,4,8,1,3,7]=>([(0,7),(1,6),(1,8),(1,9),(2,5),(2,7),(3,4),(3,6),(3,8),(3,9),(5,8),(5,9),(7,9)],10)
[6,10,5,9,4,8,1,2,3,7]=>([(0,8),(0,9),(1,7),(1,8),(1,9),(2,5),(3,4),(3,7),(3,8),(3,9),(5,6),(6,9)],10)
[10,3,6,9,2,5,8,1,4,7]=>([(1,8),(2,6),(2,8),(3,4),(3,6),(3,8),(4,5),(4,7),(4,9),(6,7),(6,9),(8,9)],10)
[10,6,9,3,5,8,1,2,4,7]=>([(1,5),(2,6),(2,8),(3,4),(3,7),(3,9),(5,8),(6,7),(6,9),(8,9)],10)
[10,6,9,5,8,1,2,3,4,7]=>([(1,8),(1,9),(2,5),(3,4),(3,8),(3,9),(5,6),(6,7),(7,9)],10)
[10,9,2,4,6,8,1,3,5,7]=>([(2,7),(3,4),(3,7),(4,6),(4,8),(6,5),(6,9),(7,8),(8,9)],10)
[10,9,4,6,8,1,2,3,5,7]=>([(2,4),(3,5),(3,8),(4,7),(5,6),(5,9),(7,8),(8,9)],10)
[10,9,6,8,1,2,3,4,5,7]=>([(2,8),(3,4),(3,9),(5,9),(6,7),(7,5),(8,6)],10)
[4,7,10,3,6,9,1,2,5,8]=>([(0,6),(0,8),(1,4),(2,3),(2,6),(2,8),(3,5),(3,7),(3,9),(4,8),(6,7),(6,9),(8,9)],10)
[7,10,2,4,6,9,1,3,5,8]=>([(0,6),(1,4),(1,6),(2,3),(2,7),(2,9),(4,5),(4,8),(5,7),(5,9),(6,8),(8,9)],10)
[7,10,4,6,9,1,2,3,5,8]=>([(0,6),(1,5),(1,8),(2,4),(2,7),(2,9),(3,8),(5,7),(5,9),(6,3),(8,9)],10)
[7,10,6,9,1,2,3,4,5,8]=>([(0,8),(0,9),(1,7),(2,4),(2,8),(2,9),(3,9),(5,6),(6,3),(7,5)],10)
[10,3,5,7,9,1,2,4,6,8]=>([(1,6),(1,9),(2,4),(4,9),(5,3),(5,8),(6,5),(6,7),(7,8),(9,7)],10)
[10,5,7,9,1,2,3,4,6,8]=>([(1,6),(2,7),(2,9),(4,9),(5,4),(6,5),(7,3),(7,8),(9,8)],10)
[10,7,9,1,2,3,4,5,6,8]=>([(1,8),(2,4),(2,9),(3,9),(5,7),(6,5),(7,3),(8,6)],10)
[4,6,8,10,1,2,3,5,7,9]=>([(0,5),(1,6),(1,9),(2,9),(4,3),(4,8),(5,2),(6,4),(6,7),(7,8),(9,7)],10)
[6,8,10,1,2,3,4,5,7,9]=>([(0,7),(0,9),(1,6),(3,9),(4,5),(5,3),(6,4),(7,2),(7,8),(9,8)],10)
[10,7,6,5,4,3,2,1,9,8]=>([(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[8,7,6,5,4,3,2,10,9,1]=>([(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[10,1,2,3,4,6,5,7,8,9]=>([(1,6),(3,9),(4,9),(5,8),(6,5),(7,2),(8,3),(8,4),(9,7)],10)
[2,3,4,5,7,6,8,9,10,1]=>([(1,6),(3,9),(4,9),(5,8),(6,5),(7,2),(8,3),(8,4),(9,7)],10)
[9,10,5,6,7,8,3,4,1,2]=>([(0,7),(1,6),(2,5),(3,9),(8,4),(9,8)],10)
[5,8,9,6,7,10,3,4,1,2]=>([(0,6),(1,5),(2,7),(2,8),(3,9),(4,9),(7,4),(8,3)],10)
[9,10,7,8,3,4,5,6,1,2]=>([(0,7),(1,6),(2,5),(3,9),(8,4),(9,8)],10)
[9,10,3,6,7,4,5,8,1,2]=>([(0,6),(1,5),(2,7),(2,8),(3,9),(4,9),(7,4),(8,3)],10)
[3,8,9,6,7,4,5,10,1,2]=>([(0,5),(1,6),(1,7),(1,8),(2,9),(3,9),(4,9),(6,4),(7,3),(8,2)],10)
[3,6,7,8,9,4,5,10,1,2]=>([(0,4),(1,7),(1,8),(2,9),(3,9),(5,6),(6,3),(7,5),(8,2)],10)
[9,10,3,4,5,6,7,8,1,2]=>([(0,9),(1,5),(2,4),(6,8),(7,6),(8,3),(9,7)],10)
[3,8,9,4,5,6,7,10,1,2]=>([(0,4),(1,7),(1,8),(2,9),(3,9),(5,6),(6,3),(7,5),(8,2)],10)
[3,4,7,8,5,6,9,10,1,2]=>([(0,5),(1,8),(2,9),(3,9),(6,3),(7,2),(8,6),(8,7),(9,4)],10)
[7,8,9,10,5,6,1,2,3,4]=>([(0,9),(1,8),(2,5),(6,3),(7,4),(8,6),(9,7)],10)
[5,8,9,6,7,10,1,2,3,4]=>([(0,8),(1,6),(1,7),(3,9),(4,9),(5,2),(6,4),(7,3),(8,5)],10)
[9,10,7,8,1,4,5,2,3,6]=>([(0,6),(1,5),(2,7),(2,8),(3,9),(4,9),(7,4),(8,3)],10)
[7,8,9,10,1,4,5,2,3,6]=>([(0,8),(1,6),(1,7),(3,9),(4,9),(5,2),(6,4),(7,3),(8,5)],10)
[9,10,1,6,7,4,5,2,3,8]=>([(0,5),(1,6),(1,7),(1,8),(2,9),(3,9),(4,9),(6,4),(7,3),(8,2)],10)
[1,8,9,6,7,4,5,2,3,10]=>([(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,9),(4,9),(5,4),(6,3),(7,2),(8,1)],10)
[1,6,7,8,9,4,5,2,3,10]=>([(0,6),(0,7),(0,8),(1,9),(2,9),(3,9),(4,5),(5,3),(6,4),(7,2),(8,1)],10)
[9,10,1,4,5,6,7,2,3,8]=>([(0,4),(1,7),(1,8),(2,9),(3,9),(5,6),(6,3),(7,5),(8,2)],10)
[1,8,9,4,5,6,7,2,3,10]=>([(0,6),(0,7),(0,8),(1,9),(2,9),(3,9),(4,5),(5,3),(6,4),(7,2),(8,1)],10)
[1,4,7,8,5,6,9,2,3,10]=>([(0,6),(0,7),(1,9),(2,8),(3,8),(4,3),(5,2),(6,1),(7,4),(7,5),(8,9)],10)
[1,4,5,6,7,8,9,2,3,10]=>([(0,7),(0,8),(1,9),(2,9),(3,4),(4,6),(5,3),(6,2),(7,5),(8,1)],10)
[9,10,1,6,7,2,3,4,5,8]=>([(0,4),(1,7),(1,8),(2,9),(3,9),(5,6),(6,3),(7,5),(8,2)],10)
[1,8,9,6,7,2,3,4,5,10]=>([(0,6),(0,7),(0,8),(1,9),(2,9),(3,9),(4,5),(5,3),(6,4),(7,2),(8,1)],10)
[1,6,7,8,9,2,3,4,5,10]=>([(0,7),(0,8),(1,9),(2,9),(3,5),(4,6),(5,2),(6,1),(7,3),(8,4)],10)
[9,10,1,2,5,6,3,4,7,8]=>([(0,5),(1,8),(2,9),(3,9),(6,3),(7,2),(8,6),(8,7),(9,4)],10)
[1,8,9,2,5,6,3,4,7,10]=>([(0,6),(0,7),(1,9),(2,8),(3,8),(4,3),(5,2),(6,1),(7,4),(7,5),(8,9)],10)
[1,2,7,8,5,6,3,4,9,10]=>([(0,8),(1,9),(2,9),(3,9),(5,3),(6,2),(7,1),(8,5),(8,6),(8,7),(9,4)],10)
[1,2,5,6,7,8,3,4,9,10]=>([(0,8),(1,9),(2,9),(4,6),(5,4),(6,2),(7,1),(8,5),(8,7),(9,3)],10)
[1,8,9,2,3,4,5,6,7,10]=>([(0,7),(0,8),(1,9),(2,9),(3,4),(4,6),(5,3),(6,2),(7,5),(8,1)],10)
[1,2,7,8,3,4,5,6,9,10]=>([(0,8),(1,9),(2,9),(4,6),(5,4),(6,2),(7,1),(8,5),(8,7),(9,3)],10)
[1,2,3,6,7,4,5,8,9,10]=>([(0,7),(2,9),(3,9),(4,3),(5,2),(6,1),(7,8),(8,4),(8,5),(9,6)],10)
[9,8,7,6,4,5,3,2,1,10]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(8,9)],10)
[8,7,9,6,5,4,3,2,1,10]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[8,7,6,9,5,4,3,2,1,10]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,8),(7,8),(8,9)],10)
[8,7,6,5,10,4,3,2,1,9]=>([(0,9),(1,9),(2,9),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[8,7,6,5,4,9,3,2,1,10]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,8),(7,8),(9,8)],10)
[8,7,6,5,4,3,9,2,1,10]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(9,8)],10)
[7,10,9,6,5,4,3,2,1,8]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,7),(6,8),(6,9)],10)
[8,6,9,10,5,4,3,2,1,7]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,8),(6,9),(8,7)],10)
[8,7,5,9,10,4,3,2,1,6]=>([(0,9),(1,9),(2,9),(3,9),(4,8),(5,8),(6,8),(6,9),(8,7)],10)
[8,7,6,4,10,9,3,2,1,5]=>([(0,7),(1,7),(2,7),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[8,7,6,5,3,9,10,2,1,4]=>([(0,9),(1,9),(2,9),(3,9),(4,8),(5,8),(6,8),(6,9),(9,7)],10)
[8,7,6,5,4,2,9,10,1,3]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,8),(6,9),(9,7)],10)
[8,7,6,5,4,3,1,10,9,2]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[2,3,4,5,6,7,10,1,8,9]=>([(0,9),(1,7),(4,6),(5,4),(6,8),(7,5),(8,2),(8,9),(9,3)],10)
[2,10,9,8,7,6,5,4,1,3]=>([(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9)],10)
[9,1,10,8,7,6,5,4,3,2]=>([(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9)],10)
[9,1,2,3,4,5,6,10,7,8]=>([(0,9),(1,7),(3,5),(4,3),(5,8),(6,2),(7,4),(8,6),(8,9)],10)
[9,2,1,8,7,6,5,4,3,10]=>([(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[3,2,9,8,7,6,5,4,1,10]=>([(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[9,3,1,8,7,6,5,4,10,2]=>([(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[9,2,10,1,7,6,5,4,3,8]=>([(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,9),(4,9),(5,9),(6,9),(7,9)],10)
[4,2,9,8,7,6,5,10,1,3]=>([(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,9),(4,9),(5,9),(6,9),(7,9)],10)
[3,10,2,8,7,6,5,4,1,9]=>([(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[9,8,7,6,5,4,3,1,2,10]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(8,9)],10)
[1,10,9,8,7,6,5,4,2,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(9,1)],10)
[1,2,10,9,8,7,6,5,4,3]=>([(0,9),(9,1),(9,2),(9,3),(9,4),(9,5),(9,6),(9,7),(9,8)],10)
[3,2,1,10,9,8,7,6,5,4]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9)],10)
[1,3,2,10,9,8,7,6,5,4]=>([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9)],10)
[1,2,3,10,9,8,7,6,5,4]=>([(0,8),(8,9),(9,1),(9,2),(9,3),(9,4),(9,5),(9,6),(9,7)],10)
[1,4,3,2,10,9,8,7,6,5]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9)],10)
[1,2,4,3,10,9,8,7,6,5]=>([(0,1),(1,2),(1,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9)],10)
[1,2,3,4,10,9,8,7,6,5]=>([(0,8),(7,9),(8,7),(9,1),(9,2),(9,3),(9,4),(9,5),(9,6)],10)
[1,5,4,3,2,10,9,8,7,6]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[2,1,5,4,3,10,9,8,7,6]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[1,2,5,4,3,10,9,8,7,6]=>([(0,1),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[1,3,2,5,4,10,9,8,7,6]=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(8,3),(8,4),(8,5),(8,6),(8,7),(9,3),(9,4),(9,5),(9,6),(9,7)],10)
[1,2,3,5,4,10,9,8,7,6]=>([(0,2),(1,3),(1,4),(2,1),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[1,2,6,5,4,3,10,9,8,7]=>([(0,5),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,1),(5,2),(5,3),(5,4)],10)
[3,2,1,6,5,4,10,9,8,7]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(7,3),(7,4),(7,5),(7,6),(8,3),(8,4),(8,5),(8,6),(9,3),(9,4),(9,5),(9,6)],10)
[1,3,2,6,5,4,10,9,8,7]=>([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[1,2,3,6,5,4,10,9,8,7]=>([(0,4),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(5,1),(5,2),(5,3)],10)
[1,2,4,3,6,5,10,9,8,7]=>([(0,1),(1,2),(1,3),(2,8),(2,9),(3,8),(3,9),(8,4),(8,5),(8,6),(8,7),(9,4),(9,5),(9,6),(9,7)],10)
[1,2,3,4,6,5,10,9,8,7]=>([(0,4),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,5),(4,3),(5,1),(5,2)],10)
[1,2,3,4,5,6,10,9,8,7]=>([(0,8),(5,7),(6,9),(7,6),(8,5),(9,1),(9,2),(9,3),(9,4)],10)
[1,4,3,2,7,6,5,10,9,8]=>([(0,1),(0,2),(0,3),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(7,4),(7,5),(7,6),(8,4),(8,5),(8,6),(9,4),(9,5),(9,6)],10)
[2,1,4,3,7,6,5,10,9,8]=>([(0,5),(0,6),(1,5),(1,6),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],10)
[1,2,4,3,7,6,5,10,9,8]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1),(3,2),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[1,2,3,4,7,6,5,10,9,8]=>([(0,5),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(5,4),(6,1),(6,2),(6,3)],10)
[1,3,2,5,4,7,6,10,9,8]=>([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(6,8),(6,9),(7,8),(7,9),(8,3),(8,4),(8,5),(9,3),(9,4),(9,5)],10)
[1,2,3,5,4,7,6,10,9,8]=>([(0,2),(1,3),(1,4),(2,1),(3,8),(3,9),(4,8),(4,9),(8,5),(8,6),(8,7),(9,5),(9,6),(9,7)],10)
[1,2,3,4,5,7,6,10,9,8]=>([(0,5),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,4),(4,6),(5,3),(6,1),(6,2)],10)
[1,2,3,4,5,6,7,10,9,8]=>([(0,8),(4,5),(5,7),(6,4),(7,9),(8,6),(9,1),(9,2),(9,3)],10)
[1,2,4,3,6,5,8,7,10,9]=>([(0,1),(1,2),(1,3),(2,8),(2,9),(3,8),(3,9),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[1,2,3,4,6,5,8,7,10,9]=>([(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(4,3),(5,1),(5,2),(6,8),(6,9),(7,8),(7,9)],10)
[1,2,3,4,5,6,8,7,10,9]=>([(0,6),(1,8),(1,9),(2,8),(2,9),(3,5),(4,3),(5,7),(6,4),(7,1),(7,2)],10)
[10,9,8,7,6,5,2,1,4,3]=>([(6,8),(6,9),(7,8),(7,9)],10)
[10,9,8,7,3,2,1,6,5,4]=>([(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[10,9,8,7,6,3,1,5,2,4]=>([(5,8),(5,9),(6,7),(6,8),(7,9)],10)
[10,9,4,3,2,1,8,7,6,5]=>([(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[10,9,8,4,3,1,7,6,2,5]=>([(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(6,9)],10)
[10,9,8,7,2,1,4,3,6,5]=>([(4,6),(4,7),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9)],10)
[10,9,8,7,4,1,6,2,3,5]=>([(4,8),(4,9),(5,6),(5,8),(6,7),(7,9)],10)
[10,5,4,3,1,9,8,7,2,6]=>([(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(5,9)],10)
[10,9,5,2,1,8,4,3,7,6]=>([(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,8),(5,9),(6,8),(6,9)],10)
[10,9,5,4,1,8,7,2,3,6]=>([(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(5,6),(6,9)],10)
[10,9,8,3,1,5,2,7,4,6]=>([(3,6),(3,8),(4,5),(4,6),(5,8),(5,9),(6,7),(6,9),(8,7)],10)
[6,5,2,1,10,9,4,3,8,7]=>([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,8),(4,9),(5,8),(5,9)],10)
[6,5,4,1,10,9,8,2,3,7]=>([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,6),(3,7),(3,8),(4,5),(5,9)],10)
[10,3,2,1,6,5,4,9,8,7]=>([(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(7,4),(7,5),(7,6),(8,4),(8,5),(8,6),(9,4),(9,5),(9,6)],10)
[10,6,5,1,9,8,2,3,4,7]=>([(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,4),(3,7),(3,8),(4,6),(5,9),(6,5)],10)
[10,9,2,1,4,3,6,5,8,7]=>([(2,8),(2,9),(3,8),(3,9),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[10,9,6,1,8,2,3,4,5,7]=>([(2,8),(2,9),(3,4),(3,8),(4,7),(5,9),(6,5),(7,6)],10)
[4,3,1,7,6,2,10,9,5,8]=>([(0,3),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(7,4),(8,4),(8,5),(8,6),(9,4),(9,5),(9,6)],10)
[7,2,1,10,4,3,6,5,9,8]=>([(0,7),(0,8),(0,9),(1,5),(1,6),(1,9),(2,5),(2,6),(2,9),(3,7),(3,8),(4,7),(4,8),(5,3),(5,4),(6,3),(6,4)],10)
[7,4,1,10,6,2,9,3,5,8]=>([(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,9),(4,6),(5,8),(5,9),(6,8)],10)
[7,6,1,10,9,2,3,4,5,8]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,6),(2,8),(2,9),(3,7),(4,5),(5,3),(6,4)],10)
[10,5,1,7,2,9,3,4,6,8]=>([(1,5),(1,9),(2,8),(2,9),(3,4),(4,8),(5,3),(5,7),(8,6),(9,6),(9,7)],10)
[10,7,1,9,2,3,4,5,6,8]=>([(1,8),(1,9),(2,7),(2,9),(3,8),(4,6),(5,4),(6,3),(7,5)],10)
[4,1,6,2,8,3,10,5,7,9]=>([(0,2),(0,9),(1,7),(1,9),(2,3),(2,8),(3,5),(3,7),(6,4),(7,6),(8,4),(8,5),(9,6),(9,8)],10)
[6,1,8,2,10,3,4,5,7,9]=>([(0,8),(0,9),(1,5),(1,9),(2,8),(3,4),(4,2),(5,3),(5,6),(8,7),(9,6),(9,7)],10)
[8,1,10,2,3,4,5,6,7,9]=>([(0,8),(0,9),(1,7),(1,9),(2,8),(3,4),(4,6),(5,3),(6,2),(7,5)],10)
[10,1,9,8,7,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9)],10)
[8,1,10,9,7,6,5,4,3,2]=>([(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9)],10)
[7,1,10,9,8,6,5,4,3,2]=>([(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9)],10)
[6,1,10,9,8,7,5,4,3,2]=>([(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9)],10)
[5,1,10,9,8,7,6,4,3,2]=>([(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9)],10)
[4,1,10,9,8,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9)],10)
[3,1,10,9,8,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9)],10)
[9,10,7,8,5,6,2,1,3,4]=>([(0,9),(1,9),(2,7),(3,6),(4,5),(9,8)],10)
[9,10,7,8,4,3,5,6,1,2]=>([(0,9),(1,9),(2,7),(3,6),(4,5),(9,8)],10)
[9,10,7,8,4,2,5,1,3,6]=>([(0,8),(1,7),(2,7),(2,8),(3,6),(4,5),(7,9),(8,9)],10)
[9,10,7,8,3,2,1,4,5,6]=>([(0,9),(1,9),(2,9),(3,6),(4,5),(7,8),(9,7)],10)
[9,10,6,5,7,8,3,4,1,2]=>([(0,9),(1,9),(2,7),(3,6),(4,5),(9,8)],10)
[9,10,6,5,7,8,2,1,3,4]=>([(0,8),(1,8),(2,9),(3,9),(4,5),(8,7),(9,6)],10)
[9,10,6,4,7,3,5,8,1,2]=>([(0,8),(1,7),(2,7),(2,8),(3,6),(4,5),(7,9),(8,9)],10)
[9,10,6,4,7,2,5,1,3,8]=>([(0,7),(1,6),(2,6),(2,8),(3,7),(3,8),(4,5),(6,9),(7,9),(8,9)],10)
[9,10,6,3,7,2,1,4,5,8]=>([(0,9),(1,9),(2,7),(3,7),(3,9),(4,5),(6,8),(7,8),(9,6)],10)
[9,10,5,4,3,6,7,8,1,2]=>([(0,9),(1,9),(2,9),(3,6),(4,5),(7,8),(9,7)],10)
[9,10,5,4,2,6,7,1,3,8]=>([(0,9),(1,9),(2,7),(3,7),(3,9),(4,5),(6,8),(7,8),(9,6)],10)
[9,10,5,3,2,6,1,4,7,8]=>([(0,9),(1,8),(2,8),(2,9),(3,8),(3,9),(4,5),(7,6),(8,7),(9,7)],10)
[9,10,4,3,2,1,5,6,7,8]=>([(0,9),(1,9),(2,9),(3,9),(4,5),(6,7),(7,8),(9,6)],10)
[8,7,9,10,5,6,3,4,1,2]=>([(0,9),(1,9),(2,7),(3,6),(4,5),(9,8)],10)
[8,7,9,10,5,6,2,1,3,4]=>([(0,8),(1,8),(2,9),(3,9),(4,5),(8,7),(9,6)],10)
[8,7,9,10,4,3,5,6,1,2]=>([(0,8),(1,8),(2,9),(3,9),(4,5),(8,7),(9,6)],10)
[8,7,9,10,4,2,5,1,3,6]=>([(0,9),(1,9),(2,7),(3,6),(4,6),(4,7),(6,8),(7,8),(9,5)],10)
[8,7,9,10,3,2,1,4,5,6]=>([(0,9),(1,9),(2,9),(3,8),(4,8),(5,7),(8,6),(9,5)],10)
[8,6,9,5,7,10,3,4,1,2]=>([(0,8),(1,7),(2,7),(2,8),(3,6),(4,5),(7,9),(8,9)],10)
[8,6,9,5,7,10,2,1,3,4]=>([(0,9),(1,9),(2,7),(3,6),(4,6),(4,7),(6,8),(7,8),(9,5)],10)
[8,6,9,4,7,3,5,10,1,2]=>([(0,7),(1,6),(2,6),(2,8),(3,7),(3,8),(4,5),(6,9),(7,9),(8,9)],10)
[8,6,9,3,7,2,1,4,5,10]=>([(0,8),(1,8),(2,7),(3,6),(3,8),(4,6),(4,7),(5,9),(6,9),(7,9),(8,5)],10)
[8,5,9,4,3,6,7,10,1,2]=>([(0,9),(1,9),(2,7),(3,7),(3,9),(4,5),(6,8),(7,8),(9,6)],10)
[8,5,9,4,2,6,7,1,3,10]=>([(0,8),(1,7),(2,6),(3,6),(3,8),(4,7),(4,8),(5,9),(6,9),(7,9),(8,5)],10)
[8,5,9,3,2,6,1,4,7,10]=>([(0,9),(1,8),(1,9),(2,8),(2,9),(3,5),(4,5),(4,8),(5,7),(6,7),(8,6),(9,6)],10)
[8,4,9,3,2,1,5,6,7,10]=>([(0,9),(1,9),(2,9),(3,7),(4,7),(4,9),(5,6),(6,8),(7,8),(9,5)],10)
[7,6,5,8,9,10,3,4,1,2]=>([(0,9),(1,9),(2,9),(3,6),(4,5),(7,8),(9,7)],10)
[7,6,5,8,9,10,2,1,3,4]=>([(0,9),(1,9),(2,9),(3,8),(4,8),(5,7),(8,6),(9,5)],10)
[7,6,4,8,9,3,5,10,1,2]=>([(0,9),(1,9),(2,7),(3,7),(3,9),(4,5),(6,8),(7,8),(9,6)],10)
[7,6,4,8,9,2,5,1,3,10]=>([(0,8),(1,8),(2,7),(3,6),(3,8),(4,6),(4,7),(5,9),(6,9),(7,9),(8,5)],10)
[7,6,3,8,9,2,1,4,5,10]=>([(0,8),(1,8),(2,9),(3,9),(4,8),(4,9),(5,7),(6,7),(8,6),(9,5)],10)
[7,5,4,8,3,6,9,10,1,2]=>([(0,9),(1,8),(2,8),(2,9),(3,8),(3,9),(4,5),(7,6),(8,7),(9,7)],10)
[7,5,4,8,2,6,9,1,3,10]=>([(0,9),(1,8),(1,9),(2,8),(2,9),(3,5),(4,5),(4,8),(5,7),(6,7),(8,6),(9,6)],10)
[7,4,3,8,2,1,5,6,9,10]=>([(0,9),(1,9),(2,8),(3,8),(3,9),(4,8),(4,9),(5,7),(7,6),(8,7),(9,5)],10)
[6,5,4,3,7,8,9,10,1,2]=>([(0,9),(1,9),(2,9),(3,9),(4,5),(6,7),(7,8),(9,6)],10)
[6,5,4,2,7,8,9,1,3,10]=>([(0,9),(1,9),(2,9),(3,7),(4,7),(4,9),(5,6),(6,8),(7,8),(9,5)],10)
[6,5,3,2,7,8,1,4,9,10]=>([(0,9),(1,9),(2,8),(3,8),(3,9),(4,8),(4,9),(5,7),(7,6),(8,7),(9,5)],10)
[1,3,2,7,6,5,10,9,8,4]=>([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[1,4,3,6,5,2,10,9,8,7]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[1,4,3,7,6,2,10,9,8,5]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(1,9),(2,4),(2,5),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],10)
[1,5,4,7,6,3,10,9,8,2]=>([(0,1),(0,2),(0,3),(0,4),(2,7),(2,8),(2,9),(3,5),(3,6),(4,5),(4,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[1,4,3,8,7,2,10,9,6,5]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(1,8),(1,9),(2,4),(2,5),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(5,6),(5,7)],10)
[1,5,4,8,7,3,10,9,6,2]=>([(0,1),(0,2),(0,3),(0,4),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,8),(5,9),(6,8),(6,9)],10)
[2,3,1,6,5,4,10,9,8,7]=>([(0,3),(0,4),(0,5),(1,2),(2,3),(2,4),(2,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[2,3,1,7,6,5,10,9,8,4]=>([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[2,4,1,6,5,3,10,9,8,7]=>([(0,3),(0,4),(0,5),(1,2),(1,5),(2,3),(2,4),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[2,4,1,7,6,3,10,9,8,5]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,3),(6,7),(6,8),(6,9)],10)
[2,5,1,7,6,4,10,9,8,3]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(6,7),(6,8),(6,9)],10)
[2,4,1,8,7,3,10,9,6,5]=>([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(5,8),(5,9),(6,8),(6,9),(7,3),(7,4),(7,8),(7,9)],10)
[2,5,1,8,7,4,10,9,6,3]=>([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(4,8),(4,9),(5,8),(5,9),(7,3),(7,8),(7,9)],10)
[3,4,2,6,5,1,10,9,8,7]=>([(0,4),(0,5),(1,3),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[3,4,2,7,6,1,10,9,8,5]=>([(0,3),(1,4),(1,5),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,9),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],10)
[3,5,2,7,6,1,10,9,8,4]=>([(0,4),(0,5),(0,9),(1,3),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],10)
[4,5,3,7,6,2,10,9,8,1]=>([(1,7),(1,8),(1,9),(2,5),(2,6),(3,4),(4,5),(4,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[3,4,2,8,7,1,10,9,6,5]=>([(0,3),(1,4),(1,5),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,8),(3,9),(4,6),(4,7),(5,6),(5,7)],10)
[3,5,2,8,7,1,10,9,6,4]=>([(0,3),(0,9),(1,4),(1,5),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,8),(4,6),(4,7),(5,6),(5,7)],10)
[4,5,3,8,7,2,10,9,6,1]=>([(1,7),(1,8),(1,9),(2,5),(2,6),(2,9),(3,4),(4,5),(4,6),(4,9),(5,7),(5,8),(6,7),(6,8)],10)
[2,5,1,6,4,3,10,9,8,7]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[2,5,1,7,4,3,10,9,8,6]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,9),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[2,6,1,7,5,4,10,9,8,3]=>([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(3,7),(3,8),(3,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[2,5,1,8,4,3,10,9,7,6]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,8),(2,9),(3,6),(3,7),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[2,6,1,8,5,4,10,9,7,3]=>([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,9),(3,7),(3,8),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[3,5,2,6,4,1,10,9,8,7]=>([(0,4),(0,5),(1,3),(1,5),(2,6),(2,7),(2,8),(2,9),(3,4),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[3,5,2,7,4,1,10,9,8,6]=>([(0,4),(0,5),(1,3),(1,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,9),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(5,9)],10)
[3,6,2,7,5,1,10,9,8,4]=>([(0,4),(0,5),(0,9),(1,3),(1,5),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],10)
[4,6,3,7,5,2,10,9,8,1]=>([(1,7),(1,8),(1,9),(2,5),(2,6),(3,4),(3,5),(4,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[3,5,2,8,4,1,10,9,7,6]=>([(0,4),(0,5),(1,3),(1,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,8),(3,9),(4,6),(4,7),(5,6),(5,7),(5,8),(5,9)],10)
[3,6,2,8,5,1,10,9,7,4]=>([(0,4),(0,5),(0,9),(1,3),(1,5),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,8),(4,6),(4,7),(5,6),(5,7),(5,8)],10)
[4,6,3,8,5,2,10,9,7,1]=>([(1,7),(1,8),(1,9),(2,5),(2,6),(3,4),(3,5),(4,6),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8)],10)
[3,7,2,8,6,1,10,9,5,4]=>([(0,4),(0,5),(0,8),(0,9),(1,3),(1,5),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(4,6),(4,7),(5,6),(5,7)],10)
[4,7,3,8,6,2,10,9,5,1]=>([(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(5,8),(5,9),(6,8),(6,9)],10)
[2,5,1,9,4,3,10,8,7,6]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,7),(2,8),(2,9),(3,6),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[2,6,1,9,5,4,10,8,7,3]=>([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,8),(2,9),(3,7),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[3,5,2,9,4,1,10,8,7,6]=>([(0,4),(0,5),(1,3),(1,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,7),(3,8),(3,9),(4,6),(5,6),(5,7),(5,8),(5,9)],10)
[3,6,2,9,5,1,10,8,7,4]=>([(0,4),(0,5),(0,9),(1,3),(1,5),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,7),(3,8),(4,6),(5,6),(5,7),(5,8)],10)
[4,6,3,9,5,2,10,8,7,1]=>([(1,7),(1,8),(1,9),(2,5),(2,6),(3,4),(3,5),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7)],10)
[3,7,2,9,6,1,10,8,5,4]=>([(0,4),(0,5),(0,8),(0,9),(1,3),(1,5),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,7),(4,6),(5,6),(5,7)],10)
[10,1,2,3,4,5,6,7,9,8]=>([(1,8),(4,5),(5,7),(6,4),(7,9),(8,6),(9,2),(9,3)],10)
[2,3,4,5,6,7,8,10,9,1]=>([(1,8),(4,5),(5,7),(6,4),(7,9),(8,6),(9,2),(9,3)],10)
[3,2,10,9,8,7,6,5,4,1]=>([(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9)],10)
[10,2,1,9,8,7,6,5,4,3]=>([(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9)],10)
[2,3,4,6,5,7,8,9,10,1]=>([(1,6),(3,9),(4,9),(5,2),(6,8),(7,5),(8,3),(8,4),(9,7)],10)
[10,1,2,3,5,4,6,7,8,9]=>([(1,6),(3,9),(4,9),(5,2),(6,8),(7,5),(8,3),(8,4),(9,7)],10)
[9,7,10,8,5,6,3,4,1,2]=>([(0,9),(1,7),(2,6),(3,5),(4,8),(4,9)],10)
[9,7,10,5,8,6,3,4,1,2]=>([(0,9),(1,8),(1,9),(2,6),(3,5),(4,7),(4,8)],10)
[9,7,10,5,8,3,6,4,1,2]=>([(0,9),(1,7),(1,8),(2,7),(2,9),(3,6),(4,5),(4,8)],10)
[9,7,10,5,8,3,6,2,4,1]=>([(1,9),(2,8),(3,6),(3,7),(4,6),(4,8),(5,7),(5,9)],10)
[9,7,10,5,8,4,6,2,3,1]=>([(1,8),(2,7),(3,7),(3,9),(4,8),(4,9),(5,6)],10)
[9,7,10,6,8,4,5,2,3,1]=>([(1,9),(2,8),(3,8),(3,9),(4,7),(5,6)],10)
[9,8,10,6,7,4,5,2,3,1]=>([(1,9),(2,9),(3,8),(4,7),(5,6)],10)
[1,10,9,8,7,6,5,2,4,3]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(9,1),(9,2)],10)
[1,10,9,8,7,6,2,5,4,3]=>([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(9,1),(9,2),(9,3)],10)
[2,10,9,8,7,1,6,5,4,3]=>([(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9)],10)
[1,10,9,8,2,7,6,5,4,3]=>([(0,6),(0,7),(0,8),(0,9),(9,1),(9,2),(9,3),(9,4),(9,5)],10)
[1,10,9,2,8,7,6,5,4,3]=>([(0,7),(0,8),(0,9),(9,1),(9,2),(9,3),(9,4),(9,5),(9,6)],10)
[2,10,1,9,8,7,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9)],10)
[3,10,9,8,7,6,5,2,1,4]=>([(0,9),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9)],10)
[4,10,9,8,7,6,1,2,5,3]=>([(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,9),(8,2),(8,9)],10)
[5,10,9,8,7,1,2,6,4,3]=>([(0,8),(1,4),(1,5),(1,6),(1,7),(1,9),(8,2),(8,3),(8,9)],10)
[6,10,9,8,2,1,7,5,4,3]=>([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,9)],10)
[7,10,9,1,2,8,6,5,4,3]=>([(0,8),(1,6),(1,7),(1,9),(8,2),(8,3),(8,4),(8,5),(8,9)],10)
[8,10,1,2,9,7,6,5,4,3]=>([(0,8),(1,7),(1,9),(8,2),(8,3),(8,4),(8,5),(8,6),(8,9)],10)
[9,2,1,10,8,7,6,5,4,3]=>([(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9)],10)
[10,1,3,2,5,4,7,6,9,8]=>([(1,2),(1,3),(2,8),(2,9),(3,8),(3,9),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[10,1,2,3,4,6,7,8,9,5]=>([(1,8),(4,7),(5,9),(6,4),(7,2),(8,5),(9,3),(9,6)],10)
[6,7,8,9,1,2,3,4,5,10]=>([(0,7),(1,8),(2,9),(3,9),(4,5),(5,2),(6,3),(7,6),(8,4)],10)
[1,7,8,9,10,2,3,4,5,6]=>([(0,8),(0,9),(3,7),(4,3),(5,6),(6,1),(7,2),(8,4),(9,5)],10)
[5,6,7,8,9,1,2,3,4,10]=>([(0,7),(1,8),(2,9),(3,9),(4,5),(5,2),(6,3),(7,6),(8,4)],10)
[1,6,7,8,9,10,2,3,4,5]=>([(0,8),(0,9),(3,7),(4,3),(5,6),(6,1),(7,2),(8,4),(9,5)],10)
[1,2,4,3,5,6,7,8,9,10]=>([(0,8),(2,9),(3,9),(4,5),(5,1),(6,4),(7,6),(8,2),(8,3),(9,7)],10)
[1,2,4,6,8,10,9,7,5,3]=>([(0,9),(6,5),(6,8),(7,2),(7,3),(8,4),(8,7),(9,1),(9,6)],10)
[2,4,1,5,6,7,8,9,10,3]=>([(0,8),(0,9),(1,3),(1,8),(3,9),(4,5),(5,7),(6,4),(7,2),(9,6)],10)
[2,3,4,5,6,7,9,1,10,8]=>([(0,8),(0,9),(1,6),(2,9),(3,5),(4,3),(5,7),(6,4),(7,2),(7,8)],10)
[2,3,5,1,6,7,8,9,10,4]=>([(0,8),(0,9),(1,7),(3,9),(4,6),(5,4),(6,2),(7,3),(7,8),(9,5)],10)
[2,3,4,5,6,8,1,9,10,7]=>([(0,8),(0,9),(1,6),(2,9),(4,5),(5,7),(6,4),(7,2),(7,8),(9,3)],10)
[2,3,4,6,1,7,8,9,10,5]=>([(0,8),(0,9),(1,6),(3,9),(4,5),(5,2),(6,7),(7,3),(7,8),(9,4)],10)
[2,3,4,5,7,1,8,9,10,6]=>([(0,8),(0,9),(1,6),(3,9),(4,7),(5,2),(6,4),(7,3),(7,8),(9,5)],10)
[4,1,2,5,6,7,8,9,10,3]=>([(0,9),(1,7),(4,6),(5,4),(6,2),(7,3),(7,9),(8,5),(9,8)],10)
[4,3,1,5,6,7,8,10,2,9]=>([(0,9),(1,9),(2,4),(2,9),(4,8),(5,7),(6,5),(7,3),(7,8),(9,6)],10)
[2,6,1,5,3,7,8,9,10,4]=>([(0,7),(0,8),(1,4),(1,7),(1,8),(4,9),(5,3),(6,5),(7,9),(8,2),(8,9),(9,6)],10)
[5,3,4,1,6,7,9,2,10,8]=>([(0,9),(1,4),(2,5),(2,9),(3,7),(4,9),(5,7),(5,8),(6,3),(6,8),(9,6)],10)
[2,3,8,1,6,7,4,9,10,5]=>([(0,7),(0,8),(1,6),(2,9),(5,9),(6,2),(6,7),(6,8),(7,5),(8,4),(8,9),(9,3)],10)
[6,3,4,5,1,8,2,9,10,7]=>([(0,8),(0,9),(1,5),(1,9),(2,6),(3,8),(3,9),(5,7),(5,8),(6,3),(7,4),(9,7)],10)
[2,3,4,10,1,7,8,9,5,6]=>([(0,8),(0,9),(1,5),(5,6),(6,2),(6,8),(6,9),(7,3),(8,7),(9,4)],10)
[9,2,1,3,4,5,6,7,8,10]=>([(0,9),(1,9),(2,8),(3,8),(4,5),(5,7),(6,4),(7,3),(9,6)],10)
[8,7,2,4,6,10,1,3,5,9]=>([(0,8),(0,9),(1,8),(1,9),(2,6),(3,4),(3,6),(4,5),(4,7),(5,8),(5,9),(6,7),(7,9)],10)
[2,10,7,9,4,6,8,1,3,5]=>([(0,9),(1,3),(1,5),(1,6),(1,9),(4,7),(5,2),(5,7),(6,4),(6,8),(9,8)],10)
[6,5,2,4,8,10,1,3,7,9]=>([(0,8),(0,9),(1,8),(1,9),(2,6),(3,4),(3,6),(4,8),(4,9),(6,9),(8,5),(8,7),(9,7)],10)
[2,8,5,7,4,6,10,1,3,9]=>([(0,7),(1,3),(1,4),(1,5),(1,7),(2,8),(2,9),(3,8),(3,9),(4,6),(5,2),(5,6),(6,8),(6,9),(7,9)],10)
[10,5,2,4,7,9,6,8,1,3]=>([(1,8),(1,9),(2,6),(3,5),(3,6),(5,8),(5,9),(8,7),(9,4),(9,7)],10)
[10,9,2,8,5,7,4,6,1,3]=>([(2,8),(3,4),(3,5),(3,6),(3,8),(5,9),(6,7),(6,9)],10)
[8,7,6,5,2,4,10,1,3,9]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,7),(5,6),(5,7),(6,8),(6,9),(7,9)],10)
[10,7,2,6,5,9,4,8,1,3]=>([(1,8),(1,9),(2,7),(3,4),(3,5),(3,6),(3,7),(4,9),(5,8),(5,9),(6,8),(6,9)],10)
[6,10,5,9,8,7,2,4,1,3]=>([(0,9),(1,6),(1,7),(1,8),(2,5),(2,9),(3,4),(3,6),(3,7),(3,8)],10)
[4,10,3,9,2,6,8,1,5,7]=>([(0,9),(1,8),(1,9),(2,6),(2,8),(2,9),(3,4),(3,6),(3,8),(3,9),(8,5),(8,7),(9,7)],10)
[4,3,10,7,9,2,6,8,1,5]=>([(0,9),(1,8),(1,9),(2,5),(2,7),(2,8),(2,9),(3,5),(3,7),(3,8),(3,9),(7,4),(7,6),(8,6)],10)
[3,6,2,5,4,8,10,1,7,9]=>([(0,9),(1,5),(1,6),(2,3),(2,5),(2,6),(3,8),(3,9),(5,8),(5,9),(6,8),(6,9),(8,4),(8,7),(9,7)],10)
[3,6,10,2,5,9,4,8,1,7]=>([(0,9),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,7),(3,8),(3,9),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[3,5,8,2,4,7,6,10,1,9]=>([(0,5),(1,9),(2,3),(2,5),(3,4),(3,6),(3,7),(4,8),(4,9),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9)],10)
[3,5,7,10,2,4,6,9,8,1]=>([(1,8),(2,4),(2,8),(4,5),(4,9),(5,3),(5,6),(5,7),(8,9),(9,6),(9,7)],10)
[10,9,3,5,8,2,4,7,6,1]=>([(3,7),(4,5),(4,7),(5,6),(5,8),(5,9),(7,8),(7,9)],10)
[8,7,3,6,2,5,4,10,1,9]=>([(0,9),(1,8),(1,9),(2,8),(2,9),(3,6),(3,7),(4,5),(4,6),(4,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[7,6,3,5,10,2,4,9,8,1]=>([(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(4,5),(4,6),(5,7),(5,8),(5,9),(6,8),(6,9)],10)
[3,6,10,9,8,2,5,7,4,1]=>([(1,8),(1,9),(2,6),(2,8),(2,9),(6,3),(6,4),(6,5),(6,7),(9,7)],10)
[10,9,8,7,3,6,2,5,4,1]=>([(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[5,4,3,8,2,7,6,10,1,9]=>([(0,9),(1,7),(1,8),(2,5),(2,7),(2,8),(3,5),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,9),(7,6),(7,9),(8,6),(8,9)],10)
[5,4,3,7,10,2,6,9,8,1]=>([(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(8,5),(8,6),(8,7),(9,6),(9,7)],10)
[5,10,4,9,3,8,2,7,6,1]=>([(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[4,8,3,7,6,5,2,10,1,9]=>([(0,9),(1,8),(1,9),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[4,7,3,6,5,10,2,9,8,1]=>([(1,8),(1,9),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[4,6,10,3,5,9,8,7,2,1]=>([(2,6),(3,4),(3,6),(4,5),(4,7),(4,8),(4,9),(6,7),(6,8),(6,9)],10)
[10,9,4,8,3,7,6,5,2,1]=>([(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[7,6,5,4,3,10,2,9,8,1]=>([(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[6,5,4,10,3,9,8,7,2,1]=>([(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[5,10,4,9,8,7,6,3,2,1]=>([(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[9,2,3,4,5,6,7,8,1,10]=>([(0,9),(1,9),(2,8),(3,9),(4,5),(5,7),(6,4),(7,3),(8,6)],10)
[1,10,3,4,5,6,7,8,9,2]=>([(0,2),(0,3),(0,9),(4,6),(5,4),(6,8),(7,5),(8,1),(9,7)],10)
[1,10,9,4,5,6,7,8,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,9),(6,8),(7,1),(8,7),(9,6)],10)
[8,1,2,3,4,5,6,7,10,9]=>([(0,8),(0,9),(1,7),(2,8),(2,9),(3,4),(4,6),(5,3),(6,2),(7,5)],10)
[2,3,4,5,6,7,9,8,1,10]=>([(0,9),(1,7),(2,9),(3,9),(4,6),(5,4),(6,8),(7,5),(8,2),(8,3)],10)
[1,3,4,5,6,7,8,10,9,2]=>([(0,3),(0,8),(4,5),(5,7),(6,4),(7,9),(8,6),(9,1),(9,2)],10)
[1,2,3,4,5,6,10,8,9,7]=>([(0,8),(4,6),(5,4),(6,9),(7,1),(8,5),(9,2),(9,3),(9,7)],10)
[1,2,3,4,5,10,7,8,9,6]=>([(0,8),(4,5),(5,9),(6,7),(7,1),(8,4),(9,2),(9,3),(9,6)],10)
[1,2,3,4,10,6,7,8,9,5]=>([(0,8),(4,7),(5,9),(6,4),(7,1),(8,5),(9,2),(9,3),(9,6)],10)
[1,2,3,10,5,6,7,8,9,4]=>([(0,8),(4,5),(5,7),(6,4),(7,1),(8,9),(9,2),(9,3),(9,6)],10)
[1,2,10,4,5,6,7,8,9,3]=>([(0,9),(4,6),(5,4),(6,8),(7,5),(8,1),(9,2),(9,3),(9,7)],10)
[10,2,3,4,5,6,7,8,9,1]=>([(2,9),(4,6),(5,4),(6,8),(7,5),(8,3),(9,7)],10)
[1,2,3,4,6,8,5,7,10,9]=>([(0,5),(1,7),(2,8),(2,9),(3,6),(4,2),(4,7),(5,3),(6,1),(6,4),(7,8),(7,9)],10)
[1,2,3,4,7,5,8,6,10,9]=>([(0,5),(1,7),(2,8),(2,9),(3,6),(4,2),(4,7),(5,3),(6,1),(6,4),(7,8),(7,9)],10)
[1,2,3,5,7,4,6,9,8,10]=>([(0,4),(1,6),(2,7),(2,8),(3,2),(3,6),(4,5),(5,1),(5,3),(6,7),(6,8),(7,9),(8,9)],10)
[1,2,3,6,4,7,5,9,8,10]=>([(0,4),(1,6),(2,7),(2,8),(3,2),(3,6),(4,5),(5,1),(5,3),(6,7),(6,8),(7,9),(8,9)],10)
[7,10,1,2,3,4,5,6,8,9]=>([(0,8),(1,4),(1,9),(2,9),(5,7),(6,5),(7,2),(8,6),(9,3)],10)
[6,10,1,2,3,4,5,7,8,9]=>([(0,8),(1,4),(1,9),(3,9),(5,3),(6,5),(7,2),(8,6),(9,7)],10)
[4,10,1,2,3,5,6,7,8,9]=>([(0,8),(1,4),(1,9),(3,9),(5,6),(6,2),(7,5),(8,3),(9,7)],10)
[3,10,1,2,4,5,6,7,8,9]=>([(0,4),(1,3),(1,9),(4,9),(5,7),(6,5),(7,2),(8,6),(9,8)],10)
[10,9,8,7,5,6,4,3,2,1]=>([(8,9)],10)
[2,1,10,9,8,6,7,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(9,2)],10)
[1,9,8,7,6,5,4,3,2,10]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[2,8,9,10,1,3,4,5,6,7]=>([(0,9),(1,7),(1,9),(4,5),(5,2),(6,3),(7,6),(8,4),(9,8)],10)
[8,1,9,2,10,3,4,5,6,7]=>([(0,9),(1,7),(1,9),(3,4),(4,6),(5,3),(6,2),(7,5),(7,8),(9,8)],10)
[7,1,8,2,9,3,10,4,5,6]=>([(0,9),(1,6),(1,9),(3,5),(4,3),(4,8),(5,2),(6,4),(6,7),(7,8),(9,7)],10)
[5,1,6,2,7,3,8,4,10,9]=>([(0,8),(1,3),(1,8),(2,4),(2,9),(3,2),(3,7),(4,5),(4,6),(7,9),(8,7),(9,5),(9,6)],10)
[4,1,5,2,6,3,8,7,10,9]=>([(0,6),(1,2),(1,6),(2,3),(2,9),(3,7),(3,8),(6,9),(7,4),(7,5),(8,4),(8,5),(9,7),(9,8)],10)
[2,1,3,4,5,6,7,9,10,8]=>([(0,9),(1,9),(4,5),(5,8),(6,2),(7,4),(8,3),(8,6),(9,7)],10)
[2,1,3,4,5,6,7,8,10,9]=>([(0,9),(1,9),(4,6),(5,4),(6,8),(7,5),(8,2),(8,3),(9,7)],10)
[7,1,2,3,4,5,8,9,10,6]=>([(0,9),(1,6),(4,5),(5,7),(6,4),(7,2),(7,9),(8,3),(9,8)],10)
[6,1,2,3,4,7,8,9,10,5]=>([(0,9),(1,6),(4,7),(5,2),(6,4),(7,3),(7,9),(8,5),(9,8)],10)
[5,1,2,3,6,7,8,9,10,4]=>([(0,9),(1,6),(4,5),(5,2),(6,7),(7,3),(7,9),(8,4),(9,8)],10)
[9,7,5,4,3,2,1,10,8,6]=>([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[8,6,5,4,3,2,1,9,7,10]=>([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(8,7),(9,7)],10)
[9,7,5,3,2,1,10,8,6,4]=>([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[8,6,4,3,2,1,9,7,5,10]=>([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(7,6),(8,6),(9,6)],10)
[8,5,4,3,2,1,9,6,10,7]=>([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(8,6),(8,7),(9,7)],10)
[7,5,4,3,2,1,8,6,9,10]=>([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(7,6),(8,7),(9,7)],10)
[8,6,4,2,1,9,7,5,3,10]=>([(0,9),(1,7),(1,9),(2,6),(2,7),(2,9),(3,5),(3,6),(3,7),(3,9),(4,5),(4,6),(4,7),(4,9),(5,8),(6,8),(7,8),(9,8)],10)
[8,5,3,2,1,9,6,4,10,7]=>([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(7,5),(7,6),(8,5),(8,6),(9,6)],10)
[7,5,3,2,1,8,6,4,9,10]=>([(0,9),(1,8),(1,9),(2,6),(2,8),(2,9),(3,6),(3,8),(3,9),(4,6),(4,8),(4,9),(6,7),(7,5),(8,7),(9,7)],10)
[7,4,3,2,1,8,5,9,6,10]=>([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(6,7),(8,5),(8,6),(9,6)],10)
[6,4,3,2,1,7,5,8,9,10]=>([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,6),(7,5),(8,7),(9,7)],10)
[8,5,3,1,9,6,4,2,10,7]=>([(0,8),(1,6),(1,8),(2,5),(2,6),(2,8),(3,4),(3,5),(3,6),(3,8),(4,7),(4,9),(5,7),(5,9),(6,7),(6,9),(8,9)],10)
[7,5,3,1,8,6,4,2,9,10]=>([(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,4),(3,6),(3,7),(3,8),(4,9),(6,9),(7,9),(8,9),(9,5)],10)
[8,5,2,1,9,6,3,10,7,4]=>([(0,9),(1,8),(1,9),(2,6),(2,8),(2,9),(3,6),(3,8),(3,9),(6,4),(6,5),(6,7),(8,5),(8,7),(9,7)],10)
[7,4,2,1,8,5,3,9,6,10]=>([(0,9),(1,7),(1,9),(2,4),(2,7),(2,9),(3,4),(3,7),(3,9),(4,6),(4,8),(6,5),(7,6),(7,8),(8,5),(9,8)],10)
[6,4,2,1,7,5,3,8,9,10]=>([(0,9),(1,7),(1,9),(2,6),(2,7),(2,9),(3,6),(3,7),(3,9),(4,5),(6,8),(7,8),(8,4),(9,8)],10)
[7,3,2,1,8,4,9,5,10,6]=>([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,5),(4,7),(6,7),(8,4),(8,6),(9,6)],10)
[6,3,2,1,7,4,8,5,9,10]=>([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(5,7),(6,7),(7,4),(8,5),(8,6),(9,6)],10)
[5,3,2,1,6,4,7,8,9,10]=>([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,6),(6,5),(7,4),(8,7),(9,7)],10)
[7,4,1,8,5,2,9,6,3,10]=>([(0,7),(1,5),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,9),(4,8),(5,6),(5,9),(6,8),(7,9),(9,8)],10)
[7,3,1,8,4,2,9,5,10,6]=>([(0,8),(1,5),(1,8),(2,3),(2,5),(2,8),(3,7),(3,9),(5,7),(5,9),(7,4),(7,6),(8,9),(9,6)],10)
[6,3,1,7,4,2,8,5,9,10]=>([(0,8),(1,5),(1,8),(2,4),(2,5),(2,8),(4,7),(4,9),(5,7),(5,9),(6,3),(7,6),(8,9),(9,6)],10)
[5,3,1,6,4,2,7,8,9,10]=>([(0,9),(1,7),(1,9),(2,4),(2,7),(2,9),(4,8),(5,3),(6,5),(7,8),(8,6),(9,8)],10)
[6,2,1,7,3,8,4,9,5,10]=>([(0,9),(1,8),(1,9),(2,8),(2,9),(3,4),(3,7),(4,5),(6,7),(7,5),(8,3),(8,6),(9,6)],10)
[5,2,1,6,3,7,4,8,9,10]=>([(0,9),(1,7),(1,9),(2,7),(2,9),(3,8),(4,5),(6,8),(7,3),(7,6),(8,4),(9,6)],10)
[4,2,1,5,3,6,7,8,9,10]=>([(0,9),(1,7),(1,9),(2,7),(2,9),(4,6),(5,4),(6,3),(7,8),(8,5),(9,8)],10)
[5,1,6,2,7,3,8,4,9,10]=>([(0,8),(1,5),(1,8),(3,9),(4,3),(4,7),(5,4),(5,6),(6,7),(7,9),(8,6),(9,2)],10)
[4,1,5,2,6,3,7,8,9,10]=>([(0,8),(1,6),(1,8),(3,9),(4,5),(5,2),(6,3),(6,7),(7,9),(8,7),(9,4)],10)
[3,1,4,2,5,6,7,8,9,10]=>([(0,8),(1,3),(1,8),(3,9),(4,5),(5,7),(6,4),(7,2),(8,9),(9,6)],10)
[1,9,2,3,4,5,6,7,8,10]=>([(0,2),(0,8),(1,9),(2,9),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],10)
[1,2,3,4,5,6,7,9,8,10]=>([(0,7),(1,9),(2,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(8,2)],10)
[10,3,4,5,6,7,8,9,1,2]=>([(1,9),(2,4),(5,6),(6,8),(7,5),(8,3),(9,7)],10)
[9,3,4,5,6,7,8,1,10,2]=>([(0,9),(1,8),(2,4),(2,9),(3,9),(5,7),(6,5),(7,3),(8,6)],10)
[8,3,4,5,6,7,1,9,10,2]=>([(0,9),(1,8),(2,5),(2,9),(3,9),(6,7),(7,3),(8,6),(9,4)],10)
[7,3,4,5,6,1,8,9,10,2]=>([(0,9),(1,8),(2,5),(2,9),(4,9),(6,4),(7,3),(8,6),(9,7)],10)
[6,3,4,5,1,7,8,9,10,2]=>([(0,9),(1,8),(2,5),(2,9),(4,9),(6,3),(7,6),(8,4),(9,7)],10)
[5,3,4,1,6,7,8,9,10,2]=>([(0,9),(1,5),(2,4),(2,9),(5,9),(6,7),(7,3),(8,6),(9,8)],10)
[4,3,1,5,6,7,8,9,10,2]=>([(0,9),(1,9),(2,4),(2,9),(5,7),(6,5),(7,3),(8,6),(9,8)],10)
[10,9,4,5,6,7,8,1,2,3]=>([(2,9),(3,8),(6,7),(7,5),(8,6),(9,4)],10)
[10,3,8,5,6,7,1,9,2,4]=>([(1,5),(1,9),(2,4),(2,7),(2,8),(3,9),(4,9),(5,8),(6,3),(7,6)],10)
[10,3,4,7,6,1,8,9,2,5]=>([(1,7),(2,6),(2,9),(3,9),(4,9),(6,8),(7,3),(7,4),(7,8),(9,5)],10)
[10,3,4,5,1,7,8,9,2,6]=>([(1,7),(2,5),(2,9),(4,8),(4,9),(5,8),(6,3),(7,4),(9,6)],10)
[5,3,4,1,6,10,8,9,2,7]=>([(0,9),(1,5),(2,6),(2,9),(5,9),(6,8),(7,3),(9,4),(9,7),(9,8)],10)
[4,3,1,5,6,7,10,9,2,8]=>([(0,9),(1,9),(2,5),(2,9),(5,8),(6,7),(7,3),(7,4),(7,8),(9,6)],10)
[3,1,4,5,6,7,8,10,2,9]=>([(0,9),(1,3),(1,9),(3,8),(4,5),(5,7),(6,4),(7,2),(7,8),(9,6)],10)
[9,2,3,4,5,6,7,10,1,8]=>([(0,9),(1,8),(2,7),(3,8),(3,9),(4,6),(5,4),(6,3),(7,5)],10)
[9,2,10,4,5,6,7,8,1,3]=>([(0,9),(1,8),(2,7),(2,8),(2,9),(4,6),(5,4),(6,3),(7,5)],10)
[2,10,4,5,6,7,8,9,1,3]=>([(0,9),(1,3),(1,8),(1,9),(4,5),(5,7),(6,4),(7,2),(8,6)],10)
[9,8,4,5,6,7,1,2,10,3]=>([(0,9),(1,9),(2,7),(3,8),(5,9),(6,5),(7,6),(8,4),(8,9)],10)
[2,10,9,5,6,7,8,1,3,4]=>([(0,9),(1,3),(1,4),(1,8),(1,9),(6,7),(7,2),(8,6),(9,5)],10)
[9,3,8,5,6,7,1,2,10,4]=>([(0,9),(1,5),(2,4),(2,7),(2,8),(3,9),(4,9),(5,8),(5,9),(6,3),(7,6)],10)
[9,7,4,5,6,1,8,2,10,3]=>([(0,9),(1,8),(2,4),(3,5),(3,8),(4,7),(5,6),(5,9),(7,8),(8,9)],10)
[2,10,4,9,6,7,8,1,3,5]=>([(0,9),(1,4),(1,7),(1,9),(5,6),(6,3),(7,2),(7,5),(7,8),(9,8)],10)
[2,10,8,5,6,7,1,9,3,4]=>([(0,8),(0,9),(1,2),(1,4),(1,7),(1,8),(3,9),(4,9),(6,3),(7,6),(8,5)],10)
[1,3,2,4,5,6,7,8,9,10]=>([(0,2),(0,3),(2,9),(3,9),(4,5),(5,7),(6,4),(7,1),(8,6),(9,8)],10)
[9,2,3,4,5,6,7,8,10,1]=>([(1,9),(2,8),(3,9),(4,5),(5,7),(6,4),(7,3),(8,6)],10)
[8,2,3,4,5,6,7,10,9,1]=>([(1,8),(1,9),(2,7),(3,8),(3,9),(4,6),(5,4),(6,3),(7,5)],10)
[7,2,3,4,5,6,10,8,9,1]=>([(1,8),(1,9),(2,7),(3,8),(3,9),(5,6),(6,3),(7,5),(9,4)],10)
[6,2,3,4,5,10,7,8,9,1]=>([(1,8),(1,9),(2,7),(4,8),(4,9),(5,4),(6,3),(7,5),(9,6)],10)
[5,2,3,4,10,6,7,8,9,1]=>([(1,8),(1,9),(2,7),(4,8),(4,9),(5,6),(6,3),(7,4),(9,5)],10)
[4,2,3,10,5,6,7,8,9,1]=>([(1,8),(1,9),(2,4),(4,8),(4,9),(5,7),(6,5),(7,3),(9,6)],10)
[3,2,10,4,5,6,7,8,9,1]=>([(1,8),(1,9),(2,8),(2,9),(4,5),(5,7),(6,4),(7,3),(9,6)],10)
[2,10,3,4,5,6,7,8,9,1]=>([(1,3),(1,9),(4,6),(5,4),(6,8),(7,5),(8,2),(9,7)],10)
[2,3,4,6,7,5,8,9,1,10]=>([(0,8),(1,6),(2,9),(3,9),(4,8),(5,3),(6,7),(7,2),(7,5),(9,4)],10)
[1,3,4,5,7,8,6,9,10,2]=>([(0,4),(0,7),(1,9),(2,9),(5,8),(6,2),(7,5),(8,1),(8,6),(9,3)],10)
[9,7,5,3,1,8,6,4,2,10]=>([(0,9),(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,9),(6,9),(7,9),(8,9)],10)
[1,10,8,6,4,2,9,7,5,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,1),(6,7),(6,8),(6,9)],10)
[3,1,2,4,5,6,7,8,9,10]=>([(0,9),(1,3),(3,9),(4,5),(5,7),(6,4),(7,2),(8,6),(9,8)],10)
[9,7,6,5,4,3,2,1,8,10]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10)
[10,3,2,4,5,6,7,8,9,1]=>([(2,9),(3,9),(5,7),(6,5),(7,4),(8,6),(9,8)],10)
[9,1,2,3,4,5,6,8,7,10]=>([(0,9),(1,7),(2,9),(3,9),(4,6),(5,4),(6,8),(7,5),(8,2),(8,3)],10)
[1,10,2,3,4,5,6,7,9,8]=>([(0,3),(0,8),(4,5),(5,7),(6,4),(7,9),(8,6),(9,1),(9,2)],10)
[1,3,4,5,6,7,8,10,2,9]=>([(0,2),(0,8),(2,9),(3,5),(4,3),(5,7),(6,4),(7,1),(7,9),(8,6)],10)
[1,3,4,5,6,7,8,9,2,10]=>([(0,2),(0,8),(1,9),(2,9),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],10)
[1,2,3,4,5,6,8,10,9,7]=>([(0,7),(4,6),(5,4),(6,8),(7,5),(8,3),(8,9),(9,1),(9,2)],10)
[1,2,3,4,5,7,8,10,9,6]=>([(0,7),(4,5),(5,8),(6,9),(7,4),(8,3),(8,6),(9,1),(9,2)],10)
[1,2,3,4,5,7,9,10,8,6]=>([(0,7),(4,5),(5,8),(6,1),(7,4),(8,2),(8,9),(9,3),(9,6)],10)
[1,2,3,4,5,7,10,9,8,6]=>([(0,7),(5,6),(6,8),(7,5),(8,4),(8,9),(9,1),(9,2),(9,3)],10)
[1,2,3,4,6,7,8,10,9,5]=>([(0,7),(4,9),(5,8),(6,4),(7,5),(8,3),(8,6),(9,1),(9,2)],10)
[1,2,3,4,6,7,9,10,8,5]=>([(0,7),(4,8),(5,9),(6,1),(7,4),(8,2),(8,5),(9,3),(9,6)],10)
[1,2,3,4,6,7,10,9,8,5]=>([(0,7),(5,8),(6,9),(7,5),(8,4),(8,6),(9,1),(9,2),(9,3)],10)
[1,2,3,4,6,8,10,9,7,5]=>([(0,6),(5,9),(6,5),(7,2),(7,8),(8,3),(8,4),(9,1),(9,7)],10)
[1,2,3,4,6,10,9,8,7,5]=>([(0,7),(6,8),(7,6),(8,5),(8,9),(9,1),(9,2),(9,3),(9,4)],10)
[1,2,3,5,6,7,9,10,8,4]=>([(0,7),(4,8),(5,4),(6,1),(7,9),(8,2),(8,6),(9,3),(9,5)],10)
[1,2,3,5,6,7,10,9,8,4]=>([(0,7),(5,6),(6,9),(7,8),(8,4),(8,5),(9,1),(9,2),(9,3)],10)
[1,2,3,5,6,8,9,10,7,4]=>([(0,7),(4,6),(5,8),(6,1),(7,9),(8,2),(8,4),(9,3),(9,5)],10)
[1,2,3,5,6,8,10,9,7,4]=>([(0,6),(5,9),(6,8),(7,3),(7,4),(8,1),(8,5),(9,2),(9,7)],10)
[1,2,3,5,6,10,9,8,7,4]=>([(0,7),(6,9),(7,8),(8,5),(8,6),(9,1),(9,2),(9,3),(9,4)],10)
[1,2,3,5,7,9,10,8,6,4]=>([(0,6),(5,4),(6,7),(7,2),(7,8),(8,3),(8,9),(9,1),(9,5)],10)
[1,2,3,5,7,10,9,8,6,4]=>([(0,6),(6,8),(7,5),(7,9),(8,1),(8,7),(9,2),(9,3),(9,4)],10)
[1,2,3,5,10,9,8,7,6,4]=>([(0,7),(7,8),(8,6),(8,9),(9,1),(9,2),(9,3),(9,4),(9,5)],10)
[1,2,4,5,7,8,10,9,6,3]=>([(0,9),(5,8),(6,7),(7,3),(7,4),(8,1),(8,6),(9,2),(9,5)],10)
[1,2,4,5,7,9,10,8,6,3]=>([(0,9),(5,8),(6,4),(7,3),(7,6),(8,1),(8,7),(9,2),(9,5)],10)
[1,2,4,5,7,10,9,8,6,3]=>([(0,8),(6,7),(7,5),(7,9),(8,1),(8,6),(9,2),(9,3),(9,4)],10)
[1,2,4,5,10,9,8,7,6,3]=>([(0,8),(7,9),(8,6),(8,7),(9,1),(9,2),(9,3),(9,4),(9,5)],10)
[1,2,4,6,10,9,8,7,5,3]=>([(0,8),(7,6),(7,9),(8,1),(8,7),(9,2),(9,3),(9,4),(9,5)],10)
[1,2,4,10,9,8,7,6,5,3]=>([(0,8),(8,7),(8,9),(9,1),(9,2),(9,3),(9,4),(9,5),(9,6)],10)
[1,3,5,7,9,10,8,6,4,2]=>([(0,5),(0,9),(6,4),(7,3),(7,8),(8,1),(8,6),(9,2),(9,7)],10)
[1,3,5,7,10,9,8,6,4,2]=>([(0,6),(0,8),(7,5),(7,9),(8,1),(8,7),(9,2),(9,3),(9,4)],10)
[1,3,5,10,9,8,7,6,4,2]=>([(0,7),(0,8),(8,6),(8,9),(9,1),(9,2),(9,3),(9,4),(9,5)],10)
[1,3,10,9,8,7,6,5,4,2]=>([(0,8),(0,9),(9,1),(9,2),(9,3),(9,4),(9,5),(9,6),(9,7)],10)
[9,1,8,2,3,4,5,6,10,7]=>([(0,9),(1,3),(1,7),(3,9),(4,6),(5,4),(6,8),(7,5),(8,2),(8,9)],10)
[9,7,1,2,3,4,5,6,10,8]=>([(0,9),(1,8),(1,9),(2,7),(3,8),(3,9),(4,6),(5,4),(6,3),(7,5)],10)
[2,10,1,9,3,4,5,6,7,8]=>([(0,8),(0,9),(1,3),(1,8),(1,9),(4,5),(5,7),(6,4),(7,2),(9,6)],10)
[2,10,8,1,3,4,5,6,7,9]=>([(0,9),(1,2),(1,4),(1,9),(3,8),(4,8),(5,7),(6,3),(7,6),(9,5)],10)
[10,3,4,5,6,7,9,1,2,8]=>([(1,8),(2,4),(4,9),(5,7),(6,5),(7,3),(7,9),(8,6)],10)
[3,5,7,9,1,2,4,6,8,10]=>([(0,5),(0,9),(1,3),(2,7),(3,9),(4,2),(4,8),(5,4),(5,6),(6,8),(8,7),(9,6)],10)
[4,1,2,3,5,6,7,8,9,10]=>([(0,9),(1,7),(3,9),(4,6),(5,4),(6,2),(7,3),(8,5),(9,8)],10)
[5,1,2,3,4,6,7,8,9,10]=>([(0,9),(1,7),(3,9),(4,3),(5,6),(6,2),(7,4),(8,5),(9,8)],10)
[8,1,2,3,4,5,6,7,9,10]=>([(0,9),(1,8),(2,9),(4,5),(5,7),(6,4),(7,2),(8,6),(9,3)],10)
[7,1,2,3,4,5,6,8,9,10]=>([(0,9),(1,7),(3,9),(4,6),(5,4),(6,3),(7,5),(8,2),(9,8)],10)
[6,1,2,3,4,5,7,8,9,10]=>([(0,9),(1,7),(3,9),(4,5),(5,3),(6,2),(7,4),(8,6),(9,8)],10)
[3,4,1,6,2,5,8,7,10,9]=>([(0,3),(1,2),(1,8),(2,9),(3,8),(3,9),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[10,8,6,4,2,1,3,5,7,9]=>([(1,6),(2,6),(3,8),(4,9),(5,7),(6,9),(8,7),(9,8)],10)
[10,8,6,2,1,4,3,5,7,9]=>([(1,8),(2,7),(3,5),(3,6),(4,5),(4,6),(5,9),(6,9),(7,8),(9,7)],10)
[10,8,4,2,1,6,3,5,7,9]=>([(1,5),(1,9),(2,5),(2,9),(3,6),(4,7),(4,9),(5,7),(7,8),(8,6),(9,8)],10)
[10,6,4,2,1,8,3,5,7,9]=>([(1,5),(1,9),(2,5),(2,9),(3,7),(3,9),(4,8),(4,9),(5,8),(7,6),(8,7),(9,6)],10)
[8,6,4,2,1,10,3,5,7,9]=>([(0,5),(0,9),(1,5),(1,9),(2,7),(2,9),(3,8),(3,9),(4,6),(4,9),(5,8),(7,6),(8,7)],10)
[8,6,4,2,9,1,3,5,7,10]=>([(0,5),(1,9),(2,5),(2,9),(3,7),(3,9),(4,8),(4,9),(5,8),(7,6),(8,7),(9,6)],10)
[9,6,4,2,7,1,3,5,8,10]=>([(0,5),(1,9),(2,5),(2,9),(3,6),(4,7),(4,9),(5,7),(7,8),(8,6),(9,8)],10)
[9,7,4,2,5,1,3,6,8,10]=>([(0,8),(1,7),(2,6),(3,5),(4,5),(4,6),(5,9),(6,9),(7,8),(9,7)],10)
[9,7,5,2,3,1,4,6,8,10]=>([(0,6),(1,9),(2,7),(3,8),(4,5),(5,9),(6,8),(8,7),(9,6)],10)
[9,7,5,3,1,2,4,6,8,10]=>([(0,6),(1,9),(2,7),(3,8),(4,5),(5,9),(6,8),(8,7),(9,6)],10)
[1,2,10,3,4,5,6,7,9,8]=>([(0,9),(4,5),(5,7),(6,4),(7,8),(8,2),(8,3),(9,1),(9,6)],10)
[1,2,3,9,4,5,6,10,7,8]=>([(0,7),(2,9),(3,6),(4,3),(5,1),(6,5),(6,9),(7,8),(8,2),(8,4)],10)
[1,2,3,4,10,5,6,7,9,8]=>([(0,7),(4,9),(5,8),(6,4),(7,5),(8,3),(8,6),(9,1),(9,2)],10)
[1,2,3,4,5,10,6,7,9,8]=>([(0,7),(4,5),(5,8),(6,9),(7,4),(8,3),(8,6),(9,1),(9,2)],10)
[1,2,3,4,5,6,9,10,7,8]=>([(0,8),(3,5),(4,3),(5,9),(6,2),(7,1),(8,4),(9,6),(9,7)],10)
[8,1,2,3,4,5,9,6,10,7]=>([(0,9),(1,6),(3,5),(4,3),(5,7),(5,9),(6,4),(7,2),(7,8),(9,8)],10)
[7,10,1,2,3,4,5,9,6,8]=>([(0,7),(1,3),(1,8),(1,9),(2,9),(4,6),(5,4),(6,2),(6,8),(7,5)],10)
[6,1,10,2,3,4,5,9,7,8]=>([(0,7),(0,8),(0,9),(1,6),(1,9),(2,7),(2,8),(4,5),(5,2),(6,4),(8,3)],10)
[5,1,2,3,4,6,9,7,10,8]=>([(0,9),(1,6),(3,9),(4,8),(5,3),(6,5),(7,2),(7,8),(9,4),(9,7)],10)
[4,1,2,3,10,5,6,9,7,8]=>([(0,8),(0,9),(1,6),(4,8),(4,9),(5,3),(6,4),(7,2),(7,5),(9,7)],10)
[3,1,2,4,5,10,6,9,7,8]=>([(0,9),(1,5),(5,9),(6,4),(7,3),(7,6),(8,2),(8,7),(9,8)],10)
[9,1,2,3,4,5,7,10,6,8]=>([(0,9),(1,6),(2,8),(3,8),(3,9),(4,5),(5,7),(6,4),(7,2),(7,3)],10)
[9,1,2,3,5,7,10,4,6,8]=>([(0,9),(1,4),(2,8),(2,9),(3,7),(4,6),(5,2),(5,7),(6,3),(6,5),(7,8)],10)
[9,1,3,5,7,10,2,4,6,8]=>([(0,9),(1,2),(1,4),(2,6),(3,7),(3,9),(4,5),(4,6),(5,3),(5,8),(6,8),(8,7)],10)
[7,8,9,6,5,4,3,2,1,10]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,7),(7,8),(8,9)],10)
[7,6,8,9,5,4,3,2,1,10]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,8),(7,9),(8,7)],10)
[7,6,5,8,9,4,3,2,1,10]=>([(0,9),(1,9),(2,9),(3,9),(4,8),(5,8),(6,8),(7,9),(8,7)],10)
[7,6,5,4,8,9,3,2,1,10]=>([(0,9),(1,9),(2,9),(3,8),(4,8),(5,8),(6,8),(7,9),(8,7)],10)
[7,6,5,4,3,8,9,2,1,10]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,8),(7,8),(9,7)],10)
[7,6,5,4,3,2,8,9,1,10]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(9,7)],10)
[9,8,7,6,5,4,2,1,3,10]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[9,8,7,6,5,3,2,1,4,10]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,8),(7,8),(8,9)],10)
[9,8,7,6,4,3,2,1,5,10]=>([(0,9),(1,9),(2,9),(3,9),(4,8),(5,8),(6,8),(7,8),(8,9)],10)
[9,8,7,5,4,3,2,1,6,10]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,8),(7,8),(9,8)],10)
[9,8,6,5,4,3,2,1,7,10]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(9,8)],10)
[10,1,3,4,5,6,7,8,9,2]=>([(1,3),(1,9),(4,6),(5,4),(6,8),(7,5),(8,2),(9,7)],10)
[1,9,3,4,5,6,7,10,2,8]=>([(0,2),(0,3),(0,7),(1,8),(1,9),(2,9),(3,8),(4,6),(5,4),(6,1),(7,5)],10)
[9,2,3,4,5,6,1,10,8,7]=>([(0,9),(1,7),(1,8),(1,9),(2,6),(3,7),(3,8),(3,9),(4,5),(5,3),(6,4)],10)
[9,1,10,4,5,6,7,8,3,2]=>([(0,9),(1,3),(1,4),(1,8),(1,9),(5,7),(6,5),(7,2),(8,6)],10)
[8,10,3,4,5,6,7,1,9,2]=>([(0,8),(1,5),(1,9),(2,4),(2,9),(3,9),(6,7),(7,3),(8,6)],10)
[10,6,1,2,3,4,9,5,7,8]=>([(1,8),(1,9),(2,6),(3,9),(5,7),(6,5),(7,3),(7,8),(9,4)],10)
[10,7,1,2,3,4,9,5,6,8]=>([(1,8),(1,9),(2,6),(3,9),(4,7),(5,3),(6,4),(7,5),(7,8)],10)
[9,10,1,2,3,4,8,5,6,7]=>([(0,8),(1,4),(5,9),(6,7),(7,2),(8,5),(9,3),(9,6)],10)
[10,1,5,2,3,4,6,7,8,9]=>([(1,4),(1,7),(3,9),(4,9),(5,2),(6,3),(7,6),(8,5),(9,8)],10)
[10,1,2,5,3,4,6,7,8,9]=>([(1,8),(3,9),(4,9),(5,2),(6,4),(7,5),(8,3),(8,6),(9,7)],10)
[5,1,2,3,10,4,6,7,8,9]=>([(0,8),(0,9),(1,6),(3,9),(4,5),(5,2),(6,7),(7,3),(7,8),(9,4)],10)
[7,6,1,2,3,4,10,9,5,8]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,5),(3,9),(4,6),(5,4),(6,3),(6,7),(6,8)],10)
[9,7,1,2,3,4,8,5,10,6]=>([(0,9),(1,8),(2,5),(4,7),(5,4),(6,3),(6,9),(7,6),(7,8),(8,9)],10)
[5,9,1,2,3,4,6,7,10,8]=>([(0,7),(1,4),(1,9),(3,9),(4,8),(5,3),(6,2),(6,8),(7,5),(9,6)],10)
[10,8,4,9,1,2,3,5,6,7]=>([(1,8),(2,8),(2,9),(3,5),(4,6),(5,7),(7,9),(9,4)],10)
[2,10,1,5,3,4,6,7,8,9]=>([(0,8),(0,9),(1,3),(1,8),(1,9),(4,7),(5,2),(6,5),(7,6),(8,7),(9,4)],10)
[3,1,5,2,10,4,6,7,8,9]=>([(0,8),(0,9),(1,3),(1,9),(3,6),(3,8),(4,2),(5,4),(7,5),(8,7),(9,6),(9,7)],10)
[4,1,2,10,3,5,6,7,8,9]=>([(0,8),(0,9),(1,7),(3,9),(4,6),(5,4),(6,2),(7,3),(7,8),(9,5)],10)
[9,10,1,8,7,6,5,4,3,2]=>([(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8)],10)
[3,2,5,4,7,6,9,8,1,10]=>([(0,9),(1,7),(1,8),(2,7),(2,8),(3,9),(4,9),(5,3),(5,4),(6,3),(6,4),(7,5),(7,6),(8,5),(8,6)],10)
[2,4,3,6,5,8,7,10,9,1]=>([(1,2),(1,3),(2,8),(2,9),(3,8),(3,9),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[3,2,5,4,7,6,1,10,8,9]=>([(0,8),(0,9),(1,6),(1,7),(2,6),(2,7),(4,8),(4,9),(5,8),(5,9),(6,4),(6,5),(7,4),(7,5),(9,3)],10)
[3,2,5,4,9,8,6,7,1,10]=>([(0,9),(1,7),(1,8),(2,7),(2,8),(3,9),(4,9),(5,9),(6,3),(7,4),(7,5),(7,6),(8,4),(8,5),(8,6)],10)
[3,2,5,4,1,8,6,10,7,9]=>([(0,8),(0,9),(1,6),(1,7),(2,6),(2,7),(3,5),(6,8),(6,9),(7,8),(7,9),(8,3),(8,4),(9,4),(9,5)],10)
[3,2,5,4,1,10,9,6,7,8]=>([(0,7),(0,8),(0,9),(1,5),(1,6),(2,5),(2,6),(3,4),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(9,3)],10)
[3,2,7,6,4,5,9,8,1,10]=>([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,3),(8,7),(9,7)],10)
[3,2,7,6,4,5,1,10,8,9]=>([(0,8),(0,9),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,4),(9,3)],10)
[3,2,9,6,4,8,5,7,1,10]=>([(0,9),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,5),(4,9),(5,9),(6,9),(7,3),(7,4),(8,4),(8,5)],10)
[3,2,1,6,4,8,5,10,7,9]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,5),(3,6),(6,4),(7,4),(7,5),(8,6),(8,7),(9,3),(9,7)],10)
[3,2,1,6,4,10,9,5,7,8]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,7),(7,4),(8,5),(8,6),(8,7),(9,3),(9,5),(9,6)],10)
[3,2,9,8,7,4,5,6,1,10]=>([(0,9),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,4),(4,9),(5,9),(6,9),(7,9),(8,3)],10)
[3,2,1,8,7,4,5,10,6,9]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,4),(3,6),(4,5),(7,3),(8,5),(8,6),(9,5),(9,6)],10)
[3,2,1,10,7,4,9,5,6,8]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,4),(4,6),(8,5),(8,6),(9,3),(9,5)],10)
[3,2,1,10,9,8,4,5,6,7]=>([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,5),(5,4),(9,3)],10)
[5,4,2,3,7,6,9,8,1,10]=>([(0,7),(1,8),(1,9),(2,8),(2,9),(3,4),(4,8),(4,9),(5,7),(6,7),(8,5),(8,6),(9,5),(9,6)],10)
[5,4,2,3,7,6,1,10,8,9]=>([(0,8),(0,9),(1,8),(1,9),(2,6),(2,7),(3,5),(5,8),(5,9),(7,4),(8,6),(8,7),(9,6),(9,7)],10)
[5,4,2,3,9,8,6,7,1,10]=>([(0,9),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,5),(4,9),(5,6),(5,7),(5,8),(6,9),(7,9),(8,4)],10)
[5,4,2,3,1,8,6,10,7,9]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,5),(4,7),(5,8),(5,9),(8,6),(8,7),(9,4),(9,6)],10)
[5,4,2,3,1,10,9,6,7,8]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,5),(4,6),(5,7),(5,8),(5,9),(9,4)],10)
[7,4,2,6,3,5,9,8,1,10]=>([(0,7),(1,8),(1,9),(2,5),(2,6),(3,4),(3,5),(4,6),(5,8),(5,9),(6,8),(6,9),(8,7),(9,7)],10)
[7,4,2,6,3,5,1,10,8,9]=>([(0,8),(0,9),(1,8),(1,9),(2,6),(2,7),(3,5),(3,6),(5,7),(6,8),(6,9),(7,8),(7,9),(9,4)],10)
[9,4,2,6,3,8,5,7,1,10]=>([(0,9),(1,9),(2,5),(2,7),(3,4),(3,5),(4,7),(4,8),(5,6),(5,8),(6,9),(7,6),(8,9)],10)
[1,4,2,6,3,8,5,10,7,9]=>([(0,1),(0,3),(1,2),(1,7),(2,8),(2,9),(3,7),(3,8),(6,5),(7,6),(7,9),(8,4),(8,6),(9,4),(9,5)],10)
[1,4,2,6,3,10,9,5,7,8]=>([(0,2),(0,3),(2,4),(2,9),(3,8),(3,9),(4,5),(4,6),(4,8),(7,1),(8,7),(9,5),(9,6),(9,7)],10)
[9,4,2,8,7,3,5,6,1,10]=>([(0,9),(1,9),(2,6),(2,7),(2,8),(3,4),(3,6),(3,7),(4,8),(5,9),(6,9),(7,9),(8,5)],10)
[1,4,2,8,7,3,5,10,6,9]=>([(0,3),(0,4),(1,7),(2,8),(3,5),(3,6),(3,7),(4,1),(4,5),(4,6),(5,8),(5,9),(6,8),(6,9),(7,2),(7,9)],10)
[1,4,2,10,7,3,9,5,6,8]=>([(0,3),(0,4),(1,6),(2,7),(2,8),(3,2),(3,5),(3,9),(4,5),(4,8),(4,9),(8,1),(9,6),(9,7)],10)
[1,4,2,10,9,8,3,5,6,7]=>([(0,3),(0,5),(2,9),(3,6),(3,7),(3,8),(3,9),(4,1),(5,2),(5,6),(5,7),(5,8),(9,4)],10)
[7,6,5,2,3,4,9,8,1,10]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,7),(4,5),(5,6),(6,8),(6,9),(8,7),(9,7)],10)
[7,6,5,2,3,4,1,10,8,9]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,6),(6,7),(7,8),(7,9),(9,5)],10)
[9,6,5,2,3,8,4,7,1,10]=>([(0,9),(1,9),(2,7),(2,8),(3,7),(3,8),(4,5),(5,6),(5,8),(6,7),(7,9),(8,9)],10)
[1,6,5,2,3,8,4,10,7,9]=>([(0,2),(0,3),(0,5),(1,6),(1,8),(2,8),(2,9),(3,8),(3,9),(4,1),(4,9),(5,4),(8,7),(9,6),(9,7)],10)
[1,6,5,2,3,10,9,4,7,8]=>([(0,3),(0,4),(0,6),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,2),(5,7),(5,8),(6,5),(9,1)],10)
[9,8,5,2,7,3,4,6,1,10]=>([(0,9),(1,9),(2,9),(3,7),(3,8),(4,5),(4,7),(5,6),(6,8),(7,9),(8,9)],10)
[1,8,5,2,7,3,4,10,6,9]=>([(0,2),(0,3),(0,5),(1,6),(1,8),(2,8),(2,9),(3,6),(3,7),(4,1),(5,4),(5,7),(6,9),(7,8),(7,9)],10)
[1,10,5,2,7,3,9,4,6,8]=>([(0,2),(0,3),(0,5),(1,7),(3,6),(3,7),(4,1),(4,8),(5,4),(5,6),(6,8),(6,9),(7,9)],10)
[1,10,5,2,9,8,3,4,6,7]=>([(0,3),(0,4),(0,6),(2,9),(4,7),(4,8),(4,9),(5,2),(6,5),(6,7),(6,8),(9,1)],10)
[9,8,7,6,2,3,4,5,1,10]=>([(0,6),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,9),(8,7)],10)
[1,8,7,6,2,3,4,10,5,9]=>([(0,2),(0,3),(0,4),(0,7),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,6),(6,1),(6,8),(7,5)],10)
[1,10,7,6,2,3,9,4,5,8]=>([(0,2),(0,3),(0,4),(0,7),(1,9),(3,8),(3,9),(4,8),(4,9),(5,1),(6,5),(6,8),(7,6)],10)
[1,10,9,6,2,8,3,4,5,7]=>([(0,2),(0,3),(0,4),(0,7),(1,9),(4,8),(4,9),(5,6),(6,1),(7,5),(7,8)],10)
[1,10,9,8,7,2,3,4,5,6]=>([(0,2),(0,3),(0,4),(0,5),(0,9),(6,8),(7,1),(8,7),(9,6)],10)
[3,2,5,4,7,6,1,10,9,8]=>([(0,7),(0,8),(0,9),(1,5),(1,6),(2,5),(2,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,3),(5,4),(6,3),(6,4)],10)
[3,2,5,4,9,8,7,6,1,10]=>([(0,9),(1,7),(1,8),(2,7),(2,8),(3,9),(4,9),(5,9),(6,9),(7,3),(7,4),(7,5),(7,6),(8,3),(8,4),(8,5),(8,6)],10)
[3,2,5,4,1,8,7,10,9,6]=>([(0,7),(0,8),(0,9),(1,5),(1,6),(2,5),(2,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(8,3),(8,4),(9,3),(9,4)],10)
[3,2,5,4,1,10,9,8,7,6]=>([(0,3),(0,4),(1,3),(1,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[3,2,7,6,5,4,9,8,1,10]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(8,7),(9,7)],10)
[3,2,7,6,5,4,1,10,9,8]=>([(0,7),(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[3,2,9,6,5,8,7,4,1,10]=>([(0,9),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,9),(4,9),(5,9),(6,9),(7,3),(7,4),(8,3),(8,4)],10)
[3,2,1,6,5,8,7,10,9,4]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(5,3),(5,4),(6,3),(6,4),(8,5),(8,6),(9,5),(9,6)],10)
[3,2,1,6,5,10,9,8,7,4]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(8,3),(8,4),(8,5),(8,6),(9,3),(9,4),(9,5),(9,6)],10)
[3,2,1,8,7,6,5,10,9,4]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[3,2,1,10,7,6,9,8,5,4]=>([(0,5),(0,6),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(8,3),(8,4),(9,3),(9,4)],10)
[5,4,3,2,7,6,9,8,1,10]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,7),(5,7),(6,7),(8,5),(8,6),(9,5),(9,6)],10)
[5,4,3,2,7,6,1,10,9,8]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,5),(4,6),(4,7),(8,5),(8,6),(8,7),(9,5),(9,6),(9,7)],10)
[5,4,3,2,9,8,7,6,1,10]=>([(0,9),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,9),(6,9),(7,9),(8,9)],10)
[5,4,3,2,1,8,7,10,9,6]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(8,5),(8,6),(9,5),(9,6)],10)
[7,4,3,6,5,2,9,8,1,10]=>([(0,8),(0,9),(1,8),(1,9),(2,7),(3,5),(3,6),(4,5),(4,6),(5,8),(5,9),(6,8),(6,9),(8,7),(9,7)],10)
[7,4,3,6,5,2,1,10,9,8]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,5),(3,6),(4,5),(4,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[9,4,3,6,5,8,7,2,1,10]=>([(0,9),(1,9),(2,9),(3,5),(3,6),(4,5),(4,6),(5,7),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[1,4,3,6,5,8,7,10,9,2]=>([(0,1),(0,2),(0,3),(2,8),(2,9),(3,8),(3,9),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[1,4,3,6,5,10,9,8,7,2]=>([(0,1),(0,2),(0,3),(2,8),(2,9),(3,8),(3,9),(8,4),(8,5),(8,6),(8,7),(9,4),(9,5),(9,6),(9,7)],10)
[9,4,3,8,7,6,5,2,1,10]=>([(0,9),(1,9),(2,9),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,9),(6,9),(7,9),(8,9)],10)
[1,4,3,8,7,6,5,10,9,2]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[1,4,3,10,7,6,9,8,5,2]=>([(0,1),(0,2),(0,3),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(8,4),(8,5),(9,4),(9,5)],10)
[1,4,3,10,9,8,7,6,5,2]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9)],10)
[7,6,5,4,3,2,9,8,1,10]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,7),(8,7),(9,7)],10)
[9,6,5,4,3,8,7,2,1,10]=>([(0,9),(1,9),(2,9),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[1,6,5,4,3,8,7,10,9,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(8,6),(8,7),(9,6),(9,7)],10)
[1,6,5,4,3,10,9,8,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[9,8,5,4,7,6,3,2,1,10]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,7),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[1,8,5,4,7,6,3,10,9,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,8),(2,9),(3,8),(3,9),(4,6),(4,7),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9)],10)
[1,10,5,4,7,6,9,8,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(4,7),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9)],10)
[1,10,5,4,9,8,7,6,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[1,10,7,6,5,4,9,8,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[1,10,9,6,5,8,7,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(6,8),(6,9),(7,8),(7,9)],10)
[6,5,7,4,8,3,9,2,10,1]=>([(1,6),(2,6),(3,8),(4,9),(5,7),(6,9),(8,7),(9,8)],10)
[6,5,7,4,8,3,10,2,9,1]=>([(1,6),(2,6),(3,9),(4,8),(5,7),(5,9),(6,8),(8,7),(8,9)],10)
[5,6,4,7,3,8,2,9,1,10]=>([(0,6),(1,9),(2,7),(3,8),(4,5),(5,9),(6,8),(8,7),(9,6)],10)
[9,8,7,6,1,2,3,4,5,10]=>([(0,5),(1,9),(2,9),(3,9),(4,9),(5,8),(6,9),(7,6),(8,7)],10)
[8,10,1,2,3,4,5,9,6,7]=>([(0,8),(1,3),(1,9),(4,7),(5,4),(6,2),(7,6),(7,9),(8,5)],10)
[10,8,1,9,2,3,4,5,6,7]=>([(1,9),(2,8),(2,9),(4,5),(5,7),(6,4),(7,3),(8,6)],10)
[8,7,1,2,3,4,5,9,10,6]=>([(0,9),(1,9),(2,7),(5,6),(6,8),(7,5),(8,3),(8,9),(9,4)],10)
[2,10,1,5,6,7,8,9,3,4]=>([(0,8),(0,9),(1,4),(1,8),(1,9),(5,6),(6,3),(7,5),(8,7),(9,2)],10)
[10,9,2,3,4,5,6,7,8,1]=>([(3,9),(5,6),(6,8),(7,5),(8,4),(9,7)],10)
[2,4,3,1,6,5,8,7,10,9]=>([(0,8),(0,9),(1,2),(1,3),(2,8),(2,9),(3,8),(3,9),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[7,8,4,9,5,2,10,6,3,1]=>([(1,5),(2,6),(2,8),(3,4),(3,7),(3,9),(5,8),(6,7),(6,9),(8,9)],10)
[2,1,4,3,6,5,8,10,9,7]=>([(0,8),(0,9),(1,8),(1,9),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[2,1,4,3,6,8,7,5,10,9]=>([(0,6),(0,7),(1,6),(1,7),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],10)
[2,1,4,3,8,10,7,9,5,6]=>([(0,8),(0,9),(1,8),(1,9),(5,3),(6,4),(7,2),(7,4),(8,5),(8,6),(8,7),(9,5),(9,6),(9,7)],10)
[2,1,4,3,6,7,10,8,9,5]=>([(0,8),(0,9),(1,8),(1,9),(4,3),(5,2),(5,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[2,1,4,6,5,3,8,7,10,9]=>([(0,6),(0,7),(1,6),(1,7),(2,8),(2,9),(3,8),(3,9),(6,8),(6,9),(7,2),(7,3),(8,4),(8,5),(9,4),(9,5)],10)
[2,1,4,6,5,3,8,10,9,7]=>([(0,6),(0,7),(1,6),(1,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,4),(7,5),(9,2),(9,3)],10)
[2,1,6,8,5,7,3,4,10,9]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,3),(6,4),(7,2),(7,4)],10)
[2,1,8,7,5,10,4,9,3,6]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,8),(3,7),(3,9),(4,7),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[2,1,6,7,5,10,8,4,9,3]=>([(0,5),(0,6),(0,8),(0,9),(1,5),(1,6),(1,8),(1,9),(2,4),(2,7),(6,2),(7,3),(8,3),(9,4),(9,7)],10)
[2,1,4,5,8,6,7,3,10,9]=>([(0,6),(0,7),(1,6),(1,7),(2,8),(2,9),(3,8),(3,9),(4,3),(5,2),(5,4),(6,5),(7,8),(7,9)],10)
[2,1,8,5,10,6,7,9,3,4]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(3,4),(4,6),(7,2),(8,3),(8,5),(9,5),(9,6)],10)
[2,1,4,7,10,6,9,8,3,5]=>([(0,8),(0,9),(1,8),(1,9),(3,6),(3,7),(4,2),(4,6),(4,7),(8,5),(9,3),(9,4),(9,5)],10)
[2,1,4,5,6,10,7,8,9,3]=>([(0,8),(0,9),(1,8),(1,9),(4,7),(5,6),(6,2),(7,3),(7,5),(9,4)],10)
[2,4,3,1,6,5,8,10,9,7]=>([(0,8),(0,9),(1,4),(1,5),(4,8),(4,9),(5,8),(5,9),(7,2),(7,3),(8,6),(8,7),(9,6),(9,7)],10)
[2,4,3,1,6,8,7,5,10,9]=>([(0,8),(0,9),(1,2),(1,3),(2,8),(2,9),(3,8),(3,9),(4,6),(4,7),(5,6),(5,7),(8,6),(8,7),(9,4),(9,5)],10)
[2,4,3,1,8,10,7,9,5,6]=>([(0,7),(0,8),(0,9),(1,3),(1,4),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(7,6),(8,5),(9,2),(9,6)],10)
[2,4,3,1,6,7,10,8,9,5]=>([(0,8),(0,9),(1,4),(1,5),(4,8),(4,9),(5,8),(5,9),(6,3),(7,2),(7,6),(9,7)],10)
[4,6,3,5,1,2,8,7,10,9]=>([(0,5),(1,3),(2,4),(2,5),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(8,6),(8,7),(9,6),(9,7)],10)
[4,6,3,5,1,2,8,10,9,7]=>([(0,7),(1,5),(2,6),(2,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(9,3),(9,4)],10)
[6,5,3,8,2,7,1,4,10,9]=>([(0,6),(1,5),(1,9),(2,5),(2,9),(3,6),(3,9),(4,5),(4,6),(4,9),(5,7),(5,8),(6,7),(6,8),(9,7),(9,8)],10)
[8,5,3,7,2,10,4,9,1,6]=>([(0,7),(1,8),(1,9),(2,6),(2,7),(3,5),(3,8),(4,5),(4,6),(5,7),(5,9),(6,8),(6,9)],10)
[6,5,3,7,2,10,8,4,9,1]=>([(1,9),(2,9),(3,5),(3,9),(4,5),(4,6),(4,7),(5,8),(7,8),(9,6),(9,7)],10)
[4,5,3,8,6,2,7,1,10,9]=>([(0,5),(1,8),(1,9),(2,6),(2,7),(3,4),(4,6),(4,7),(5,8),(5,9),(6,5),(7,8),(7,9)],10)
[8,6,3,5,10,2,7,9,1,4]=>([(0,7),(1,7),(1,9),(2,8),(2,9),(3,6),(3,8),(4,5),(4,7),(5,8),(5,9),(9,6)],10)
[4,7,3,6,10,1,9,8,2,5]=>([(0,5),(0,7),(1,3),(1,8),(1,9),(2,4),(2,5),(2,7),(3,7),(4,6),(4,8),(4,9),(5,6),(5,8),(5,9)],10)
[4,5,3,6,10,7,1,8,9,2]=>([(0,9),(1,7),(2,6),(2,8),(4,8),(7,9),(8,5),(9,3),(9,4)],10)
[2,3,6,4,5,1,8,7,10,9]=>([(0,8),(0,9),(1,5),(2,8),(2,9),(3,8),(3,9),(4,3),(5,2),(5,4),(8,6),(8,7),(9,6),(9,7)],10)
[2,3,6,4,5,1,8,10,9,7]=>([(0,8),(0,9),(1,7),(4,8),(4,9),(5,8),(5,9),(6,5),(7,4),(7,6),(9,2),(9,3)],10)
[6,3,8,4,5,7,1,2,10,9]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(3,5),(4,8),(4,9),(5,7),(6,8),(6,9),(7,8),(7,9)],10)
[8,3,7,4,5,10,2,9,1,6]=>([(0,8),(0,9),(1,7),(2,7),(2,9),(3,4),(3,5),(4,6),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[6,3,7,4,5,10,8,2,9,1]=>([(1,6),(2,7),(3,4),(3,6),(4,5),(5,8),(5,9),(6,8),(6,9),(9,7)],10)
[2,5,8,4,7,6,1,3,10,9]=>([(0,7),(1,3),(1,4),(1,7),(2,8),(2,9),(3,5),(3,6),(4,2),(4,5),(4,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[8,5,10,4,7,6,2,9,1,3]=>([(0,5),(1,5),(1,9),(2,6),(2,9),(3,7),(3,8),(4,6),(4,7),(4,8),(7,9),(8,9)],10)
[2,7,10,4,8,6,9,5,1,3]=>([(0,9),(1,5),(1,6),(1,9),(3,8),(5,4),(5,7),(6,2),(6,3),(6,7),(7,8)],10)
[2,5,6,4,10,8,7,3,9,1]=>([(1,2),(1,4),(1,5),(2,9),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,3),(7,9),(8,9)],10)
[2,3,4,8,5,6,7,1,10,9]=>([(0,8),(0,9),(1,6),(2,8),(2,9),(3,8),(3,9),(4,5),(5,2),(6,7),(7,3),(7,4)],10)
[8,3,4,10,5,6,7,9,1,2]=>([(0,8),(0,9),(1,7),(2,4),(3,9),(5,6),(6,3),(7,5),(7,8)],10)
[2,7,4,10,5,6,9,8,1,3]=>([(0,9),(1,3),(1,5),(1,9),(2,6),(2,7),(3,6),(3,7),(3,8),(4,2),(5,4),(5,8)],10)
[2,3,6,10,5,9,7,8,1,4]=>([(0,8),(1,6),(4,7),(4,9),(5,3),(5,7),(5,9),(6,4),(6,5),(6,8),(9,2)],10)
[2,3,4,5,10,6,7,8,9,1]=>([(1,8),(4,7),(5,9),(6,4),(7,2),(8,5),(9,3),(9,6)],10)
[2,3,4,5,6,1,8,9,10,7]=>([(0,8),(0,9),(1,7),(3,8),(3,9),(4,5),(5,3),(6,2),(7,4),(9,6)],10)
[2,3,4,5,6,8,9,1,10,7]=>([(0,8),(0,9),(1,6),(2,9),(3,4),(4,7),(5,2),(6,3),(7,5),(7,8)],10)
[4,5,6,1,7,8,9,10,2,3]=>([(0,7),(1,8),(1,9),(4,9),(5,2),(6,5),(7,4),(8,3),(9,6)],10)
[3,5,6,1,7,8,9,10,2,4]=>([(0,7),(0,9),(1,4),(1,8),(3,8),(4,9),(5,2),(6,5),(7,3),(8,6)],10)
[3,4,6,1,7,8,9,10,2,5]=>([(0,7),(1,4),(1,9),(2,9),(4,8),(5,6),(6,3),(7,2),(7,8),(9,5)],10)
[3,4,5,1,7,8,9,10,2,6]=>([(0,7),(1,4),(1,9),(3,8),(3,9),(4,8),(5,6),(6,2),(7,3),(9,5)],10)
[2,1,4,3,6,5,8,9,10,7]=>([(0,8),(0,9),(1,8),(1,9),(2,3),(5,2),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[2,1,4,3,6,7,8,5,10,9]=>([(0,8),(0,9),(1,8),(1,9),(2,3),(3,4),(3,5),(6,2),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[2,1,4,3,8,7,9,10,5,6]=>([(0,8),(0,9),(1,8),(1,9),(4,2),(5,3),(6,5),(7,5),(8,4),(8,6),(8,7),(9,4),(9,6),(9,7)],10)
[2,1,4,3,6,7,8,9,10,5]=>([(0,7),(0,8),(1,7),(1,8),(3,5),(4,3),(5,2),(7,6),(7,9),(8,6),(8,9),(9,4)],10)
[2,1,4,5,6,3,8,7,10,9]=>([(0,6),(0,9),(1,6),(1,9),(2,3),(3,7),(3,8),(6,2),(7,4),(7,5),(8,4),(8,5),(9,7),(9,8)],10)
[2,1,4,5,6,3,8,9,10,7]=>([(0,8),(0,9),(1,8),(1,9),(3,6),(3,7),(4,3),(5,2),(7,5),(8,4),(9,6),(9,7)],10)
[2,1,6,5,7,8,3,4,10,9]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,5),(2,6),(3,5),(3,6),(4,2),(7,3),(8,4),(9,4)],10)
[2,1,8,5,9,7,3,10,6,4]=>([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(3,9),(5,9),(6,5),(7,2),(7,4),(7,9),(8,3),(8,4),(8,5)],10)
[2,1,6,5,7,8,9,10,3,4]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(4,5),(5,3),(6,4),(7,6),(8,6),(9,2)],10)
[2,1,4,5,6,7,8,3,10,9]=>([(0,8),(0,9),(1,8),(1,9),(2,6),(2,7),(3,5),(4,3),(5,2),(8,6),(8,7),(9,4)],10)
[2,1,8,5,6,7,9,10,3,4]=>([(0,6),(0,7),(0,9),(1,6),(1,7),(1,9),(4,8),(5,4),(6,8),(7,5),(8,3),(9,2)],10)
[2,1,4,7,6,8,9,3,10,5]=>([(0,8),(0,9),(1,8),(1,9),(2,6),(3,7),(4,7),(7,2),(8,3),(8,4),(8,5),(9,5),(9,6)],10)
[2,1,4,5,6,7,8,9,10,3]=>([(0,8),(0,9),(1,8),(1,9),(3,5),(4,3),(5,7),(6,4),(7,2),(9,6)],10)
[2,3,4,1,6,5,8,7,10,9]=>([(0,2),(1,8),(1,9),(2,3),(3,8),(3,9),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[2,3,4,1,6,5,8,9,10,7]=>([(0,8),(0,9),(1,4),(3,8),(3,9),(4,3),(5,2),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[2,3,4,1,6,7,8,5,10,9]=>([(0,8),(0,9),(1,5),(2,8),(2,9),(3,6),(3,7),(4,3),(5,2),(8,4),(9,6),(9,7)],10)
[2,3,4,1,8,7,9,10,5,6]=>([(0,6),(0,7),(0,9),(1,5),(4,6),(4,7),(4,9),(5,4),(6,8),(7,8),(8,3),(9,2)],10)
[2,3,4,1,6,7,8,9,10,5]=>([(0,8),(0,9),(1,7),(3,8),(3,9),(4,6),(5,4),(6,2),(7,3),(9,5)],10)
[4,3,5,6,1,2,8,7,10,9]=>([(0,4),(1,7),(2,7),(3,8),(3,9),(4,8),(4,9),(7,3),(8,5),(8,6),(9,5),(9,6)],10)
[4,3,5,6,1,2,8,9,10,7]=>([(0,9),(1,9),(2,5),(4,7),(4,8),(5,7),(5,8),(6,3),(8,6),(9,4)],10)
[6,3,7,5,1,8,4,2,10,9]=>([(0,5),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(3,7),(4,8),(4,9),(5,7),(6,8),(6,9),(7,8),(7,9)],10)
[8,3,9,5,1,7,4,10,6,2]=>([(0,7),(1,4),(1,7),(1,8),(2,3),(2,6),(2,8),(4,5),(4,6),(6,9),(7,9),(8,5),(8,9)],10)
[6,3,7,5,1,8,9,10,4,2]=>([(0,7),(1,4),(1,8),(1,9),(2,5),(2,7),(2,8),(5,9),(6,3),(7,9),(9,6)],10)
[4,3,5,6,7,8,1,2,10,9]=>([(0,9),(1,9),(2,4),(3,7),(3,8),(4,7),(4,8),(5,6),(6,3),(9,5)],10)
[8,3,9,5,6,7,1,10,4,2]=>([(0,7),(1,4),(1,8),(1,9),(2,6),(2,7),(2,8),(3,9),(5,3),(6,5),(7,9)],10)
[4,3,7,8,6,10,9,2,5,1]=>([(1,9),(2,5),(2,6),(2,9),(3,5),(3,6),(3,9),(4,7),(4,8),(5,7),(5,8),(6,4)],10)
[4,3,5,6,7,8,9,10,1,2]=>([(0,9),(1,9),(2,4),(5,7),(6,5),(7,3),(8,6),(9,8)],10)
[2,3,4,5,6,1,8,7,10,9]=>([(0,8),(0,9),(1,5),(2,8),(2,9),(3,4),(4,2),(5,3),(8,6),(8,7),(9,6),(9,7)],10)
[6,3,4,5,7,8,1,2,10,9]=>([(0,9),(1,5),(2,6),(3,9),(4,7),(4,8),(5,7),(5,8),(6,3),(9,4)],10)
[8,3,4,5,9,7,1,10,6,2]=>([(0,7),(1,6),(2,4),(2,8),(2,9),(3,9),(5,3),(5,7),(5,8),(6,5),(7,9)],10)
[6,3,4,5,7,8,9,10,1,2]=>([(0,9),(1,8),(2,5),(4,9),(6,3),(7,6),(8,4),(9,7)],10)
[2,5,4,6,7,1,8,3,10,9]=>([(0,3),(0,4),(0,9),(1,8),(1,9),(2,8),(3,7),(4,7),(7,2),(8,5),(8,6),(9,5),(9,6)],10)
[8,5,4,6,7,1,9,10,3,2]=>([(0,9),(1,8),(2,8),(3,4),(3,5),(3,9),(7,9),(8,7),(9,6)],10)
[2,7,4,8,6,1,9,5,10,3]=>([(0,3),(0,4),(0,7),(1,7),(1,8),(1,9),(2,9),(3,5),(4,2),(4,5),(4,8),(5,9),(8,6),(9,6)],10)
[2,5,4,6,7,8,9,1,10,3]=>([(0,8),(0,9),(1,2),(1,3),(1,9),(2,7),(3,7),(4,8),(5,6),(6,4),(7,5)],10)
[2,3,4,5,6,7,8,1,10,9]=>([(0,8),(0,9),(1,7),(2,8),(2,9),(3,4),(4,6),(5,3),(6,2),(7,5)],10)
[8,3,4,5,6,7,9,10,1,2]=>([(0,9),(1,8),(2,5),(3,9),(6,7),(7,3),(8,6),(9,4)],10)
[2,7,4,5,6,8,9,1,10,3]=>([(0,7),(0,8),(1,3),(1,6),(1,8),(2,9),(3,9),(4,7),(5,2),(6,5),(9,4)],10)
[2,3,6,5,7,8,1,9,10,4]=>([(0,7),(0,9),(1,6),(3,8),(4,8),(5,9),(6,3),(6,4),(6,7),(8,5),(9,2)],10)
[4,5,2,3,6,7,8,9,10,1]=>([(1,5),(2,4),(4,9),(5,9),(6,7),(7,3),(8,6),(9,8)],10)
[4,3,2,5,6,7,8,9,10,1]=>([(1,9),(2,9),(3,9),(5,7),(6,5),(7,4),(8,6),(9,8)],10)
[5,6,7,2,3,4,8,9,10,1]=>([(1,8),(2,7),(4,9),(5,9),(6,3),(7,4),(8,5),(9,6)],10)
[5,3,6,2,4,7,8,9,10,1]=>([(1,8),(2,7),(3,7),(3,8),(4,6),(6,5),(7,9),(8,9),(9,4)],10)
[5,4,3,2,6,7,8,9,10,1]=>([(1,9),(2,9),(3,9),(4,9),(5,8),(7,6),(8,7),(9,5)],10)
[6,7,8,9,2,3,4,5,10,1]=>([(1,8),(2,7),(3,9),(4,9),(5,3),(6,4),(7,5),(8,6)],10)
[6,3,7,8,2,4,5,9,10,1]=>([(1,8),(2,7),(3,7),(3,8),(5,9),(6,9),(7,5),(8,6),(9,4)],10)
[6,7,4,5,2,3,8,9,10,1]=>([(1,7),(2,6),(3,5),(5,9),(6,9),(7,9),(8,4),(9,8)],10)
[6,4,3,7,2,5,8,9,10,1]=>([(1,9),(2,8),(3,8),(3,9),(4,8),(4,9),(5,6),(7,5),(8,7),(9,7)],10)
[6,5,4,3,2,7,8,9,10,1]=>([(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(8,7),(9,6)],10)
[7,8,9,10,1,3,4,5,6,2]=>([(0,9),(1,4),(1,8),(5,6),(6,2),(7,3),(8,5),(9,7)],10)
[7,3,8,9,10,2,4,5,6,1]=>([(1,9),(2,8),(3,8),(3,9),(4,6),(5,7),(8,4),(9,5)],10)
[7,4,3,8,9,2,5,6,10,1]=>([(1,9),(2,8),(3,8),(3,9),(4,8),(4,9),(5,7),(6,7),(8,5),(9,6)],10)
[7,5,8,3,6,2,4,9,10,1]=>([(1,7),(2,6),(3,6),(3,8),(4,7),(4,8),(6,9),(7,9),(8,9),(9,5)],10)
[7,5,4,3,8,2,6,9,10,1]=>([(1,9),(2,8),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(7,6),(8,7),(9,7)],10)
[7,6,5,4,3,2,8,9,10,1]=>([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,7)],10)
[8,5,9,3,6,10,2,4,7,1]=>([(1,6),(2,5),(3,5),(3,7),(4,6),(4,7),(5,8),(6,9),(7,8),(7,9)],10)
[8,5,4,3,9,10,2,6,7,1]=>([(1,9),(2,8),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(8,6),(9,7)],10)
[8,9,6,7,4,5,2,3,10,1]=>([(1,8),(2,7),(3,6),(4,5),(5,9),(6,9),(7,9),(8,9)],10)
[8,6,4,9,3,7,2,5,10,1]=>([(1,7),(2,6),(3,6),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
[8,6,5,4,3,9,2,7,10,1]=>([(1,9),(2,8),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(8,7),(9,7)],10)
[8,7,6,5,4,3,2,9,10,1]=>([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(9,8)],10)
[9,7,5,4,10,3,8,2,6,1]=>([(1,8),(2,7),(3,7),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[9,7,6,5,4,3,10,2,8,1]=>([(1,9),(2,8),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[10,1,9,2,8,3,7,4,6,5]=>([(1,6),(1,9),(7,3),(7,8),(8,4),(8,5),(9,2),(9,7)],10)
[1,4,3,6,5,10,9,7,8,2]=>([(0,2),(0,3),(0,4),(3,8),(3,9),(4,8),(4,9),(7,1),(8,5),(8,6),(8,7),(9,5),(9,6),(9,7)],10)
[1,4,3,8,7,5,6,10,9,2]=>([(0,2),(0,3),(0,4),(1,8),(1,9),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,8),(5,9),(6,8),(6,9),(7,1)],10)
[1,4,3,10,7,5,9,6,8,2]=>([(0,1),(0,3),(0,4),(2,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(8,2),(8,5),(9,5),(9,6)],10)
[1,4,3,10,9,8,5,6,7,2]=>([(0,2),(0,3),(0,4),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,1),(9,5)],10)
[1,6,5,3,4,8,7,10,9,2]=>([(0,2),(0,3),(0,4),(0,5),(1,8),(1,9),(3,8),(3,9),(4,8),(4,9),(5,1),(8,6),(8,7),(9,6),(9,7)],10)
[1,6,5,3,4,10,9,7,8,2]=>([(0,3),(0,4),(0,5),(0,6),(2,7),(2,8),(2,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,2),(9,1)],10)
[1,8,5,3,7,4,6,10,9,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,8),(3,9),(4,6),(4,7),(5,1),(5,7),(6,8),(6,9),(7,8),(7,9)],10)
[1,10,5,3,7,4,9,6,8,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,8),(4,6),(4,7),(5,1),(5,7),(6,9),(7,8),(7,9)],10)
[1,10,5,3,9,8,4,6,7,2]=>([(0,3),(0,4),(0,5),(0,6),(2,9),(5,7),(5,8),(5,9),(6,2),(6,7),(6,8),(9,1)],10)
[1,8,7,6,3,4,5,10,9,2]=>([(0,2),(0,3),(0,4),(0,5),(0,7),(1,8),(1,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,1),(7,6)],10)
[1,10,7,6,3,4,9,5,8,2]=>([(0,2),(0,3),(0,4),(0,5),(0,7),(1,8),(4,8),(4,9),(5,8),(5,9),(6,1),(6,9),(7,6)],10)
[1,10,9,6,3,8,4,5,7,2]=>([(0,2),(0,3),(0,4),(0,5),(0,7),(1,9),(5,8),(5,9),(6,1),(7,6),(7,8)],10)
[1,10,9,8,7,3,4,5,6,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,9),(7,8),(8,1),(9,7)],10)
[3,1,2,6,5,8,7,10,9,4]=>([(0,2),(1,5),(1,8),(1,9),(2,5),(2,8),(2,9),(6,3),(6,4),(7,3),(7,4),(8,6),(8,7),(9,6),(9,7)],10)
[3,1,2,6,5,10,9,7,8,4]=>([(0,3),(1,6),(1,8),(1,9),(3,6),(3,8),(3,9),(7,2),(8,4),(8,5),(8,7),(9,4),(9,5),(9,7)],10)
[3,1,2,8,7,5,6,10,9,4]=>([(0,3),(1,4),(1,5),(1,6),(1,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(5,8),(5,9),(6,8),(6,9),(7,2)],10)
[3,1,2,10,7,5,9,6,8,4]=>([(0,3),(1,5),(1,6),(1,8),(1,9),(2,7),(3,5),(3,6),(3,8),(3,9),(8,2),(8,4),(9,4),(9,7)],10)
[3,1,2,10,9,8,5,6,7,4]=>([(0,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(4,5),(4,6),(4,7),(4,8),(4,9),(9,2)],10)
[3,1,5,2,4,8,7,10,9,6]=>([(0,2),(0,9),(1,8),(1,9),(2,8),(6,4),(6,5),(7,4),(7,5),(8,3),(8,6),(8,7),(9,3),(9,6),(9,7)],10)
[3,1,5,2,4,10,9,7,8,6]=>([(0,3),(0,9),(1,8),(1,9),(3,8),(7,2),(8,4),(8,5),(8,6),(8,7),(9,4),(9,5),(9,6),(9,7)],10)
[3,1,5,2,7,4,6,10,9,8]=>([(0,2),(0,7),(1,6),(1,7),(2,6),(2,9),(6,8),(7,8),(7,9),(8,3),(8,4),(8,5),(9,3),(9,4),(9,5)],10)
[3,1,5,2,9,8,4,6,7,10]=>([(0,3),(0,8),(1,7),(1,8),(2,9),(3,4),(3,5),(3,7),(4,9),(5,9),(6,2),(7,6),(8,4),(8,5),(8,6)],10)
[3,1,7,6,2,4,5,10,9,8]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(2,8),(2,9),(3,4),(4,2),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[3,1,7,6,2,4,9,5,8,10]=>([(0,3),(0,6),(0,7),(1,5),(1,6),(1,7),(2,9),(3,5),(5,2),(5,8),(6,8),(6,9),(7,8),(7,9),(8,4),(9,4)],10)
[3,1,9,6,2,8,4,5,7,10]=>([(0,3),(0,7),(0,8),(1,5),(1,7),(1,8),(2,6),(3,4),(3,5),(4,9),(5,2),(6,9),(7,9),(8,4),(8,6)],10)
[3,1,9,8,7,2,4,5,6,10]=>([(0,4),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,3),(3,9),(4,5),(5,2),(6,9),(7,9),(8,9)],10)
[5,4,1,2,3,8,7,10,9,6]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,3),(3,4),(4,7),(4,8),(4,9),(8,5),(8,6),(9,5),(9,6)],10)
[5,4,1,2,3,10,9,7,8,6]=>([(0,4),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(4,5),(5,6),(5,7),(5,8),(5,9),(9,3)],10)
[5,4,1,2,7,3,6,10,9,8]=>([(0,8),(0,9),(1,8),(1,9),(2,3),(3,4),(3,9),(4,8),(8,5),(8,6),(8,7),(9,5),(9,6),(9,7)],10)
[5,4,1,2,7,3,9,6,8,10]=>([(0,8),(0,9),(1,8),(1,9),(2,3),(3,4),(3,9),(4,5),(4,8),(5,7),(6,7),(8,6),(9,5),(9,6)],10)
[5,4,1,2,9,8,3,6,7,10]=>([(0,5),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(4,7),(5,4),(5,8),(5,9),(7,3),(8,6),(9,6)],10)
[7,4,1,6,2,3,5,10,9,8]=>([(0,7),(0,8),(0,9),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[7,4,1,6,2,3,9,5,8,10]=>([(0,8),(0,9),(1,5),(1,6),(2,3),(2,6),(3,4),(4,5),(4,8),(5,9),(6,8),(6,9),(8,7),(9,7)],10)
[9,4,1,6,2,8,3,5,7,10]=>([(0,9),(1,3),(1,8),(2,7),(2,8),(3,4),(3,6),(4,7),(5,9),(6,9),(7,5),(8,5),(8,6)],10)
[9,4,1,8,7,2,3,5,6,10]=>([(0,9),(1,6),(1,7),(1,8),(2,3),(2,6),(2,7),(3,5),(4,9),(5,8),(6,9),(7,9),(8,4)],10)
[7,6,5,1,2,3,4,10,9,8]=>([(0,4),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(5,7),(5,8),(5,9),(6,5)],10)
[7,6,5,1,2,3,9,4,8,10]=>([(0,4),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,6),(5,8),(6,5),(6,9),(8,7),(9,7)],10)
[9,6,5,1,2,8,3,4,7,10]=>([(0,8),(1,4),(2,7),(2,9),(3,7),(3,9),(4,6),(4,7),(5,9),(6,5),(7,8),(9,8)],10)
[9,8,5,1,7,2,3,4,6,10]=>([(0,9),(1,9),(2,7),(2,8),(3,4),(3,7),(4,6),(5,8),(6,5),(7,9),(8,9)],10)
[10,1,2,3,4,9,6,7,8,5]=>([(1,8),(5,9),(6,7),(7,2),(8,5),(9,3),(9,4),(9,6)],10)
[10,1,9,3,4,5,6,7,8,2]=>([(1,3),(1,4),(1,9),(5,6),(6,8),(7,5),(8,2),(9,7)],10)
[1,9,2,10,3,4,5,6,7,8]=>([(0,2),(0,8),(2,9),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6),(8,9)],10)
[1,4,2,3,6,5,8,7,10,9]=>([(0,1),(0,3),(1,2),(2,8),(2,9),(3,8),(3,9),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[1,3,4,2,6,5,8,7,10,9]=>([(0,1),(0,3),(1,2),(2,8),(2,9),(3,8),(3,9),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[2,1,3,4,5,6,7,10,8,9]=>([(0,9),(1,9),(4,5),(5,8),(6,2),(7,4),(8,3),(8,6),(9,7)],10)
[10,2,3,4,5,6,7,8,1,9]=>([(1,9),(2,8),(3,9),(4,5),(5,7),(6,4),(7,3),(8,6)],10)
[3,10,1,4,5,6,7,8,9,2]=>([(0,4),(0,9),(1,3),(1,9),(5,7),(6,5),(7,2),(8,6),(9,8)],10)
[8,1,10,3,4,5,6,7,2,9]=>([(0,8),(0,9),(1,3),(1,7),(1,8),(2,9),(3,9),(4,6),(5,4),(6,2),(7,5)],10)
[8,2,1,10,4,5,6,7,3,9]=>([(0,8),(0,9),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,5),(4,9),(5,4),(6,9),(7,3)],10)
[7,10,8,3,4,5,6,1,2,9]=>([(0,8),(1,6),(2,3),(2,5),(4,9),(5,9),(6,9),(7,4),(8,7)],10)
[3,9,1,2,10,5,6,7,8,4]=>([(0,4),(1,3),(1,8),(1,9),(3,7),(4,7),(4,8),(4,9),(5,2),(6,5),(9,6)],10)
[2,3,4,5,6,7,10,9,8,1]=>([(1,8),(5,7),(6,5),(7,9),(8,6),(9,2),(9,3),(9,4)],10)
[2,3,4,5,6,9,8,10,7,1]=>([(1,7),(3,9),(4,9),(5,6),(6,8),(7,5),(8,2),(8,3),(8,4)],10)
[10,5,9,4,8,3,7,2,6,1]=>([(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[1,3,5,2,4,7,6,9,8,10]=>([(0,1),(0,2),(1,9),(2,3),(2,9),(3,7),(3,8),(5,4),(6,4),(7,5),(7,6),(8,5),(8,6),(9,7),(9,8)],10)
[1,4,2,5,3,7,6,9,8,10]=>([(0,1),(0,2),(1,9),(2,3),(2,9),(3,7),(3,8),(5,4),(6,4),(7,5),(7,6),(8,5),(8,6),(9,7),(9,8)],10)
[10,3,1,5,6,7,8,9,2,4]=>([(1,8),(1,9),(2,4),(2,9),(4,8),(5,7),(6,5),(7,3),(9,6)],10)
[10,4,1,5,6,7,8,9,2,3]=>([(1,9),(2,7),(2,9),(5,6),(6,3),(7,4),(8,5),(9,8)],10)
[4,2,6,8,10,1,3,5,7,9]=>([(0,8),(1,7),(1,9),(2,8),(2,9),(4,3),(4,5),(6,5),(7,6),(8,7),(9,4),(9,6)],10)
[4,6,2,8,10,1,3,5,7,9]=>([(0,9),(1,4),(1,8),(2,7),(2,9),(4,6),(4,7),(6,5),(7,3),(7,5),(8,6),(9,8)],10)
[4,6,8,2,10,1,3,5,7,9]=>([(0,9),(1,3),(1,8),(2,6),(2,9),(3,4),(3,7),(4,5),(4,6),(7,5),(8,7),(9,8)],10)
[4,6,8,10,2,1,3,5,7,9]=>([(0,9),(1,9),(2,5),(2,8),(4,3),(4,6),(5,4),(5,7),(7,6),(8,7),(9,8)],10)
[4,6,8,2,9,1,3,5,7,10]=>([(0,9),(1,4),(1,8),(2,7),(2,9),(3,7),(4,3),(4,6),(6,5),(7,5),(8,6),(9,8)],10)
[4,6,2,7,9,1,3,5,8,10]=>([(0,9),(1,4),(1,8),(2,7),(2,9),(3,5),(4,7),(6,5),(7,3),(7,6),(8,6),(9,8)],10)
[4,2,5,7,9,1,3,6,8,10]=>([(0,9),(1,8),(2,8),(2,9),(3,4),(3,7),(4,5),(6,7),(7,5),(8,6),(9,3),(9,6)],10)
[2,3,5,7,9,1,4,6,8,10]=>([(0,9),(1,4),(2,7),(3,5),(3,6),(4,3),(4,9),(5,2),(5,8),(6,8),(8,7),(9,6)],10)
[9,7,10,8,6,5,4,3,2,1]=>([(6,9),(7,8),(7,9)],10)
[9,7,5,10,8,6,4,3,2,1]=>([(4,9),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[8,9,6,10,7,5,4,3,2,1]=>([(5,8),(6,7),(6,9),(8,9)],10)
[9,7,5,3,10,8,6,4,2,1]=>([(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[8,9,6,4,10,7,5,3,2,1]=>([(3,8),(3,9),(4,7),(5,6),(5,8),(5,9),(7,9)],10)
[8,5,9,6,10,7,4,3,2,1]=>([(4,8),(5,6),(5,8),(6,7),(6,9),(8,9)],10)
[7,8,9,5,10,6,4,3,2,1]=>([(4,7),(5,6),(5,9),(7,8),(8,9)],10)
[8,9,6,4,2,10,7,5,3,1]=>([(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(4,5),(4,7),(4,8),(4,9),(6,9)],10)
[8,5,9,6,3,10,7,4,2,1]=>([(2,7),(3,5),(3,8),(3,9),(4,6),(4,7),(6,8),(6,9),(7,9)],10)
[7,8,9,5,3,10,6,4,2,1]=>([(2,8),(2,9),(3,6),(4,5),(4,8),(4,9),(6,7),(7,9)],10)
[7,8,4,9,5,10,6,3,2,1]=>([(3,6),(4,5),(4,8),(5,7),(5,9),(6,8),(8,9)],10)
[6,7,8,9,4,10,5,3,2,1]=>([(3,6),(4,5),(4,9),(6,7),(7,8),(8,9)],10)
[8,5,9,6,3,1,10,7,4,2]=>([(0,7),(1,6),(1,8),(1,9),(2,5),(2,7),(3,4),(3,6),(3,8),(3,9),(5,8),(5,9),(7,9)],10)
[7,8,9,5,3,1,10,6,4,2]=>([(0,8),(0,9),(1,7),(1,8),(1,9),(2,5),(3,4),(3,7),(3,8),(3,9),(5,6),(6,9)],10)
[8,5,2,9,6,3,10,7,4,1]=>([(1,8),(2,6),(2,8),(3,4),(3,6),(3,8),(4,5),(4,7),(4,9),(6,7),(6,9),(8,9)],10)
[6,7,8,9,4,2,10,5,3,1]=>([(1,8),(1,9),(2,5),(3,4),(3,8),(3,9),(5,6),(6,7),(7,9)],10)
[7,3,8,4,9,5,10,6,2,1]=>([(2,7),(3,4),(3,7),(4,6),(4,8),(6,5),(6,9),(7,8),(8,9)],10)
[6,7,8,3,9,4,10,5,2,1]=>([(2,4),(3,5),(3,8),(4,7),(5,6),(5,9),(7,8),(8,9)],10)
[5,6,7,8,9,3,10,4,2,1]=>([(2,8),(3,4),(3,9),(5,9),(6,7),(7,5),(8,6)],10)
[7,8,4,1,9,5,2,10,6,3]=>([(0,6),(0,8),(1,4),(2,3),(2,6),(2,8),(3,5),(3,7),(3,9),(4,8),(6,7),(6,9),(8,9)],10)
[7,3,8,4,9,5,1,10,6,2]=>([(0,6),(1,4),(1,6),(2,3),(2,7),(2,9),(4,5),(4,8),(5,7),(5,9),(6,8),(8,9)],10)
[6,7,8,3,9,4,1,10,5,2]=>([(0,6),(1,5),(1,8),(2,4),(2,7),(2,9),(3,8),(5,7),(5,9),(6,3),(8,9)],10)
[5,6,7,8,9,3,1,10,4,2]=>([(0,8),(0,9),(1,7),(2,4),(2,8),(2,9),(3,9),(5,6),(6,3),(7,5)],10)
[6,7,2,8,3,9,4,10,5,1]=>([(1,6),(1,9),(2,4),(4,9),(5,3),(5,8),(6,5),(6,7),(7,8),(9,7)],10)
[5,6,7,8,2,9,3,10,4,1]=>([(1,6),(2,7),(2,9),(4,9),(5,4),(6,5),(7,3),(7,8),(9,8)],10)
[4,5,6,7,8,9,2,10,3,1]=>([(1,8),(2,4),(2,9),(3,9),(5,7),(6,5),(7,3),(8,6)],10)
[5,6,7,1,8,2,9,3,10,4]=>([(0,5),(1,6),(1,9),(2,9),(4,3),(4,8),(5,2),(6,4),(6,7),(7,8),(9,7)],10)
[4,5,6,7,8,1,9,2,10,3]=>([(0,7),(0,9),(1,6),(3,9),(4,5),(5,3),(6,4),(7,2),(7,8),(9,8)],10)
[2,3,4,5,6,7,10,8,9,1]=>([(1,8),(4,6),(5,4),(6,9),(7,2),(8,5),(9,3),(9,7)],10)
[2,3,4,5,6,10,7,8,9,1]=>([(1,8),(4,5),(5,9),(6,7),(7,2),(8,4),(9,3),(9,6)],10)
[2,3,4,10,5,6,7,8,9,1]=>([(1,8),(4,5),(5,7),(6,4),(7,2),(8,9),(9,3),(9,6)],10)
[2,3,10,4,5,6,7,8,9,1]=>([(1,9),(4,6),(5,4),(6,8),(7,5),(8,2),(9,3),(9,7)],10)
[2,1,4,3,6,5,9,8,10,7]=>([(0,6),(0,7),(1,6),(1,7),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,2),(8,4),(8,5),(9,2),(9,4),(9,5)],10)
[2,1,4,3,7,6,8,5,10,9]=>([(0,8),(0,9),(1,8),(1,9),(4,7),(5,7),(6,2),(6,3),(7,2),(7,3),(8,4),(8,5),(8,6),(9,4),(9,5),(9,6)],10)
[2,1,4,3,7,6,9,8,10,5]=>([(0,8),(0,9),(1,8),(1,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,2),(8,6),(8,7),(9,2),(9,6),(9,7)],10)
[2,1,4,3,8,7,9,6,10,5]=>([(0,8),(0,9),(1,8),(1,9),(4,6),(5,6),(6,2),(7,2),(8,3),(8,4),(8,5),(8,7),(9,3),(9,4),(9,5),(9,7)],10)
[2,1,5,4,6,3,8,7,10,9]=>([(0,4),(0,5),(0,9),(1,4),(1,5),(1,9),(4,6),(5,6),(6,7),(6,8),(7,2),(7,3),(8,2),(8,3),(9,7),(9,8)],10)
[2,1,5,4,6,3,9,8,10,7]=>([(0,6),(0,7),(0,9),(1,6),(1,7),(1,9),(4,2),(5,2),(6,8),(7,8),(8,3),(8,4),(8,5),(9,3),(9,4),(9,5)],10)
[2,1,5,4,7,6,8,3,10,9]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(4,6),(5,6),(6,2),(6,3),(7,4),(7,5),(8,4),(8,5),(9,2),(9,3)],10)
[2,1,5,4,7,6,9,8,10,3]=>([(0,3),(0,8),(0,9),(1,3),(1,8),(1,9),(4,2),(5,2),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[2,1,5,4,8,7,9,6,10,3]=>([(0,3),(0,8),(0,9),(1,3),(1,8),(1,9),(4,6),(5,6),(6,2),(7,2),(8,4),(8,5),(8,7),(9,4),(9,5),(9,7)],10)
[2,1,6,5,7,4,8,3,10,9]=>([(0,5),(0,6),(0,7),(0,9),(1,5),(1,6),(1,7),(1,9),(4,8),(5,4),(6,4),(7,8),(8,2),(8,3),(9,2),(9,3)],10)
[2,1,6,5,7,4,9,8,10,3]=>([(0,3),(0,6),(0,7),(0,9),(1,3),(1,6),(1,7),(1,9),(4,2),(5,2),(6,8),(7,8),(8,4),(8,5),(9,4),(9,5)],10)
[2,1,6,5,8,7,9,4,10,3]=>([(0,3),(0,7),(0,8),(0,9),(1,3),(1,7),(1,8),(1,9),(4,6),(5,6),(6,2),(7,2),(8,4),(8,5),(9,4),(9,5)],10)
[2,1,7,6,8,5,9,4,10,3]=>([(0,3),(0,6),(0,7),(0,8),(0,9),(1,3),(1,6),(1,7),(1,8),(1,9),(4,5),(5,2),(6,5),(7,4),(8,4),(9,2)],10)
[3,2,4,1,6,5,8,7,10,9]=>([(0,9),(1,9),(2,7),(2,8),(5,3),(5,4),(6,3),(6,4),(7,5),(7,6),(8,5),(8,6),(9,7),(9,8)],10)
[3,2,4,1,6,5,9,8,10,7]=>([(0,7),(1,7),(2,8),(2,9),(5,4),(6,4),(7,8),(7,9),(8,3),(8,5),(8,6),(9,3),(9,5),(9,6)],10)
[3,2,4,1,7,6,8,5,10,9]=>([(0,9),(1,9),(2,5),(2,6),(2,8),(5,7),(6,7),(7,3),(7,4),(8,3),(8,4),(9,5),(9,6),(9,8)],10)
[3,2,4,1,7,6,9,8,10,5]=>([(0,9),(1,9),(2,4),(2,7),(2,8),(5,3),(6,3),(7,5),(7,6),(8,5),(8,6),(9,4),(9,7),(9,8)],10)
[3,2,4,1,8,7,9,6,10,5]=>([(0,9),(1,9),(2,4),(2,6),(2,7),(2,8),(5,3),(6,5),(7,5),(8,3),(9,4),(9,6),(9,7),(9,8)],10)
[3,2,5,4,6,1,8,7,10,9]=>([(0,8),(0,9),(1,5),(1,6),(2,5),(2,6),(5,7),(6,7),(7,8),(7,9),(8,3),(8,4),(9,3),(9,4)],10)
[3,2,5,4,6,1,9,8,10,7]=>([(0,7),(0,8),(1,7),(1,8),(2,4),(2,5),(2,6),(5,3),(6,3),(7,9),(8,9),(9,4),(9,5),(9,6)],10)
[3,2,5,4,7,6,8,1,10,9]=>([(0,8),(0,9),(1,8),(1,9),(2,3),(2,4),(5,7),(6,7),(7,3),(7,4),(8,5),(8,6),(9,5),(9,6)],10)
[3,2,5,4,7,6,9,8,10,1]=>([(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[3,2,5,4,8,7,9,6,10,1]=>([(1,8),(1,9),(2,8),(2,9),(4,6),(5,6),(6,3),(7,3),(8,4),(8,5),(8,7),(9,4),(9,5),(9,7)],10)
[3,2,6,5,7,4,8,1,10,9]=>([(0,3),(0,4),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(5,9),(6,5),(7,5),(8,9),(9,3),(9,4)],10)
[3,2,6,5,7,4,9,8,10,1]=>([(1,6),(1,7),(1,9),(2,6),(2,7),(2,9),(4,3),(5,3),(6,8),(7,8),(8,4),(8,5),(9,4),(9,5)],10)
[3,2,6,5,8,7,9,4,10,1]=>([(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(4,6),(5,6),(6,3),(7,3),(8,4),(8,5),(9,4),(9,5)],10)
[3,2,7,6,8,5,9,4,10,1]=>([(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(4,5),(5,3),(6,5),(7,4),(8,4),(9,3)],10)
[4,3,5,2,6,1,8,7,10,9]=>([(0,9),(1,6),(2,6),(3,7),(3,8),(6,9),(7,4),(7,5),(8,4),(8,5),(9,7),(9,8)],10)
[4,3,5,2,6,1,9,8,10,7]=>([(0,8),(1,8),(2,9),(3,5),(3,6),(3,7),(6,4),(7,4),(8,9),(9,5),(9,6),(9,7)],10)
[4,3,5,2,7,6,8,1,10,9]=>([(0,9),(1,9),(2,4),(2,5),(3,6),(3,7),(6,8),(7,8),(8,4),(8,5),(9,6),(9,7)],10)
[4,3,5,2,7,6,9,8,10,1]=>([(1,9),(2,9),(3,7),(3,8),(5,4),(6,4),(7,5),(7,6),(8,5),(8,6),(9,7),(9,8)],10)
[4,3,5,2,8,7,9,6,10,1]=>([(1,9),(2,9),(3,6),(3,7),(3,8),(5,4),(6,5),(7,5),(8,4),(9,6),(9,7),(9,8)],10)
[4,3,6,5,7,2,8,1,10,9]=>([(0,9),(1,7),(1,8),(2,7),(2,8),(3,4),(3,5),(6,9),(7,6),(8,6),(9,4),(9,5)],10)
[4,3,6,5,7,2,9,8,10,1]=>([(1,5),(1,6),(2,7),(2,8),(3,7),(3,8),(5,4),(6,4),(7,9),(8,9),(9,5),(9,6)],10)
[4,3,6,5,8,7,9,2,10,1]=>([(1,4),(2,8),(2,9),(3,8),(3,9),(5,7),(6,7),(7,4),(8,5),(8,6),(9,5),(9,6)],10)
[4,3,7,6,8,5,9,2,10,1]=>([(1,4),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(5,6),(6,4),(7,6),(8,5),(9,5)],10)
[5,4,6,3,7,2,8,1,10,9]=>([(0,5),(1,5),(2,9),(3,8),(4,6),(4,7),(5,8),(8,9),(9,6),(9,7)],10)
[5,4,6,3,7,2,9,8,10,1]=>([(1,5),(2,5),(3,8),(4,6),(4,7),(5,8),(6,9),(7,9),(8,6),(8,7)],10)
[5,4,6,3,8,7,9,2,10,1]=>([(1,5),(2,5),(3,6),(4,7),(4,8),(5,7),(5,8),(7,9),(8,9),(9,6)],10)
[5,4,7,6,8,3,9,2,10,1]=>([(1,8),(2,7),(3,5),(3,6),(4,5),(4,6),(5,9),(6,9),(7,8),(9,7)],10)
[1,2,3,4,5,6,9,7,10,8]=>([(0,7),(2,9),(3,5),(4,3),(5,8),(6,1),(6,9),(7,4),(8,2),(8,6)],10)
[2,3,4,5,6,9,10,1,7,8]=>([(0,9),(1,7),(4,5),(5,8),(6,2),(7,4),(8,6),(8,9),(9,3)],10)
[1,2,3,4,5,7,6,8,9,10]=>([(0,7),(2,9),(3,9),(4,5),(5,8),(6,1),(7,4),(8,2),(8,3),(9,6)],10)
[1,2,3,5,4,6,7,8,9,10]=>([(0,7),(2,9),(3,9),(4,1),(5,4),(6,5),(7,8),(8,2),(8,3),(9,6)],10)
[1,2,3,5,4,7,6,9,8,10]=>([(0,2),(1,3),(1,4),(2,1),(3,8),(3,9),(4,8),(4,9),(6,5),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[1,8,9,10,2,3,4,5,6,7]=>([(0,8),(0,9),(3,4),(4,6),(5,3),(6,2),(7,1),(8,7),(9,5)],10)
[1,5,6,7,8,9,10,2,3,4]=>([(0,8),(0,9),(3,4),(4,6),(5,3),(6,2),(7,1),(8,7),(9,5)],10)
[3,4,2,1,5,6,7,8,9,10]=>([(0,9),(1,9),(2,4),(4,9),(5,7),(6,5),(7,3),(8,6),(9,8)],10)
[4,3,1,2,5,6,7,8,9,10]=>([(0,9),(1,9),(2,4),(4,9),(5,7),(6,5),(7,3),(8,6),(9,8)],10)
[6,5,4,3,1,2,7,8,9,10]=>([(0,9),(1,9),(2,9),(3,9),(4,5),(5,9),(6,7),(7,8),(9,6)],10)
[7,6,5,4,3,1,2,8,9,10]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,6),(6,9),(7,8),(9,7)],10)
[9,6,5,4,3,10,1,2,7,8]=>([(0,8),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,6),(6,9),(9,7)],10)
[2,3,4,5,6,7,10,9,1,8]=>([(0,9),(1,7),(4,6),(5,4),(6,8),(7,5),(8,2),(8,3),(8,9)],10)
[2,3,4,5,6,10,8,9,1,7]=>([(0,9),(1,7),(4,5),(5,8),(6,2),(7,4),(8,3),(8,6),(8,9)],10)
[2,3,4,5,6,10,8,1,9,7]=>([(0,8),(0,9),(1,6),(3,8),(4,5),(5,7),(6,4),(7,2),(7,3),(7,9)],10)
[2,3,4,5,6,10,8,1,7,9]=>([(0,9),(1,6),(3,8),(4,5),(5,7),(6,4),(7,2),(7,3),(7,9),(9,8)],10)
[2,3,4,5,6,10,1,7,8,9]=>([(0,9),(1,6),(4,5),(5,7),(6,4),(7,2),(7,9),(8,3),(9,8)],10)
[2,3,4,5,10,7,8,9,1,6]=>([(0,9),(1,7),(4,8),(5,6),(6,2),(7,4),(8,3),(8,5),(8,9)],10)
[2,3,4,5,10,7,8,1,9,6]=>([(0,8),(0,9),(1,6),(3,8),(4,7),(5,3),(6,4),(7,2),(7,5),(7,9)],10)
[2,3,4,5,10,7,8,1,6,9]=>([(0,9),(1,6),(3,8),(4,7),(5,3),(6,4),(7,2),(7,5),(7,9),(9,8)],10)
[2,3,4,5,10,7,1,9,6,8]=>([(0,8),(0,9),(1,5),(3,7),(3,8),(4,6),(5,4),(6,2),(6,3),(6,9),(9,7)],10)
[2,3,4,5,10,7,1,6,8,9]=>([(0,8),(1,6),(4,9),(5,7),(6,5),(7,3),(7,4),(7,8),(8,9),(9,2)],10)
[2,3,4,5,10,1,6,7,8,9]=>([(0,9),(1,6),(4,7),(5,2),(6,4),(7,3),(7,9),(8,5),(9,8)],10)
[2,3,4,10,6,7,8,1,9,5]=>([(0,8),(0,9),(1,6),(3,8),(4,3),(5,4),(6,7),(7,2),(7,5),(7,9)],10)
[2,3,4,10,6,7,8,1,5,9]=>([(0,9),(1,6),(3,8),(4,3),(5,4),(6,7),(7,2),(7,5),(7,9),(9,8)],10)
[2,3,4,10,6,7,1,8,9,5]=>([(0,8),(0,9),(1,6),(4,9),(5,4),(6,7),(7,3),(7,5),(7,8),(9,2)],10)
[2,3,4,10,6,7,1,9,5,8]=>([(0,8),(0,9),(1,5),(3,7),(3,8),(4,3),(5,6),(6,2),(6,4),(6,9),(9,7)],10)
[2,3,4,10,6,7,1,5,8,9]=>([(0,8),(1,6),(4,9),(5,4),(6,7),(7,3),(7,5),(7,8),(8,9),(9,2)],10)
[2,3,4,10,6,1,8,5,9,7]=>([(0,8),(0,9),(1,4),(3,6),(3,8),(4,5),(5,2),(5,3),(5,9),(8,7),(9,6),(9,7)],10)
[2,3,4,10,6,1,8,5,7,9]=>([(0,8),(0,9),(1,4),(3,6),(3,8),(4,5),(5,2),(5,3),(5,9),(6,7),(8,7),(9,6)],10)
[2,3,4,10,6,1,5,7,8,9]=>([(0,9),(1,5),(4,8),(5,7),(6,2),(7,3),(7,4),(7,9),(8,6),(9,8)],10)
[2,3,4,10,1,5,6,7,8,9]=>([(0,9),(1,6),(4,5),(5,2),(6,7),(7,3),(7,9),(8,4),(9,8)],10)
[2,3,10,5,6,1,8,9,4,7]=>([(0,8),(0,9),(1,6),(4,7),(4,9),(5,4),(6,3),(6,5),(6,8),(8,7),(9,2)],10)
[2,3,10,5,6,1,8,4,9,7]=>([(0,8),(0,9),(1,5),(3,6),(3,8),(4,3),(5,2),(5,4),(5,9),(8,7),(9,6),(9,7)],10)
[2,3,10,5,6,1,8,4,7,9]=>([(0,8),(0,9),(1,5),(3,6),(3,8),(4,3),(5,2),(5,4),(5,9),(6,7),(8,7),(9,6)],10)
[2,3,10,5,6,1,4,7,8,9]=>([(0,9),(1,7),(4,8),(5,4),(6,2),(7,3),(7,5),(7,9),(8,6),(9,8)],10)
[2,3,10,5,1,7,4,9,6,8]=>([(0,3),(1,8),(1,9),(3,2),(3,4),(3,9),(4,7),(4,8),(7,6),(8,5),(8,6),(9,5),(9,7)],10)
[2,3,10,5,1,7,4,6,8,9]=>([(0,7),(0,8),(1,5),(4,6),(4,7),(5,3),(5,4),(5,8),(6,9),(7,9),(8,6),(9,2)],10)
[2,3,10,5,1,4,6,7,8,9]=>([(0,9),(1,7),(4,8),(5,3),(6,5),(7,2),(7,4),(7,9),(8,6),(9,8)],10)
[2,10,4,1,6,3,8,5,9,7]=>([(0,2),(0,3),(0,9),(1,8),(1,9),(3,7),(3,8),(6,5),(7,4),(7,5),(8,4),(8,6),(9,6),(9,7)],10)
[2,10,4,1,6,3,8,5,7,9]=>([(0,2),(0,3),(0,9),(1,8),(1,9),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6),(9,6),(9,7)],10)
[2,10,4,1,6,3,5,7,8,9]=>([(0,8),(0,9),(1,3),(1,4),(1,9),(4,6),(4,8),(5,2),(6,7),(7,5),(8,7),(9,6)],10)
[2,10,4,1,3,5,6,7,8,9]=>([(0,9),(1,3),(1,4),(1,9),(4,8),(5,6),(6,2),(7,5),(8,7),(9,8)],10)
[8,7,6,5,4,3,2,9,1,10]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10)
[3,4,5,6,8,9,10,1,2,7]=>([(0,8),(1,3),(3,9),(4,6),(5,7),(6,2),(7,4),(7,9),(8,5)],10)
[3,5,6,7,8,9,10,1,2,4]=>([(0,3),(1,8),(1,9),(3,9),(4,5),(5,7),(6,4),(7,2),(8,6)],10)
[3,4,5,6,7,8,1,2,9,10]=>([(0,8),(1,4),(2,9),(4,9),(5,7),(6,5),(7,2),(8,6),(9,3)],10)
[8,9,10,1,5,6,7,3,4,2]=>([(0,9),(1,5),(1,7),(1,8),(6,2),(7,4),(8,6),(9,3)],10)
[8,9,10,5,6,7,1,3,4,2]=>([(0,9),(1,8),(2,6),(2,7),(7,3),(8,4),(9,5)],10)
[8,9,10,1,5,6,3,4,7,2]=>([(0,8),(1,3),(1,6),(1,7),(4,9),(5,9),(6,5),(7,4),(8,2)],10)
[8,9,10,5,6,1,3,4,7,2]=>([(0,8),(1,6),(2,4),(2,7),(5,9),(6,9),(7,5),(8,3)],10)
[8,9,10,5,6,3,4,7,1,2]=>([(0,7),(1,6),(2,5),(3,8),(6,9),(7,9),(8,4)],10)
[8,9,5,6,10,1,3,4,7,2]=>([(0,6),(1,5),(2,3),(2,7),(4,8),(5,9),(6,8),(6,9),(7,4)],10)
[8,9,5,6,10,3,4,7,1,2]=>([(0,6),(1,5),(2,7),(3,4),(5,8),(6,9),(7,8),(7,9)],10)
[8,9,10,1,5,6,7,3,2,4]=>([(0,8),(1,4),(1,5),(1,7),(4,9),(5,9),(6,3),(7,6),(8,2)],10)
[8,9,10,5,6,7,1,3,2,4]=>([(0,8),(1,7),(2,5),(2,6),(5,9),(6,9),(7,3),(8,4)],10)
[8,9,10,1,5,6,3,7,2,4]=>([(0,7),(1,4),(1,5),(1,6),(3,8),(4,9),(5,8),(5,9),(6,3),(7,2)],10)
[8,9,10,5,6,1,3,7,2,4]=>([(0,6),(1,7),(2,4),(2,5),(4,8),(5,8),(5,9),(6,9),(7,3)],10)
[8,9,10,5,6,3,7,1,2,4]=>([(0,8),(0,9),(1,6),(2,5),(3,4),(4,7),(5,8),(6,9)],10)
[8,9,5,6,10,1,3,7,2,4]=>([(0,6),(1,5),(2,3),(2,4),(3,7),(4,7),(4,8),(5,9),(6,8),(6,9)],10)
[8,9,5,6,10,3,7,1,2,4]=>([(0,7),(0,8),(1,5),(2,6),(3,4),(4,9),(5,7),(6,8),(6,9)],10)
[8,9,10,1,5,6,3,2,4,7]=>([(0,7),(1,4),(1,5),(1,6),(3,9),(4,8),(5,8),(6,3),(7,2),(8,9)],10)
[8,9,10,5,6,1,3,2,4,7]=>([(0,6),(1,7),(2,4),(2,5),(4,8),(5,8),(6,9),(7,3),(8,9)],10)
[8,9,10,5,6,3,1,2,4,7]=>([(0,8),(1,4),(2,5),(3,6),(4,9),(5,7),(6,8),(8,9)],10)
[8,9,10,5,6,3,2,4,7,1]=>([(1,8),(2,8),(3,5),(4,6),(5,9),(6,7),(8,9)],10)
[8,9,5,6,10,1,3,2,4,7]=>([(0,5),(1,6),(2,3),(2,4),(3,7),(4,7),(5,8),(6,8),(6,9),(7,9)],10)
[8,9,5,6,10,3,1,2,4,7]=>([(0,7),(1,4),(2,5),(3,6),(4,9),(5,8),(5,9),(6,7),(7,8)],10)
[8,9,5,6,10,3,2,4,7,1]=>([(1,7),(2,7),(3,5),(4,6),(5,9),(6,8),(6,9),(7,8)],10)
[8,9,10,1,5,3,6,7,2,4]=>([(0,7),(1,4),(1,5),(1,6),(4,9),(5,8),(6,8),(6,9),(7,3),(9,2)],10)
[8,9,10,5,1,3,6,7,2,4]=>([(0,9),(1,7),(2,5),(2,6),(5,8),(6,8),(6,9),(7,4),(9,3)],10)
[8,9,10,5,3,6,7,1,2,4]=>([(0,8),(1,8),(1,9),(2,4),(3,5),(4,9),(5,7),(8,6)],10)
[8,9,5,10,1,3,6,7,2,4]=>([(0,8),(0,9),(1,4),(2,5),(2,6),(4,8),(5,7),(6,7),(6,9),(9,3)],10)
[8,9,5,10,3,6,7,1,2,4]=>([(0,7),(0,9),(1,7),(1,8),(2,5),(3,6),(5,8),(6,9),(7,4)],10)
[8,9,10,1,5,3,6,2,4,7]=>([(0,6),(1,3),(1,4),(1,5),(3,8),(4,7),(5,7),(5,8),(6,2),(7,9),(8,9)],10)
[8,9,10,5,1,3,6,2,4,7]=>([(0,9),(1,6),(2,4),(2,5),(4,7),(5,7),(5,9),(6,3),(7,8),(9,8)],10)
[8,9,10,5,3,6,1,2,4,7]=>([(0,7),(1,7),(1,9),(2,4),(3,5),(4,9),(5,6),(7,8),(9,8)],10)
[8,9,10,5,3,6,2,4,7,1]=>([(1,8),(2,7),(3,7),(3,8),(4,5),(5,6),(7,9),(8,9)],10)
[8,9,5,10,1,3,6,2,4,7]=>([(0,4),(1,3),(1,5),(2,7),(2,8),(3,9),(4,7),(5,8),(5,9),(8,6),(9,6)],10)
[8,9,5,10,3,6,1,2,4,7]=>([(0,6),(0,8),(1,6),(1,9),(2,4),(3,5),(4,8),(5,9),(6,7),(9,7)],10)
[8,9,5,10,3,6,2,4,7,1]=>([(1,6),(2,7),(2,9),(3,6),(3,7),(4,5),(5,9),(6,8),(7,8)],10)
[8,9,5,3,6,10,1,2,4,7]=>([(0,6),(1,6),(1,8),(2,4),(3,5),(4,9),(5,8),(6,7),(6,9),(8,7)],10)
[8,9,5,3,6,10,2,4,7,1]=>([(1,6),(2,7),(3,6),(3,7),(4,5),(5,9),(6,8),(7,8),(7,9)],10)
[8,5,9,10,1,3,6,7,2,4]=>([(0,9),(1,8),(1,9),(2,4),(2,5),(4,7),(5,7),(5,8),(8,6),(9,3)],10)
[8,5,9,10,3,6,7,1,2,4]=>([(0,7),(1,8),(1,9),(2,7),(2,8),(3,4),(4,9),(7,5),(8,6)],10)
[8,5,9,10,1,3,6,2,4,7]=>([(0,4),(0,5),(1,7),(2,7),(2,9),(4,8),(5,8),(5,9),(7,3),(8,6),(9,6)],10)
[8,5,9,10,3,6,1,2,4,7]=>([(0,8),(1,6),(1,8),(2,6),(2,9),(3,5),(5,9),(6,7),(8,4),(9,7)],10)
[8,5,9,10,3,6,2,4,7,1]=>([(1,9),(2,7),(3,6),(3,9),(4,6),(4,7),(6,8),(7,8),(9,5)],10)
[10,1,9,5,6,7,8,2,3,4]=>([(1,4),(1,8),(1,9),(5,6),(6,2),(7,3),(8,7),(9,5)],10)
[9,1,10,8,6,7,2,3,4,5]=>([(0,9),(1,4),(1,7),(1,8),(1,9),(5,6),(6,3),(7,5),(8,2)],10)
[8,1,9,10,7,2,3,4,5,6]=>([(0,9),(1,3),(1,8),(1,9),(5,7),(6,5),(7,2),(8,6),(9,4)],10)
[10,1,8,9,2,3,4,5,6,7]=>([(1,8),(1,9),(4,5),(5,7),(6,4),(7,3),(8,6),(9,2)],10)
[3,1,10,9,6,7,8,2,4,5]=>([(0,6),(0,7),(0,8),(0,9),(1,4),(1,6),(1,7),(1,8),(4,9),(5,3),(8,5),(9,2)],10)
[3,1,9,10,8,7,2,4,5,6]=>([(0,6),(0,7),(0,8),(0,9),(1,4),(1,7),(1,8),(1,9),(4,6),(5,3),(6,5),(9,2)],10)
[3,1,8,9,10,2,4,5,6,7]=>([(0,8),(0,9),(1,4),(1,9),(4,8),(5,2),(6,3),(7,5),(8,7),(9,6)],10)
[4,2,5,1,6,3,8,7,10,9]=>([(0,5),(1,8),(1,9),(2,5),(2,9),(5,8),(6,3),(6,4),(7,3),(7,4),(8,6),(8,7),(9,6),(9,7)],10)
[4,2,6,1,7,3,8,5,10,9]=>([(0,6),(0,9),(1,6),(1,8),(2,5),(2,9),(5,7),(6,5),(7,3),(7,4),(8,3),(8,4),(9,7),(9,8)],10)
[4,2,6,1,8,3,9,5,10,7]=>([(0,8),(0,9),(1,7),(1,9),(2,6),(2,8),(5,4),(6,5),(7,3),(7,4),(8,5),(8,7),(9,3),(9,6)],10)
[4,2,6,1,8,3,9,5,7,10]=>([(0,7),(0,9),(1,6),(1,8),(2,8),(2,9),(4,3),(5,3),(6,4),(7,5),(8,4),(8,7),(9,5),(9,6)],10)
[4,2,6,1,7,3,5,9,8,10]=>([(0,6),(0,7),(1,7),(1,9),(2,6),(2,8),(4,3),(5,3),(6,9),(7,8),(8,4),(8,5),(9,4),(9,5)],10)
[4,2,5,1,3,7,6,9,8,10]=>([(0,9),(1,8),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[2,3,4,5,9,7,8,10,6,1]=>([(1,7),(3,9),(4,9),(5,8),(6,4),(7,5),(8,2),(8,3),(8,6)],10)
[2,3,4,9,6,7,8,10,1,5]=>([(0,9),(1,6),(2,8),(3,8),(4,5),(5,2),(6,7),(7,3),(7,4),(7,9)],10)
[2,3,9,5,6,7,8,10,4,1]=>([(1,8),(3,9),(4,9),(5,7),(6,4),(7,6),(8,2),(8,3),(8,5)],10)
[2,9,4,5,6,7,8,10,3,1]=>([(1,2),(1,4),(1,8),(3,9),(4,9),(5,7),(6,5),(7,3),(8,6)],10)
[9,3,4,5,6,7,8,10,1,2]=>([(0,9),(1,8),(2,4),(3,9),(5,7),(6,5),(7,3),(8,6)],10)
[2,3,4,5,6,8,10,1,9,7]=>([(0,8),(0,9),(1,5),(3,4),(4,6),(5,3),(6,7),(6,9),(7,2),(7,8)],10)
[2,3,4,5,7,8,1,10,6,9]=>([(0,8),(0,9),(1,5),(2,7),(2,9),(3,6),(4,2),(5,3),(6,4),(6,8),(8,7)],10)
[2,3,4,6,7,1,8,10,5,9]=>([(0,8),(0,9),(1,5),(2,9),(4,2),(5,6),(6,4),(6,8),(8,7),(9,3),(9,7)],10)
[2,3,5,6,1,7,8,10,9,4]=>([(0,8),(0,9),(1,6),(4,9),(5,4),(6,5),(6,8),(7,2),(7,3),(9,7)],10)
[2,4,5,1,6,7,8,10,3,9]=>([(0,8),(0,9),(1,5),(1,8),(3,9),(4,6),(5,3),(6,2),(6,7),(8,7),(9,4)],10)
[3,4,1,5,6,7,8,10,2,9]=>([(0,3),(1,4),(1,9),(3,9),(4,8),(5,6),(6,7),(7,2),(7,8),(9,5)],10)
[3,2,4,5,6,7,8,10,9,1]=>([(1,9),(2,9),(5,6),(6,8),(7,5),(8,3),(8,4),(9,7)],10)
[1,3,5,7,2,4,6,9,8,10]=>([(0,2),(0,3),(1,4),(1,9),(2,8),(3,1),(3,8),(4,6),(4,7),(6,5),(7,5),(8,9),(9,6),(9,7)],10)
[2,4,1,5,3,6,7,8,9,10]=>([(0,7),(0,8),(1,3),(1,8),(3,7),(4,6),(5,4),(6,2),(7,9),(8,9),(9,5)],10)
[5,6,2,1,3,7,4,8,9,10]=>([(0,9),(1,9),(2,5),(3,8),(5,7),(6,4),(7,8),(8,6),(9,3),(9,7)],10)
[3,2,5,1,6,4,7,8,9,10]=>([(0,6),(0,9),(1,6),(1,9),(2,8),(2,9),(3,5),(5,4),(6,8),(7,3),(8,7),(9,7)],10)
[6,7,2,1,8,3,4,9,5,10]=>([(0,7),(0,9),(1,7),(1,9),(2,4),(3,5),(3,8),(4,9),(5,6),(7,3),(8,6),(9,8)],10)
[3,6,4,1,7,2,8,5,9,10]=>([(0,5),(0,9),(1,3),(1,4),(3,9),(4,6),(4,9),(5,6),(5,7),(6,8),(7,8),(8,2),(9,7)],10)
[3,6,7,2,1,4,8,5,9,10]=>([(0,9),(1,9),(2,6),(2,9),(4,8),(5,7),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[4,2,6,1,7,5,3,8,9,10]=>([(0,5),(0,8),(1,6),(1,7),(1,8),(2,5),(2,6),(2,8),(3,4),(5,7),(6,9),(7,9),(8,9),(9,3)],10)
[4,3,2,6,1,7,5,8,9,10]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,6),(3,9),(4,5),(6,7),(7,4),(8,6),(9,7)],10)
[3,4,7,1,8,2,9,5,10,6]=>([(0,4),(0,8),(1,5),(3,8),(4,6),(4,9),(5,3),(5,9),(6,7),(8,6),(9,2),(9,7)],10)
[7,8,9,3,2,1,4,5,10,6]=>([(0,9),(1,9),(2,9),(3,4),(4,7),(5,6),(5,8),(7,8),(9,5)],10)
[4,7,2,5,1,8,3,9,6,10]=>([(0,8),(0,9),(1,3),(1,7),(2,7),(2,8),(3,9),(5,4),(6,4),(7,5),(7,9),(8,5),(8,6),(9,6)],10)
[4,3,7,8,2,1,5,9,6,10]=>([(0,9),(1,9),(2,6),(2,9),(3,6),(3,9),(4,8),(5,7),(6,5),(7,8),(9,4),(9,7)],10)
[3,5,2,7,1,8,6,4,9,10]=>([(0,6),(0,7),(0,9),(1,5),(1,7),(1,9),(2,4),(2,7),(4,6),(4,9),(5,8),(6,5),(7,8),(8,3),(9,8)],10)
[5,4,3,2,7,1,8,6,9,10]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,6),(4,9),(6,7),(7,5),(8,6),(9,7)],10)
[5,8,9,2,1,6,3,10,7,4]=>([(0,7),(0,9),(1,7),(1,9),(2,4),(2,9),(4,5),(5,8),(7,3),(7,6),(7,8),(9,6),(9,8)],10)
[5,3,8,6,4,1,9,2,10,7]=>([(0,5),(0,6),(1,3),(1,9),(2,4),(2,5),(2,6),(3,7),(3,8),(4,8),(4,9),(5,9),(6,8),(6,9),(9,7)],10)
[3,5,8,2,6,1,9,4,10,7]=>([(0,7),(0,9),(1,8),(1,9),(2,3),(2,9),(3,4),(3,7),(4,8),(7,5),(7,8),(8,6),(9,5),(9,6)],10)
[5,4,3,8,9,2,1,6,10,7]=>([(0,9),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(6,7),(8,6),(9,5),(9,7)],10)
[6,4,2,8,1,9,7,5,3,10]=>([(0,7),(0,8),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,8),(4,9),(5,9),(6,9),(7,4),(8,9)],10)
[4,3,6,2,8,1,9,7,5,10]=>([(0,4),(0,9),(1,4),(1,9),(2,5),(2,7),(2,9),(3,6),(3,7),(3,9),(4,6),(4,7),(5,8),(6,5),(7,8),(9,8)],10)
[6,5,4,3,2,8,1,9,7,10]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,6),(5,9),(6,7),(8,6),(9,7)],10)
[5,3,7,2,9,1,10,8,6,4]=>([(0,4),(0,9),(1,4),(1,7),(1,9),(2,5),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,8),(6,5)],10)
[5,4,3,7,2,9,1,10,8,6]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,6),(3,7),(3,9),(4,5),(4,7),(4,9),(5,6),(8,5),(8,7)],10)
[7,6,5,4,3,2,9,1,10,8]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,7),(6,9),(8,7)],10)
[2,1,10,3,4,5,6,7,8,9]=>([(0,8),(0,9),(1,8),(1,9),(3,5),(4,3),(5,7),(6,4),(7,2),(9,6)],10)
[3,1,2,10,4,5,6,7,8,9]=>([(0,8),(0,9),(1,3),(3,8),(3,9),(4,5),(5,7),(6,4),(7,2),(9,6)],10)
[4,1,2,3,10,5,6,7,8,9]=>([(0,8),(0,9),(1,7),(3,8),(3,9),(4,6),(5,4),(6,2),(7,3),(9,5)],10)
[5,1,2,3,4,10,6,7,8,9]=>([(0,8),(0,9),(1,7),(3,8),(3,9),(4,3),(5,6),(6,2),(7,4),(9,5)],10)
[6,1,2,3,4,5,10,7,8,9]=>([(0,8),(0,9),(1,7),(3,8),(3,9),(4,5),(5,3),(6,2),(7,4),(9,6)],10)
[7,1,2,3,4,5,6,10,8,9]=>([(0,8),(0,9),(1,7),(2,8),(2,9),(4,6),(5,4),(6,2),(7,5),(9,3)],10)
[10,8,6,4,2,9,7,5,3,1]=>([(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[10,7,4,1,8,5,2,9,6,3]=>([(1,8),(2,6),(2,8),(3,4),(3,6),(3,8),(4,5),(4,7),(4,9),(6,7),(6,9),(8,9)],10)
[9,6,3,8,5,2,10,7,4,1]=>([(1,9),(2,7),(2,8),(3,6),(3,8),(3,9),(4,5),(4,6),(4,7),(5,8),(5,9),(7,9)],10)
[9,5,1,7,3,10,6,2,8,4]=>([(0,8),(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(3,9),(4,6),(4,7),(4,8),(5,8),(5,9),(6,9)],10)
[10,6,2,7,3,8,4,9,5,1]=>([(2,7),(3,4),(3,7),(4,6),(4,8),(6,5),(6,9),(7,8),(8,9)],10)
[7,3,8,4,10,6,2,9,5,1]=>([(1,6),(2,7),(2,9),(3,4),(3,6),(4,5),(4,7),(4,8),(5,9),(6,8),(6,9)],10)
[8,4,7,3,10,6,2,9,5,1]=>([(1,8),(1,9),(2,7),(2,9),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(5,8),(5,9),(6,9)],10)
[10,5,8,3,6,1,9,4,7,2]=>([(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,9),(5,9),(6,8),(7,8),(7,9)],10)
[9,4,7,2,10,5,8,3,6,1]=>([(1,9),(2,5),(2,6),(3,4),(3,6),(3,9),(4,7),(5,8),(5,9),(6,7),(6,8)],10)
[10,5,7,2,8,3,9,4,6,1]=>([(2,5),(2,7),(3,4),(3,8),(4,6),(4,9),(5,8),(6,7),(8,9)],10)
[8,3,10,5,7,2,9,4,6,1]=>([(1,6),(1,9),(2,7),(2,9),(3,4),(3,6),(3,7),(4,5),(4,8),(5,9),(7,8)],10)
[8,3,9,4,7,2,10,5,6,1]=>([(1,8),(1,9),(2,7),(3,5),(3,7),(5,6),(5,8),(6,9),(7,9),(8,4)],10)
[9,3,5,7,1,10,4,6,8,2]=>([(0,9),(1,4),(1,6),(2,3),(2,6),(2,9),(4,5),(4,8),(5,7),(5,9),(6,8),(8,7)],10)
[10,4,6,8,2,9,3,5,7,1]=>([(2,5),(2,7),(3,4),(3,8),(4,6),(4,9),(5,8),(6,7),(8,9)],10)
[10,4,5,6,7,1,8,2,9,3]=>([(1,6),(2,7),(2,9),(4,9),(5,4),(6,5),(7,3),(7,8),(9,8)],10)
[8,2,9,3,10,4,5,6,7,1]=>([(1,9),(2,7),(2,9),(4,6),(5,4),(6,3),(7,5),(7,8),(9,8)],10)
[9,3,8,2,10,4,5,6,7,1]=>([(1,9),(2,8),(2,9),(3,4),(3,8),(4,9),(5,6),(6,7),(8,5)],10)
[5,6,9,3,7,1,10,4,8,2]=>([(0,6),(0,8),(1,4),(2,3),(2,6),(2,9),(4,5),(4,8),(5,9),(6,7),(8,7),(8,9)],10)
[5,6,10,4,8,2,9,3,7,1]=>([(1,8),(1,9),(2,5),(3,4),(3,7),(4,9),(5,6),(5,8),(5,9),(8,7)],10)
[5,6,9,3,8,2,10,4,7,1]=>([(1,6),(1,9),(2,6),(2,8),(3,4),(4,5),(4,7),(4,8),(5,9),(6,7),(8,9)],10)
[6,5,9,3,8,2,10,4,7,1]=>([(1,6),(1,7),(2,6),(2,9),(3,5),(3,7),(3,8),(4,5),(4,7),(4,8),(5,9),(6,8),(7,9)],10)
[9,2,7,6,5,4,10,3,8,1]=>([(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(3,8),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[10,3,7,6,5,4,8,1,9,2]=>([(1,3),(1,8),(2,4),(2,5),(2,6),(2,7),(4,9),(5,9),(6,9),(7,9),(9,8)],10)
[9,2,10,3,7,6,5,4,8,1]=>([(1,8),(2,7),(2,8),(3,9),(4,9),(5,9),(6,9),(7,3),(7,4),(7,5),(7,6)],10)
[7,6,5,4,9,2,10,3,8,1]=>([(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,6),(5,7),(6,9),(8,7)],10)
[6,4,7,5,10,3,9,2,8,1]=>([(1,9),(2,8),(2,9),(3,6),(4,5),(4,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[6,4,7,5,9,2,10,3,8,1]=>([(1,7),(2,4),(2,6),(3,5),(3,7),(4,9),(5,8),(5,9),(7,8),(7,9),(8,6)],10)
[7,5,6,4,9,2,10,3,8,1]=>([(1,8),(1,9),(2,8),(2,9),(3,6),(4,5),(4,7),(5,9),(6,8),(6,9),(8,7)],10)
[6,5,7,4,9,2,10,3,8,1]=>([(1,6),(2,6),(3,8),(3,9),(4,5),(4,7),(5,9),(6,8),(6,9),(8,7)],10)
[5,6,7,3,8,4,9,1,10,2]=>([(0,6),(1,4),(1,8),(2,5),(2,9),(3,9),(5,7),(6,3),(7,8),(9,7)],10)
[5,6,7,3,8,4,10,2,9,1]=>([(1,9),(2,4),(3,5),(3,7),(4,6),(5,8),(5,9),(6,7),(7,8),(7,9)],10)
[5,6,8,4,7,3,10,2,9,1]=>([(1,9),(2,8),(2,9),(3,7),(4,5),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9)],10)
[6,5,8,4,7,3,10,2,9,1]=>([(1,9),(2,8),(2,9),(3,7),(4,6),(4,7),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9)],10)
[4,2,5,6,7,8,9,10,1,3]=>([(0,9),(1,8),(2,8),(2,9),(4,5),(5,7),(6,4),(7,3),(9,6)],10)
[7,8,10,1,2,3,4,5,6,9]=>([(0,8),(1,7),(3,9),(4,5),(5,3),(6,4),(7,6),(8,2),(8,9)],10)
[4,5,6,7,8,10,1,2,3,9]=>([(0,7),(1,8),(3,9),(4,6),(5,4),(6,2),(6,9),(7,5),(8,3)],10)
[1,6,7,5,8,4,9,3,10,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(3,7),(4,8),(5,9),(6,1),(7,9),(9,8)],10)
[1,2,3,4,5,6,8,10,7,9]=>([(0,7),(2,9),(3,5),(4,3),(5,8),(6,1),(6,9),(7,4),(8,2),(8,6)],10)
[8,9,10,4,5,6,2,3,1,7]=>([(0,9),(1,6),(2,7),(3,8),(5,9),(6,9),(7,4),(8,5)],10)
[8,9,4,5,6,10,2,3,1,7]=>([(0,9),(1,4),(2,5),(3,6),(4,7),(5,9),(6,8),(7,8),(7,9)],10)
[8,9,10,4,5,2,3,6,1,7]=>([(0,8),(1,5),(2,4),(3,6),(4,9),(5,9),(6,7),(9,8)],10)
[8,9,4,5,10,2,3,6,1,7]=>([(0,7),(1,4),(2,5),(3,6),(4,8),(5,9),(6,8),(6,9),(9,7)],10)
[8,9,4,5,2,3,6,10,1,7]=>([(0,7),(1,5),(2,4),(3,6),(4,9),(5,9),(6,8),(9,7),(9,8)],10)
[8,4,5,9,10,2,3,6,1,7]=>([(0,8),(1,7),(2,4),(3,5),(4,9),(5,8),(5,9),(8,6),(9,7)],10)
[8,4,5,9,2,3,6,10,1,7]=>([(0,8),(1,6),(2,4),(3,5),(4,9),(5,8),(5,9),(8,7),(9,6),(9,7)],10)
[8,9,10,4,5,6,2,1,3,7]=>([(0,8),(1,8),(2,4),(3,5),(4,6),(5,7),(7,9),(8,9)],10)
[8,9,4,5,6,10,2,1,3,7]=>([(0,7),(1,7),(2,4),(3,5),(4,9),(5,6),(6,8),(6,9),(7,8)],10)
[8,9,10,4,5,2,6,1,3,7]=>([(0,7),(1,7),(1,9),(2,4),(3,5),(4,9),(5,6),(7,8),(9,8)],10)
[8,9,4,5,10,2,6,1,3,7]=>([(0,6),(1,6),(1,8),(2,4),(3,5),(4,9),(5,8),(5,9),(6,7),(8,7)],10)
[8,9,4,5,2,6,10,1,3,7]=>([(0,6),(1,6),(1,8),(2,4),(3,5),(4,9),(5,8),(6,7),(8,7),(8,9)],10)
[8,4,5,9,10,2,6,1,3,7]=>([(0,9),(1,6),(2,6),(2,8),(3,5),(5,8),(5,9),(6,7),(8,7),(9,4)],10)
[8,4,5,9,2,6,10,1,3,7]=>([(0,4),(1,8),(2,7),(3,7),(3,9),(4,8),(4,9),(7,6),(8,5),(9,5),(9,6)],10)
[8,9,10,4,5,2,1,3,6,7]=>([(0,8),(1,8),(2,4),(3,6),(4,9),(6,7),(8,9),(9,5)],10)
[8,9,4,5,10,2,1,3,6,7]=>([(0,7),(1,7),(2,4),(3,5),(4,9),(5,8),(5,9),(7,8),(8,6)],10)
[8,9,4,5,2,10,1,3,6,7]=>([(0,7),(1,7),(1,9),(2,5),(3,6),(5,9),(6,8),(6,9),(7,8),(8,4)],10)
[8,9,4,5,2,1,3,6,10,7]=>([(0,7),(1,7),(2,5),(3,6),(5,9),(6,8),(7,9),(9,4),(9,8)],10)
[8,4,5,9,10,2,1,3,6,7]=>([(0,7),(1,7),(2,8),(3,4),(4,8),(4,9),(7,9),(8,5),(9,6)],10)
[8,4,5,9,2,10,1,3,6,7]=>([(0,8),(1,6),(2,6),(2,7),(3,5),(5,8),(5,9),(6,9),(8,7),(9,4)],10)
[8,4,5,9,2,1,3,6,10,7]=>([(0,8),(1,6),(2,6),(3,5),(5,8),(5,9),(6,9),(8,7),(9,4),(9,7)],10)
[8,9,10,4,2,5,6,1,3,7]=>([(0,8),(1,7),(2,7),(2,8),(3,5),(4,9),(5,6),(7,9),(8,4)],10)
[8,9,4,10,2,5,6,1,3,7]=>([(0,7),(0,8),(1,6),(2,6),(2,7),(3,5),(4,9),(5,8),(6,9),(7,4)],10)
[8,9,4,2,5,6,10,1,3,7]=>([(0,7),(1,6),(2,6),(2,7),(3,4),(4,9),(5,8),(5,9),(6,8),(7,5)],10)
[8,4,9,10,2,5,6,1,3,7]=>([(0,6),(1,7),(2,6),(2,8),(3,7),(3,8),(5,9),(6,9),(7,4),(8,5)],10)
[8,4,9,2,5,6,10,1,3,7]=>([(0,9),(1,8),(2,5),(2,8),(3,5),(3,9),(4,6),(4,7),(5,4),(8,6),(9,7)],10)
[8,9,10,4,2,5,1,3,6,7]=>([(0,8),(1,7),(2,7),(2,8),(3,5),(5,6),(7,9),(8,9),(9,4)],10)
[8,9,4,10,2,5,1,3,6,7]=>([(0,6),(1,7),(1,9),(2,6),(2,7),(3,5),(5,9),(6,8),(7,8),(8,4)],10)
[8,9,4,2,5,10,1,3,6,7]=>([(0,6),(1,7),(2,6),(2,7),(3,5),(5,9),(6,8),(7,8),(7,9),(8,4)],10)
[8,9,4,2,5,1,3,6,10,7]=>([(0,7),(1,6),(2,6),(2,7),(3,5),(5,9),(6,8),(7,8),(8,4),(8,9)],10)
[8,4,9,10,2,5,1,3,6,7]=>([(0,8),(1,6),(2,7),(2,8),(3,6),(3,7),(6,9),(7,9),(8,5),(9,4)],10)
[8,4,9,2,5,1,3,6,10,7]=>([(0,9),(1,8),(2,6),(2,9),(3,6),(3,8),(6,7),(7,4),(7,5),(8,7),(9,5)],10)
[8,4,2,5,9,10,1,3,6,7]=>([(0,8),(1,6),(2,7),(3,6),(3,7),(6,9),(7,8),(7,9),(8,5),(9,4)],10)
[8,4,2,5,9,1,3,6,10,7]=>([(0,7),(1,8),(2,9),(3,8),(3,9),(6,4),(6,5),(7,5),(8,6),(9,6),(9,7)],10)
[4,8,9,10,2,5,6,1,3,7]=>([(0,8),(1,8),(1,9),(2,6),(2,9),(4,7),(5,3),(6,5),(8,7),(9,4)],10)
[4,8,9,2,5,6,10,1,3,7]=>([(0,9),(1,3),(1,8),(2,8),(2,9),(3,4),(4,7),(5,6),(5,7),(8,5),(9,6)],10)
[4,8,9,10,2,5,1,3,6,7]=>([(0,8),(1,7),(1,8),(2,6),(2,7),(5,4),(6,5),(7,9),(8,9),(9,3)],10)
[4,8,9,2,5,10,1,3,6,7]=>([(0,4),(0,9),(1,8),(2,8),(2,9),(4,5),(5,6),(7,3),(8,7),(9,6),(9,7)],10)
[4,8,9,2,5,1,3,6,10,7]=>([(0,8),(1,4),(1,9),(2,8),(2,9),(4,5),(5,6),(7,3),(7,6),(8,7),(9,7)],10)
[4,8,2,5,9,10,1,3,6,7]=>([(0,8),(1,5),(1,9),(2,8),(2,9),(5,7),(6,3),(7,4),(8,6),(9,6),(9,7)],10)
[4,8,2,5,9,1,3,6,10,7]=>([(0,8),(1,4),(1,9),(2,8),(2,9),(4,6),(6,5),(7,3),(7,5),(8,7),(9,6),(9,7)],10)
[6,5,3,1,2,4,8,7,10,9]=>([(0,7),(1,8),(1,9),(2,8),(2,9),(3,4),(4,7),(7,8),(7,9),(8,5),(8,6),(9,5),(9,6)],10)
[8,7,5,3,1,2,4,6,10,9]=>([(0,7),(1,8),(1,9),(2,8),(2,9),(3,6),(4,5),(5,7),(6,8),(6,9),(7,6)],10)
[10,9,7,5,3,1,2,4,6,8]=>([(2,8),(3,9),(4,7),(5,6),(6,9),(7,8),(9,7)],10)
[7,5,3,1,2,4,6,9,8,10]=>([(0,4),(1,8),(2,9),(3,6),(3,7),(4,8),(6,5),(7,5),(8,9),(9,6),(9,7)],10)
[5,3,1,2,4,7,6,9,8,10]=>([(0,3),(1,9),(2,7),(2,8),(3,9),(5,4),(6,4),(7,5),(7,6),(8,5),(8,6),(9,7),(9,8)],10)
[2,1,4,3,6,5,9,7,10,8]=>([(0,8),(0,9),(1,8),(1,9),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[2,1,4,3,7,5,8,6,10,9]=>([(0,8),(0,9),(1,8),(1,9),(2,3),(2,4),(5,7),(6,2),(6,7),(7,3),(7,4),(8,5),(8,6),(9,5),(9,6)],10)
[2,1,4,3,7,5,9,6,10,8]=>([(0,8),(0,9),(1,8),(1,9),(2,3),(2,4),(5,4),(6,2),(6,5),(7,3),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[2,1,4,3,8,5,9,6,10,7]=>([(0,8),(0,9),(1,8),(1,9),(3,2),(3,4),(5,6),(6,4),(7,3),(7,6),(8,5),(8,7),(9,5),(9,7)],10)
[2,1,5,3,6,4,8,7,10,9]=>([(0,5),(0,6),(1,5),(1,6),(2,8),(2,9),(5,7),(6,2),(6,7),(7,8),(7,9),(8,3),(8,4),(9,3),(9,4)],10)
[2,1,5,3,6,4,9,7,10,8]=>([(0,7),(0,8),(1,7),(1,8),(3,5),(3,6),(5,4),(6,2),(6,4),(7,9),(8,3),(8,9),(9,5),(9,6)],10)
[2,1,5,3,7,4,8,6,10,9]=>([(0,6),(0,9),(1,6),(1,9),(2,7),(2,8),(5,8),(6,2),(6,5),(7,3),(7,4),(8,3),(8,4),(9,5),(9,7)],10)
[2,1,5,3,7,4,9,6,10,8]=>([(0,6),(0,9),(1,6),(1,9),(2,5),(2,8),(5,4),(6,2),(6,7),(7,3),(7,5),(8,3),(8,4),(9,7),(9,8)],10)
[2,1,5,3,8,4,9,6,10,7]=>([(0,8),(0,9),(1,8),(1,9),(3,6),(3,7),(5,6),(6,4),(7,2),(7,4),(8,3),(8,5),(9,5),(9,7)],10)
[2,1,6,3,7,4,8,5,10,9]=>([(0,7),(0,8),(1,7),(1,8),(2,3),(2,9),(3,4),(3,5),(6,9),(7,6),(8,2),(8,6),(9,4),(9,5)],10)
[2,1,6,3,7,4,9,5,10,8]=>([(0,7),(0,8),(1,7),(1,8),(2,3),(2,6),(3,4),(3,5),(6,4),(7,9),(8,2),(8,9),(9,5),(9,6)],10)
[2,1,6,3,8,4,9,5,10,7]=>([(0,8),(0,9),(1,8),(1,9),(2,3),(2,7),(3,4),(3,5),(6,7),(7,4),(8,2),(8,6),(9,5),(9,6)],10)
[2,1,7,3,8,4,9,5,10,6]=>([(0,8),(0,9),(1,8),(1,9),(3,4),(3,7),(4,2),(4,5),(6,7),(7,5),(8,6),(9,3),(9,6)],10)
[3,1,4,2,6,5,9,7,10,8]=>([(0,9),(1,3),(1,9),(3,7),(3,8),(5,4),(6,2),(6,4),(7,5),(7,6),(8,5),(8,6),(9,7),(9,8)],10)
[3,1,4,2,7,5,8,6,10,9]=>([(0,9),(1,3),(1,9),(2,4),(2,5),(3,6),(3,7),(6,8),(7,2),(7,8),(8,4),(8,5),(9,6),(9,7)],10)
[3,1,4,2,7,5,9,6,10,8]=>([(0,9),(1,3),(1,9),(2,4),(2,5),(3,7),(3,8),(6,5),(7,2),(7,6),(8,4),(8,6),(9,7),(9,8)],10)
[3,1,4,2,8,5,9,6,10,7]=>([(0,9),(1,4),(1,9),(3,2),(3,5),(4,7),(4,8),(6,5),(7,6),(8,3),(8,6),(9,7),(9,8)],10)
[3,1,5,2,6,4,9,7,10,8]=>([(0,3),(0,7),(1,7),(1,9),(3,8),(3,9),(5,4),(6,2),(6,4),(7,8),(8,5),(8,6),(9,5),(9,6)],10)
[3,1,5,2,8,4,9,6,10,7]=>([(0,3),(0,9),(1,8),(1,9),(3,6),(3,8),(5,4),(6,5),(7,2),(7,4),(8,5),(8,7),(9,6),(9,7)],10)
[3,1,6,2,7,4,8,5,10,9]=>([(0,3),(0,8),(1,7),(1,8),(2,4),(2,5),(3,6),(3,7),(6,9),(7,2),(7,9),(8,6),(9,4),(9,5)],10)
[3,1,6,2,7,4,9,5,10,8]=>([(0,3),(0,8),(1,7),(1,8),(2,4),(2,5),(3,7),(3,9),(6,4),(7,2),(7,6),(8,9),(9,5),(9,6)],10)
[3,1,6,2,8,4,9,5,10,7]=>([(0,3),(0,9),(1,8),(1,9),(2,4),(2,5),(3,6),(3,8),(6,7),(7,4),(8,2),(8,7),(9,5),(9,6)],10)
[3,1,7,2,8,4,9,5,10,6]=>([(0,4),(0,9),(1,8),(1,9),(3,2),(3,5),(4,7),(4,8),(6,5),(7,6),(8,3),(8,6),(9,7)],10)
[4,1,5,2,6,3,9,7,10,8]=>([(0,8),(1,3),(1,8),(3,4),(3,9),(4,6),(4,7),(6,5),(7,2),(7,5),(8,9),(9,6),(9,7)],10)
[4,1,5,2,7,3,8,6,10,9]=>([(0,9),(1,2),(1,9),(2,3),(2,6),(3,7),(3,8),(6,8),(7,4),(7,5),(8,4),(8,5),(9,6),(9,7)],10)
[4,1,5,2,7,3,9,6,10,8]=>([(0,9),(1,2),(1,9),(2,3),(2,8),(3,6),(3,7),(6,5),(7,4),(7,5),(8,4),(8,6),(9,7),(9,8)],10)
[4,1,5,2,8,3,9,6,10,7]=>([(0,9),(1,3),(1,9),(3,4),(3,7),(4,6),(4,8),(6,5),(7,6),(8,2),(8,5),(9,7),(9,8)],10)
[4,1,6,2,7,3,8,5,10,9]=>([(0,2),(0,7),(1,7),(1,9),(2,3),(2,6),(3,8),(3,9),(6,8),(7,6),(8,4),(8,5),(9,4),(9,5)],10)
[4,1,6,2,7,3,9,5,10,8]=>([(0,2),(0,7),(1,7),(1,8),(2,3),(2,9),(3,6),(3,8),(6,5),(7,9),(8,4),(8,5),(9,4),(9,6)],10)
[4,1,6,2,8,3,9,5,10,7]=>([(0,2),(0,9),(1,8),(1,9),(2,3),(2,7),(3,6),(3,8),(6,5),(7,6),(8,4),(8,5),(9,4),(9,7)],10)
[4,1,7,2,8,3,9,5,10,6]=>([(0,3),(0,9),(1,8),(1,9),(3,4),(3,7),(4,6),(4,8),(6,5),(7,6),(8,2),(8,5),(9,7)],10)
[5,1,6,2,7,3,9,4,10,8]=>([(0,8),(1,3),(1,8),(2,4),(2,7),(3,2),(3,9),(4,5),(4,6),(7,6),(8,9),(9,5),(9,7)],10)
[5,1,6,2,8,3,9,4,10,7]=>([(0,9),(1,3),(1,9),(2,4),(2,8),(3,2),(3,7),(4,5),(4,6),(7,8),(8,5),(9,6),(9,7)],10)
[5,1,7,2,8,3,9,4,10,6]=>([(0,3),(0,9),(1,6),(1,9),(2,4),(2,8),(3,2),(3,7),(4,5),(4,6),(7,8),(8,5),(9,7)],10)
[9,3,4,5,6,7,1,2,10,8]=>([(0,9),(1,7),(2,4),(3,8),(3,9),(4,8),(4,9),(5,6),(6,3),(7,5)],10)
[1,7,2,8,3,9,4,10,5,6]=>([(0,2),(0,6),(2,7),(3,1),(4,3),(4,8),(5,4),(5,9),(6,5),(6,7),(7,9),(9,8)],10)
[1,7,2,8,3,9,10,4,5,6]=>([(0,3),(0,7),(3,8),(4,6),(5,4),(5,9),(6,1),(7,5),(7,8),(8,9),(9,2)],10)
[1,7,2,8,9,3,4,10,5,6]=>([(0,3),(0,7),(2,8),(3,9),(4,6),(5,1),(6,5),(6,8),(7,4),(7,9),(9,2)],10)
[1,7,2,8,9,3,10,4,5,6]=>([(0,3),(0,7),(2,8),(3,9),(4,5),(5,1),(6,4),(6,8),(7,6),(7,9),(9,2)],10)
[1,7,2,8,9,10,3,4,5,6]=>([(0,3),(0,8),(3,9),(4,6),(5,4),(6,1),(7,2),(8,5),(8,9),(9,7)],10)
[1,7,8,2,3,9,4,10,5,6]=>([(0,6),(0,7),(2,8),(3,4),(3,9),(4,1),(5,3),(5,8),(6,5),(7,2),(8,9)],10)
[1,7,8,2,3,9,10,4,5,6]=>([(0,7),(0,8),(2,9),(4,5),(5,1),(6,4),(6,9),(7,6),(8,2),(9,3)],10)
[1,7,8,2,9,3,4,10,5,6]=>([(0,6),(0,7),(2,8),(3,4),(4,5),(4,9),(5,1),(6,2),(7,3),(7,8),(8,9)],10)
[1,7,8,2,9,3,10,4,5,6]=>([(0,6),(0,7),(2,8),(3,5),(4,3),(4,9),(5,1),(6,2),(7,4),(7,8),(8,9)],10)
[1,7,8,2,9,10,3,4,5,6]=>([(0,7),(0,8),(2,9),(4,6),(5,4),(6,1),(7,2),(8,5),(8,9),(9,3)],10)
[1,7,8,9,2,3,4,10,5,6]=>([(0,7),(0,8),(2,9),(3,6),(4,2),(5,1),(6,5),(6,9),(7,3),(8,4)],10)
[1,7,8,9,2,3,10,4,5,6]=>([(0,7),(0,8),(2,9),(3,5),(4,2),(5,1),(6,3),(6,9),(7,4),(8,6)],10)
[1,7,8,9,2,10,3,4,5,6]=>([(0,7),(0,8),(2,9),(3,6),(4,3),(5,2),(6,1),(7,5),(8,4),(8,9)],10)
[7,1,2,8,3,9,4,10,5,6]=>([(0,9),(1,5),(3,4),(3,8),(4,2),(5,6),(5,9),(6,3),(6,7),(7,8),(9,7)],10)
[7,1,2,8,3,9,10,4,5,6]=>([(0,9),(1,6),(4,5),(5,2),(6,7),(6,9),(7,4),(7,8),(8,3),(9,8)],10)
[7,1,2,8,9,3,4,10,5,6]=>([(0,9),(1,6),(3,8),(4,7),(5,2),(6,4),(6,9),(7,5),(7,8),(9,3)],10)
[7,1,2,8,9,3,10,4,5,6]=>([(0,9),(1,6),(3,8),(4,5),(5,2),(6,7),(6,9),(7,4),(7,8),(9,3)],10)
[7,1,2,8,9,10,3,4,5,6]=>([(0,9),(1,7),(4,6),(5,4),(6,2),(7,5),(7,9),(8,3),(9,8)],10)
[7,1,8,2,3,9,4,10,5,6]=>([(0,9),(1,5),(1,9),(3,4),(3,8),(4,2),(5,6),(6,3),(6,7),(7,8),(9,7)],10)
[7,1,8,2,3,9,10,4,5,6]=>([(0,9),(1,6),(1,9),(4,5),(5,2),(6,7),(7,4),(7,8),(8,3),(9,8)],10)
[7,1,8,2,9,3,4,10,5,6]=>([(0,9),(1,6),(1,9),(3,4),(4,5),(4,8),(5,2),(6,3),(6,7),(7,8),(9,7)],10)
[7,1,8,2,9,10,3,4,5,6]=>([(0,9),(1,7),(1,9),(4,6),(5,4),(6,2),(7,5),(7,8),(8,3),(9,8)],10)
[7,1,8,9,2,3,4,10,5,6]=>([(0,9),(1,6),(1,9),(3,8),(4,7),(5,2),(6,4),(7,5),(7,8),(9,3)],10)
[7,1,8,9,2,3,10,4,5,6]=>([(0,9),(1,6),(1,9),(3,8),(4,5),(5,2),(6,7),(7,4),(7,8),(9,3)],10)
[7,1,8,9,2,10,3,4,5,6]=>([(0,9),(1,7),(1,9),(3,8),(4,6),(5,4),(6,2),(7,5),(7,8),(9,3)],10)
[7,1,8,9,10,2,3,4,5,6]=>([(0,9),(1,7),(1,9),(4,6),(5,4),(6,2),(7,5),(8,3),(9,8)],10)
[7,8,1,2,3,9,4,10,5,6]=>([(0,7),(1,3),(3,8),(4,5),(4,9),(5,2),(6,4),(6,8),(7,6),(8,9)],10)
[7,8,1,2,3,9,10,4,5,6]=>([(0,8),(1,4),(4,9),(5,6),(6,2),(7,5),(7,9),(8,7),(9,3)],10)
[7,8,1,2,9,3,4,10,5,6]=>([(0,7),(1,3),(3,8),(4,6),(4,9),(5,4),(6,2),(7,5),(7,8),(8,9)],10)
[7,8,1,2,9,3,10,4,5,6]=>([(0,7),(1,3),(3,8),(4,6),(5,4),(5,9),(6,2),(7,5),(7,8),(8,9)],10)
[7,8,1,2,9,10,3,4,5,6]=>([(0,8),(1,4),(4,9),(5,7),(6,5),(7,2),(8,6),(8,9),(9,3)],10)
[7,8,1,9,2,3,4,10,5,6]=>([(0,7),(0,9),(1,3),(3,9),(4,6),(5,2),(6,5),(6,8),(7,4),(9,8)],10)
[7,8,1,9,2,3,10,4,5,6]=>([(0,7),(0,9),(1,3),(3,9),(4,5),(5,2),(6,4),(6,8),(7,6),(9,8)],10)
[7,8,1,9,2,10,3,4,5,6]=>([(0,7),(0,9),(1,3),(3,9),(4,6),(5,4),(6,2),(7,5),(7,8),(9,8)],10)
[7,8,1,9,10,2,3,4,5,6]=>([(0,4),(1,8),(1,9),(4,9),(5,7),(6,5),(7,2),(8,6),(9,3)],10)
[7,8,9,1,2,3,4,10,5,6]=>([(0,7),(1,8),(3,9),(4,6),(5,2),(6,5),(6,9),(7,4),(8,3)],10)
[7,8,9,1,2,3,10,4,5,6]=>([(0,7),(1,8),(3,9),(4,5),(5,2),(6,4),(6,9),(7,6),(8,3)],10)
[7,8,9,1,2,10,3,4,5,6]=>([(0,8),(1,7),(3,9),(4,6),(5,4),(6,2),(7,3),(8,5),(8,9)],10)
[7,8,9,1,10,2,3,4,5,6]=>([(0,7),(1,8),(1,9),(3,9),(4,6),(5,4),(6,2),(7,3),(8,5)],10)
[7,2,8,9,10,1,3,4,5,6]=>([(0,8),(1,9),(2,8),(2,9),(5,4),(6,5),(7,3),(8,6),(9,7)],10)
[9,10,6,4,2,1,3,5,8,7]=>([(0,6),(1,6),(2,9),(3,7),(3,8),(4,5),(6,9),(9,7),(9,8)],10)
[10,7,8,4,2,1,3,6,5,9]=>([(1,6),(2,6),(3,7),(3,8),(4,5),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[9,7,10,4,2,1,3,6,8,5]=>([(0,6),(1,6),(2,5),(3,5),(3,8),(4,7),(4,9),(6,7),(6,9),(9,8)],10)
[8,9,10,4,2,1,3,7,6,5]=>([(0,6),(1,6),(2,7),(2,8),(2,9),(3,4),(4,5),(6,7),(6,8),(6,9)],10)
[10,8,5,6,2,1,4,3,7,9]=>([(1,8),(2,6),(2,7),(3,6),(3,7),(4,5),(5,9),(6,9),(7,9),(9,8)],10)
[9,10,5,6,2,1,4,3,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(3,5),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[10,7,5,8,2,1,4,6,3,9]=>([(1,6),(2,6),(2,8),(3,5),(3,7),(4,5),(4,7),(5,8),(6,9),(7,9),(8,9)],10)
[9,7,5,10,2,1,4,6,8,3]=>([(0,9),(1,8),(1,9),(2,7),(2,9),(3,5),(3,6),(4,5),(4,6),(6,7),(7,8)],10)
[8,9,5,10,2,1,4,7,6,3]=>([(0,4),(1,8),(1,9),(2,8),(2,9),(3,5),(3,6),(3,7),(4,7),(9,5),(9,6)],10)
[10,6,7,8,2,1,5,4,3,9]=>([(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,4),(4,5),(5,9),(6,9),(7,9),(8,9)],10)
[9,6,7,10,2,1,5,4,8,3]=>([(0,8),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,8),(4,9),(6,9),(7,9)],10)
[8,6,9,10,2,1,5,7,4,3]=>([(0,6),(1,5),(1,6),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(6,4),(9,5)],10)
[7,8,9,10,2,1,6,5,4,3]=>([(0,3),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,5),(5,4)],10)
[10,8,6,3,4,2,1,5,7,9]=>([(1,8),(2,9),(3,9),(4,7),(5,6),(6,9),(7,8),(9,7)],10)
[9,10,6,3,4,2,1,5,8,7]=>([(0,9),(1,9),(2,7),(2,8),(3,5),(4,6),(6,9),(9,7),(9,8)],10)
[10,7,8,3,4,2,1,6,5,9]=>([(1,7),(1,8),(2,7),(2,8),(3,5),(4,6),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[9,7,10,3,4,2,1,6,8,5]=>([(0,8),(0,9),(1,8),(1,9),(2,7),(3,6),(3,7),(4,5),(5,8),(5,9),(9,6)],10)
[8,9,10,3,4,2,1,7,6,5]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,4),(3,5),(4,6),(5,7),(5,8),(5,9)],10)
[10,8,5,3,6,2,4,1,7,9]=>([(1,9),(2,7),(3,6),(4,8),(5,6),(5,7),(6,9),(7,9),(9,8)],10)
[9,10,5,3,6,2,4,1,8,7]=>([(0,8),(0,9),(1,7),(2,6),(3,6),(3,7),(4,5),(6,8),(6,9),(7,8),(7,9)],10)
[10,7,5,3,8,2,4,6,1,9]=>([(1,9),(2,8),(3,7),(3,8),(4,6),(5,6),(5,8),(6,7),(7,9),(8,9)],10)
[9,7,5,3,10,2,4,6,8,1]=>([(1,6),(2,9),(3,6),(3,9),(4,7),(4,9),(5,8),(5,9),(6,8),(8,7)],10)
[8,9,5,3,10,2,4,7,6,1]=>([(1,6),(2,6),(2,9),(3,7),(3,8),(3,9),(4,5),(5,9),(6,7),(6,8)],10)
[10,6,7,3,8,2,5,4,1,9]=>([(1,9),(2,6),(2,7),(3,6),(3,7),(3,8),(4,5),(5,8),(6,9),(7,9),(8,9)],10)
[9,6,7,3,10,2,5,4,8,1]=>([(1,8),(2,6),(2,7),(3,6),(3,7),(3,8),(4,5),(5,8),(5,9),(6,9),(7,9)],10)
[8,6,9,3,10,2,5,7,4,1]=>([(1,6),(2,6),(2,9),(3,5),(3,7),(4,5),(4,7),(4,8),(6,8),(7,9)],10)
[7,8,9,3,10,2,6,5,4,1]=>([(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(2,9),(3,4),(4,5),(5,9)],10)
[10,8,4,5,6,3,2,1,7,9]=>([(1,9),(2,9),(3,9),(4,8),(5,6),(6,7),(7,9),(9,8)],10)
[9,10,4,5,6,3,2,1,8,7]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,5),(4,6),(6,7),(7,8),(7,9)],10)
[10,7,4,5,8,3,2,6,1,9]=>([(1,9),(2,9),(3,8),(4,7),(5,6),(6,7),(6,9),(7,8),(9,8)],10)
[9,7,4,5,10,3,2,6,8,1]=>([(1,9),(2,9),(3,8),(4,7),(4,8),(5,6),(6,8),(6,9),(9,7)],10)
[8,9,4,5,10,3,2,7,6,1]=>([(1,8),(1,9),(2,8),(2,9),(3,5),(4,6),(5,7),(6,7),(6,8),(6,9)],10)
[10,6,4,7,8,3,5,2,1,9]=>([(1,8),(2,9),(3,9),(4,7),(5,7),(5,8),(6,9),(7,9),(8,6)],10)
[9,6,4,7,10,3,5,2,8,1]=>([(1,8),(2,9),(3,6),(4,7),(5,6),(5,7),(6,9),(7,8),(7,9)],10)
[8,6,4,9,10,3,5,7,2,1]=>([(2,9),(3,8),(3,9),(4,7),(5,7),(5,9),(7,8),(9,6)],10)
[7,8,4,9,10,3,6,5,2,1]=>([(2,7),(2,8),(3,7),(3,8),(3,9),(4,5),(5,9),(9,6)],10)
[10,5,6,7,8,4,3,2,1,9]=>([(1,6),(2,9),(3,9),(4,9),(5,9),(6,8),(7,9),(8,7)],10)
[9,5,6,7,10,4,3,2,8,1]=>([(1,9),(2,9),(3,9),(4,8),(5,6),(6,7),(7,8),(7,9)],10)
[8,5,6,9,10,4,3,7,2,1]=>([(2,9),(3,9),(4,8),(5,6),(6,8),(6,9),(8,7)],10)
[7,5,8,9,10,4,6,3,2,1]=>([(3,9),(4,8),(5,8),(5,9),(6,7),(9,6)],10)
[2,10,4,5,6,7,9,1,3,8]=>([(0,9),(1,3),(1,6),(1,9),(4,5),(5,7),(6,4),(7,2),(7,8),(9,8)],10)
[10,3,4,5,6,7,1,9,2,8]=>([(1,7),(2,4),(2,9),(3,8),(3,9),(4,8),(5,6),(6,3),(7,5)],10)
[10,9,8,6,4,2,1,3,5,7]=>([(3,7),(4,7),(5,8),(6,9),(7,9),(9,8)],10)
[10,8,7,6,4,2,1,3,5,9]=>([(1,8),(2,9),(3,9),(4,9),(5,7),(6,7),(7,8),(8,9)],10)
[10,7,9,6,4,2,1,3,8,5]=>([(1,9),(2,8),(2,9),(3,7),(4,7),(5,6),(5,9),(7,8),(7,9)],10)
[10,9,8,7,6,4,2,1,3,5]=>([(5,9),(6,8),(7,8),(8,9)],10)
[10,8,6,5,4,2,1,3,7,9]=>([(1,9),(2,9),(3,9),(4,7),(5,7),(6,8),(7,9),(9,8)],10)
[10,9,8,6,5,4,2,1,3,7]=>([(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[10,8,5,7,4,2,1,6,3,9]=>([(1,9),(2,8),(3,7),(3,8),(4,7),(4,8),(5,6),(5,8),(6,9),(7,9),(8,9)],10)
[10,5,9,7,4,2,1,6,8,3]=>([(1,9),(2,7),(2,9),(3,7),(3,9),(4,5),(4,6),(4,9),(6,8),(9,8)],10)
[10,9,8,5,7,4,2,1,6,3]=>([(3,9),(4,8),(4,9),(5,8),(5,9),(6,7),(6,9)],10)
[10,8,7,6,5,4,2,1,3,9]=>([(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[10,7,9,6,5,4,2,1,8,3]=>([(1,9),(2,9),(3,9),(4,8),(4,9),(5,8),(5,9),(6,7),(6,9)],10)
[10,6,9,8,5,7,2,1,4,3]=>([(1,9),(2,7),(2,8),(3,7),(3,8),(4,5),(4,6),(4,9)],10)
[10,8,6,4,3,2,1,5,7,9]=>([(1,8),(2,9),(3,9),(4,9),(5,9),(6,7),(7,8),(9,7)],10)
[10,9,8,6,4,3,2,1,5,7]=>([(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10)
[10,8,7,6,4,3,2,1,5,9]=>([(1,9),(2,9),(3,9),(4,8),(5,8),(6,8),(7,8),(8,9)],10)
[10,7,9,6,4,3,2,1,8,5]=>([(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,7),(6,9)],10)
[10,8,6,3,5,2,4,1,7,9]=>([(1,9),(2,9),(3,7),(4,8),(5,6),(5,7),(6,9),(7,9),(9,8)],10)
[10,9,8,6,3,5,2,4,1,7]=>([(3,9),(4,9),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[10,8,3,7,5,2,4,6,1,9]=>([(1,9),(2,9),(3,7),(4,5),(4,6),(4,7),(5,8),(6,9),(7,8),(8,9)],10)
[10,3,9,7,5,2,4,6,8,1]=>([(2,7),(3,4),(3,5),(3,6),(3,7),(5,9),(6,8),(7,8),(8,9)],10)
[10,9,8,3,7,5,2,4,6,1]=>([(4,8),(5,6),(5,7),(5,8),(7,9),(8,9)],10)
[10,8,7,6,3,5,2,4,1,9]=>([(1,9),(2,9),(3,9),(4,9),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[10,7,9,6,3,5,2,4,8,1]=>([(2,9),(3,8),(4,6),(4,9),(5,7),(5,8),(7,9),(8,9)],10)
[10,9,3,8,6,5,2,7,4,1]=>([(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(6,9),(7,9)],10)
[10,9,8,7,6,3,5,2,4,1]=>([(6,9),(7,8),(7,9)],10)
[10,8,6,5,4,3,2,1,7,9]=>([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10)
[10,8,5,7,4,3,2,6,1,9]=>([(1,9),(2,9),(3,8),(4,8),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[10,5,9,7,4,3,2,6,8,1]=>([(2,9),(3,9),(4,9),(5,6),(5,7),(5,9),(7,8),(9,8)],10)
[10,9,8,5,7,4,3,2,6,1]=>([(4,9),(5,9),(6,9),(7,8),(7,9)],10)
[10,8,4,7,6,3,5,2,1,9]=>([(1,9),(2,9),(3,9),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
[10,4,9,7,6,3,5,2,8,1]=>([(2,9),(3,8),(4,5),(4,6),(4,7),(4,8),(6,9),(7,9),(8,9)],10)
[10,4,9,6,8,3,5,7,2,1]=>([(3,8),(4,5),(4,6),(4,8),(6,7),(6,9),(8,9)],10)
[10,9,8,4,7,6,3,5,2,1]=>([(5,9),(6,7),(6,8),(6,9)],10)
[10,7,9,6,5,4,3,2,8,1]=>([(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(7,9)],10)
[10,6,9,8,5,4,3,7,2,1]=>([(3,9),(4,9),(5,9),(6,7),(6,8),(6,9)],10)
[10,5,9,8,7,4,6,3,2,1]=>([(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[3,2,8,9,10,1,4,5,6,7]=>([(0,9),(1,8),(1,9),(2,8),(2,9),(5,3),(6,5),(7,4),(8,7),(9,6)],10)
[2,3,4,5,8,9,10,1,6,7]=>([(0,9),(1,7),(4,8),(5,6),(6,2),(7,4),(8,5),(8,9),(9,3)],10)
[2,3,4,7,8,9,10,1,5,6]=>([(0,9),(1,7),(4,6),(5,4),(6,2),(7,8),(8,5),(8,9),(9,3)],10)
[2,3,6,7,8,9,10,1,4,5]=>([(0,9),(1,8),(4,5),(5,7),(6,4),(7,2),(8,6),(8,9),(9,3)],10)
[2,5,6,7,8,9,10,1,3,4]=>([(0,9),(1,8),(1,9),(4,5),(5,7),(6,4),(7,2),(8,6),(9,3)],10)
[1,2,7,3,8,4,9,5,10,6]=>([(0,6),(2,7),(3,4),(3,7),(4,5),(4,9),(5,1),(5,8),(6,2),(6,3),(7,9),(9,8)],10)
[4,1,2,3,6,5,8,7,10,9]=>([(0,2),(1,8),(1,9),(2,3),(3,8),(3,9),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[7,1,2,3,4,5,9,6,10,8]=>([(0,8),(0,9),(1,5),(2,7),(2,9),(3,4),(4,6),(5,3),(6,2),(6,8),(8,7)],10)
[3,4,5,6,7,1,8,2,10,9]=>([(0,6),(1,3),(1,9),(2,9),(3,7),(3,8),(4,5),(5,2),(6,4),(9,7),(9,8)],10)
[1,4,5,6,10,7,8,2,9,3]=>([(0,6),(0,7),(3,9),(4,8),(5,3),(6,4),(7,1),(7,9),(8,2),(8,5)],10)
[2,4,5,6,10,7,1,8,3,9]=>([(0,8),(0,9),(1,5),(1,9),(3,8),(4,6),(5,4),(6,2),(6,3),(8,7),(9,7)],10)
[3,4,5,6,8,7,1,10,2,9]=>([(0,6),(1,4),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(5,7),(6,5),(7,2),(7,3)],10)
[3,5,6,7,10,8,1,9,2,4]=>([(0,6),(0,9),(1,4),(1,8),(3,8),(4,9),(5,7),(6,5),(7,2),(7,3)],10)
[1,4,5,9,6,7,2,8,10,3]=>([(0,5),(0,6),(2,9),(3,8),(4,3),(5,7),(6,1),(6,8),(7,2),(7,4),(8,9)],10)
[2,3,4,5,6,7,1,9,8,10]=>([(0,8),(0,9),(1,6),(2,8),(2,9),(3,5),(4,3),(5,2),(6,4),(8,7),(9,7)],10)
[2,3,4,5,1,7,6,9,8,10]=>([(0,3),(1,8),(1,9),(2,4),(3,2),(4,8),(4,9),(6,5),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[3,4,5,6,7,8,10,1,9,2]=>([(0,8),(1,3),(1,9),(4,5),(5,7),(6,4),(7,2),(7,9),(8,6)],10)
[7,8,9,6,1,2,3,4,10,5]=>([(0,9),(1,7),(2,8),(4,9),(5,6),(6,3),(6,9),(7,5),(8,4)],10)
[2,8,9,10,7,1,3,4,5,6]=>([(0,9),(1,4),(1,7),(1,9),(5,2),(6,3),(7,5),(8,6),(9,8)],10)
[8,9,7,5,6,1,2,3,10,4]=>([(0,9),(1,6),(2,5),(3,8),(5,9),(6,9),(7,4),(7,9),(8,7)],10)
[2,9,10,8,6,7,1,3,4,5]=>([(0,9),(1,5),(1,6),(1,7),(1,9),(6,4),(7,3),(8,2),(9,8)],10)
[7,8,9,5,1,2,3,4,10,6]=>([(0,8),(0,9),(1,6),(2,7),(3,9),(4,8),(4,9),(5,4),(6,5),(7,3)],10)
[7,8,9,1,6,2,3,4,10,5]=>([(0,8),(1,4),(1,6),(3,9),(4,9),(5,7),(6,5),(7,2),(7,9),(8,3)],10)
[2,8,9,10,6,1,3,4,5,7]=>([(0,9),(1,4),(1,7),(1,9),(3,8),(4,8),(5,2),(6,3),(7,5),(9,6)],10)
[2,8,9,10,1,7,3,4,5,6]=>([(0,8),(0,9),(1,7),(1,8),(1,9),(4,5),(5,2),(6,3),(7,6),(9,4)],10)
[4,2,3,5,6,7,8,9,10,1]=>([(1,9),(2,4),(4,9),(5,7),(6,5),(7,3),(8,6),(9,8)],10)
[9,10,6,7,4,5,2,3,1,8]=>([(0,9),(1,8),(2,7),(3,6),(4,5),(6,9),(7,9),(8,9)],10)
[8,9,4,5,10,1,2,3,6,7]=>([(0,6),(1,5),(2,7),(4,9),(5,8),(6,8),(6,9),(7,4),(9,3)],10)
[8,4,3,9,10,1,2,5,6,7]=>([(0,8),(1,8),(1,9),(2,8),(2,9),(3,4),(4,9),(5,7),(8,6),(9,5)],10)
[9,6,10,1,3,7,8,2,4,5]=>([(0,7),(1,7),(1,9),(2,4),(2,5),(4,8),(5,8),(5,9),(8,6),(9,3)],10)
[9,10,6,7,4,5,1,2,3,8]=>([(0,7),(1,6),(2,5),(3,8),(4,9),(6,9),(7,9),(8,4)],10)
[9,6,4,10,3,7,1,2,5,8]=>([(0,8),(0,9),(1,7),(2,7),(2,8),(3,7),(3,8),(3,9),(4,5),(5,9),(8,6),(9,6)],10)
[10,1,8,9,6,7,4,5,2,3]=>([(1,6),(1,7),(1,8),(1,9),(6,5),(7,4),(8,3),(9,2)],10)
[10,8,6,1,4,9,3,7,2,5]=>([(1,7),(2,7),(2,8),(3,4),(3,5),(3,6),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[10,8,6,5,4,1,3,9,2,7]=>([(1,8),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,6),(5,7),(6,9),(7,8),(7,9)],10)
[10,8,7,6,5,4,3,1,2,9]=>([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(8,9)],10)
[1,2,3,4,6,5,7,8,9,10]=>([(0,7),(2,9),(3,9),(4,1),(5,8),(6,4),(7,5),(8,2),(8,3),(9,6)],10)
[1,2,3,4,5,6,8,7,9,10]=>([(0,7),(1,9),(2,9),(4,6),(5,4),(6,8),(7,5),(8,1),(8,2),(9,3)],10)
[10,7,6,5,4,3,2,1,8,9]=>([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(9,8)],10)
[10,1,2,3,4,5,6,9,8,7]=>([(1,8),(5,7),(6,5),(7,9),(8,6),(9,2),(9,3),(9,4)],10)
[10,1,2,3,4,5,9,7,8,6]=>([(1,8),(5,6),(6,9),(7,2),(8,5),(9,3),(9,4),(9,7)],10)
[10,1,2,3,9,5,6,7,8,4]=>([(1,8),(5,7),(6,5),(7,2),(8,9),(9,3),(9,4),(9,6)],10)
[10,1,2,9,4,5,6,7,8,3]=>([(1,9),(5,6),(6,8),(7,5),(8,2),(9,3),(9,4),(9,7)],10)
[3,4,5,6,7,9,10,1,8,2]=>([(0,8),(1,3),(1,9),(4,7),(5,4),(6,2),(7,6),(7,9),(8,5)],10)
[3,4,5,7,8,9,10,1,6,2]=>([(0,8),(1,3),(1,9),(4,6),(5,4),(6,2),(7,5),(7,9),(8,7)],10)
[3,4,6,7,8,9,10,1,5,2]=>([(0,8),(1,3),(1,9),(4,5),(5,7),(6,4),(7,2),(8,6),(8,9)],10)
[4,5,6,7,8,9,10,1,3,2]=>([(0,9),(1,3),(1,4),(5,7),(6,5),(7,2),(8,6),(9,8)],10)
[6,4,5,7,3,8,2,9,1,10]=>([(0,6),(1,9),(2,7),(3,8),(4,5),(5,9),(6,8),(8,7),(9,6)],10)
[9,8,7,5,6,4,3,2,10,1]=>([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(8,9)],10)
[9,10,2,4,6,8,1,3,5,7]=>([(0,9),(1,6),(1,9),(2,4),(5,3),(5,8),(6,5),(6,7),(7,8),(9,7)],10)
[7,8,2,4,6,10,1,3,5,9]=>([(0,6),(1,4),(2,3),(2,6),(3,5),(3,8),(4,7),(4,9),(5,7),(5,9),(6,8),(8,9)],10)
[9,7,10,2,4,6,8,1,3,5]=>([(0,6),(1,7),(2,6),(2,8),(3,4),(3,7),(4,5),(4,9),(5,8),(7,9)],10)
[8,9,10,7,2,4,6,1,3,5]=>([(1,8),(2,4),(3,5),(3,8),(4,6),(5,7),(5,9),(8,9)],10)
[5,6,2,4,8,10,1,3,7,9]=>([(0,6),(1,4),(2,5),(2,6),(4,8),(4,9),(5,8),(5,9),(6,9),(8,3),(8,7),(9,7)],10)
[5,6,9,10,2,4,8,1,3,7]=>([(0,8),(1,6),(2,4),(2,8),(4,7),(4,9),(5,3),(6,5),(6,7),(6,9),(8,9)],10)
[7,5,8,2,4,6,10,1,3,9]=>([(0,5),(1,6),(2,5),(2,8),(3,4),(3,6),(4,8),(5,7),(5,9),(6,9),(8,7),(8,9)],10)
[7,9,5,10,2,4,6,8,1,3]=>([(0,8),(0,9),(1,7),(2,4),(2,7),(3,5),(3,6),(4,9),(5,8),(9,6)],10)
[5,8,9,10,7,2,4,6,1,3]=>([(0,9),(1,5),(1,9),(2,4),(2,7),(2,8),(5,8),(6,3),(7,6)],10)
[6,7,8,5,2,4,10,1,3,9]=>([(0,8),(0,9),(1,7),(2,4),(3,5),(3,7),(4,6),(5,8),(5,9),(6,8),(6,9),(7,9)],10)
[9,6,7,5,10,2,4,8,1,3]=>([(0,8),(1,8),(1,9),(2,7),(3,6),(4,5),(4,7),(5,9),(6,8),(6,9)],10)
[8,9,6,10,5,7,2,4,1,3]=>([(0,7),(1,8),(2,7),(2,9),(3,6),(4,5),(4,8),(6,9)],10)
[7,8,9,10,6,5,2,4,1,3]=>([(2,9),(3,6),(4,5),(4,9),(6,7),(7,8)],10)
[3,4,2,6,8,10,1,5,7,9]=>([(0,9),(1,8),(1,9),(2,3),(3,8),(3,9),(4,5),(4,7),(6,7),(8,4),(8,6),(9,6)],10)
[3,4,9,10,2,6,8,1,5,7]=>([(0,9),(1,8),(1,9),(2,6),(5,4),(6,5),(6,8),(6,9),(8,3),(8,7),(9,7)],10)
[3,4,7,8,2,6,10,1,5,9]=>([(0,3),(1,8),(2,6),(2,8),(3,5),(3,6),(3,8),(4,7),(4,9),(5,4),(6,7),(6,9),(8,9)],10)
[9,3,4,7,10,2,6,8,1,5]=>([(0,9),(1,8),(1,9),(2,6),(3,4),(4,5),(4,8),(4,9),(5,6),(5,7),(8,7)],10)
[8,9,10,3,4,7,2,6,1,5]=>([(0,9),(1,8),(1,9),(2,4),(3,5),(4,6),(5,7),(5,8),(5,9)],10)
[5,3,6,2,4,8,10,1,7,9]=>([(0,9),(1,6),(2,5),(3,5),(3,6),(5,8),(5,9),(6,8),(6,9),(8,4),(8,7),(9,7)],10)
[5,3,6,9,10,2,4,8,1,7]=>([(0,8),(1,9),(2,6),(3,6),(3,8),(4,5),(6,7),(6,9),(8,4),(8,7),(8,9)],10)
[5,7,3,8,2,4,6,10,1,9]=>([(0,5),(1,5),(1,8),(2,9),(3,4),(3,7),(4,8),(5,7),(7,6),(7,9),(8,6),(8,9)],10)
[5,7,9,3,10,2,4,6,8,1]=>([(1,6),(2,6),(2,7),(3,4),(3,8),(4,5),(4,9),(5,7),(6,8),(8,9)],10)
[8,5,9,10,3,7,2,4,6,1]=>([(1,9),(2,7),(3,6),(3,8),(3,9),(4,6),(4,7),(7,8),(9,5)],10)
[3,6,7,8,5,2,4,10,1,9]=>([(0,9),(1,7),(2,4),(2,6),(2,7),(3,8),(3,9),(4,8),(4,9),(5,3),(6,5),(7,8),(7,9)],10)
[9,3,6,7,5,10,2,4,8,1]=>([(1,8),(2,7),(3,4),(3,5),(3,7),(4,6),(5,8),(5,9),(6,8),(6,9),(7,9)],10)
[6,8,3,9,10,5,7,2,4,1]=>([(1,7),(2,6),(2,7),(2,9),(3,4),(3,8),(4,9),(6,8),(9,5)],10)
[7,8,9,10,3,6,5,2,4,1]=>([(1,9),(2,8),(3,5),(3,6),(3,9),(7,4),(8,7)],10)
[4,5,6,3,2,8,10,1,7,9]=>([(0,9),(1,8),(1,9),(2,8),(2,9),(3,4),(4,6),(6,8),(6,9),(8,5),(8,7),(9,7)],10)
[4,5,6,3,9,10,2,8,1,7]=>([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,4),(4,6),(6,7),(6,8),(6,9),(7,5)],10)
[7,4,5,3,8,2,6,10,1,9]=>([(0,7),(1,9),(2,8),(3,8),(3,9),(4,5),(5,8),(5,9),(8,6),(8,7),(9,6),(9,7)],10)
[7,4,5,9,3,10,2,6,8,1]=>([(1,9),(2,7),(2,8),(3,6),(3,9),(4,5),(5,8),(5,9),(8,6),(9,7)],10)
[4,8,5,9,10,3,7,2,6,1]=>([(1,9),(2,7),(2,9),(3,4),(3,6),(4,8),(6,7),(6,8),(6,9),(8,5)],10)
[6,7,4,8,3,5,2,10,1,9]=>([(0,9),(1,8),(1,9),(2,6),(3,6),(3,7),(4,5),(5,7),(6,8),(6,9),(7,8),(7,9)],10)
[6,7,9,4,3,5,10,2,8,1]=>([(1,9),(2,7),(3,7),(4,5),(5,6),(5,9),(6,8),(7,8),(7,9)],10)
[8,6,9,4,10,3,5,7,2,1]=>([(2,7),(3,6),(4,6),(4,9),(5,7),(5,8),(6,8),(7,9)],10)
[7,4,8,9,10,6,3,5,2,1]=>([(2,9),(3,8),(4,5),(4,8),(4,9),(6,7),(9,6)],10)
[5,6,7,8,4,3,2,10,1,9]=>([(0,5),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(6,8),(6,9),(7,6)],10)
[9,5,6,7,4,3,10,2,8,1]=>([(1,9),(2,8),(3,8),(3,9),(4,8),(4,9),(5,6),(6,7),(7,8),(7,9)],10)
[8,9,5,6,4,10,3,7,2,1]=>([(2,8),(3,8),(3,9),(4,6),(5,7),(6,9),(7,8),(7,9)],10)
[7,8,9,5,10,4,6,3,2,1]=>([(3,8),(4,8),(4,9),(5,6),(6,7),(7,9)],10)
[1,2,4,5,6,8,10,9,3,7]=>([(0,8),(3,9),(4,5),(5,6),(6,7),(6,9),(7,1),(7,2),(8,3),(8,4)],10)
[1,2,3,5,7,8,10,6,9,4]=>([(0,6),(3,9),(4,5),(5,1),(5,9),(6,7),(7,2),(7,8),(8,3),(8,4)],10)
[1,2,4,5,7,8,10,3,9,6]=>([(0,7),(2,8),(2,9),(3,6),(4,5),(5,3),(5,9),(6,1),(6,8),(7,2),(7,4)],10)
[1,2,4,6,7,5,10,8,3,9]=>([(0,6),(1,9),(2,7),(2,8),(3,7),(3,8),(4,3),(5,2),(5,4),(6,1),(6,5),(8,9)],10)
[1,3,4,2,7,8,10,5,9,6]=>([(0,4),(0,6),(3,7),(3,9),(4,7),(4,9),(5,2),(5,8),(6,3),(7,5),(9,1),(9,8)],10)
[1,3,4,6,7,2,10,8,5,9]=>([(0,2),(0,5),(1,7),(1,8),(2,6),(2,7),(2,8),(3,1),(4,3),(4,6),(5,4),(6,9),(8,9)],10)
[1,2,3,5,6,9,8,10,7,4]=>([(0,6),(3,9),(4,9),(5,8),(6,7),(7,2),(7,5),(8,1),(8,3),(8,4)],10)
[1,2,4,5,6,9,8,10,3,7]=>([(0,7),(1,9),(2,8),(3,8),(4,5),(5,6),(6,2),(6,3),(6,9),(7,1),(7,4)],10)
[1,2,3,5,7,9,6,10,8,4]=>([(0,5),(2,8),(3,8),(3,9),(4,2),(4,9),(5,6),(6,1),(6,7),(7,3),(7,4)],10)
[1,2,4,5,7,9,3,10,8,6]=>([(0,6),(1,9),(2,7),(2,8),(2,9),(3,4),(4,5),(4,7),(5,1),(5,8),(6,2),(6,3)],10)
[1,2,4,6,5,9,7,10,3,8]=>([(0,5),(1,8),(2,6),(2,7),(3,6),(3,7),(4,2),(4,3),(5,1),(5,4),(6,9),(7,8),(7,9)],10)
[1,3,4,2,7,9,5,10,8,6]=>([(0,4),(0,5),(2,8),(2,9),(3,6),(4,8),(4,9),(5,2),(8,3),(8,7),(9,1),(9,6),(9,7)],10)
[1,3,4,6,2,9,7,10,5,8]=>([(0,1),(0,4),(1,2),(2,3),(2,8),(3,7),(3,9),(4,7),(4,8),(4,9),(7,6),(8,5),(9,5),(9,6)],10)
[1,2,3,5,8,7,9,6,10,4]=>([(0,5),(1,9),(3,8),(4,8),(5,6),(6,2),(6,7),(7,1),(7,3),(7,4),(8,9)],10)
[1,2,4,5,8,7,9,3,10,6]=>([(0,6),(1,8),(1,9),(2,7),(3,7),(4,5),(5,2),(5,3),(5,8),(6,1),(6,4),(7,9)],10)
[1,2,4,6,8,5,9,3,10,7]=>([(0,6),(1,8),(1,9),(2,7),(3,7),(3,9),(4,2),(4,9),(5,3),(5,4),(6,1),(6,5),(7,8)],10)
[1,2,4,7,6,8,5,9,3,10]=>([(0,5),(1,7),(2,7),(3,9),(4,8),(5,4),(5,6),(6,1),(6,2),(6,3),(7,9),(9,8)],10)
[1,3,4,2,8,7,9,5,10,6]=>([(0,2),(0,4),(2,3),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(6,5),(7,6),(8,6),(9,1),(9,5)],10)
[1,3,4,6,8,2,9,5,10,7]=>([(0,2),(0,5),(1,7),(2,6),(2,7),(3,1),(3,8),(4,3),(4,6),(5,4),(6,8),(6,9),(7,9)],10)
[1,3,4,7,6,8,2,9,5,10]=>([(0,3),(0,4),(1,6),(2,6),(3,7),(3,8),(4,5),(5,1),(5,2),(5,7),(6,8),(7,9),(8,9)],10)
[1,2,3,6,5,9,7,10,8,4]=>([(0,5),(3,7),(3,9),(4,7),(4,9),(5,6),(6,2),(6,3),(6,4),(7,8),(9,1),(9,8)],10)
[1,2,4,6,3,9,7,10,8,5]=>([(0,5),(2,6),(2,9),(3,6),(3,7),(3,9),(4,2),(4,7),(5,3),(5,4),(6,8),(9,1),(9,8)],10)
[1,2,5,4,6,9,7,10,3,8]=>([(0,6),(1,9),(2,9),(3,8),(4,7),(5,7),(5,8),(6,1),(6,2),(6,4),(9,3),(9,5)],10)
[1,3,2,6,4,9,7,10,8,5]=>([(0,3),(0,4),(3,8),(3,9),(4,8),(4,9),(6,5),(7,2),(7,5),(8,6),(8,7),(9,1),(9,6),(9,7)],10)
[1,3,5,2,6,9,7,10,4,8]=>([(0,4),(0,5),(1,9),(2,6),(3,6),(3,8),(4,7),(4,9),(5,1),(5,7),(7,8),(9,2),(9,3)],10)
[1,2,3,6,8,5,9,7,10,4]=>([(0,5),(2,7),(3,7),(3,8),(4,2),(4,8),(5,6),(6,1),(6,3),(6,4),(7,9),(8,9)],10)
[1,2,4,6,8,3,9,7,10,5]=>([(0,5),(1,6),(2,6),(2,7),(2,8),(3,4),(3,8),(4,1),(4,7),(5,2),(5,3),(6,9),(7,9)],10)
[1,2,5,4,8,6,9,3,10,7]=>([(0,1),(1,2),(1,3),(1,4),(2,5),(2,6),(3,8),(3,9),(4,8),(4,9),(7,6),(8,7),(9,5),(9,7)],10)
[1,2,5,7,4,8,6,9,3,10]=>([(0,5),(1,8),(2,6),(3,6),(3,7),(4,2),(4,7),(5,1),(5,3),(5,4),(6,9),(7,9),(9,8)],10)
[1,3,2,6,8,4,9,7,10,5]=>([(0,3),(0,4),(2,7),(3,8),(3,9),(4,8),(4,9),(6,5),(7,5),(8,2),(8,6),(9,1),(9,6),(9,7)],10)
[1,3,5,2,8,6,9,4,10,7]=>([(0,1),(0,3),(1,2),(1,9),(2,7),(2,8),(3,7),(3,8),(3,9),(6,5),(7,6),(8,4),(8,6),(9,4),(9,5)],10)
[1,3,5,7,2,8,6,9,4,10]=>([(0,3),(0,4),(1,2),(1,9),(2,7),(3,1),(3,8),(4,7),(4,8),(4,9),(6,5),(7,6),(8,5),(9,6)],10)
[1,4,3,5,8,2,9,6,10,7]=>([(0,3),(0,4),(0,5),(2,6),(3,8),(4,8),(5,6),(5,9),(6,7),(8,2),(8,9),(9,1),(9,7)],10)
[1,4,3,7,5,8,2,9,6,10]=>([(0,1),(0,2),(0,3),(1,6),(1,7),(2,8),(2,9),(3,8),(3,9),(5,6),(6,4),(7,4),(8,5),(9,5),(9,7)],10)
[2,1,3,6,4,9,7,10,8,5]=>([(0,9),(1,9),(4,6),(4,8),(5,3),(5,6),(5,8),(6,7),(8,2),(8,7),(9,4),(9,5)],10)
[2,1,5,3,6,9,7,10,4,8]=>([(0,8),(0,9),(1,8),(1,9),(2,6),(3,7),(4,6),(4,7),(5,3),(5,4),(8,5),(9,2),(9,5)],10)
[2,1,3,6,8,4,9,7,10,5]=>([(0,9),(1,9),(3,6),(4,3),(4,7),(5,2),(5,6),(5,7),(6,8),(7,8),(9,4),(9,5)],10)
[2,1,5,3,8,6,9,4,10,7]=>([(0,8),(0,9),(1,8),(1,9),(2,3),(2,4),(5,6),(6,3),(7,4),(7,6),(8,5),(8,7),(9,2),(9,5),(9,7)],10)
[2,1,5,7,3,8,6,9,4,10]=>([(0,8),(0,9),(1,8),(1,9),(2,7),(3,4),(5,6),(6,4),(7,6),(8,2),(8,5),(9,3),(9,5),(9,7)],10)
[2,4,1,5,8,3,9,6,10,7]=>([(0,4),(0,9),(1,7),(1,9),(3,8),(4,7),(6,2),(6,5),(7,3),(7,6),(8,5),(9,6),(9,8)],10)
[2,4,1,7,5,8,3,9,6,10]=>([(0,2),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(4,5),(5,3),(6,3),(7,4),(8,4),(8,6),(9,5),(9,6)],10)
[5,6,1,2,3,7,8,9,10,4]=>([(0,8),(1,4),(4,9),(5,2),(6,3),(6,9),(7,5),(8,6),(9,7)],10)
[2,5,1,3,6,7,8,9,10,4]=>([(0,9),(1,4),(1,9),(4,8),(5,6),(6,3),(7,5),(8,7),(9,2),(9,8)],10)
[3,2,1,5,6,7,8,9,10,4]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(4,5),(5,7),(6,4),(7,3),(9,6)],10)
[6,7,8,1,2,3,4,9,10,5]=>([(0,7),(1,8),(3,9),(5,6),(6,2),(6,9),(7,5),(8,3),(9,4)],10)
[2,6,7,1,3,4,8,9,10,5]=>([(0,9),(1,5),(1,9),(4,8),(5,4),(6,2),(6,8),(7,3),(8,7),(9,6)],10)
[6,3,4,1,2,7,8,9,10,5]=>([(0,9),(1,5),(2,4),(4,8),(4,9),(5,8),(5,9),(6,3),(7,6),(9,7)],10)
[3,2,6,1,4,7,8,9,10,5]=>([(0,9),(1,8),(1,9),(2,8),(2,9),(5,3),(6,5),(7,6),(8,7),(9,4),(9,7)],10)
[4,3,2,1,6,7,8,9,10,5]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,7),(6,5),(7,6),(9,4)],10)
[2,7,8,9,1,3,4,5,10,6]=>([(0,9),(1,6),(1,9),(3,8),(4,3),(5,7),(6,4),(7,2),(7,8),(9,5)],10)
[7,3,4,8,1,2,5,9,10,6]=>([(0,7),(1,6),(2,5),(5,8),(6,7),(6,8),(7,9),(8,3),(8,9),(9,4)],10)
[3,2,7,8,1,4,5,9,10,6]=>([(0,9),(1,8),(1,9),(2,8),(2,9),(4,7),(6,3),(6,7),(7,5),(8,4),(9,6)],10)
[4,7,2,5,1,3,8,9,10,6]=>([(0,6),(1,6),(1,7),(2,3),(2,7),(3,9),(4,5),(6,8),(6,9),(7,8),(7,9),(9,4)],10)
[4,3,2,7,1,5,8,9,10,6]=>([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(5,6),(7,5),(8,7),(9,4),(9,7)],10)
[5,4,3,2,1,7,8,9,10,6]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(7,6),(9,5)],10)
[8,3,4,9,10,1,2,5,6,7]=>([(0,9),(1,6),(2,5),(5,8),(6,8),(6,9),(7,4),(8,7),(9,3)],10)
[8,9,4,5,6,1,2,3,10,7]=>([(0,5),(1,7),(2,6),(3,8),(3,9),(4,8),(4,9),(5,9),(6,3),(7,4)],10)
[4,3,2,8,9,1,5,6,10,7]=>([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,6),(4,7),(5,7),(8,5),(9,4)],10)
[8,5,6,3,4,1,2,9,10,7]=>([(0,9),(1,7),(2,6),(3,5),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(9,4)],10)
[5,3,8,2,6,1,4,9,10,7]=>([(0,7),(1,7),(1,8),(2,5),(2,8),(3,5),(3,7),(3,8),(5,9),(7,6),(7,9),(8,6),(8,9),(9,4)],10)
[5,4,3,2,8,1,6,9,10,7]=>([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(7,6),(8,7),(9,5),(9,7)],10)
[6,5,4,3,2,1,8,9,10,7]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,7),(9,6)],10)
[5,9,10,2,6,7,1,3,4,8]=>([(0,9),(1,8),(1,9),(2,6),(2,8),(3,7),(5,7),(6,4),(8,5),(9,3)],10)
[9,5,6,3,4,10,1,2,7,8]=>([(0,8),(1,4),(2,7),(3,6),(4,9),(6,8),(6,9),(7,8),(7,9),(9,5)],10)
[5,3,9,2,6,10,1,4,7,8]=>([(0,8),(1,8),(1,9),(2,5),(2,9),(3,5),(3,8),(3,9),(5,6),(7,4),(8,7),(9,6),(9,7)],10)
[5,4,3,2,9,10,1,6,7,8]=>([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(8,6),(9,5)],10)
[6,9,4,7,2,5,1,3,10,8]=>([(0,6),(1,5),(1,6),(2,5),(2,7),(3,4),(3,7),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[6,4,3,9,2,7,1,5,10,8]=>([(0,9),(1,8),(1,9),(2,6),(2,8),(3,6),(3,8),(3,9),(4,6),(4,8),(4,9),(6,7),(8,5),(8,7),(9,5),(9,7)],10)
[6,5,4,3,2,9,1,7,10,8]=>([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(8,7),(9,6),(9,7)],10)
[7,6,5,4,3,2,1,9,10,8]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(9,7)],10)
[10,7,8,5,6,3,4,1,2,9]=>([(1,8),(2,7),(3,6),(4,5),(5,9),(6,9),(7,9),(8,9)],10)
[7,5,10,3,8,2,6,1,4,9]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(2,8),(3,5),(3,8),(4,5),(4,7),(4,8),(6,9),(7,9),(8,9)],10)
[7,5,4,3,10,2,8,1,6,9]=>([(0,9),(1,8),(1,9),(2,7),(2,8),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(8,6),(9,6)],10)
[7,6,5,4,3,2,10,1,8,9]=>([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(9,7)],10)
[2,1,8,7,4,3,6,5,10,9]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,2),(6,3),(7,2),(7,3)],10)
[2,1,4,3,6,5,7,9,10,8]=>([(0,8),(0,9),(1,8),(1,9),(3,4),(5,2),(5,3),(6,5),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[2,1,4,3,5,7,8,6,10,9]=>([(0,8),(0,9),(1,8),(1,9),(2,4),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3),(8,5),(9,5)],10)
[2,1,4,3,5,7,6,9,10,8]=>([(0,8),(0,9),(1,8),(1,9),(3,6),(3,7),(4,6),(4,7),(5,3),(5,4),(7,2),(8,5),(9,5)],10)
[2,1,4,3,5,6,8,9,10,7]=>([(0,8),(0,9),(1,8),(1,9),(4,5),(5,3),(6,2),(6,4),(7,6),(8,7),(9,7)],10)
[2,1,3,5,6,4,8,7,10,9]=>([(0,7),(1,7),(2,4),(3,8),(3,9),(4,8),(4,9),(7,2),(7,3),(8,5),(8,6),(9,5),(9,6)],10)
[2,1,3,5,6,4,7,9,10,8]=>([(0,9),(1,9),(3,8),(4,8),(6,4),(7,2),(8,5),(8,7),(9,3),(9,6)],10)
[2,1,3,5,4,7,8,6,10,9]=>([(0,8),(1,8),(2,5),(2,6),(3,7),(3,9),(4,7),(4,9),(7,2),(8,3),(8,4),(9,5),(9,6)],10)
[2,1,3,5,4,7,6,9,10,8]=>([(0,7),(1,7),(3,8),(3,9),(4,8),(4,9),(6,2),(7,3),(7,4),(8,5),(8,6),(9,5),(9,6)],10)
[2,1,3,5,4,6,8,9,10,7]=>([(0,9),(1,9),(3,8),(4,8),(6,2),(7,6),(8,5),(8,7),(9,3),(9,4)],10)
[2,1,3,4,6,7,8,5,10,9]=>([(0,9),(1,9),(2,7),(2,8),(3,7),(3,8),(4,5),(5,3),(6,2),(6,4),(9,6)],10)
[2,1,3,4,6,7,5,9,10,8]=>([(0,8),(1,8),(3,7),(3,9),(4,7),(4,9),(5,4),(6,3),(6,5),(8,6),(9,2)],10)
[2,1,3,4,6,5,8,9,10,7]=>([(0,9),(1,9),(3,7),(3,8),(4,7),(4,8),(5,2),(6,3),(6,4),(8,5),(9,6)],10)
[2,1,3,4,5,7,8,9,10,6]=>([(0,9),(1,9),(4,6),(5,4),(6,2),(7,8),(8,3),(8,5),(9,7)],10)
[1,3,4,2,6,5,7,9,10,8]=>([(0,4),(0,6),(3,7),(3,8),(4,7),(4,8),(5,2),(6,3),(7,9),(8,9),(9,1),(9,5)],10)
[1,3,4,2,5,7,8,6,10,9]=>([(0,4),(0,6),(1,9),(2,7),(2,8),(3,7),(3,8),(4,9),(5,3),(6,1),(9,2),(9,5)],10)
[1,3,4,2,5,7,6,9,10,8]=>([(0,5),(0,6),(2,9),(3,7),(3,8),(4,7),(4,8),(5,9),(6,2),(8,1),(9,3),(9,4)],10)
[1,3,4,2,5,6,8,9,10,7]=>([(0,4),(0,7),(3,9),(4,9),(5,6),(6,2),(7,3),(8,1),(8,5),(9,8)],10)
[1,3,2,5,6,4,8,7,10,9]=>([(0,2),(0,3),(1,7),(1,8),(2,6),(2,9),(3,6),(3,9),(6,1),(7,4),(7,5),(8,4),(8,5),(9,7),(9,8)],10)
[1,3,2,5,6,4,7,9,10,8]=>([(0,4),(0,5),(3,9),(4,7),(4,8),(5,7),(5,8),(6,1),(7,9),(8,3),(9,2),(9,6)],10)
[1,3,2,5,4,7,8,6,10,9]=>([(0,2),(0,3),(1,4),(1,5),(2,8),(2,9),(3,8),(3,9),(6,1),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[1,3,2,5,4,7,6,9,10,8]=>([(0,2),(0,3),(2,8),(2,9),(3,8),(3,9),(5,1),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[1,3,2,5,4,6,8,9,10,7]=>([(0,3),(0,4),(3,7),(3,8),(4,7),(4,8),(5,6),(6,2),(7,9),(8,9),(9,1),(9,5)],10)
[1,3,2,4,6,7,8,5,10,9]=>([(0,3),(0,4),(1,7),(1,8),(2,7),(2,8),(3,9),(4,9),(5,6),(6,2),(9,1),(9,5)],10)
[1,3,2,4,6,7,5,9,10,8]=>([(0,4),(0,5),(1,7),(1,8),(3,7),(3,8),(4,9),(5,9),(6,1),(8,2),(9,3),(9,6)],10)
[1,3,2,4,6,5,8,9,10,7]=>([(0,4),(0,5),(2,7),(2,8),(3,7),(3,8),(4,9),(5,9),(6,1),(8,6),(9,2),(9,3)],10)
[1,3,2,4,5,7,8,9,10,6]=>([(0,3),(0,4),(3,9),(4,9),(5,7),(6,2),(7,6),(8,1),(8,5),(9,8)],10)
[1,2,4,5,6,3,8,7,10,9]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(4,2),(5,1),(5,3),(6,8),(6,9),(7,8),(7,9)],10)
[1,2,4,5,6,3,7,9,10,8]=>([(0,8),(2,9),(3,9),(5,6),(6,3),(7,1),(8,2),(8,5),(9,4),(9,7)],10)
[1,2,4,5,3,7,8,6,10,9]=>([(0,5),(1,6),(1,9),(2,6),(2,9),(3,7),(3,8),(4,2),(5,1),(5,4),(6,7),(6,8),(9,3)],10)
[1,2,4,5,3,7,6,9,10,8]=>([(0,5),(2,6),(2,7),(3,6),(3,7),(4,3),(5,2),(5,4),(6,8),(6,9),(7,8),(7,9),(9,1)],10)
[1,2,4,5,3,6,8,9,10,7]=>([(0,8),(2,9),(3,9),(5,1),(6,3),(7,5),(8,2),(8,6),(9,4),(9,7)],10)
[1,2,4,3,6,7,8,5,10,9]=>([(0,5),(1,8),(1,9),(2,6),(2,7),(3,6),(3,7),(4,1),(5,2),(5,3),(6,8),(6,9),(7,4)],10)
[1,2,4,3,6,7,5,9,10,8]=>([(0,5),(2,7),(2,9),(3,6),(3,8),(4,6),(4,8),(5,3),(5,4),(6,7),(6,9),(8,2),(9,1)],10)
[1,2,4,3,6,5,8,9,10,7]=>([(0,5),(2,6),(2,7),(3,6),(3,7),(4,1),(5,2),(5,3),(6,8),(6,9),(7,8),(7,9),(9,4)],10)
[1,2,4,3,5,7,8,9,10,6]=>([(0,8),(2,9),(3,9),(5,6),(6,1),(7,5),(8,2),(8,3),(9,4),(9,7)],10)
[1,2,3,5,6,7,8,4,10,9]=>([(0,6),(1,8),(1,9),(2,8),(2,9),(3,5),(4,3),(5,1),(6,7),(7,2),(7,4)],10)
[1,2,3,5,6,7,4,9,10,8]=>([(0,6),(2,8),(2,9),(3,8),(3,9),(4,5),(5,3),(6,7),(7,2),(7,4),(9,1)],10)
[1,2,3,5,6,4,8,9,10,7]=>([(0,6),(2,8),(2,9),(3,8),(3,9),(4,3),(5,1),(6,7),(7,2),(7,4),(9,5)],10)
[1,2,3,5,4,7,8,9,10,6]=>([(0,6),(2,8),(2,9),(3,8),(3,9),(4,1),(5,4),(6,7),(7,2),(7,3),(9,5)],10)
[2,3,4,5,6,10,8,9,7,1]=>([(1,8),(5,6),(6,9),(7,2),(8,5),(9,3),(9,4),(9,7)],10)
[2,3,4,5,10,7,8,9,6,1]=>([(1,8),(5,9),(6,7),(7,2),(8,5),(9,3),(9,4),(9,6)],10)
[2,3,4,10,6,7,8,9,5,1]=>([(1,8),(5,7),(6,5),(7,2),(8,9),(9,3),(9,4),(9,6)],10)
[2,3,10,5,6,7,8,9,4,1]=>([(1,9),(5,6),(6,8),(7,5),(8,2),(9,3),(9,4),(9,7)],10)
[2,10,4,5,6,7,8,9,3,1]=>([(1,3),(1,4),(1,9),(5,6),(6,8),(7,5),(8,2),(9,7)],10)
[10,3,4,5,6,7,8,9,2,1]=>([(3,9),(5,6),(6,8),(7,5),(8,4),(9,7)],10)
[6,5,7,4,8,3,10,1,9,2]=>([(0,6),(1,6),(2,8),(3,7),(3,9),(4,5),(4,9),(6,8),(8,7),(8,9)],10)
[6,5,7,4,10,1,9,2,8,3]=>([(0,7),(0,8),(0,9),(1,6),(2,6),(3,4),(3,8),(4,5),(4,9),(6,7),(6,8),(6,9)],10)
[6,5,10,1,9,2,8,3,7,4]=>([(0,3),(0,7),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,5),(3,8),(5,4),(5,9)],10)
[5,10,1,9,2,8,3,7,4,6]=>([(0,5),(0,9),(1,3),(1,6),(1,7),(1,8),(1,9),(2,6),(4,2),(4,8),(5,4),(5,7)],10)
[5,6,4,10,1,9,2,8,3,7]=>([(0,6),(0,7),(0,8),(0,9),(1,4),(2,3),(2,7),(3,5),(3,9),(4,6),(4,7),(4,8),(4,9),(5,8)],10)
[5,6,4,7,3,10,1,9,2,8]=>([(0,7),(1,6),(1,8),(1,9),(2,5),(3,4),(3,8),(4,9),(5,7),(7,6),(7,8),(7,9)],10)
[5,6,4,7,3,8,2,10,1,9]=>([(0,8),(1,9),(2,7),(2,9),(3,6),(4,5),(5,8),(6,7),(6,9),(8,6)],10)
[2,10,1,3,4,5,6,9,7,8]=>([(0,9),(1,4),(1,9),(5,8),(6,3),(7,5),(8,2),(8,6),(9,7)],10)
[2,9,1,3,4,5,6,7,10,8]=>([(0,9),(1,3),(1,9),(3,8),(4,5),(5,7),(6,4),(7,2),(7,8),(9,6)],10)
[10,3,1,2,4,5,6,9,7,8]=>([(1,9),(2,5),(5,9),(6,4),(7,8),(8,3),(8,6),(9,7)],10)
[3,1,10,2,4,5,6,9,7,8]=>([(0,8),(0,9),(1,4),(1,9),(4,8),(5,3),(6,7),(7,2),(7,5),(8,6)],10)
[9,3,1,2,4,5,6,7,10,8]=>([(0,9),(1,8),(2,4),(4,9),(5,7),(6,5),(7,3),(7,8),(9,6)],10)
[3,1,9,2,4,5,6,7,10,8]=>([(0,8),(0,9),(1,3),(1,8),(3,9),(4,6),(5,4),(6,2),(6,7),(8,7),(9,5)],10)
[10,9,3,4,5,6,7,8,1,2]=>([(2,9),(3,5),(6,8),(7,6),(8,4),(9,7)],10)
[10,9,2,3,4,5,6,7,1,8]=>([(2,9),(3,8),(4,9),(5,7),(6,5),(7,4),(8,6)],10)
[10,4,5,6,7,8,9,2,1,3]=>([(1,9),(2,9),(3,8),(5,7),(6,5),(7,4),(8,6)],10)
[10,3,4,5,6,7,8,2,1,9]=>([(1,9),(2,9),(3,8),(4,9),(5,7),(6,5),(7,4),(8,6)],10)
[1,8,5,2,9,6,3,10,7,4]=>([(0,2),(0,3),(0,5),(2,8),(3,6),(3,8),(4,1),(4,7),(4,9),(5,4),(5,6),(5,8),(6,7),(6,9),(8,9)],10)
[10,9,3,8,7,6,5,4,2,1]=>([(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[8,7,6,4,5,3,2,1,10,9]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,7),(7,8),(7,9)],10)
[10,9,8,6,5,4,7,3,2,1]=>([(6,9),(7,9),(8,9)],10)
[8,1,9,10,2,3,4,5,6,7]=>([(0,9),(1,8),(1,9),(4,5),(5,7),(6,4),(7,2),(8,6),(9,3)],10)
[3,4,5,6,7,10,1,2,8,9]=>([(0,8),(1,4),(4,9),(5,7),(6,5),(7,2),(7,9),(8,6),(9,3)],10)
[3,4,5,6,9,10,1,2,7,8]=>([(0,8),(1,4),(4,9),(5,7),(6,2),(7,6),(7,9),(8,5),(9,3)],10)
[3,4,5,8,9,10,1,2,6,7]=>([(0,8),(1,4),(4,9),(5,6),(6,2),(7,5),(7,9),(8,7),(9,3)],10)
[3,4,7,8,9,10,1,2,5,6]=>([(0,8),(1,4),(4,9),(5,7),(6,5),(7,2),(8,6),(8,9),(9,3)],10)
[3,6,7,8,9,10,1,2,4,5]=>([(0,4),(1,8),(1,9),(4,9),(5,7),(6,5),(7,2),(8,6),(9,3)],10)
[2,1,4,3,6,5,10,7,9,8]=>([(0,8),(0,9),(1,8),(1,9),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[2,1,4,3,8,5,7,6,10,9]=>([(0,6),(0,7),(1,6),(1,7),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],10)
[2,1,4,3,10,9,7,5,6,8]=>([(0,8),(0,9),(1,8),(1,9),(2,6),(5,2),(7,6),(8,3),(8,4),(8,5),(8,7),(9,3),(9,4),(9,5),(9,7)],10)
[2,1,4,3,10,5,6,8,9,7]=>([(0,8),(0,9),(1,8),(1,9),(4,3),(5,2),(5,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[2,1,6,3,5,4,8,7,10,9]=>([(0,6),(0,7),(1,6),(1,7),(2,8),(2,9),(3,8),(3,9),(6,8),(6,9),(7,2),(7,3),(8,4),(8,5),(9,4),(9,5)],10)
[2,1,6,3,5,4,10,7,9,8]=>([(0,6),(0,7),(1,6),(1,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,4),(7,5),(9,2),(9,3)],10)
[2,1,8,7,5,3,4,6,10,9]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,2),(7,3)],10)
[2,1,10,7,5,9,4,3,6,8]=>([(0,4),(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(5,9),(6,9),(7,2),(7,9),(8,2),(8,3),(9,3)],10)
[2,1,10,8,5,3,6,4,9,7]=>([(0,4),(0,5),(0,7),(0,8),(1,4),(1,5),(1,7),(1,8),(2,3),(2,9),(5,9),(6,3),(6,9),(7,6),(8,2),(8,6)],10)
[2,1,8,3,4,6,7,5,10,9]=>([(0,6),(0,7),(1,6),(1,7),(2,8),(2,9),(3,8),(3,9),(4,3),(5,2),(5,4),(6,5),(7,8),(7,9)],10)
[2,1,10,9,4,6,7,3,5,8]=>([(0,5),(0,6),(0,8),(0,9),(1,5),(1,6),(1,8),(1,9),(2,3),(3,4),(7,4),(8,7),(9,2),(9,7)],10)
[2,1,10,3,9,6,4,8,5,7]=>([(0,8),(0,9),(1,8),(1,9),(3,6),(4,6),(4,7),(5,3),(5,7),(9,2),(9,4),(9,5)],10)
[2,1,10,3,4,5,7,8,9,6]=>([(0,8),(0,9),(1,8),(1,9),(4,7),(5,6),(6,2),(7,3),(7,5),(9,4)],10)
[4,1,3,2,6,5,8,7,10,9]=>([(0,8),(0,9),(1,2),(1,3),(2,8),(2,9),(3,8),(3,9),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[4,1,3,2,6,5,10,7,9,8]=>([(0,8),(0,9),(1,4),(1,5),(4,8),(4,9),(5,8),(5,9),(7,2),(7,3),(8,6),(8,7),(9,6),(9,7)],10)
[4,1,3,2,8,5,7,6,10,9]=>([(0,8),(0,9),(1,2),(1,3),(2,8),(2,9),(3,8),(3,9),(4,6),(4,7),(5,6),(5,7),(8,6),(8,7),(9,4),(9,5)],10)
[4,1,3,2,10,9,7,5,6,8]=>([(0,3),(0,4),(1,6),(1,7),(1,8),(1,9),(2,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(8,2),(9,5)],10)
[4,1,3,2,10,5,6,8,9,7]=>([(0,8),(0,9),(1,4),(1,5),(4,8),(4,9),(5,8),(5,9),(6,3),(7,2),(7,6),(9,7)],10)
[6,5,3,1,2,4,10,7,9,8]=>([(0,8),(0,9),(1,8),(1,9),(2,7),(3,6),(6,7),(7,8),(7,9),(9,4),(9,5)],10)
[8,5,3,7,2,1,4,6,10,9]=>([(0,7),(1,7),(2,8),(2,9),(3,5),(3,7),(4,5),(4,6),(5,8),(5,9),(6,8),(6,9),(7,6)],10)
[10,5,3,7,2,9,4,1,6,8]=>([(1,9),(2,6),(2,7),(3,5),(3,9),(4,5),(4,6),(5,7),(5,8),(6,9),(9,8)],10)
[10,5,3,8,2,1,6,4,9,7]=>([(1,7),(1,9),(2,7),(2,9),(3,5),(3,9),(4,5),(4,7),(4,9),(5,8),(7,6),(7,8),(9,6),(9,8)],10)
[8,6,3,1,4,2,7,5,10,9]=>([(0,9),(1,7),(1,8),(2,5),(3,4),(3,5),(4,6),(4,9),(5,6),(5,9),(6,7),(6,8),(9,7),(9,8)],10)
[10,6,3,9,4,2,7,1,5,8]=>([(1,8),(2,8),(2,9),(3,6),(3,9),(4,5),(4,6),(5,8),(5,9),(8,7),(9,7)],10)
[10,6,3,1,9,2,4,8,5,7]=>([(1,8),(1,9),(2,6),(2,7),(2,9),(3,4),(3,9),(4,8),(5,7),(8,5),(8,6)],10)
[10,7,3,1,4,5,2,8,9,6]=>([(1,9),(2,7),(3,4),(3,7),(4,8),(4,9),(6,8),(6,9),(7,6),(9,5)],10)
[6,1,2,4,5,3,8,7,10,9]=>([(0,8),(0,9),(1,5),(2,8),(2,9),(3,8),(3,9),(4,3),(5,2),(5,4),(8,6),(8,7),(9,6),(9,7)],10)
[6,1,2,4,5,3,10,7,9,8]=>([(0,8),(0,9),(1,7),(4,8),(4,9),(5,8),(5,9),(6,5),(7,4),(7,6),(9,2),(9,3)],10)
[8,7,2,4,5,1,3,6,10,9]=>([(0,8),(0,9),(1,8),(1,9),(2,6),(3,4),(3,6),(4,5),(5,7),(6,7),(7,8),(7,9)],10)
[10,7,2,4,5,9,3,1,6,8]=>([(1,9),(2,7),(2,8),(3,4),(3,5),(4,6),(5,9),(6,7),(6,9),(9,8)],10)
[10,8,2,4,5,1,6,3,9,7]=>([(1,9),(2,6),(2,7),(3,4),(3,6),(4,5),(5,7),(6,8),(6,9),(7,8),(7,9)],10)
[8,1,7,4,2,6,3,5,10,9]=>([(0,8),(0,9),(1,2),(1,4),(1,5),(2,8),(2,9),(3,6),(4,6),(4,7),(5,3),(5,7),(6,8),(6,9),(7,8),(7,9)],10)
[10,9,7,4,2,6,3,1,5,8]=>([(2,9),(3,8),(4,7),(4,9),(5,6),(5,7),(6,9),(7,8),(9,8)],10)
[10,1,8,4,9,6,2,3,5,7]=>([(1,4),(1,5),(1,6),(2,9),(3,8),(4,7),(5,3),(6,2),(6,7),(6,8),(8,9)],10)
[10,1,8,4,2,5,7,3,9,6]=>([(1,2),(1,4),(1,6),(2,8),(3,9),(4,9),(5,7),(5,9),(6,5),(6,8),(8,3),(8,7)],10)
[8,1,2,3,5,6,7,4,10,9]=>([(0,8),(0,9),(1,6),(2,8),(2,9),(3,8),(3,9),(4,5),(5,2),(6,7),(7,3),(7,4)],10)
[10,9,2,3,5,6,7,1,4,8]=>([(2,4),(3,8),(4,7),(4,8),(5,9),(6,5),(7,6),(8,9)],10)
[10,1,9,3,5,6,2,8,4,7]=>([(1,2),(1,4),(1,6),(3,7),(3,9),(4,7),(4,8),(5,3),(6,5),(6,8),(8,9)],10)
[10,1,2,9,5,3,7,8,4,6]=>([(1,7),(4,8),(4,9),(5,8),(6,5),(6,9),(7,3),(7,4),(7,6),(9,2)],10)
[10,9,7,6,5,4,3,8,2,1]=>([(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[3,2,4,1,5,6,7,8,9,10]=>([(0,9),(1,8),(2,8),(4,5),(5,7),(6,4),(7,3),(8,9),(9,6)],10)
[3,4,2,5,1,6,7,8,9,10]=>([(0,9),(1,8),(2,4),(4,8),(5,7),(6,5),(7,3),(8,9),(9,6)],10)
[4,3,5,2,6,1,7,8,9,10]=>([(0,7),(1,7),(2,8),(3,9),(4,6),(6,5),(7,9),(8,4),(9,8)],10)
[4,5,3,6,2,7,1,8,9,10]=>([(0,8),(1,9),(2,7),(3,4),(4,9),(5,6),(7,8),(8,5),(9,7)],10)
[5,4,6,3,7,2,8,1,9,10]=>([(0,6),(1,6),(2,9),(3,7),(4,8),(6,8),(7,9),(8,7),(9,5)],10)
[2,1,4,3,6,5,10,7,8,9]=>([(0,8),(0,9),(1,8),(1,9),(2,3),(5,2),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[2,1,4,3,8,5,6,7,10,9]=>([(0,8),(0,9),(1,8),(1,9),(2,3),(3,4),(3,5),(6,2),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[2,1,4,3,10,9,6,5,8,7]=>([(0,8),(0,9),(1,8),(1,9),(6,4),(6,5),(7,4),(7,5),(8,2),(8,3),(8,6),(8,7),(9,2),(9,3),(9,6),(9,7)],10)
[2,1,4,3,10,5,6,7,8,9]=>([(0,7),(0,8),(1,7),(1,8),(3,5),(4,3),(5,2),(7,6),(7,9),(8,6),(8,9),(9,4)],10)
[2,1,6,3,4,5,8,7,10,9]=>([(0,6),(0,9),(1,6),(1,9),(2,3),(3,7),(3,8),(6,2),(7,4),(7,5),(8,4),(8,5),(9,7),(9,8)],10)
[2,1,6,3,4,5,10,7,8,9]=>([(0,8),(0,9),(1,8),(1,9),(3,6),(3,7),(4,3),(5,2),(7,5),(8,4),(9,6),(9,7)],10)
[2,1,10,7,4,9,6,3,8,5]=>([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,9),(6,4),(6,9),(7,3),(7,9),(8,2),(8,3),(8,4)],10)
[2,1,10,9,4,3,6,7,8,5]=>([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,3),(5,2),(8,4),(8,5),(9,4),(9,5)],10)
[2,1,8,3,4,5,6,7,10,9]=>([(0,8),(0,9),(1,8),(1,9),(2,6),(2,7),(3,5),(4,3),(5,2),(8,6),(8,7),(9,4)],10)
[2,1,10,9,4,5,6,3,8,7]=>([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,3),(3,4),(3,5),(8,2),(9,4),(9,5)],10)
[2,1,10,3,8,5,4,7,6,9]=>([(0,7),(0,8),(1,7),(1,8),(2,9),(3,5),(3,6),(4,5),(4,6),(5,9),(6,9),(8,2),(8,3),(8,4)],10)
[4,1,2,3,6,5,10,7,8,9]=>([(0,8),(0,9),(1,4),(3,8),(3,9),(4,3),(5,2),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[4,1,2,3,8,5,6,7,10,9]=>([(0,8),(0,9),(1,5),(2,8),(2,9),(3,6),(3,7),(4,3),(5,2),(8,4),(9,6),(9,7)],10)
[4,1,2,3,10,9,6,5,8,7]=>([(0,2),(1,6),(1,7),(1,8),(1,9),(2,3),(3,6),(3,7),(3,8),(3,9),(8,4),(8,5),(9,4),(9,5)],10)
[6,5,2,1,4,3,8,7,10,9]=>([(0,8),(0,9),(1,8),(1,9),(2,4),(2,5),(3,4),(3,5),(4,8),(4,9),(5,8),(5,9),(8,6),(8,7),(9,6),(9,7)],10)
[6,5,2,1,4,3,10,7,8,9]=>([(0,8),(0,9),(1,8),(1,9),(2,6),(2,7),(3,6),(3,7),(4,5),(6,8),(6,9),(7,8),(7,9),(9,4)],10)
[8,5,2,7,4,1,6,3,10,9]=>([(0,8),(0,9),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(4,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[10,5,2,7,4,9,6,1,8,3]=>([(1,6),(1,7),(2,5),(2,9),(3,4),(3,5),(3,6),(4,7),(4,8),(6,8),(6,9),(7,9)],10)
[10,5,2,9,4,1,6,7,8,3]=>([(1,8),(1,9),(2,7),(2,9),(3,4),(3,7),(3,8),(4,9),(5,6),(9,5)],10)
[8,7,2,1,4,5,6,3,10,9]=>([(0,8),(0,9),(1,8),(1,9),(2,6),(2,7),(3,6),(3,7),(4,5),(5,8),(5,9),(6,8),(6,9),(7,4)],10)
[10,7,2,9,4,5,6,1,8,3]=>([(1,8),(1,9),(2,7),(2,9),(3,4),(3,7),(3,8),(4,6),(5,9),(6,5)],10)
[10,9,2,1,8,5,4,7,6,3]=>([(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(8,4),(8,5),(9,4),(9,5)],10)
[10,9,2,1,4,5,6,7,8,3]=>([(2,8),(2,9),(3,8),(3,9),(4,7),(6,5),(7,6),(9,4)],10)
[6,1,2,3,4,5,8,7,10,9]=>([(0,8),(0,9),(1,5),(2,8),(2,9),(3,4),(4,2),(5,3),(8,6),(8,7),(9,6),(9,7)],10)
[8,7,2,3,4,1,6,5,10,9]=>([(0,8),(0,9),(1,8),(1,9),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9)],10)
[10,7,2,3,4,9,6,1,8,5]=>([(1,4),(2,8),(2,9),(3,7),(3,9),(4,6),(5,9),(6,5),(6,7),(6,8)],10)
[10,9,2,3,4,1,6,7,8,5]=>([(2,8),(2,9),(3,4),(4,7),(5,6),(7,8),(7,9),(9,5)],10)
[8,1,6,3,2,5,4,7,10,9]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,9),(3,7),(3,8),(4,7),(4,8),(7,9),(8,9),(9,5),(9,6)],10)
[10,9,6,3,2,5,4,1,8,7]=>([(2,8),(2,9),(3,8),(3,9),(4,6),(4,7),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9)],10)
[10,1,6,3,8,5,2,7,4,9]=>([(1,3),(1,4),(1,5),(2,8),(3,7),(3,8),(4,6),(4,8),(5,2),(5,6),(5,7),(6,9),(7,9),(8,9)],10)
[10,1,8,3,2,5,6,7,4,9]=>([(1,3),(1,4),(1,5),(2,9),(3,9),(4,7),(4,8),(5,7),(5,8),(6,2),(7,6),(8,9)],10)
[10,9,2,3,4,5,6,1,8,7]=>([(2,4),(3,8),(3,9),(4,7),(5,8),(5,9),(6,5),(7,6)],10)
[10,1,8,3,4,5,2,7,6,9]=>([(1,2),(1,4),(1,6),(2,9),(3,7),(3,8),(4,7),(4,8),(5,3),(6,5),(7,9),(8,9)],10)
[10,1,2,7,4,3,6,5,8,9]=>([(1,6),(2,9),(4,7),(4,8),(5,7),(5,8),(6,2),(6,4),(6,5),(7,9),(8,9),(9,3)],10)
[1,2,9,7,5,3,10,8,6,4]=>([(0,6),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,1),(5,7),(5,8),(5,9),(6,2),(6,3),(6,4),(6,5)],10)
[2,4,1,5,6,7,8,10,3,9]=>([(0,8),(0,9),(1,3),(1,8),(3,9),(4,6),(5,4),(6,2),(6,7),(8,7),(9,5)],10)
[1,3,5,7,2,9,4,6,8,10]=>([(0,2),(0,4),(1,3),(1,9),(2,1),(2,6),(3,7),(3,8),(4,6),(4,8),(6,9),(7,5),(8,5),(9,7)],10)
[1,3,5,7,2,9,4,10,6,8]=>([(0,2),(0,4),(1,3),(1,8),(2,1),(2,9),(3,6),(3,7),(4,7),(4,9),(7,5),(8,6),(9,5),(9,8)],10)
[1,3,5,7,2,8,4,9,6,10]=>([(0,3),(0,4),(1,2),(1,8),(2,7),(3,1),(3,9),(4,7),(4,9),(6,5),(7,6),(8,5),(9,6),(9,8)],10)
[1,3,5,6,2,7,4,9,8,10]=>([(0,3),(0,4),(1,2),(2,9),(3,1),(3,8),(4,8),(4,9),(6,5),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[1,3,4,5,2,7,6,9,8,10]=>([(0,2),(0,4),(1,3),(2,1),(3,8),(3,9),(4,8),(4,9),(6,5),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[1,10,9,8,7,6,5,3,2,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(7,9),(8,9)],10)
[1,10,9,8,7,6,4,3,2,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(6,9),(7,9),(8,9)],10)
[1,10,9,8,7,5,4,3,2,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(5,9),(6,9),(7,9),(8,9)],10)
[1,10,9,8,6,5,4,3,2,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[1,10,9,7,6,5,4,3,2,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[1,10,8,7,6,5,4,3,2,9]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[9,10,2,3,4,5,6,7,1,8]=>([(0,9),(1,8),(2,4),(3,9),(5,7),(6,5),(7,3),(8,6)],10)
[8,9,10,2,3,4,5,6,1,7]=>([(0,9),(1,8),(2,7),(4,9),(5,4),(6,5),(7,6),(8,3)],10)
[7,8,9,10,2,3,4,5,1,6]=>([(0,9),(1,7),(2,8),(4,9),(5,4),(6,3),(7,5),(8,6)],10)
[5,6,7,8,9,10,2,3,1,4]=>([(0,9),(1,8),(2,4),(4,9),(5,7),(6,5),(7,3),(8,6)],10)
[4,5,6,7,8,9,10,2,1,3]=>([(0,9),(1,9),(2,8),(4,5),(5,7),(6,4),(7,3),(8,6)],10)
[8,10,3,4,5,6,7,2,1,9]=>([(0,9),(1,9),(2,8),(3,4),(3,9),(5,9),(6,7),(7,5),(8,6)],10)
[3,10,2,1,5,6,7,8,9,4]=>([(0,8),(0,9),(1,8),(1,9),(2,4),(2,8),(2,9),(5,7),(6,5),(7,3),(9,6)],10)
[3,9,1,4,5,6,7,8,2,10]=>([(0,4),(0,8),(1,3),(1,8),(2,9),(3,9),(4,9),(5,6),(6,2),(7,5),(8,7)],10)
[2,1,4,3,10,5,7,6,9,8]=>([(0,8),(0,9),(1,8),(1,9),(2,6),(2,7),(3,6),(3,7),(5,2),(5,3),(8,4),(8,5),(9,4),(9,5)],10)
[2,1,4,3,9,6,10,5,8,7]=>([(0,8),(0,9),(1,8),(1,9),(5,4),(6,2),(6,3),(7,2),(7,3),(7,4),(8,5),(8,6),(8,7),(9,5),(9,6),(9,7)],10)
[2,1,8,3,5,4,7,6,10,9]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,2),(7,3)],10)
[2,1,10,3,5,4,7,6,9,8]=>([(0,6),(0,7),(1,6),(1,7),(2,8),(2,9),(3,8),(3,9),(7,2),(7,3),(8,4),(8,5),(9,4),(9,5)],10)
[2,1,9,6,10,3,5,4,8,7]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,8),(2,9),(3,8),(3,9),(5,2),(5,3),(6,4),(7,4),(7,8),(7,9)],10)
[2,1,7,4,8,3,6,5,10,9]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,4),(6,2),(6,3),(7,2),(7,3),(7,4)],10)
[2,1,7,4,10,3,6,5,9,8]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(3,8),(3,9),(4,8),(4,9),(5,2),(5,8),(5,9),(6,3),(6,4),(7,2),(7,3),(7,4)],10)
[2,1,10,3,6,5,9,4,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,8),(2,9),(3,5),(3,8),(3,9),(4,5),(4,8),(4,9),(7,2),(7,3),(7,4)],10)
[2,1,9,4,8,5,10,3,7,6]=>([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,9),(3,4),(3,5),(3,9),(6,9),(7,2),(7,3),(8,4),(8,5)],10)
[4,1,3,2,10,5,7,6,9,8]=>([(0,8),(0,9),(1,2),(1,3),(2,8),(2,9),(3,8),(3,9),(4,6),(4,7),(5,6),(5,7),(9,4),(9,5)],10)
[4,1,3,2,9,6,10,5,8,7]=>([(0,7),(0,8),(0,9),(1,2),(1,3),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(7,6),(8,4),(8,5),(9,4),(9,5),(9,6)],10)
[6,1,3,2,5,4,8,7,10,9]=>([(0,8),(0,9),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5)],10)
[6,1,3,2,5,4,10,7,9,8]=>([(0,8),(0,9),(1,4),(1,5),(4,6),(4,7),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9),(9,2),(9,3)],10)
[8,1,3,2,5,4,7,6,10,9]=>([(0,8),(0,9),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,8),(4,9),(5,8),(5,9),(6,4),(6,5),(7,4),(7,5)],10)
[9,6,10,1,3,2,5,4,8,7]=>([(0,5),(1,5),(1,8),(1,9),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,8),(6,9),(7,8),(7,9)],10)
[7,4,8,1,3,2,6,5,10,9]=>([(0,5),(1,3),(1,4),(2,5),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,6),(5,7),(8,6),(8,7),(9,6),(9,7)],10)
[7,4,10,1,3,2,6,5,9,8]=>([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(8,6),(8,7),(9,6),(9,7)],10)
[10,1,3,2,6,5,9,4,8,7]=>([(1,2),(1,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(5,8),(5,9),(6,4),(6,8),(6,9),(7,4),(7,8),(7,9)],10)
[9,4,8,5,10,1,3,2,7,6]=>([(0,9),(1,4),(1,5),(2,3),(2,6),(3,9),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(6,9)],10)
[5,2,6,1,4,3,8,7,10,9]=>([(0,7),(1,3),(1,4),(2,3),(2,4),(2,7),(3,8),(3,9),(4,8),(4,9),(7,8),(7,9),(8,5),(8,6),(9,5),(9,6)],10)
[5,2,6,1,4,3,10,7,9,8]=>([(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(9,3),(9,4)],10)
[5,2,8,1,4,3,7,6,10,9]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,8),(2,9),(3,6),(3,7),(4,8),(4,9),(5,8),(5,9),(8,6),(8,7),(9,6),(9,7)],10)
[5,2,10,1,4,3,7,6,9,8]=>([(0,7),(0,8),(0,9),(1,3),(1,4),(2,3),(2,4),(2,7),(3,8),(3,9),(4,8),(4,9),(8,5),(8,6),(9,5),(9,6)],10)
[5,2,9,6,10,1,4,3,8,7]=>([(0,4),(0,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(4,8),(4,9),(5,8),(5,9),(6,3),(7,3),(7,8),(7,9)],10)
[8,1,4,3,7,2,6,5,10,9]=>([(0,8),(0,9),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[10,1,4,3,7,2,6,5,9,8]=>([(1,2),(1,3),(1,4),(2,8),(2,9),(3,5),(3,8),(3,9),(4,5),(4,8),(4,9),(5,6),(5,7),(8,6),(8,7),(9,6),(9,7)],10)
[9,2,6,5,10,1,4,3,8,7]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9)],10)
[10,1,4,3,8,5,9,2,7,6]=>([(1,2),(1,3),(1,4),(2,6),(2,7),(3,8),(3,9),(4,8),(4,9),(8,5),(9,5),(9,6),(9,7)],10)
[7,2,6,3,8,1,5,4,10,9]=>([(0,9),(1,5),(1,6),(2,3),(2,4),(3,9),(4,5),(4,6),(4,9),(5,7),(5,8),(6,7),(6,8),(9,7),(9,8)],10)
[7,2,6,3,10,1,5,4,9,8]=>([(0,7),(0,8),(0,9),(1,5),(1,6),(2,3),(2,4),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(5,8),(5,9),(6,8),(6,9)],10)
[10,1,5,4,9,2,6,3,8,7]=>([(1,2),(1,3),(1,5),(2,6),(2,9),(3,6),(3,9),(4,7),(4,8),(5,4),(5,9),(9,7),(9,8)],10)
[8,3,10,1,5,4,9,2,7,6]=>([(0,4),(0,7),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,8),(3,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[8,3,9,2,7,4,10,1,6,5]=>([(0,4),(1,5),(1,6),(2,7),(2,8),(3,4),(3,7),(3,8),(4,9),(7,9),(8,5),(8,6),(8,9)],10)
[1,2,3,4,5,6,8,9,7,10]=>([(0,7),(1,9),(2,9),(3,5),(4,3),(5,8),(6,1),(7,4),(8,2),(8,6)],10)
[10,1,2,3,4,5,9,7,6,8]=>([(1,7),(3,9),(4,9),(5,6),(6,8),(7,5),(8,2),(8,3),(8,4)],10)
[10,1,2,3,4,9,6,7,5,8]=>([(1,7),(3,9),(4,9),(5,8),(6,4),(7,5),(8,2),(8,3),(8,6)],10)
[9,1,2,3,10,5,6,7,4,8]=>([(0,9),(1,6),(2,8),(3,8),(4,5),(5,2),(6,7),(7,3),(7,4),(7,9)],10)
[10,1,2,9,4,5,6,7,3,8]=>([(1,8),(3,9),(4,9),(5,7),(6,4),(7,6),(8,2),(8,3),(8,5)],10)
[10,1,9,3,4,5,6,7,2,8]=>([(1,2),(1,4),(1,8),(3,9),(4,9),(5,7),(6,5),(7,3),(8,6)],10)
[8,1,2,3,4,5,10,6,9,7]=>([(0,8),(0,9),(1,5),(3,4),(4,6),(5,3),(6,7),(6,9),(7,2),(7,8)],10)
[7,1,2,3,4,9,5,6,10,8]=>([(0,8),(0,9),(1,5),(2,7),(2,9),(3,6),(4,2),(5,3),(6,4),(6,8),(8,7)],10)
[6,1,2,3,9,4,5,7,10,8]=>([(0,8),(0,9),(1,5),(2,9),(4,2),(5,6),(6,4),(6,8),(8,7),(9,3),(9,7)],10)
[5,1,2,10,3,4,6,7,9,8]=>([(0,8),(0,9),(1,6),(4,9),(5,4),(6,5),(6,8),(7,2),(7,3),(9,7)],10)
[4,1,9,2,3,5,6,7,10,8]=>([(0,8),(0,9),(1,5),(1,8),(3,9),(4,6),(5,3),(6,2),(6,7),(8,7),(9,4)],10)
[3,9,1,2,4,5,6,7,10,8]=>([(0,3),(1,4),(1,9),(3,9),(4,8),(5,6),(6,7),(7,2),(7,8),(9,5)],10)
[10,2,1,3,4,5,6,7,9,8]=>([(1,9),(2,9),(5,6),(6,8),(7,5),(8,3),(8,4),(9,7)],10)
[1,2,3,4,5,7,8,6,9,10]=>([(0,7),(1,9),(2,9),(4,5),(5,8),(6,1),(7,4),(8,2),(8,6),(9,3)],10)
[1,2,3,4,5,7,8,9,6,10]=>([(0,7),(1,9),(2,9),(3,4),(4,8),(5,6),(6,1),(7,3),(8,2),(8,5)],10)
[2,4,5,6,1,7,8,9,10,3]=>([(0,8),(0,9),(1,7),(1,8),(3,9),(4,5),(5,2),(6,3),(7,6),(9,4)],10)
[2,3,5,6,1,7,8,9,10,4]=>([(0,8),(0,9),(1,7),(3,9),(4,5),(5,2),(6,3),(7,6),(7,8),(9,4)],10)
[9,8,10,1,4,5,6,7,2,3]=>([(0,9),(1,9),(2,7),(2,8),(5,6),(6,4),(7,5),(8,3)],10)
[7,1,10,9,2,3,4,5,6,8]=>([(0,7),(0,8),(0,9),(1,6),(1,8),(1,9),(2,7),(3,5),(4,3),(5,2),(6,4)],10)
[6,7,9,1,2,3,4,5,10,8]=>([(0,7),(1,6),(2,9),(3,8),(3,9),(4,3),(5,4),(6,5),(7,2),(7,8)],10)
[2,8,1,9,10,3,4,5,6,7]=>([(0,8),(0,9),(1,4),(1,8),(4,9),(5,6),(6,3),(7,5),(8,7),(9,2)],10)
[8,7,1,10,2,3,4,5,6,9]=>([(0,8),(0,9),(1,8),(1,9),(2,7),(2,9),(3,8),(4,6),(5,4),(6,3),(7,5)],10)
[1,5,2,8,6,3,10,9,7,4]=>([(0,2),(0,4),(2,5),(2,6),(3,1),(3,7),(3,8),(3,9),(4,3),(4,5),(4,6),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[4,1,5,2,8,6,3,10,9,7]=>([(0,7),(1,3),(1,7),(2,5),(2,8),(2,9),(3,2),(3,4),(3,6),(4,8),(4,9),(6,5),(6,8),(6,9),(7,4),(7,6)],10)
[1,7,5,2,8,6,3,10,9,4]=>([(0,2),(0,3),(0,5),(2,7),(3,6),(3,7),(4,1),(4,8),(4,9),(5,4),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9)],10)
[4,1,7,5,2,8,3,10,9,6]=>([(0,7),(0,8),(1,2),(1,7),(1,8),(2,3),(2,9),(3,4),(3,5),(3,6),(7,9),(8,4),(8,9),(9,5),(9,6)],10)
[6,4,1,7,5,2,8,3,10,9]=>([(0,8),(1,5),(1,8),(2,3),(2,5),(2,8),(3,4),(3,9),(4,6),(4,7),(5,9),(8,9),(9,6),(9,7)],10)
[3,4,1,7,2,8,5,10,9,6]=>([(0,4),(1,3),(1,7),(3,8),(3,9),(4,7),(4,9),(7,8),(8,5),(8,6),(9,2),(9,5),(9,6)],10)
[3,6,4,1,7,2,8,5,10,9]=>([(0,4),(0,9),(1,2),(1,3),(2,9),(3,7),(3,9),(4,7),(4,8),(7,5),(7,6),(8,5),(8,6),(9,8)],10)
[1,5,2,9,8,6,3,10,7,4]=>([(0,2),(0,4),(2,5),(2,6),(2,7),(3,1),(3,8),(3,9),(4,3),(4,5),(4,6),(4,7),(5,9),(6,9),(7,8),(7,9)],10)
[4,1,5,2,9,8,6,3,10,7]=>([(0,8),(1,3),(1,8),(2,6),(2,9),(3,2),(3,4),(3,5),(3,7),(4,9),(5,9),(7,6),(7,9),(8,4),(8,5),(8,7)],10)
[1,7,5,2,9,6,3,10,8,4]=>([(0,2),(0,3),(0,5),(2,7),(2,8),(3,6),(3,7),(4,1),(4,8),(4,9),(5,4),(5,6),(5,7),(6,8),(6,9),(7,9)],10)
[4,1,7,5,2,9,3,10,8,6]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,9),(3,4),(3,5),(3,8),(6,8),(6,9),(7,5),(7,8),(7,9),(9,4)],10)
[4,1,9,6,5,2,7,3,10,8]=>([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,9),(3,4),(3,8),(5,9),(6,9),(7,8),(9,4),(9,8)],10)
[3,4,1,7,2,9,5,10,8,6]=>([(0,4),(1,3),(1,8),(3,7),(3,9),(4,8),(4,9),(7,6),(8,5),(8,7),(9,2),(9,5),(9,6)],10)
[3,6,1,9,4,2,7,5,10,8]=>([(0,3),(0,7),(1,2),(1,5),(1,7),(2,6),(2,9),(3,5),(3,9),(5,8),(6,4),(6,8),(7,6),(7,9),(9,4),(9,8)],10)
[1,8,7,5,2,9,6,3,10,4]=>([(0,2),(0,3),(0,4),(0,6),(2,9),(3,9),(4,7),(4,9),(5,1),(5,8),(6,5),(6,7),(6,9),(7,8),(9,8)],10)
[4,1,8,7,5,2,9,3,10,6]=>([(0,6),(0,7),(0,8),(1,2),(1,6),(1,7),(1,8),(2,3),(2,9),(3,4),(3,5),(6,9),(7,9),(8,4),(8,9),(9,5)],10)
[6,4,1,8,5,2,9,3,10,7]=>([(0,7),(0,8),(1,5),(1,7),(2,3),(2,5),(2,7),(3,4),(3,9),(4,6),(4,8),(5,8),(5,9),(7,9),(9,6)],10)
[7,6,4,1,8,5,2,9,3,10]=>([(0,9),(1,9),(2,6),(2,9),(3,4),(3,6),(3,9),(4,5),(4,8),(5,7),(6,8),(8,7),(9,8)],10)
[3,4,1,8,7,2,9,5,10,6]=>([(0,4),(1,3),(1,5),(1,6),(3,8),(3,9),(4,5),(4,6),(4,8),(5,9),(6,9),(8,2),(8,7),(9,7)],10)
[3,6,4,1,8,2,9,5,10,7]=>([(0,4),(0,9),(1,2),(1,3),(2,6),(2,9),(3,8),(3,9),(4,7),(4,8),(7,5),(8,5),(8,6),(9,7)],10)
[3,7,6,4,1,8,2,9,5,10]=>([(0,5),(0,9),(1,2),(1,3),(1,4),(2,9),(3,9),(4,6),(4,9),(5,6),(5,7),(6,8),(7,8),(9,7)],10)
[1,9,6,5,2,7,3,10,8,4]=>([(0,2),(0,3),(0,4),(0,6),(2,9),(3,9),(4,8),(5,1),(5,7),(5,8),(6,5),(6,9),(9,7),(9,8)],10)
[6,1,9,4,2,7,3,10,8,5]=>([(0,7),(0,9),(1,2),(1,4),(1,7),(2,5),(2,9),(3,5),(3,6),(3,8),(4,3),(4,9),(7,8),(9,6),(9,8)],10)
[5,4,1,9,6,2,7,3,10,8]=>([(0,7),(0,8),(1,7),(1,8),(2,3),(2,7),(2,8),(3,4),(3,6),(4,5),(4,9),(6,5),(6,9),(7,9),(8,6)],10)
[9,3,1,6,2,7,4,10,8,5]=>([(0,9),(1,4),(1,6),(2,6),(2,8),(4,7),(4,8),(6,7),(7,5),(7,9),(8,3),(8,5),(8,9)],10)
[9,5,3,1,6,2,7,4,10,8]=>([(0,9),(1,8),(2,6),(2,8),(3,4),(3,8),(4,6),(4,7),(6,5),(6,9),(7,5),(7,9),(8,7)],10)
[6,1,8,5,2,9,7,3,10,4]=>([(0,6),(0,9),(1,3),(1,4),(1,6),(3,8),(3,9),(4,5),(4,8),(4,9),(5,2),(5,7),(6,8),(8,7),(9,7)],10)
[6,4,1,8,2,9,7,3,10,5]=>([(0,7),(0,9),(1,5),(1,7),(1,9),(2,3),(2,7),(3,4),(3,6),(3,9),(4,5),(4,8),(6,8),(7,6),(9,8)],10)
[8,5,4,1,6,2,9,3,10,7]=>([(0,9),(1,8),(2,8),(3,4),(3,8),(4,5),(4,9),(5,6),(5,7),(8,7),(8,9),(9,6)],10)
[5,7,4,1,8,6,2,9,3,10]=>([(0,7),(0,8),(1,4),(1,7),(2,3),(2,7),(2,8),(3,5),(3,9),(4,8),(5,6),(7,9),(8,9),(9,6)],10)
[3,6,1,8,2,9,7,4,10,5]=>([(0,4),(0,8),(1,3),(1,7),(3,6),(3,8),(4,5),(4,6),(4,7),(5,9),(6,9),(7,2),(7,9),(8,5)],10)
[5,8,3,1,6,2,9,4,10,7]=>([(0,7),(0,8),(1,3),(1,8),(2,4),(2,8),(3,9),(4,7),(4,9),(7,5),(7,6),(8,6),(8,9),(9,5)],10)
[5,3,7,1,8,6,2,9,4,10]=>([(0,7),(0,8),(1,3),(1,5),(1,8),(2,6),(2,7),(2,8),(3,6),(3,9),(5,9),(6,4),(7,5),(8,9),(9,4)],10)
[4,3,8,1,9,5,2,6,10,7]=>([(0,8),(0,9),(1,8),(1,9),(2,4),(2,7),(2,9),(4,6),(6,3),(6,5),(7,5),(8,7),(9,6)],10)
[7,4,3,5,1,8,2,9,6,10]=>([(0,9),(1,6),(2,6),(3,4),(3,9),(4,7),(4,8),(6,8),(6,9),(7,5),(8,5),(9,7)],10)
[9,6,2,1,3,7,4,10,8,5]=>([(0,7),(1,7),(2,9),(3,6),(4,5),(4,8),(4,9),(6,8),(6,9),(7,4),(7,6)],10)
[5,9,2,1,6,3,7,4,10,8]=>([(0,6),(0,8),(1,6),(1,8),(2,3),(2,8),(3,9),(4,7),(4,9),(5,7),(5,9),(6,4),(6,5),(8,5)],10)
[6,8,2,1,3,9,7,4,10,5]=>([(0,7),(1,7),(2,3),(2,6),(3,8),(4,5),(4,9),(6,9),(7,4),(7,6),(7,8),(8,9)],10)
[8,2,5,1,6,3,9,4,10,7]=>([(0,9),(1,3),(1,6),(2,6),(2,8),(3,8),(4,5),(4,7),(6,4),(6,9),(8,5),(8,9),(9,7)],10)
[2,5,7,1,8,6,3,9,4,10]=>([(0,4),(0,8),(1,5),(1,6),(1,8),(2,7),(3,6),(4,3),(4,5),(5,9),(6,9),(8,2),(8,9),(9,7)],10)
[2,4,8,1,9,5,3,6,10,7]=>([(0,4),(0,9),(1,7),(1,8),(1,9),(3,8),(4,3),(4,7),(6,2),(6,5),(7,6),(8,5),(9,6)],10)
[5,6,4,3,2,1,7,8,9,10]=>([(0,9),(1,9),(2,9),(3,9),(4,5),(5,9),(6,7),(7,8),(9,6)],10)
[6,7,5,4,3,2,1,8,9,10]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,6),(6,9),(7,8),(9,7)],10)
[7,8,9,10,1,5,6,3,4,2]=>([(0,9),(1,5),(1,7),(1,8),(6,2),(7,4),(8,3),(9,6)],10)
[10,9,8,5,7,6,4,3,2,1]=>([(7,8),(7,9)],10)
[10,9,8,4,7,6,5,3,2,1]=>([(6,7),(6,8),(6,9)],10)
[10,9,4,8,7,6,5,3,2,1]=>([(5,6),(5,7),(5,8),(5,9)],10)
[10,3,9,8,7,6,5,4,2,1]=>([(3,4),(3,5),(3,6),(3,7),(3,8),(3,9)],10)
[10,2,9,8,7,6,5,4,3,1]=>([(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9)],10)
[9,10,2,1,6,4,3,5,7,8]=>([(0,4),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(5,3),(6,5),(7,6),(8,6),(9,5)],10)
[7,10,2,1,8,4,3,5,6,9]=>([(0,3),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(4,6),(5,4),(7,5),(8,5),(9,6)],10)
[2,9,1,10,7,4,3,5,6,8]=>([(0,3),(0,7),(0,8),(0,9),(1,4),(1,7),(1,8),(1,9),(2,6),(3,4),(5,2),(7,5),(8,5),(9,6)],10)
[2,8,1,9,4,3,10,5,6,7]=>([(0,4),(0,7),(0,8),(1,5),(1,7),(1,8),(2,3),(4,5),(5,9),(6,2),(7,6),(7,9),(8,6),(8,9)],10)
[10,8,5,2,1,6,3,4,7,9]=>([(1,9),(2,7),(2,9),(3,7),(3,9),(4,6),(5,8),(7,5),(8,6),(9,8)],10)
[9,5,2,1,10,6,3,4,7,8]=>([(0,9),(1,8),(1,9),(2,6),(2,8),(2,9),(3,6),(3,8),(3,9),(5,7),(6,5),(7,4),(8,7)],10)
[10,7,2,1,8,5,3,4,6,9]=>([(1,9),(2,5),(2,7),(2,9),(3,5),(3,7),(3,9),(4,8),(5,8),(7,4),(8,6),(9,6)],10)
[9,2,1,10,7,5,3,4,6,8]=>([(0,9),(1,5),(1,7),(1,8),(1,9),(2,5),(2,7),(2,8),(2,9),(3,6),(5,3),(6,4),(7,6),(8,4)],10)
[2,8,1,9,3,10,5,4,6,7]=>([(0,7),(0,9),(1,5),(1,9),(2,8),(3,8),(5,7),(7,6),(8,4),(9,2),(9,3),(9,6)],10)
[10,6,2,1,7,3,8,4,5,9]=>([(1,9),(2,8),(2,9),(3,8),(3,9),(4,5),(5,7),(6,7),(8,4),(8,6),(9,6)],10)
[9,2,1,10,6,3,7,4,5,8]=>([(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,4),(4,5),(6,5),(7,6),(8,3),(8,6)],10)
[8,2,1,9,3,10,6,4,5,7]=>([(0,9),(1,7),(1,9),(2,7),(2,9),(3,8),(4,5),(5,8),(7,3),(7,4),(7,6),(9,6)],10)
[7,2,1,8,3,9,4,10,5,6]=>([(0,9),(1,6),(1,9),(2,6),(2,9),(3,5),(3,7),(5,4),(6,3),(6,8),(8,7),(9,8)],10)
[10,8,6,3,1,4,2,5,7,9]=>([(1,8),(2,6),(3,7),(4,5),(4,6),(5,9),(6,9),(7,8),(9,7)],10)
[3,9,1,10,6,4,2,5,7,8]=>([(0,4),(0,8),(0,9),(1,3),(1,6),(1,8),(1,9),(3,7),(4,6),(5,2),(7,5),(8,7),(9,5)],10)
[10,7,3,1,8,4,2,5,6,9]=>([(1,9),(2,6),(2,9),(3,4),(3,6),(3,9),(4,8),(5,7),(6,8),(8,5),(9,7)],10)
[9,3,1,10,7,4,2,5,6,8]=>([(0,9),(1,7),(1,8),(1,9),(2,4),(2,7),(2,8),(2,9),(3,6),(4,5),(5,3),(7,5),(8,6)],10)
[8,3,1,9,4,2,10,5,6,7]=>([(0,8),(1,6),(1,8),(2,3),(2,6),(2,8),(3,7),(3,9),(4,5),(6,7),(6,9),(7,4),(8,9)],10)
[10,8,5,1,6,3,2,4,7,9]=>([(1,6),(2,7),(3,4),(3,5),(3,6),(4,9),(5,9),(6,8),(8,7),(9,8)],10)
[9,5,1,10,6,3,2,4,7,8]=>([(0,9),(1,6),(1,9),(2,4),(2,5),(2,6),(2,9),(4,8),(5,8),(6,7),(7,3),(8,7)],10)
[10,7,1,8,5,3,2,4,6,9]=>([(1,9),(2,3),(2,4),(2,5),(2,9),(3,7),(4,8),(5,8),(7,6),(8,7),(9,6)],10)
[9,1,10,7,5,3,2,4,6,8]=>([(0,9),(1,2),(1,3),(1,4),(1,5),(1,9),(2,6),(3,6),(4,7),(5,8),(6,8),(8,7)],10)
[8,3,1,9,2,10,5,4,6,7]=>([(0,9),(1,4),(1,9),(2,7),(2,8),(2,9),(4,5),(4,7),(4,8),(6,3),(7,6),(8,6),(9,5)],10)
[10,6,1,7,3,2,8,4,5,9]=>([(1,6),(2,4),(2,5),(2,6),(3,7),(4,8),(4,9),(5,8),(5,9),(6,9),(8,3),(9,7)],10)
[9,1,10,6,3,2,7,4,5,8]=>([(0,7),(1,2),(1,3),(1,4),(1,7),(2,9),(3,8),(3,9),(4,8),(4,9),(5,6),(8,5),(9,6)],10)
[8,1,9,3,2,10,6,4,5,7]=>([(0,7),(1,3),(1,4),(1,7),(2,5),(3,6),(3,8),(3,9),(4,6),(4,8),(4,9),(6,2),(7,9),(8,5)],10)
[7,1,8,3,2,9,4,10,5,6]=>([(0,8),(1,3),(1,4),(1,8),(3,6),(3,9),(4,6),(4,9),(5,2),(6,5),(6,7),(8,9),(9,7)],10)
[10,8,4,1,5,2,6,3,7,9]=>([(1,8),(2,6),(3,4),(3,6),(4,5),(4,9),(5,7),(6,9),(7,8),(9,7)],10)
[9,4,1,10,5,2,6,3,7,8]=>([(0,9),(1,6),(1,9),(2,4),(2,6),(2,9),(4,5),(4,8),(5,7),(6,8),(7,3),(8,7)],10)
[10,7,1,8,4,2,5,3,6,9]=>([(1,9),(2,4),(2,5),(2,9),(3,7),(4,8),(5,3),(5,8),(7,6),(8,7),(9,6)],10)
[9,1,10,7,4,2,5,3,6,8]=>([(0,9),(1,2),(1,4),(1,5),(1,9),(2,6),(3,8),(4,7),(5,3),(5,6),(6,8),(8,7)],10)
[8,1,9,4,2,10,5,3,6,7]=>([(0,7),(1,4),(1,5),(1,7),(3,8),(4,6),(4,9),(5,3),(5,6),(5,9),(6,8),(7,9),(8,2)],10)
[10,6,1,7,2,8,4,3,5,9]=>([(1,9),(2,5),(2,9),(3,8),(4,8),(5,3),(5,4),(5,7),(7,6),(8,6),(9,7)],10)
[9,1,10,6,2,7,4,3,5,8]=>([(0,9),(1,4),(1,5),(1,9),(2,6),(3,6),(4,7),(5,2),(5,3),(5,7),(6,8),(7,8)],10)
[8,1,9,2,10,6,4,3,5,7]=>([(0,9),(1,5),(1,9),(2,8),(3,6),(4,6),(5,2),(5,3),(5,4),(5,7),(6,8),(9,7)],10)
[7,1,8,2,9,4,3,10,5,6]=>([(0,7),(1,5),(1,7),(3,8),(3,9),(4,8),(4,9),(5,3),(5,4),(5,6),(6,9),(7,6),(8,2)],10)
[10,5,1,6,2,7,3,8,4,9]=>([(1,9),(2,5),(2,9),(3,4),(3,8),(4,6),(5,3),(5,7),(7,8),(8,6),(9,7)],10)
[9,1,10,5,2,6,3,7,4,8]=>([(0,9),(1,2),(1,4),(1,9),(2,6),(3,7),(4,5),(4,6),(5,3),(5,8),(6,8),(8,7)],10)
[8,1,9,2,10,5,3,6,4,7]=>([(0,9),(1,5),(1,9),(2,8),(3,7),(4,2),(4,7),(5,3),(5,4),(5,6),(7,8),(9,6)],10)
[7,1,8,2,9,3,10,5,4,6]=>([(0,9),(1,4),(1,9),(2,6),(3,6),(4,5),(4,7),(5,2),(5,3),(5,8),(7,8),(9,7)],10)
[10,2,3,1,4,5,6,7,8,9]=>([(1,9),(2,4),(4,9),(5,7),(6,5),(7,3),(8,6),(9,8)],10)
[10,9,8,6,5,7,4,3,2,1]=>([(7,9),(8,9)],10)
[10,9,8,4,5,7,6,3,2,1]=>([(6,7),(7,8),(7,9)],10)
[10,9,8,5,4,6,7,3,2,1]=>([(6,9),(7,9),(9,8)],10)
[1,3,4,2,5,6,7,8,9,10]=>([(0,3),(0,8),(2,9),(3,9),(4,6),(5,4),(6,1),(7,5),(8,2),(9,7)],10)
[1,2,4,5,6,3,7,8,9,10]=>([(0,8),(2,9),(3,9),(4,1),(5,6),(6,2),(7,4),(8,3),(8,5),(9,7)],10)
[1,2,3,5,6,7,8,4,9,10]=>([(0,7),(1,9),(2,9),(4,6),(5,4),(6,1),(7,8),(8,2),(8,5),(9,3)],10)
[2,1,5,3,6,7,4,8,9,10]=>([(0,7),(0,9),(1,7),(1,9),(3,6),(4,6),(5,2),(6,5),(7,8),(8,4),(9,3),(9,8)],10)
[1,3,5,6,4,2,7,8,9,10]=>([(0,4),(0,8),(2,9),(3,9),(4,9),(5,1),(6,3),(7,5),(8,2),(8,6),(9,7)],10)
[3,5,2,1,6,4,7,8,9,10]=>([(0,8),(0,9),(1,8),(1,9),(2,4),(2,9),(4,8),(5,3),(6,5),(7,6),(8,7),(9,7)],10)
[2,1,3,6,4,7,8,9,5,10]=>([(0,9),(1,9),(2,7),(3,8),(4,7),(5,4),(5,8),(6,2),(8,6),(9,3),(9,5)],10)
[1,3,4,6,7,2,8,5,9,10]=>([(0,3),(0,6),(2,8),(3,7),(3,8),(4,2),(5,4),(5,7),(6,5),(7,9),(8,9),(9,1)],10)
[3,2,6,1,4,7,8,5,9,10]=>([(0,9),(1,6),(1,9),(2,6),(2,9),(3,8),(5,8),(6,7),(7,3),(8,4),(9,5),(9,7)],10)
[2,4,6,1,7,5,3,8,9,10]=>([(0,6),(0,7),(0,8),(1,5),(1,8),(3,7),(4,2),(5,3),(5,6),(6,9),(7,9),(8,9),(9,4)],10)
[4,6,3,2,1,7,5,8,9,10]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,4),(3,8),(4,9),(5,6),(7,5),(8,7),(9,7)],10)
[1,3,4,2,7,8,5,9,10,6]=>([(0,5),(0,6),(1,7),(1,8),(3,9),(5,7),(5,8),(6,1),(7,3),(8,2),(8,9),(9,4)],10)
[3,2,1,7,4,5,8,9,10,6]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(5,4),(5,7),(6,3),(7,6),(8,5),(9,7)],10)
[1,2,4,5,7,8,9,6,3,10]=>([(0,8),(1,9),(2,9),(3,9),(4,7),(5,6),(6,3),(7,2),(7,5),(8,1),(8,4)],10)
[4,3,7,2,1,5,8,9,6,10]=>([(0,9),(1,9),(2,6),(2,9),(3,6),(3,9),(4,8),(5,8),(6,7),(7,4),(9,5),(9,7)],10)
[1,3,5,7,8,6,4,2,9,10]=>([(0,5),(0,8),(1,9),(2,9),(3,9),(5,9),(6,3),(7,2),(7,6),(8,1),(8,7),(9,4)],10)
[3,5,7,2,1,8,6,4,9,10]=>([(0,4),(0,8),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(4,5),(4,9),(5,7),(6,3),(7,6),(8,6),(9,6)],10)
[5,7,4,3,2,1,8,6,9,10]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,5),(4,8),(5,9),(7,6),(8,7),(9,7)],10)
[2,1,5,3,8,6,9,10,7,4]=>([(0,8),(0,9),(1,8),(1,9),(5,4),(6,5),(7,3),(7,5),(8,6),(8,7),(9,2),(9,6),(9,7)],10)
[1,3,5,6,8,9,4,2,10,7]=>([(0,3),(0,7),(1,8),(2,8),(2,9),(3,8),(3,9),(4,1),(5,6),(6,4),(6,9),(7,2),(7,5)],10)
[3,5,2,8,1,6,9,4,10,7]=>([(0,8),(0,9),(1,3),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(6,4),(7,6),(8,5),(8,6),(9,4),(9,5)],10)
[5,4,8,3,2,1,6,9,10,7]=>([(0,9),(1,9),(2,9),(3,7),(3,9),(4,7),(4,9),(7,8),(8,5),(9,6),(9,8)],10)
[2,4,6,8,1,9,7,5,3,10]=>([(0,4),(0,8),(1,5),(1,6),(1,7),(1,8),(2,3),(2,7),(3,5),(4,2),(4,6),(5,9),(6,9),(7,9),(8,9)],10)
[4,6,8,3,2,1,9,7,5,10]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,4),(3,7),(4,5),(4,9),(5,8),(7,6),(8,6),(9,6)],10)
[6,8,5,4,3,2,1,9,7,10]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,6),(5,8),(6,9),(8,7),(9,7)],10)
[3,5,7,9,2,1,10,8,6,4]=>([(0,3),(0,7),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(4,8),(5,4),(5,9)],10)
[5,7,9,4,3,2,1,10,8,6]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,5),(4,7),(5,6),(5,9),(6,8)],10)
[7,9,6,5,4,3,2,1,10,8]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(7,9)],10)
[2,3,7,5,6,1,10,9,4,8]=>([(0,6),(0,8),(0,9),(1,5),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,3),(5,2),(5,4),(5,6),(6,7)],10)
[2,3,4,10,6,9,8,5,1,7]=>([(0,9),(1,6),(5,9),(6,8),(7,3),(7,4),(7,9),(8,2),(8,5),(8,7)],10)
[2,3,6,5,9,10,8,4,1,7]=>([(0,9),(1,6),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,3),(6,4),(6,5),(8,2)],10)
[2,3,9,5,8,7,4,1,10,6]=>([(0,8),(0,9),(1,7),(2,9),(3,9),(4,9),(5,8),(5,9),(6,3),(6,4),(6,8),(7,2),(7,5),(7,6)],10)
[2,5,4,9,6,10,8,3,1,7]=>([(0,9),(1,3),(1,4),(1,5),(3,9),(4,6),(4,8),(5,6),(5,8),(6,7),(8,2),(8,7),(8,9)],10)
[2,5,4,8,9,7,3,1,10,6]=>([(0,8),(0,9),(1,3),(1,4),(1,5),(2,9),(3,8),(3,9),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,2)],10)
[2,3,4,10,6,7,1,9,8,5]=>([(0,7),(0,8),(0,9),(1,5),(3,7),(3,8),(4,3),(5,6),(6,2),(6,4),(6,9)],10)
[2,3,7,5,6,1,10,9,8,4]=>([(0,6),(0,7),(0,8),(0,9),(1,5),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,3),(5,2),(5,4),(5,6)],10)
[2,3,4,10,6,8,9,1,7,5]=>([(0,8),(0,9),(1,5),(4,2),(5,7),(6,4),(6,8),(7,3),(7,6),(7,9)],10)
[2,3,6,5,8,10,9,1,7,4]=>([(0,7),(0,9),(1,6),(4,8),(4,9),(5,8),(5,9),(6,4),(6,5),(6,7),(8,2),(8,3)],10)
[2,3,8,5,7,9,1,10,6,4]=>([(0,7),(0,8),(0,9),(1,5),(2,6),(3,6),(4,3),(4,9),(5,2),(5,4),(5,8),(6,7)],10)
[2,5,4,8,6,10,9,1,7,3]=>([(0,2),(0,3),(0,7),(1,6),(1,7),(2,8),(2,9),(3,8),(3,9),(8,4),(8,5),(9,4),(9,5),(9,6)],10)
[2,5,4,7,8,9,1,10,6,3]=>([(0,7),(0,8),(0,9),(1,2),(1,3),(1,8),(2,6),(2,9),(3,6),(3,9),(4,7),(5,4),(6,5)],10)
[2,3,4,10,6,9,8,7,5,1]=>([(1,7),(7,9),(8,4),(8,5),(8,6),(9,2),(9,3),(9,8)],10)
[2,3,6,5,9,10,8,7,4,1]=>([(1,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,3),(6,4),(6,5),(9,2)],10)
[2,3,7,5,9,8,10,6,4,1]=>([(1,6),(4,7),(4,8),(5,3),(5,7),(5,8),(6,2),(6,4),(6,5),(7,9),(8,9)],10)
[2,3,9,5,8,7,6,4,1,10]=>([(0,9),(1,8),(2,9),(3,9),(4,9),(5,9),(6,9),(7,4),(7,5),(7,6),(8,2),(8,3),(8,7)],10)
[2,5,4,9,6,10,8,7,3,1]=>([(1,4),(1,5),(1,6),(5,7),(5,9),(6,7),(6,9),(7,8),(9,2),(9,3),(9,8)],10)
[2,5,4,9,7,8,10,6,3,1]=>([(1,3),(1,4),(1,5),(2,8),(4,6),(4,7),(4,9),(5,6),(5,7),(5,9),(7,8),(9,2)],10)
[2,5,4,8,9,7,6,3,1,10]=>([(0,9),(1,3),(1,4),(1,5),(2,9),(3,9),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,2)],10)
[2,3,4,10,7,9,8,1,6,5]=>([(0,8),(0,9),(1,5),(5,7),(6,3),(6,4),(7,2),(7,6),(7,8),(7,9)],10)
[2,3,5,7,10,9,8,1,6,4]=>([(0,8),(0,9),(1,6),(5,7),(5,9),(6,5),(6,8),(7,2),(7,3),(7,4)],10)
[2,3,8,6,9,7,1,10,5,4]=>([(0,7),(0,8),(0,9),(1,5),(2,6),(3,9),(4,3),(4,6),(5,2),(5,4),(5,7),(5,8),(6,9)],10)
[2,4,7,5,10,9,8,1,6,3]=>([(0,2),(0,9),(1,8),(1,9),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(4,8)],10)
[2,4,6,8,9,7,1,10,5,3]=>([(0,7),(0,8),(0,9),(1,5),(1,8),(2,9),(3,9),(4,3),(5,6),(5,7),(6,2),(6,4)],10)
[2,3,4,10,7,8,9,6,5,1]=>([(1,8),(6,7),(7,5),(8,9),(9,2),(9,3),(9,4),(9,6)],10)
[2,3,5,7,10,8,9,6,4,1]=>([(1,9),(6,5),(7,4),(7,8),(8,2),(8,6),(9,3),(9,7)],10)
[2,3,7,6,8,9,10,5,4,1]=>([(1,8),(5,9),(6,9),(7,4),(8,2),(8,3),(8,5),(8,6),(9,7)],10)
[2,3,9,6,7,8,5,4,1,10]=>([(0,9),(1,8),(2,9),(3,9),(4,9),(5,9),(6,7),(7,5),(8,2),(8,3),(8,4),(8,6)],10)
[2,4,7,5,10,8,9,6,3,1]=>([(1,4),(1,7),(5,8),(5,9),(6,3),(6,8),(6,9),(7,5),(7,6),(9,2)],10)
[2,4,6,7,8,9,10,5,3,1]=>([(1,4),(1,9),(5,6),(6,8),(7,5),(8,2),(9,3),(9,7)],10)
[2,4,6,9,7,8,5,3,1,10]=>([(0,9),(1,5),(1,8),(2,9),(3,9),(4,9),(5,9),(6,4),(7,3),(7,6),(8,2),(8,7)],10)
[2,6,5,8,9,7,10,4,3,1]=>([(1,3),(1,4),(1,5),(1,6),(2,8),(5,7),(5,9),(6,7),(6,9),(7,8),(9,2)],10)
[2,6,5,7,8,9,4,3,1,10]=>([(0,9),(1,3),(1,4),(1,5),(1,6),(2,9),(3,9),(4,9),(5,8),(6,8),(7,2),(8,7)],10)
[3,7,4,5,10,9,8,1,6,2]=>([(0,4),(0,9),(1,3),(1,5),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(5,2)],10)
[3,6,4,8,9,7,1,10,5,2]=>([(0,5),(0,7),(0,9),(1,3),(1,4),(2,9),(3,6),(3,8),(4,6),(4,7),(4,8),(6,9),(8,2)],10)
[3,7,4,5,10,8,9,6,2,1]=>([(2,5),(2,6),(5,8),(5,9),(6,7),(7,3),(7,8),(7,9),(9,4)],10)
[3,6,4,7,8,9,10,5,2,1]=>([(2,5),(2,7),(5,9),(6,4),(7,3),(7,9),(8,6),(9,8)],10)
[3,6,4,9,7,8,5,2,1,10]=>([(0,9),(1,9),(2,5),(2,6),(3,9),(4,9),(5,7),(5,8),(6,4),(6,7),(6,8),(7,9),(8,3)],10)
[3,5,6,8,9,7,10,4,2,1]=>([(2,3),(2,7),(4,9),(5,9),(6,5),(7,8),(8,4),(8,6)],10)
[3,5,6,7,8,9,4,2,1,10]=>([(0,9),(1,9),(2,4),(2,8),(3,9),(4,9),(5,7),(6,5),(7,3),(8,6)],10)
[5,6,4,7,3,9,1,8,2,10]=>([(0,7),(1,6),(1,8),(2,5),(3,4),(3,8),(4,9),(5,7),(6,9),(7,6),(7,8),(8,9)],10)
[1,6,7,5,8,4,10,2,9,3]=>([(0,3),(0,4),(0,5),(0,6),(2,7),(3,8),(3,9),(4,7),(5,2),(6,1),(6,9),(7,8),(7,9)],10)
[4,5,6,7,8,9,1,10,2,3]=>([(0,7),(1,8),(1,9),(3,9),(4,5),(5,3),(6,4),(7,6),(8,2)],10)
[3,2,5,4,7,6,8,10,9,1]=>([(1,8),(1,9),(2,8),(2,9),(5,3),(5,4),(6,5),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[3,2,5,4,6,9,7,8,10,1]=>([(1,8),(1,9),(2,8),(2,9),(3,5),(4,7),(5,7),(6,3),(6,4),(8,6),(9,6)],10)
[3,2,5,4,6,8,7,10,9,1]=>([(1,8),(1,9),(2,8),(2,9),(3,6),(3,7),(4,6),(4,7),(5,3),(5,4),(8,5),(9,5)],10)
[3,2,5,4,6,7,10,8,9,1]=>([(1,8),(1,9),(2,8),(2,9),(5,4),(6,3),(6,5),(7,6),(8,7),(9,7)],10)
[3,2,4,7,5,6,9,8,10,1]=>([(1,7),(2,7),(3,5),(4,8),(4,9),(5,8),(5,9),(7,3),(7,4),(8,6),(9,6)],10)
[3,2,4,7,5,6,8,10,9,1]=>([(1,8),(2,8),(5,9),(6,9),(7,5),(8,6),(8,7),(9,3),(9,4)],10)
[3,2,4,6,5,9,7,8,10,1]=>([(1,8),(2,8),(3,6),(4,7),(4,9),(5,7),(5,9),(7,3),(8,4),(8,5),(9,6)],10)
[3,2,4,6,5,8,7,10,9,1]=>([(1,7),(2,7),(3,8),(3,9),(4,8),(4,9),(7,3),(7,4),(8,5),(8,6),(9,5),(9,6)],10)
[3,2,4,6,5,7,10,8,9,1]=>([(1,9),(2,9),(4,8),(5,8),(7,3),(8,6),(8,7),(9,4),(9,5)],10)
[3,2,4,5,9,6,7,8,10,1]=>([(1,9),(2,9),(3,8),(4,8),(5,6),(6,4),(7,3),(7,5),(9,7)],10)
[3,2,4,5,8,6,7,10,9,1]=>([(1,9),(2,9),(3,7),(3,8),(4,7),(4,8),(5,4),(6,3),(6,5),(9,6)],10)
[3,2,4,5,7,6,10,8,9,1]=>([(1,8),(2,8),(4,7),(4,9),(5,7),(5,9),(6,4),(6,5),(8,6),(9,3)],10)
[3,2,4,5,6,10,7,8,9,1]=>([(1,9),(2,9),(5,6),(6,3),(7,8),(8,4),(8,5),(9,7)],10)
[2,5,3,4,7,6,9,8,10,1]=>([(1,2),(1,4),(2,3),(3,8),(3,9),(4,8),(4,9),(6,5),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[2,5,3,4,7,6,8,10,9,1]=>([(1,5),(1,6),(4,7),(4,8),(5,7),(5,8),(6,4),(7,9),(8,9),(9,2),(9,3)],10)
[2,5,3,4,6,9,7,8,10,1]=>([(1,3),(1,7),(2,9),(3,9),(4,8),(5,8),(6,5),(7,2),(9,4),(9,6)],10)
[2,5,3,4,6,8,7,10,9,1]=>([(1,3),(1,6),(2,9),(3,9),(4,7),(4,8),(5,7),(5,8),(6,2),(9,4),(9,5)],10)
[2,5,3,4,6,7,10,8,9,1]=>([(1,5),(1,7),(4,9),(5,9),(6,3),(7,4),(8,2),(8,6),(9,8)],10)
[2,4,3,7,5,6,9,8,10,1]=>([(1,3),(1,4),(2,7),(2,8),(3,6),(3,9),(4,6),(4,9),(6,2),(7,5),(8,5),(9,7),(9,8)],10)
[2,4,3,7,5,6,8,10,9,1]=>([(1,5),(1,6),(4,9),(5,7),(5,8),(6,7),(6,8),(7,9),(8,4),(9,2),(9,3)],10)
[2,4,3,6,5,9,7,8,10,1]=>([(1,3),(1,4),(2,6),(3,8),(3,9),(4,8),(4,9),(5,2),(7,6),(8,5),(8,7),(9,5),(9,7)],10)
[2,4,3,6,5,7,10,8,9,1]=>([(1,4),(1,5),(4,7),(4,8),(5,7),(5,8),(6,3),(7,9),(8,9),(9,2),(9,6)],10)
[2,4,3,5,9,6,7,8,10,1]=>([(1,2),(1,3),(2,9),(3,9),(4,8),(5,8),(6,7),(7,5),(9,4),(9,6)],10)
[2,4,3,5,8,6,7,10,9,1]=>([(1,2),(1,3),(2,9),(3,9),(4,7),(4,8),(5,7),(5,8),(6,5),(9,4),(9,6)],10)
[2,4,3,5,7,6,10,8,9,1]=>([(1,3),(1,4),(3,9),(4,9),(5,7),(5,8),(6,7),(6,8),(8,2),(9,5),(9,6)],10)
[2,4,3,5,6,10,7,8,9,1]=>([(1,4),(1,5),(4,9),(5,9),(6,7),(7,3),(8,2),(8,6),(9,8)],10)
[2,3,7,4,5,6,9,8,10,1]=>([(1,6),(2,7),(2,8),(3,7),(3,8),(4,5),(5,3),(6,2),(6,4),(7,9),(8,9)],10)
[2,3,7,4,5,6,8,10,9,1]=>([(1,8),(2,9),(3,9),(6,7),(7,3),(8,2),(8,6),(9,4),(9,5)],10)
[2,3,6,4,5,9,7,8,10,1]=>([(1,6),(2,8),(3,7),(3,9),(4,7),(4,9),(5,4),(6,3),(6,5),(7,8),(9,2)],10)
[2,3,6,4,5,8,7,10,9,1]=>([(1,5),(2,6),(2,7),(3,6),(3,7),(4,3),(5,2),(5,4),(6,8),(6,9),(7,8),(7,9)],10)
[2,3,6,4,5,7,10,8,9,1]=>([(1,8),(3,9),(4,9),(6,4),(7,2),(8,3),(8,6),(9,5),(9,7)],10)
[2,3,5,4,9,6,7,8,10,1]=>([(1,6),(2,9),(3,7),(3,8),(4,7),(4,8),(5,2),(6,3),(6,4),(7,9),(8,5)],10)
[2,3,5,4,8,6,7,10,9,1]=>([(1,5),(2,6),(2,9),(3,6),(3,9),(4,7),(4,8),(5,2),(5,3),(6,7),(6,8),(9,4)],10)
[2,3,5,4,7,6,10,8,9,1]=>([(1,5),(3,6),(3,7),(4,6),(4,7),(5,3),(5,4),(6,8),(6,9),(7,8),(7,9),(9,2)],10)
[2,3,5,4,6,10,7,8,9,1]=>([(1,8),(3,9),(4,9),(6,2),(7,6),(8,3),(8,4),(9,5),(9,7)],10)
[2,3,4,9,5,6,7,8,10,1]=>([(1,7),(2,9),(3,9),(4,6),(5,4),(6,2),(7,8),(8,3),(8,5)],10)
[2,3,4,8,5,6,7,10,9,1]=>([(1,6),(2,8),(2,9),(3,8),(3,9),(4,5),(5,2),(6,7),(7,3),(7,4)],10)
[2,3,4,7,5,6,10,8,9,1]=>([(1,6),(3,8),(3,9),(4,8),(4,9),(5,4),(6,7),(7,3),(7,5),(9,2)],10)
[2,3,4,6,5,10,7,8,9,1]=>([(1,5),(3,8),(3,9),(4,8),(4,9),(5,7),(6,2),(7,3),(7,4),(9,6)],10)
[9,3,10,1,2,4,5,6,7,8]=>([(0,8),(1,8),(1,9),(2,4),(4,9),(5,7),(6,5),(7,3),(9,6)],10)
[10,3,1,9,2,4,5,6,7,8]=>([(1,8),(1,9),(2,4),(2,8),(4,9),(5,7),(6,5),(7,3),(9,6)],10)
[3,1,4,10,2,5,6,7,8,9]=>([(0,9),(1,4),(1,9),(4,8),(5,6),(6,3),(7,5),(8,7),(9,2),(9,8)],10)
[9,8,10,7,6,5,4,3,1,2]=>([(5,9),(6,9),(7,8)],10)
[10,7,1,2,3,4,8,9,5,6]=>([(1,9),(2,7),(5,8),(6,3),(7,5),(8,6),(8,9),(9,4)],10)
[6,2,3,4,5,7,8,9,10,1]=>([(1,9),(2,7),(4,9),(5,4),(6,3),(7,5),(8,6),(9,8)],10)
[2,6,3,4,5,7,8,9,10,1]=>([(1,4),(1,7),(3,9),(4,9),(5,2),(6,3),(7,6),(8,5),(9,8)],10)
[2,3,6,4,5,7,8,9,10,1]=>([(1,8),(3,9),(4,9),(5,2),(6,4),(7,5),(8,3),(8,6),(9,7)],10)
[10,2,3,4,5,6,7,1,8,9]=>([(1,9),(2,8),(3,9),(5,7),(6,5),(7,3),(8,6),(9,4)],10)
[10,2,3,4,5,6,1,7,8,9]=>([(1,9),(2,7),(4,9),(5,6),(6,4),(7,5),(8,3),(9,8)],10)
[10,2,3,4,5,1,6,7,8,9]=>([(1,9),(2,7),(4,9),(5,4),(6,3),(7,5),(8,6),(9,8)],10)
[10,2,3,4,1,5,6,7,8,9]=>([(1,9),(2,7),(4,9),(5,6),(6,3),(7,4),(8,5),(9,8)],10)
[2,8,1,3,4,5,6,10,7,9]=>([(0,9),(1,3),(1,9),(2,8),(3,7),(3,8),(4,6),(5,4),(6,2),(6,7),(9,5)],10)
[10,7,1,2,3,4,5,9,6,8]=>([(1,8),(1,9),(2,6),(3,9),(4,5),(5,7),(6,4),(7,3),(7,8)],10)
[4,5,6,8,2,9,3,10,7,1]=>([(1,6),(2,4),(2,9),(3,9),(4,7),(4,8),(5,3),(5,8),(6,5),(9,7)],10)
[10,4,5,6,9,3,8,2,7,1]=>([(2,5),(3,9),(4,8),(4,9),(5,7),(7,6),(7,8),(7,9)],10)
[4,5,10,6,9,3,8,2,7,1]=>([(1,4),(2,9),(3,8),(3,9),(4,6),(4,7),(7,5),(7,8),(7,9)],10)
[4,5,8,2,6,10,9,3,7,1]=>([(1,4),(2,3),(2,9),(3,8),(4,5),(4,9),(5,6),(5,7),(9,6),(9,7),(9,8)],10)
[10,6,9,5,4,3,8,2,7,1]=>([(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[8,2,6,10,9,5,4,3,7,1]=>([(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(3,9),(4,9),(5,9),(6,7),(6,8),(6,9)],10)
[8,2,10,4,5,6,7,1,9,3]=>([(0,8),(0,9),(1,7),(1,9),(2,6),(2,7),(2,8),(3,9),(4,5),(5,3),(6,4)],10)
[4,5,6,8,2,10,7,1,9,3]=>([(0,3),(1,6),(1,9),(2,6),(2,7),(2,8),(3,5),(4,7),(4,9),(5,4),(5,8),(8,9)],10)
[10,4,5,6,8,2,7,1,9,3]=>([(1,4),(2,7),(2,8),(3,7),(3,9),(4,6),(5,9),(6,5),(6,8),(8,9)],10)
[4,5,10,6,8,2,7,1,9,3]=>([(0,8),(0,9),(1,7),(1,8),(2,6),(4,9),(5,4),(5,7),(6,3),(6,5),(7,9)],10)
[4,5,10,8,2,6,7,1,9,3]=>([(0,7),(0,8),(1,7),(1,9),(2,6),(4,9),(5,9),(6,3),(6,5),(6,8),(8,4)],10)
[10,6,8,2,7,1,9,5,4,3]=>([(1,5),(1,6),(1,7),(1,9),(2,5),(2,6),(2,7),(2,8),(3,4),(3,8),(4,9),(8,9)],10)
[10,8,2,6,7,1,9,5,4,3]=>([(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,6),(3,7),(3,8),(4,5),(5,9)],10)
[8,2,7,1,9,3,10,4,5,6]=>([(0,9),(1,8),(1,9),(2,4),(2,8),(4,9),(5,6),(6,3),(8,5),(8,7),(9,7)],10)
[4,5,8,2,7,1,9,3,10,6]=>([(0,4),(1,8),(1,9),(2,6),(2,8),(3,9),(4,3),(4,5),(4,6),(6,9),(8,5),(8,7),(9,7)],10)
[4,5,9,3,10,7,1,8,2,6]=>([(0,7),(0,8),(0,9),(1,4),(2,3),(2,6),(3,9),(4,5),(4,8),(4,9),(5,7),(8,6)],10)
[4,5,7,1,9,3,8,2,6,10]=>([(0,5),(1,2),(1,3),(1,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,4),(5,8),(6,9),(7,9),(8,9)],10)
[8,2,7,1,9,5,4,3,10,6]=>([(0,8),(1,4),(1,5),(1,6),(1,8),(2,3),(2,4),(2,5),(2,6),(3,8),(4,7),(4,9),(5,7),(5,9),(6,7),(6,9),(8,9)],10)
[9,5,4,3,10,7,1,8,2,6]=>([(0,8),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,5),(4,6),(5,9),(7,6)],10)
[7,1,9,5,4,3,8,2,6,10]=>([(0,6),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(2,8),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,7),(8,7),(9,7)],10)
[8,2,6,10,4,5,7,1,9,3]=>([(0,6),(0,9),(1,7),(1,9),(2,3),(2,4),(2,6),(3,5),(4,7),(4,8),(5,8),(8,9)],10)
[4,8,2,6,10,5,7,1,9,3]=>([(0,6),(0,9),(1,3),(1,7),(1,8),(2,6),(2,7),(2,8),(3,5),(3,9),(4,9),(7,4),(8,4),(8,5)],10)
[4,10,8,2,5,6,7,1,9,3]=>([(0,8),(0,9),(1,7),(1,8),(2,3),(2,5),(2,7),(4,9),(5,9),(6,4),(7,6)],10)
[8,2,6,10,5,7,1,9,4,3]=>([(0,5),(0,9),(1,7),(1,8),(1,9),(2,3),(2,4),(2,7),(2,8),(3,6),(4,5),(4,6),(6,9)],10)
[10,8,2,5,6,7,1,9,4,3]=>([(1,9),(2,4),(2,7),(2,8),(3,7),(3,8),(3,9),(4,6),(5,9),(6,5)],10)
[9,3,10,4,5,7,1,8,2,6]=>([(0,9),(1,6),(1,9),(2,4),(2,8),(3,8),(4,7),(5,3),(5,7),(6,5)],10)
[4,9,3,10,5,7,1,8,2,6]=>([(0,4),(0,8),(1,5),(1,9),(2,7),(2,9),(3,8),(4,6),(5,7),(9,3),(9,6)],10)
[4,9,3,10,7,1,8,2,5,6]=>([(0,6),(0,8),(0,9),(1,4),(1,7),(2,3),(2,6),(2,9),(3,8),(4,9),(6,7),(9,5)],10)
[4,7,1,9,3,8,2,5,6,10]=>([(0,5),(0,9),(1,2),(1,4),(1,7),(2,9),(3,8),(4,6),(4,9),(5,6),(5,7),(6,8),(7,8),(9,3)],10)
[9,4,3,10,5,7,1,8,2,6]=>([(0,9),(1,6),(1,9),(2,6),(2,9),(3,4),(3,7),(4,8),(5,7),(6,5),(6,8)],10)
[9,4,3,10,7,1,8,2,5,6]=>([(0,8),(1,6),(1,8),(1,9),(2,6),(2,8),(2,9),(3,4),(3,7),(4,9),(6,7),(9,5)],10)
[7,1,9,4,3,8,2,5,6,10]=>([(0,6),(0,8),(1,2),(1,3),(1,4),(1,6),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(6,7),(8,7),(9,5)],10)
[5,10,7,1,8,2,4,3,9,6]=>([(0,6),(0,7),(1,2),(1,5),(1,8),(3,8),(3,9),(4,8),(4,9),(5,7),(6,3),(6,4),(7,9)],10)
[5,7,1,8,2,4,3,9,6,10]=>([(0,4),(0,9),(1,5),(1,7),(2,8),(2,9),(3,8),(3,9),(4,7),(5,2),(5,3),(7,8),(8,6),(9,6)],10)
[10,5,7,1,9,4,2,6,8,3]=>([(1,5),(1,9),(2,4),(2,6),(2,7),(4,9),(5,7),(5,8),(6,3),(6,9),(9,8)],10)
[9,4,2,5,6,7,1,10,8,3]=>([(0,8),(1,9),(2,6),(2,8),(3,6),(3,7),(3,9),(4,5),(5,7),(5,9),(8,4)],10)
[10,5,7,1,8,3,9,4,2,6]=>([(1,5),(1,9),(2,4),(2,6),(2,7),(3,9),(4,9),(5,7),(6,3),(6,8),(7,8)],10)
[10,7,1,8,3,9,4,2,5,6]=>([(1,8),(2,5),(2,6),(2,8),(4,9),(5,9),(6,4),(6,7),(8,7),(9,3)],10)
[7,1,8,3,9,4,2,5,6,10]=>([(0,8),(1,4),(1,5),(1,8),(2,7),(3,9),(4,9),(5,3),(5,6),(6,7),(8,6),(9,2)],10)
[4,2,5,10,7,1,8,3,9,6]=>([(0,8),(1,8),(1,9),(2,7),(2,9),(4,7),(7,6),(8,3),(8,4),(8,5),(9,5),(9,6)],10)
[4,2,5,7,1,8,3,9,6,10]=>([(0,7),(1,8),(1,9),(2,7),(2,9),(3,8),(5,4),(6,4),(7,3),(7,6),(8,5),(9,5),(9,6)],10)
[4,5,6,7,8,9,1,2,10,3]=>([(0,8),(1,7),(3,9),(4,5),(5,3),(6,4),(7,6),(8,2),(8,9)],10)
[10,9,7,3,6,1,2,4,8,5]=>([(2,9),(3,6),(4,5),(4,8),(5,9),(6,8),(8,7),(8,9)],10)
[9,7,3,6,1,2,4,10,8,5]=>([(0,9),(1,8),(1,9),(2,5),(3,4),(3,7),(4,8),(4,9),(5,7),(7,6),(7,8),(7,9)],10)
[7,3,10,9,6,1,2,4,8,5]=>([(0,6),(0,7),(0,9),(1,3),(2,5),(2,6),(2,7),(2,8),(3,8),(5,9),(8,4),(8,9)],10)
[7,3,9,6,1,2,4,10,8,5]=>([(0,6),(0,8),(1,3),(2,5),(2,6),(2,7),(3,7),(5,8),(5,9),(6,9),(7,4),(7,8),(7,9)],10)
[9,6,1,2,4,10,7,3,8,5]=>([(0,3),(1,9),(2,6),(2,9),(3,4),(3,5),(4,7),(4,8),(5,6),(5,8),(5,9),(6,7)],10)
[8,4,10,9,7,3,6,1,2,5]=>([(0,6),(0,9),(1,7),(1,8),(2,5),(3,4),(3,6),(3,7),(3,8),(3,9),(5,9)],10)
[10,8,4,9,7,3,6,1,2,5]=>([(1,7),(2,8),(2,9),(3,6),(4,5),(4,7),(4,8),(4,9),(6,9)],10)
[7,3,8,4,10,9,6,1,2,5]=>([(0,4),(1,9),(2,5),(2,9),(4,8),(5,3),(5,6),(5,7),(5,8),(9,6),(9,7)],10)
[7,3,10,8,4,9,6,1,2,5]=>([(0,4),(1,8),(1,9),(2,5),(2,8),(2,9),(4,7),(5,3),(5,6),(5,7),(9,6)],10)
[10,7,3,8,4,9,6,1,2,5]=>([(1,7),(2,4),(3,5),(3,7),(4,9),(5,6),(5,8),(5,9),(7,8)],10)
[6,1,2,7,3,8,4,10,9,5]=>([(0,9),(1,4),(3,5),(3,6),(4,3),(4,9),(5,2),(5,7),(5,8),(6,7),(6,8),(9,6)],10)
[6,1,2,7,3,10,8,4,9,5]=>([(0,9),(1,4),(3,2),(3,8),(4,5),(4,9),(5,3),(5,6),(5,7),(7,8),(9,6),(9,7)],10)
[6,1,2,10,7,3,8,4,9,5]=>([(0,8),(0,9),(1,4),(3,2),(3,7),(4,5),(4,8),(4,9),(5,3),(5,6),(6,7),(9,6)],10)
[10,6,1,2,7,3,8,4,9,5]=>([(1,9),(2,5),(4,3),(4,8),(5,6),(5,9),(6,4),(6,7),(7,8),(9,7)],10)
[6,1,3,10,9,7,2,4,8,5]=>([(0,3),(0,4),(1,6),(1,7),(1,8),(3,9),(4,6),(4,7),(4,8),(4,9),(8,5),(9,2),(9,5)],10)
[6,1,3,9,7,2,4,10,8,5]=>([(0,3),(0,4),(1,6),(1,7),(3,8),(4,6),(4,7),(4,8),(6,9),(7,5),(7,9),(8,2),(8,5),(8,9)],10)
[10,9,6,1,3,7,2,4,8,5]=>([(2,8),(3,4),(3,6),(4,9),(6,8),(6,9),(8,7),(9,5),(9,7)],10)
[9,6,1,3,7,2,4,10,8,5]=>([(0,7),(1,9),(2,3),(2,5),(3,8),(5,7),(5,8),(7,6),(7,9),(8,4),(8,6),(8,9)],10)
[10,7,2,4,9,6,1,3,8,5]=>([(1,6),(2,7),(2,9),(3,4),(3,6),(4,5),(4,7),(4,8),(5,9),(6,8),(6,9)],10)
[6,1,3,8,4,10,9,7,2,5]=>([(0,2),(0,3),(1,7),(1,9),(2,8),(3,4),(3,9),(4,5),(4,6),(4,7),(4,8),(9,5),(9,6)],10)
[6,1,3,10,8,4,9,7,2,5]=>([(0,2),(0,3),(1,6),(1,7),(1,9),(2,8),(3,4),(3,7),(3,9),(4,5),(4,6),(4,8),(9,5)],10)
[8,4,10,9,6,1,3,7,2,5]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(1,9),(2,4),(2,5),(3,8),(4,9),(5,8),(5,9)],10)
[10,8,4,9,6,1,3,7,2,5]=>([(1,7),(2,4),(2,7),(2,9),(3,5),(3,6),(4,8),(5,9),(6,8),(6,9)],10)
[9,6,1,3,8,4,10,7,2,5]=>([(0,9),(1,6),(1,8),(2,3),(2,4),(3,7),(4,5),(4,8),(5,6),(5,7),(5,9),(8,9)],10)
[7,2,6,1,3,8,4,10,9,5]=>([(0,6),(1,9),(2,3),(2,6),(3,9),(4,5),(4,7),(4,8),(6,4),(6,9),(9,7),(9,8)],10)
[7,2,6,1,3,10,8,4,9,5]=>([(0,8),(0,9),(1,6),(2,3),(2,6),(3,8),(3,9),(4,5),(4,7),(6,4),(6,8),(6,9),(9,7)],10)
[10,7,2,6,1,3,8,4,9,5]=>([(1,9),(2,7),(3,4),(3,7),(4,9),(5,6),(5,8),(7,5),(7,9),(9,8)],10)
[7,2,10,6,1,3,8,4,9,5]=>([(0,7),(1,6),(1,9),(2,4),(2,6),(2,7),(3,5),(3,8),(4,9),(7,3),(7,9),(9,8)],10)
[8,3,6,1,4,10,9,7,2,5]=>([(0,8),(0,9),(1,3),(1,5),(2,4),(2,5),(3,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[10,8,3,6,1,4,9,7,2,5]=>([(1,9),(2,4),(2,6),(3,5),(3,6),(4,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[10,9,6,1,4,8,3,7,2,5]=>([(2,7),(2,8),(3,4),(3,5),(3,6),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[9,6,1,4,10,8,3,7,2,5]=>([(0,7),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(3,9),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[8,3,9,6,1,4,10,7,2,5]=>([(0,7),(1,4),(1,8),(2,3),(2,7),(2,8),(3,6),(3,9),(4,5),(7,9),(8,5),(8,6),(8,9)],10)
[8,3,7,2,6,1,4,10,9,5]=>([(0,8),(0,9),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,8),(4,9),(6,8),(6,9),(7,5),(7,8),(7,9)],10)
[10,8,3,7,2,6,1,4,9,5]=>([(1,9),(2,8),(3,7),(3,8),(4,5),(4,7),(4,8),(5,9),(7,9),(8,6),(8,9)],10)
[8,3,10,7,2,6,1,4,9,5]=>([(0,8),(1,6),(1,9),(2,7),(2,8),(3,4),(3,6),(3,7),(3,8),(4,9),(7,9),(8,5),(8,9)],10)
[7,2,8,3,10,6,1,4,9,5]=>([(0,8),(1,6),(2,4),(2,6),(4,5),(4,7),(4,8),(5,9),(6,7),(6,9),(8,3),(8,9)],10)
[9,4,10,8,3,7,2,6,1,5]=>([(0,9),(1,8),(1,9),(2,7),(3,6),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[8,3,9,4,10,7,2,6,1,5]=>([(0,6),(1,9),(2,7),(2,9),(3,4),(3,6),(4,5),(4,7),(4,8),(4,9),(6,8)],10)
[7,2,8,3,9,4,10,6,1,5]=>([(0,9),(1,7),(2,4),(2,9),(4,5),(4,8),(5,3),(5,6),(5,7),(8,6),(9,8)],10)
[10,3,4,1,2,5,6,7,8,9]=>([(1,5),(2,4),(4,9),(5,9),(6,7),(7,3),(8,6),(9,8)],10)
[1,2,3,4,8,5,9,6,10,7]=>([(0,6),(2,8),(3,7),(4,1),(4,9),(5,4),(5,8),(6,3),(7,2),(7,5),(8,9)],10)
[1,2,3,4,5,8,6,10,9,7]=>([(0,6),(2,8),(2,9),(3,4),(4,7),(5,1),(5,8),(5,9),(6,3),(7,2),(7,5)],10)
[1,2,3,7,4,8,5,10,9,6]=>([(0,5),(2,7),(3,4),(3,7),(4,1),(4,8),(4,9),(5,6),(6,2),(6,3),(7,8),(7,9)],10)
[1,2,3,4,9,7,5,10,8,6]=>([(0,6),(2,9),(3,8),(3,9),(4,7),(5,1),(5,8),(5,9),(6,4),(7,2),(7,3),(7,5)],10)
[1,2,3,4,7,5,10,9,8,6]=>([(0,5),(2,7),(2,8),(2,9),(3,6),(4,1),(4,7),(4,8),(4,9),(5,3),(6,2),(6,4)],10)
[1,6,2,7,3,8,4,10,9,5]=>([(0,2),(0,5),(2,6),(3,4),(3,9),(4,1),(4,7),(4,8),(5,3),(5,6),(6,9),(9,7),(9,8)],10)
[1,2,6,3,9,7,4,10,8,5]=>([(0,5),(2,6),(2,7),(3,1),(3,8),(3,9),(4,3),(4,6),(4,7),(5,2),(5,4),(6,9),(7,8),(7,9)],10)
[1,2,6,3,7,4,10,9,8,5]=>([(0,5),(2,6),(3,4),(3,6),(4,1),(4,7),(4,8),(4,9),(5,2),(5,3),(6,7),(6,8),(6,9)],10)
[1,2,3,8,6,4,10,9,7,5]=>([(0,5),(2,8),(2,9),(3,7),(3,8),(3,9),(4,1),(4,7),(4,8),(4,9),(5,6),(6,2),(6,3),(6,4)],10)
[1,2,3,6,4,10,9,8,7,5]=>([(0,4),(2,6),(2,7),(2,8),(2,9),(3,1),(3,6),(3,7),(3,8),(3,9),(4,5),(5,2),(5,3)],10)
[5,1,6,2,9,7,3,10,8,4]=>([(0,8),(1,4),(1,8),(3,2),(3,5),(3,9),(4,3),(4,6),(4,7),(6,9),(7,5),(7,9),(8,6),(8,7)],10)
[5,1,6,2,7,3,10,9,8,4]=>([(0,8),(1,3),(1,8),(3,4),(3,9),(4,2),(4,5),(4,6),(4,7),(8,9),(9,5),(9,6),(9,7)],10)
[1,5,2,6,3,10,9,8,7,4]=>([(0,2),(0,3),(2,9),(3,4),(3,9),(4,1),(4,5),(4,6),(4,7),(4,8),(9,5),(9,6),(9,7),(9,8)],10)
[1,2,7,5,3,10,9,8,6,4]=>([(0,5),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,1),(4,6),(4,7),(4,8),(4,9),(5,2),(5,3),(5,4)],10)
[1,2,5,3,10,9,8,7,6,4]=>([(0,2),(2,3),(2,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,1),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[7,4,1,8,5,2,10,9,6,3]=>([(0,7),(1,5),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,8),(3,9),(5,6),(5,8),(5,9),(7,8),(7,9)],10)
[4,1,9,7,5,2,10,8,6,3]=>([(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(3,2),(3,4),(3,8),(3,9),(5,9),(6,8),(6,9),(7,4),(7,8),(7,9)],10)
[4,1,7,5,2,10,9,8,6,3]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,2),(3,4),(3,7),(3,8),(3,9),(5,7),(5,8),(5,9),(6,4),(6,7),(6,8),(6,9)],10)
[4,1,5,2,10,9,8,7,6,3]=>([(0,9),(1,3),(1,9),(3,2),(3,4),(3,5),(3,6),(3,7),(3,8),(9,4),(9,5),(9,6),(9,7),(9,8)],10)
[1,8,6,4,2,10,9,7,5,3]=>([(0,2),(0,3),(0,4),(0,5),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,1),(5,6),(5,7),(5,8),(5,9)],10)
[1,6,4,2,10,9,8,7,5,3]=>([(0,2),(0,3),(0,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,1),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[1,4,2,10,9,8,7,6,5,3]=>([(0,2),(0,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,1),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9)],10)
[7,5,3,1,10,9,8,6,4,2]=>([(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9)],10)
[5,3,1,10,9,8,7,6,4,2]=>([(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9)],10)
[1,4,2,5,6,7,8,10,9,3]=>([(0,4),(0,7),(4,9),(5,8),(6,5),(7,1),(7,9),(8,2),(8,3),(9,6)],10)
[2,1,4,5,6,7,10,8,3,9]=>([(0,8),(0,9),(1,8),(1,9),(3,7),(4,6),(5,4),(6,2),(6,3),(8,5),(9,7)],10)
[3,1,5,2,6,10,7,8,9,4]=>([(0,7),(0,8),(1,4),(1,8),(4,7),(4,9),(5,6),(6,3),(8,9),(9,2),(9,5)],10)
[4,5,1,6,7,9,8,10,2,3]=>([(0,5),(1,6),(1,9),(3,8),(4,8),(5,9),(6,2),(7,3),(7,4),(9,7)],10)
[7,2,8,3,9,4,10,5,1,6]=>([(0,9),(1,7),(2,5),(2,9),(3,4),(3,6),(4,7),(5,3),(5,8),(8,6),(9,8)],10)
[7,2,8,3,9,4,10,1,5,6]=>([(0,9),(1,7),(2,4),(2,9),(4,5),(4,8),(5,6),(5,7),(7,3),(8,6),(9,8)],10)
[7,2,8,3,9,10,4,5,1,6]=>([(0,7),(1,8),(2,6),(2,8),(4,7),(5,4),(6,5),(6,9),(8,9),(9,3)],10)
[7,2,8,3,9,10,4,1,5,6]=>([(0,9),(1,7),(2,6),(2,7),(4,9),(6,4),(6,8),(7,8),(8,5),(9,3)],10)
[7,2,8,3,9,10,1,4,5,6]=>([(0,7),(1,8),(2,5),(2,8),(5,7),(5,9),(6,4),(7,6),(8,9),(9,3)],10)
[7,2,8,9,3,4,10,5,1,6]=>([(0,8),(1,9),(2,5),(2,9),(3,8),(4,7),(5,6),(6,3),(6,7),(9,4)],10)
[7,2,8,9,3,4,10,1,5,6]=>([(0,8),(1,9),(2,6),(2,9),(3,7),(3,8),(5,7),(6,3),(8,4),(9,5)],10)
[7,2,8,9,3,10,4,5,1,6]=>([(0,8),(1,9),(2,6),(2,9),(3,8),(4,7),(5,3),(6,5),(6,7),(9,4)],10)
[7,2,8,9,3,10,4,1,5,6]=>([(0,8),(1,9),(2,6),(2,9),(3,8),(5,7),(6,3),(6,7),(8,4),(9,5)],10)
[7,2,8,9,3,10,1,4,5,6]=>([(0,8),(1,9),(2,5),(2,9),(4,7),(5,7),(5,8),(6,3),(8,6),(9,4)],10)
[7,2,8,9,10,3,4,5,1,6]=>([(0,9),(1,8),(2,7),(2,9),(4,8),(5,4),(6,3),(7,5),(9,6)],10)
[7,2,8,9,10,3,4,1,5,6]=>([(0,9),(1,8),(2,6),(2,8),(5,9),(6,5),(7,3),(8,7),(9,4)],10)
[7,2,8,9,10,3,1,4,5,6]=>([(0,8),(1,9),(2,5),(2,9),(5,8),(6,3),(7,4),(8,6),(9,7)],10)
[7,8,2,3,9,4,10,5,1,6]=>([(0,8),(1,6),(2,4),(3,8),(4,7),(5,3),(5,9),(6,5),(6,7),(7,9)],10)
[7,8,2,3,9,4,10,1,5,6]=>([(0,9),(1,5),(2,6),(4,8),(4,9),(5,7),(6,4),(6,7),(7,8),(9,3)],10)
[7,8,2,3,9,10,4,5,1,6]=>([(0,8),(1,7),(2,5),(4,8),(5,9),(6,4),(7,6),(7,9),(9,3)],10)
[7,8,2,3,9,10,4,1,5,6]=>([(0,9),(1,6),(2,7),(3,9),(6,8),(7,3),(7,8),(8,4),(9,5)],10)
[7,8,2,3,9,10,1,4,5,6]=>([(0,8),(1,6),(2,5),(5,9),(6,8),(6,9),(7,4),(8,7),(9,3)],10)
[7,8,2,9,3,4,10,5,1,6]=>([(0,8),(1,6),(1,9),(2,4),(3,8),(4,9),(5,3),(5,7),(6,5),(9,7)],10)
[7,8,2,9,3,4,10,1,5,6]=>([(0,9),(1,5),(2,6),(2,8),(4,7),(4,9),(5,8),(6,4),(8,7),(9,3)],10)
[7,8,2,9,3,10,4,5,1,6]=>([(0,8),(1,6),(1,9),(2,4),(3,8),(4,9),(5,3),(6,5),(6,7),(9,7)],10)
[7,8,2,9,3,10,4,1,5,6]=>([(0,9),(1,5),(2,6),(2,8),(4,9),(5,8),(6,4),(6,7),(8,7),(9,3)],10)
[7,8,2,9,3,10,1,4,5,6]=>([(0,8),(1,4),(2,5),(2,9),(4,9),(5,7),(5,8),(6,3),(8,6),(9,7)],10)
[7,8,2,9,10,3,4,5,1,6]=>([(0,8),(1,5),(2,7),(2,9),(4,8),(5,9),(6,4),(7,6),(9,3)],10)
[7,8,2,9,10,3,4,1,5,6]=>([(0,8),(1,6),(2,7),(2,9),(4,8),(6,9),(7,4),(8,5),(9,3)],10)
[7,8,2,9,10,3,1,4,5,6]=>([(0,8),(1,5),(2,6),(2,9),(5,9),(6,8),(7,4),(8,7),(9,3)],10)
[7,8,2,9,10,1,3,4,5,6]=>([(0,8),(1,8),(1,9),(2,5),(5,9),(6,4),(7,6),(8,7),(9,3)],10)
[7,8,9,2,3,4,10,5,1,6]=>([(0,9),(1,6),(2,7),(3,8),(4,9),(5,4),(5,8),(6,5),(7,3)],10)
[7,8,9,2,3,4,10,1,5,6]=>([(0,9),(1,6),(2,7),(4,8),(5,8),(5,9),(6,4),(7,5),(9,3)],10)
[7,8,9,2,3,10,4,5,1,6]=>([(0,9),(1,6),(2,7),(3,8),(4,9),(5,4),(6,3),(7,5),(7,8)],10)
[7,8,9,2,3,10,4,1,5,6]=>([(0,9),(1,7),(2,6),(3,9),(5,8),(6,5),(7,3),(7,8),(9,4)],10)
[7,8,9,2,3,10,1,4,5,6]=>([(0,9),(1,7),(2,5),(4,8),(5,8),(5,9),(6,3),(7,4),(9,6)],10)
[7,8,9,2,10,3,4,5,1,6]=>([(0,8),(1,7),(2,6),(2,9),(3,9),(4,8),(5,4),(6,5),(7,3)],10)
[7,8,9,2,10,3,4,1,5,6]=>([(0,9),(1,6),(2,7),(2,8),(4,9),(5,8),(6,5),(7,4),(9,3)],10)
[7,8,9,2,10,3,1,4,5,6]=>([(0,8),(1,7),(2,5),(2,9),(3,9),(5,8),(6,4),(7,3),(8,6)],10)
[7,8,9,2,10,1,3,4,5,6]=>([(0,9),(1,8),(1,9),(2,7),(4,8),(5,6),(6,3),(7,4),(9,5)],10)
[7,8,9,10,2,3,4,1,5,6]=>([(0,9),(1,7),(2,8),(4,9),(6,3),(7,4),(8,6),(9,5)],10)
[7,8,9,10,2,3,1,4,5,6]=>([(0,9),(1,8),(2,5),(5,9),(6,4),(7,3),(8,6),(9,7)],10)
[7,8,9,10,2,1,3,4,5,6]=>([(0,9),(1,9),(2,7),(5,3),(6,4),(7,5),(8,6),(9,8)],10)
[5,9,8,7,6,4,3,2,1,10]=>([(0,9),(1,9),(2,9),(3,9),(4,5),(4,6),(4,7),(4,8),(5,9),(6,9),(7,9),(8,9)],10)
[10,9,8,6,1,7,5,4,3,2]=>([(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[1,2,9,3,4,5,6,7,10,8]=>([(0,8),(2,9),(3,5),(4,3),(5,7),(6,4),(7,1),(7,9),(8,2),(8,6)],10)
[1,2,3,4,5,9,6,7,10,8]=>([(0,7),(2,9),(3,4),(4,8),(5,6),(6,1),(6,9),(7,3),(8,2),(8,5)],10)
[1,10,6,2,3,4,9,5,7,8]=>([(0,3),(0,4),(0,7),(1,9),(4,8),(4,9),(5,6),(6,1),(6,8),(7,5),(9,2)],10)
[1,5,2,9,3,10,4,6,7,8]=>([(0,3),(0,6),(2,7),(3,7),(3,8),(4,2),(4,9),(5,1),(6,4),(6,8),(7,5),(8,9)],10)
[1,2,4,3,10,9,5,6,7,8]=>([(0,6),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,1),(5,4),(6,2),(6,3),(9,5)],10)
[1,3,2,4,5,10,9,6,7,8]=>([(0,4),(0,5),(4,9),(5,9),(6,7),(7,3),(8,1),(8,2),(8,6),(9,8)],10)
[2,1,3,4,5,9,6,10,7,8]=>([(0,9),(1,9),(3,8),(4,7),(5,2),(6,5),(6,8),(7,3),(7,6),(9,4)],10)
[10,7,8,1,2,3,4,5,6,9]=>([(1,8),(2,4),(3,9),(4,9),(5,7),(6,5),(7,3),(8,6)],10)
[6,7,10,1,2,3,4,5,8,9]=>([(0,8),(1,7),(3,9),(5,3),(6,5),(7,6),(8,2),(8,9),(9,4)],10)
[1,10,2,3,4,7,5,6,8,9]=>([(0,4),(0,7),(1,9),(2,9),(5,8),(6,2),(7,5),(8,1),(8,6),(9,3)],10)
[10,9,8,6,7,5,4,3,2,1]=>([(8,9)],10)
[10,9,7,6,8,5,4,3,2,1]=>([(7,9),(8,9)],10)
[10,8,7,6,9,5,4,3,2,1]=>([(6,9),(7,9),(8,9)],10)
[9,8,7,6,4,3,2,5,1,10]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,8),(7,8),(8,9)],10)
[9,8,7,6,4,3,5,2,1,10]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[1,10,9,8,6,5,7,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(7,9),(8,9)],10)
[3,1,4,5,6,7,9,2,10,8]=>([(0,9),(1,3),(1,9),(2,8),(3,7),(3,8),(4,6),(5,4),(6,2),(6,7),(9,5)],10)
[2,4,3,1,5,6,7,8,9,10]=>([(0,9),(1,3),(1,4),(3,9),(4,9),(5,6),(6,2),(7,5),(8,7),(9,8)],10)
[2,3,6,4,5,1,7,8,9,10]=>([(0,9),(1,8),(3,9),(4,9),(5,2),(6,4),(7,5),(8,3),(8,6),(9,7)],10)
[3,4,5,2,1,6,7,8,9,10]=>([(0,9),(1,9),(2,7),(4,9),(5,6),(6,3),(7,4),(8,5),(9,8)],10)
[2,3,4,8,5,6,7,1,9,10]=>([(0,9),(1,7),(2,9),(3,9),(5,6),(6,3),(7,8),(8,2),(8,5),(9,4)],10)
[3,5,4,7,2,6,1,8,9,10]=>([(0,9),(1,8),(2,4),(2,5),(4,7),(4,8),(5,7),(5,8),(6,3),(7,9),(8,9),(9,6)],10)
[2,6,4,1,5,3,7,8,9,10]=>([(0,7),(0,8),(1,3),(1,4),(1,8),(3,9),(4,7),(5,2),(6,5),(7,9),(8,9),(9,6)],10)
[4,5,2,6,3,1,7,8,9,10]=>([(0,9),(1,5),(2,4),(2,8),(4,9),(5,8),(6,3),(7,6),(8,9),(9,7)],10)
[3,6,4,5,9,2,7,8,1,10]=>([(0,9),(1,8),(2,5),(2,6),(3,8),(4,7),(4,9),(5,7),(5,9),(6,4),(7,8),(9,3)],10)
[2,5,4,7,8,6,3,1,9,10]=>([(0,9),(1,3),(1,5),(1,6),(2,9),(3,9),(5,7),(5,8),(6,7),(6,8),(7,9),(8,2),(9,4)],10)
[4,6,2,5,8,3,7,1,9,10]=>([(0,8),(1,3),(1,6),(2,4),(2,6),(3,9),(4,7),(4,9),(6,7),(6,9),(7,8),(8,5),(9,8)],10)
[3,5,7,6,1,4,2,8,9,10]=>([(0,5),(0,8),(1,7),(1,8),(3,9),(4,9),(5,9),(6,2),(7,3),(7,4),(8,9),(9,6)],10)
[5,6,2,3,7,4,1,8,9,10]=>([(0,9),(1,7),(2,5),(4,9),(5,8),(6,3),(7,4),(7,8),(8,9),(9,6)],10)
[2,5,4,8,6,10,7,3,9,1]=>([(1,3),(1,4),(1,5),(2,9),(3,9),(4,6),(4,8),(5,6),(5,8),(6,7),(6,9),(8,2),(8,7)],10)
[4,7,2,5,6,10,3,8,9,1]=>([(1,6),(1,8),(2,5),(2,8),(4,7),(4,9),(5,9),(6,7),(6,9),(8,4),(9,3)],10)
[2,3,9,5,6,1,7,8,4,10]=>([(0,7),(0,8),(1,6),(2,8),(3,9),(4,9),(5,2),(6,4),(6,5),(6,7),(7,9),(8,3)],10)
[5,7,2,3,6,9,4,8,1,10]=>([(0,8),(1,4),(2,3),(2,6),(3,7),(3,9),(4,5),(4,6),(5,9),(6,7),(6,9),(7,8),(9,8)],10)
[2,8,4,1,6,3,7,5,9,10]=>([(0,3),(0,4),(0,8),(1,7),(1,8),(3,9),(4,6),(4,7),(5,9),(6,9),(7,5),(8,5),(8,6),(9,2)],10)
[4,6,7,8,3,1,5,2,9,10]=>([(0,8),(1,7),(1,8),(2,5),(2,8),(4,9),(5,9),(6,4),(7,6),(8,9),(9,3)],10)
[6,7,2,3,4,8,5,1,9,10]=>([(0,9),(1,7),(2,5),(3,9),(5,8),(6,3),(6,8),(7,6),(8,9),(9,4)],10)
[3,6,4,10,8,7,1,5,9,2]=>([(0,3),(0,4),(1,2),(1,8),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(4,8),(6,9),(7,9),(8,9)],10)
[2,7,4,9,6,3,10,8,5,1]=>([(1,3),(1,4),(1,5),(2,8),(2,9),(3,7),(3,8),(4,6),(4,8),(4,9),(5,2),(5,6),(5,7),(7,9)],10)
[4,6,8,7,3,9,10,5,2,1]=>([(2,8),(2,9),(3,4),(3,8),(4,6),(4,7),(6,9),(7,9),(9,5)],10)
[6,8,2,3,4,7,10,5,9,1]=>([(1,6),(2,4),(2,8),(3,9),(4,7),(4,9),(5,3),(5,8),(6,5),(8,7),(8,9)],10)
[3,5,9,7,1,8,2,6,4,10]=>([(0,4),(0,7),(1,5),(1,8),(2,9),(3,7),(4,6),(4,8),(5,2),(5,3),(5,6),(6,9),(7,9),(8,9)],10)
[5,7,8,3,9,4,1,6,2,10]=>([(0,5),(0,9),(1,6),(1,9),(2,4),(2,7),(3,7),(4,9),(5,8),(6,3),(7,8),(9,8)],10)
[7,8,2,3,4,5,9,6,1,10]=>([(0,9),(1,7),(2,4),(3,9),(4,8),(5,6),(6,3),(6,8),(7,5),(8,9)],10)
[4,6,8,10,9,1,5,2,7,3]=>([(0,5),(0,8),(1,6),(1,8),(5,4),(5,9),(6,7),(6,9),(7,2),(7,3),(8,9)],10)
[6,8,9,3,4,10,5,1,7,2]=>([(0,7),(1,5),(1,9),(2,6),(2,9),(3,9),(4,8),(6,4),(7,3),(7,8)],10)
[8,9,2,3,4,5,6,10,7,1]=>([(1,8),(2,4),(4,9),(5,7),(6,5),(7,3),(7,9),(8,6)],10)
[10,1,2,9,6,3,4,5,7,8]=>([(1,8),(3,9),(4,9),(6,7),(7,4),(8,2),(8,3),(8,6),(9,5)],10)
[4,1,2,10,3,5,9,6,7,8]=>([(0,8),(0,9),(1,7),(2,9),(5,6),(6,4),(7,2),(7,8),(9,3),(9,5)],10)
[1,10,9,8,5,6,7,4,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,9),(8,1),(9,8)],10)
[1,10,9,5,6,7,8,4,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,9),(7,8),(8,1),(9,7)],10)
[1,10,4,5,6,7,8,9,3,2]=>([(0,2),(0,3),(0,4),(0,9),(5,6),(6,8),(7,5),(8,1),(9,7)],10)
[5,3,1,2,6,7,8,9,10,4]=>([(0,9),(1,8),(1,9),(2,4),(4,8),(4,9),(5,6),(6,3),(7,5),(9,7)],10)
[7,3,4,5,1,2,8,9,10,6]=>([(0,9),(1,7),(2,5),(4,8),(4,9),(5,8),(5,9),(6,3),(7,4),(9,6)],10)
[8,3,4,5,6,1,2,9,10,7]=>([(0,9),(1,7),(2,5),(4,8),(4,9),(5,8),(5,9),(6,4),(7,6),(9,3)],10)
[2,6,7,8,9,10,1,3,4,5]=>([(0,9),(1,7),(1,9),(4,6),(5,4),(6,2),(7,5),(8,3),(9,8)],10)
[10,8,9,7,6,5,4,3,2,1]=>([(8,9)],10)
[10,8,6,4,9,7,5,3,2,1]=>([(4,9),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[10,8,6,4,2,1,9,7,5,3]=>([(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[10,8,9,6,5,4,3,2,1,7]=>([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8)],10)
[9,7,10,8,5,4,3,2,1,6]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,7),(6,8)],10)
[9,7,4,3,2,1,5,10,8,6]=>([(0,9),(1,9),(2,9),(3,9),(4,8),(5,7),(5,8),(9,6),(9,7),(9,8)],10)
[9,7,5,10,8,6,3,2,1,4]=>([(0,8),(1,8),(2,8),(3,9),(4,7),(4,9),(5,6),(5,7),(5,9)],10)
[10,8,6,4,9,7,5,2,1,3]=>([(1,9),(2,7),(3,7),(4,8),(4,9),(5,6),(5,8),(5,9)],10)
[10,8,6,4,1,2,9,7,5,3]=>([(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,5),(5,6),(5,7),(5,8),(5,9)],10)
[2,5,1,6,3,7,4,8,9,10]=>([(0,8),(0,9),(1,4),(1,9),(2,7),(4,8),(5,3),(6,7),(7,5),(8,6),(9,2),(9,6)],10)
[3,4,5,1,6,2,7,8,9,10]=>([(0,7),(1,4),(1,9),(2,9),(4,8),(5,3),(6,5),(7,2),(8,6),(9,8)],10)
[2,6,1,7,3,8,4,9,5,10]=>([(0,4),(0,9),(1,7),(1,9),(2,3),(2,8),(3,5),(4,7),(6,8),(7,6),(8,5),(9,2),(9,6)],10)
[3,4,6,1,7,2,8,5,9,10]=>([(0,4),(0,8),(1,5),(3,8),(4,6),(4,7),(5,3),(5,7),(6,9),(7,9),(8,6),(9,2)],10)
[3,2,6,1,7,4,8,5,9,10]=>([(0,8),(0,9),(1,8),(1,9),(2,7),(2,9),(4,5),(5,3),(6,5),(7,6),(8,7),(9,4),(9,6)],10)
[4,2,5,6,1,7,3,8,9,10]=>([(0,7),(1,7),(1,9),(2,8),(2,9),(3,4),(5,8),(6,3),(7,5),(8,6),(9,6)],10)
[3,4,2,6,1,7,5,8,9,10]=>([(0,8),(0,9),(1,6),(1,9),(2,4),(3,5),(4,8),(4,9),(6,7),(7,3),(8,6),(9,7)],10)
[3,2,7,1,8,4,9,5,10,6]=>([(0,8),(0,9),(1,8),(1,9),(2,7),(2,9),(4,3),(4,5),(6,5),(7,6),(8,7),(9,4),(9,6)],10)
[4,5,6,7,1,8,2,9,3,10]=>([(0,5),(1,6),(1,9),(2,8),(3,9),(4,3),(5,4),(6,2),(6,7),(7,8),(9,7)],10)
[3,4,2,7,1,8,5,9,6,10]=>([(0,3),(1,7),(1,9),(2,8),(2,9),(3,8),(3,9),(4,5),(6,5),(7,6),(8,7),(9,4),(9,6)],10)
[5,3,6,4,7,1,8,2,9,10]=>([(0,9),(1,4),(1,9),(2,5),(2,8),(4,7),(5,6),(6,3),(7,8),(8,6),(9,7)],10)
[3,5,2,6,7,1,8,4,9,10]=>([(0,8),(0,9),(1,7),(1,9),(2,3),(2,9),(3,8),(5,7),(6,4),(7,6),(8,5),(9,6)],10)
[4,3,5,2,7,1,8,6,9,10]=>([(0,5),(1,5),(2,6),(2,9),(3,7),(3,9),(5,7),(5,9),(6,8),(7,6),(8,4),(9,8)],10)
[5,2,6,7,8,1,9,3,10,4]=>([(0,7),(1,7),(1,9),(2,8),(2,9),(4,5),(5,8),(7,4),(8,6),(9,3),(9,6)],10)
[5,3,6,4,8,1,9,2,10,7]=>([(0,8),(1,3),(1,8),(2,4),(2,7),(3,6),(3,9),(4,5),(4,9),(6,7),(7,5),(8,6),(8,9)],10)
[3,5,2,6,8,1,9,4,10,7]=>([(0,4),(0,9),(1,8),(1,9),(2,7),(2,9),(3,7),(4,8),(7,6),(8,3),(8,5),(9,5),(9,6)],10)
[4,3,5,2,8,1,9,6,10,7]=>([(0,5),(1,5),(2,7),(2,9),(3,8),(3,9),(5,8),(5,9),(7,6),(8,7),(9,4),(9,6)],10)
[4,6,2,7,5,8,1,9,3,10]=>([(0,3),(0,9),(1,6),(1,7),(2,7),(2,8),(2,9),(3,8),(5,6),(6,4),(7,4),(8,5),(9,5)],10)
[4,3,6,2,7,8,1,9,5,10]=>([(0,7),(0,9),(1,8),(1,9),(2,5),(2,9),(3,5),(3,9),(4,8),(5,7),(7,4),(8,6),(9,6)],10)
[4,5,3,6,2,8,1,9,7,10]=>([(0,8),(1,5),(1,9),(2,7),(2,9),(3,4),(4,8),(5,7),(7,6),(8,5),(8,9),(9,6)],10)
[5,3,7,2,8,6,9,1,10,4]=>([(0,4),(0,9),(1,4),(1,8),(1,9),(2,7),(2,8),(2,9),(3,5),(3,8),(4,7),(6,5),(7,6),(9,6)],10)
[4,5,3,7,2,8,9,1,10,6]=>([(0,6),(0,9),(1,7),(1,9),(2,8),(2,9),(3,5),(4,7),(5,8),(5,9),(6,4),(8,6)],10)
[5,4,6,3,7,2,9,1,10,8]=>([(0,5),(1,5),(2,8),(3,7),(3,9),(4,6),(4,9),(5,8),(7,6),(8,7),(8,9)],10)
[5,1,6,7,8,9,10,2,3,4]=>([(0,9),(1,7),(1,9),(4,5),(5,2),(6,3),(7,6),(8,4),(9,8)],10)
[5,6,7,8,9,10,1,3,4,2]=>([(0,9),(1,4),(1,8),(5,7),(6,5),(7,2),(8,3),(9,6)],10)
[5,6,7,8,9,10,1,4,3,2]=>([(0,9),(1,3),(1,4),(1,5),(6,8),(7,2),(8,7),(9,6)],10)
[7,8,9,10,1,4,5,6,2,3]=>([(0,9),(1,7),(1,8),(5,2),(6,3),(7,5),(8,4),(9,6)],10)
[7,8,9,10,1,4,5,6,3,2]=>([(0,9),(1,4),(1,5),(1,8),(6,2),(7,3),(8,6),(9,7)],10)
[7,8,9,10,1,5,6,4,3,2]=>([(0,9),(1,4),(1,5),(1,6),(1,8),(7,3),(8,2),(9,7)],10)
[7,8,9,10,1,6,5,4,3,2]=>([(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(8,2),(9,8)],10)
[8,9,10,1,4,5,6,7,2,3]=>([(0,9),(1,7),(1,8),(5,6),(6,3),(7,5),(8,2),(9,4)],10)
[8,9,10,1,4,5,6,7,3,2]=>([(0,9),(1,4),(1,5),(1,8),(6,7),(7,3),(8,6),(9,2)],10)
[8,9,10,1,5,6,7,2,3,4]=>([(0,9),(1,7),(1,8),(5,3),(6,2),(7,5),(8,6),(9,4)],10)
[8,9,10,1,5,6,7,4,3,2]=>([(0,9),(1,4),(1,5),(1,6),(1,8),(7,3),(8,7),(9,2)],10)
[8,9,10,1,6,7,4,5,2,3]=>([(0,9),(1,6),(1,7),(1,8),(6,5),(7,4),(8,3),(9,2)],10)
[8,9,10,1,6,7,4,5,3,2]=>([(0,9),(1,5),(1,6),(1,7),(1,8),(7,4),(8,3),(9,2)],10)
[8,9,10,1,6,7,5,4,3,2]=>([(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(8,3),(9,2)],10)
[8,9,10,1,7,6,5,4,3,2]=>([(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(9,2)],10)
[9,10,1,6,7,8,3,4,5,2]=>([(0,5),(1,4),(1,8),(1,9),(6,3),(7,2),(8,6),(9,7)],10)
[9,10,1,6,7,8,4,5,2,3]=>([(0,5),(1,7),(1,8),(1,9),(6,2),(7,4),(8,3),(9,6)],10)
[9,10,1,6,7,8,4,5,3,2]=>([(0,6),(1,4),(1,5),(1,8),(1,9),(7,2),(8,3),(9,7)],10)
[9,10,1,6,7,8,5,4,3,2]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(1,9),(8,2),(9,8)],10)
[9,10,1,7,8,5,6,3,4,2]=>([(0,6),(1,5),(1,7),(1,8),(1,9),(7,4),(8,3),(9,2)],10)
[9,10,1,7,8,5,6,4,3,2]=>([(0,7),(1,4),(1,5),(1,6),(1,8),(1,9),(8,3),(9,2)],10)
[9,10,1,7,8,6,5,4,3,2]=>([(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,9),(9,2)],10)
[10,1,8,9,6,7,4,5,3,2]=>([(1,5),(1,6),(1,7),(1,8),(1,9),(7,4),(8,3),(9,2)],10)
[10,1,8,9,6,7,5,4,3,2]=>([(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(8,3),(9,2)],10)
[10,1,8,9,7,6,5,4,3,2]=>([(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(9,2)],10)
[6,10,9,8,7,5,4,3,1,2]=>([(3,9),(4,5),(4,6),(4,7),(4,8)],10)
[2,3,4,5,6,7,1,9,10,8]=>([(0,8),(0,9),(1,7),(2,8),(2,9),(4,6),(5,4),(6,2),(7,5),(9,3)],10)
[2,3,4,5,1,7,8,9,10,6]=>([(0,8),(0,9),(1,7),(3,8),(3,9),(4,3),(5,6),(6,2),(7,4),(9,5)],10)
[2,3,1,5,6,7,8,9,10,4]=>([(0,8),(0,9),(1,3),(3,8),(3,9),(4,5),(5,7),(6,4),(7,2),(9,6)],10)
[4,2,5,3,7,6,9,8,1,10]=>([(0,9),(1,8),(2,3),(2,8),(3,6),(3,7),(4,9),(5,9),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7)],10)
[4,2,6,3,7,5,9,8,1,10]=>([(0,9),(1,3),(1,6),(2,6),(2,8),(3,7),(3,8),(4,9),(5,9),(6,7),(7,4),(7,5),(8,4),(8,5)],10)
[4,2,6,3,8,5,9,7,1,10]=>([(0,9),(1,3),(1,7),(2,7),(2,8),(3,6),(3,8),(4,9),(5,9),(6,5),(7,4),(7,6),(8,4),(8,5)],10)
[4,2,6,3,8,5,10,7,1,9]=>([(0,9),(1,3),(1,7),(2,7),(2,8),(3,6),(3,8),(5,9),(6,4),(6,9),(7,5),(7,6),(8,4),(8,5)],10)
[4,2,6,3,8,5,10,7,9,1]=>([(1,3),(1,7),(2,7),(2,9),(3,8),(3,9),(6,5),(7,6),(7,8),(8,4),(8,5),(9,4),(9,6)],10)
[4,2,6,3,8,5,7,10,9,1]=>([(1,3),(1,8),(2,6),(2,8),(3,6),(3,9),(6,7),(7,4),(7,5),(8,7),(8,9),(9,4),(9,5)],10)
[4,2,6,3,5,8,7,10,9,1]=>([(1,3),(1,8),(2,8),(2,9),(3,9),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[4,2,3,6,5,8,7,10,9,1]=>([(1,3),(2,8),(2,9),(3,8),(3,9),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[3,4,5,6,7,10,2,1,9,8]=>([(0,8),(0,9),(1,8),(1,9),(2,6),(4,5),(5,7),(6,4),(7,3),(7,8),(7,9)],10)
[3,4,5,6,9,2,10,1,8,7]=>([(0,8),(0,9),(1,7),(1,8),(1,9),(2,5),(3,7),(4,6),(5,4),(6,3),(6,8),(6,9)],10)
[3,4,5,8,2,9,10,1,6,7]=>([(0,9),(1,8),(1,9),(2,6),(4,8),(6,7),(7,4),(7,9),(8,5),(9,3)],10)
[3,4,7,2,8,9,10,1,6,5]=>([(0,8),(0,9),(1,7),(1,8),(1,9),(2,5),(4,7),(5,4),(5,8),(5,9),(6,3),(7,6)],10)
[3,6,2,7,8,9,10,1,5,4]=>([(0,8),(0,9),(1,7),(1,8),(1,9),(2,4),(2,8),(2,9),(4,7),(5,3),(6,5),(7,6)],10)
[5,2,6,7,8,9,10,1,3,4]=>([(0,9),(1,8),(2,8),(2,9),(5,7),(6,5),(7,3),(8,4),(9,6)],10)
[9,10,8,7,6,5,4,1,3,2]=>([(5,9),(6,7),(6,8)],10)
[10,8,7,6,5,4,3,2,9,1]=>([(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[2,9,4,5,6,7,8,1,10,3]=>([(0,8),(0,9),(1,3),(1,7),(1,8),(2,9),(3,9),(4,6),(5,4),(6,2),(7,5)],10)
[4,3,10,5,6,7,8,9,2,1]=>([(2,8),(2,9),(3,8),(3,9),(4,7),(6,5),(7,6),(9,4)],10)
[3,2,9,5,6,7,8,1,10,4]=>([(0,8),(0,9),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,5),(4,9),(5,4),(6,9),(7,3)],10)
[8,9,4,5,6,7,1,3,10,2]=>([(0,8),(1,6),(2,3),(2,5),(4,9),(5,9),(6,9),(7,4),(8,7)],10)
[3,4,1,10,6,7,8,9,2,5]=>([(0,4),(1,3),(1,8),(1,9),(3,7),(4,7),(4,8),(4,9),(5,2),(6,5),(9,6)],10)
[4,9,10,5,6,7,8,2,1,3]=>([(0,9),(1,9),(2,7),(2,8),(5,6),(6,4),(7,5),(8,3)],10)
[9,1,2,3,6,4,5,7,8,10]=>([(0,8),(1,6),(2,9),(3,9),(4,8),(5,3),(6,7),(7,2),(7,5),(9,4)],10)
[5,6,7,8,9,10,3,2,1,4]=>([(0,9),(1,9),(2,9),(3,8),(5,7),(6,5),(7,4),(8,6)],10)
[7,8,9,10,3,4,5,1,2,6]=>([(0,5),(1,7),(2,8),(4,9),(5,9),(6,3),(7,4),(8,6)],10)
[7,8,9,10,3,4,5,2,1,6]=>([(0,9),(1,9),(2,7),(3,8),(5,9),(6,4),(7,6),(8,5)],10)
[7,8,9,10,4,5,2,3,1,6]=>([(0,9),(1,6),(2,5),(3,8),(5,9),(6,9),(7,4),(8,7)],10)
[7,8,9,10,4,5,3,2,1,6]=>([(0,9),(1,9),(2,9),(3,5),(4,6),(5,7),(6,9),(7,8)],10)
[7,8,9,10,5,4,3,2,1,6]=>([(0,6),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(8,7)],10)
[8,9,10,3,4,5,6,1,2,7]=>([(0,5),(1,7),(2,8),(4,9),(5,9),(6,4),(7,3),(8,6)],10)
[8,9,10,3,4,5,6,2,1,7]=>([(0,9),(1,9),(2,7),(3,8),(5,9),(6,5),(7,6),(8,4)],10)
[8,9,10,4,5,6,1,2,3,7]=>([(0,7),(1,6),(2,8),(4,9),(5,9),(6,4),(7,5),(8,3)],10)
[8,9,10,4,5,6,3,2,1,7]=>([(0,9),(1,9),(2,9),(3,5),(4,6),(5,8),(6,7),(8,9)],10)
[8,9,10,5,6,3,4,1,2,7]=>([(0,7),(1,6),(2,5),(3,8),(5,9),(6,9),(7,9),(8,4)],10)
[8,9,10,5,6,3,4,2,1,7]=>([(0,9),(1,9),(2,7),(3,6),(4,5),(5,8),(6,9),(7,9)],10)
[8,9,10,5,6,4,3,2,1,7]=>([(0,9),(1,9),(2,9),(3,9),(4,6),(5,7),(6,8),(7,9)],10)
[8,9,10,6,5,4,3,2,1,7]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,7),(7,8)],10)
[9,10,5,6,7,2,3,4,1,8]=>([(0,9),(1,6),(2,8),(3,7),(4,9),(5,9),(7,4),(8,5)],10)
[9,10,5,6,7,3,4,1,2,8]=>([(0,7),(1,6),(2,5),(3,8),(4,9),(6,9),(7,9),(8,4)],10)
[9,10,5,6,7,3,4,2,1,8]=>([(0,9),(1,9),(2,5),(3,6),(4,7),(6,8),(7,9),(8,9)],10)
[9,10,5,6,7,4,3,2,1,8]=>([(0,9),(1,9),(2,9),(3,9),(4,6),(5,7),(7,8),(8,9)],10)
[9,10,6,7,4,5,3,2,1,8]=>([(0,9),(1,9),(2,9),(3,8),(4,7),(5,6),(7,9),(8,9)],10)
[9,10,6,7,5,4,3,2,1,8]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,7),(6,8),(8,9)],10)
[9,10,7,6,5,4,3,2,1,8]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8)],10)
[10,7,8,5,6,3,4,2,1,9]=>([(1,9),(2,9),(3,8),(4,7),(5,6),(6,9),(7,9),(8,9)],10)
[10,7,8,5,6,4,3,2,1,9]=>([(1,9),(2,9),(3,9),(4,9),(5,8),(6,7),(7,9),(8,9)],10)
[10,7,8,6,5,4,3,2,1,9]=>([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(8,9)],10)
[10,9,1,2,3,7,8,4,5,6]=>([(2,8),(5,6),(6,3),(7,4),(8,9),(9,5),(9,7)],10)
[10,9,1,2,8,7,3,4,5,6]=>([(2,9),(6,8),(7,5),(8,7),(9,3),(9,4),(9,6)],10)
[9,8,1,10,7,2,3,4,5,6]=>([(0,9),(1,9),(2,4),(2,8),(2,9),(5,7),(6,5),(7,3),(8,6)],10)
[8,6,1,2,3,4,5,9,10,7]=>([(0,9),(1,8),(1,9),(2,7),(4,8),(4,9),(5,6),(6,4),(7,5),(9,3)],10)
[5,7,1,2,3,4,8,9,10,6]=>([(0,7),(1,4),(1,9),(3,8),(3,9),(4,8),(5,3),(6,2),(7,5),(8,6)],10)
[10,4,1,2,3,7,8,9,5,6]=>([(1,8),(1,9),(2,6),(5,8),(5,9),(6,5),(7,3),(8,7),(9,4)],10)
[10,3,1,2,9,7,8,4,5,6]=>([(1,7),(1,8),(1,9),(2,5),(5,7),(5,8),(5,9),(6,4),(8,6),(9,3)],10)
[2,9,1,10,8,7,3,4,5,6]=>([(0,6),(0,7),(0,8),(0,9),(1,3),(1,7),(1,8),(1,9),(3,6),(4,2),(5,4),(9,5)],10)
[10,7,1,8,2,9,3,4,5,6]=>([(1,9),(2,7),(2,9),(4,6),(5,4),(6,3),(7,5),(7,8),(9,8)],10)
[9,7,1,10,8,2,3,4,5,6]=>([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(4,6),(5,4),(6,3),(7,5)],10)
[10,9,7,1,8,2,3,4,5,6]=>([(2,9),(3,8),(3,9),(5,7),(6,5),(7,4),(8,6)],10)
[10,6,1,7,2,8,3,9,4,5]=>([(1,9),(2,6),(2,9),(4,5),(4,8),(5,3),(6,4),(6,7),(7,8),(9,7)],10)
[9,6,1,10,7,2,8,3,4,5]=>([(0,9),(1,8),(1,9),(2,6),(2,8),(2,9),(4,5),(5,3),(6,4),(6,7),(8,7)],10)
[10,9,6,1,7,2,8,3,4,5]=>([(2,8),(3,4),(3,8),(4,7),(4,9),(6,5),(7,6),(8,9)],10)
[10,8,6,1,9,7,2,3,4,5]=>([(1,9),(2,8),(2,9),(3,4),(3,8),(3,9),(4,7),(6,5),(7,6)],10)
[10,9,8,6,1,7,2,3,4,5]=>([(3,9),(4,5),(4,9),(5,8),(7,6),(8,7)],10)
[9,5,1,10,6,2,7,3,8,4]=>([(0,9),(1,6),(1,9),(2,3),(2,6),(2,9),(3,5),(3,7),(5,4),(5,8),(6,7),(7,8)],10)
[10,9,5,1,6,2,7,3,8,4]=>([(2,7),(3,4),(3,7),(4,6),(4,8),(6,5),(6,9),(7,8),(8,9)],10)
[8,5,1,9,6,2,10,7,3,4]=>([(0,8),(1,6),(1,8),(2,3),(2,6),(2,8),(3,5),(3,7),(3,9),(5,4),(6,7),(6,9),(8,9)],10)
[10,8,5,1,9,6,2,7,3,4]=>([(1,9),(2,7),(2,9),(3,4),(3,7),(3,9),(4,6),(4,8),(6,5),(7,8)],10)
[10,9,8,5,1,6,2,7,3,4]=>([(3,8),(4,5),(4,8),(5,7),(5,9),(7,6),(8,9)],10)
[9,7,5,1,10,8,6,2,3,4]=>([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,4),(3,7),(3,8),(3,9),(4,6),(6,5)],10)
[10,9,7,5,1,8,6,2,3,4]=>([(2,9),(3,8),(3,9),(4,5),(4,8),(4,9),(5,7),(7,6)],10)
[10,9,8,7,5,1,6,2,3,4]=>([(4,9),(5,6),(5,9),(6,8),(8,7)],10)
[9,7,4,1,10,8,5,2,6,3]=>([(0,9),(1,8),(1,9),(2,6),(2,8),(2,9),(3,4),(3,6),(3,8),(3,9),(4,5),(4,7),(6,7)],10)
[10,9,7,4,1,8,5,2,6,3]=>([(2,9),(3,7),(3,9),(4,5),(4,7),(4,9),(5,6),(5,8),(7,8)],10)
[10,9,8,7,4,1,5,2,6,3]=>([(4,8),(5,6),(5,8),(6,7),(6,9),(8,9)],10)
[10,8,6,4,1,9,7,5,2,3]=>([(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,6)],10)
[10,9,8,6,4,1,7,5,2,3]=>([(3,9),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7)],10)
[10,9,8,7,6,4,1,5,2,3]=>([(5,9),(6,7),(6,9),(7,8)],10)
[10,9,7,5,3,1,8,6,4,2]=>([(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[10,9,8,7,5,3,1,6,4,2]=>([(4,9),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[10,9,8,7,6,5,3,1,4,2]=>([(6,9),(7,8),(7,9)],10)
[2,3,4,10,6,7,8,9,1,5]=>([(0,9),(1,7),(4,6),(5,4),(6,2),(7,8),(8,3),(8,5),(8,9)],10)
[2,3,10,5,6,7,8,9,1,4]=>([(0,9),(1,8),(4,5),(5,7),(6,4),(7,2),(8,3),(8,6),(8,9)],10)
[2,3,4,5,6,10,1,9,7,8]=>([(0,8),(0,9),(1,6),(4,5),(5,7),(6,4),(7,2),(7,8),(7,9),(9,3)],10)
[2,3,4,5,10,1,8,9,6,7]=>([(0,8),(0,9),(1,6),(5,7),(6,5),(7,2),(7,8),(7,9),(8,4),(9,3)],10)
[2,3,10,1,6,7,8,9,4,5]=>([(0,8),(0,9),(1,6),(5,4),(6,2),(6,8),(6,9),(7,5),(8,7),(9,3)],10)
[1,4,2,6,5,8,7,10,9,3]=>([(0,2),(0,3),(2,8),(2,9),(3,1),(3,8),(3,9),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[1,5,2,6,4,8,7,10,9,3]=>([(0,2),(0,3),(2,9),(3,1),(3,4),(3,9),(4,7),(4,8),(7,5),(7,6),(8,5),(8,6),(9,7),(9,8)],10)
[1,5,2,7,4,8,6,10,9,3]=>([(0,2),(0,4),(2,1),(2,3),(2,7),(3,8),(3,9),(4,7),(4,8),(7,9),(8,5),(8,6),(9,5),(9,6)],10)
[1,5,2,7,4,9,6,10,8,3]=>([(0,2),(0,4),(2,1),(2,3),(2,8),(3,7),(3,9),(4,8),(4,9),(7,6),(8,5),(8,7),(9,5),(9,6)],10)
[1,5,2,7,4,9,6,8,10,3]=>([(0,2),(0,4),(2,1),(2,3),(2,9),(3,7),(3,8),(4,7),(4,9),(6,5),(7,6),(8,5),(9,6),(9,8)],10)
[1,5,2,7,4,6,9,8,10,3]=>([(0,3),(0,4),(2,9),(3,1),(3,2),(3,8),(4,8),(4,9),(6,5),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[1,5,2,4,7,6,9,8,10,3]=>([(0,2),(0,4),(2,1),(2,3),(3,8),(3,9),(4,8),(4,9),(6,5),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[1,2,5,4,7,6,9,8,10,3]=>([(0,2),(2,1),(2,3),(2,4),(3,8),(3,9),(4,8),(4,9),(6,5),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
[3,4,5,6,7,9,10,8,1,2]=>([(0,8),(1,4),(5,6),(6,9),(7,2),(8,5),(9,3),(9,7)],10)
[3,4,5,6,8,9,10,7,1,2]=>([(0,8),(1,4),(5,9),(6,7),(7,2),(8,5),(9,3),(9,6)],10)
[3,4,6,7,8,9,10,5,1,2]=>([(0,4),(1,9),(5,6),(6,8),(7,5),(8,2),(9,3),(9,7)],10)
[3,5,6,7,8,9,10,4,1,2]=>([(0,4),(1,3),(1,9),(5,6),(6,8),(7,5),(8,2),(9,7)],10)
[3,4,5,6,7,10,1,8,9,2]=>([(0,8),(1,4),(1,9),(5,7),(6,5),(7,2),(7,9),(8,6),(9,3)],10)
[3,4,5,6,9,1,10,8,7,2]=>([(0,6),(1,3),(1,7),(1,8),(1,9),(2,9),(4,5),(5,2),(5,7),(5,8),(6,4)],10)
[3,4,5,8,1,9,10,7,6,2]=>([(0,6),(1,4),(1,7),(1,8),(1,9),(3,9),(5,3),(5,7),(5,8),(6,5),(9,2)],10)
[3,4,7,1,8,9,10,5,6,2]=>([(0,7),(1,5),(1,8),(1,9),(4,8),(6,3),(7,4),(7,9),(8,6),(9,2)],10)
[3,6,1,7,8,9,10,5,4,2]=>([(0,4),(0,8),(0,9),(1,3),(1,7),(1,8),(1,9),(4,7),(5,6),(6,2),(7,5)],10)
[5,1,6,7,8,9,10,4,3,2]=>([(0,9),(1,3),(1,4),(1,5),(1,9),(6,7),(7,2),(8,6),(9,8)],10)
[6,10,5,1,2,3,4,7,8,9]=>([(0,9),(1,8),(2,5),(2,9),(4,9),(6,4),(7,3),(8,6),(9,7)],10)
[10,5,4,1,2,3,6,7,8,9]=>([(1,9),(2,9),(3,7),(5,9),(6,4),(7,5),(8,6),(9,8)],10)
[10,9,3,4,5,6,8,7,2,1]=>([(4,5),(5,8),(8,9),(9,6),(9,7)],10)
[10,9,4,3,5,6,7,8,2,1]=>([(4,9),(5,9),(6,8),(8,7),(9,6)],10)
[10,3,4,5,6,7,9,8,2,1]=>([(3,8),(6,7),(7,9),(8,6),(9,4),(9,5)],10)
[10,4,3,5,6,7,8,9,2,1]=>([(3,9),(4,9),(5,8),(7,6),(8,7),(9,5)],10)
[1,7,5,6,8,4,9,3,10,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(3,7),(4,8),(5,9),(6,1),(7,9),(9,8)],10)
[1,2,3,4,5,8,6,9,7,10]=>([(0,6),(1,9),(2,8),(3,4),(4,7),(5,1),(5,8),(6,3),(7,2),(7,5),(8,9)],10)
[1,2,3,4,5,9,6,10,7,8]=>([(0,7),(2,9),(3,4),(4,8),(5,1),(6,5),(6,9),(7,3),(8,2),(8,6)],10)
[10,8,7,6,5,4,3,9,2,1]=>([(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[10,9,7,6,5,4,8,3,2,1]=>([(5,9),(6,9),(7,9),(8,9)],10)
[1,2,3,4,5,6,7,8,9,11,10]=>([(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,10),(9,7),(10,1),(10,2)],11)
[2,1,3,4,5,6,7,8,9,10,11]=>([(0,10),(1,10),(3,4),(4,6),(5,3),(6,8),(7,5),(8,2),(9,7),(10,9)],11)
[11,1,2,3,4,5,6,7,8,9,10]=>([(1,10),(3,5),(4,3),(5,7),(6,4),(7,9),(8,6),(9,2),(10,8)],11)
[10,1,2,3,4,5,6,7,8,11,9]=>([(0,10),(1,8),(3,5),(4,3),(5,7),(6,4),(7,9),(8,6),(9,2),(9,10)],11)
[11,1,2,3,4,5,6,7,10,8,9]=>([(1,9),(4,5),(5,7),(6,4),(7,10),(8,2),(9,6),(10,3),(10,8)],11)
[11,1,2,3,4,5,6,10,7,8,9]=>([(1,9),(4,6),(5,4),(6,10),(7,8),(8,2),(9,5),(10,3),(10,7)],11)
[10,1,2,3,4,5,11,6,7,8,9]=>([(0,10),(1,8),(3,7),(4,5),(5,9),(6,3),(7,2),(8,4),(9,6),(9,10)],11)
[11,1,2,3,4,10,5,6,7,8,9]=>([(1,9),(4,5),(5,8),(6,10),(7,4),(8,2),(9,6),(10,3),(10,7)],11)
[11,1,2,3,10,4,5,6,7,8,9]=>([(1,9),(4,6),(5,4),(6,8),(7,5),(8,2),(9,10),(10,3),(10,7)],11)
[10,1,2,11,3,4,5,6,7,8,9]=>([(0,10),(1,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,2),(9,7),(9,10)],11)
[11,1,10,2,3,4,5,6,7,8,9]=>([(1,3),(1,10),(4,5),(5,7),(6,4),(7,9),(8,6),(9,2),(10,8)],11)
[11,10,1,2,3,4,5,6,7,8,9]=>([(2,10),(4,5),(5,7),(6,4),(7,9),(8,6),(9,3),(10,8)],11)
[10,9,8,7,6,5,4,3,2,1,11]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11)
[1,11,10,9,8,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10)],11)
[2,3,4,5,6,7,8,9,10,11,1]=>([(1,10),(3,5),(4,3),(5,7),(6,4),(7,9),(8,6),(9,2),(10,8)],11)
[2,3,4,5,6,7,8,9,11,1,10]=>([(0,10),(1,8),(3,5),(4,3),(5,7),(6,4),(7,9),(8,6),(9,2),(9,10)],11)
[3,1,4,5,6,7,8,9,10,11,2]=>([(0,10),(1,3),(1,10),(4,6),(5,4),(6,8),(7,5),(8,2),(9,7),(10,9)],11)
[11,3,4,5,6,7,8,9,1,2,10]=>([(1,9),(2,4),(3,10),(4,10),(5,6),(6,8),(7,5),(8,3),(9,7)],11)
[11,1,4,5,6,7,8,9,10,2,3]=>([(1,9),(1,10),(4,6),(5,4),(6,8),(7,5),(8,3),(9,7),(10,2)],11)
[10,1,2,3,4,5,6,7,8,9,11]=>([(0,10),(1,9),(2,10),(3,4),(4,6),(5,3),(6,8),(7,5),(8,2),(9,7)],11)
[1,11,2,3,4,5,6,7,8,9,10]=>([(0,2),(0,10),(3,5),(4,3),(5,7),(6,4),(7,9),(8,6),(9,1),(10,8)],11)
[10,9,8,7,6,5,4,3,1,11,2]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(8,10)],11)
[9,11,8,7,6,5,4,3,2,1,10]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(8,10)],11)
[1,9,8,7,6,5,4,3,11,10,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10)],11)
[1,11,8,7,6,5,4,3,2,10,9]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10)],11)
[10,11,9,8,7,6,5,4,3,2,1]=>([(9,10)],11)
[11,10,9,8,7,6,5,4,3,1,2]=>([(9,10)],11)
[2,3,4,5,6,7,8,9,10,1,11]=>([(0,10),(1,9),(2,10),(3,4),(4,6),(5,3),(6,8),(7,5),(8,2),(9,7)],11)
[1,3,4,5,6,7,8,9,10,11,2]=>([(0,2),(0,10),(3,5),(4,3),(5,7),(6,4),(7,9),(8,6),(9,1),(10,8)],11)
[2,11,1,3,4,5,6,7,8,9,10]=>([(0,10),(1,3),(1,10),(4,6),(5,4),(6,8),(7,5),(8,2),(9,7),(10,9)],11)
[11,3,1,2,4,5,6,7,8,9,10]=>([(1,10),(2,4),(4,10),(5,6),(6,8),(7,5),(8,3),(9,7),(10,9)],11)
[11,4,1,2,3,5,6,7,8,9,10]=>([(1,10),(2,8),(4,10),(5,7),(6,5),(7,3),(8,4),(9,6),(10,9)],11)
[5,11,1,2,3,4,6,7,8,9,10]=>([(0,9),(1,4),(1,10),(3,10),(5,7),(6,3),(7,2),(8,5),(9,6),(10,8)],11)
[11,6,1,2,3,4,5,7,8,9,10]=>([(1,10),(2,8),(4,10),(5,6),(6,4),(7,3),(8,5),(9,7),(10,9)],11)
[11,7,1,2,3,4,5,6,8,9,10]=>([(1,10),(2,8),(4,10),(5,7),(6,5),(7,4),(8,6),(9,3),(10,9)],11)
[8,11,1,2,3,4,5,6,7,9,10]=>([(0,9),(1,4),(1,10),(2,10),(5,6),(6,8),(7,5),(8,2),(9,7),(10,3)],11)
[11,9,1,2,3,4,5,6,7,8,10]=>([(1,10),(2,9),(3,10),(4,6),(5,4),(6,8),(7,5),(8,3),(9,7)],11)
[11,9,8,7,6,5,4,3,2,1,10]=>([(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11)
[10,9,8,7,6,5,4,3,2,11,1]=>([(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11)
[9,8,10,7,6,5,4,3,2,1,11]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,9),(8,9),(9,10)],11)
[9,8,7,10,6,5,4,3,2,1,11]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,9),(7,9),(8,9),(9,10)],11)
[9,8,7,6,11,5,4,3,2,1,10]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10)],11)
[9,8,7,6,5,10,4,3,2,1,11]=>([(0,10),(1,10),(2,10),(3,10),(4,9),(5,9),(6,9),(7,9),(8,9),(9,10)],11)
[9,8,7,6,5,4,10,3,2,1,11]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,9),(7,9),(8,9),(10,9)],11)
[9,8,7,6,5,4,3,11,2,1,10]=>([(0,10),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10)],11)
[9,8,7,6,5,4,3,2,10,1,11]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(10,9)],11)
[9,8,7,6,5,4,3,2,1,10,11]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(10,9)],11)
[3,4,5,6,7,8,9,10,11,2,1]=>([(2,10),(4,5),(5,7),(6,4),(7,9),(8,6),(9,3),(10,8)],11)
[10,1,11,9,8,7,6,5,4,3,2]=>([(0,10),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10)],11)
[2,11,10,9,8,7,6,5,4,1,3]=>([(0,10),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10)],11)
[10,2,1,9,8,7,6,5,4,3,11]=>([(0,10),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11)
[3,2,10,9,8,7,6,5,4,1,11]=>([(0,10),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11)
[2,11,10,9,8,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10)],11)
[11,1,10,9,8,7,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10)],11)
[1,11,10,9,8,7,6,5,2,4,3]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(10,1),(10,2)],11)
[1,11,10,9,8,7,6,2,5,4,3]=>([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(10,1),(10,2),(10,3)],11)
[2,11,10,9,8,7,1,6,5,4,3]=>([(0,7),(0,8),(0,9),(0,10),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10)],11)
[1,11,10,9,8,2,7,6,5,4,3]=>([(0,6),(0,7),(0,8),(0,9),(0,10),(10,1),(10,2),(10,3),(10,4),(10,5)],11)
[1,11,10,9,2,8,7,6,5,4,3]=>([(0,7),(0,8),(0,9),(0,10),(10,1),(10,2),(10,3),(10,4),(10,5),(10,6)],11)
[2,11,10,1,9,8,7,6,5,4,3]=>([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10)],11)
[1,11,2,10,9,8,7,6,5,4,3]=>([(0,9),(0,10),(10,1),(10,2),(10,3),(10,4),(10,5),(10,6),(10,7),(10,8)],11)
[1,2,11,10,9,8,7,6,5,4,3]=>([(0,10),(10,1),(10,2),(10,3),(10,4),(10,5),(10,6),(10,7),(10,8),(10,9)],11)
[6,7,8,9,10,1,2,3,4,5,11]=>([(0,9),(1,8),(2,10),(3,10),(4,6),(5,7),(6,2),(7,3),(8,4),(9,5)],11)
[1,7,8,9,10,11,2,3,4,5,6]=>([(0,9),(0,10),(3,7),(4,8),(5,3),(6,4),(7,2),(8,1),(9,5),(10,6)],11)
[2,4,1,5,6,7,8,9,10,11,3]=>([(0,9),(0,10),(1,3),(1,9),(3,10),(4,6),(5,4),(6,8),(7,5),(8,2),(10,7)],11)
[2,3,4,5,6,7,8,10,1,11,9]=>([(0,9),(0,10),(1,7),(2,10),(3,4),(4,6),(5,3),(6,8),(7,5),(8,2),(8,9)],11)
[2,3,5,1,6,7,8,9,10,11,4]=>([(0,9),(0,10),(1,8),(3,10),(4,5),(5,7),(6,4),(7,2),(8,3),(8,9),(10,6)],11)
[2,3,4,5,6,7,9,1,10,11,8]=>([(0,9),(0,10),(1,7),(2,10),(4,6),(5,4),(6,8),(7,5),(8,2),(8,9),(10,3)],11)
[2,3,4,6,1,7,8,9,10,11,5]=>([(0,9),(0,10),(1,7),(3,10),(4,6),(5,4),(6,2),(7,8),(8,3),(8,9),(10,5)],11)
[2,3,4,5,6,8,1,9,10,11,7]=>([(0,9),(0,10),(1,7),(3,10),(4,5),(5,8),(6,2),(7,4),(8,3),(8,9),(10,6)],11)
[2,3,4,5,7,1,8,9,10,11,6]=>([(0,9),(0,10),(1,7),(3,10),(4,8),(5,6),(6,2),(7,4),(8,3),(8,9),(10,5)],11)
[1,2,3,4,6,8,5,7,10,9,11]=>([(0,5),(1,7),(2,8),(2,9),(3,6),(4,2),(4,7),(5,3),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10)],11)
[1,2,3,4,7,5,8,6,10,9,11]=>([(0,5),(1,7),(2,8),(2,9),(3,6),(4,2),(4,7),(5,3),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10)],11)
[11,10,9,8,7,6,5,4,3,2,1]=>([],11)
[2,1,11,10,9,8,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10)],11)
[1,2,3,4,5,6,7,8,10,11,9]=>([(0,9),(3,5),(4,3),(5,7),(6,4),(7,10),(8,1),(9,6),(10,2),(10,8)],11)
[2,4,1,3,6,5,8,7,10,9,11]=>([(0,10),(1,2),(1,10),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7),(10,8),(10,9)],11)
[11,3,4,5,6,7,8,9,10,1,2]=>([(1,10),(2,4),(5,7),(6,5),(7,9),(8,6),(9,3),(10,8)],11)
[10,3,4,5,6,7,8,9,1,11,2]=>([(0,10),(1,9),(2,4),(2,10),(3,10),(5,6),(6,8),(7,5),(8,3),(9,7)],11)
[9,3,4,5,6,7,8,1,10,11,2]=>([(0,10),(1,9),(2,5),(2,10),(3,10),(6,8),(7,6),(8,3),(9,7),(10,4)],11)
[8,3,4,5,6,7,1,9,10,11,2]=>([(0,10),(1,9),(2,5),(2,10),(4,10),(6,4),(7,6),(8,3),(9,7),(10,8)],11)
[7,3,4,5,6,1,8,9,10,11,2]=>([(0,10),(1,9),(2,5),(2,10),(4,10),(6,4),(7,3),(8,7),(9,6),(10,8)],11)
[6,3,4,5,1,7,8,9,10,11,2]=>([(0,10),(1,9),(2,5),(2,10),(4,10),(6,7),(7,3),(8,6),(9,4),(10,8)],11)
[5,3,4,1,6,7,8,9,10,11,2]=>([(0,10),(1,5),(2,4),(2,10),(5,10),(6,8),(7,6),(8,3),(9,7),(10,9)],11)
[4,3,1,5,6,7,8,9,10,11,2]=>([(0,10),(1,10),(2,4),(2,10),(5,6),(6,8),(7,5),(8,3),(9,7),(10,9)],11)
[2,11,4,5,6,7,8,9,10,1,3]=>([(0,10),(1,3),(1,9),(1,10),(4,6),(5,4),(6,8),(7,5),(8,2),(9,7)],11)
[10,9,4,5,6,7,8,1,2,11,3]=>([(0,10),(1,10),(2,8),(3,9),(5,10),(6,7),(7,5),(8,6),(9,4),(9,10)],11)
[2,11,10,5,6,7,8,9,1,3,4]=>([(0,10),(1,3),(1,4),(1,9),(1,10),(6,8),(7,2),(8,7),(9,6),(10,5)],11)
[11,2,3,4,5,6,7,8,9,10,1]=>([(2,10),(4,5),(5,7),(6,4),(7,9),(8,6),(9,3),(10,8)],11)
[10,9,1,2,3,4,5,6,7,11,8]=>([(0,10),(1,10),(2,8),(4,5),(5,7),(6,4),(7,9),(8,6),(9,3),(9,10)],11)
[2,11,10,1,3,4,5,6,7,8,9]=>([(0,10),(1,3),(1,4),(1,10),(5,7),(6,5),(7,2),(8,6),(9,8),(10,9)],11)
[2,4,1,6,3,5,8,7,10,9,11]=>([(0,2),(0,6),(1,6),(1,10),(2,9),(2,10),(4,3),(5,3),(6,9),(7,4),(7,5),(8,4),(8,5),(9,7),(9,8),(10,7),(10,8)],11)
[10,1,2,3,4,5,6,7,11,8,9]=>([(0,10),(1,8),(3,4),(4,6),(5,3),(6,9),(7,2),(8,5),(9,7),(9,10)],11)
[1,11,2,3,4,5,6,7,8,10,9]=>([(0,3),(0,9),(4,6),(5,4),(6,8),(7,5),(8,10),(9,7),(10,1),(10,2)],11)
[1,2,11,3,4,5,6,7,8,10,9]=>([(0,10),(4,6),(5,4),(6,8),(7,5),(8,9),(9,2),(9,3),(10,1),(10,7)],11)
[1,2,3,10,4,5,6,7,11,8,9]=>([(0,8),(2,10),(3,4),(4,7),(5,3),(6,1),(7,6),(7,10),(8,9),(9,2),(9,5)],11)
[1,2,3,4,11,5,6,7,8,10,9]=>([(0,8),(4,5),(5,10),(6,9),(7,4),(8,6),(9,3),(9,7),(10,1),(10,2)],11)
[1,2,3,4,5,11,6,7,8,10,9]=>([(0,8),(4,10),(5,6),(6,9),(7,4),(8,5),(9,3),(9,7),(10,1),(10,2)],11)
[1,2,3,4,5,6,10,7,11,8,9]=>([(0,8),(2,10),(3,5),(4,3),(5,9),(6,1),(7,6),(7,10),(8,4),(9,2),(9,7)],11)
[1,2,3,4,5,6,7,11,8,10,9]=>([(0,8),(4,5),(5,7),(6,4),(7,9),(8,6),(9,3),(9,10),(10,1),(10,2)],11)
[1,2,3,4,5,6,7,8,11,10,9]=>([(0,9),(4,6),(5,4),(6,8),(7,5),(8,10),(9,7),(10,1),(10,2),(10,3)],11)
[1,2,3,4,5,6,7,8,11,9,10]=>([(0,9),(3,5),(4,3),(5,7),(6,4),(7,10),(8,1),(9,6),(10,2),(10,8)],11)
[11,1,3,4,5,6,7,8,9,10,2]=>([(1,3),(1,10),(4,5),(5,7),(6,4),(7,9),(8,6),(9,2),(10,8)],11)
[10,2,3,4,5,6,7,8,11,1,9]=>([(0,10),(1,9),(2,8),(3,9),(3,10),(4,5),(5,7),(6,4),(7,3),(8,6)],11)
[10,11,3,4,5,6,7,8,9,1,2]=>([(0,10),(1,5),(2,4),(6,7),(7,9),(8,6),(9,3),(10,8)],11)
[7,1,2,3,4,5,11,6,8,9,10]=>([(0,9),(0,10),(1,7),(3,10),(4,5),(5,8),(6,2),(7,4),(8,3),(8,9),(10,6)],11)
[11,1,2,3,4,5,8,6,7,9,10]=>([(1,8),(2,10),(3,10),(5,6),(6,9),(7,2),(8,5),(9,3),(9,7),(10,4)],11)
[11,1,2,3,4,5,9,6,7,8,10]=>([(1,8),(2,10),(3,10),(4,5),(5,9),(6,7),(7,2),(8,4),(9,3),(9,6)],11)
[11,10,5,1,2,3,4,6,7,8,9]=>([(2,10),(3,8),(5,10),(6,5),(7,4),(8,6),(9,7),(10,9)],11)
[11,10,1,5,2,3,4,6,7,8,9]=>([(2,5),(2,8),(4,10),(5,10),(6,3),(7,4),(8,7),(9,6),(10,9)],11)
[5,11,1,2,10,3,4,6,7,8,9]=>([(0,8),(1,4),(1,9),(1,10),(3,10),(5,6),(6,2),(7,3),(8,7),(8,9),(10,5)],11)
[5,11,1,2,3,10,4,6,7,8,9]=>([(0,8),(1,4),(1,9),(1,10),(3,10),(5,6),(6,2),(7,3),(7,9),(8,7),(10,5)],11)
[2,3,4,5,6,7,8,10,11,1,9]=>([(0,10),(1,8),(3,4),(4,6),(5,3),(6,9),(7,2),(8,5),(9,7),(9,10)],11)
[2,4,5,6,7,8,9,10,11,1,3]=>([(0,10),(1,9),(1,10),(3,4),(4,6),(5,3),(6,8),(7,5),(8,2),(9,7)],11)
[3,4,5,6,7,8,9,10,11,1,2]=>([(0,10),(1,3),(4,5),(5,7),(6,4),(7,9),(8,6),(9,2),(10,8)],11)
[10,11,1,9,2,3,4,5,6,7,8]=>([(0,4),(1,3),(1,10),(5,7),(6,5),(7,9),(8,6),(9,2),(10,8)],11)
[1,2,3,4,5,6,7,8,9,10,11]=>([(0,10),(2,3),(3,5),(4,2),(5,7),(6,4),(7,9),(8,6),(9,1),(10,8)],11)
[10,1,11,2,3,4,5,6,7,8,9]=>([(0,10),(1,9),(1,10),(3,4),(4,6),(5,3),(6,8),(7,5),(8,2),(9,7)],11)
[10,11,1,2,3,4,5,6,7,8,9]=>([(0,10),(1,3),(4,5),(5,7),(6,4),(7,9),(8,6),(9,2),(10,8)],11)
[3,1,4,2,6,5,8,7,10,9,11]=>([(0,10),(1,2),(1,10),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7),(10,8),(10,9)],11)
[1,2,3,4,5,6,7,8,10,9,11]=>([(0,8),(1,10),(2,10),(3,5),(4,3),(5,7),(6,4),(7,9),(8,6),(9,1),(9,2)],11)
[11,2,3,4,5,6,7,8,9,1,10]=>([(1,10),(2,9),(3,10),(4,6),(5,4),(6,8),(7,5),(8,3),(9,7)],11)
[3,11,1,4,5,6,7,8,9,10,2]=>([(0,4),(0,10),(1,3),(1,10),(5,6),(6,8),(7,5),(8,2),(9,7),(10,9)],11)
[9,1,11,3,4,5,6,7,8,2,10]=>([(0,9),(0,10),(1,3),(1,8),(1,9),(2,10),(3,10),(4,5),(5,7),(6,4),(7,2),(8,6)],11)
[2,3,4,5,6,7,8,9,11,10,1]=>([(1,9),(4,6),(5,4),(6,8),(7,5),(8,10),(9,7),(10,2),(10,3)],11)
[3,1,11,5,6,7,8,9,10,2,4]=>([(0,8),(0,9),(0,10),(1,3),(1,9),(1,10),(3,8),(4,5),(5,7),(6,4),(7,2),(10,6)],11)
[2,3,1,4,5,6,7,8,9,10,11]=>([(0,10),(1,3),(3,10),(4,6),(5,4),(6,8),(7,5),(8,2),(9,7),(10,9)],11)
[3,1,2,4,5,6,7,8,9,10,11]=>([(0,10),(1,3),(3,10),(4,6),(5,4),(6,8),(7,5),(8,2),(9,7),(10,9)],11)
[3,4,5,6,7,8,9,10,1,2,11]=>([(0,9),(1,3),(2,10),(3,10),(4,6),(5,4),(6,8),(7,5),(8,2),(9,7)],11)
[3,4,5,6,7,9,10,11,1,2,8]=>([(0,9),(1,3),(3,10),(4,8),(5,7),(6,4),(7,2),(8,5),(8,10),(9,6)],11)
[3,4,6,7,8,9,10,11,1,2,5]=>([(0,9),(1,3),(3,10),(4,6),(5,4),(6,8),(7,5),(8,2),(9,7),(9,10)],11)
[11,1,10,5,6,7,8,9,2,3,4]=>([(1,4),(1,9),(1,10),(5,7),(6,5),(7,3),(8,2),(9,8),(10,6)],11)
[10,1,11,9,6,7,8,2,3,4,5]=>([(0,10),(1,4),(1,8),(1,9),(1,10),(5,6),(6,2),(7,3),(8,7),(9,5)],11)
[9,1,10,11,8,7,2,3,4,5,6]=>([(0,10),(1,3),(1,4),(1,9),(1,10),(6,8),(7,2),(8,7),(9,6),(10,5)],11)
[8,1,9,10,11,2,3,4,5,6,7]=>([(0,10),(1,8),(1,10),(4,5),(5,7),(6,4),(7,2),(8,6),(9,3),(10,9)],11)
[11,1,10,9,2,3,4,5,6,7,8]=>([(1,3),(1,4),(1,10),(5,7),(6,5),(7,9),(8,6),(9,2),(10,8)],11)
[9,8,7,6,5,4,3,2,1,11,10]=>([(0,9),(0,10),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10)],11)
[2,3,4,5,6,7,10,9,11,8,1]=>([(1,8),(3,10),(4,10),(5,7),(6,5),(7,9),(8,6),(9,2),(9,3),(9,4)],11)
[2,3,4,5,6,10,8,9,11,7,1]=>([(1,8),(3,10),(4,10),(5,6),(6,9),(7,3),(8,5),(9,2),(9,4),(9,7)],11)
[2,3,4,5,10,7,8,9,11,1,6]=>([(0,10),(1,7),(2,9),(3,9),(4,8),(5,6),(6,2),(7,4),(8,3),(8,5),(8,10)],11)
[2,3,4,10,6,7,8,9,11,5,1]=>([(1,8),(3,10),(4,10),(5,7),(6,5),(7,3),(8,9),(9,2),(9,4),(9,6)],11)
[2,3,10,5,6,7,8,9,11,4,1]=>([(1,9),(3,10),(4,10),(5,6),(6,8),(7,5),(8,3),(9,2),(9,4),(9,7)],11)
[2,10,4,5,6,7,8,9,11,1,3]=>([(0,10),(1,3),(1,8),(1,10),(2,9),(3,9),(4,5),(5,7),(6,4),(7,2),(8,6)],11)
[10,3,4,5,6,7,8,9,11,2,1]=>([(2,10),(3,9),(4,10),(5,6),(6,8),(7,5),(8,4),(9,7)],11)
[1,3,2,5,4,7,6,9,8,11,10]=>([(0,1),(0,2),(1,9),(1,10),(2,9),(2,10),(5,7),(5,8),(6,7),(6,8),(7,3),(7,4),(8,3),(8,4),(9,5),(9,6),(10,5),(10,6)],11)
[10,9,11,8,7,6,5,4,3,2,1]=>([(8,10),(9,10)],11)
[3,4,5,6,7,8,9,10,1,11,2]=>([(0,9),(1,3),(1,10),(2,10),(4,6),(5,4),(6,8),(7,5),(8,2),(9,7)],11)
[6,5,7,4,8,3,9,2,10,1,11]=>([(0,6),(1,6),(2,8),(3,9),(4,10),(5,7),(6,10),(8,9),(9,7),(10,8)],11)
[1,7,6,8,5,9,4,10,3,11,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(2,7),(3,7),(4,9),(5,10),(6,8),(7,10),(9,8),(10,9)],11)
[2,3,4,5,6,7,8,11,10,1,9]=>([(0,10),(1,8),(4,5),(5,7),(6,4),(7,9),(8,6),(9,2),(9,3),(9,10)],11)
[11,3,4,5,6,7,8,10,1,2,9]=>([(1,9),(2,4),(4,10),(5,6),(6,8),(7,5),(8,3),(8,10),(9,7)],11)
[3,2,4,5,6,7,8,9,10,11,1]=>([(1,10),(2,10),(4,6),(5,4),(6,8),(7,5),(8,3),(9,7),(10,9)],11)
[3,4,5,6,7,8,1,9,2,11,10]=>([(0,7),(1,3),(1,10),(2,10),(3,8),(3,9),(4,6),(5,4),(6,2),(7,5),(10,8),(10,9)],11)
[1,4,5,6,7,11,8,9,2,10,3]=>([(0,7),(0,8),(3,10),(4,5),(5,9),(6,3),(7,4),(8,1),(8,10),(9,2),(9,6)],11)
[8,9,10,7,6,1,2,3,4,11,5]=>([(0,10),(1,10),(2,7),(3,8),(5,10),(6,9),(7,6),(8,5),(9,4),(9,10)],11)
[2,9,10,11,8,7,1,3,4,5,6]=>([(0,10),(1,4),(1,5),(1,8),(1,10),(6,2),(7,3),(8,6),(9,7),(10,9)],11)
[7,8,9,10,1,2,3,4,5,11,6]=>([(0,8),(1,9),(3,10),(4,7),(5,4),(6,3),(7,2),(7,10),(8,5),(9,6)],11)
[2,8,9,10,11,1,3,4,5,6,7]=>([(0,10),(1,8),(1,10),(4,6),(5,7),(6,2),(7,3),(8,4),(9,5),(10,9)],11)
[2,3,4,5,6,7,8,11,1,9,10]=>([(0,10),(1,8),(4,5),(5,7),(6,4),(7,9),(8,6),(9,2),(9,10),(10,3)],11)
[2,3,4,5,6,7,11,1,8,9,10]=>([(0,10),(1,7),(4,6),(5,4),(6,8),(7,5),(8,2),(8,10),(9,3),(10,9)],11)
[2,3,4,5,6,11,1,7,8,9,10]=>([(0,10),(1,7),(4,5),(5,8),(6,2),(7,4),(8,3),(8,10),(9,6),(10,9)],11)
[2,3,4,5,11,1,6,7,8,9,10]=>([(0,10),(1,7),(4,8),(5,6),(6,2),(7,4),(8,3),(8,10),(9,5),(10,9)],11)
[2,3,4,11,1,5,6,7,8,9,10]=>([(0,10),(1,7),(4,6),(5,4),(6,2),(7,8),(8,3),(8,10),(9,5),(10,9)],11)
[2,3,11,1,4,5,6,7,8,9,10]=>([(0,10),(1,8),(4,5),(5,7),(6,4),(7,2),(8,3),(8,10),(9,6),(10,9)],11)
[3,1,4,5,6,7,8,9,11,2,10]=>([(0,10),(1,3),(1,10),(3,9),(4,6),(5,4),(6,8),(7,5),(8,2),(8,9),(10,7)],11)
[2,11,1,3,4,5,6,7,10,8,9]=>([(0,10),(1,4),(1,10),(5,6),(6,9),(7,2),(8,5),(9,3),(9,7),(10,8)],11)
[2,10,1,3,4,5,6,7,8,11,9]=>([(0,10),(1,3),(1,10),(3,9),(4,6),(5,4),(6,8),(7,5),(8,2),(8,9),(10,7)],11)
[11,2,1,3,4,5,6,7,8,9,10]=>([(1,10),(2,10),(4,6),(5,4),(6,8),(7,5),(8,3),(9,7),(10,9)],11)
[11,10,2,3,4,5,6,7,8,9,1]=>([(3,10),(5,7),(6,5),(7,9),(8,6),(9,4),(10,8)],11)
[11,3,4,5,6,7,8,9,10,2,1]=>([(3,10),(5,7),(6,5),(7,9),(8,6),(9,4),(10,8)],11)
[9,11,1,2,3,4,5,6,7,8,10]=>([(0,9),(1,3),(1,10),(2,10),(4,6),(5,4),(6,8),(7,5),(8,2),(9,7)],11)
[11,10,9,8,6,7,5,4,3,2,1]=>([(9,10)],11)
[11,1,2,3,4,5,6,10,8,7,9]=>([(1,8),(3,10),(4,10),(5,7),(6,5),(7,9),(8,6),(9,2),(9,3),(9,4)],11)
[11,1,2,3,4,5,10,7,8,6,9]=>([(1,8),(3,10),(4,10),(5,6),(6,9),(7,3),(8,5),(9,2),(9,4),(9,7)],11)
[10,1,2,3,4,11,6,7,8,5,9]=>([(0,10),(1,7),(2,9),(3,9),(4,8),(5,6),(6,2),(7,4),(8,3),(8,5),(8,10)],11)
[11,1,2,3,10,5,6,7,8,4,9]=>([(1,8),(3,10),(4,10),(5,7),(6,5),(7,3),(8,9),(9,2),(9,4),(9,6)],11)
[11,1,2,10,4,5,6,7,8,3,9]=>([(1,9),(3,10),(4,10),(5,6),(6,8),(7,5),(8,3),(9,2),(9,4),(9,7)],11)
[10,1,11,3,4,5,6,7,8,2,9]=>([(0,10),(1,3),(1,8),(1,10),(2,9),(3,9),(4,5),(5,7),(6,4),(7,2),(8,6)],11)
[11,10,2,3,4,5,6,7,8,1,9]=>([(2,10),(3,9),(4,10),(5,6),(6,8),(7,5),(8,4),(9,7)],11)
[11,10,2,1,4,5,6,7,8,9,3]=>([(2,9),(2,10),(3,9),(3,10),(5,6),(6,8),(7,5),(8,4),(10,7)],11)
[10,11,8,1,2,3,4,5,6,7,9]=>([(0,10),(1,9),(2,4),(3,10),(5,6),(6,8),(7,5),(8,3),(9,7)],11)
[6,7,5,4,3,2,1,8,9,10,11]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,6),(6,10),(7,8),(8,9),(10,7)],11)
[7,6,5,4,3,1,2,8,9,10,11]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,6),(6,10),(7,8),(8,9),(10,7)],11)
[11,10,9,8,5,7,6,4,3,2,1]=>([(8,9),(8,10)],11)
[11,10,9,8,6,5,7,4,3,2,1]=>([(8,10),(9,10)],11)
[8,9,1,2,3,4,5,6,10,11,7]=>([(0,9),(1,4),(4,10),(5,6),(6,8),(7,5),(8,2),(8,10),(9,7),(10,3)],11)
[2,3,4,5,6,7,8,9,1,11,10]=>([(0,9),(0,10),(1,8),(2,9),(2,10),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6)],11)
[3,4,1,5,6,7,8,9,10,11,2]=>([(0,4),(1,3),(1,10),(4,10),(5,6),(6,8),(7,5),(8,2),(9,7),(10,9)],11)
[1,3,4,5,6,7,8,9,11,2,10]=>([(0,2),(0,9),(2,10),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(8,10),(9,7)],11)
[1,4,2,5,6,7,8,9,11,10,3]=>([(0,4),(0,8),(4,10),(5,6),(6,9),(7,5),(8,1),(8,10),(9,2),(9,3),(10,7)],11)
[1,2,10,3,4,5,6,7,8,11,9]=>([(0,9),(2,10),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(8,10),(9,2),(9,7)],11)
[1,2,3,4,5,10,6,7,8,11,9]=>([(0,8),(2,10),(3,7),(4,5),(5,9),(6,3),(7,1),(7,10),(8,4),(9,2),(9,6)],11)
[11,9,10,8,7,6,5,4,3,2,1]=>([(9,10)],11)
[10,8,11,9,7,6,5,4,3,2,1]=>([(7,10),(8,9),(8,10)],11)
[10,8,6,5,4,3,2,1,11,9,7]=>([(0,10),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10)],11)
[10,8,6,11,9,7,5,4,3,2,1]=>([(5,10),(6,9),(6,10),(7,8),(7,9),(7,10)],11)
[11,9,7,5,10,8,6,4,3,2,1]=>([(5,10),(6,9),(6,10),(7,8),(7,9),(7,10)],11)
[11,9,7,5,3,2,1,10,8,6,4]=>([(1,10),(2,9),(2,10),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10)],11)
[11,9,7,5,3,10,8,6,4,2,1]=>([(3,10),(4,9),(4,10),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10)],11)
[10,8,6,4,2,11,9,7,5,3,1]=>([(1,10),(2,9),(2,10),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10)],11)
[5,6,7,8,9,11,1,2,3,4,10]=>([(0,8),(1,9),(3,10),(4,7),(5,4),(6,3),(7,2),(7,10),(8,5),(9,6)],11)
[6,1,7,8,9,10,11,2,3,4,5]=>([(0,10),(1,8),(1,10),(4,6),(5,7),(6,2),(7,3),(8,4),(9,5),(10,9)],11)
[3,4,5,6,7,8,9,11,1,10,2]=>([(0,9),(1,3),(1,10),(4,6),(5,4),(6,8),(7,5),(8,2),(8,10),(9,7)],11)
[3,4,5,6,7,8,10,11,1,9,2]=>([(0,9),(1,3),(1,10),(4,5),(5,8),(6,4),(7,2),(8,7),(8,10),(9,6)],11)
[3,4,5,6,8,9,10,11,1,7,2]=>([(0,9),(1,3),(1,10),(4,7),(5,4),(6,8),(7,2),(8,5),(8,10),(9,6)],11)
[3,4,5,7,8,9,10,11,1,6,2]=>([(0,9),(1,3),(1,10),(4,5),(5,7),(6,4),(7,2),(8,6),(8,10),(9,8)],11)
[3,5,6,7,8,9,10,11,1,4,2]=>([(0,9),(0,10),(1,3),(1,10),(4,6),(5,4),(6,8),(7,5),(8,2),(9,7)],11)
[4,5,6,7,8,9,10,11,1,3,2]=>([(0,10),(1,3),(1,4),(5,6),(6,8),(7,5),(8,2),(9,7),(10,9)],11)
[10,2,3,4,5,6,7,8,9,11,1]=>([(1,10),(2,9),(3,10),(4,6),(5,4),(6,8),(7,5),(8,3),(9,7)],11)
[2,10,4,5,6,7,8,9,1,11,3]=>([(0,9),(0,10),(1,3),(1,8),(1,9),(2,10),(3,10),(4,5),(5,7),(6,4),(7,2),(8,6)],11)
[4,3,11,5,6,7,8,9,10,2,1]=>([(2,9),(2,10),(3,9),(3,10),(5,6),(6,8),(7,5),(8,4),(10,7)],11)
[8,11,1,2,3,4,5,9,10,6,7]=>([(0,9),(1,4),(1,10),(5,8),(6,5),(7,2),(8,7),(8,10),(9,6),(10,3)],11)
[10,11,1,2,3,4,8,9,5,6,7]=>([(0,9),(1,4),(5,10),(6,7),(7,3),(8,2),(9,5),(10,6),(10,8)],11)
[10,11,1,2,3,9,8,4,5,6,7]=>([(0,9),(1,5),(6,8),(7,4),(8,7),(9,10),(10,2),(10,3),(10,6)],11)
[10,9,1,2,11,8,3,4,5,6,7]=>([(0,10),(1,10),(2,9),(5,6),(6,8),(7,5),(8,3),(9,4),(9,7),(9,10)],11)
[9,8,1,10,11,2,3,4,5,6,7]=>([(0,10),(1,10),(2,9),(2,10),(5,6),(6,8),(7,5),(8,3),(9,7),(10,4)],11)
[11,8,9,10,1,2,3,4,5,6,7]=>([(1,10),(2,9),(5,6),(6,8),(7,5),(8,4),(9,7),(10,3)],11)
[2,3,4,5,6,7,11,9,10,1,8]=>([(0,10),(1,8),(4,6),(5,4),(6,9),(7,2),(8,5),(9,3),(9,7),(9,10)],11)
[2,3,4,5,6,11,8,9,10,1,7]=>([(0,10),(1,8),(4,5),(5,9),(6,7),(7,2),(8,4),(9,3),(9,6),(9,10)],11)
[2,3,4,5,11,7,8,9,10,1,6]=>([(0,10),(1,8),(4,7),(5,9),(6,4),(7,2),(8,5),(9,3),(9,6),(9,10)],11)
[2,3,4,11,6,7,8,9,10,1,5]=>([(0,10),(1,8),(4,5),(5,7),(6,4),(7,2),(8,9),(9,3),(9,6),(9,10)],11)
[2,3,11,5,6,7,8,9,10,1,4]=>([(0,10),(1,9),(4,6),(5,4),(6,8),(7,5),(8,2),(9,3),(9,7),(9,10)],11)
[3,4,5,6,7,8,10,11,9,1,2]=>([(0,9),(1,4),(5,7),(6,5),(7,10),(8,2),(9,6),(10,3),(10,8)],11)
[3,4,5,6,7,9,10,11,8,1,2]=>([(0,9),(1,4),(5,6),(6,10),(7,8),(8,2),(9,5),(10,3),(10,7)],11)
[3,4,5,7,8,9,10,11,6,1,2]=>([(0,9),(1,4),(5,6),(6,8),(7,5),(8,2),(9,10),(10,3),(10,7)],11)
[3,4,6,7,8,9,10,11,5,1,2]=>([(0,4),(1,10),(5,7),(6,5),(7,9),(8,6),(9,2),(10,3),(10,8)],11)
[4,5,6,7,8,9,10,11,3,1,2]=>([(1,10),(2,4),(5,7),(6,5),(7,9),(8,6),(9,3),(10,8)],11)
[4,5,6,7,8,9,10,11,2,1,3]=>([(0,10),(1,10),(2,9),(4,6),(5,4),(6,8),(7,5),(8,3),(9,7)],11)
[11,10,3,4,5,6,7,9,8,2,1]=>([(4,9),(7,8),(8,10),(9,7),(10,5),(10,6)],11)
[11,10,4,3,5,6,7,8,9,2,1]=>([(4,10),(5,10),(6,9),(8,7),(9,8),(10,6)],11)
[2,1,4,3,6,5,8,7,10,9,12,11]=>([(0,10),(0,11),(1,10),(1,11),(4,8),(4,9),(5,8),(5,9),(6,4),(6,5),(7,4),(7,5),(8,2),(8,3),(9,2),(9,3),(10,6),(10,7),(11,6),(11,7)],12)
[2,1,4,3,6,5,8,7,12,11,10,9]=>([(0,8),(0,9),(1,8),(1,9),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,2),(10,3),(10,4),(10,5),(11,2),(11,3),(11,4),(11,5)],12)
[2,1,4,3,6,5,10,9,8,7,12,11]=>([(0,6),(0,7),(1,6),(1,7),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,8),(6,9),(7,8),(7,9),(8,2),(8,3),(8,4),(8,5),(9,2),(9,3),(9,4),(9,5)],12)
[2,1,4,3,6,5,12,9,8,11,10,7]=>([(0,8),(0,9),(1,8),(1,9),(6,4),(6,5),(7,4),(7,5),(8,10),(8,11),(9,10),(9,11),(10,2),(10,3),(10,6),(10,7),(11,2),(11,3),(11,6),(11,7)],12)
[2,1,4,3,6,5,12,11,10,9,8,7]=>([(0,8),(0,9),(1,8),(1,9),(8,10),(8,11),(9,10),(9,11),(10,2),(10,3),(10,4),(10,5),(10,6),(10,7),(11,2),(11,3),(11,4),(11,5),(11,6),(11,7)],12)
[2,1,4,3,8,7,6,5,10,9,12,11]=>([(0,8),(0,9),(1,8),(1,9),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(8,2),(8,3),(8,4),(8,5),(9,2),(9,3),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)
[2,1,4,3,8,7,6,5,12,11,10,9]=>([(0,6),(0,7),(1,6),(1,7),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],12)
[2,1,4,3,10,7,6,9,8,5,12,11]=>([(0,8),(0,9),(1,8),(1,9),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,4),(6,5),(7,4),(7,5),(8,2),(8,3),(8,6),(8,7),(9,2),(9,3),(9,6),(9,7)],12)
[2,1,4,3,12,7,6,9,8,11,10,5]=>([(0,10),(0,11),(1,10),(1,11),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,2),(10,3),(10,6),(10,7),(11,2),(11,3),(11,6),(11,7)],12)
[2,1,4,3,12,7,6,11,10,9,8,5]=>([(0,10),(0,11),(1,10),(1,11),(8,4),(8,5),(8,6),(8,7),(9,4),(9,5),(9,6),(9,7),(10,2),(10,3),(10,8),(10,9),(11,2),(11,3),(11,8),(11,9)],12)
[2,1,4,3,10,9,8,7,6,5,12,11]=>([(0,8),(0,9),(1,8),(1,9),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,2),(8,3),(8,4),(8,5),(8,6),(8,7),(9,2),(9,3),(9,4),(9,5),(9,6),(9,7)],12)
[2,1,4,3,12,9,8,7,6,11,10,5]=>([(0,8),(0,9),(1,8),(1,9),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,2),(8,3),(8,4),(8,5),(8,6),(8,7),(9,2),(9,3),(9,4),(9,5),(9,6),(9,7)],12)
[2,1,4,3,12,11,8,7,10,9,6,5]=>([(0,10),(0,11),(1,10),(1,11),(8,6),(8,7),(9,6),(9,7),(10,2),(10,3),(10,4),(10,5),(10,8),(10,9),(11,2),(11,3),(11,4),(11,5),(11,8),(11,9)],12)
[2,1,4,3,12,11,10,9,8,7,6,5]=>([(0,10),(0,11),(1,10),(1,11),(10,2),(10,3),(10,4),(10,5),(10,6),(10,7),(10,8),(10,9),(11,2),(11,3),(11,4),(11,5),(11,6),(11,7),(11,8),(11,9)],12)
[2,1,6,5,4,3,8,7,10,9,12,11]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,2),(8,3),(9,2),(9,3),(10,8),(10,9),(11,8),(11,9)],12)
[2,1,6,5,4,3,8,7,12,11,10,9]=>([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,2),(10,3),(10,4),(10,5),(11,2),(11,3),(11,4),(11,5)],12)
[2,1,6,5,4,3,10,9,8,7,12,11]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(8,6),(8,7),(9,6),(9,7),(10,6),(10,7),(11,6),(11,7)],12)
[2,1,6,5,4,3,12,9,8,11,10,7]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(10,2),(10,3),(11,2),(11,3)],12)
[2,1,6,5,4,3,12,11,10,9,8,7]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[2,1,8,5,4,7,6,3,10,9,12,11]=>([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,10),(2,11),(3,10),(3,11),(6,10),(6,11),(7,10),(7,11),(8,2),(8,3),(9,2),(9,3),(10,4),(10,5),(11,4),(11,5)],12)
[2,1,8,5,4,7,6,3,12,11,10,9]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,2),(6,3),(7,2),(7,3)],12)
[2,1,10,5,4,7,6,9,8,3,12,11]=>([(0,4),(0,5),(0,8),(0,9),(1,4),(1,5),(1,8),(1,9),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,2),(6,3),(7,2),(7,3),(8,6),(8,7),(9,6),(9,7)],12)
[2,1,12,5,4,7,6,9,8,11,10,3]=>([(0,4),(0,5),(0,10),(0,11),(1,4),(1,5),(1,10),(1,11),(6,8),(6,9),(7,8),(7,9),(8,2),(8,3),(9,2),(9,3),(10,6),(10,7),(11,6),(11,7)],12)
[2,1,12,5,4,7,6,11,10,9,8,3]=>([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(8,10),(8,11),(9,10),(9,11),(10,2),(10,3),(10,4),(10,5),(11,2),(11,3),(11,4),(11,5)],12)
[2,1,10,5,4,9,8,7,6,3,12,11]=>([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,2),(8,3),(8,4),(8,5),(9,2),(9,3),(9,4),(9,5)],12)
[2,1,12,5,4,9,8,7,6,11,10,3]=>([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(8,2),(8,3),(8,4),(8,5),(9,2),(9,3),(9,4),(9,5)],12)
[2,1,12,5,4,11,8,7,10,9,6,3]=>([(0,6),(0,7),(0,10),(0,11),(1,6),(1,7),(1,10),(1,11),(8,4),(8,5),(9,4),(9,5),(10,2),(10,3),(10,8),(10,9),(11,2),(11,3),(11,8),(11,9)],12)
[2,1,12,5,4,11,10,9,8,7,6,3]=>([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(10,2),(10,3),(10,4),(10,5),(10,6),(10,7),(11,2),(11,3),(11,4),(11,5),(11,6),(11,7)],12)
[2,1,8,7,6,5,4,3,10,9,12,11]=>([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,2),(10,3),(11,2),(11,3)],12)
[2,1,8,7,6,5,4,3,12,11,10,9]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[2,1,10,7,6,5,4,9,8,3,12,11]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,10),(2,11),(3,10),(3,11),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,12,7,6,5,4,9,8,11,10,3]=>([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,2),(10,3),(11,2),(11,3)],12)
[2,1,12,7,6,5,4,11,10,9,8,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[2,1,10,9,6,5,8,7,4,3,12,11]=>([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,2),(8,3),(9,2),(9,3)],12)
[2,1,12,9,6,5,8,7,4,11,10,3]=>([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,10),(2,11),(3,10),(3,11),(6,10),(6,11),(7,10),(7,11),(8,2),(8,3),(9,2),(9,3)],12)
[2,1,12,11,6,5,8,7,10,9,4,3]=>([(0,4),(0,5),(0,6),(0,7),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,10),(1,11),(8,2),(8,3),(9,2),(9,3),(10,8),(10,9),(11,8),(11,9)],12)
[2,1,12,11,6,5,10,9,8,7,4,3]=>([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(10,2),(10,3),(10,4),(10,5),(11,2),(11,3),(11,4),(11,5)],12)
[2,1,10,9,8,7,6,5,4,3,12,11]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,12,9,8,7,6,5,4,11,10,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,12,11,8,7,6,5,10,9,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,12,11,10,7,6,9,8,5,4,3]=>([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(10,2),(10,3),(11,2),(11,3)],12)
[2,1,12,11,10,9,8,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11)],12)
[4,3,2,1,6,5,8,7,10,9,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7),(10,8),(10,9),(11,8),(11,9)],12)
[4,3,2,1,6,5,8,7,12,11,10,9]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(8,4),(8,5),(8,6),(8,7),(9,4),(9,5),(9,6),(9,7),(10,8),(10,9),(11,8),(11,9)],12)
[4,3,2,1,6,5,10,9,8,7,12,11]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,4),(8,5),(8,6),(8,7),(9,4),(9,5),(9,6),(9,7)],12)
[4,3,2,1,6,5,12,9,8,11,10,7]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(10,8),(10,9),(11,6),(11,7),(11,8),(11,9)],12)
[4,3,2,1,6,5,12,11,10,9,8,7]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(10,4),(10,5),(10,6),(10,7),(10,8),(10,9),(11,4),(11,5),(11,6),(11,7),(11,8),(11,9)],12)
[4,3,2,1,8,7,6,5,10,9,12,11]=>([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7),(10,6),(10,7),(11,6),(11,7)],12)
[4,3,2,1,8,7,6,5,12,11,10,9]=>([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(8,4),(8,5),(8,6),(8,7),(9,4),(9,5),(9,6),(9,7),(10,4),(10,5),(10,6),(10,7),(11,4),(11,5),(11,6),(11,7)],12)
[4,3,2,1,10,7,6,9,8,5,12,11]=>([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(5,6),(5,7),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)
[4,3,2,1,12,7,6,9,8,11,10,5]=>([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(5,6),(5,7),(10,4),(10,5),(11,4),(11,5)],12)
[4,3,2,1,12,7,6,11,10,9,8,5]=>([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(10,4),(10,5),(10,6),(10,7),(11,4),(11,5),(11,6),(11,7)],12)
[4,3,2,1,10,9,8,7,6,5,12,11]=>([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[4,3,2,1,12,9,8,7,6,11,10,5]=>([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(8,4),(8,5),(9,4),(9,5),(10,4),(10,5),(11,4),(11,5)],12)
[4,3,2,1,12,11,8,7,10,9,6,5]=>([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(10,4),(10,5),(11,4),(11,5)],12)
[4,3,2,1,12,11,10,9,8,7,6,5]=>([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11)],12)
[6,3,2,5,4,1,8,7,10,9,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,6),(2,7),(3,6),(3,7),(6,10),(6,11),(7,10),(7,11),(8,4),(8,5),(9,4),(9,5),(10,8),(10,9),(11,8),(11,9)],12)
[6,3,2,5,4,1,8,7,12,11,10,9]=>([(0,10),(0,11),(1,10),(1,11),(2,4),(2,5),(3,4),(3,5),(4,10),(4,11),(5,10),(5,11),(10,6),(10,7),(10,8),(10,9),(11,6),(11,7),(11,8),(11,9)],12)
[6,3,2,5,4,1,10,9,8,7,12,11]=>([(0,4),(0,5),(1,4),(1,5),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(8,6),(8,7),(9,6),(9,7),(10,6),(10,7),(11,6),(11,7)],12)
[6,3,2,5,4,1,12,9,8,11,10,7]=>([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(3,6),(3,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(10,4),(10,5),(11,4),(11,5)],12)
[6,3,2,5,4,1,12,11,10,9,8,7]=>([(0,4),(0,5),(1,4),(1,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[8,3,2,5,4,7,6,1,10,9,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,8),(2,9),(3,8),(3,9),(4,10),(4,11),(5,10),(5,11),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)
[8,3,2,5,4,7,6,1,12,11,10,9]=>([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[10,3,2,5,4,7,6,9,8,1,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,8),(2,9),(3,8),(3,9),(4,10),(4,11),(5,10),(5,11),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],12)
[12,3,2,5,4,7,6,9,8,11,10,1]=>([(2,10),(2,11),(3,10),(3,11),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)
[12,3,2,5,4,7,6,11,10,9,8,1]=>([(2,8),(2,9),(3,8),(3,9),(8,10),(8,11),(9,10),(9,11),(10,4),(10,5),(10,6),(10,7),(11,4),(11,5),(11,6),(11,7)],12)
[10,3,2,5,4,9,8,7,6,1,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,8),(2,9),(3,8),(3,9),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,4),(8,5),(8,6),(8,7),(9,4),(9,5),(9,6),(9,7)],12)
[12,3,2,5,4,9,8,7,6,11,10,1]=>([(2,8),(2,9),(3,8),(3,9),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,4),(8,5),(8,6),(8,7),(9,4),(9,5),(9,6),(9,7)],12)
[12,3,2,5,4,11,8,7,10,9,6,1]=>([(2,10),(2,11),(3,10),(3,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(10,8),(10,9),(11,4),(11,5),(11,8),(11,9)],12)
[12,3,2,5,4,11,10,9,8,7,6,1]=>([(2,10),(2,11),(3,10),(3,11),(10,4),(10,5),(10,6),(10,7),(10,8),(10,9),(11,4),(11,5),(11,6),(11,7),(11,8),(11,9)],12)
[8,3,2,7,6,5,4,1,10,9,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(10,8),(10,9),(11,8),(11,9)],12)
[8,3,2,7,6,5,4,1,12,11,10,9]=>([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[10,3,2,7,6,5,4,9,8,1,12,11]=>([(0,8),(0,9),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(10,8),(10,9),(11,8),(11,9)],12)
[12,3,2,7,6,5,4,9,8,11,10,1]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(10,8),(10,9),(11,8),(11,9)],12)
[12,3,2,7,6,5,4,11,10,9,8,1]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[10,3,2,9,6,5,8,7,4,1,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,4),(8,5),(9,4),(9,5)],12)
[12,3,2,9,6,5,8,7,4,11,10,1]=>([(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,4),(8,5),(9,4),(9,5)],12)
[12,3,2,11,6,5,8,7,10,9,4,1]=>([(2,6),(2,7),(2,10),(2,11),(3,6),(3,7),(3,10),(3,11),(8,4),(8,5),(9,4),(9,5),(10,8),(10,9),(11,8),(11,9)],12)
[12,3,2,11,6,5,10,9,8,7,4,1]=>([(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(10,4),(10,5),(10,6),(10,7),(11,4),(11,5),(11,6),(11,7)],12)
[10,3,2,9,8,7,6,5,4,1,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[12,3,2,9,8,7,6,5,4,11,10,1]=>([(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[12,3,2,11,8,7,6,5,10,9,4,1]=>([(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[12,3,2,11,10,7,6,9,8,5,4,1]=>([(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(10,4),(10,5),(11,4),(11,5)],12)
[12,3,2,11,10,9,8,7,6,5,4,1]=>([(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11)],12)
[6,5,4,3,2,1,8,7,10,9,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,8),(6,9),(7,8),(7,9),(10,6),(10,7),(11,6),(11,7)],12)
[6,5,4,3,2,1,8,7,12,11,10,9]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(10,6),(10,7),(10,8),(10,9),(11,6),(11,7),(11,8),(11,9)],12)
[6,5,4,3,2,1,10,9,8,7,12,11]=>([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(8,6),(8,7),(9,6),(9,7),(10,6),(10,7),(11,6),(11,7)],12)
[6,5,4,3,2,1,12,9,8,11,10,7]=>([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(10,6),(10,7),(11,6),(11,7)],12)
[6,5,4,3,2,1,12,11,10,9,8,7]=>([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[8,5,4,3,2,7,6,1,10,9,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(8,10),(8,11),(9,10),(9,11),(10,6),(10,7),(11,6),(11,7)],12)
[8,5,4,3,2,7,6,1,12,11,10,9]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[10,5,4,3,2,7,6,9,8,1,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7)],12)
[12,5,4,3,2,7,6,9,8,11,10,1]=>([(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,8),(6,9),(7,8),(7,9),(10,6),(10,7),(11,6),(11,7)],12)
[12,5,4,3,2,7,6,11,10,9,8,1]=>([(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(10,6),(10,7),(10,8),(10,9),(11,6),(11,7),(11,8),(11,9)],12)
[10,5,4,3,2,9,8,7,6,1,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[12,5,4,3,2,9,8,7,6,11,10,1]=>([(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[12,5,4,3,2,11,8,7,10,9,6,1]=>([(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(10,6),(10,7),(11,6),(11,7)],12)
[12,5,4,3,2,11,10,9,8,7,6,1]=>([(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[8,7,4,3,6,5,2,1,10,9,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,6),(4,7),(5,6),(5,7),(6,10),(6,11),(7,10),(7,11),(10,8),(10,9),(11,8),(11,9)],12)
[8,7,4,3,6,5,2,1,12,11,10,9]=>([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(5,6),(5,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[10,7,4,3,6,5,2,9,8,1,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,8),(2,9),(3,8),(3,9),(4,6),(4,7),(5,6),(5,7),(6,10),(6,11),(7,10),(7,11),(10,8),(10,9),(11,8),(11,9)],12)
[12,7,4,3,6,5,2,9,8,11,10,1]=>([(2,10),(2,11),(3,10),(3,11),(4,6),(4,7),(5,6),(5,7),(6,10),(6,11),(7,10),(7,11),(10,8),(10,9),(11,8),(11,9)],12)
[12,7,4,3,6,5,2,11,10,9,8,1]=>([(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(5,6),(5,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[10,9,4,3,6,5,8,7,2,1,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,6),(4,7),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,9,4,3,6,5,8,7,2,11,10,1]=>([(2,10),(2,11),(3,10),(3,11),(4,6),(4,7),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,11,4,3,6,5,8,7,10,9,2,1]=>([(4,6),(4,7),(5,6),(5,7),(6,10),(6,11),(7,10),(7,11),(10,8),(10,9),(11,8),(11,9)],12)
[12,11,4,3,6,5,10,9,8,7,2,1]=>([(4,6),(4,7),(5,6),(5,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[10,9,4,3,8,7,6,5,2,1,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[12,9,4,3,8,7,6,5,2,11,10,1]=>([(2,10),(2,11),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[12,11,4,3,8,7,6,5,10,9,2,1]=>([(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[12,11,4,3,10,7,6,9,8,5,2,1]=>([(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,11,4,3,10,9,8,7,6,5,2,1]=>([(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[8,7,6,5,4,3,2,1,10,9,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(10,8),(10,9),(11,8),(11,9)],12)
[8,7,6,5,4,3,2,1,12,11,10,9]=>([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[10,7,6,5,4,3,2,9,8,1,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,8),(6,9),(7,8),(7,9),(10,8),(10,9),(11,8),(11,9)],12)
[12,7,6,5,4,3,2,9,8,11,10,1]=>([(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(10,8),(10,9),(11,8),(11,9)],12)
[12,7,6,5,4,3,2,11,10,9,8,1]=>([(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[10,9,6,5,4,3,8,7,2,1,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,9,6,5,4,3,8,7,2,11,10,1]=>([(2,10),(2,11),(3,10),(3,11),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,11,6,5,4,3,8,7,10,9,2,1]=>([(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(10,8),(10,9),(11,8),(11,9)],12)
[12,11,6,5,4,3,10,9,8,7,2,1]=>([(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[10,9,8,5,4,7,6,3,2,1,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,8),(6,9),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,9,8,5,4,7,6,3,2,11,10,1]=>([(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,8),(6,9),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,11,8,5,4,7,6,3,10,9,2,1]=>([(4,10),(4,11),(5,10),(5,11),(6,8),(6,9),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,11,10,5,4,7,6,9,8,3,2,1]=>([(6,8),(6,9),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,11,10,5,4,9,8,7,6,3,2,1]=>([(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[10,9,8,7,6,5,4,3,2,1,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[12,9,8,7,6,5,4,3,2,11,10,1]=>([(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[12,11,8,7,6,5,4,3,10,9,2,1]=>([(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[12,11,10,7,6,5,4,9,8,3,2,1]=>([(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[12,11,10,9,6,5,8,7,4,3,2,1]=>([(8,10),(8,11),(9,10),(9,11)],12)
[12,11,10,9,8,7,6,5,4,3,2,1]=>([],12)
[2,4,6,8,10,12,1,3,5,7,9,11]=>([(0,11),(1,3),(1,11),(3,5),(3,7),(4,6),(4,9),(5,4),(5,10),(6,2),(6,8),(7,10),(9,8),(10,9),(11,7)],12)
[2,4,6,8,11,12,1,3,5,7,9,10]=>([(0,11),(1,5),(1,11),(4,2),(5,6),(5,8),(6,7),(6,10),(7,4),(7,9),(8,10),(9,3),(10,9),(11,8)],12)
[2,4,6,9,10,12,1,3,5,7,8,11]=>([(0,11),(1,7),(1,11),(3,8),(4,6),(5,4),(5,10),(6,2),(6,8),(7,5),(7,9),(9,10),(10,3),(11,9)],12)
[2,4,6,9,11,12,1,3,5,7,8,10]=>([(0,11),(1,7),(1,11),(3,8),(4,6),(4,10),(5,2),(6,5),(6,8),(7,4),(7,9),(9,10),(10,3),(11,9)],12)
[2,4,6,10,11,12,1,3,5,7,8,9]=>([(0,10),(1,8),(1,10),(4,6),(5,4),(5,11),(6,3),(7,2),(8,5),(8,9),(9,11),(10,9),(11,7)],12)
[2,4,7,8,10,12,1,3,5,6,9,11]=>([(0,11),(1,7),(1,11),(3,8),(4,6),(5,2),(5,10),(6,5),(6,8),(7,4),(7,9),(8,10),(9,3),(11,9)],12)
[2,4,7,8,11,12,1,3,5,6,9,10]=>([(0,11),(1,8),(1,11),(4,10),(5,7),(6,2),(7,6),(7,10),(8,5),(8,9),(9,4),(10,3),(11,9)],12)
[2,4,7,9,10,12,1,3,5,6,8,11]=>([(0,11),(1,7),(1,11),(3,8),(4,5),(5,2),(5,10),(6,4),(6,8),(7,6),(7,9),(8,10),(9,3),(11,9)],12)
[2,4,7,9,11,12,1,3,5,6,8,10]=>([(0,11),(1,7),(1,11),(3,8),(4,5),(4,10),(5,2),(6,4),(6,8),(7,6),(7,9),(8,10),(9,3),(11,9)],12)
[2,4,7,10,11,12,1,3,5,6,8,9]=>([(0,11),(1,8),(1,11),(4,10),(5,6),(6,2),(7,5),(7,10),(8,7),(8,9),(9,4),(10,3),(11,9)],12)
[2,4,8,9,10,12,1,3,5,6,7,11]=>([(0,10),(1,7),(1,10),(3,9),(4,5),(5,8),(6,3),(7,4),(7,11),(8,2),(8,9),(10,11),(11,6)],12)
[2,4,8,9,11,12,1,3,5,6,7,10]=>([(0,10),(1,7),(1,10),(3,9),(4,8),(5,3),(6,2),(7,4),(7,11),(8,6),(8,9),(10,11),(11,5)],12)
[2,4,8,10,11,12,1,3,5,6,7,9]=>([(0,10),(1,7),(1,10),(3,9),(4,6),(5,3),(6,2),(7,8),(7,11),(8,4),(8,9),(10,11),(11,5)],12)
[2,4,9,10,11,12,1,3,5,6,7,8]=>([(0,10),(1,9),(1,10),(4,7),(5,4),(6,8),(7,2),(8,3),(9,5),(9,11),(10,11),(11,6)],12)
[2,5,6,8,10,12,1,3,4,7,9,11]=>([(0,11),(1,5),(1,11),(3,8),(4,6),(4,8),(5,4),(6,7),(6,10),(7,2),(7,9),(8,10),(10,9),(11,3)],12)
[2,5,6,8,11,12,1,3,4,7,9,10]=>([(0,11),(1,7),(1,11),(3,9),(5,6),(5,10),(6,2),(7,8),(8,5),(8,9),(9,10),(10,4),(11,3)],12)
[2,5,6,9,10,12,1,3,4,7,8,11]=>([(0,11),(1,6),(1,11),(3,9),(4,10),(5,8),(6,7),(7,5),(7,9),(8,2),(8,10),(9,4),(11,3)],12)
[2,5,6,9,11,12,1,3,4,7,8,10]=>([(0,11),(1,6),(1,11),(3,9),(4,10),(5,2),(6,7),(7,8),(7,9),(8,5),(8,10),(9,4),(11,3)],12)
[2,5,6,10,11,12,1,3,4,7,8,9]=>([(0,10),(1,9),(1,10),(4,11),(5,7),(6,5),(6,11),(7,3),(8,2),(9,6),(10,4),(11,8)],12)
[2,5,7,8,10,12,1,3,4,6,9,11]=>([(0,11),(1,5),(1,11),(3,8),(4,6),(5,4),(5,8),(6,7),(6,10),(7,2),(7,9),(8,10),(10,9),(11,3)],12)
[2,5,7,8,11,12,1,3,4,6,9,10]=>([(0,11),(1,8),(1,11),(3,9),(5,6),(6,7),(6,10),(7,2),(8,5),(8,9),(9,10),(10,4),(11,3)],12)
[2,5,7,9,10,12,1,3,4,6,8,11]=>([(0,11),(1,5),(1,11),(3,8),(4,7),(5,6),(5,8),(6,4),(6,10),(7,2),(7,9),(8,10),(10,9),(11,3)],12)
[2,5,7,9,11,12,1,3,4,6,8,10]=>([(0,11),(1,5),(1,11),(3,8),(4,2),(5,6),(5,8),(6,7),(6,10),(7,4),(7,9),(8,10),(10,9),(11,3)],12)
[2,5,7,10,11,12,1,3,4,6,8,9]=>([(0,11),(1,8),(1,11),(3,9),(5,7),(6,5),(6,10),(7,2),(8,6),(8,9),(9,10),(10,4),(11,3)],12)
[2,5,8,9,10,12,1,3,4,6,7,11]=>([(0,11),(1,8),(1,11),(3,9),(4,10),(5,6),(6,7),(7,2),(7,10),(8,5),(8,9),(9,4),(11,3)],12)
[2,5,8,9,11,12,1,3,4,6,7,10]=>([(0,11),(1,8),(1,11),(3,9),(4,10),(5,7),(6,2),(7,6),(7,10),(8,5),(8,9),(9,4),(11,3)],12)
[2,5,8,10,11,12,1,3,4,6,7,9]=>([(0,11),(1,8),(1,11),(3,9),(4,10),(5,6),(6,2),(7,5),(7,10),(8,7),(8,9),(9,4),(11,3)],12)
[2,5,9,10,11,12,1,3,4,6,7,8]=>([(0,10),(1,9),(1,10),(4,11),(5,7),(6,5),(7,3),(8,2),(9,6),(9,11),(10,4),(11,8)],12)
[2,6,7,8,10,12,1,3,4,5,9,11]=>([(0,11),(1,7),(1,11),(3,9),(4,8),(5,3),(6,2),(6,10),(7,4),(8,6),(8,9),(9,10),(11,5)],12)
[2,6,7,8,11,12,1,3,4,5,9,10]=>([(0,11),(1,8),(1,11),(3,10),(5,9),(6,3),(7,2),(8,5),(9,7),(9,10),(10,4),(11,6)],12)
[2,6,7,9,10,12,1,3,4,5,8,11]=>([(0,11),(1,7),(1,11),(3,9),(4,6),(5,3),(6,2),(6,10),(7,8),(8,4),(8,9),(9,10),(11,5)],12)
[2,6,7,9,11,12,1,3,4,5,8,10]=>([(0,11),(1,7),(1,11),(3,9),(4,6),(4,10),(5,3),(6,2),(7,8),(8,4),(8,9),(9,10),(11,5)],12)
[2,6,7,10,11,12,1,3,4,5,8,9]=>([(0,11),(1,8),(1,11),(3,10),(5,7),(6,3),(7,2),(8,9),(9,5),(9,10),(10,4),(11,6)],12)
[2,6,8,9,10,12,1,3,4,5,7,11]=>([(0,11),(1,8),(1,11),(3,9),(4,7),(5,4),(6,3),(7,2),(7,10),(8,5),(8,9),(9,10),(11,6)],12)
[2,6,8,9,11,12,1,3,4,5,7,10]=>([(0,11),(1,8),(1,11),(3,9),(4,5),(5,7),(5,10),(6,3),(7,2),(8,4),(8,9),(9,10),(11,6)],12)
[2,6,8,10,11,12,1,3,4,5,7,9]=>([(0,11),(1,8),(1,11),(3,9),(4,7),(5,4),(5,10),(6,3),(7,2),(8,5),(8,9),(9,10),(11,6)],12)
[2,6,9,10,11,12,1,3,4,5,7,8]=>([(0,11),(1,9),(1,11),(3,10),(5,8),(6,5),(7,3),(8,2),(9,6),(9,10),(10,4),(11,7)],12)
[2,7,8,9,10,12,1,3,4,5,6,11]=>([(0,11),(1,8),(1,11),(3,10),(4,5),(5,9),(6,3),(7,6),(8,4),(9,2),(9,10),(11,7)],12)
[2,7,8,9,11,12,1,3,4,5,6,10]=>([(0,11),(1,8),(1,11),(3,10),(4,9),(5,3),(6,5),(7,2),(8,4),(9,7),(9,10),(11,6)],12)
[2,7,8,10,11,12,1,3,4,5,6,9]=>([(0,11),(1,8),(1,11),(3,10),(4,7),(5,3),(6,5),(7,2),(8,9),(9,4),(9,10),(11,6)],12)
[2,7,9,10,11,12,1,3,4,5,6,8]=>([(0,11),(1,9),(1,11),(3,10),(4,8),(5,4),(6,3),(7,6),(8,2),(9,5),(9,10),(11,7)],12)
[2,8,9,10,11,12,1,3,4,5,6,7]=>([(0,11),(1,9),(1,11),(4,7),(5,4),(6,8),(7,2),(8,3),(9,5),(10,6),(11,10)],12)
[3,4,6,8,10,12,1,2,5,7,9,11]=>([(0,7),(1,3),(3,8),(4,6),(4,10),(5,4),(5,11),(6,2),(6,9),(7,5),(7,8),(8,11),(10,9),(11,10)],12)
[3,4,6,8,11,12,1,2,5,7,9,10]=>([(0,8),(1,4),(4,9),(5,2),(6,5),(6,10),(7,6),(7,11),(8,7),(8,9),(9,11),(10,3),(11,10)],12)
[3,4,6,9,10,12,1,2,5,7,8,11]=>([(0,8),(1,4),(3,9),(4,10),(5,7),(6,5),(6,11),(7,2),(7,9),(8,6),(8,10),(10,11),(11,3)],12)
[3,4,6,9,11,12,1,2,5,7,8,10]=>([(0,8),(1,4),(3,9),(4,10),(5,7),(5,11),(6,2),(7,6),(7,9),(8,5),(8,10),(10,11),(11,3)],12)
[3,4,6,10,11,12,1,2,5,7,8,9]=>([(0,9),(1,4),(4,10),(5,7),(6,5),(6,11),(7,3),(8,2),(9,6),(9,10),(10,11),(11,8)],12)
[3,4,7,8,10,12,1,2,5,6,9,11]=>([(0,8),(1,4),(3,9),(4,10),(5,7),(6,2),(6,11),(7,6),(7,9),(8,5),(8,10),(9,11),(10,3)],12)
[3,4,7,8,11,12,1,2,5,6,9,10]=>([(0,9),(1,5),(4,10),(5,11),(6,2),(7,8),(8,6),(8,10),(9,7),(9,11),(10,3),(11,4)],12)
[3,4,7,9,10,12,1,2,5,6,8,11]=>([(0,8),(1,4),(3,9),(4,10),(5,6),(6,2),(6,11),(7,5),(7,9),(8,7),(8,10),(9,11),(10,3)],12)
[3,4,7,9,11,12,1,2,5,6,8,10]=>([(0,8),(1,4),(3,9),(4,10),(5,6),(5,11),(6,2),(7,5),(7,9),(8,7),(8,10),(9,11),(10,3)],12)
[3,4,7,10,11,12,1,2,5,6,8,9]=>([(0,9),(1,5),(4,10),(5,11),(6,7),(7,2),(8,6),(8,10),(9,8),(9,11),(10,3),(11,4)],12)
[3,4,8,9,10,12,1,2,5,6,7,11]=>([(0,9),(1,4),(3,10),(4,11),(5,8),(6,5),(7,3),(8,2),(8,10),(9,6),(9,11),(11,7)],12)
[3,4,8,9,11,12,1,2,5,6,7,10]=>([(0,9),(1,4),(3,10),(4,11),(5,8),(6,3),(7,2),(8,7),(8,10),(9,5),(9,11),(11,6)],12)
[3,4,8,10,11,12,1,2,5,6,7,9]=>([(0,9),(1,4),(3,10),(4,11),(5,7),(6,3),(7,2),(8,5),(8,10),(9,8),(9,11),(11,6)],12)
[3,4,9,10,11,12,1,2,5,6,7,8]=>([(0,10),(1,4),(4,11),(5,7),(6,5),(7,3),(8,2),(9,8),(10,6),(10,11),(11,9)],12)
[3,5,6,8,10,12,1,2,4,7,9,11]=>([(0,7),(0,11),(1,3),(3,11),(4,5),(4,8),(5,6),(5,10),(6,2),(6,9),(7,4),(8,10),(10,9),(11,8)],12)
[3,5,6,8,11,12,1,2,4,7,9,10]=>([(0,8),(0,11),(1,4),(4,11),(5,6),(5,10),(6,2),(7,5),(7,9),(8,7),(9,10),(10,3),(11,9)],12)
[3,5,6,9,10,12,1,2,4,7,8,11]=>([(0,8),(0,11),(1,4),(3,9),(4,11),(5,7),(6,5),(6,10),(7,2),(7,9),(8,6),(10,3),(11,10)],12)
[3,5,6,9,11,12,1,2,4,7,8,10]=>([(0,8),(0,11),(1,4),(3,9),(4,11),(5,2),(6,5),(6,9),(7,6),(7,10),(8,7),(10,3),(11,10)],12)
[3,5,6,10,11,12,1,2,4,7,8,9]=>([(0,4),(1,9),(1,10),(4,10),(5,7),(6,5),(6,11),(7,3),(8,2),(9,6),(10,11),(11,8)],12)
[3,5,7,8,10,12,1,2,4,6,9,11]=>([(0,7),(0,11),(1,3),(3,11),(4,5),(5,6),(5,10),(6,2),(6,9),(7,4),(7,8),(8,10),(10,9),(11,8)],12)
[3,5,7,8,11,12,1,2,4,6,9,10]=>([(0,8),(0,11),(1,4),(4,11),(5,7),(5,10),(6,5),(7,2),(8,6),(8,9),(9,10),(10,3),(11,9)],12)
[3,5,7,9,10,12,1,2,4,6,8,11]=>([(0,7),(0,11),(1,3),(3,11),(4,6),(5,4),(5,10),(6,2),(6,9),(7,5),(7,8),(8,10),(10,9),(11,8)],12)
[3,5,7,9,11,12,1,2,4,6,8,10]=>([(0,7),(0,11),(1,3),(3,11),(4,2),(5,4),(5,9),(6,5),(6,10),(7,6),(7,8),(8,10),(10,9),(11,8)],12)
[3,5,7,10,11,12,1,2,4,6,8,9]=>([(0,8),(0,11),(1,4),(4,11),(5,7),(6,5),(6,10),(7,2),(8,6),(8,9),(9,10),(10,3),(11,9)],12)
[3,5,8,9,10,12,1,2,4,6,7,11]=>([(0,8),(0,11),(1,4),(3,9),(4,11),(5,7),(6,5),(7,2),(7,9),(8,6),(8,10),(10,3),(11,10)],12)
[3,5,8,9,11,12,1,2,4,6,7,10]=>([(0,8),(0,11),(1,4),(3,9),(4,11),(5,7),(6,2),(7,6),(7,9),(8,5),(8,10),(10,3),(11,10)],12)
[3,5,8,10,11,12,1,2,4,6,7,9]=>([(0,8),(0,11),(1,4),(3,9),(4,11),(5,6),(6,2),(7,5),(7,9),(8,7),(8,10),(10,3),(11,10)],12)
[3,5,9,10,11,12,1,2,4,6,7,8]=>([(0,4),(1,9),(1,10),(4,10),(5,7),(6,5),(7,3),(8,2),(9,6),(9,11),(10,11),(11,8)],12)
[3,6,7,8,10,12,1,2,4,5,9,11]=>([(0,8),(0,11),(1,4),(3,9),(4,11),(5,7),(6,2),(6,10),(7,6),(7,9),(8,5),(9,10),(11,3)],12)
[3,6,7,8,11,12,1,2,4,5,9,10]=>([(0,9),(0,11),(1,5),(3,10),(5,11),(6,2),(7,8),(8,6),(8,10),(9,7),(10,4),(11,3)],12)
[3,6,7,9,10,12,1,2,4,5,8,11]=>([(0,8),(0,11),(1,4),(3,9),(4,11),(5,6),(6,2),(6,10),(7,5),(7,9),(8,7),(9,10),(11,3)],12)
[3,6,7,9,11,12,1,2,4,5,8,10]=>([(0,8),(0,11),(1,4),(3,9),(4,11),(5,6),(5,10),(6,2),(7,5),(7,9),(8,7),(9,10),(11,3)],12)
[3,6,7,10,11,12,1,2,4,5,8,9]=>([(0,9),(0,11),(1,5),(3,10),(5,11),(6,7),(7,2),(8,6),(8,10),(9,8),(10,4),(11,3)],12)
[3,6,8,9,10,12,1,2,4,5,7,11]=>([(0,8),(0,11),(1,4),(3,9),(4,11),(5,7),(6,5),(7,2),(7,10),(8,6),(8,9),(9,10),(11,3)],12)
[3,6,8,9,11,12,1,2,4,5,7,10]=>([(0,8),(0,11),(1,4),(3,9),(4,11),(5,7),(5,10),(6,5),(7,2),(8,6),(8,9),(9,10),(11,3)],12)
[3,6,8,10,11,12,1,2,4,5,7,9]=>([(0,8),(0,11),(1,4),(3,9),(4,11),(5,7),(6,5),(6,10),(7,2),(8,6),(8,9),(9,10),(11,3)],12)
[3,6,9,10,11,12,1,2,4,5,7,8]=>([(0,9),(0,11),(1,5),(3,10),(5,11),(6,8),(7,2),(8,7),(9,6),(9,10),(10,4),(11,3)],12)
[3,7,8,9,10,12,1,2,4,5,6,11]=>([(0,4),(1,9),(1,11),(3,10),(4,11),(5,8),(6,5),(7,3),(8,2),(8,10),(9,6),(11,7)],12)
[3,7,8,9,11,12,1,2,4,5,6,10]=>([(0,4),(1,9),(1,11),(3,10),(4,11),(5,8),(6,3),(7,2),(8,7),(8,10),(9,5),(11,6)],12)
[3,7,8,10,11,12,1,2,4,5,6,9]=>([(0,4),(1,9),(1,11),(3,10),(4,11),(5,7),(6,3),(7,2),(8,5),(8,10),(9,8),(11,6)],12)
[3,7,9,10,11,12,1,2,4,5,6,8]=>([(0,4),(1,9),(1,11),(3,10),(4,11),(5,8),(6,5),(7,3),(8,2),(9,6),(9,10),(11,7)],12)
[3,8,9,10,11,12,1,2,4,5,6,7]=>([(0,4),(1,10),(1,11),(4,11),(5,7),(6,5),(7,3),(8,2),(9,8),(10,6),(11,9)],12)
[4,5,6,8,10,12,1,2,3,7,9,11]=>([(0,8),(1,7),(3,9),(4,5),(4,9),(5,6),(5,11),(6,2),(6,10),(7,4),(8,3),(9,11),(11,10)],12)
[4,5,6,8,11,12,1,2,3,7,9,10]=>([(0,8),(1,9),(3,10),(5,6),(5,11),(6,2),(7,5),(7,10),(8,7),(9,3),(10,11),(11,4)],12)
[4,5,6,9,10,12,1,2,3,7,8,11]=>([(0,8),(1,9),(3,10),(4,11),(5,7),(6,5),(6,10),(7,2),(7,11),(8,6),(9,3),(10,4)],12)
[4,5,6,9,11,12,1,2,3,7,8,10]=>([(0,8),(1,9),(3,10),(4,11),(5,2),(6,5),(6,11),(7,6),(7,10),(8,7),(9,3),(10,4)],12)
[4,5,6,10,11,12,1,2,3,7,8,9]=>([(0,9),(1,10),(4,11),(5,6),(6,2),(7,5),(7,11),(8,3),(9,7),(10,4),(11,8)],12)
[4,5,7,8,10,12,1,2,3,6,9,11]=>([(0,8),(1,7),(3,9),(4,5),(5,6),(5,11),(6,2),(6,10),(7,4),(7,9),(8,3),(9,11),(11,10)],12)
[4,5,7,8,11,12,1,2,3,6,9,10]=>([(0,9),(1,8),(3,10),(5,6),(6,7),(6,11),(7,2),(8,3),(9,5),(9,10),(10,11),(11,4)],12)
[4,5,7,9,10,12,1,2,3,6,8,11]=>([(0,8),(1,7),(3,9),(4,6),(5,4),(5,11),(6,2),(6,10),(7,5),(7,9),(8,3),(9,11),(11,10)],12)
[4,5,7,9,11,12,1,2,3,6,8,10]=>([(0,8),(1,7),(3,9),(4,2),(5,4),(5,10),(6,5),(6,11),(7,6),(7,9),(8,3),(9,11),(11,10)],12)
[4,5,7,10,11,12,1,2,3,6,8,9]=>([(0,9),(1,8),(3,10),(5,7),(6,5),(6,11),(7,2),(8,3),(9,6),(9,10),(10,11),(11,4)],12)
[4,5,8,9,10,12,1,2,3,6,7,11]=>([(0,9),(1,8),(3,10),(4,11),(5,6),(6,7),(7,2),(7,11),(8,3),(9,5),(9,10),(10,4)],12)
[4,5,8,9,11,12,1,2,3,6,7,10]=>([(0,9),(1,8),(3,10),(4,11),(5,7),(6,2),(7,6),(7,11),(8,3),(9,5),(9,10),(10,4)],12)
[4,5,8,10,11,12,1,2,3,6,7,9]=>([(0,9),(1,8),(3,10),(4,11),(5,6),(6,2),(7,5),(7,11),(8,3),(9,7),(9,10),(10,4)],12)
[4,5,9,10,11,12,1,2,3,6,7,8]=>([(0,10),(1,9),(4,11),(5,7),(6,5),(7,2),(8,3),(9,4),(10,6),(10,11),(11,8)],12)
[4,6,7,8,10,12,1,2,3,5,9,11]=>([(0,8),(1,7),(1,11),(3,11),(4,6),(5,2),(5,10),(6,5),(6,9),(7,4),(8,3),(9,10),(11,9)],12)
[4,6,7,8,11,12,1,2,3,5,9,10]=>([(0,9),(1,8),(1,11),(3,11),(5,7),(6,2),(7,6),(7,10),(8,5),(9,3),(10,4),(11,10)],12)
[4,6,7,9,10,12,1,2,3,5,8,11]=>([(0,8),(1,7),(1,11),(3,11),(4,5),(5,2),(5,10),(6,4),(6,9),(7,6),(8,3),(9,10),(11,9)],12)
[4,6,7,9,11,12,1,2,3,5,8,10]=>([(0,8),(1,7),(1,11),(3,11),(4,5),(4,10),(5,2),(6,4),(6,9),(7,6),(8,3),(9,10),(11,9)],12)
[4,6,7,10,11,12,1,2,3,5,8,9]=>([(0,9),(1,8),(1,11),(3,11),(5,6),(6,2),(7,5),(7,10),(8,7),(9,3),(10,4),(11,10)],12)
[4,6,8,9,10,12,1,2,3,5,7,11]=>([(0,8),(0,11),(1,7),(3,11),(4,6),(5,4),(6,2),(6,10),(7,3),(8,5),(8,9),(9,10),(11,9)],12)
[4,6,8,9,11,12,1,2,3,5,7,10]=>([(0,8),(0,11),(1,7),(3,11),(4,5),(5,6),(5,10),(6,2),(7,3),(8,4),(8,9),(9,10),(11,9)],12)
[4,6,8,10,11,12,1,2,3,5,7,9]=>([(0,8),(0,11),(1,7),(3,11),(4,6),(5,4),(5,10),(6,2),(7,3),(8,5),(8,9),(9,10),(11,9)],12)
[4,6,9,10,11,12,1,2,3,5,7,8]=>([(0,9),(0,11),(1,8),(3,11),(5,7),(6,5),(7,2),(8,3),(9,6),(9,10),(10,4),(11,10)],12)
[4,7,8,9,10,12,1,2,3,5,6,11]=>([(0,9),(1,8),(1,11),(3,11),(4,10),(5,7),(6,5),(7,2),(7,10),(8,6),(9,3),(11,4)],12)
[4,7,8,9,11,12,1,2,3,5,6,10]=>([(0,9),(1,8),(1,11),(3,11),(4,10),(5,7),(6,2),(7,6),(7,10),(8,5),(9,3),(11,4)],12)
[4,7,8,10,11,12,1,2,3,5,6,9]=>([(0,9),(1,8),(1,11),(3,11),(4,10),(5,6),(6,2),(7,5),(7,10),(8,7),(9,3),(11,4)],12)
[4,7,9,10,11,12,1,2,3,5,6,8]=>([(0,9),(0,11),(1,8),(3,11),(4,10),(5,7),(6,5),(7,2),(8,3),(9,6),(9,10),(11,4)],12)
[4,8,9,10,11,12,1,2,3,5,6,7]=>([(0,9),(1,10),(1,11),(4,11),(5,7),(6,5),(7,2),(8,3),(9,4),(10,6),(11,8)],12)
[5,6,7,8,10,12,1,2,3,4,9,11]=>([(0,8),(1,9),(3,10),(4,7),(5,3),(6,2),(6,11),(7,6),(7,10),(8,4),(9,5),(10,11)],12)
[5,6,7,8,11,12,1,2,3,4,9,10]=>([(0,9),(1,10),(3,11),(5,8),(6,3),(7,2),(8,7),(8,11),(9,5),(10,6),(11,4)],12)
[5,6,7,9,10,12,1,2,3,4,8,11]=>([(0,8),(1,9),(3,10),(4,6),(5,3),(6,2),(6,11),(7,4),(7,10),(8,5),(9,7),(10,11)],12)
[5,6,7,9,11,12,1,2,3,4,8,10]=>([(0,8),(1,9),(3,10),(4,6),(4,11),(5,3),(6,2),(7,4),(7,10),(8,5),(9,7),(10,11)],12)
[5,6,7,10,11,12,1,2,3,4,8,9]=>([(0,9),(1,10),(3,11),(5,7),(6,3),(7,2),(8,5),(8,11),(9,6),(10,8),(11,4)],12)
[5,6,8,9,10,12,1,2,3,4,7,11]=>([(0,9),(1,8),(3,10),(4,7),(5,4),(6,3),(7,2),(7,11),(8,6),(9,5),(9,10),(10,11)],12)
[5,6,8,9,11,12,1,2,3,4,7,10]=>([(0,9),(1,8),(3,10),(4,5),(5,7),(5,11),(6,3),(7,2),(8,6),(9,4),(9,10),(10,11)],12)
[5,6,8,10,11,12,1,2,3,4,7,9]=>([(0,9),(1,8),(3,10),(4,7),(5,4),(5,11),(6,3),(7,2),(8,6),(9,5),(9,10),(10,11)],12)
[5,6,9,10,11,12,1,2,3,4,7,8]=>([(0,10),(1,9),(3,11),(5,8),(6,5),(7,3),(8,2),(9,7),(10,6),(10,11),(11,4)],12)
[5,7,8,9,10,12,1,2,3,4,6,11]=>([(0,9),(1,8),(1,11),(3,11),(4,7),(5,4),(6,3),(7,2),(7,10),(8,5),(9,6),(11,10)],12)
[5,7,8,9,11,12,1,2,3,4,6,10]=>([(0,8),(1,9),(1,11),(3,11),(4,7),(5,2),(6,3),(7,5),(7,10),(8,6),(9,4),(11,10)],12)
[5,7,8,10,11,12,1,2,3,4,6,9]=>([(0,8),(1,9),(1,11),(3,11),(4,5),(5,2),(6,3),(7,4),(7,10),(8,6),(9,7),(11,10)],12)
[5,7,9,10,11,12,1,2,3,4,6,8]=>([(0,9),(0,11),(1,8),(3,11),(4,6),(5,4),(6,2),(7,3),(8,7),(9,5),(9,10),(11,10)],12)
[5,8,9,10,11,12,1,2,3,4,6,7]=>([(0,9),(1,10),(1,11),(3,11),(5,8),(6,5),(7,3),(8,2),(9,7),(10,6),(11,4)],12)
[6,7,8,9,10,12,1,2,3,4,5,11]=>([(0,9),(1,10),(3,11),(4,8),(5,3),(6,4),(7,5),(8,2),(8,11),(9,6),(10,7)],12)
[6,7,8,9,11,12,1,2,3,4,5,10]=>([(0,9),(1,10),(3,11),(4,3),(5,4),(6,8),(7,2),(8,7),(8,11),(9,5),(10,6)],12)
[6,7,8,10,11,12,1,2,3,4,5,9]=>([(0,9),(1,10),(3,11),(4,7),(5,3),(6,5),(7,2),(8,4),(8,11),(9,6),(10,8)],12)
[6,7,9,10,11,12,1,2,3,4,5,8]=>([(0,10),(1,9),(3,11),(4,8),(5,4),(6,3),(7,6),(8,2),(9,7),(10,5),(10,11)],12)
[6,8,9,10,11,12,1,2,3,4,5,7]=>([(0,9),(1,10),(1,11),(3,11),(4,8),(5,3),(6,5),(7,4),(8,2),(9,6),(10,7)],12)
[7,8,9,10,11,12,1,2,3,4,5,6]=>([(0,11),(1,10),(4,8),(5,9),(6,4),(7,5),(8,2),(9,3),(10,6),(11,7)],12)
[2,3,4,5,6,7,8,9,10,12,1,11]=>([(0,11),(1,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,10),(9,7),(10,2),(10,11)],12)
[3,1,4,5,6,7,8,9,10,11,12,2]=>([(0,11),(1,3),(1,11),(4,5),(5,7),(6,4),(7,9),(8,6),(9,2),(10,8),(11,10)],12)
[2,1,4,3,6,5,8,7,11,12,10,9]=>([(0,8),(0,9),(1,8),(1,9),(5,2),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,3),(10,4),(10,5),(11,3),(11,4),(11,5)],12)
[2,1,4,3,6,5,9,10,8,7,12,11]=>([(0,6),(0,7),(1,6),(1,7),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,2),(6,8),(6,9),(7,8),(7,9),(8,3),(8,4),(8,5),(9,3),(9,4),(9,5)],12)
[2,1,4,3,6,5,9,11,8,12,10,7]=>([(0,8),(0,9),(1,8),(1,9),(2,5),(6,2),(6,4),(7,4),(7,5),(8,10),(8,11),(9,10),(9,11),(10,3),(10,6),(10,7),(11,3),(11,6),(11,7)],12)
[2,1,4,3,6,5,10,11,12,9,8,7]=>([(0,8),(0,9),(1,8),(1,9),(2,3),(7,2),(8,10),(8,11),(9,10),(9,11),(10,4),(10,5),(10,6),(10,7),(11,4),(11,5),(11,6),(11,7)],12)
[2,1,4,3,7,8,6,5,10,9,12,11]=>([(0,8),(0,9),(1,8),(1,9),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(7,2),(8,3),(8,4),(8,7),(9,3),(9,4),(9,7),(10,5),(10,6),(11,5),(11,6)],12)
[2,1,4,3,7,8,6,5,11,12,10,9]=>([(0,7),(0,8),(1,7),(1,8),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,3),(7,4),(7,5),(7,6),(8,4),(8,5),(8,6),(11,2)],12)
[2,1,4,3,7,9,6,10,8,5,12,11]=>([(0,8),(0,9),(1,8),(1,9),(2,5),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,2),(6,4),(7,4),(7,5),(8,3),(8,6),(8,7),(9,3),(9,6),(9,7)],12)
[2,1,4,3,7,9,6,11,8,12,10,5]=>([(0,10),(0,11),(1,10),(1,11),(2,5),(2,7),(6,2),(6,9),(7,3),(8,7),(8,9),(9,3),(9,5),(10,4),(10,6),(10,8),(11,4),(11,6),(11,8)],12)
[2,1,4,3,7,10,6,11,12,9,8,5]=>([(0,10),(0,11),(1,10),(1,11),(3,7),(7,2),(8,3),(8,5),(8,6),(9,5),(9,6),(9,7),(10,4),(10,8),(10,9),(11,4),(11,8),(11,9)],12)
[2,1,4,3,8,9,10,7,6,5,12,11]=>([(0,8),(0,9),(1,8),(1,9),(2,3),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,2),(8,4),(8,5),(8,6),(8,7),(9,4),(9,5),(9,6),(9,7)],12)
[2,1,4,3,8,9,11,7,6,12,10,5]=>([(0,8),(0,9),(1,8),(1,9),(2,3),(2,11),(3,10),(5,10),(5,11),(6,10),(6,11),(7,2),(8,4),(8,5),(8,6),(8,7),(9,4),(9,5),(9,6),(9,7)],12)
[2,1,4,3,8,10,11,7,12,9,6,5]=>([(0,10),(0,11),(1,10),(1,11),(2,3),(3,7),(8,2),(8,6),(9,6),(9,7),(10,4),(10,5),(10,8),(10,9),(11,4),(11,5),(11,8),(11,9)],12)
[2,1,4,3,9,10,11,12,8,7,6,5]=>([(0,10),(0,11),(1,10),(1,11),(2,4),(4,3),(9,2),(10,5),(10,6),(10,7),(10,8),(10,9),(11,5),(11,6),(11,7),(11,8),(11,9)],12)
[2,1,5,6,4,3,8,7,10,9,12,11]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,10),(2,11),(5,10),(5,11),(6,10),(6,11),(7,2),(8,3),(8,4),(9,3),(9,4),(10,8),(10,9),(11,8),(11,9)],12)
[2,1,5,6,4,3,8,7,11,12,10,9]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(3,10),(3,11),(6,2),(7,10),(7,11),(8,10),(8,11),(9,3),(10,4),(10,5),(10,6),(11,4),(11,5),(11,6)],12)
[2,1,5,6,4,3,9,10,8,7,12,11]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,8),(2,9),(3,7),(3,10),(3,11),(4,3),(5,7),(5,10),(5,11),(6,7),(6,10),(6,11),(7,2),(10,8),(10,9),(11,8),(11,9)],12)
[2,1,5,6,4,3,9,11,8,12,10,7]=>([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,9),(2,10),(2,11),(3,5),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,2),(10,3),(10,4),(11,4),(11,5)],12)
[2,1,5,6,4,3,10,11,12,9,8,7]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(4,8),(4,9),(4,10),(4,11),(5,4),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(11,2)],12)
[2,1,5,7,4,8,6,3,10,9,12,11]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,6),(3,10),(3,11),(6,10),(6,11),(7,10),(7,11),(8,2),(8,3),(9,3),(9,6),(10,4),(10,5),(11,4),(11,5)],12)
[2,1,5,7,4,8,6,3,11,12,10,9]=>([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(3,5),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,3),(7,4),(8,4),(8,5),(11,2)],12)
[2,1,5,7,4,9,6,10,8,3,12,11]=>([(0,5),(0,7),(0,9),(1,5),(1,7),(1,9),(2,4),(2,6),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,3),(7,2),(7,8),(8,3),(8,4),(9,6),(9,8)],12)
[2,1,5,7,4,9,6,11,8,12,10,3]=>([(0,5),(0,7),(0,11),(1,5),(1,7),(1,11),(2,9),(2,10),(6,4),(7,2),(7,8),(8,6),(8,10),(9,3),(9,6),(10,3),(10,4),(11,8),(11,9)],12)
[2,1,5,7,4,10,6,11,12,9,8,3]=>([(0,7),(0,9),(0,10),(1,7),(1,9),(1,10),(3,4),(3,5),(3,8),(6,2),(8,6),(9,3),(9,11),(10,8),(10,11),(11,4),(11,5),(11,6)],12)
[2,1,5,8,4,9,10,7,6,3,12,11]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,10),(2,11),(3,6),(4,10),(4,11),(5,10),(5,11),(6,2),(7,10),(7,11),(8,3),(8,4),(8,5),(9,4),(9,5),(9,6)],12)
[2,1,5,8,4,9,11,7,6,12,10,3]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,11),(3,6),(4,10),(4,11),(5,10),(5,11),(6,2),(6,10),(8,3),(8,4),(8,5),(9,4),(9,5),(9,6)],12)
[2,1,5,8,4,10,11,7,12,9,6,3]=>([(0,8),(0,10),(0,11),(1,8),(1,10),(1,11),(2,7),(3,5),(3,6),(6,2),(9,5),(9,7),(10,3),(10,4),(10,9),(11,4),(11,6),(11,9)],12)
[2,1,5,9,4,10,11,12,8,7,6,3]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,3),(4,8),(8,2),(10,4),(10,5),(10,6),(10,7),(11,5),(11,6),(11,7),(11,8)],12)
[2,1,6,7,8,5,4,3,10,9,12,11]=>([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,3),(3,10),(3,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,2),(10,4),(10,5),(11,4),(11,5)],12)
[2,1,6,7,8,5,4,3,11,12,10,9]=>([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(3,4),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,3),(11,2)],12)
[2,1,6,7,9,5,4,10,8,3,12,11]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,11),(3,8),(4,8),(4,11),(5,8),(5,11),(6,9),(6,10),(7,2),(8,9),(8,10),(11,9),(11,10)],12)
[2,1,6,7,9,5,4,11,8,12,10,3]=>([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,3),(2,11),(3,4),(3,10),(7,10),(7,11),(8,10),(8,11),(9,2),(10,5),(11,4),(11,5)],12)
[2,1,6,7,10,5,4,11,12,9,8,3]=>([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(3,4),(3,10),(3,11),(4,9),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,3),(9,2)],12)
[2,1,6,8,9,5,10,7,4,3,12,11]=>([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,3),(3,5),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,2),(8,4),(9,4),(9,5)],12)
[2,1,6,8,9,5,11,7,4,12,10,3]=>([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,3),(3,4),(3,11),(4,10),(5,10),(5,11),(7,10),(7,11),(8,2),(8,5),(9,4),(9,5)],12)
[2,1,6,8,10,5,11,7,12,9,4,3]=>([(0,6),(0,7),(0,9),(0,11),(1,6),(1,7),(1,9),(1,11),(2,3),(2,5),(3,8),(8,4),(9,2),(9,10),(10,4),(10,5),(11,8),(11,10)],12)
[2,1,6,9,10,5,11,12,8,7,4,3]=>([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(3,4),(4,7),(7,2),(10,3),(10,5),(10,6),(11,5),(11,6),(11,7)],12)
[2,1,7,8,9,10,6,5,4,3,12,11]=>([(0,5),(0,6),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(3,10),(3,11),(4,3),(5,2),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,7,8,9,11,6,5,4,12,10,3]=>([(0,5),(0,6),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(3,10),(4,3),(4,11),(6,2),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,7,8,10,11,6,5,12,9,4,3]=>([(0,5),(0,6),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,10),(3,11),(4,3),(7,2),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,7,9,10,11,6,12,8,5,4,3]=>([(0,7),(0,8),(0,9),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(3,4),(4,6),(10,2),(10,5),(11,5),(11,6)],12)
[2,1,8,9,10,11,12,7,6,5,4,3]=>([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,5),(4,3),(5,4),(11,2)],12)
[3,4,2,1,6,5,8,7,10,9,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,3),(3,10),(3,11),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7),(10,8),(10,9),(11,8),(11,9)],12)
[3,4,2,1,6,5,8,7,11,12,10,9]=>([(0,4),(1,10),(1,11),(2,10),(2,11),(4,10),(4,11),(7,3),(8,5),(8,6),(8,7),(9,5),(9,6),(9,7),(10,8),(10,9),(11,8),(11,9)],12)
[3,4,2,1,6,5,9,10,8,7,12,11]=>([(0,4),(1,10),(1,11),(2,10),(2,11),(3,8),(3,9),(4,10),(4,11),(5,3),(6,8),(6,9),(7,8),(7,9),(10,5),(10,6),(10,7),(11,5),(11,6),(11,7)],12)
[3,4,2,1,6,5,9,11,8,12,10,7]=>([(0,10),(0,11),(1,10),(1,11),(2,3),(3,10),(3,11),(4,6),(8,4),(8,5),(9,5),(9,6),(10,7),(10,8),(10,9),(11,7),(11,8),(11,9)],12)
[3,4,2,1,6,5,10,11,12,9,8,7]=>([(0,5),(1,10),(1,11),(2,10),(2,11),(3,4),(5,10),(5,11),(9,3),(10,6),(10,7),(10,8),(10,9),(11,6),(11,7),(11,8),(11,9)],12)
[3,4,2,1,7,8,6,5,10,9,12,11]=>([(0,4),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,7),(3,8),(4,9),(4,10),(4,11),(7,5),(7,6),(8,5),(8,6),(9,3),(10,7),(10,8),(11,7),(11,8)],12)
[3,4,2,1,7,8,6,5,11,12,10,9]=>([(0,5),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(4,6),(4,7),(4,8),(5,9),(5,10),(5,11),(8,3),(9,4),(10,6),(10,7),(10,8),(11,6),(11,7),(11,8)],12)
[3,4,2,1,7,9,6,10,8,5,12,11]=>([(0,4),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,6),(4,9),(4,10),(4,11),(5,7),(5,8),(6,7),(6,8),(9,5),(9,6),(10,3),(10,5),(11,7),(11,8)],12)
[3,4,2,1,7,9,6,11,8,12,10,5]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,3),(3,9),(3,10),(3,11),(4,6),(4,7),(7,5),(8,5),(8,6),(10,7),(10,8),(11,4),(11,8)],12)
[3,4,2,1,7,10,6,11,12,9,8,5]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,5),(3,8),(5,9),(5,10),(5,11),(8,4),(10,6),(10,7),(10,8),(11,3),(11,6),(11,7)],12)
[3,4,2,1,8,9,10,7,6,5,12,11]=>([(0,5),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,3)],12)
[3,4,2,1,8,9,11,7,6,12,10,5]=>([(0,5),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,4),(3,7),(4,6),(5,8),(5,9),(5,10),(5,11),(9,3),(10,6),(10,7),(11,6),(11,7)],12)
[3,4,2,1,8,10,11,7,12,9,6,5]=>([(0,5),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,4),(4,7),(5,8),(5,9),(5,10),(5,11),(10,6),(10,7),(11,3),(11,6)],12)
[3,4,2,1,9,10,11,12,8,7,6,5]=>([(0,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(5,4),(6,7),(6,8),(6,9),(6,10),(6,11),(11,3)],12)
[3,5,2,6,4,1,8,7,10,9,12,11]=>([(0,10),(0,11),(1,3),(1,6),(2,6),(2,7),(3,7),(6,10),(6,11),(7,10),(7,11),(8,4),(8,5),(9,4),(9,5),(10,8),(10,9),(11,8),(11,9)],12)
[3,5,2,6,4,1,8,7,11,12,10,9]=>([(0,10),(0,11),(1,4),(1,6),(2,5),(2,6),(4,5),(5,10),(5,11),(6,10),(6,11),(9,3),(10,7),(10,8),(10,9),(11,7),(11,8),(11,9)],12)
[3,5,2,6,4,1,9,10,8,7,12,11]=>([(0,5),(0,6),(1,3),(1,6),(2,9),(2,10),(2,11),(3,5),(4,7),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(9,4),(10,7),(10,8),(11,7),(11,8)],12)
[3,5,2,6,4,1,9,11,8,12,10,7]=>([(0,9),(0,10),(0,11),(1,4),(1,6),(2,6),(2,8),(3,7),(4,8),(6,9),(6,10),(6,11),(8,9),(8,10),(8,11),(10,3),(10,5),(11,5),(11,7)],12)
[3,5,2,6,4,1,10,11,12,9,8,7]=>([(0,5),(0,7),(1,6),(1,7),(2,8),(2,9),(2,10),(2,11),(3,4),(5,6),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(11,3)],12)
[3,5,2,7,4,8,6,1,10,9,12,11]=>([(0,10),(0,11),(1,3),(1,9),(2,8),(2,9),(3,7),(3,8),(4,10),(4,11),(7,10),(7,11),(8,4),(9,4),(9,7),(10,5),(10,6),(11,5),(11,6)],12)
[3,5,2,7,4,8,6,1,11,12,10,9]=>([(0,9),(0,10),(0,11),(1,4),(1,8),(2,7),(2,8),(4,6),(4,7),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,5),(8,5),(8,6),(11,3)],12)
[3,5,2,7,4,9,6,10,8,1,12,11]=>([(0,10),(0,11),(1,3),(1,7),(2,7),(2,9),(3,8),(3,9),(4,10),(4,11),(5,10),(5,11),(6,5),(7,6),(7,8),(8,4),(8,5),(9,4),(9,6)],12)
[3,5,2,7,4,9,6,11,8,12,10,1]=>([(1,3),(1,9),(2,9),(2,11),(3,10),(3,11),(6,5),(7,4),(7,6),(8,4),(8,5),(9,7),(9,10),(10,6),(10,8),(11,7),(11,8)],12)
[3,5,2,7,4,10,6,11,12,9,8,1]=>([(1,4),(1,9),(2,9),(2,11),(4,10),(4,11),(7,3),(8,7),(9,8),(9,10),(10,5),(10,6),(10,7),(11,5),(11,6),(11,8)],12)
[3,5,2,8,4,9,10,7,6,1,12,11]=>([(0,10),(0,11),(1,4),(1,9),(2,8),(2,9),(3,10),(3,11),(4,5),(4,6),(4,8),(5,10),(5,11),(6,10),(6,11),(7,3),(8,7),(9,5),(9,6),(9,7)],12)
[3,5,2,8,4,9,11,7,6,12,10,1]=>([(1,4),(1,9),(2,8),(2,9),(3,11),(4,5),(4,6),(4,8),(5,10),(5,11),(6,10),(6,11),(7,3),(7,10),(8,7),(9,5),(9,6),(9,7)],12)
[3,5,2,8,4,10,11,7,12,9,6,1]=>([(1,4),(1,11),(2,10),(2,11),(3,8),(4,6),(4,9),(4,10),(7,3),(9,5),(9,8),(10,5),(10,7),(11,6),(11,7),(11,9)],12)
[3,5,2,9,4,10,11,12,8,7,6,1]=>([(1,5),(1,11),(2,10),(2,11),(3,4),(5,6),(5,7),(5,8),(5,10),(9,3),(10,9),(11,6),(11,7),(11,8),(11,9)],12)
[3,6,2,7,8,5,4,1,10,9,12,11]=>([(0,10),(0,11),(1,4),(1,5),(1,6),(2,5),(2,6),(2,9),(3,10),(3,11),(4,9),(5,10),(5,11),(6,10),(6,11),(9,3),(10,7),(10,8),(11,7),(11,8)],12)
[3,6,2,7,8,5,4,1,11,12,10,9]=>([(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(2,4),(2,6),(2,7),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,5),(11,3)],12)
[3,6,2,7,9,5,4,10,8,1,12,11]=>([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,8),(2,9),(3,5),(4,11),(5,4),(5,10),(6,10),(6,11),(7,10),(7,11),(10,8),(10,9),(11,8),(11,9)],12)
[3,6,2,7,9,5,4,11,8,12,10,1]=>([(1,3),(1,5),(1,6),(2,5),(2,6),(2,9),(3,9),(4,8),(4,10),(5,10),(5,11),(6,10),(6,11),(9,4),(9,11),(10,7),(11,7),(11,8)],12)
[3,6,2,7,10,5,4,11,12,9,8,1]=>([(1,6),(1,7),(1,8),(2,4),(2,6),(2,7),(4,8),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,5),(8,9),(8,10),(11,3)],12)
[3,6,2,8,9,5,10,7,4,1,12,11]=>([(0,10),(0,11),(1,4),(1,6),(1,9),(2,6),(2,7),(2,9),(3,8),(4,5),(4,7),(5,10),(5,11),(6,10),(6,11),(7,3),(8,10),(8,11),(9,5),(9,8)],12)
[3,6,2,8,9,5,11,7,4,12,10,1]=>([(1,4),(1,6),(1,9),(2,6),(2,7),(2,9),(3,8),(3,11),(4,5),(4,7),(5,10),(5,11),(6,10),(6,11),(7,3),(8,10),(9,5),(9,8)],12)
[3,6,2,8,10,5,11,7,12,9,4,1]=>([(1,4),(1,7),(1,11),(2,7),(2,8),(2,11),(3,9),(4,8),(4,10),(8,3),(8,6),(9,5),(10,5),(10,6),(11,9),(11,10)],12)
[3,6,2,9,10,5,11,12,8,7,4,1]=>([(1,5),(1,9),(1,11),(2,8),(2,9),(2,11),(4,10),(5,6),(5,7),(5,8),(8,4),(10,3),(11,6),(11,7),(11,10)],12)
[3,7,2,8,9,10,6,5,4,1,12,11]=>([(0,10),(0,11),(1,5),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(2,9),(3,4),(4,10),(4,11),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,3)],12)
[3,7,2,8,9,11,6,5,4,12,10,1]=>([(1,5),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(2,9),(3,4),(3,11),(4,10),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,3)],12)
[3,7,2,8,10,11,6,5,12,9,4,1]=>([(1,5),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(2,9),(3,4),(4,11),(5,9),(7,10),(7,11),(8,10),(8,11),(9,3),(9,10)],12)
[3,7,2,9,10,11,6,12,8,5,4,1]=>([(1,5),(1,8),(1,9),(1,11),(2,8),(2,9),(2,10),(2,11),(3,4),(4,7),(5,6),(5,10),(10,3),(11,6),(11,7)],12)
[3,8,2,9,10,11,12,7,6,5,4,1]=>([(1,6),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(5,4),(6,7),(7,3)],12)
[4,5,6,3,2,1,8,7,10,9,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,4),(4,5),(5,10),(5,11),(6,8),(6,9),(7,8),(7,9),(10,6),(10,7),(11,6),(11,7)],12)
[4,5,6,3,2,1,8,7,11,12,10,9]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,5),(5,6),(6,10),(6,11),(9,4),(10,7),(10,8),(10,9),(11,7),(11,8),(11,9)],12)
[4,5,6,3,2,1,9,10,8,7,12,11]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,4),(4,6),(5,7),(5,8),(6,9),(6,10),(6,11),(9,7),(9,8),(10,7),(10,8),(11,5)],12)
[4,5,6,3,2,1,9,11,8,12,10,7]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,5),(4,8),(5,6),(6,9),(6,10),(6,11),(10,7),(10,8),(11,4),(11,7)],12)
[4,5,6,3,2,1,10,11,12,9,8,7]=>([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,4),(4,7),(5,6),(7,8),(7,9),(7,10),(7,11),(11,5)],12)
[4,5,7,3,2,8,6,1,10,9,12,11]=>([(0,8),(0,11),(1,8),(1,11),(2,9),(2,10),(3,4),(4,5),(4,11),(5,8),(8,9),(8,10),(9,6),(9,7),(10,6),(10,7),(11,9),(11,10)],12)
[4,5,7,3,2,8,6,1,11,12,10,9]=>([(0,5),(1,10),(1,11),(2,10),(2,11),(3,7),(3,8),(3,9),(5,6),(5,11),(6,10),(9,4),(10,7),(10,8),(10,9),(11,7),(11,8),(11,9)],12)
[4,5,7,3,2,9,6,10,8,1,12,11]=>([(0,8),(0,11),(1,8),(1,11),(2,9),(2,10),(3,4),(4,5),(4,11),(5,7),(5,8),(6,9),(6,10),(7,9),(7,10),(8,6),(11,6),(11,7)],12)
[4,5,7,3,2,9,6,11,8,12,10,1]=>([(1,10),(1,11),(2,10),(2,11),(3,4),(4,5),(4,11),(5,6),(5,10),(6,8),(6,9),(7,9),(10,7),(10,8),(11,6),(11,7)],12)
[4,5,7,3,2,10,6,11,12,9,8,1]=>([(1,10),(1,11),(2,10),(2,11),(3,5),(5,6),(5,11),(6,7),(6,8),(6,10),(9,4),(10,9),(11,7),(11,8),(11,9)],12)
[4,5,8,3,2,9,10,7,6,1,12,11]=>([(0,10),(0,11),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,5),(4,10),(4,11),(5,6),(5,8),(5,9),(6,7),(7,4),(8,10),(8,11),(9,10),(9,11)],12)
[4,5,8,3,2,9,11,7,6,12,10,1]=>([(1,6),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,8),(5,9),(6,5),(6,10),(6,11),(9,4),(9,7),(10,7),(10,8),(11,7),(11,8)],12)
[4,5,8,3,2,10,11,7,12,9,6,1]=>([(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,5),(4,8),(5,6),(5,10),(5,11),(6,7),(6,9),(9,4),(11,7),(11,8)],12)
[4,5,9,3,2,10,11,12,8,7,6,1]=>([(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,5),(4,6),(5,7),(5,9),(5,10),(5,11),(7,8),(8,4)],12)
[4,6,7,3,8,5,2,1,10,9,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,6),(2,7),(3,4),(3,6),(4,5),(5,7),(6,10),(6,11),(7,10),(7,11),(10,8),(10,9),(11,8),(11,9)],12)
[4,6,7,3,8,5,2,1,11,12,10,9]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,7),(2,8),(3,5),(3,7),(5,6),(6,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(11,4)],12)
[4,6,7,3,9,5,2,10,8,1,12,11]=>([(0,10),(0,11),(1,8),(1,9),(2,6),(2,7),(3,4),(3,6),(4,5),(5,7),(5,10),(6,10),(6,11),(7,11),(10,8),(10,9),(11,8),(11,9)],12)
[4,6,7,3,9,5,2,11,8,12,10,1]=>([(1,10),(1,11),(2,6),(2,7),(3,4),(3,7),(4,5),(5,6),(5,10),(6,9),(6,11),(7,10),(7,11),(10,8),(10,9),(11,8)],12)
[4,6,7,3,10,5,2,11,12,9,8,1]=>([(1,9),(1,10),(1,11),(2,7),(2,8),(3,5),(3,8),(5,6),(6,7),(6,9),(6,10),(7,11),(8,9),(8,10),(8,11),(11,4)],12)
[4,6,8,3,9,5,10,7,2,1,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,6),(2,7),(3,4),(3,6),(4,5),(4,9),(5,7),(6,8),(6,9),(7,8),(8,10),(8,11),(9,10),(9,11)],12)
[4,6,8,3,9,5,11,7,2,12,10,1]=>([(1,10),(1,11),(2,6),(2,7),(3,4),(3,6),(4,5),(4,9),(5,7),(6,8),(6,9),(7,8),(7,11),(8,10),(9,10),(9,11)],12)
[4,6,8,3,10,5,11,7,12,9,2,1]=>([(2,4),(2,10),(3,9),(3,10),(4,5),(4,11),(5,7),(5,9),(8,6),(9,8),(10,8),(10,11),(11,6),(11,7)],12)
[4,6,9,3,10,5,11,12,8,7,2,1]=>([(2,6),(2,11),(3,10),(3,11),(5,10),(6,5),(6,7),(6,8),(9,4),(10,9),(11,7),(11,8),(11,9)],12)
[4,7,8,3,9,10,6,5,2,1,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,7),(2,8),(2,9),(3,4),(3,7),(3,8),(4,6),(5,10),(5,11),(6,9),(7,10),(7,11),(8,10),(8,11),(9,5)],12)
[4,7,8,3,9,11,6,5,2,12,10,1]=>([(1,10),(1,11),(2,7),(2,8),(2,9),(3,5),(3,7),(3,8),(4,11),(5,6),(6,9),(7,10),(7,11),(8,10),(8,11),(9,4),(9,10)],12)
[4,7,8,3,10,11,6,5,12,9,2,1]=>([(2,7),(2,8),(2,9),(3,5),(3,7),(3,8),(4,11),(5,6),(6,9),(6,10),(7,10),(7,11),(8,10),(8,11),(9,4)],12)
[4,7,9,3,10,11,6,12,8,5,2,1]=>([(2,5),(2,7),(2,11),(3,7),(3,8),(3,11),(4,9),(5,6),(5,10),(6,8),(8,4),(11,9),(11,10)],12)
[4,8,9,3,10,11,12,7,6,5,2,1]=>([(2,8),(2,9),(2,10),(2,11),(3,5),(3,8),(3,9),(3,10),(4,6),(5,7),(7,11),(11,4)],12)
[5,6,7,8,4,3,2,1,10,9,12,11]=>([(0,5),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,7),(6,10),(6,11),(7,6),(10,8),(10,9),(11,8),(11,9)],12)
[5,6,7,8,4,3,2,1,11,12,10,9]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,6),(6,7),(7,8),(8,9),(8,10),(8,11),(11,5)],12)
[5,6,7,9,4,3,2,10,8,1,12,11]=>([(0,5),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,8),(4,9),(5,7),(6,10),(7,6),(7,11),(10,8),(10,9),(11,8),(11,9)],12)
[5,6,7,9,4,3,2,11,8,12,10,1]=>([(1,5),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,7),(6,9),(6,10),(7,6),(7,11),(10,8),(11,8),(11,9)],12)
[5,6,7,10,4,3,2,11,12,9,8,1]=>([(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,6),(6,8),(7,11),(8,7),(8,9),(8,10),(11,5)],12)
[5,6,8,9,4,3,10,7,2,1,12,11]=>([(0,5),(1,10),(1,11),(2,10),(2,11),(3,8),(3,9),(4,8),(4,9),(5,7),(5,8),(6,9),(7,6),(8,10),(8,11),(9,10),(9,11)],12)
[5,6,8,9,4,3,11,7,2,12,10,1]=>([(1,9),(1,11),(2,5),(3,8),(3,10),(4,8),(4,10),(5,7),(5,8),(6,10),(6,11),(7,6),(8,9),(8,11),(10,9)],12)
[5,6,8,10,4,3,11,7,12,9,2,1]=>([(2,5),(3,10),(3,11),(4,10),(4,11),(5,7),(5,10),(6,11),(7,6),(7,9),(10,8),(10,9),(11,8)],12)
[5,6,9,10,4,3,11,12,8,7,2,1]=>([(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,6),(6,7),(6,10),(6,11),(7,8),(8,9),(9,5)],12)
[5,7,8,9,4,10,6,3,2,1,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,8),(3,9),(4,5),(4,8),(5,7),(6,9),(7,6),(8,10),(8,11),(9,10),(9,11)],12)
[5,7,8,9,4,11,6,3,2,12,10,1]=>([(1,10),(1,11),(2,10),(2,11),(3,8),(3,9),(4,5),(4,8),(5,7),(6,9),(6,11),(7,6),(8,10),(8,11),(9,10)],12)
[5,7,8,10,4,11,6,3,12,9,2,1]=>([(2,10),(2,11),(3,8),(3,9),(4,5),(4,8),(5,7),(6,9),(7,6),(7,11),(8,10),(8,11),(9,10)],12)
[5,7,9,10,4,11,6,12,8,3,2,1]=>([(3,8),(3,11),(4,5),(4,8),(5,7),(5,10),(6,11),(7,6),(8,9),(8,10),(11,9)],12)
[5,8,9,10,4,11,12,7,6,3,2,1]=>([(3,9),(3,10),(3,11),(4,6),(4,9),(4,10),(6,7),(7,8),(8,11),(11,5)],12)
[6,7,8,9,10,5,4,3,2,1,12,11]=>([(0,6),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(7,10),(7,11),(8,7),(9,8)],12)
[6,7,8,9,11,5,4,3,2,12,10,1]=>([(1,6),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,8),(7,11),(8,9),(9,7),(9,10)],12)
[6,7,8,10,11,5,4,3,12,9,2,1]=>([(2,6),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(7,11),(8,7),(9,8),(9,10)],12)
[6,7,9,10,11,5,4,12,8,3,2,1]=>([(3,6),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(7,11),(8,7),(9,8)],12)
[6,8,9,10,11,5,12,7,4,3,2,1]=>([(4,10),(4,11),(5,6),(5,10),(6,9),(7,11),(8,7),(9,8)],12)
[7,8,9,10,11,12,6,5,4,3,2,1]=>([(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[11,10,9,8,7,6,5,4,3,1,12,2]=>([(0,11),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,10),(9,11)],12)
[10,12,9,8,7,6,5,4,3,2,1,11]=>([(0,11),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,10),(9,11)],12)
[11,12,9,10,7,8,5,6,3,4,1,2]=>([(0,11),(1,10),(2,9),(3,8),(4,7),(5,6)],12)
[9,10,12,11,7,8,5,6,3,4,1,2]=>([(0,10),(1,9),(2,8),(3,7),(4,11),(11,5),(11,6)],12)
[11,12,7,8,10,9,5,6,3,4,1,2]=>([(0,10),(1,9),(2,8),(3,7),(4,11),(11,5),(11,6)],12)
[7,10,12,8,11,9,5,6,3,4,1,2]=>([(0,8),(1,7),(2,6),(3,9),(3,10),(9,5),(9,11),(10,4),(10,11)],12)
[7,8,9,12,11,10,5,6,3,4,1,2]=>([(0,9),(1,8),(2,7),(3,10),(10,11),(11,4),(11,5),(11,6)],12)
[11,12,9,10,5,6,8,7,3,4,1,2]=>([(0,10),(1,9),(2,8),(3,7),(4,11),(11,5),(11,6)],12)
[9,10,12,11,5,6,8,7,3,4,1,2]=>([(0,9),(1,8),(2,11),(3,10),(10,4),(10,5),(11,6),(11,7)],12)
[11,12,5,8,10,6,9,7,3,4,1,2]=>([(0,8),(1,7),(2,6),(3,9),(3,10),(9,5),(9,11),(10,4),(10,11)],12)
[5,10,12,8,11,6,9,7,3,4,1,2]=>([(0,7),(1,6),(2,5),(2,8),(2,9),(5,10),(5,11),(8,4),(8,10),(9,3),(9,11)],12)
[5,8,9,12,11,6,10,7,3,4,1,2]=>([(0,7),(1,6),(2,8),(2,9),(8,10),(9,3),(9,11),(10,4),(10,5),(10,11)],12)
[11,12,5,6,7,10,9,8,3,4,1,2]=>([(0,9),(1,8),(2,7),(3,10),(10,11),(11,4),(11,5),(11,6)],12)
[5,10,12,6,7,11,9,8,3,4,1,2]=>([(0,7),(1,6),(2,8),(2,9),(8,10),(9,3),(9,11),(10,4),(10,5),(10,11)],12)
[5,6,9,12,7,11,10,8,3,4,1,2]=>([(0,6),(1,5),(2,9),(7,4),(7,10),(7,11),(8,3),(8,10),(8,11),(9,7),(9,8)],12)
[5,6,7,8,12,11,10,9,3,4,1,2]=>([(0,10),(1,8),(2,7),(9,11),(10,9),(11,3),(11,4),(11,5),(11,6)],12)
[11,12,9,10,7,8,3,4,6,5,1,2]=>([(0,10),(1,9),(2,8),(3,7),(4,11),(11,5),(11,6)],12)
[9,10,12,11,7,8,3,4,6,5,1,2]=>([(0,9),(1,8),(2,11),(3,10),(10,4),(10,5),(11,6),(11,7)],12)
[11,12,7,8,10,9,3,4,6,5,1,2]=>([(0,9),(1,8),(2,11),(3,10),(10,4),(10,5),(11,6),(11,7)],12)
[7,10,12,8,11,9,3,4,6,5,1,2]=>([(0,7),(1,10),(2,8),(2,9),(8,6),(8,11),(9,5),(9,11),(10,3),(10,4)],12)
[7,8,9,12,11,10,3,4,6,5,1,2]=>([(0,8),(1,10),(2,9),(9,11),(10,6),(10,7),(11,3),(11,4),(11,5)],12)
[11,12,9,10,3,6,8,4,7,5,1,2]=>([(0,8),(1,7),(2,6),(3,9),(3,10),(9,5),(9,11),(10,4),(10,11)],12)
[9,10,12,11,3,6,8,4,7,5,1,2]=>([(0,7),(1,10),(2,8),(2,9),(8,6),(8,11),(9,5),(9,11),(10,3),(10,4)],12)
[11,12,3,8,10,6,9,4,7,5,1,2]=>([(0,7),(1,6),(2,5),(2,8),(2,9),(5,10),(5,11),(8,4),(8,10),(9,3),(9,11)],12)
[3,10,12,8,11,6,9,4,7,5,1,2]=>([(0,6),(1,4),(1,5),(1,7),(1,8),(4,9),(4,10),(5,9),(5,11),(7,3),(7,10),(8,2),(8,11)],12)
[3,8,9,12,11,6,10,4,7,5,1,2]=>([(0,6),(1,5),(1,7),(1,8),(5,10),(5,11),(7,9),(8,2),(8,10),(9,3),(9,4),(9,11)],12)
[11,12,3,6,7,10,9,4,8,5,1,2]=>([(0,7),(1,6),(2,8),(2,9),(8,10),(9,3),(9,11),(10,4),(10,5),(10,11)],12)
[3,10,12,6,7,11,9,4,8,5,1,2]=>([(0,5),(1,6),(1,7),(1,8),(6,9),(7,4),(7,10),(8,3),(8,11),(9,2),(9,10),(9,11)],12)
[3,6,9,12,7,11,10,4,8,5,1,2]=>([(0,5),(1,6),(1,8),(4,9),(4,10),(4,11),(6,3),(6,11),(7,2),(7,9),(7,10),(8,4),(8,7)],12)
[3,6,7,8,12,11,10,4,9,5,1,2]=>([(0,6),(1,8),(1,9),(7,10),(8,7),(9,2),(9,11),(10,3),(10,4),(10,5),(10,11)],12)
[11,12,9,10,3,4,5,8,7,6,1,2]=>([(0,9),(1,8),(2,7),(3,10),(10,11),(11,4),(11,5),(11,6)],12)
[9,10,12,11,3,4,5,8,7,6,1,2]=>([(0,8),(1,10),(2,9),(9,11),(10,6),(10,7),(11,3),(11,4),(11,5)],12)
[11,12,3,8,10,4,5,9,7,6,1,2]=>([(0,7),(1,6),(2,8),(2,9),(8,10),(9,3),(9,11),(10,4),(10,5),(10,11)],12)
[3,10,12,8,11,4,5,9,7,6,1,2]=>([(0,6),(1,5),(1,7),(1,8),(5,10),(5,11),(7,9),(8,2),(8,10),(9,3),(9,4),(9,11)],12)
[3,8,9,12,11,4,5,10,7,6,1,2]=>([(0,6),(1,7),(1,8),(7,10),(8,9),(9,2),(9,3),(9,11),(10,4),(10,5),(10,11)],12)
[11,12,3,4,7,10,5,9,8,6,1,2]=>([(0,6),(1,5),(2,9),(7,4),(7,10),(7,11),(8,3),(8,10),(8,11),(9,7),(9,8)],12)
[3,10,12,4,7,11,5,9,8,6,1,2]=>([(0,5),(1,6),(1,8),(4,9),(4,10),(4,11),(6,3),(6,11),(7,2),(7,9),(7,10),(8,4),(8,7)],12)
[3,4,9,12,7,11,5,10,8,6,1,2]=>([(0,5),(1,8),(4,9),(4,10),(4,11),(6,3),(6,9),(6,11),(7,2),(7,10),(7,11),(8,4),(8,6),(8,7)],12)
[3,4,7,8,12,11,5,10,9,6,1,2]=>([(0,9),(1,5),(6,8),(7,2),(7,10),(7,11),(8,3),(8,4),(8,10),(8,11),(9,6),(9,7)],12)
[11,12,3,4,5,6,10,9,8,7,1,2]=>([(0,10),(1,8),(2,7),(9,11),(10,9),(11,3),(11,4),(11,5),(11,6)],12)
[3,10,12,4,5,6,11,9,8,7,1,2]=>([(0,6),(1,8),(1,9),(7,10),(8,7),(9,2),(9,11),(10,3),(10,4),(10,5),(10,11)],12)
[3,4,9,12,5,6,11,10,8,7,1,2]=>([(0,9),(1,5),(6,8),(7,2),(7,10),(7,11),(8,3),(8,4),(8,10),(8,11),(9,6),(9,7)],12)
[3,4,5,8,12,6,11,10,9,7,1,2]=>([(0,7),(1,4),(5,3),(5,9),(5,10),(5,11),(6,2),(6,9),(6,10),(6,11),(7,8),(8,5),(8,6)],12)
[3,4,5,6,7,12,11,10,9,8,1,2]=>([(0,10),(1,7),(8,9),(9,11),(10,8),(11,2),(11,3),(11,4),(11,5),(11,6)],12)
[11,12,9,10,7,8,5,6,1,2,4,3]=>([(0,10),(1,9),(2,8),(3,7),(4,11),(11,5),(11,6)],12)
[9,10,12,11,7,8,5,6,1,2,4,3]=>([(0,9),(1,8),(2,11),(3,10),(10,4),(10,5),(11,6),(11,7)],12)
[11,12,7,8,10,9,5,6,1,2,4,3]=>([(0,9),(1,8),(2,11),(3,10),(10,4),(10,5),(11,6),(11,7)],12)
[7,10,12,8,11,9,5,6,1,2,4,3]=>([(0,7),(1,10),(2,8),(2,9),(8,6),(8,11),(9,5),(9,11),(10,3),(10,4)],12)
[7,8,9,12,11,10,5,6,1,2,4,3]=>([(0,8),(1,10),(2,9),(9,11),(10,6),(10,7),(11,3),(11,4),(11,5)],12)
[11,12,9,10,5,6,8,7,1,2,4,3]=>([(0,9),(1,8),(2,11),(3,10),(10,4),(10,5),(11,6),(11,7)],12)
[9,10,12,11,5,6,8,7,1,2,4,3]=>([(0,11),(1,10),(2,9),(9,3),(9,4),(10,5),(10,6),(11,7),(11,8)],12)
[11,12,5,8,10,6,9,7,1,2,4,3]=>([(0,7),(1,10),(2,8),(2,9),(8,6),(8,11),(9,5),(9,11),(10,3),(10,4)],12)
[5,10,12,8,11,6,9,7,1,2,4,3]=>([(0,9),(1,6),(1,7),(1,8),(6,10),(6,11),(7,5),(7,10),(8,4),(8,11),(9,2),(9,3)],12)
[5,8,9,12,11,6,10,7,1,2,4,3]=>([(0,10),(1,7),(1,8),(7,9),(8,2),(8,11),(9,5),(9,6),(9,11),(10,3),(10,4)],12)
[11,12,5,6,7,10,9,8,1,2,4,3]=>([(0,8),(1,10),(2,9),(9,11),(10,6),(10,7),(11,3),(11,4),(11,5)],12)
[5,10,12,6,7,11,9,8,1,2,4,3]=>([(0,10),(1,7),(1,8),(7,9),(8,2),(8,11),(9,5),(9,6),(9,11),(10,3),(10,4)],12)
[5,6,9,12,7,11,10,8,1,2,4,3]=>([(0,9),(1,8),(6,5),(6,10),(6,11),(7,4),(7,10),(7,11),(8,2),(8,3),(9,6),(9,7)],12)
[5,6,7,8,12,11,10,9,1,2,4,3]=>([(0,9),(1,10),(8,11),(9,8),(10,6),(10,7),(11,2),(11,3),(11,4),(11,5)],12)
[11,12,9,10,7,8,1,4,6,2,5,3]=>([(0,8),(1,7),(2,6),(3,9),(3,10),(9,5),(9,11),(10,4),(10,11)],12)
[9,10,12,11,7,8,1,4,6,2,5,3]=>([(0,7),(1,10),(2,8),(2,9),(8,6),(8,11),(9,5),(9,11),(10,3),(10,4)],12)
[11,12,7,8,10,9,1,4,6,2,5,3]=>([(0,7),(1,10),(2,8),(2,9),(8,6),(8,11),(9,5),(9,11),(10,3),(10,4)],12)
[7,10,12,8,11,9,1,4,6,2,5,3]=>([(0,8),(0,9),(1,6),(1,7),(6,3),(6,10),(7,2),(7,10),(8,5),(8,11),(9,4),(9,11)],12)
[7,8,9,12,11,10,1,4,6,2,5,3]=>([(0,9),(1,7),(1,8),(7,6),(7,11),(8,5),(8,11),(9,10),(10,2),(10,3),(10,4)],12)
[11,12,9,10,1,6,8,4,7,2,5,3]=>([(0,7),(1,6),(2,5),(2,8),(2,9),(5,10),(5,11),(8,4),(8,10),(9,3),(9,11)],12)
[9,10,12,11,1,6,8,4,7,2,5,3]=>([(0,9),(1,6),(1,7),(1,8),(6,10),(6,11),(7,5),(7,10),(8,4),(8,11),(9,2),(9,3)],12)
[11,12,1,8,10,6,9,4,7,2,5,3]=>([(0,6),(1,4),(1,5),(1,7),(1,8),(4,9),(4,10),(5,9),(5,11),(7,3),(7,10),(8,2),(8,11)],12)
[1,10,12,8,11,6,9,4,7,2,5,3]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(3,8),(3,9),(4,8),(4,10),(5,9),(5,11),(6,2),(6,10),(7,1),(7,11)],12)
[1,8,9,12,11,6,10,4,7,2,5,3]=>([(0,4),(0,5),(0,6),(0,7),(4,9),(4,10),(5,10),(5,11),(6,8),(7,1),(7,9),(8,2),(8,3),(8,11)],12)
[11,12,1,6,7,10,9,4,8,2,5,3]=>([(0,6),(1,5),(1,7),(1,8),(5,10),(5,11),(7,9),(8,2),(8,10),(9,3),(9,4),(9,11)],12)
[1,10,12,6,7,11,9,4,8,2,5,3]=>([(0,4),(0,6),(0,7),(0,8),(4,9),(4,11),(5,1),(5,9),(5,10),(6,5),(7,2),(7,10),(8,3),(8,11)],12)
[1,6,9,12,7,11,10,4,8,2,5,3]=>([(0,4),(0,6),(0,7),(3,8),(3,10),(3,11),(4,8),(4,9),(5,2),(5,10),(5,11),(6,1),(6,9),(7,3),(7,5)],12)
[1,6,7,8,12,11,10,4,9,2,5,3]=>([(0,5),(0,7),(0,8),(5,10),(5,11),(6,9),(7,6),(8,1),(8,10),(9,2),(9,3),(9,4),(9,11)],12)
[11,12,9,10,1,4,5,8,7,2,6,3]=>([(0,7),(1,6),(2,8),(2,9),(8,10),(9,3),(9,11),(10,4),(10,5),(10,11)],12)
[9,10,12,11,1,4,5,8,7,2,6,3]=>([(0,10),(1,7),(1,8),(7,9),(8,2),(8,11),(9,5),(9,6),(9,11),(10,3),(10,4)],12)
[11,12,1,8,10,4,5,9,7,2,6,3]=>([(0,5),(1,6),(1,7),(1,8),(6,9),(7,4),(7,10),(8,3),(8,11),(9,2),(9,10),(9,11)],12)
[1,10,12,8,11,4,5,9,7,2,6,3]=>([(0,4),(0,6),(0,7),(0,8),(4,9),(4,11),(5,1),(5,9),(5,10),(6,5),(7,2),(7,10),(8,3),(8,11)],12)
[1,8,9,12,11,4,5,10,7,2,6,3]=>([(0,6),(0,7),(0,8),(5,2),(5,10),(5,11),(6,5),(7,9),(8,1),(8,10),(9,3),(9,4),(9,11)],12)
[11,12,1,4,7,10,5,9,8,2,6,3]=>([(0,5),(1,6),(1,8),(4,9),(4,10),(4,11),(6,3),(6,11),(7,2),(7,9),(7,10),(8,4),(8,7)],12)
[1,10,12,4,7,11,5,9,8,2,6,3]=>([(0,5),(0,6),(0,7),(3,8),(3,9),(3,10),(4,8),(4,9),(4,11),(5,2),(5,10),(6,1),(6,11),(7,3),(7,4)],12)
[1,4,9,12,7,11,5,10,8,2,6,3]=>([(0,6),(0,7),(3,8),(3,9),(3,11),(4,8),(4,10),(4,11),(5,2),(5,10),(5,11),(6,1),(6,9),(7,3),(7,4),(7,5)],12)
[1,4,7,8,12,11,5,10,9,2,6,3]=>([(0,6),(0,8),(4,9),(4,10),(4,11),(5,7),(6,1),(6,9),(7,2),(7,3),(7,10),(7,11),(8,4),(8,5)],12)
[11,12,1,4,5,6,10,9,8,2,7,3]=>([(0,6),(1,8),(1,9),(7,10),(8,7),(9,2),(9,11),(10,3),(10,4),(10,5),(10,11)],12)
[1,10,12,4,5,6,11,9,8,2,7,3]=>([(0,6),(0,7),(0,8),(5,9),(6,5),(7,4),(7,10),(8,3),(8,11),(9,1),(9,2),(9,10),(9,11)],12)
[1,4,9,12,5,6,11,10,8,2,7,3]=>([(0,7),(0,8),(4,6),(5,2),(5,9),(5,10),(6,1),(6,9),(6,10),(6,11),(7,3),(7,11),(8,4),(8,5)],12)
[1,4,5,8,12,6,11,10,9,2,7,3]=>([(0,5),(0,6),(3,8),(3,9),(3,10),(3,11),(4,2),(4,9),(4,10),(4,11),(5,7),(6,1),(6,8),(7,3),(7,4)],12)
[1,4,5,6,7,12,11,10,9,2,8,3]=>([(0,8),(0,9),(6,7),(7,10),(8,6),(9,1),(9,11),(10,2),(10,3),(10,4),(10,5),(10,11)],12)
[11,12,9,10,7,8,1,2,3,6,5,4]=>([(0,9),(1,8),(2,7),(3,10),(10,11),(11,4),(11,5),(11,6)],12)
[9,10,12,11,7,8,1,2,3,6,5,4]=>([(0,8),(1,10),(2,9),(9,11),(10,6),(10,7),(11,3),(11,4),(11,5)],12)
[11,12,7,8,10,9,1,2,3,6,5,4]=>([(0,8),(1,10),(2,9),(9,11),(10,6),(10,7),(11,3),(11,4),(11,5)],12)
[7,10,12,8,11,9,1,2,3,6,5,4]=>([(0,9),(1,7),(1,8),(7,6),(7,11),(8,5),(8,11),(9,10),(10,2),(10,3),(10,4)],12)
[7,8,9,12,11,10,1,2,3,6,5,4]=>([(0,9),(1,8),(8,10),(9,11),(10,2),(10,3),(10,4),(11,5),(11,6),(11,7)],12)
[11,12,9,10,1,6,8,2,3,7,5,4]=>([(0,7),(1,6),(2,8),(2,9),(8,10),(9,3),(9,11),(10,4),(10,5),(10,11)],12)
[9,10,12,11,1,6,8,2,3,7,5,4]=>([(0,10),(1,7),(1,8),(7,9),(8,2),(8,11),(9,5),(9,6),(9,11),(10,3),(10,4)],12)
[11,12,1,8,10,6,9,2,3,7,5,4]=>([(0,6),(1,5),(1,7),(1,8),(5,10),(5,11),(7,9),(8,2),(8,10),(9,3),(9,4),(9,11)],12)
[1,10,12,8,11,6,9,2,3,7,5,4]=>([(0,4),(0,5),(0,6),(0,7),(4,9),(4,10),(5,10),(5,11),(6,8),(7,1),(7,9),(8,2),(8,3),(8,11)],12)
[1,8,9,12,11,6,10,2,3,7,5,4]=>([(0,5),(0,6),(0,7),(5,10),(5,11),(6,9),(7,8),(8,1),(8,2),(8,10),(9,3),(9,4),(9,11)],12)
[11,12,1,6,7,10,9,2,3,8,5,4]=>([(0,6),(1,7),(1,8),(7,10),(8,9),(9,2),(9,3),(9,11),(10,4),(10,5),(10,11)],12)
[1,10,12,6,7,11,9,2,3,8,5,4]=>([(0,6),(0,7),(0,8),(5,2),(5,10),(5,11),(6,5),(7,9),(8,1),(8,10),(9,3),(9,4),(9,11)],12)
[1,6,9,12,7,11,10,2,3,8,5,4]=>([(0,6),(0,8),(4,9),(4,10),(4,11),(5,3),(5,10),(5,11),(6,7),(7,1),(7,2),(7,9),(8,4),(8,5)],12)
[1,6,7,8,12,11,10,2,3,9,5,4]=>([(0,7),(0,8),(6,10),(7,6),(8,9),(9,4),(9,5),(9,11),(10,1),(10,2),(10,3),(10,11)],12)
[11,12,9,10,1,2,5,8,3,7,6,4]=>([(0,6),(1,5),(2,9),(7,4),(7,10),(7,11),(8,3),(8,10),(8,11),(9,7),(9,8)],12)
[9,10,12,11,1,2,5,8,3,7,6,4]=>([(0,9),(1,8),(6,5),(6,10),(6,11),(7,4),(7,10),(7,11),(8,2),(8,3),(9,6),(9,7)],12)
[11,12,1,8,10,2,5,9,3,7,6,4]=>([(0,5),(1,6),(1,8),(4,9),(4,10),(4,11),(6,3),(6,11),(7,2),(7,9),(7,10),(8,4),(8,7)],12)
[1,10,12,8,11,2,5,9,3,7,6,4]=>([(0,4),(0,6),(0,7),(3,8),(3,10),(3,11),(4,8),(4,9),(5,2),(5,10),(5,11),(6,1),(6,9),(7,3),(7,5)],12)
[1,8,9,12,11,2,5,10,3,7,6,4]=>([(0,6),(0,8),(4,9),(4,10),(4,11),(5,3),(5,10),(5,11),(6,7),(7,1),(7,2),(7,9),(8,4),(8,5)],12)
[11,12,1,2,7,10,5,9,3,8,6,4]=>([(0,5),(1,8),(4,9),(4,10),(4,11),(6,3),(6,9),(6,11),(7,2),(7,10),(7,11),(8,4),(8,6),(8,7)],12)
[1,10,12,2,7,11,5,9,3,8,6,4]=>([(0,6),(0,7),(3,8),(3,9),(3,11),(4,8),(4,10),(4,11),(5,2),(5,10),(5,11),(6,1),(6,9),(7,3),(7,4),(7,5)],12)
[1,2,9,12,7,11,5,10,3,8,6,4]=>([(0,7),(3,8),(3,10),(3,11),(4,9),(4,10),(4,11),(5,2),(5,8),(5,10),(6,1),(6,9),(6,11),(7,3),(7,4),(7,5),(7,6)],12)
[1,2,7,8,12,11,5,10,3,9,6,4]=>([(0,8),(4,9),(4,10),(4,11),(5,7),(6,1),(6,9),(6,11),(7,2),(7,3),(7,10),(7,11),(8,4),(8,5),(8,6)],12)
[11,12,1,2,5,6,10,9,3,8,7,4]=>([(0,9),(1,5),(6,8),(7,2),(7,10),(7,11),(8,3),(8,4),(8,10),(8,11),(9,6),(9,7)],12)
[1,10,12,2,5,6,11,9,3,8,7,4]=>([(0,7),(0,8),(4,6),(5,2),(5,9),(5,10),(6,1),(6,9),(6,10),(6,11),(7,3),(7,11),(8,4),(8,5)],12)
[1,2,9,12,5,6,11,10,3,8,7,4]=>([(0,7),(3,8),(3,9),(3,10),(3,11),(4,3),(5,2),(5,8),(5,9),(6,1),(6,10),(6,11),(7,4),(7,5),(7,6)],12)
[1,2,5,8,12,6,11,10,3,9,7,4]=>([(0,7),(3,8),(3,9),(3,10),(3,11),(4,2),(4,10),(4,11),(5,1),(5,8),(5,9),(5,11),(6,3),(6,5),(7,4),(7,6)],12)
[1,2,5,6,7,12,11,10,3,9,8,4]=>([(0,8),(5,6),(6,9),(7,1),(7,10),(7,11),(8,5),(8,7),(9,2),(9,3),(9,4),(9,10),(9,11)],12)
[11,12,9,10,1,2,3,4,8,7,6,5]=>([(0,10),(1,8),(2,7),(9,11),(10,9),(11,3),(11,4),(11,5),(11,6)],12)
[9,10,12,11,1,2,3,4,8,7,6,5]=>([(0,9),(1,10),(8,11),(9,8),(10,6),(10,7),(11,2),(11,3),(11,4),(11,5)],12)
[11,12,1,8,10,2,3,4,9,7,6,5]=>([(0,6),(1,8),(1,9),(7,10),(8,7),(9,2),(9,11),(10,3),(10,4),(10,5),(10,11)],12)
[1,10,12,8,11,2,3,4,9,7,6,5]=>([(0,5),(0,7),(0,8),(5,10),(5,11),(6,9),(7,6),(8,1),(8,10),(9,2),(9,3),(9,4),(9,11)],12)
[1,8,9,12,11,2,3,4,10,7,6,5]=>([(0,7),(0,8),(6,10),(7,6),(8,9),(9,4),(9,5),(9,11),(10,1),(10,2),(10,3),(10,11)],12)
[11,12,1,2,7,10,3,4,9,8,6,5]=>([(0,9),(1,5),(6,8),(7,2),(7,10),(7,11),(8,3),(8,4),(8,10),(8,11),(9,6),(9,7)],12)
[1,10,12,2,7,11,3,4,9,8,6,5]=>([(0,6),(0,8),(4,9),(4,10),(4,11),(5,7),(6,1),(6,9),(7,2),(7,3),(7,10),(7,11),(8,4),(8,5)],12)
[1,2,9,12,7,11,3,4,10,8,6,5]=>([(0,8),(4,9),(4,10),(4,11),(5,7),(6,1),(6,9),(6,11),(7,2),(7,3),(7,10),(7,11),(8,4),(8,5),(8,6)],12)
[1,2,7,8,12,11,3,4,10,9,6,5]=>([(0,9),(5,8),(6,7),(7,1),(7,2),(7,10),(7,11),(8,3),(8,4),(8,10),(8,11),(9,5),(9,6)],12)
[11,12,1,2,3,6,10,4,9,8,7,5]=>([(0,7),(1,4),(5,3),(5,9),(5,10),(5,11),(6,2),(6,9),(6,10),(6,11),(7,8),(8,5),(8,6)],12)
[1,10,12,2,3,6,11,4,9,8,7,5]=>([(0,5),(0,6),(3,8),(3,9),(3,10),(3,11),(4,2),(4,9),(4,10),(4,11),(5,7),(6,1),(6,8),(7,3),(7,4)],12)
[1,2,9,12,3,6,11,4,10,8,7,5]=>([(0,7),(3,8),(3,9),(3,10),(3,11),(4,2),(4,10),(4,11),(5,1),(5,8),(5,9),(5,11),(6,3),(6,5),(7,4),(7,6)],12)
[1,2,3,8,12,6,11,4,10,9,7,5]=>([(0,6),(3,8),(3,9),(3,10),(3,11),(4,2),(4,8),(4,10),(4,11),(5,1),(5,9),(5,10),(5,11),(6,7),(7,3),(7,4),(7,5)],12)
[1,2,3,6,7,12,11,4,10,9,8,5]=>([(0,6),(4,8),(5,3),(5,9),(5,10),(5,11),(6,7),(7,4),(7,5),(8,1),(8,2),(8,9),(8,10),(8,11)],12)
[11,12,1,2,3,4,5,10,9,8,7,6]=>([(0,10),(1,7),(8,9),(9,11),(10,8),(11,2),(11,3),(11,4),(11,5),(11,6)],12)
[1,10,12,2,3,4,5,11,9,8,7,6]=>([(0,8),(0,9),(6,7),(7,10),(8,6),(9,1),(9,11),(10,2),(10,3),(10,4),(10,5),(10,11)],12)
[1,2,9,12,3,4,5,11,10,8,7,6]=>([(0,8),(5,6),(6,9),(7,1),(7,10),(7,11),(8,5),(8,7),(9,2),(9,3),(9,4),(9,10),(9,11)],12)
[1,2,3,8,12,4,5,11,10,9,7,6]=>([(0,6),(4,8),(5,3),(5,9),(5,10),(5,11),(6,7),(7,4),(7,5),(8,1),(8,2),(8,9),(8,10),(8,11)],12)
[1,2,3,4,7,12,5,11,10,9,8,6]=>([(0,6),(3,7),(4,2),(4,8),(4,9),(4,10),(4,11),(5,1),(5,8),(5,9),(5,10),(5,11),(6,3),(7,4),(7,5)],12)
[1,2,3,4,5,6,12,11,10,9,8,7]=>([(0,10),(7,9),(8,11),(9,8),(10,7),(11,1),(11,2),(11,3),(11,4),(11,5),(11,6)],12)
[10,12,9,11,7,8,5,6,3,4,1,2]=>([(0,11),(1,9),(2,8),(3,7),(4,6),(5,10),(5,11)],12)
[11,12,8,10,7,9,5,6,3,4,1,2]=>([(0,11),(1,9),(2,8),(3,7),(4,6),(5,10),(5,11)],12)
[10,12,8,11,7,9,5,6,3,4,1,2]=>([(0,11),(1,10),(1,11),(2,8),(3,7),(4,6),(5,9),(5,10)],12)
[9,12,8,11,7,10,5,6,3,4,1,2]=>([(0,11),(1,10),(1,11),(2,8),(3,7),(4,6),(5,9),(5,10),(5,11)],12)
[11,12,9,10,6,8,5,7,3,4,1,2]=>([(0,11),(1,9),(2,8),(3,7),(4,6),(5,10),(5,11)],12)
[10,12,9,11,6,8,5,7,3,4,1,2]=>([(0,11),(1,10),(2,7),(3,6),(4,8),(4,10),(5,9),(5,11)],12)
[11,12,8,10,6,9,5,7,3,4,1,2]=>([(0,11),(1,10),(1,11),(2,8),(3,7),(4,6),(5,9),(5,10)],12)
[10,12,8,11,6,9,5,7,3,4,1,2]=>([(0,11),(1,9),(1,10),(2,9),(2,11),(3,8),(4,7),(5,6),(5,10)],12)
[9,12,8,11,6,10,5,7,3,4,1,2]=>([(0,9),(1,9),(1,11),(2,10),(2,11),(3,8),(4,7),(5,6),(5,10),(5,11)],12)
[11,12,7,10,6,9,5,8,3,4,1,2]=>([(0,11),(1,10),(1,11),(2,8),(3,7),(4,6),(5,9),(5,10),(5,11)],12)
[10,12,7,11,6,9,5,8,3,4,1,2]=>([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(4,7),(5,6),(5,9)],12)
[9,12,7,11,6,10,5,8,3,4,1,2]=>([(0,10),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(4,7),(5,6),(5,9),(5,11)],12)
[8,12,7,11,6,10,5,9,3,4,1,2]=>([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(4,7),(5,6),(5,9),(5,10),(5,11)],12)
[11,12,9,10,7,8,4,6,3,5,1,2]=>([(0,11),(1,9),(2,8),(3,7),(4,6),(5,10),(5,11)],12)
[10,12,9,11,7,8,4,6,3,5,1,2]=>([(0,11),(1,10),(2,7),(3,6),(4,8),(4,10),(5,9),(5,11)],12)
[11,12,8,10,7,9,4,6,3,5,1,2]=>([(0,11),(1,10),(2,7),(3,6),(4,8),(4,10),(5,9),(5,11)],12)
[10,12,8,11,7,9,4,6,3,5,1,2]=>([(0,10),(1,9),(2,9),(2,11),(3,6),(4,7),(4,10),(5,8),(5,11)],12)
[9,12,8,11,7,10,4,6,3,5,1,2]=>([(0,11),(1,10),(2,9),(2,11),(3,7),(4,8),(4,10),(5,6),(5,9),(5,11)],12)
[11,12,9,10,6,8,4,7,3,5,1,2]=>([(0,11),(1,10),(1,11),(2,8),(3,7),(4,6),(5,9),(5,10)],12)
[10,12,9,11,6,8,4,7,3,5,1,2]=>([(0,10),(1,9),(2,9),(2,11),(3,6),(4,7),(4,10),(5,8),(5,11)],12)
[11,12,8,10,6,9,4,7,3,5,1,2]=>([(0,11),(1,9),(1,10),(2,9),(2,11),(3,8),(4,7),(5,6),(5,10)],12)
[10,12,8,11,6,9,4,7,3,5,1,2]=>([(0,11),(1,8),(1,9),(2,8),(2,10),(3,9),(3,11),(4,7),(5,6),(5,10)],12)
[9,12,8,11,6,10,4,7,3,5,1,2]=>([(0,10),(1,9),(1,11),(2,8),(2,11),(3,9),(3,10),(4,7),(5,6),(5,8),(5,11)],12)
[11,12,7,10,6,9,4,8,3,5,1,2]=>([(0,9),(1,9),(1,11),(2,10),(2,11),(3,8),(4,7),(5,6),(5,10),(5,11)],12)
[10,12,7,11,6,9,4,8,3,5,1,2]=>([(0,8),(1,9),(1,11),(2,8),(2,11),(3,9),(3,10),(3,11),(4,7),(5,6),(5,10)],12)
[9,12,7,11,6,10,4,8,3,5,1,2]=>([(0,10),(0,11),(1,8),(2,8),(2,10),(3,9),(3,10),(3,11),(4,7),(5,6),(5,9),(5,11)],12)
[8,12,7,11,6,10,4,9,3,5,1,2]=>([(0,10),(0,11),(1,8),(2,8),(2,11),(3,9),(3,10),(3,11),(4,7),(5,6),(5,9),(5,10),(5,11)],12)
[11,12,9,10,5,8,4,7,3,6,1,2]=>([(0,11),(1,10),(1,11),(2,8),(3,7),(4,6),(5,9),(5,10),(5,11)],12)
[10,12,9,11,5,8,4,7,3,6,1,2]=>([(0,11),(1,10),(2,9),(2,11),(3,7),(4,8),(4,10),(5,6),(5,9),(5,11)],12)
[11,12,8,10,5,9,4,7,3,6,1,2]=>([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(4,7),(5,6),(5,9)],12)
[10,12,8,11,5,9,4,7,3,6,1,2]=>([(0,11),(1,10),(1,11),(2,8),(2,9),(3,8),(3,10),(3,11),(4,7),(5,6),(5,9)],12)
[9,12,8,11,5,10,4,7,3,6,1,2]=>([(0,11),(1,9),(1,10),(2,8),(2,11),(3,8),(3,10),(3,11),(4,7),(5,6),(5,9),(5,10)],12)
[11,12,7,10,5,9,4,8,3,6,1,2]=>([(0,10),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(4,7),(5,6),(5,9),(5,11)],12)
[10,12,7,11,5,9,4,8,3,6,1,2]=>([(0,10),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,11),(4,7),(5,6),(5,8)],12)
[9,12,7,11,5,10,4,8,3,6,1,2]=>([(0,9),(1,9),(1,10),(2,9),(2,10),(2,11),(3,8),(3,10),(3,11),(4,7),(5,6),(5,8),(5,11)],12)
[8,12,7,11,5,10,4,9,3,6,1,2]=>([(0,9),(1,9),(1,11),(2,9),(2,10),(2,11),(3,8),(3,10),(3,11),(4,7),(5,6),(5,8),(5,10),(5,11)],12)
[11,12,6,10,5,9,4,8,3,7,1,2]=>([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(4,7),(5,6),(5,9),(5,10),(5,11)],12)
[10,12,6,11,5,9,4,8,3,7,1,2]=>([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(5,6),(5,8)],12)
[9,12,6,11,5,10,4,8,3,7,1,2]=>([(0,11),(1,9),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(5,6),(5,8),(5,10)],12)
[8,12,6,11,5,10,4,9,3,7,1,2]=>([(0,10),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(5,6),(5,8),(5,9),(5,11)],12)
[7,12,6,11,5,10,4,9,3,8,1,2]=>([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(5,6),(5,8),(5,9),(5,10),(5,11)],12)
[11,12,9,10,7,8,5,6,2,4,1,3]=>([(0,11),(1,9),(2,8),(3,7),(4,6),(5,10),(5,11)],12)
[10,12,9,11,7,8,5,6,2,4,1,3]=>([(0,11),(1,10),(2,7),(3,6),(4,8),(4,10),(5,9),(5,11)],12)
[11,12,8,10,7,9,5,6,2,4,1,3]=>([(0,11),(1,10),(2,7),(3,6),(4,8),(4,10),(5,9),(5,11)],12)
[10,12,8,11,7,9,5,6,2,4,1,3]=>([(0,10),(1,9),(2,9),(2,11),(3,6),(4,7),(4,10),(5,8),(5,11)],12)
[9,12,8,11,7,10,5,6,2,4,1,3]=>([(0,11),(1,10),(2,9),(2,11),(3,7),(4,8),(4,10),(5,6),(5,9),(5,11)],12)
[11,12,9,10,6,8,5,7,2,4,1,3]=>([(0,11),(1,10),(2,7),(3,6),(4,8),(4,10),(5,9),(5,11)],12)
[10,12,9,11,6,8,5,7,2,4,1,3]=>([(0,11),(1,10),(2,9),(3,6),(3,9),(4,7),(4,10),(5,8),(5,11)],12)
[11,12,8,10,6,9,5,7,2,4,1,3]=>([(0,10),(1,9),(2,9),(2,11),(3,6),(4,7),(4,10),(5,8),(5,11)],12)
[10,12,8,11,6,9,5,7,2,4,1,3]=>([(0,8),(1,10),(2,8),(2,9),(3,9),(3,11),(4,6),(4,11),(5,7),(5,10)],12)
[9,12,8,11,6,10,5,7,2,4,1,3]=>([(0,8),(1,10),(2,8),(2,11),(3,9),(3,11),(4,7),(4,10),(5,6),(5,9),(5,11)],12)
[11,12,7,10,6,9,5,8,2,4,1,3]=>([(0,11),(1,10),(2,9),(2,11),(3,7),(4,8),(4,10),(5,6),(5,9),(5,11)],12)
[10,12,7,11,6,9,5,8,2,4,1,3]=>([(0,11),(1,9),(2,8),(2,11),(3,8),(3,10),(3,11),(4,6),(4,9),(5,7),(5,10)],12)
[9,12,7,11,6,10,5,8,2,4,1,3]=>([(0,10),(1,10),(1,11),(2,9),(3,8),(3,10),(3,11),(4,7),(4,9),(5,6),(5,8),(5,11)],12)
[8,12,7,11,6,10,5,9,2,4,1,3]=>([(0,11),(1,10),(1,11),(2,9),(3,8),(3,10),(3,11),(4,7),(4,9),(5,6),(5,8),(5,10),(5,11)],12)
[11,12,9,10,7,8,4,6,2,5,1,3]=>([(0,11),(1,10),(1,11),(2,8),(3,7),(4,6),(5,9),(5,10)],12)
[10,12,9,11,7,8,4,6,2,5,1,3]=>([(0,10),(1,9),(2,9),(2,11),(3,6),(4,7),(4,10),(5,8),(5,11)],12)
[11,12,8,10,7,9,4,6,2,5,1,3]=>([(0,10),(1,9),(2,9),(2,11),(3,6),(4,7),(4,10),(5,8),(5,11)],12)
[10,12,8,11,7,9,4,6,2,5,1,3]=>([(0,9),(1,8),(2,8),(2,10),(3,9),(3,11),(4,6),(4,10),(5,7),(5,11)],12)
[9,12,8,11,7,10,4,6,2,5,1,3]=>([(0,11),(1,9),(2,8),(2,11),(3,9),(3,10),(4,7),(4,10),(5,6),(5,8),(5,11)],12)
[11,12,9,10,6,8,4,7,2,5,1,3]=>([(0,11),(1,9),(1,10),(2,9),(2,11),(3,8),(4,7),(5,6),(5,10)],12)
[10,12,9,11,6,8,4,7,2,5,1,3]=>([(0,8),(1,10),(2,8),(2,9),(3,9),(3,11),(4,6),(4,11),(5,7),(5,10)],12)
[11,12,8,10,6,9,4,7,2,5,1,3]=>([(0,11),(1,8),(1,9),(2,8),(2,10),(3,9),(3,11),(4,7),(5,6),(5,10)],12)
[10,12,8,11,6,9,4,7,2,5,1,3]=>([(0,10),(1,7),(1,8),(2,7),(2,9),(3,8),(3,10),(4,9),(4,11),(5,6),(5,11)],12)
[9,12,8,11,6,10,4,7,2,5,1,3]=>([(0,8),(1,7),(1,11),(2,10),(2,11),(3,7),(3,9),(4,8),(4,9),(5,6),(5,10),(5,11)],12)
[11,12,7,10,6,9,4,8,2,5,1,3]=>([(0,10),(1,9),(1,11),(2,8),(2,11),(3,9),(3,10),(4,7),(5,6),(5,8),(5,11)],12)
[10,12,7,11,6,9,4,8,2,5,1,3]=>([(0,9),(1,8),(1,11),(2,7),(2,11),(3,8),(3,9),(4,7),(4,10),(4,11),(5,6),(5,10)],12)
[9,12,7,11,6,10,4,8,2,5,1,3]=>([(0,10),(0,11),(1,7),(2,8),(2,10),(3,9),(3,10),(3,11),(4,7),(4,8),(5,6),(5,9),(5,11)],12)
[8,12,7,11,6,10,4,9,2,5,1,3]=>([(0,10),(0,11),(1,7),(2,8),(2,11),(3,9),(3,10),(3,11),(4,7),(4,8),(5,6),(5,9),(5,10),(5,11)],12)
[11,12,9,10,5,8,4,7,2,6,1,3]=>([(0,9),(1,9),(1,11),(2,10),(2,11),(3,8),(4,7),(5,6),(5,10),(5,11)],12)
[10,12,9,11,5,8,4,7,2,6,1,3]=>([(0,8),(1,10),(2,8),(2,11),(3,9),(3,11),(4,7),(4,10),(5,6),(5,9),(5,11)],12)
[11,12,8,10,5,9,4,7,2,6,1,3]=>([(0,8),(1,9),(1,11),(2,8),(2,11),(3,9),(3,10),(3,11),(4,7),(5,6),(5,10)],12)
[10,12,8,11,5,9,4,7,2,6,1,3]=>([(0,8),(1,7),(1,11),(2,8),(2,11),(3,9),(3,10),(4,7),(4,9),(4,11),(5,6),(5,10)],12)
[9,12,8,11,5,10,4,7,2,6,1,3]=>([(0,8),(1,7),(1,10),(2,8),(2,10),(3,9),(3,11),(4,7),(4,10),(4,11),(5,6),(5,9),(5,11)],12)
[11,12,7,10,5,9,4,8,2,6,1,3]=>([(0,10),(0,11),(1,8),(2,8),(2,10),(3,9),(3,10),(3,11),(4,7),(5,6),(5,9),(5,11)],12)
[10,12,7,11,5,9,4,8,2,6,1,3]=>([(0,10),(0,11),(1,7),(2,7),(2,10),(3,8),(3,10),(3,11),(4,8),(4,9),(4,11),(5,6),(5,9)],12)
[9,12,7,11,5,10,4,8,2,6,1,3]=>([(0,9),(0,10),(1,9),(1,10),(1,11),(2,7),(3,7),(3,10),(4,8),(4,9),(4,11),(5,6),(5,8),(5,11)],12)
[8,12,7,11,5,10,4,9,2,6,1,3]=>([(0,9),(0,11),(1,9),(1,10),(1,11),(2,7),(3,7),(3,9),(4,8),(4,10),(4,11),(5,6),(5,8),(5,10),(5,11)],12)
[11,12,6,10,5,9,4,8,2,7,1,3]=>([(0,10),(0,11),(1,8),(2,8),(2,11),(3,9),(3,10),(3,11),(4,7),(5,6),(5,9),(5,10),(5,11)],12)
[10,12,6,11,5,9,4,8,2,7,1,3]=>([(0,10),(0,11),(1,7),(2,7),(2,11),(3,8),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,9)],12)
[9,12,6,11,5,10,4,8,2,7,1,3]=>([(0,9),(0,11),(1,9),(1,10),(1,11),(2,7),(3,7),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,10)],12)
[8,12,6,11,5,10,4,9,2,7,1,3]=>([(0,10),(0,11),(1,9),(1,10),(1,11),(2,7),(3,7),(3,10),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,11)],12)
[7,12,6,11,5,10,4,9,2,8,1,3]=>([(0,10),(0,11),(1,9),(1,10),(1,11),(2,7),(3,7),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11)],12)
[11,12,9,10,7,8,3,6,2,5,1,4]=>([(0,11),(1,10),(1,11),(2,8),(3,7),(4,6),(5,9),(5,10),(5,11)],12)
[10,12,9,11,7,8,3,6,2,5,1,4]=>([(0,11),(1,10),(2,9),(2,11),(3,7),(4,8),(4,10),(5,6),(5,9),(5,11)],12)
[11,12,8,10,7,9,3,6,2,5,1,4]=>([(0,11),(1,10),(2,9),(2,11),(3,7),(4,8),(4,10),(5,6),(5,9),(5,11)],12)
[10,12,8,11,7,9,3,6,2,5,1,4]=>([(0,11),(1,9),(2,8),(2,11),(3,9),(3,10),(4,7),(4,10),(5,6),(5,8),(5,11)],12)
[9,12,8,11,7,10,3,6,2,5,1,4]=>([(0,11),(1,10),(2,8),(2,10),(3,9),(3,11),(4,6),(4,8),(4,10),(5,7),(5,9),(5,11)],12)
[11,12,9,10,6,8,3,7,2,5,1,4]=>([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(4,7),(5,6),(5,9)],12)
[10,12,9,11,6,8,3,7,2,5,1,4]=>([(0,11),(1,9),(2,8),(2,11),(3,8),(3,10),(3,11),(4,6),(4,9),(5,7),(5,10)],12)
[11,12,8,10,6,9,3,7,2,5,1,4]=>([(0,11),(1,10),(1,11),(2,8),(2,9),(3,8),(3,10),(3,11),(4,7),(5,6),(5,9)],12)
[10,12,8,11,6,9,3,7,2,5,1,4]=>([(0,11),(1,9),(1,11),(2,7),(2,8),(3,7),(3,10),(4,8),(4,9),(4,11),(5,6),(5,10)],12)
[9,12,8,11,6,10,3,7,2,5,1,4]=>([(0,10),(1,7),(1,10),(2,8),(2,11),(3,9),(3,11),(4,7),(4,8),(4,10),(5,6),(5,9),(5,11)],12)
[11,12,7,10,6,9,3,8,2,5,1,4]=>([(0,11),(1,9),(1,10),(2,8),(2,11),(3,8),(3,10),(3,11),(4,7),(5,6),(5,9),(5,10)],12)
[10,12,7,11,6,9,3,8,2,5,1,4]=>([(0,11),(1,8),(1,10),(2,7),(2,11),(3,7),(3,10),(3,11),(4,8),(4,9),(4,10),(5,6),(5,9)],12)
[9,12,7,11,6,10,3,8,2,5,1,4]=>([(0,10),(1,9),(1,11),(2,7),(2,10),(3,7),(3,9),(3,10),(4,8),(4,9),(4,11),(5,6),(5,8),(5,11)],12)
[8,12,7,11,6,10,3,9,2,5,1,4]=>([(0,9),(1,10),(1,11),(2,7),(2,9),(3,7),(3,9),(3,11),(4,8),(4,10),(4,11),(5,6),(5,8),(5,10),(5,11)],12)
[11,12,9,10,5,8,3,7,2,6,1,4]=>([(0,10),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(4,7),(5,6),(5,9),(5,11)],12)
[10,12,9,11,5,8,3,7,2,6,1,4]=>([(0,10),(1,10),(1,11),(2,9),(3,8),(3,10),(3,11),(4,7),(4,9),(5,6),(5,8),(5,11)],12)
[11,12,8,10,5,9,3,7,2,6,1,4]=>([(0,10),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,11),(4,7),(5,6),(5,8)],12)
[10,12,8,11,5,9,3,7,2,6,1,4]=>([(0,10),(1,10),(1,11),(2,8),(2,10),(2,11),(3,7),(3,9),(4,7),(4,8),(4,11),(5,6),(5,9)],12)
[9,12,8,11,5,10,3,7,2,6,1,4]=>([(0,10),(1,9),(1,10),(2,8),(2,11),(3,7),(3,9),(3,10),(4,7),(4,9),(4,11),(5,6),(5,8),(5,11)],12)
[11,12,7,10,5,9,3,8,2,6,1,4]=>([(0,9),(1,9),(1,10),(2,9),(2,10),(2,11),(3,8),(3,10),(3,11),(4,7),(5,6),(5,8),(5,11)],12)
[10,12,7,11,5,9,3,8,2,6,1,4]=>([(0,9),(1,9),(1,10),(2,9),(2,10),(2,11),(3,7),(3,10),(3,11),(4,7),(4,8),(4,11),(5,6),(5,8)],12)
[9,12,7,11,5,10,3,8,2,6,1,4]=>([(0,9),(1,8),(1,9),(2,8),(2,9),(2,10),(3,8),(3,10),(3,11),(4,7),(4,10),(4,11),(5,6),(5,7),(5,11)],12)
[8,12,7,11,5,10,3,9,2,6,1,4]=>([(0,9),(1,8),(1,9),(2,8),(2,9),(2,11),(3,8),(3,10),(3,11),(4,7),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11)],12)
[11,12,6,10,5,9,3,8,2,7,1,4]=>([(0,9),(1,9),(1,11),(2,9),(2,10),(2,11),(3,8),(3,10),(3,11),(4,7),(5,6),(5,8),(5,10),(5,11)],12)
[10,12,6,11,5,9,3,8,2,7,1,4]=>([(0,9),(1,9),(1,11),(2,9),(2,10),(2,11),(3,7),(3,10),(3,11),(4,7),(4,8),(4,10),(4,11),(5,6),(5,8)],12)
[9,12,6,11,5,10,3,8,2,7,1,4]=>([(0,8),(1,8),(1,11),(2,8),(2,9),(2,11),(3,9),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,10)],12)
[8,12,6,11,5,10,3,9,2,7,1,4]=>([(0,8),(1,8),(1,10),(2,8),(2,10),(2,11),(3,9),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,11)],12)
[7,12,6,11,5,10,3,9,2,8,1,4]=>([(0,8),(1,8),(1,11),(2,8),(2,10),(2,11),(3,9),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11)],12)
[11,12,9,10,4,8,3,7,2,6,1,5]=>([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(4,7),(5,6),(5,9),(5,10),(5,11)],12)
[10,12,9,11,4,8,3,7,2,6,1,5]=>([(0,11),(1,10),(1,11),(2,9),(3,8),(3,10),(3,11),(4,7),(4,9),(5,6),(5,8),(5,10),(5,11)],12)
[11,12,8,10,4,9,3,7,2,6,1,5]=>([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(5,6),(5,8)],12)
[10,12,8,11,4,9,3,7,2,6,1,5]=>([(0,11),(1,10),(1,11),(2,8),(2,10),(2,11),(3,7),(3,9),(4,7),(4,8),(4,10),(4,11),(5,6),(5,9)],12)
[9,12,8,11,4,10,3,7,2,6,1,5]=>([(0,11),(1,9),(1,11),(2,8),(2,10),(3,7),(3,9),(3,11),(4,7),(4,9),(4,10),(4,11),(5,6),(5,8),(5,10)],12)
[11,12,7,10,4,9,3,8,2,6,1,5]=>([(0,11),(1,9),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(5,6),(5,8),(5,10)],12)
[10,12,7,11,4,9,3,8,2,6,1,5]=>([(0,11),(1,9),(1,11),(2,9),(2,10),(2,11),(3,7),(3,9),(3,10),(3,11),(4,7),(4,8),(4,10),(5,6),(5,8)],12)
[9,12,7,11,4,10,3,8,2,6,1,5]=>([(0,11),(1,8),(1,11),(2,8),(2,9),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,9),(4,10),(5,6),(5,7),(5,10)],12)
[8,12,7,11,4,10,3,9,2,6,1,5]=>([(0,10),(1,8),(1,10),(2,8),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,9),(4,11),(5,6),(5,7),(5,9),(5,11)],12)
[11,12,6,10,4,9,3,8,2,7,1,5]=>([(0,10),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(5,6),(5,8),(5,9),(5,11)],12)
[10,12,6,11,4,9,3,8,2,7,1,5]=>([(0,10),(1,10),(1,11),(2,9),(2,10),(2,11),(3,7),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,11),(5,6),(5,8)],12)
[9,12,6,11,4,10,3,8,2,7,1,5]=>([(0,10),(1,10),(1,11),(2,8),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,11),(5,6),(5,7),(5,9)],12)
[8,12,6,11,4,10,3,9,2,7,1,5]=>([(0,9),(1,9),(1,10),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,10),(4,11),(5,6),(5,7),(5,8),(5,11)],12)
[7,12,6,11,4,10,3,9,2,8,1,5]=>([(0,9),(1,9),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11)],12)
[11,12,5,10,4,9,3,8,2,7,1,6]=>([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(5,6),(5,8),(5,9),(5,10),(5,11)],12)
[10,12,5,11,4,9,3,8,2,7,1,6]=>([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,7),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8)],12)
[9,12,5,11,4,10,3,8,2,7,1,6]=>([(0,11),(1,10),(1,11),(2,8),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9)],12)
[8,12,5,11,4,10,3,9,2,7,1,6]=>([(0,11),(1,9),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10)],12)
[7,12,5,11,4,10,3,9,2,8,1,6]=>([(0,10),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,11)],12)
[6,12,5,11,4,10,3,9,2,8,1,7]=>([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[11,9,7,5,3,1,12,10,8,6,4,2]=>([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,9,7,5,3,1,12,11,8,6,4,2]=>([(0,10),(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[11,8,7,5,3,1,12,10,9,6,4,2]=>([(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,8,7,5,3,1,12,11,9,6,4,2]=>([(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[9,8,7,5,3,1,12,11,10,6,4,2]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[11,9,6,5,3,1,12,10,8,7,4,2]=>([(0,11),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,9,6,5,3,1,12,11,8,7,4,2]=>([(0,10),(0,11),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[11,8,6,5,3,1,12,10,9,7,4,2]=>([(0,11),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,8,6,5,3,1,12,11,9,7,4,2]=>([(0,10),(0,11),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[9,8,6,5,3,1,12,11,10,7,4,2]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[11,7,6,5,3,1,12,10,9,8,4,2]=>([(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,7,6,5,3,1,12,11,9,8,4,2]=>([(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[9,7,6,5,3,1,12,11,10,8,4,2]=>([(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[8,7,6,5,3,1,12,11,10,9,4,2]=>([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[11,9,7,4,3,1,12,10,8,6,5,2]=>([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,9,7,4,3,1,12,11,8,6,5,2]=>([(0,10),(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[11,8,7,4,3,1,12,10,9,6,5,2]=>([(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,8,7,4,3,1,12,11,9,6,5,2]=>([(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[9,8,7,4,3,1,12,11,10,6,5,2]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[11,9,6,4,3,1,12,10,8,7,5,2]=>([(0,11),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,9,6,4,3,1,12,11,8,7,5,2]=>([(0,10),(0,11),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[11,8,6,4,3,1,12,10,9,7,5,2]=>([(0,11),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,8,6,4,3,1,12,11,9,7,5,2]=>([(0,10),(0,11),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[9,8,6,4,3,1,12,11,10,7,5,2]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[11,7,6,4,3,1,12,10,9,8,5,2]=>([(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,7,6,4,3,1,12,11,9,8,5,2]=>([(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[9,7,6,4,3,1,12,11,10,8,5,2]=>([(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[8,7,6,4,3,1,12,11,10,9,5,2]=>([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[11,9,5,4,3,1,12,10,8,7,6,2]=>([(0,11),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,9,5,4,3,1,12,11,8,7,6,2]=>([(0,10),(0,11),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[11,8,5,4,3,1,12,10,9,7,6,2]=>([(0,11),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,8,5,4,3,1,12,11,9,7,6,2]=>([(0,10),(0,11),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[9,8,5,4,3,1,12,11,10,7,6,2]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[11,7,5,4,3,1,12,10,9,8,6,2]=>([(0,11),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,7,5,4,3,1,12,11,9,8,6,2]=>([(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[9,7,5,4,3,1,12,11,10,8,6,2]=>([(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[8,7,5,4,3,1,12,11,10,9,6,2]=>([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[11,6,5,4,3,1,12,10,9,8,7,2]=>([(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,6,5,4,3,1,12,11,9,8,7,2]=>([(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[9,6,5,4,3,1,12,11,10,8,7,2]=>([(0,9),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[8,6,5,4,3,1,12,11,10,9,7,2]=>([(0,8),(0,9),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[7,6,5,4,3,1,12,11,10,9,8,2]=>([(0,7),(0,8),(0,9),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[11,9,7,5,2,1,12,10,8,6,4,3]=>([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,9,7,5,2,1,12,11,8,6,4,3]=>([(0,10),(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[11,8,7,5,2,1,12,10,9,6,4,3]=>([(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,8,7,5,2,1,12,11,9,6,4,3]=>([(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[9,8,7,5,2,1,12,11,10,6,4,3]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[11,9,6,5,2,1,12,10,8,7,4,3]=>([(0,11),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,9,6,5,2,1,12,11,8,7,4,3]=>([(0,10),(0,11),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[11,8,6,5,2,1,12,10,9,7,4,3]=>([(0,11),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,8,6,5,2,1,12,11,9,7,4,3]=>([(0,10),(0,11),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[9,8,6,5,2,1,12,11,10,7,4,3]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[11,7,6,5,2,1,12,10,9,8,4,3]=>([(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,7,6,5,2,1,12,11,9,8,4,3]=>([(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[9,7,6,5,2,1,12,11,10,8,4,3]=>([(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[8,7,6,5,2,1,12,11,10,9,4,3]=>([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[11,9,7,4,2,1,12,10,8,6,5,3]=>([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,9,7,4,2,1,12,11,8,6,5,3]=>([(0,10),(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[11,8,7,4,2,1,12,10,9,6,5,3]=>([(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,8,7,4,2,1,12,11,9,6,5,3]=>([(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[9,8,7,4,2,1,12,11,10,6,5,3]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[11,9,6,4,2,1,12,10,8,7,5,3]=>([(0,11),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,9,6,4,2,1,12,11,8,7,5,3]=>([(0,10),(0,11),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[11,8,6,4,2,1,12,10,9,7,5,3]=>([(0,11),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,8,6,4,2,1,12,11,9,7,5,3]=>([(0,10),(0,11),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[9,8,6,4,2,1,12,11,10,7,5,3]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[11,7,6,4,2,1,12,10,9,8,5,3]=>([(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,7,6,4,2,1,12,11,9,8,5,3]=>([(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[9,7,6,4,2,1,12,11,10,8,5,3]=>([(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[8,7,6,4,2,1,12,11,10,9,5,3]=>([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[11,9,5,4,2,1,12,10,8,7,6,3]=>([(0,11),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,9,5,4,2,1,12,11,8,7,6,3]=>([(0,10),(0,11),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[11,8,5,4,2,1,12,10,9,7,6,3]=>([(0,11),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,8,5,4,2,1,12,11,9,7,6,3]=>([(0,10),(0,11),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[9,8,5,4,2,1,12,11,10,7,6,3]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[11,7,5,4,2,1,12,10,9,8,6,3]=>([(0,11),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,7,5,4,2,1,12,11,9,8,6,3]=>([(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[9,7,5,4,2,1,12,11,10,8,6,3]=>([(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[8,7,5,4,2,1,12,11,10,9,6,3]=>([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[11,6,5,4,2,1,12,10,9,8,7,3]=>([(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,6,5,4,2,1,12,11,9,8,7,3]=>([(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[9,6,5,4,2,1,12,11,10,8,7,3]=>([(0,9),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[8,6,5,4,2,1,12,11,10,9,7,3]=>([(0,8),(0,9),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[7,6,5,4,2,1,12,11,10,9,8,3]=>([(0,7),(0,8),(0,9),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[11,9,7,3,2,1,12,10,8,6,5,4]=>([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,9,7,3,2,1,12,11,8,6,5,4]=>([(0,10),(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[11,8,7,3,2,1,12,10,9,6,5,4]=>([(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,8,7,3,2,1,12,11,9,6,5,4]=>([(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[9,8,7,3,2,1,12,11,10,6,5,4]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[11,9,6,3,2,1,12,10,8,7,5,4]=>([(0,11),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,9,6,3,2,1,12,11,8,7,5,4]=>([(0,10),(0,11),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[11,8,6,3,2,1,12,10,9,7,5,4]=>([(0,11),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,8,6,3,2,1,12,11,9,7,5,4]=>([(0,10),(0,11),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[9,8,6,3,2,1,12,11,10,7,5,4]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[11,7,6,3,2,1,12,10,9,8,5,4]=>([(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,7,6,3,2,1,12,11,9,8,5,4]=>([(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[9,7,6,3,2,1,12,11,10,8,5,4]=>([(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[8,7,6,3,2,1,12,11,10,9,5,4]=>([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[11,9,5,3,2,1,12,10,8,7,6,4]=>([(0,11),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,9,5,3,2,1,12,11,8,7,6,4]=>([(0,10),(0,11),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[11,8,5,3,2,1,12,10,9,7,6,4]=>([(0,11),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,8,5,3,2,1,12,11,9,7,6,4]=>([(0,10),(0,11),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[9,8,5,3,2,1,12,11,10,7,6,4]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[11,7,5,3,2,1,12,10,9,8,6,4]=>([(0,11),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,7,5,3,2,1,12,11,9,8,6,4]=>([(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[9,7,5,3,2,1,12,11,10,8,6,4]=>([(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[8,7,5,3,2,1,12,11,10,9,6,4]=>([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[11,6,5,3,2,1,12,10,9,8,7,4]=>([(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,6,5,3,2,1,12,11,9,8,7,4]=>([(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[9,6,5,3,2,1,12,11,10,8,7,4]=>([(0,9),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[8,6,5,3,2,1,12,11,10,9,7,4]=>([(0,8),(0,9),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[7,6,5,3,2,1,12,11,10,9,8,4]=>([(0,7),(0,8),(0,9),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[11,9,4,3,2,1,12,10,8,7,6,5]=>([(0,11),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,9,4,3,2,1,12,11,8,7,6,5]=>([(0,10),(0,11),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[11,8,4,3,2,1,12,10,9,7,6,5]=>([(0,11),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,8,4,3,2,1,12,11,9,7,6,5]=>([(0,10),(0,11),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[9,8,4,3,2,1,12,11,10,7,6,5]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[11,7,4,3,2,1,12,10,9,8,6,5]=>([(0,11),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,7,4,3,2,1,12,11,9,8,6,5]=>([(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[9,7,4,3,2,1,12,11,10,8,6,5]=>([(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[8,7,4,3,2,1,12,11,10,9,6,5]=>([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[11,6,4,3,2,1,12,10,9,8,7,5]=>([(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,6,4,3,2,1,12,11,9,8,7,5]=>([(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[9,6,4,3,2,1,12,11,10,8,7,5]=>([(0,9),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[8,6,4,3,2,1,12,11,10,9,7,5]=>([(0,8),(0,9),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[7,6,4,3,2,1,12,11,10,9,8,5]=>([(0,7),(0,8),(0,9),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[11,5,4,3,2,1,12,10,9,8,7,6]=>([(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,5,4,3,2,1,12,11,9,8,7,6]=>([(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[9,5,4,3,2,1,12,11,10,8,7,6]=>([(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[8,5,4,3,2,1,12,11,10,9,7,6]=>([(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[7,5,4,3,2,1,12,11,10,9,8,6]=>([(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[7,1,8,2,9,3,10,4,11,5,12,6]=>([(0,11),(1,3),(1,11),(3,5),(3,7),(4,6),(4,9),(5,4),(5,10),(6,2),(6,8),(7,10),(9,8),(10,9),(11,7)],12)
[9,10,11,12,7,8,5,6,3,4,1,2]=>([(0,9),(1,8),(2,7),(3,6),(4,11),(10,5),(11,10)],12)
[11,12,7,8,9,10,5,6,3,4,1,2]=>([(0,9),(1,8),(2,7),(3,6),(4,11),(10,5),(11,10)],12)
[7,10,11,8,9,12,5,6,3,4,1,2]=>([(0,8),(1,7),(2,6),(3,9),(3,10),(4,11),(5,11),(9,5),(10,4)],12)
[7,8,9,10,11,12,5,6,3,4,1,2]=>([(0,7),(1,6),(2,5),(3,11),(8,10),(9,4),(10,9),(11,8)],12)
[11,12,9,10,5,6,7,8,3,4,1,2]=>([(0,9),(1,8),(2,7),(3,6),(4,11),(10,5),(11,10)],12)
[9,10,11,12,5,6,7,8,3,4,1,2]=>([(0,11),(1,10),(2,7),(3,6),(8,4),(9,5),(10,8),(11,9)],12)
[11,12,5,8,9,6,7,10,3,4,1,2]=>([(0,8),(1,7),(2,6),(3,9),(3,10),(4,11),(5,11),(9,5),(10,4)],12)
[5,10,11,8,9,6,7,12,3,4,1,2]=>([(0,7),(1,6),(2,8),(2,9),(2,10),(3,11),(4,11),(5,11),(8,5),(9,4),(10,3)],12)
[5,8,9,10,11,6,7,12,3,4,1,2]=>([(0,6),(1,5),(2,9),(2,10),(3,11),(4,11),(7,8),(8,4),(9,3),(10,7)],12)
[11,12,5,6,7,8,9,10,3,4,1,2]=>([(0,7),(1,6),(2,5),(3,11),(8,10),(9,4),(10,9),(11,8)],12)
[5,10,11,6,7,8,9,12,3,4,1,2]=>([(0,6),(1,5),(2,9),(2,10),(3,11),(4,11),(7,8),(8,4),(9,3),(10,7)],12)
[5,6,9,10,7,8,11,12,3,4,1,2]=>([(0,7),(1,6),(2,10),(3,11),(4,11),(8,4),(9,3),(10,8),(10,9),(11,5)],12)
[5,6,7,8,9,10,11,12,3,4,1,2]=>([(0,11),(1,5),(2,4),(6,8),(7,6),(8,10),(9,7),(10,3),(11,9)],12)
[11,12,9,10,7,8,3,4,5,6,1,2]=>([(0,9),(1,8),(2,7),(3,6),(4,11),(10,5),(11,10)],12)
[9,10,11,12,7,8,3,4,5,6,1,2]=>([(0,11),(1,10),(2,7),(3,6),(8,4),(9,5),(10,8),(11,9)],12)
[11,12,7,8,9,10,3,4,5,6,1,2]=>([(0,11),(1,10),(2,7),(3,6),(8,4),(9,5),(10,8),(11,9)],12)
[7,10,11,8,9,12,3,4,5,6,1,2]=>([(0,10),(1,6),(2,8),(2,9),(4,11),(5,11),(7,3),(8,5),(9,4),(10,7)],12)
[7,8,9,10,11,12,3,4,5,6,1,2]=>([(0,10),(1,11),(2,5),(6,8),(7,6),(8,4),(9,3),(10,9),(11,7)],12)
[11,12,9,10,3,6,7,4,5,8,1,2]=>([(0,8),(1,7),(2,6),(3,9),(3,10),(4,11),(5,11),(9,5),(10,4)],12)
[9,10,11,12,3,6,7,4,5,8,1,2]=>([(0,10),(1,6),(2,8),(2,9),(4,11),(5,11),(7,3),(8,5),(9,4),(10,7)],12)
[11,12,3,8,9,6,7,4,5,10,1,2]=>([(0,7),(1,6),(2,8),(2,9),(2,10),(3,11),(4,11),(5,11),(8,5),(9,4),(10,3)],12)
[3,10,11,8,9,6,7,4,5,12,1,2]=>([(0,6),(1,7),(1,8),(1,9),(1,10),(2,11),(3,11),(4,11),(5,11),(7,5),(8,4),(9,3),(10,2)],12)
[3,8,9,10,11,6,7,4,5,12,1,2]=>([(0,5),(1,8),(1,9),(1,10),(2,11),(3,11),(4,11),(6,7),(7,4),(8,6),(9,3),(10,2)],12)
[11,12,3,6,7,8,9,4,5,10,1,2]=>([(0,6),(1,5),(2,9),(2,10),(3,11),(4,11),(7,8),(8,4),(9,3),(10,7)],12)
[3,10,11,6,7,8,9,4,5,12,1,2]=>([(0,5),(1,8),(1,9),(1,10),(2,11),(3,11),(4,11),(6,7),(7,4),(8,6),(9,3),(10,2)],12)
[3,6,9,10,7,8,11,4,5,12,1,2]=>([(0,5),(1,8),(1,9),(2,11),(3,10),(4,10),(6,4),(7,3),(8,2),(9,6),(9,7),(10,11)],12)
[3,6,7,8,9,10,11,4,5,12,1,2]=>([(0,4),(1,9),(1,10),(2,11),(3,11),(5,6),(6,8),(7,5),(8,3),(9,7),(10,2)],12)
[11,12,9,10,3,4,5,6,7,8,1,2]=>([(0,7),(1,6),(2,5),(3,11),(8,10),(9,4),(10,9),(11,8)],12)
[9,10,11,12,3,4,5,6,7,8,1,2]=>([(0,10),(1,11),(2,5),(6,8),(7,6),(8,4),(9,3),(10,9),(11,7)],12)
[11,12,3,8,9,4,5,6,7,10,1,2]=>([(0,6),(1,5),(2,9),(2,10),(3,11),(4,11),(7,8),(8,4),(9,3),(10,7)],12)
[3,10,11,8,9,4,5,6,7,12,1,2]=>([(0,5),(1,8),(1,9),(1,10),(2,11),(3,11),(4,11),(6,7),(7,4),(8,6),(9,3),(10,2)],12)
[3,8,9,10,11,4,5,6,7,12,1,2]=>([(0,4),(1,9),(1,10),(2,11),(3,11),(5,7),(6,8),(7,3),(8,2),(9,5),(10,6)],12)
[11,12,3,4,7,8,5,6,9,10,1,2]=>([(0,7),(1,6),(2,10),(3,11),(4,11),(8,4),(9,3),(10,8),(10,9),(11,5)],12)
[3,10,11,4,7,8,5,6,9,12,1,2]=>([(0,5),(1,8),(1,9),(2,11),(3,10),(4,10),(6,4),(7,3),(8,2),(9,6),(9,7),(10,11)],12)
[3,4,9,10,7,8,5,6,11,12,1,2]=>([(0,6),(1,10),(2,11),(3,11),(4,11),(7,4),(8,3),(9,2),(10,7),(10,8),(10,9),(11,5)],12)
[3,4,7,8,9,10,5,6,11,12,1,2]=>([(0,5),(1,10),(2,11),(3,11),(6,2),(7,8),(8,9),(9,3),(10,6),(10,7),(11,4)],12)
[11,12,3,4,5,6,7,8,9,10,1,2]=>([(0,11),(1,5),(2,4),(6,8),(7,6),(8,10),(9,7),(10,3),(11,9)],12)
[3,10,11,4,5,6,7,8,9,12,1,2]=>([(0,4),(1,9),(1,10),(2,11),(3,11),(5,6),(6,8),(7,5),(8,3),(9,7),(10,2)],12)
[3,4,9,10,5,6,7,8,11,12,1,2]=>([(0,5),(1,10),(2,11),(3,11),(6,2),(7,8),(8,9),(9,3),(10,6),(10,7),(11,4)],12)
[3,4,5,8,9,6,7,10,11,12,1,2]=>([(0,9),(1,5),(3,11),(4,11),(6,4),(7,3),(8,2),(9,10),(10,6),(10,7),(11,8)],12)
[3,4,5,6,7,8,9,10,11,12,1,2]=>([(0,11),(1,3),(4,6),(5,4),(6,8),(7,5),(8,10),(9,7),(10,2),(11,9)],12)
[11,12,9,10,7,8,5,6,1,2,3,4]=>([(0,9),(1,8),(2,7),(3,6),(4,11),(10,5),(11,10)],12)
[9,10,11,12,7,8,5,6,1,2,3,4]=>([(0,11),(1,10),(2,7),(3,6),(8,4),(9,5),(10,8),(11,9)],12)
[11,12,7,8,9,10,5,6,1,2,3,4]=>([(0,11),(1,10),(2,7),(3,6),(8,4),(9,5),(10,8),(11,9)],12)
[7,10,11,8,9,12,5,6,1,2,3,4]=>([(0,10),(1,6),(2,8),(2,9),(4,11),(5,11),(7,3),(8,5),(9,4),(10,7)],12)
[7,8,9,10,11,12,5,6,1,2,3,4]=>([(0,10),(1,11),(2,5),(6,8),(7,6),(8,4),(9,3),(10,9),(11,7)],12)
[11,12,9,10,5,6,7,8,1,2,3,4]=>([(0,11),(1,10),(2,7),(3,6),(8,4),(9,5),(10,8),(11,9)],12)
[9,10,11,12,5,6,7,8,1,2,3,4]=>([(0,11),(1,10),(2,9),(6,3),(7,4),(8,5),(9,6),(10,7),(11,8)],12)
[11,12,5,8,9,6,7,10,1,2,3,4]=>([(0,10),(1,6),(2,8),(2,9),(4,11),(5,11),(7,3),(8,5),(9,4),(10,7)],12)
[5,10,11,8,9,6,7,12,1,2,3,4]=>([(0,10),(1,7),(1,8),(1,9),(3,11),(4,11),(5,11),(6,2),(7,5),(8,4),(9,3),(10,6)],12)
[5,8,9,10,11,6,7,12,1,2,3,4]=>([(0,10),(1,8),(1,9),(3,11),(4,11),(5,7),(6,2),(7,4),(8,5),(9,3),(10,6)],12)
[11,12,5,6,7,8,9,10,1,2,3,4]=>([(0,10),(1,11),(2,5),(6,8),(7,6),(8,4),(9,3),(10,9),(11,7)],12)
[5,10,11,6,7,8,9,12,1,2,3,4]=>([(0,10),(1,8),(1,9),(3,11),(4,11),(5,7),(6,2),(7,4),(8,5),(9,3),(10,6)],12)
[5,6,9,10,7,8,11,12,1,2,3,4]=>([(0,9),(1,10),(3,11),(4,11),(6,2),(7,4),(8,3),(9,6),(10,7),(10,8),(11,5)],12)
[5,6,7,8,9,10,11,12,1,2,3,4]=>([(0,10),(1,11),(4,6),(5,4),(6,8),(7,5),(8,3),(9,2),(10,9),(11,7)],12)
[11,12,9,10,7,8,1,4,5,2,3,6]=>([(0,8),(1,7),(2,6),(3,9),(3,10),(4,11),(5,11),(9,5),(10,4)],12)
[9,10,11,12,7,8,1,4,5,2,3,6]=>([(0,10),(1,6),(2,8),(2,9),(4,11),(5,11),(7,3),(8,5),(9,4),(10,7)],12)
[11,12,7,8,9,10,1,4,5,2,3,6]=>([(0,10),(1,6),(2,8),(2,9),(4,11),(5,11),(7,3),(8,5),(9,4),(10,7)],12)
[7,10,11,8,9,12,1,4,5,2,3,6]=>([(0,8),(0,9),(1,6),(1,7),(2,10),(3,10),(4,11),(5,11),(6,3),(7,2),(8,5),(9,4)],12)
[7,8,9,10,11,12,1,4,5,2,3,6]=>([(0,10),(1,8),(1,9),(3,11),(4,11),(5,6),(6,2),(7,5),(8,4),(9,3),(10,7)],12)
[11,12,9,10,1,6,7,4,5,2,3,8]=>([(0,7),(1,6),(2,8),(2,9),(2,10),(3,11),(4,11),(5,11),(8,5),(9,4),(10,3)],12)
[9,10,11,12,1,6,7,4,5,2,3,8]=>([(0,10),(1,7),(1,8),(1,9),(3,11),(4,11),(5,11),(6,2),(7,5),(8,4),(9,3),(10,6)],12)
[11,12,1,8,9,6,7,4,5,2,3,10]=>([(0,6),(1,7),(1,8),(1,9),(1,10),(2,11),(3,11),(4,11),(5,11),(7,5),(8,4),(9,3),(10,2)],12)
[1,10,11,8,9,6,7,4,5,2,3,12]=>([(0,6),(0,7),(0,8),(0,9),(0,10),(1,11),(2,11),(3,11),(4,11),(5,11),(6,5),(7,4),(8,3),(9,2),(10,1)],12)
[1,8,9,10,11,6,7,4,5,2,3,12]=>([(0,7),(0,8),(0,9),(0,10),(1,11),(2,11),(3,11),(4,11),(5,6),(6,4),(7,5),(8,3),(9,2),(10,1)],12)
[11,12,1,6,7,8,9,4,5,2,3,10]=>([(0,5),(1,8),(1,9),(1,10),(2,11),(3,11),(4,11),(6,7),(7,4),(8,6),(9,3),(10,2)],12)
[1,10,11,6,7,8,9,4,5,2,3,12]=>([(0,7),(0,8),(0,9),(0,10),(1,11),(2,11),(3,11),(4,11),(5,6),(6,4),(7,5),(8,3),(9,2),(10,1)],12)
[1,6,9,10,7,8,11,4,5,2,3,12]=>([(0,7),(0,8),(0,9),(1,11),(2,11),(3,10),(4,10),(5,4),(6,3),(7,2),(8,1),(9,5),(9,6),(10,11)],12)
[1,6,7,8,9,10,11,4,5,2,3,12]=>([(0,8),(0,9),(0,10),(1,11),(2,11),(3,11),(4,6),(5,4),(6,7),(7,1),(8,5),(9,3),(10,2)],12)
[11,12,9,10,1,4,5,6,7,2,3,8]=>([(0,6),(1,5),(2,9),(2,10),(3,11),(4,11),(7,8),(8,4),(9,3),(10,7)],12)
[9,10,11,12,1,4,5,6,7,2,3,8]=>([(0,10),(1,8),(1,9),(3,11),(4,11),(5,7),(6,2),(7,4),(8,5),(9,3),(10,6)],12)
[11,12,1,8,9,4,5,6,7,2,3,10]=>([(0,5),(1,8),(1,9),(1,10),(2,11),(3,11),(4,11),(6,7),(7,4),(8,6),(9,3),(10,2)],12)
[1,10,11,8,9,4,5,6,7,2,3,12]=>([(0,7),(0,8),(0,9),(0,10),(1,11),(2,11),(3,11),(4,11),(5,6),(6,4),(7,5),(8,3),(9,2),(10,1)],12)
[1,8,9,10,11,4,5,6,7,2,3,12]=>([(0,8),(0,9),(0,10),(1,11),(2,11),(3,11),(4,6),(5,7),(6,3),(7,2),(8,4),(9,5),(10,1)],12)
[11,12,1,4,7,8,5,6,9,2,3,10]=>([(0,5),(1,8),(1,9),(2,11),(3,10),(4,10),(6,4),(7,3),(8,2),(9,6),(9,7),(10,11)],12)
[1,10,11,4,7,8,5,6,9,2,3,12]=>([(0,7),(0,8),(0,9),(1,11),(2,11),(3,10),(4,10),(5,4),(6,3),(7,2),(8,1),(9,5),(9,6),(10,11)],12)
[1,4,9,10,7,8,5,6,11,2,3,12]=>([(0,8),(0,9),(1,11),(2,11),(3,11),(4,10),(5,3),(6,2),(7,1),(8,4),(9,5),(9,6),(9,7),(11,10)],12)
[1,4,7,8,9,10,5,6,11,2,3,12]=>([(0,8),(0,9),(1,11),(2,10),(3,10),(4,6),(5,4),(6,3),(7,2),(8,1),(9,5),(9,7),(10,11)],12)
[11,12,1,4,5,6,7,8,9,2,3,10]=>([(0,4),(1,9),(1,10),(2,11),(3,11),(5,6),(6,8),(7,5),(8,3),(9,7),(10,2)],12)
[1,10,11,4,5,6,7,8,9,2,3,12]=>([(0,8),(0,9),(0,10),(1,11),(2,11),(3,11),(4,6),(5,4),(6,7),(7,1),(8,5),(9,3),(10,2)],12)
[1,4,9,10,5,6,7,8,11,2,3,12]=>([(0,8),(0,9),(1,11),(2,10),(3,10),(4,6),(5,4),(6,3),(7,2),(8,1),(9,5),(9,7),(10,11)],12)
[1,4,5,8,9,6,7,10,11,2,3,12]=>([(0,7),(0,8),(1,11),(2,11),(3,10),(4,10),(5,2),(6,1),(7,3),(8,9),(9,5),(9,6),(11,4)],12)
[1,4,5,6,7,8,9,10,11,2,3,12]=>([(0,9),(0,10),(1,11),(2,11),(3,4),(4,6),(5,3),(6,8),(7,5),(8,2),(9,7),(10,1)],12)
[11,12,9,10,7,8,1,2,3,4,5,6]=>([(0,7),(1,6),(2,5),(3,11),(8,10),(9,4),(10,9),(11,8)],12)
[9,10,11,12,7,8,1,2,3,4,5,6]=>([(0,10),(1,11),(2,5),(6,8),(7,6),(8,4),(9,3),(10,9),(11,7)],12)
[11,12,7,8,9,10,1,2,3,4,5,6]=>([(0,10),(1,11),(2,5),(6,8),(7,6),(8,4),(9,3),(10,9),(11,7)],12)
[7,10,11,8,9,12,1,2,3,4,5,6]=>([(0,10),(1,8),(1,9),(3,11),(4,11),(5,6),(6,2),(7,5),(8,4),(9,3),(10,7)],12)
[11,12,9,10,1,6,7,2,3,4,5,8]=>([(0,6),(1,5),(2,9),(2,10),(3,11),(4,11),(7,8),(8,4),(9,3),(10,7)],12)
[9,10,11,12,1,6,7,2,3,4,5,8]=>([(0,10),(1,8),(1,9),(3,11),(4,11),(5,7),(6,2),(7,4),(8,5),(9,3),(10,6)],12)
[11,12,1,8,9,6,7,2,3,4,5,10]=>([(0,5),(1,8),(1,9),(1,10),(2,11),(3,11),(4,11),(6,7),(7,4),(8,6),(9,3),(10,2)],12)
[1,10,11,8,9,6,7,2,3,4,5,12]=>([(0,7),(0,8),(0,9),(0,10),(1,11),(2,11),(3,11),(4,11),(5,6),(6,4),(7,5),(8,3),(9,2),(10,1)],12)
[1,8,9,10,11,6,7,2,3,4,5,12]=>([(0,8),(0,9),(0,10),(1,11),(2,11),(3,11),(4,6),(5,7),(6,3),(7,2),(8,4),(9,5),(10,1)],12)
[11,12,1,6,7,8,9,2,3,4,5,10]=>([(0,4),(1,9),(1,10),(2,11),(3,11),(5,7),(6,8),(7,3),(8,2),(9,5),(10,6)],12)
[1,10,11,6,7,8,9,2,3,4,5,12]=>([(0,8),(0,9),(0,10),(1,11),(2,11),(3,11),(4,6),(5,7),(6,3),(7,2),(8,4),(9,5),(10,1)],12)
[1,6,9,10,7,8,11,2,3,4,5,12]=>([(0,8),(0,9),(1,11),(2,10),(3,10),(4,1),(5,4),(6,3),(7,2),(8,5),(9,6),(9,7),(10,11)],12)
[1,6,7,8,9,10,11,2,3,4,5,12]=>([(0,9),(0,10),(1,11),(2,11),(3,4),(4,8),(5,3),(6,7),(7,1),(8,2),(9,6),(10,5)],12)
[11,12,9,10,1,2,5,6,3,4,7,8]=>([(0,7),(1,6),(2,10),(3,11),(4,11),(8,4),(9,3),(10,8),(10,9),(11,5)],12)
[9,10,11,12,1,2,5,6,3,4,7,8]=>([(0,9),(1,10),(3,11),(4,11),(6,2),(7,4),(8,3),(9,6),(10,7),(10,8),(11,5)],12)
[11,12,1,8,9,2,5,6,3,4,7,10]=>([(0,5),(1,8),(1,9),(2,11),(3,10),(4,10),(6,4),(7,3),(8,2),(9,6),(9,7),(10,11)],12)
[1,10,11,8,9,2,5,6,3,4,7,12]=>([(0,7),(0,8),(0,9),(1,11),(2,11),(3,10),(4,10),(5,4),(6,3),(7,2),(8,1),(9,5),(9,6),(10,11)],12)
[1,8,9,10,11,2,5,6,3,4,7,12]=>([(0,8),(0,9),(1,11),(2,10),(3,10),(4,1),(5,4),(6,3),(7,2),(8,5),(9,6),(9,7),(10,11)],12)
[11,12,1,2,7,8,5,6,3,4,9,10]=>([(0,6),(1,10),(2,11),(3,11),(4,11),(7,4),(8,3),(9,2),(10,7),(10,8),(10,9),(11,5)],12)
[1,10,11,2,7,8,5,6,3,4,9,12]=>([(0,8),(0,9),(1,11),(2,11),(3,11),(4,10),(5,3),(6,2),(7,1),(8,4),(9,5),(9,6),(9,7),(11,10)],12)
[1,2,9,10,7,8,5,6,3,4,11,12]=>([(0,10),(1,11),(2,11),(3,11),(4,11),(6,4),(7,3),(8,2),(9,1),(10,6),(10,7),(10,8),(10,9),(11,5)],12)
[1,2,7,8,9,10,5,6,3,4,11,12]=>([(0,10),(1,11),(2,11),(3,11),(5,7),(6,5),(7,3),(8,2),(9,1),(10,6),(10,8),(10,9),(11,4)],12)
[11,12,1,2,5,6,7,8,3,4,9,10]=>([(0,5),(1,10),(2,11),(3,11),(6,2),(7,8),(8,9),(9,3),(10,6),(10,7),(11,4)],12)
[1,10,11,2,5,6,7,8,3,4,9,12]=>([(0,8),(0,9),(1,11),(2,10),(3,10),(4,6),(5,4),(6,3),(7,2),(8,1),(9,5),(9,7),(10,11)],12)
[1,2,9,10,5,6,7,8,3,4,11,12]=>([(0,10),(1,11),(2,11),(3,11),(5,7),(6,5),(7,3),(8,2),(9,1),(10,6),(10,8),(10,9),(11,4)],12)
[1,2,5,8,9,6,7,10,3,4,11,12]=>([(0,9),(2,11),(3,10),(4,10),(5,2),(6,4),(7,3),(8,6),(8,7),(9,5),(9,8),(10,11),(11,1)],12)
[1,2,5,6,7,8,9,10,3,4,11,12]=>([(0,10),(1,11),(2,11),(4,6),(5,4),(6,8),(7,5),(8,2),(9,1),(10,7),(10,9),(11,3)],12)
[11,12,9,10,1,2,3,4,5,6,7,8]=>([(0,11),(1,5),(2,4),(6,8),(7,6),(8,10),(9,7),(10,3),(11,9)],12)
[9,10,11,12,1,2,3,4,5,6,7,8]=>([(0,10),(1,11),(4,6),(5,4),(6,8),(7,5),(8,3),(9,2),(10,9),(11,7)],12)
[11,12,1,8,9,2,3,4,5,6,7,10]=>([(0,4),(1,9),(1,10),(2,11),(3,11),(5,6),(6,8),(7,5),(8,3),(9,7),(10,2)],12)
[1,10,11,8,9,2,3,4,5,6,7,12]=>([(0,8),(0,9),(0,10),(1,11),(2,11),(3,11),(4,6),(5,4),(6,7),(7,1),(8,5),(9,3),(10,2)],12)
[1,8,9,10,11,2,3,4,5,6,7,12]=>([(0,9),(0,10),(1,11),(2,11),(3,4),(4,8),(5,3),(6,7),(7,1),(8,2),(9,6),(10,5)],12)
[11,12,1,2,7,8,3,4,5,6,9,10]=>([(0,5),(1,10),(2,11),(3,11),(6,2),(7,8),(8,9),(9,3),(10,6),(10,7),(11,4)],12)
[1,10,11,2,7,8,3,4,5,6,9,12]=>([(0,8),(0,9),(1,11),(2,10),(3,10),(4,6),(5,4),(6,3),(7,2),(8,1),(9,5),(9,7),(10,11)],12)
[1,2,9,10,7,8,3,4,5,6,11,12]=>([(0,10),(1,11),(2,11),(3,11),(5,7),(6,5),(7,3),(8,2),(9,1),(10,6),(10,8),(10,9),(11,4)],12)
[1,2,7,8,9,10,3,4,5,6,11,12]=>([(0,10),(1,11),(2,11),(4,8),(5,9),(6,4),(7,5),(8,2),(9,1),(10,6),(10,7),(11,3)],12)
[11,12,1,2,3,6,7,4,5,8,9,10]=>([(0,9),(1,5),(3,11),(4,11),(6,4),(7,3),(8,2),(9,10),(10,6),(10,7),(11,8)],12)
[1,10,11,2,3,6,7,4,5,8,9,12]=>([(0,7),(0,8),(1,11),(2,11),(3,10),(4,10),(5,2),(6,1),(7,3),(8,9),(9,5),(9,6),(11,4)],12)
[1,2,9,10,3,6,7,4,5,8,11,12]=>([(0,9),(2,11),(3,10),(4,10),(5,2),(6,4),(7,3),(8,6),(8,7),(9,5),(9,8),(10,11),(11,1)],12)
[1,2,3,8,9,6,7,4,5,10,11,12]=>([(0,9),(2,11),(3,11),(4,11),(5,4),(6,3),(7,2),(8,1),(9,10),(10,5),(10,6),(10,7),(11,8)],12)
[1,2,3,6,7,8,9,4,5,10,11,12]=>([(0,9),(2,11),(3,11),(4,6),(5,4),(6,3),(7,2),(8,1),(9,10),(10,5),(10,7),(11,8)],12)
[11,12,1,2,3,4,5,6,7,8,9,10]=>([(0,11),(1,3),(4,6),(5,4),(6,8),(7,5),(8,10),(9,7),(10,2),(11,9)],12)
[1,10,11,2,3,4,5,6,7,8,9,12]=>([(0,9),(0,10),(1,11),(2,11),(3,4),(4,6),(5,3),(6,8),(7,5),(8,2),(9,7),(10,1)],12)
[1,2,9,10,3,4,5,6,7,8,11,12]=>([(0,10),(1,11),(2,11),(4,6),(5,4),(6,8),(7,5),(8,2),(9,1),(10,7),(10,9),(11,3)],12)
[1,2,3,8,9,4,5,6,7,10,11,12]=>([(0,9),(2,11),(3,11),(4,6),(5,4),(6,3),(7,2),(8,1),(9,10),(10,5),(10,7),(11,8)],12)
[1,2,3,4,7,8,5,6,9,10,11,12]=>([(0,9),(2,11),(3,11),(4,1),(5,10),(6,3),(7,2),(8,4),(9,5),(10,6),(10,7),(11,8)],12)
[1,2,3,4,5,6,7,8,9,10,11,12]=>([(0,11),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,10),(9,7),(10,1),(11,9)],12)
[11,1,12,10,9,8,7,6,5,4,3,2]=>([(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11)],12)
[2,12,11,10,9,8,7,6,5,4,1,3]=>([(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11)],12)
[11,1,2,3,4,5,6,7,8,9,12,10]=>([(0,11),(1,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,10),(9,7),(10,2),(10,11)],12)
[2,12,1,3,4,5,6,7,8,9,10,11]=>([(0,11),(1,3),(1,11),(4,5),(5,7),(6,4),(7,9),(8,6),(9,2),(10,8),(11,10)],12)
[11,12,9,10,7,8,5,6,2,1,3,4]=>([(0,11),(1,11),(2,9),(3,8),(4,7),(5,6),(11,10)],12)
[11,12,9,10,7,8,4,3,5,6,1,2]=>([(0,11),(1,11),(2,9),(3,8),(4,7),(5,6),(11,10)],12)
[11,12,9,10,7,8,4,2,5,1,3,6]=>([(0,10),(1,9),(2,9),(2,10),(3,8),(4,7),(5,6),(9,11),(10,11)],12)
[11,12,9,10,7,8,3,2,1,4,5,6]=>([(0,11),(1,11),(2,11),(3,8),(4,7),(5,6),(9,10),(11,9)],12)
[11,12,9,10,6,5,7,8,3,4,1,2]=>([(0,11),(1,11),(2,9),(3,8),(4,7),(5,6),(11,10)],12)
[11,12,9,10,6,5,7,8,2,1,3,4]=>([(0,10),(1,10),(2,11),(3,11),(4,7),(5,6),(10,9),(11,8)],12)
[11,12,9,10,6,4,7,3,5,8,1,2]=>([(0,10),(1,9),(2,9),(2,10),(3,8),(4,7),(5,6),(9,11),(10,11)],12)
[11,12,9,10,6,4,7,2,5,1,3,8]=>([(0,9),(1,8),(2,8),(2,10),(3,9),(3,10),(4,7),(5,6),(8,11),(9,11),(10,11)],12)
[11,12,9,10,6,3,7,2,1,4,5,8]=>([(0,11),(1,11),(2,9),(3,9),(3,11),(4,7),(5,6),(8,10),(9,10),(11,8)],12)
[11,12,9,10,5,4,3,6,7,8,1,2]=>([(0,11),(1,11),(2,11),(3,8),(4,7),(5,6),(9,10),(11,9)],12)
[11,12,9,10,5,4,2,6,7,1,3,8]=>([(0,11),(1,11),(2,9),(3,9),(3,11),(4,7),(5,6),(8,10),(9,10),(11,8)],12)
[11,12,9,10,5,3,2,6,1,4,7,8]=>([(0,11),(1,10),(2,10),(2,11),(3,10),(3,11),(4,7),(5,6),(9,8),(10,9),(11,9)],12)
[11,12,9,10,4,3,2,1,5,6,7,8]=>([(0,11),(1,11),(2,11),(3,11),(4,7),(5,6),(8,9),(9,10),(11,8)],12)
[11,12,8,7,9,10,5,6,3,4,1,2]=>([(0,11),(1,11),(2,9),(3,8),(4,7),(5,6),(11,10)],12)
[11,12,8,7,9,10,5,6,2,1,3,4]=>([(0,10),(1,10),(2,11),(3,11),(4,7),(5,6),(10,9),(11,8)],12)
[11,12,8,7,9,10,4,3,5,6,1,2]=>([(0,10),(1,10),(2,11),(3,11),(4,7),(5,6),(10,9),(11,8)],12)
[11,12,8,7,9,10,4,2,5,1,3,6]=>([(0,11),(1,11),(2,9),(3,8),(4,8),(4,9),(5,7),(8,10),(9,10),(11,6)],12)
[11,12,8,7,9,10,3,2,1,4,5,6]=>([(0,11),(1,11),(2,11),(3,10),(4,10),(5,6),(7,9),(10,8),(11,7)],12)
[11,12,8,6,9,5,7,10,3,4,1,2]=>([(0,10),(1,9),(2,9),(2,10),(3,8),(4,7),(5,6),(9,11),(10,11)],12)
[11,12,8,6,9,5,7,10,2,1,3,4]=>([(0,11),(1,11),(2,9),(3,8),(4,8),(4,9),(5,7),(8,10),(9,10),(11,6)],12)
[11,12,8,6,9,4,7,3,5,10,1,2]=>([(0,9),(1,8),(2,8),(2,10),(3,9),(3,10),(4,7),(5,6),(8,11),(9,11),(10,11)],12)
[11,12,8,6,9,4,7,2,5,1,3,10]=>([(0,10),(1,9),(2,7),(2,8),(3,7),(3,9),(4,8),(4,10),(5,6),(7,11),(8,11),(9,11),(10,11)],12)
[11,12,8,6,9,3,7,2,1,4,5,10]=>([(0,10),(1,10),(2,9),(3,8),(3,10),(4,8),(4,9),(5,6),(7,11),(8,11),(9,11),(10,7)],12)
[11,12,8,5,9,4,3,6,7,10,1,2]=>([(0,11),(1,11),(2,9),(3,9),(3,11),(4,7),(5,6),(8,10),(9,10),(11,8)],12)
[11,12,8,5,9,4,2,6,7,1,3,10]=>([(0,10),(1,9),(2,8),(3,8),(3,10),(4,9),(4,10),(5,6),(7,11),(8,11),(9,11),(10,7)],12)
[11,12,8,5,9,3,2,6,1,4,7,10]=>([(0,11),(1,10),(1,11),(2,10),(2,11),(3,7),(4,7),(4,10),(5,6),(7,9),(8,9),(10,8),(11,8)],12)
[11,12,8,4,9,3,2,1,5,6,7,10]=>([(0,11),(1,11),(2,11),(3,9),(4,9),(4,11),(5,6),(7,8),(8,10),(9,10),(11,7)],12)
[11,12,7,6,5,8,9,10,3,4,1,2]=>([(0,11),(1,11),(2,11),(3,8),(4,7),(5,6),(9,10),(11,9)],12)
[11,12,7,6,5,8,9,10,2,1,3,4]=>([(0,11),(1,11),(2,11),(3,10),(4,10),(5,6),(7,9),(10,8),(11,7)],12)
[11,12,7,6,4,8,9,3,5,10,1,2]=>([(0,11),(1,11),(2,9),(3,9),(3,11),(4,7),(5,6),(8,10),(9,10),(11,8)],12)
[11,12,7,6,4,8,9,2,5,1,3,10]=>([(0,10),(1,10),(2,9),(3,8),(3,10),(4,8),(4,9),(5,6),(7,11),(8,11),(9,11),(10,7)],12)
[11,12,7,6,3,8,9,2,1,4,5,10]=>([(0,10),(1,10),(2,11),(3,11),(4,10),(4,11),(5,6),(7,9),(8,9),(10,8),(11,7)],12)
[11,12,7,5,4,8,3,6,9,10,1,2]=>([(0,11),(1,10),(2,10),(2,11),(3,10),(3,11),(4,7),(5,6),(9,8),(10,9),(11,9)],12)
[11,12,7,5,4,8,2,6,9,1,3,10]=>([(0,11),(1,10),(1,11),(2,10),(2,11),(3,7),(4,7),(4,10),(5,6),(7,9),(8,9),(10,8),(11,8)],12)
[11,12,7,5,3,8,2,6,1,4,9,10]=>([(0,9),(1,8),(2,8),(2,10),(3,9),(3,10),(4,8),(4,9),(4,10),(5,7),(8,11),(9,11),(10,11),(11,6)],12)
[11,12,7,4,3,8,2,1,5,6,9,10]=>([(0,11),(1,11),(2,10),(3,10),(3,11),(4,10),(4,11),(5,6),(7,9),(9,8),(10,9),(11,7)],12)
[11,12,6,5,4,3,7,8,9,10,1,2]=>([(0,11),(1,11),(2,11),(3,11),(4,7),(5,6),(8,9),(9,10),(11,8)],12)
[11,12,6,5,4,2,7,8,9,1,3,10]=>([(0,11),(1,11),(2,11),(3,9),(4,9),(4,11),(5,6),(7,8),(8,10),(9,10),(11,7)],12)
[11,12,6,5,3,2,7,8,1,4,9,10]=>([(0,11),(1,11),(2,10),(3,10),(3,11),(4,10),(4,11),(5,6),(7,9),(9,8),(10,9),(11,7)],12)
[11,12,6,4,3,2,7,1,5,8,9,10]=>([(0,11),(1,10),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,6),(7,8),(9,7),(10,9),(11,9)],12)
[11,12,5,4,3,2,1,6,7,8,9,10]=>([(0,6),(1,11),(2,11),(3,11),(4,11),(5,11),(7,10),(9,8),(10,9),(11,7)],12)
[10,9,11,12,7,8,5,6,3,4,1,2]=>([(0,11),(1,11),(2,9),(3,8),(4,7),(5,6),(11,10)],12)
[10,9,11,12,7,8,5,6,2,1,3,4]=>([(0,10),(1,10),(2,11),(3,11),(4,7),(5,6),(10,9),(11,8)],12)
[10,9,11,12,7,8,4,3,5,6,1,2]=>([(0,10),(1,10),(2,11),(3,11),(4,7),(5,6),(10,9),(11,8)],12)
[10,9,11,12,7,8,4,2,5,1,3,6]=>([(0,11),(1,11),(2,9),(3,8),(4,8),(4,9),(5,7),(8,10),(9,10),(11,6)],12)
[10,9,11,12,7,8,3,2,1,4,5,6]=>([(0,11),(1,11),(2,11),(3,10),(4,10),(5,6),(7,9),(10,8),(11,7)],12)
[10,9,11,12,6,5,7,8,3,4,1,2]=>([(0,10),(1,10),(2,11),(3,11),(4,7),(5,6),(10,9),(11,8)],12)
[10,9,11,12,6,5,7,8,2,1,3,4]=>([(0,9),(1,9),(2,10),(3,10),(4,11),(5,11),(9,8),(10,7),(11,6)],12)
[10,9,11,12,6,4,7,3,5,8,1,2]=>([(0,11),(1,11),(2,9),(3,8),(4,8),(4,9),(5,7),(8,10),(9,10),(11,6)],12)
[10,9,11,12,6,4,7,2,5,1,3,8]=>([(0,10),(1,10),(2,9),(3,8),(4,7),(4,8),(5,7),(5,9),(7,11),(8,11),(9,11),(10,6)],12)
[10,9,11,12,6,3,7,2,1,4,5,8]=>([(0,9),(1,9),(2,11),(3,11),(4,8),(5,8),(5,11),(7,10),(8,10),(9,6),(11,7)],12)
[10,9,11,12,5,4,3,6,7,8,1,2]=>([(0,11),(1,11),(2,11),(3,10),(4,10),(5,6),(7,9),(10,8),(11,7)],12)
[10,9,11,12,5,4,2,6,7,1,3,8]=>([(0,9),(1,9),(2,11),(3,11),(4,8),(5,8),(5,11),(7,10),(8,10),(9,6),(11,7)],12)
[10,9,11,12,5,3,2,6,1,4,7,8]=>([(0,11),(1,10),(2,10),(2,11),(3,10),(3,11),(4,8),(5,8),(8,6),(9,7),(10,9),(11,9)],12)
[10,9,11,12,4,3,2,1,5,6,7,8]=>([(0,11),(1,11),(2,11),(3,11),(4,10),(5,10),(6,8),(8,9),(10,7),(11,6)],12)
[10,8,11,7,9,12,5,6,3,4,1,2]=>([(0,10),(1,9),(2,9),(2,10),(3,8),(4,7),(5,6),(9,11),(10,11)],12)
[10,8,11,7,9,12,5,6,2,1,3,4]=>([(0,11),(1,11),(2,9),(3,8),(4,8),(4,9),(5,7),(8,10),(9,10),(11,6)],12)
[10,8,11,7,9,12,4,3,5,6,1,2]=>([(0,11),(1,11),(2,9),(3,8),(4,8),(4,9),(5,7),(8,10),(9,10),(11,6)],12)
[10,8,11,7,9,12,4,2,5,1,3,6]=>([(0,7),(1,6),(2,9),(3,8),(4,8),(4,9),(5,6),(5,7),(6,10),(7,10),(8,11),(9,11)],12)
[10,8,11,7,9,12,3,2,1,4,5,6]=>([(0,11),(1,11),(2,11),(3,9),(4,8),(5,8),(5,9),(6,7),(8,10),(9,10),(11,6)],12)
[10,8,11,6,9,5,7,12,3,4,1,2]=>([(0,9),(1,8),(2,8),(2,10),(3,9),(3,10),(4,7),(5,6),(8,11),(9,11),(10,11)],12)
[10,8,11,6,9,5,7,12,2,1,3,4]=>([(0,10),(1,10),(2,9),(3,8),(4,7),(4,8),(5,7),(5,9),(7,11),(8,11),(9,11),(10,6)],12)
[10,8,11,6,9,4,7,3,5,12,1,2]=>([(0,10),(1,9),(2,7),(2,8),(3,7),(3,9),(4,8),(4,10),(5,6),(7,11),(8,11),(9,11),(10,11)],12)
[10,8,11,6,9,4,7,2,5,1,3,12]=>([(0,10),(1,9),(2,6),(2,7),(3,6),(3,8),(4,7),(4,9),(5,8),(5,10),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[10,8,11,6,9,3,7,2,1,4,5,12]=>([(0,10),(1,10),(2,9),(3,7),(3,10),(4,7),(4,8),(5,8),(5,9),(6,11),(7,11),(8,11),(9,11),(10,6)],12)
[10,8,11,5,9,4,3,6,7,12,1,2]=>([(0,10),(1,10),(2,9),(3,8),(3,10),(4,8),(4,9),(5,6),(7,11),(8,11),(9,11),(10,7)],12)
[10,8,11,5,9,4,2,6,7,1,3,12]=>([(0,10),(1,8),(2,7),(3,9),(3,10),(4,7),(4,10),(5,8),(5,9),(6,11),(7,11),(8,11),(9,11),(10,6)],12)
[10,8,11,5,9,3,2,6,1,4,7,12]=>([(0,10),(1,9),(1,10),(2,9),(2,10),(3,7),(4,6),(4,9),(5,6),(5,7),(6,11),(7,11),(8,11),(9,8),(10,8)],12)
[10,8,11,4,9,3,2,1,5,6,7,12]=>([(0,11),(1,11),(2,11),(3,9),(4,8),(4,11),(5,8),(5,9),(6,7),(7,10),(8,10),(9,10),(11,6)],12)
[10,7,11,6,5,8,9,12,3,4,1,2]=>([(0,11),(1,11),(2,9),(3,9),(3,11),(4,7),(5,6),(8,10),(9,10),(11,8)],12)
[10,7,11,6,5,8,9,12,2,1,3,4]=>([(0,9),(1,9),(2,11),(3,11),(4,8),(5,8),(5,11),(7,10),(8,10),(9,6),(11,7)],12)
[10,7,11,6,4,8,9,3,5,12,1,2]=>([(0,10),(1,9),(2,8),(3,8),(3,10),(4,9),(4,10),(5,6),(7,11),(8,11),(9,11),(10,7)],12)
[10,7,11,6,4,8,9,2,5,1,3,12]=>([(0,10),(1,8),(2,7),(3,9),(3,10),(4,7),(4,10),(5,8),(5,9),(6,11),(7,11),(8,11),(9,11),(10,6)],12)
[10,7,11,6,3,8,9,2,1,4,5,12]=>([(0,9),(1,9),(2,10),(3,9),(3,10),(4,8),(5,8),(5,10),(6,11),(7,11),(8,11),(9,6),(10,7)],12)
[10,7,11,5,4,8,3,6,9,12,1,2]=>([(0,11),(1,10),(1,11),(2,10),(2,11),(3,7),(4,7),(4,10),(5,6),(7,9),(8,9),(10,8),(11,8)],12)
[10,7,11,5,4,8,2,6,9,1,3,12]=>([(0,9),(0,10),(1,9),(1,10),(2,7),(3,6),(4,6),(4,9),(5,7),(5,10),(6,11),(7,11),(8,11),(9,8),(10,8)],12)
[10,7,11,5,3,8,2,6,1,4,9,12]=>([(0,10),(1,8),(1,9),(2,8),(2,10),(3,8),(3,9),(3,10),(4,6),(5,6),(5,9),(6,7),(8,11),(9,11),(10,11),(11,7)],12)
[10,7,11,4,3,8,2,1,5,6,9,12]=>([(0,11),(1,11),(2,10),(2,11),(3,10),(3,11),(4,7),(5,7),(5,10),(6,9),(7,8),(9,8),(10,9),(11,6)],12)
[10,6,11,5,4,3,7,8,9,12,1,2]=>([(0,11),(1,11),(2,11),(3,9),(4,9),(4,11),(5,6),(7,8),(8,10),(9,10),(11,7)],12)
[10,6,11,5,4,2,7,8,9,1,3,12]=>([(0,11),(1,11),(2,9),(3,8),(4,8),(4,11),(5,9),(5,11),(6,7),(7,10),(8,10),(9,10),(11,6)],12)
[10,6,11,5,3,2,7,8,1,4,9,12]=>([(0,11),(1,10),(2,10),(2,11),(3,10),(3,11),(4,7),(5,7),(5,11),(6,9),(7,8),(9,8),(10,9),(11,6)],12)
[10,6,11,4,3,2,7,1,5,8,9,12]=>([(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,7),(5,7),(5,10),(6,9),(7,9),(8,6),(10,8),(11,8)],12)
[10,5,11,4,3,2,1,6,7,8,9,12]=>([(0,11),(1,11),(2,11),(3,11),(4,9),(5,9),(5,11),(6,8),(7,10),(8,7),(9,10),(11,6)],12)
[9,8,7,10,11,12,5,6,3,4,1,2]=>([(0,11),(1,11),(2,11),(3,8),(4,7),(5,6),(9,10),(11,9)],12)
[9,8,7,10,11,12,5,6,2,1,3,4]=>([(0,11),(1,11),(2,11),(3,10),(4,10),(5,6),(7,9),(10,8),(11,7)],12)
[9,8,7,10,11,12,4,3,5,6,1,2]=>([(0,11),(1,11),(2,11),(3,10),(4,10),(5,6),(7,9),(10,8),(11,7)],12)
[9,8,7,10,11,12,4,2,5,1,3,6]=>([(0,11),(1,11),(2,11),(3,9),(4,8),(5,8),(5,9),(6,7),(8,10),(9,10),(11,6)],12)
[9,8,7,10,11,12,3,2,1,4,5,6]=>([(0,10),(1,10),(2,10),(3,11),(4,11),(5,11),(6,9),(7,8),(10,7),(11,6)],12)
[9,8,6,10,11,5,7,12,3,4,1,2]=>([(0,11),(1,11),(2,9),(3,9),(3,11),(4,7),(5,6),(8,10),(9,10),(11,8)],12)
[9,8,6,10,11,5,7,12,2,1,3,4]=>([(0,9),(1,9),(2,11),(3,11),(4,8),(5,8),(5,11),(7,10),(8,10),(9,6),(11,7)],12)
[9,8,6,10,11,4,7,3,5,12,1,2]=>([(0,10),(1,10),(2,9),(3,8),(3,10),(4,8),(4,9),(5,6),(7,11),(8,11),(9,11),(10,7)],12)
[9,8,6,10,11,4,7,2,5,1,3,12]=>([(0,10),(1,10),(2,9),(3,7),(3,10),(4,7),(4,8),(5,8),(5,9),(6,11),(7,11),(8,11),(9,11),(10,6)],12)
[9,8,6,10,11,3,7,2,1,4,5,12]=>([(0,9),(1,9),(2,10),(3,10),(4,8),(4,10),(5,8),(5,9),(6,11),(7,11),(8,11),(9,6),(10,7)],12)
[9,8,5,10,11,4,3,6,7,12,1,2]=>([(0,10),(1,10),(2,11),(3,11),(4,10),(4,11),(5,6),(7,9),(8,9),(10,8),(11,7)],12)
[9,8,5,10,11,4,2,6,7,1,3,12]=>([(0,9),(1,9),(2,10),(3,9),(3,10),(4,8),(5,8),(5,10),(6,11),(7,11),(8,11),(9,6),(10,7)],12)
[9,8,5,10,11,3,2,6,1,4,7,12]=>([(0,11),(1,11),(2,10),(3,9),(3,11),(4,9),(4,10),(5,9),(5,10),(6,8),(7,8),(9,7),(10,7),(11,6)],12)
[9,8,4,10,11,3,2,1,5,6,7,12]=>([(0,11),(1,11),(2,11),(3,10),(4,10),(5,10),(5,11),(6,8),(7,9),(8,9),(10,7),(11,6)],12)
[9,7,6,10,5,8,11,12,3,4,1,2]=>([(0,11),(1,10),(2,10),(2,11),(3,10),(3,11),(4,7),(5,6),(9,8),(10,9),(11,9)],12)
[9,7,6,10,5,8,11,12,2,1,3,4]=>([(0,11),(1,10),(2,10),(2,11),(3,10),(3,11),(4,8),(5,8),(8,6),(9,7),(10,9),(11,9)],12)
[9,7,6,10,4,8,11,3,5,12,1,2]=>([(0,11),(1,10),(1,11),(2,10),(2,11),(3,7),(4,7),(4,10),(5,6),(7,9),(8,9),(10,8),(11,8)],12)
[9,7,6,10,4,8,11,2,5,1,3,12]=>([(0,10),(1,9),(1,10),(2,9),(2,10),(3,7),(4,6),(4,9),(5,6),(5,7),(6,11),(7,11),(8,11),(9,8),(10,8)],12)
[9,7,6,10,3,8,11,2,1,4,5,12]=>([(0,11),(1,11),(2,10),(3,9),(3,11),(4,9),(4,10),(5,9),(5,10),(6,8),(7,8),(9,7),(10,7),(11,6)],12)
[9,7,5,10,4,8,3,6,11,12,1,2]=>([(0,9),(1,8),(2,8),(2,10),(3,9),(3,10),(4,8),(4,9),(4,10),(5,7),(8,11),(9,11),(10,11),(11,6)],12)
[9,7,5,10,4,8,2,6,11,1,3,12]=>([(0,10),(1,8),(1,9),(2,8),(2,10),(3,8),(3,9),(3,10),(4,6),(5,6),(5,9),(6,7),(8,11),(9,11),(10,11),(11,7)],12)
[9,7,5,10,3,8,2,6,1,4,11,12]=>([(0,8),(1,7),(2,7),(2,9),(3,8),(3,10),(4,7),(4,9),(4,10),(5,8),(5,9),(5,10),(7,11),(8,11),(9,11),(10,11),(11,6)],12)
[9,7,4,10,3,8,2,1,5,6,11,12]=>([(0,11),(1,11),(2,9),(3,8),(3,11),(4,8),(4,9),(5,8),(5,9),(5,11),(7,10),(8,10),(9,10),(10,6),(11,7)],12)
[9,6,5,10,4,3,7,8,11,12,1,2]=>([(0,11),(1,11),(2,10),(3,10),(3,11),(4,10),(4,11),(5,6),(7,9),(9,8),(10,9),(11,7)],12)
[9,6,5,10,4,2,7,8,11,1,3,12]=>([(0,11),(1,10),(2,10),(2,11),(3,10),(3,11),(4,7),(5,7),(5,11),(6,9),(7,8),(9,8),(10,9),(11,6)],12)
[9,6,5,10,3,2,7,8,1,4,11,12]=>([(0,9),(1,8),(2,8),(2,11),(3,8),(3,11),(4,9),(4,11),(5,9),(5,11),(7,10),(8,10),(9,10),(10,6),(11,7)],12)
[9,6,4,10,3,2,7,1,5,8,11,12]=>([(0,11),(1,10),(1,11),(2,10),(2,11),(3,9),(4,9),(4,10),(5,9),(5,10),(5,11),(7,8),(8,6),(9,8),(10,7),(11,7)],12)
[9,5,4,10,3,2,1,6,7,8,11,12]=>([(0,11),(1,11),(2,11),(3,10),(4,10),(4,11),(5,10),(5,11),(6,8),(8,9),(9,7),(10,9),(11,6)],12)
[8,7,6,5,9,10,11,12,3,4,1,2]=>([(0,11),(1,11),(2,11),(3,11),(4,7),(5,6),(8,9),(9,10),(11,8)],12)
[8,7,6,5,9,10,11,12,2,1,3,4]=>([(0,11),(1,11),(2,11),(3,11),(4,10),(5,10),(6,8),(8,9),(10,7),(11,6)],12)
[8,7,6,4,9,10,11,3,5,12,1,2]=>([(0,11),(1,11),(2,11),(3,9),(4,9),(4,11),(5,6),(7,8),(8,10),(9,10),(11,7)],12)
[8,7,6,4,9,10,11,2,5,1,3,12]=>([(0,11),(1,11),(2,11),(3,9),(4,8),(4,11),(5,8),(5,9),(6,7),(7,10),(8,10),(9,10),(11,6)],12)
[8,7,6,3,9,10,11,2,1,4,5,12]=>([(0,11),(1,11),(2,11),(3,10),(4,10),(5,10),(5,11),(6,8),(7,9),(8,9),(10,7),(11,6)],12)
[8,7,5,4,9,10,3,6,11,12,1,2]=>([(0,11),(1,11),(2,10),(3,10),(3,11),(4,10),(4,11),(5,6),(7,9),(9,8),(10,9),(11,7)],12)
[8,7,5,4,9,10,2,6,11,1,3,12]=>([(0,11),(1,11),(2,10),(2,11),(3,10),(3,11),(4,7),(5,7),(5,10),(6,9),(7,8),(9,8),(10,9),(11,6)],12)
[8,7,5,3,9,10,2,6,1,4,11,12]=>([(0,11),(1,11),(2,9),(3,8),(3,11),(4,8),(4,9),(5,8),(5,9),(5,11),(7,10),(8,10),(9,10),(10,6),(11,7)],12)
[8,7,4,3,9,10,2,1,5,6,11,12]=>([(0,10),(1,10),(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(7,9),(9,8),(10,7),(11,6)],12)
[8,6,5,4,9,3,7,10,11,12,1,2]=>([(0,11),(1,10),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,6),(7,8),(9,7),(10,9),(11,9)],12)
[8,6,5,4,9,2,7,10,11,1,3,12]=>([(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,7),(5,7),(5,10),(6,9),(7,9),(8,6),(10,8),(11,8)],12)
[8,6,5,3,9,2,7,10,1,4,11,12]=>([(0,11),(1,10),(1,11),(2,10),(2,11),(3,9),(4,9),(4,10),(5,9),(5,10),(5,11),(7,8),(8,6),(9,8),(10,7),(11,7)],12)
[8,6,4,3,9,2,7,1,5,10,11,12]=>([(0,10),(1,9),(2,9),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(8,6),(9,8),(10,8),(11,8)],12)
[8,5,4,3,9,2,1,6,7,10,11,12]=>([(0,11),(1,11),(2,10),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(7,8),(9,7),(10,9),(11,6)],12)
[7,6,5,4,3,8,9,10,11,12,1,2]=>([(0,6),(1,11),(2,11),(3,11),(4,11),(5,11),(7,10),(9,8),(10,9),(11,7)],12)
[7,6,5,4,2,8,9,10,11,1,3,12]=>([(0,11),(1,11),(2,11),(3,11),(4,9),(5,9),(5,11),(6,8),(7,10),(8,7),(9,10),(11,6)],12)
[7,6,5,3,2,8,9,10,1,4,11,12]=>([(0,11),(1,11),(2,11),(3,10),(4,10),(4,11),(5,10),(5,11),(6,8),(8,9),(9,7),(10,9),(11,6)],12)
[7,6,4,3,2,8,9,1,5,10,11,12]=>([(0,11),(1,11),(2,10),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(7,8),(9,7),(10,9),(11,6)],12)
[7,5,4,3,2,8,1,6,9,10,11,12]=>([(0,11),(1,10),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,8),(8,7),(9,6),(10,9),(11,9)],12)
[6,5,4,3,2,1,7,8,9,10,11,12]=>([(0,11),(1,11),(2,11),(3,11),(4,11),(5,11),(6,10),(8,9),(9,7),(10,8),(11,6)],12)
[12,1,3,2,5,4,7,6,9,8,11,10]=>([(1,2),(1,3),(2,10),(2,11),(3,10),(3,11),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)
[12,1,2,3,4,5,7,8,9,10,11,6]=>([(1,10),(4,5),(5,9),(6,7),(7,11),(8,4),(9,2),(10,6),(11,3),(11,8)],12)
[12,11,2,4,6,8,10,1,3,5,7,9]=>([(2,8),(3,4),(3,8),(4,7),(4,9),(6,5),(6,11),(7,6),(7,10),(8,9),(9,10),(10,11)],12)
[10,9,2,4,6,8,12,1,3,5,7,11]=>([(0,10),(0,11),(1,10),(1,11),(2,7),(3,4),(3,7),(4,6),(4,8),(5,10),(5,11),(6,5),(6,9),(7,8),(8,9),(9,11)],12)
[2,12,9,11,4,6,8,10,1,3,5,7]=>([(0,11),(1,3),(1,6),(1,7),(1,11),(4,8),(5,4),(5,10),(6,2),(6,8),(7,5),(7,9),(9,10),(11,9)],12)
[12,11,10,9,2,4,6,8,1,3,5,7]=>([(4,9),(5,6),(5,9),(6,8),(6,10),(8,7),(8,11),(9,10),(10,11)],12)
[8,7,2,4,6,10,12,1,3,5,9,11]=>([(0,10),(0,11),(1,10),(1,11),(2,7),(3,4),(3,7),(4,6),(4,9),(6,10),(6,11),(7,9),(9,11),(10,5),(10,8),(11,8)],12)
[8,12,7,11,2,4,6,10,1,3,5,9]=>([(0,8),(1,7),(1,10),(1,11),(2,5),(2,8),(3,4),(3,7),(3,10),(3,11),(5,6),(5,9),(6,10),(6,11),(8,9),(9,11)],12)
[2,10,7,9,4,6,8,12,1,3,5,11]=>([(0,9),(1,3),(1,5),(1,6),(1,9),(2,10),(2,11),(3,10),(3,11),(4,8),(5,2),(5,8),(6,4),(6,7),(7,11),(8,10),(8,11),(9,7)],12)
[2,4,12,7,9,11,6,8,10,1,3,5]=>([(0,11),(1,7),(1,11),(4,8),(5,3),(5,10),(6,5),(6,8),(7,2),(7,4),(7,6),(7,9),(8,10),(11,9)],12)
[12,11,2,10,7,9,4,6,8,1,3,5]=>([(2,11),(3,5),(3,7),(3,8),(3,11),(6,9),(7,4),(7,9),(8,6),(8,10),(11,10)],12)
[10,9,8,7,2,4,6,12,1,3,5,11]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,8),(5,6),(5,8),(6,7),(6,9),(7,10),(7,11),(8,9),(9,11)],12)
[12,9,2,8,7,11,4,6,10,1,3,5]=>([(1,10),(1,11),(2,8),(3,4),(3,5),(3,6),(3,8),(4,7),(4,9),(5,10),(5,11),(6,10),(6,11),(7,11),(8,9)],12)
[8,12,7,11,10,9,2,4,6,1,3,5]=>([(0,11),(1,6),(1,11),(2,8),(2,9),(2,10),(3,4),(3,8),(3,9),(3,10),(6,5),(6,7),(11,7)],12)
[12,11,10,9,8,7,2,4,6,1,3,5]=>([(6,10),(7,8),(7,10),(8,9),(8,11),(10,11)],12)
[6,5,2,4,8,10,12,1,3,7,9,11]=>([(0,10),(0,11),(1,10),(1,11),(2,7),(3,4),(3,7),(4,10),(4,11),(5,6),(5,9),(7,11),(8,9),(10,5),(10,8),(11,8)],12)
[6,12,5,11,2,4,8,10,1,3,7,9]=>([(0,8),(1,7),(1,10),(1,11),(2,5),(2,8),(3,4),(3,7),(3,10),(3,11),(5,10),(5,11),(8,11),(10,6),(10,9),(11,9)],12)
[6,10,5,9,2,4,8,12,1,3,7,11]=>([(0,7),(1,6),(1,8),(1,10),(2,5),(2,7),(3,4),(3,6),(3,8),(3,10),(4,9),(4,11),(5,8),(5,10),(6,9),(6,11),(7,10),(8,9),(8,11),(10,11)],12)
[6,5,12,9,11,2,4,8,10,1,3,7]=>([(0,7),(1,6),(1,9),(1,10),(1,11),(2,6),(2,9),(2,10),(2,11),(3,5),(3,7),(5,10),(5,11),(7,11),(9,4),(9,8),(10,8)],12)
[12,11,6,10,5,9,2,4,8,1,3,7]=>([(2,9),(3,8),(3,10),(3,11),(4,7),(4,9),(5,6),(5,8),(5,10),(5,11),(7,10),(7,11),(9,11)],12)
[2,8,5,7,4,6,10,12,1,3,9,11]=>([(0,9),(1,3),(1,5),(1,6),(1,9),(2,10),(2,11),(3,10),(3,11),(5,7),(6,2),(6,7),(7,10),(7,11),(9,11),(10,4),(10,8),(11,8)],12)
[2,8,12,5,7,11,4,6,10,1,3,9]=>([(0,9),(1,3),(1,5),(1,6),(1,9),(3,8),(4,7),(4,10),(4,11),(5,4),(5,8),(6,2),(6,7),(6,10),(6,11),(8,10),(8,11),(9,11)],12)
[10,5,2,4,7,9,6,8,12,1,3,11]=>([(0,8),(0,9),(1,10),(1,11),(2,6),(3,4),(3,6),(4,8),(4,9),(5,10),(5,11),(6,11),(7,10),(7,11),(8,7),(9,5),(9,7)],12)
[12,5,7,2,4,6,9,11,8,10,1,3]=>([(1,8),(2,6),(2,11),(3,5),(3,8),(5,11),(6,9),(6,10),(9,7),(10,4),(10,7),(11,9),(11,10)],12)
[12,5,11,10,2,4,7,9,6,8,1,3]=>([(1,8),(2,7),(2,8),(3,5),(3,6),(3,10),(3,11),(7,10),(7,11),(10,9),(11,4),(11,9)],12)
[10,9,2,8,5,7,4,6,12,1,3,11]=>([(0,10),(0,11),(1,10),(1,11),(2,8),(3,4),(3,5),(3,6),(3,8),(4,9),(5,7),(5,9),(6,10),(6,11),(7,10),(7,11),(8,11),(9,10),(9,11)],12)
[12,5,9,8,2,4,7,11,6,10,1,3]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(3,8),(3,9),(4,10),(4,11),(5,10),(5,11),(6,8),(6,9),(8,11),(9,10),(9,11)],12)
[2,12,5,11,8,10,7,9,4,6,1,3]=>([(0,11),(1,4),(1,6),(1,8),(1,11),(5,10),(6,9),(7,3),(7,10),(8,2),(8,5),(8,7),(8,9)],12)
[12,11,10,9,2,8,5,7,4,6,1,3]=>([(4,10),(5,6),(5,7),(5,8),(5,10),(7,11),(8,9),(8,11)],12)
[8,7,6,5,2,4,10,12,1,3,9,11]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,8),(5,6),(5,8),(6,10),(6,11),(8,11),(10,7),(10,9),(11,9)],12)
[8,7,6,12,5,11,2,4,10,1,3,9]=>([(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(5,6),(5,7),(6,10),(6,11),(7,11)],12)
[10,7,2,6,5,9,4,8,12,1,3,11]=>([(0,9),(0,11),(1,8),(1,10),(2,7),(3,4),(3,5),(3,6),(3,7),(4,11),(5,9),(5,11),(6,9),(6,11),(7,10),(9,8),(9,10),(11,8),(11,10)],12)
[7,6,12,5,2,4,9,11,8,10,1,3]=>([(0,10),(0,11),(1,8),(2,7),(2,10),(2,11),(3,7),(3,10),(3,11),(4,6),(4,8),(6,10),(6,11),(10,9),(11,5),(11,9)],12)
[2,12,7,11,6,10,5,9,4,8,1,3]=>([(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,9),(4,11),(5,10),(5,11),(6,8),(6,10),(6,11),(7,2),(7,8),(7,10),(7,11)],12)
[6,10,5,9,8,7,2,4,12,1,3,11]=>([(0,6),(1,7),(1,8),(1,9),(2,5),(2,6),(3,4),(3,7),(3,8),(3,9),(4,10),(4,11),(5,10),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[2,12,6,9,5,8,7,11,4,10,1,3]=>([(0,9),(1,2),(1,3),(1,5),(1,6),(1,9),(3,11),(4,10),(4,11),(5,7),(5,8),(6,4),(6,7),(6,8),(7,10),(7,11),(8,10),(8,11)],12)
[6,8,12,5,7,11,10,9,2,4,1,3]=>([(0,10),(1,5),(1,10),(2,11),(3,6),(3,11),(6,4),(6,7),(6,8),(6,9),(11,7),(11,8),(11,9)],12)
[12,11,6,10,5,9,8,7,2,4,1,3]=>([(2,11),(3,8),(3,9),(3,10),(4,7),(4,11),(5,6),(5,8),(5,9),(5,10)],12)
[10,9,8,7,6,5,2,4,12,1,3,11]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(7,8),(7,9),(8,10),(8,11),(9,11)],12)
[12,9,8,7,2,6,5,11,4,10,1,3]=>([(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,9),(5,6),(5,7),(5,8),(5,9),(6,11),(7,10),(7,11),(8,10),(8,11)],12)
[8,7,6,12,5,11,10,9,2,4,1,3]=>([(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(5,6),(5,7)],12)
[7,12,6,11,10,9,8,5,2,4,1,3]=>([(1,11),(2,7),(2,8),(2,9),(2,10),(3,6),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10)],12)
[12,11,10,9,8,7,6,5,2,4,1,3]=>([(8,11),(9,10),(9,11)],12)
[4,3,2,6,8,10,12,1,5,7,9,11]=>([(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,6),(4,8),(6,5),(6,9),(7,8),(8,9),(10,4),(10,7),(11,7)],12)
[4,12,3,11,2,6,8,10,1,5,7,9]=>([(0,11),(1,10),(1,11),(2,7),(2,10),(2,11),(3,4),(3,7),(3,10),(3,11),(5,6),(5,9),(8,9),(10,5),(10,8),(11,8)],12)
[4,10,3,9,2,6,8,12,1,5,7,11]=>([(0,10),(1,8),(1,10),(2,6),(2,8),(2,10),(3,4),(3,6),(3,8),(3,10),(4,9),(4,11),(5,9),(5,11),(6,9),(6,11),(7,11),(8,5),(8,7),(10,7)],12)
[4,3,12,9,11,2,6,8,10,1,5,7]=>([(0,11),(1,10),(1,11),(2,6),(2,8),(2,10),(2,11),(3,6),(3,8),(3,10),(3,11),(5,9),(8,4),(8,9),(10,5),(10,7),(11,7)],12)
[12,11,4,10,3,9,2,6,8,1,5,7]=>([(2,11),(3,10),(3,11),(4,8),(4,10),(4,11),(5,6),(5,8),(5,10),(5,11),(10,7),(10,9),(11,9)],12)
[4,8,3,7,2,6,10,12,1,5,9,11]=>([(0,10),(1,8),(1,10),(2,6),(2,8),(2,10),(3,4),(3,6),(3,8),(3,10),(4,9),(4,11),(6,9),(6,11),(8,9),(8,11),(9,5),(9,7),(10,11),(11,7)],12)
[4,8,12,3,7,11,2,6,10,1,5,9]=>([(0,10),(1,8),(1,10),(2,6),(2,8),(2,10),(3,4),(3,6),(3,8),(3,10),(4,5),(4,7),(4,9),(4,11),(6,7),(6,9),(6,11),(8,9),(8,11),(10,11)],12)
[4,3,10,7,9,2,6,8,12,1,5,11]=>([(0,10),(1,8),(1,10),(2,5),(2,7),(2,8),(2,10),(3,5),(3,7),(3,8),(3,10),(4,9),(4,11),(5,9),(5,11),(6,9),(6,11),(7,4),(7,6),(8,6),(10,11)],12)
[4,3,7,9,12,11,2,6,8,10,1,5]=>([(0,11),(1,10),(1,11),(2,7),(2,10),(2,11),(3,7),(3,10),(3,11),(4,5),(4,6),(4,8),(7,4),(7,9),(9,8),(10,9)],12)
[12,4,11,3,10,7,9,2,6,8,1,5]=>([(1,11),(2,10),(2,11),(3,7),(3,9),(3,10),(3,11),(4,6),(4,7),(4,9),(4,10),(4,11),(9,5),(9,8),(10,8)],12)
[10,9,4,8,3,7,2,6,12,1,5,11]=>([(0,10),(0,11),(1,10),(1,11),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,11)],12)
[12,4,9,3,8,7,11,2,6,10,1,5]=>([(1,10),(2,8),(2,10),(3,6),(3,7),(3,8),(3,10),(4,5),(4,6),(4,7),(4,8),(4,10),(5,9),(5,11),(6,9),(6,11),(7,9),(7,11),(8,11)],12)
[4,8,12,11,10,3,7,9,2,6,1,5]=>([(0,11),(1,10),(1,11),(2,8),(2,10),(2,11),(3,4),(3,8),(3,10),(3,11),(4,5),(4,6),(4,7),(4,9),(8,9)],12)
[12,11,10,9,4,8,3,7,2,6,1,5]=>([(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[3,6,2,5,4,8,10,12,1,7,9,11]=>([(0,11),(1,7),(1,8),(2,4),(2,7),(2,8),(4,10),(4,11),(5,3),(5,6),(7,10),(7,11),(8,10),(8,11),(9,6),(10,5),(10,9),(11,9)],12)
[3,6,12,2,5,11,4,8,10,1,7,9]=>([(0,11),(1,8),(1,9),(2,5),(2,8),(2,9),(5,3),(5,6),(5,10),(5,11),(8,10),(8,11),(9,6),(9,10),(9,11),(10,4),(10,7),(11,7)],12)
[3,6,10,2,5,9,4,8,12,1,7,11]=>([(0,11),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,7),(3,9),(3,11),(4,8),(4,10),(5,9),(5,11),(6,7),(6,9),(6,11),(7,8),(7,10),(9,8),(9,10),(11,10)],12)
[3,12,6,2,5,9,11,4,8,10,1,7]=>([(0,11),(1,7),(1,9),(2,4),(2,5),(2,7),(2,9),(5,8),(5,10),(5,11),(7,10),(7,11),(8,3),(8,6),(9,8),(9,10),(9,11),(10,6)],12)
[12,11,3,6,10,2,5,9,4,8,1,7]=>([(2,11),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,9),(5,10),(5,11),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[3,5,8,2,4,7,6,10,12,1,9,11]=>([(0,11),(1,9),(2,5),(2,9),(3,10),(3,11),(5,3),(5,6),(5,7),(6,10),(6,11),(7,10),(7,11),(9,6),(9,7),(10,4),(10,8),(11,8)],12)
[3,5,8,12,2,4,7,11,6,10,1,9]=>([(0,11),(1,9),(2,5),(2,9),(4,3),(4,6),(4,10),(4,11),(5,4),(5,7),(5,8),(7,10),(7,11),(8,6),(8,10),(8,11),(9,7),(9,8)],12)
[3,5,7,10,2,4,6,9,8,12,1,11]=>([(0,11),(1,8),(2,4),(2,8),(3,10),(3,11),(4,5),(4,9),(5,3),(5,6),(5,7),(6,10),(6,11),(7,10),(7,11),(8,9),(9,6),(9,7)],12)
[3,5,7,9,12,2,4,6,8,11,10,1]=>([(1,10),(2,5),(2,10),(4,6),(4,11),(5,4),(5,9),(6,3),(6,7),(6,8),(9,11),(10,9),(11,7),(11,8)],12)
[12,11,3,5,7,10,2,4,6,9,8,1]=>([(3,8),(4,5),(4,8),(5,7),(5,9),(7,6),(7,10),(7,11),(8,9),(9,10),(9,11)],12)
[10,9,3,5,8,2,4,7,6,12,1,11]=>([(0,7),(1,11),(2,10),(2,11),(3,10),(3,11),(4,5),(4,7),(5,6),(5,8),(5,9),(6,10),(6,11),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[9,8,3,5,7,12,2,4,6,11,10,1]=>([(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,7),(4,5),(4,7),(5,6),(5,8),(6,9),(6,10),(6,11),(7,8),(8,10),(8,11)],12)
[3,5,12,11,8,10,2,4,7,9,6,1]=>([(1,11),(2,7),(2,11),(6,5),(6,10),(7,3),(7,4),(7,6),(7,8),(7,9),(9,10),(11,8),(11,9)],12)
[12,11,10,9,3,5,8,2,4,7,6,1]=>([(5,9),(6,7),(6,9),(7,8),(7,10),(7,11),(9,10),(9,11)],12)
[8,7,3,6,2,5,4,10,12,1,9,11]=>([(0,11),(1,10),(1,11),(2,10),(2,11),(3,7),(3,8),(4,5),(4,7),(4,8),(5,10),(5,11),(7,10),(7,11),(8,10),(8,11),(10,6),(10,9),(11,9)],12)
[8,7,3,6,12,2,5,11,4,10,1,9]=>([(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(4,5),(4,6),(4,7),(5,8),(5,9),(5,10),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11)],12)
[7,6,3,5,10,2,4,9,8,12,1,11]=>([(0,9),(1,8),(1,10),(1,11),(2,8),(2,10),(2,11),(3,6),(4,5),(4,6),(5,8),(5,10),(5,11),(6,10),(6,11),(8,7),(8,9),(10,7),(10,9),(11,7),(11,9)],12)
[7,6,3,5,9,12,2,4,8,11,10,1]=>([(1,10),(1,11),(2,10),(2,11),(3,7),(4,5),(4,7),(5,10),(5,11),(7,11),(10,6),(10,8),(10,9),(11,8),(11,9)],12)
[7,12,6,11,3,5,10,2,4,9,8,1]=>([(1,8),(2,7),(2,9),(2,10),(2,11),(3,6),(3,8),(4,5),(4,7),(4,9),(4,10),(4,11),(6,9),(6,10),(6,11),(8,10),(8,11)],12)
[3,6,10,9,8,2,5,7,4,12,1,11]=>([(0,11),(1,8),(1,9),(2,6),(2,8),(2,9),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,3),(6,4),(6,5),(6,7),(7,10),(7,11),(8,7),(9,10),(9,11)],12)
[3,9,6,8,5,7,12,2,4,11,10,1]=>([(1,8),(2,4),(2,5),(2,6),(2,8),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,7),(6,3),(6,7),(7,9),(7,10),(7,11),(8,10),(8,11)],12)
[3,2,12,6,8,11,10,5,7,9,4,1]=>([(1,7),(1,8),(1,10),(1,11),(2,7),(2,8),(2,10),(2,11),(5,3),(5,4),(5,6),(9,6),(10,9),(11,5),(11,9)],12)
[12,11,3,6,10,9,8,2,5,7,4,1]=>([(3,9),(3,10),(4,5),(4,9),(4,10),(5,6),(5,7),(5,8),(5,11),(10,11)],12)
[10,9,8,7,3,6,2,5,4,12,1,11]=>([(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,8),(5,9),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[9,8,7,6,3,5,12,2,4,11,10,1]=>([(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(6,7),(6,8),(7,9),(7,10),(7,11),(8,10),(8,11)],12)
[8,7,3,6,12,11,10,2,5,9,4,1]=>([(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(4,5),(4,6),(4,7),(5,8),(5,9),(5,10),(5,11),(7,11)],12)
[3,12,7,11,10,9,6,8,2,5,4,1]=>([(1,10),(1,11),(2,6),(2,7),(2,8),(2,10),(2,11),(7,9),(8,3),(8,4),(8,5),(8,9)],12)
[12,11,10,9,8,7,3,6,2,5,4,1]=>([(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[6,5,4,3,2,8,10,12,1,7,9,11]=>([(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,7),(6,9),(8,9),(10,6),(10,8),(11,8)],12)
[6,5,4,12,3,11,2,8,10,1,7,9]=>([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(10,6),(10,7),(11,7)],12)
[6,5,4,10,3,9,2,8,12,1,7,11]=>([(0,11),(1,10),(1,11),(2,8),(2,10),(2,11),(3,6),(3,8),(3,10),(3,11),(4,6),(4,8),(4,10),(4,11),(5,6),(5,8),(5,10),(5,11),(6,7),(6,9),(8,7),(8,9),(10,7),(10,9),(11,9)],12)
[6,12,5,4,3,9,11,2,8,10,1,7]=>([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(9,7),(9,8),(10,8)],12)
[5,4,3,8,2,7,6,10,12,1,9,11]=>([(0,11),(1,9),(1,10),(2,7),(2,9),(2,10),(3,7),(3,9),(3,10),(4,7),(4,9),(4,10),(7,8),(7,11),(8,5),(8,6),(9,8),(9,11),(10,8),(10,11),(11,6)],12)
[5,4,3,8,12,2,7,11,6,10,1,9]=>([(0,10),(0,11),(1,8),(1,10),(1,11),(2,8),(2,10),(2,11),(3,8),(3,10),(3,11),(4,9),(8,5),(8,6),(8,7),(8,9),(10,7),(10,9),(11,6),(11,7),(11,9)],12)
[5,4,3,7,10,2,6,9,8,12,1,11]=>([(0,11),(1,10),(2,8),(2,10),(3,8),(3,10),(4,8),(4,10),(5,9),(5,11),(6,9),(6,11),(7,9),(7,11),(8,5),(8,6),(8,7),(10,6),(10,7)],12)
[5,4,3,7,9,12,2,6,8,11,10,1]=>([(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,6),(5,8),(5,9),(7,8),(7,9),(10,5),(10,7),(11,7)],12)
[5,12,4,11,3,7,10,2,6,9,8,1]=>([(1,11),(2,10),(2,11),(3,7),(3,10),(3,11),(4,5),(4,7),(4,10),(4,11),(10,6),(10,8),(10,9),(11,8),(11,9)],12)
[5,10,4,9,3,8,2,7,6,12,1,11]=>([(0,11),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[5,9,4,8,3,7,12,2,6,11,10,1]=>([(1,9),(2,7),(2,9),(3,6),(3,7),(3,9),(4,5),(4,6),(4,7),(4,9),(5,8),(5,10),(5,11),(6,8),(6,10),(6,11),(7,8),(7,10),(7,11),(9,10),(9,11)],12)
[12,11,5,4,3,8,10,2,7,9,6,1]=>([(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(9,7),(9,8),(11,8)],12)
[12,11,5,10,4,9,3,8,2,7,6,1]=>([(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11)],12)
[4,8,3,7,6,5,2,10,12,1,9,11]=>([(0,11),(1,10),(1,11),(2,6),(2,7),(2,8),(3,4),(3,6),(3,7),(3,8),(4,10),(4,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(10,5),(10,9),(11,9)],12)
[4,8,3,7,6,12,5,11,2,10,1,9]=>([(0,11),(1,10),(1,11),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,8),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[4,7,3,6,5,10,2,9,8,12,1,11]=>([(0,9),(1,10),(1,11),(2,5),(2,6),(3,4),(3,5),(3,6),(4,8),(4,10),(4,11),(5,8),(5,10),(5,11),(6,8),(6,10),(6,11),(8,7),(8,9),(10,7),(10,9),(11,7),(11,9)],12)
[4,7,3,6,5,9,12,2,8,11,10,1]=>([(1,11),(2,6),(2,7),(3,4),(3,6),(3,7),(4,10),(4,11),(6,10),(6,11),(7,10),(7,11),(10,5),(10,8),(10,9),(11,8),(11,9)],12)
[4,7,12,3,6,11,5,10,2,9,8,1]=>([(1,10),(1,11),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,8),(4,9),(4,10),(4,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[4,6,10,3,5,9,8,7,2,12,1,11]=>([(0,6),(1,11),(2,10),(2,11),(3,4),(3,6),(4,5),(4,7),(4,8),(4,9),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[4,6,9,3,5,8,7,12,2,11,10,1]=>([(1,6),(2,10),(2,11),(3,4),(3,6),(4,5),(4,7),(4,8),(5,9),(5,10),(5,11),(6,7),(6,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[4,6,8,12,3,5,7,11,10,9,2,1]=>([(2,10),(3,5),(3,10),(5,6),(5,11),(6,4),(6,7),(6,8),(6,9),(10,11),(11,7),(11,8),(11,9)],12)
[12,11,4,6,10,3,5,9,8,7,2,1]=>([(4,8),(5,6),(5,8),(6,7),(6,9),(6,10),(6,11),(8,9),(8,10),(8,11)],12)
[10,9,4,8,3,7,6,5,2,12,1,11]=>([(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[9,8,4,7,3,6,5,12,2,11,10,1]=>([(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[8,7,4,6,12,3,5,11,10,9,2,1]=>([(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(5,6),(5,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11)],12)
[4,7,12,11,10,3,6,9,8,5,2,1]=>([(2,8),(2,9),(3,4),(3,8),(3,9),(4,5),(4,6),(4,7),(4,10),(4,11),(9,10),(9,11)],12)
[12,11,10,9,4,8,3,7,6,5,2,1]=>([(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[8,7,6,5,4,3,2,10,12,1,9,11]=>([(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(10,8),(10,9),(11,9)],12)
[8,7,6,5,4,12,3,11,2,10,1,9]=>([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[7,6,5,4,3,10,2,9,8,12,1,11]=>([(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(9,7),(9,8),(10,7),(10,8),(11,7),(11,8)],12)
[7,6,5,4,3,9,12,2,8,11,10,1]=>([(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(10,7),(10,8),(10,9),(11,8),(11,9)],12)
[7,6,5,12,4,11,3,10,2,9,8,1]=>([(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11)],12)
[6,5,4,10,3,9,8,7,2,12,1,11]=>([(0,11),(1,10),(1,11),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[6,5,4,9,3,8,7,12,2,11,10,1]=>([(1,10),(1,11),(2,8),(2,9),(3,6),(3,8),(3,9),(4,6),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,10),(6,11),(8,7),(8,10),(8,11),(9,7),(9,10),(9,11)],12)
[6,5,4,8,12,3,7,11,10,9,2,1]=>([(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(10,6),(10,7),(10,8),(10,9),(11,7),(11,8),(11,9)],12)
[6,12,5,11,4,10,3,9,8,7,2,1]=>([(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[5,10,4,9,8,7,6,3,2,12,1,11]=>([(0,11),(1,10),(1,11),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[5,9,4,8,7,6,3,12,2,11,10,1]=>([(1,10),(1,11),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[5,8,4,7,6,12,3,11,10,9,2,1]=>([(2,9),(2,10),(2,11),(3,6),(3,7),(4,5),(4,6),(4,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[5,7,12,4,6,11,10,9,8,3,2,1]=>([(3,7),(4,5),(4,7),(5,6),(5,8),(5,9),(5,10),(5,11),(7,8),(7,9),(7,10),(7,11)],12)
[12,11,5,10,4,9,8,7,6,3,2,1]=>([(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11)],12)
[10,9,8,7,6,5,4,3,2,12,1,11]=>([(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[9,8,7,6,5,4,3,12,2,11,10,1]=>([(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[8,7,6,5,4,12,3,11,10,9,2,1]=>([(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[7,6,5,12,4,11,10,9,8,3,2,1]=>([(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11)],12)
[6,12,5,11,10,9,8,7,4,3,2,1]=>([(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[12,10,9,8,7,6,5,4,3,2,1,11]=>([(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[11,3,4,5,6,7,8,9,10,1,12,2]=>([(0,11),(1,10),(2,4),(2,11),(3,11),(5,7),(6,5),(7,9),(8,6),(9,3),(10,8)],12)
[2,12,4,5,6,7,8,9,10,11,1,3]=>([(0,11),(1,3),(1,10),(1,11),(4,5),(5,7),(6,4),(7,9),(8,6),(9,2),(10,8)],12)
[3,1,2,4,5,6,7,8,9,10,11,12]=>([(0,11),(1,3),(3,11),(4,5),(5,7),(6,4),(7,9),(8,6),(9,2),(10,8),(11,10)],12)
[2,1,4,3,6,5,8,7,11,12,9,10]=>([(0,10),(0,11),(1,10),(1,11),(4,3),(5,2),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)
[2,1,4,3,6,5,9,10,7,8,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,6),(2,7),(3,6),(3,7),(4,3),(5,2),(8,4),(8,5),(9,4),(9,5),(10,8),(10,9),(11,8),(11,9)],12)
[2,1,4,3,6,5,9,11,7,12,8,10]=>([(0,10),(0,11),(1,10),(1,11),(2,5),(3,4),(6,3),(6,5),(7,2),(7,4),(8,6),(8,7),(9,6),(9,7),(10,8),(10,9),(11,8),(11,9)],12)
[2,1,4,3,6,5,10,11,12,7,8,9]=>([(0,10),(0,11),(1,10),(1,11),(2,5),(3,4),(6,3),(7,2),(8,6),(8,7),(9,6),(9,7),(10,8),(10,9),(11,8),(11,9)],12)
[2,1,4,3,7,8,5,6,10,9,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,8),(2,9),(3,8),(3,9),(6,3),(7,2),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)
[2,1,4,3,7,8,5,6,11,12,9,10]=>([(0,10),(0,11),(1,10),(1,11),(4,8),(4,9),(5,8),(5,9),(6,5),(7,4),(8,3),(9,2),(10,6),(10,7),(11,6),(11,7)],12)
[2,1,4,3,7,9,5,10,6,8,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,9),(3,8),(6,3),(6,9),(7,2),(7,8),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)
[2,1,4,3,7,9,5,11,6,12,8,10]=>([(0,10),(0,11),(1,10),(1,11),(2,5),(2,9),(3,4),(3,8),(6,3),(6,9),(7,2),(7,8),(8,5),(9,4),(10,6),(10,7),(11,6),(11,7)],12)
[2,1,4,3,7,10,5,11,12,6,8,9]=>([(0,10),(0,11),(1,10),(1,11),(4,6),(5,7),(6,3),(7,2),(8,5),(8,6),(9,4),(9,7),(10,8),(10,9),(11,8),(11,9)],12)
[2,1,4,3,8,9,10,5,6,7,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7),(8,3),(9,2),(10,8),(10,9),(11,8),(11,9)],12)
[2,1,4,3,8,9,11,5,6,12,7,10]=>([(0,10),(0,11),(1,10),(1,11),(2,5),(2,9),(3,4),(3,8),(4,9),(5,8),(6,3),(7,2),(10,6),(10,7),(11,6),(11,7)],12)
[2,1,4,3,8,10,11,5,12,6,7,9]=>([(0,10),(0,11),(1,10),(1,11),(2,5),(3,4),(4,6),(5,7),(8,3),(8,7),(9,2),(9,6),(10,8),(10,9),(11,8),(11,9)],12)
[2,1,4,3,9,10,11,12,5,6,7,8]=>([(0,8),(0,9),(1,8),(1,9),(4,6),(5,7),(6,3),(7,2),(8,10),(8,11),(9,10),(9,11),(10,4),(11,5)],12)
[2,1,5,6,3,4,8,7,10,9,12,11]=>([(0,6),(0,7),(1,6),(1,7),(2,10),(2,11),(3,10),(3,11),(6,3),(7,2),(8,4),(8,5),(9,4),(9,5),(10,8),(10,9),(11,8),(11,9)],12)
[2,1,5,6,3,4,8,7,11,12,9,10]=>([(0,8),(0,9),(1,8),(1,9),(4,10),(4,11),(5,10),(5,11),(6,3),(7,2),(8,5),(9,4),(10,6),(10,7),(11,6),(11,7)],12)
[2,1,5,6,3,4,9,10,7,8,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,6),(2,7),(3,6),(3,7),(4,8),(4,9),(5,8),(5,9),(8,3),(9,2),(10,5),(11,4)],12)
[2,1,5,6,3,4,9,11,7,12,8,10]=>([(0,8),(0,9),(1,8),(1,9),(2,7),(3,6),(4,10),(4,11),(5,10),(5,11),(8,5),(9,4),(10,3),(10,7),(11,2),(11,6)],12)
[2,1,5,6,3,4,10,11,12,7,8,9]=>([(0,10),(0,11),(1,10),(1,11),(4,8),(4,9),(5,8),(5,9),(6,3),(7,2),(8,6),(9,7),(10,5),(11,4)],12)
[2,1,5,7,3,8,4,6,10,9,12,11]=>([(0,6),(0,7),(1,6),(1,7),(2,11),(3,10),(6,3),(6,11),(7,2),(7,10),(8,4),(8,5),(9,4),(9,5),(10,8),(10,9),(11,8),(11,9)],12)
[2,1,5,7,3,8,4,6,11,12,9,10]=>([(0,8),(0,9),(1,8),(1,9),(4,11),(5,10),(6,3),(7,2),(8,5),(8,11),(9,4),(9,10),(10,6),(10,7),(11,6),(11,7)],12)
[2,1,5,7,3,9,4,10,6,8,12,11]=>([(0,8),(0,9),(1,8),(1,9),(2,7),(2,11),(3,6),(3,10),(6,11),(7,10),(8,3),(8,7),(9,2),(9,6),(10,4),(10,5),(11,4),(11,5)],12)
[2,1,5,7,3,9,4,11,6,12,8,10]=>([(0,8),(0,9),(1,8),(1,9),(2,7),(2,11),(3,6),(3,10),(6,4),(7,5),(8,3),(8,11),(9,2),(9,10),(10,4),(10,7),(11,5),(11,6)],12)
[2,1,5,7,3,10,4,11,12,6,8,9]=>([(0,10),(0,11),(1,10),(1,11),(4,6),(4,9),(5,7),(5,8),(6,3),(7,2),(8,6),(9,7),(10,4),(10,8),(11,5),(11,9)],12)
[2,1,5,8,3,9,10,4,6,7,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,9),(3,8),(4,6),(4,7),(5,6),(5,7),(8,4),(9,5),(10,3),(10,9),(11,2),(11,8)],12)
[2,1,5,8,3,9,11,4,6,12,7,10]=>([(0,10),(0,11),(1,10),(1,11),(2,9),(3,8),(4,7),(5,6),(8,4),(8,6),(9,5),(9,7),(10,3),(10,9),(11,2),(11,8)],12)
[2,1,5,8,3,10,11,4,12,6,7,9]=>([(0,10),(0,11),(1,10),(1,11),(2,9),(3,8),(4,7),(4,8),(5,6),(5,9),(6,3),(7,2),(10,4),(10,6),(11,5),(11,7)],12)
[2,1,5,9,3,10,11,12,4,6,7,8]=>([(0,10),(0,11),(1,10),(1,11),(4,8),(5,9),(6,3),(7,2),(8,6),(9,7),(10,5),(10,8),(11,4),(11,9)],12)
[2,1,6,7,8,3,4,5,10,9,12,11]=>([(0,8),(0,9),(1,8),(1,9),(2,5),(3,4),(4,10),(4,11),(5,10),(5,11),(8,3),(9,2),(10,6),(10,7),(11,6),(11,7)],12)
[2,1,6,7,8,3,4,5,11,12,9,10]=>([(0,8),(0,9),(1,8),(1,9),(4,10),(4,11),(5,10),(5,11),(6,5),(7,4),(8,6),(9,7),(10,3),(11,2)],12)
[2,1,6,7,9,3,4,10,5,8,12,11]=>([(0,8),(0,9),(1,8),(1,9),(2,5),(2,11),(3,4),(3,10),(4,11),(5,10),(8,3),(9,2),(10,6),(10,7),(11,6),(11,7)],12)
[2,1,6,7,9,3,4,11,5,12,8,10]=>([(0,8),(0,9),(1,8),(1,9),(2,5),(2,11),(3,4),(3,10),(4,6),(4,11),(5,7),(5,10),(8,3),(9,2),(10,6),(11,7)],12)
[2,1,6,7,10,3,4,11,12,5,8,9]=>([(0,8),(0,9),(1,8),(1,9),(4,10),(5,11),(6,5),(6,10),(7,4),(7,11),(8,6),(9,7),(10,3),(11,2)],12)
[2,1,6,8,9,3,10,4,5,7,12,11]=>([(0,8),(0,9),(1,8),(1,9),(2,5),(3,4),(4,10),(5,11),(8,3),(8,11),(9,2),(9,10),(10,6),(10,7),(11,6),(11,7)],12)
[2,1,6,8,9,3,11,4,5,12,7,10]=>([(0,10),(0,11),(1,10),(1,11),(2,5),(3,4),(4,6),(4,8),(5,7),(5,9),(8,7),(9,6),(10,3),(10,9),(11,2),(11,8)],12)
[2,1,6,8,10,3,11,4,12,5,7,9]=>([(0,10),(0,11),(1,10),(1,11),(2,5),(2,7),(3,4),(3,6),(4,8),(5,9),(8,7),(9,6),(10,3),(10,9),(11,2),(11,8)],12)
[2,1,6,9,10,3,11,12,4,5,7,8]=>([(0,8),(0,9),(1,8),(1,9),(4,10),(5,11),(6,4),(7,5),(8,7),(8,10),(9,6),(9,11),(10,3),(11,2)],12)
[2,1,7,8,9,10,3,4,5,6,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,8),(2,9),(3,8),(3,9),(4,6),(5,7),(6,3),(7,2),(10,4),(11,5)],12)
[2,1,7,8,9,11,3,4,5,12,6,10]=>([(0,10),(0,11),(1,10),(1,11),(2,9),(3,8),(4,6),(5,7),(6,3),(6,9),(7,2),(7,8),(10,4),(11,5)],12)
[2,1,7,8,10,11,3,4,12,5,6,9]=>([(0,10),(0,11),(1,10),(1,11),(2,9),(3,8),(4,3),(5,2),(6,5),(6,8),(7,4),(7,9),(10,6),(11,7)],12)
[2,1,7,9,10,11,3,12,4,5,6,8]=>([(0,10),(0,11),(1,10),(1,11),(2,9),(3,8),(4,6),(5,7),(6,3),(7,2),(10,5),(10,8),(11,4),(11,9)],12)
[2,1,8,9,10,11,12,3,4,5,6,7]=>([(0,10),(0,11),(1,10),(1,11),(4,6),(5,7),(6,3),(7,2),(8,4),(9,5),(10,8),(11,9)],12)
[3,4,1,2,6,5,8,7,10,9,12,11]=>([(0,3),(1,2),(2,10),(2,11),(3,10),(3,11),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)
[3,4,1,2,6,5,8,7,11,12,9,10]=>([(0,5),(1,4),(4,10),(4,11),(5,10),(5,11),(6,3),(7,2),(8,6),(8,7),(9,6),(9,7),(10,8),(10,9),(11,8),(11,9)],12)
[3,4,1,2,6,5,9,10,7,8,12,11]=>([(0,5),(1,4),(2,8),(2,9),(3,8),(3,9),(4,10),(4,11),(5,10),(5,11),(6,3),(7,2),(10,6),(10,7),(11,6),(11,7)],12)
[3,4,1,2,6,5,9,11,7,12,8,10]=>([(0,5),(1,4),(2,7),(3,6),(4,10),(4,11),(5,10),(5,11),(8,3),(8,7),(9,2),(9,6),(10,8),(10,9),(11,8),(11,9)],12)
[3,4,1,2,6,5,10,11,12,7,8,9]=>([(0,5),(1,4),(4,8),(4,9),(5,8),(5,9),(6,3),(7,2),(8,10),(8,11),(9,10),(9,11),(10,6),(11,7)],12)
[3,4,1,2,7,8,5,6,10,9,12,11]=>([(0,5),(1,4),(2,10),(2,11),(3,10),(3,11),(4,8),(4,9),(5,8),(5,9),(8,3),(9,2),(10,6),(10,7),(11,6),(11,7)],12)
[3,4,1,2,7,8,5,6,11,12,9,10]=>([(0,7),(1,6),(4,8),(4,9),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,3),(9,2),(10,5),(11,4)],12)
[3,4,1,2,7,9,5,10,6,8,12,11]=>([(0,5),(1,4),(2,11),(3,10),(4,8),(4,9),(5,8),(5,9),(8,3),(8,11),(9,2),(9,10),(10,6),(10,7),(11,6),(11,7)],12)
[3,4,1,2,7,9,5,11,6,12,8,10]=>([(0,5),(1,4),(2,7),(2,11),(3,6),(3,10),(4,8),(4,9),(5,8),(5,9),(8,3),(8,11),(9,2),(9,10),(10,7),(11,6)],12)
[3,4,1,2,7,10,5,11,12,6,8,9]=>([(0,7),(1,6),(2,11),(3,10),(6,8),(6,9),(7,8),(7,9),(8,3),(8,11),(9,2),(9,10),(10,4),(11,5)],12)
[3,4,1,2,8,9,10,5,6,7,12,11]=>([(0,5),(1,4),(2,8),(2,9),(3,8),(3,9),(4,10),(4,11),(5,10),(5,11),(6,3),(7,2),(10,6),(11,7)],12)
[3,4,1,2,8,9,11,5,6,12,7,10]=>([(0,5),(1,4),(2,11),(3,10),(4,8),(4,9),(5,8),(5,9),(6,3),(6,11),(7,2),(7,10),(8,6),(9,7)],12)
[3,4,1,2,8,10,11,5,12,6,7,9]=>([(0,5),(1,4),(2,11),(3,10),(4,8),(4,9),(5,8),(5,9),(6,3),(7,2),(8,7),(8,10),(9,6),(9,11)],12)
[3,4,1,2,9,10,11,12,5,6,7,8]=>([(0,5),(1,4),(4,10),(4,11),(5,10),(5,11),(6,3),(7,2),(8,6),(9,7),(10,8),(11,9)],12)
[3,5,1,6,2,4,8,7,10,9,12,11]=>([(0,3),(0,11),(1,2),(1,10),(2,11),(3,10),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)
[3,5,1,6,2,4,8,7,11,12,9,10]=>([(0,5),(0,11),(1,4),(1,10),(4,11),(5,10),(6,3),(7,2),(8,6),(8,7),(9,6),(9,7),(10,8),(10,9),(11,8),(11,9)],12)
[3,5,1,6,2,4,9,10,7,8,12,11]=>([(0,3),(0,11),(1,2),(1,10),(2,11),(3,10),(4,8),(4,9),(5,8),(5,9),(6,5),(7,4),(10,6),(10,7),(11,6),(11,7)],12)
[3,5,1,6,2,4,9,11,7,12,8,10]=>([(0,5),(0,11),(1,4),(1,10),(2,7),(3,6),(4,11),(5,10),(8,3),(8,7),(9,2),(9,6),(10,8),(10,9),(11,8),(11,9)],12)
[3,5,1,6,2,4,10,11,12,7,8,9]=>([(0,5),(0,11),(1,4),(1,10),(4,11),(5,10),(6,3),(7,2),(8,6),(9,7),(10,8),(10,9),(11,8),(11,9)],12)
[3,5,1,7,2,8,4,6,10,9,12,11]=>([(0,3),(0,7),(1,2),(1,6),(2,7),(2,10),(3,6),(3,11),(6,10),(7,11),(8,4),(8,5),(9,4),(9,5),(10,8),(10,9),(11,8),(11,9)],12)
[3,5,1,7,2,8,4,6,11,12,9,10]=>([(0,5),(0,9),(1,4),(1,8),(4,9),(4,10),(5,8),(5,11),(6,3),(7,2),(8,10),(9,11),(10,6),(10,7),(11,6),(11,7)],12)
[3,5,1,7,2,9,4,10,6,8,12,11]=>([(0,3),(0,11),(1,2),(1,10),(2,6),(2,11),(3,7),(3,10),(6,9),(7,8),(8,4),(8,5),(9,4),(9,5),(10,6),(10,8),(11,7),(11,9)],12)
[3,5,1,7,2,9,4,11,6,12,8,10]=>([(0,3),(0,11),(1,2),(1,10),(2,8),(2,11),(3,9),(3,10),(6,4),(7,5),(8,4),(8,7),(9,5),(9,6),(10,6),(10,8),(11,7),(11,9)],12)
[3,5,1,7,2,10,4,11,12,6,8,9]=>([(0,5),(0,11),(1,4),(1,10),(4,8),(4,11),(5,9),(5,10),(6,2),(7,3),(8,7),(9,6),(10,6),(10,8),(11,7),(11,9)],12)
[3,5,1,8,2,9,10,4,6,7,12,11]=>([(0,5),(0,11),(1,4),(1,10),(2,8),(2,9),(3,8),(3,9),(4,6),(4,11),(5,7),(5,10),(6,2),(7,3),(10,6),(11,7)],12)
[3,5,1,8,2,9,11,4,6,12,7,10]=>([(0,5),(0,11),(1,4),(1,10),(2,7),(3,6),(4,8),(4,11),(5,9),(5,10),(8,2),(8,6),(9,3),(9,7),(10,8),(11,9)],12)
[3,5,1,8,2,10,11,4,12,6,7,9]=>([(0,5),(0,11),(1,4),(1,10),(2,9),(3,8),(4,6),(4,11),(5,7),(5,10),(6,2),(7,3),(10,6),(10,8),(11,7),(11,9)],12)
[3,5,1,9,2,10,11,12,4,6,7,8]=>([(0,5),(0,11),(1,4),(1,10),(4,8),(4,11),(5,9),(5,10),(6,2),(7,3),(8,6),(9,7),(10,8),(11,9)],12)
[3,6,1,7,8,2,4,5,10,9,12,11]=>([(0,3),(0,9),(1,2),(1,8),(2,9),(3,8),(4,10),(4,11),(5,10),(5,11),(8,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)
[3,6,1,7,8,2,4,5,11,12,9,10]=>([(0,7),(0,11),(1,6),(1,10),(2,8),(2,9),(3,8),(3,9),(6,11),(7,10),(8,5),(9,4),(10,2),(11,3)],12)
[3,6,1,7,9,2,4,10,5,8,12,11]=>([(0,5),(0,9),(1,4),(1,8),(2,11),(3,10),(4,9),(5,8),(8,2),(8,10),(9,3),(9,11),(10,6),(10,7),(11,6),(11,7)],12)
[3,6,1,7,9,2,4,11,5,12,8,10]=>([(0,3),(0,11),(1,2),(1,10),(2,11),(3,10),(4,6),(4,9),(5,7),(5,8),(8,6),(9,7),(10,4),(10,8),(11,5),(11,9)],12)
[3,6,1,7,10,2,4,11,12,5,8,9]=>([(0,7),(0,11),(1,6),(1,10),(2,9),(3,8),(6,11),(7,10),(8,4),(9,5),(10,2),(10,8),(11,3),(11,9)],12)
[3,6,1,8,9,2,10,4,5,7,12,11]=>([(0,5),(0,9),(1,4),(1,8),(2,10),(3,11),(4,9),(4,10),(5,8),(5,11),(8,2),(9,3),(10,6),(10,7),(11,6),(11,7)],12)
[3,6,1,8,9,2,11,4,5,12,7,10]=>([(0,5),(0,9),(1,4),(1,8),(2,7),(2,10),(3,6),(3,11),(4,9),(4,10),(5,8),(5,11),(8,2),(9,3),(10,6),(11,7)],12)
[3,6,1,8,10,2,11,4,12,5,7,9]=>([(0,5),(0,11),(1,4),(1,10),(2,8),(3,9),(4,8),(4,11),(5,9),(5,10),(8,7),(9,6),(10,2),(10,6),(11,3),(11,7)],12)
[3,6,1,9,10,2,11,12,4,5,7,8]=>([(0,7),(0,11),(1,6),(1,10),(2,8),(3,9),(6,8),(6,11),(7,9),(7,10),(8,4),(9,5),(10,2),(11,3)],12)
[3,7,1,8,9,10,2,4,5,6,12,11]=>([(0,5),(0,11),(1,4),(1,10),(2,8),(2,9),(3,8),(3,9),(4,11),(5,10),(6,2),(7,3),(10,6),(11,7)],12)
[3,7,1,8,9,11,2,4,5,12,6,10]=>([(0,5),(0,11),(1,4),(1,10),(2,9),(3,8),(4,11),(5,10),(6,2),(6,8),(7,3),(7,9),(10,6),(11,7)],12)
[3,7,1,8,10,11,2,4,12,5,6,9]=>([(0,5),(0,11),(1,4),(1,10),(2,9),(3,8),(4,11),(5,10),(6,2),(7,3),(10,6),(10,8),(11,7),(11,9)],12)
[3,7,1,9,10,11,2,12,4,5,6,8]=>([(0,5),(0,11),(1,4),(1,10),(2,8),(3,9),(4,8),(4,11),(5,9),(5,10),(6,2),(7,3),(10,6),(11,7)],12)
[3,8,1,9,10,11,12,2,4,5,6,7]=>([(0,5),(0,11),(1,4),(1,10),(4,11),(5,10),(6,2),(7,3),(8,6),(9,7),(10,8),(11,9)],12)
[4,5,6,1,2,3,8,7,10,9,12,11]=>([(0,3),(1,2),(2,4),(3,5),(4,10),(4,11),(5,10),(5,11),(8,6),(8,7),(9,6),(9,7),(10,8),(10,9),(11,8),(11,9)],12)
[4,5,6,1,2,3,8,7,11,12,9,10]=>([(0,7),(1,6),(4,8),(4,9),(5,8),(5,9),(6,4),(7,5),(8,10),(8,11),(9,10),(9,11),(10,3),(11,2)],12)
[4,5,6,1,2,3,9,10,7,8,12,11]=>([(0,7),(1,6),(2,10),(2,11),(3,10),(3,11),(4,8),(4,9),(5,8),(5,9),(6,2),(7,3),(10,5),(11,4)],12)
[4,5,6,1,2,3,9,11,7,12,8,10]=>([(0,7),(1,6),(2,10),(2,11),(3,10),(3,11),(4,9),(5,8),(6,2),(7,3),(10,5),(10,9),(11,4),(11,8)],12)
[4,5,6,1,2,3,10,11,12,7,8,9]=>([(0,9),(1,8),(4,10),(4,11),(5,10),(5,11),(6,3),(7,2),(8,4),(9,5),(10,6),(11,7)],12)
[4,5,7,1,2,8,3,6,10,9,12,11]=>([(0,5),(1,4),(2,11),(3,10),(4,2),(4,10),(5,3),(5,11),(8,6),(8,7),(9,6),(9,7),(10,8),(10,9),(11,8),(11,9)],12)
[4,5,7,1,2,8,3,6,11,12,9,10]=>([(0,7),(1,6),(4,9),(5,8),(6,4),(6,8),(7,5),(7,9),(8,10),(8,11),(9,10),(9,11),(10,3),(11,2)],12)
[4,5,7,1,2,9,3,10,6,8,12,11]=>([(0,3),(1,2),(2,4),(2,8),(3,5),(3,9),(4,9),(4,10),(5,8),(5,11),(8,10),(9,11),(10,6),(10,7),(11,6),(11,7)],12)
[4,5,7,1,2,9,3,11,6,12,8,10]=>([(0,3),(1,2),(2,4),(2,10),(3,5),(3,11),(4,8),(4,11),(5,9),(5,10),(8,7),(9,6),(10,6),(10,8),(11,7),(11,9)],12)
[4,5,7,1,2,10,3,11,12,6,8,9]=>([(0,7),(1,6),(4,9),(4,10),(5,8),(5,11),(6,4),(6,8),(7,5),(7,9),(8,10),(9,11),(10,2),(11,3)],12)
[4,5,8,1,2,9,10,3,6,7,12,11]=>([(0,7),(1,6),(2,11),(3,10),(4,8),(4,9),(5,8),(5,9),(6,2),(6,10),(7,3),(7,11),(10,4),(11,5)],12)
[4,5,8,1,2,9,11,3,6,12,7,10]=>([(0,7),(1,6),(2,11),(3,10),(4,9),(5,8),(6,2),(6,10),(7,3),(7,11),(10,4),(10,8),(11,5),(11,9)],12)
[4,5,8,1,2,10,11,3,12,6,7,9]=>([(0,7),(1,6),(2,8),(3,9),(4,8),(4,11),(5,9),(5,10),(6,4),(6,10),(7,5),(7,11),(10,2),(11,3)],12)
[4,5,9,1,2,10,11,12,3,6,7,8]=>([(0,9),(1,8),(4,11),(5,10),(6,2),(7,3),(8,4),(8,10),(9,5),(9,11),(10,6),(11,7)],12)
[4,6,7,1,8,2,3,5,10,9,12,11]=>([(0,3),(0,11),(1,2),(1,10),(2,4),(3,5),(4,11),(5,10),(8,6),(8,7),(9,6),(9,7),(10,8),(10,9),(11,8),(11,9)],12)
[4,6,7,1,8,2,3,5,11,12,9,10]=>([(0,7),(0,9),(1,6),(1,8),(4,9),(5,8),(6,4),(7,5),(8,10),(8,11),(9,10),(9,11),(10,3),(11,2)],12)
[4,6,7,1,9,2,3,10,5,8,12,11]=>([(0,3),(0,9),(1,2),(1,8),(2,4),(3,5),(4,9),(4,10),(5,8),(5,11),(8,10),(9,11),(10,6),(10,7),(11,6),(11,7)],12)
[4,6,7,1,9,2,3,11,5,12,8,10]=>([(0,3),(0,11),(1,2),(1,10),(2,4),(3,5),(4,8),(4,11),(5,9),(5,10),(8,7),(9,6),(10,6),(10,8),(11,7),(11,9)],12)
[4,6,7,1,10,2,3,11,12,5,8,9]=>([(0,7),(0,9),(1,6),(1,8),(4,9),(4,10),(5,8),(5,11),(6,4),(7,5),(8,10),(9,11),(10,2),(11,3)],12)
[4,6,8,1,9,2,10,3,5,7,12,11]=>([(0,5),(0,9),(1,4),(1,8),(2,9),(3,8),(4,2),(4,10),(5,3),(5,11),(8,10),(9,11),(10,6),(10,7),(11,6),(11,7)],12)
[4,6,8,1,9,2,11,3,5,12,7,10]=>([(0,5),(0,11),(1,4),(1,10),(2,11),(3,10),(4,2),(4,8),(5,3),(5,9),(8,7),(9,6),(10,6),(10,8),(11,7),(11,9)],12)
[4,6,8,1,10,2,11,3,12,5,7,9]=>([(0,3),(0,11),(1,2),(1,10),(2,4),(2,8),(3,5),(3,9),(4,6),(4,11),(5,7),(5,10),(8,6),(9,7),(10,8),(11,9)],12)
[4,6,9,1,10,2,11,12,3,5,7,8]=>([(0,7),(0,9),(1,6),(1,8),(4,9),(5,8),(6,4),(6,10),(7,5),(7,11),(8,10),(9,11),(10,2),(11,3)],12)
[4,7,8,1,9,10,2,3,5,6,12,11]=>([(0,7),(0,11),(1,6),(1,10),(2,11),(3,10),(4,8),(4,9),(5,8),(5,9),(6,2),(7,3),(10,4),(11,5)],12)
[4,7,8,1,9,11,2,3,5,12,6,10]=>([(0,7),(0,11),(1,6),(1,10),(2,11),(3,10),(4,9),(5,8),(6,2),(7,3),(10,4),(10,8),(11,5),(11,9)],12)
[4,7,8,1,10,11,2,3,12,5,6,9]=>([(0,7),(0,11),(1,6),(1,10),(2,8),(3,9),(4,8),(4,11),(5,9),(5,10),(6,4),(7,5),(10,2),(11,3)],12)
[4,7,9,1,10,11,2,12,3,5,6,8]=>([(0,7),(0,11),(1,6),(1,10),(2,11),(3,10),(4,8),(5,9),(6,2),(6,8),(7,3),(7,9),(10,4),(11,5)],12)
[4,8,9,1,10,11,12,2,3,5,6,7]=>([(0,9),(0,11),(1,8),(1,10),(4,11),(5,10),(6,2),(7,3),(8,4),(9,5),(10,6),(11,7)],12)
[5,6,7,8,1,2,3,4,10,9,12,11]=>([(0,7),(1,6),(2,8),(2,9),(3,8),(3,9),(4,2),(5,3),(6,4),(7,5),(8,10),(8,11),(9,10),(9,11)],12)
[5,6,7,8,1,2,3,4,11,12,9,10]=>([(0,9),(1,8),(2,10),(2,11),(3,10),(3,11),(6,2),(7,3),(8,6),(9,7),(10,5),(11,4)],12)
[5,6,7,9,1,2,3,10,4,8,12,11]=>([(0,7),(1,6),(2,9),(3,8),(4,2),(4,8),(5,3),(5,9),(6,4),(7,5),(8,10),(8,11),(9,10),(9,11)],12)
[5,6,7,9,1,2,3,11,4,12,8,10]=>([(0,7),(1,6),(2,9),(2,10),(3,8),(3,11),(4,2),(4,8),(5,3),(5,9),(6,4),(7,5),(8,10),(9,11)],12)
[5,6,7,10,1,2,3,11,12,4,8,9]=>([(0,9),(1,8),(2,11),(3,10),(6,2),(6,10),(7,3),(7,11),(8,6),(9,7),(10,4),(11,5)],12)
[5,6,8,9,1,2,10,3,4,7,12,11]=>([(0,7),(1,6),(2,9),(3,8),(4,2),(5,3),(6,4),(6,8),(7,5),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[5,6,8,9,1,2,11,3,4,12,7,10]=>([(0,7),(1,6),(2,9),(2,10),(3,8),(3,11),(4,2),(5,3),(6,4),(6,8),(7,5),(7,9),(8,10),(9,11)],12)
[5,6,8,10,1,2,11,3,12,4,7,9]=>([(0,7),(1,6),(2,9),(3,8),(4,2),(4,10),(5,3),(5,11),(6,4),(6,8),(7,5),(7,9),(8,10),(9,11)],12)
[5,6,9,10,1,2,11,12,3,4,7,8]=>([(0,9),(1,8),(2,11),(3,10),(6,2),(7,3),(8,6),(8,10),(9,7),(9,11),(10,4),(11,5)],12)
[5,7,8,9,1,10,2,3,4,6,12,11]=>([(0,7),(0,11),(1,6),(1,10),(2,10),(3,11),(4,3),(5,2),(6,4),(7,5),(10,8),(10,9),(11,8),(11,9)],12)
[5,7,8,9,1,11,2,3,4,12,6,10]=>([(0,7),(0,11),(1,6),(1,10),(2,9),(2,10),(3,8),(3,11),(4,3),(5,2),(6,4),(7,5),(10,8),(11,9)],12)
[5,7,8,10,1,11,2,3,12,4,6,9]=>([(0,7),(0,11),(1,6),(1,10),(2,10),(3,11),(4,3),(4,8),(5,2),(5,9),(6,4),(7,5),(10,8),(11,9)],12)
[5,7,9,10,1,11,2,12,3,4,6,8]=>([(0,7),(0,11),(1,6),(1,10),(2,10),(3,11),(4,3),(5,2),(6,4),(6,8),(7,5),(7,9),(10,8),(11,9)],12)
[5,8,9,10,1,11,12,2,3,4,6,7]=>([(0,9),(0,11),(1,8),(1,10),(2,10),(3,11),(6,3),(7,2),(8,6),(9,7),(10,4),(11,5)],12)
[6,7,8,9,10,1,2,3,4,5,12,11]=>([(0,9),(1,8),(2,10),(2,11),(3,10),(3,11),(4,6),(5,7),(6,2),(7,3),(8,4),(9,5)],12)
[6,7,8,9,11,1,2,3,4,12,5,10]=>([(0,9),(1,8),(2,11),(3,10),(4,6),(5,7),(6,2),(6,10),(7,3),(7,11),(8,4),(9,5)],12)
[6,7,8,10,11,1,2,3,12,4,5,9]=>([(0,9),(1,8),(2,11),(3,10),(4,2),(5,3),(6,4),(6,10),(7,5),(7,11),(8,6),(9,7)],12)
[6,7,9,10,11,1,2,12,3,4,5,8]=>([(0,9),(1,8),(2,10),(3,11),(4,6),(5,7),(6,3),(7,2),(8,4),(8,10),(9,5),(9,11)],12)
[6,8,9,10,11,1,12,2,3,4,5,7]=>([(0,9),(0,11),(1,8),(1,10),(2,10),(3,11),(4,6),(5,7),(6,3),(7,2),(8,4),(9,5)],12)
[1,2,3,4,5,6,7,8,9,12,10,11]=>([(0,10),(3,4),(4,6),(5,3),(6,8),(7,5),(8,11),(9,1),(10,7),(11,2),(11,9)],12)
[12,1,3,4,5,6,7,8,9,10,11,2]=>([(1,3),(1,11),(4,6),(5,4),(6,8),(7,5),(8,10),(9,7),(10,2),(11,9)],12)
[3,2,5,4,7,6,9,8,11,10,1,12]=>([(0,11),(1,9),(1,10),(2,9),(2,10),(3,11),(4,11),(5,7),(5,8),(6,7),(6,8),(7,3),(7,4),(8,3),(8,4),(9,5),(9,6),(10,5),(10,6)],12)
[3,2,5,4,7,6,9,8,1,12,10,11]=>([(0,10),(0,11),(1,8),(1,9),(2,8),(2,9),(4,10),(4,11),(5,10),(5,11),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7),(11,3)],12)
[3,2,5,4,7,6,11,10,8,9,1,12]=>([(0,11),(1,7),(1,8),(2,7),(2,8),(3,11),(4,11),(5,11),(6,3),(7,9),(7,10),(8,9),(8,10),(9,4),(9,5),(9,6),(10,4),(10,5),(10,6)],12)
[3,2,5,4,7,6,1,10,8,12,9,11]=>([(0,10),(0,11),(1,8),(1,9),(2,8),(2,9),(3,7),(4,10),(4,11),(5,10),(5,11),(8,4),(8,5),(9,4),(9,5),(10,3),(10,6),(11,6),(11,7)],12)
[3,2,5,4,7,6,1,12,11,8,9,10]=>([(0,9),(0,10),(0,11),(1,7),(1,8),(2,7),(2,8),(3,4),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,5),(7,6),(8,5),(8,6),(11,3)],12)
[3,2,5,4,9,8,6,7,11,10,1,12]=>([(0,9),(1,7),(1,8),(2,7),(2,8),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,3),(7,4),(7,5),(7,6),(8,4),(8,5),(8,6),(10,9),(11,9)],12)
[3,2,5,4,9,8,6,7,1,12,10,11]=>([(0,10),(0,11),(1,8),(1,9),(2,8),(2,9),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,4),(8,5),(8,6),(8,7),(9,5),(9,6),(9,7),(11,3)],12)
[3,2,5,4,11,8,6,10,7,9,1,12]=>([(0,11),(1,9),(1,10),(2,9),(2,10),(3,6),(4,11),(5,11),(6,11),(7,3),(7,5),(8,5),(8,6),(9,4),(9,7),(9,8),(10,4),(10,7),(10,8)],12)
[3,2,5,4,1,8,6,10,7,12,9,11]=>([(0,10),(0,11),(1,6),(1,7),(2,6),(2,7),(3,5),(3,8),(6,10),(6,11),(7,10),(7,11),(8,4),(9,4),(9,5),(10,8),(10,9),(11,3),(11,9)],12)
[3,2,5,4,1,8,6,12,11,7,9,10]=>([(0,10),(0,11),(1,8),(1,9),(2,8),(2,9),(4,7),(7,3),(8,10),(8,11),(9,10),(9,11),(10,4),(10,5),(10,6),(11,5),(11,6),(11,7)],12)
[3,2,5,4,11,10,9,6,7,8,1,12]=>([(0,11),(1,9),(1,10),(2,9),(2,10),(3,4),(4,11),(5,11),(6,11),(7,11),(8,3),(9,5),(9,6),(9,7),(9,8),(10,5),(10,6),(10,7),(10,8)],12)
[3,2,5,4,1,10,9,6,7,12,8,11]=>([(0,5),(0,6),(1,5),(1,6),(2,8),(2,10),(2,11),(3,4),(3,9),(4,7),(5,8),(5,10),(5,11),(6,8),(6,10),(6,11),(8,3),(10,7),(10,9),(11,7),(11,9)],12)
[3,2,5,4,1,12,9,6,11,7,8,10]=>([(0,9),(0,10),(0,11),(1,7),(1,8),(2,7),(2,8),(3,4),(4,6),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(10,3),(10,5),(11,5),(11,6)],12)
[3,2,5,4,1,12,11,10,6,7,8,9]=>([(0,6),(0,7),(1,6),(1,7),(2,8),(2,9),(2,10),(2,11),(3,5),(5,4),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(11,3)],12)
[3,2,7,6,4,5,9,8,11,10,1,12]=>([(0,9),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,10),(3,11),(4,9),(5,9),(6,10),(6,11),(7,10),(7,11),(8,3),(10,4),(10,5),(11,4),(11,5)],12)
[3,2,7,6,4,5,9,8,1,12,10,11]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,8),(2,9),(4,10),(4,11),(5,4),(6,10),(6,11),(7,10),(7,11),(9,3),(10,8),(10,9),(11,8),(11,9)],12)
[3,2,7,6,4,5,11,10,8,9,1,12]=>([(0,11),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,11),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,4),(8,11),(9,11),(10,3)],12)
[3,2,7,6,4,5,1,10,8,12,9,11]=>([(0,10),(0,11),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,10),(3,11),(4,5),(7,10),(7,11),(8,10),(8,11),(9,3),(10,4),(10,6),(11,5),(11,6)],12)
[3,2,7,6,4,5,1,12,11,8,9,10]=>([(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,5),(4,9),(4,10),(4,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,4),(11,3)],12)
[3,2,9,6,4,8,5,7,11,10,1,12]=>([(0,11),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,5),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,3),(7,4),(8,4),(8,5),(9,11),(10,11)],12)
[3,2,9,6,4,8,5,7,1,12,10,11]=>([(0,10),(0,11),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(4,6),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,4),(8,5),(9,5),(9,6),(11,3)],12)
[3,2,11,6,4,8,5,10,7,9,1,12]=>([(0,11),(1,6),(1,8),(1,10),(2,6),(2,8),(2,10),(3,5),(3,7),(4,11),(5,11),(6,11),(7,4),(8,3),(8,9),(9,4),(9,5),(10,7),(10,9)],12)
[3,2,1,6,4,8,5,10,7,12,9,11]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,8),(3,9),(6,5),(7,6),(7,9),(8,4),(8,6),(9,4),(9,5),(10,3),(10,7),(11,7),(11,8)],12)
[3,2,1,6,4,8,5,12,11,7,9,10]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(4,5),(4,6),(4,8),(7,3),(8,7),(9,5),(9,6),(9,7),(10,8),(10,9),(11,4),(11,9)],12)
[3,2,11,6,4,10,9,5,7,8,1,12]=>([(0,11),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,11),(4,7),(5,11),(6,11),(7,3),(8,11),(9,4),(9,5),(9,6),(10,5),(10,6),(10,7)],12)
[3,2,1,6,4,10,9,5,7,12,8,11]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,5),(4,9),(5,4),(5,8),(6,8),(6,9),(7,8),(7,9),(10,5),(10,6),(10,7),(11,3),(11,6),(11,7)],12)
[3,2,1,6,4,12,9,5,11,7,8,10]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,8),(4,5),(4,7),(7,3),(9,5),(9,8),(10,4),(10,6),(10,9),(11,6),(11,7),(11,9)],12)
[3,2,1,6,4,12,11,10,5,7,8,9]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,4),(5,9),(9,3),(10,5),(10,6),(10,7),(10,8),(11,6),(11,7),(11,8),(11,9)],12)
[3,2,9,8,7,4,5,6,11,10,1,12]=>([(0,9),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,4),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,3),(10,9),(11,9)],12)
[3,2,9,8,7,4,5,6,1,12,10,11]=>([(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(4,5),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,4),(11,3)],12)
[3,2,11,8,7,4,5,10,6,9,1,12]=>([(0,11),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,4),(3,10),(4,9),(5,11),(6,9),(6,10),(7,9),(7,10),(8,3),(9,11),(10,11)],12)
[3,2,1,8,7,4,5,10,6,12,9,11]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,4),(3,8),(4,6),(4,7),(7,5),(8,5),(8,6),(9,3),(10,7),(10,8),(11,7),(11,8)],12)
[3,2,1,8,7,4,5,12,11,6,9,10]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(4,8),(5,4),(5,6),(5,7),(8,3),(9,5),(10,6),(10,7),(10,8),(11,6),(11,7),(11,8)],12)
[3,2,11,10,7,4,9,5,6,8,1,12]=>([(0,11),(1,7),(1,8),(1,9),(1,10),(2,7),(2,8),(2,9),(2,10),(3,4),(4,6),(5,11),(6,11),(7,11),(8,11),(9,3),(9,5),(10,5),(10,6)],12)
[3,2,1,10,7,4,9,5,6,12,8,11]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,4),(4,5),(4,7),(5,8),(6,7),(6,8),(9,5),(9,6),(10,3),(10,6),(11,7),(11,8)],12)
[3,2,1,12,7,4,9,5,11,6,8,10]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,4),(3,6),(4,7),(7,5),(8,5),(8,6),(10,7),(10,8),(11,3),(11,8)],12)
[3,2,1,12,7,4,11,10,5,6,8,9]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(4,5),(5,8),(8,3),(10,6),(10,7),(10,8),(11,4),(11,6),(11,7)],12)
[3,2,11,10,9,8,4,5,6,7,1,12]=>([(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(2,6),(2,7),(2,8),(2,9),(2,10),(3,5),(4,11),(5,4),(6,3),(7,11),(8,11),(9,11),(10,11)],12)
[3,2,1,10,9,8,4,5,6,12,7,11]=>([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,5),(4,10),(5,4),(5,11),(6,3),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,2,1,12,9,8,4,5,11,6,7,10]=>([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,5),(4,3),(4,6),(5,7),(9,4),(10,6),(10,7),(11,6),(11,7)],12)
[3,2,1,12,11,8,4,10,5,6,7,9]=>([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,5),(4,7),(5,4),(10,6),(10,7),(11,3),(11,6)],12)
[3,2,1,12,11,10,9,4,5,6,7,8]=>([(0,7),(0,8),(0,9),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(5,4),(6,5),(11,3)],12)
[5,4,2,3,7,6,9,8,11,10,1,12]=>([(0,9),(1,10),(1,11),(2,10),(2,11),(3,4),(4,10),(4,11),(5,7),(5,8),(6,7),(6,8),(7,9),(8,9),(10,5),(10,6),(11,5),(11,6)],12)
[5,4,2,3,7,6,9,8,1,12,10,11]=>([(0,10),(0,11),(1,10),(1,11),(2,8),(2,9),(3,5),(5,10),(5,11),(6,8),(6,9),(7,8),(7,9),(9,4),(10,6),(10,7),(11,6),(11,7)],12)
[5,4,2,3,7,6,11,10,8,9,1,12]=>([(0,11),(1,9),(1,10),(2,9),(2,10),(3,5),(4,11),(5,9),(5,10),(6,11),(7,11),(8,4),(9,6),(9,7),(9,8),(10,6),(10,7),(10,8)],12)
[5,4,2,3,7,6,1,10,8,12,9,11]=>([(0,10),(0,11),(1,10),(1,11),(2,8),(2,9),(3,4),(4,10),(4,11),(5,7),(8,6),(8,7),(9,5),(9,6),(10,8),(10,9),(11,8),(11,9)],12)
[5,4,2,3,7,6,1,12,11,8,9,10]=>([(0,6),(1,10),(1,11),(2,10),(2,11),(3,7),(3,8),(3,9),(4,5),(6,10),(6,11),(9,4),(10,7),(10,8),(10,9),(11,7),(11,8),(11,9)],12)
[5,4,2,3,9,8,6,7,11,10,1,12]=>([(0,5),(1,6),(2,7),(2,10),(2,11),(3,7),(3,10),(3,11),(4,8),(4,9),(5,7),(5,10),(5,11),(7,4),(8,6),(9,6),(10,8),(10,9),(11,8),(11,9)],12)
[5,4,2,3,9,8,6,7,1,12,10,11]=>([(0,10),(0,11),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,5),(11,4)],12)
[5,4,2,3,11,8,6,10,7,9,1,12]=>([(0,11),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,5),(4,7),(5,8),(5,9),(5,10),(6,11),(7,11),(8,11),(9,6),(9,7),(10,4),(10,6)],12)
[5,4,2,3,1,8,6,10,7,12,9,11]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,5),(4,8),(4,9),(5,10),(5,11),(6,7),(6,9),(8,7),(10,6),(10,8),(11,4),(11,6)],12)
[5,4,2,3,1,8,6,12,11,7,9,10]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,6),(4,9),(6,10),(6,11),(9,5),(10,7),(10,8),(10,9),(11,4),(11,7),(11,8)],12)
[5,4,2,3,11,10,9,6,7,8,1,12]=>([(0,11),(1,7),(1,8),(1,9),(1,10),(2,7),(2,8),(2,9),(2,10),(3,5),(4,6),(5,7),(5,8),(5,9),(5,10),(6,11),(7,11),(8,11),(9,11),(10,4)],12)
[5,4,2,3,1,10,9,6,7,12,8,11]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,5),(4,6),(4,8),(5,9),(5,10),(5,11),(6,7),(9,7),(9,8),(10,7),(10,8),(11,4)],12)
[5,4,2,3,1,12,9,6,11,7,8,10]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,5),(4,6),(5,9),(5,10),(5,11),(6,8),(10,7),(10,8),(11,4),(11,7)],12)
[5,4,2,3,1,12,11,10,6,7,8,9]=>([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,5),(4,6),(5,8),(5,9),(5,10),(5,11),(6,7),(11,4)],12)
[7,4,2,6,3,5,9,8,11,10,1,12]=>([(0,11),(1,9),(1,10),(2,5),(2,8),(3,4),(3,5),(4,8),(5,9),(5,10),(6,11),(7,11),(8,9),(8,10),(9,6),(9,7),(10,6),(10,7)],12)
[7,4,2,6,3,5,9,8,1,12,10,11]=>([(0,8),(0,11),(1,9),(1,10),(2,6),(2,7),(3,5),(3,6),(5,7),(6,9),(6,10),(7,9),(7,10),(9,8),(9,11),(10,8),(10,11),(11,4)],12)
[7,4,2,6,3,5,11,10,8,9,1,12]=>([(0,11),(1,8),(1,9),(1,10),(2,6),(2,7),(3,4),(3,6),(4,7),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,5)],12)
[7,4,2,6,3,5,1,10,8,12,9,11]=>([(0,10),(0,11),(1,10),(1,11),(2,6),(2,8),(3,5),(3,6),(4,9),(5,8),(6,10),(6,11),(8,10),(8,11),(10,7),(10,9),(11,4),(11,7)],12)
[7,4,2,6,3,5,1,12,11,8,9,10]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,7),(2,8),(3,4),(3,7),(4,8),(5,6),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(11,5)],12)
[9,4,2,6,3,8,5,7,11,10,1,12]=>([(0,11),(1,9),(1,10),(2,5),(2,7),(3,4),(3,5),(4,7),(4,8),(5,6),(5,8),(6,9),(6,10),(7,6),(8,9),(8,10),(9,11),(10,11)],12)
[9,4,2,6,3,8,5,7,1,12,10,11]=>([(0,10),(0,11),(1,10),(1,11),(2,6),(2,8),(3,5),(3,6),(5,8),(5,9),(6,7),(6,9),(7,10),(7,11),(8,7),(9,10),(9,11),(11,4)],12)
[11,4,2,6,3,8,5,10,7,9,1,12]=>([(0,11),(1,11),(2,4),(2,8),(3,8),(3,10),(4,9),(4,10),(5,11),(6,11),(7,6),(8,7),(8,9),(9,5),(9,6),(10,5),(10,7)],12)
[1,4,2,6,3,8,5,10,7,12,9,11]=>([(0,1),(0,3),(1,2),(1,9),(2,10),(2,11),(3,9),(3,10),(6,5),(7,4),(7,6),(8,4),(8,5),(9,7),(9,11),(10,7),(10,8),(11,6),(11,8)],12)
[1,4,2,6,3,8,5,12,11,7,9,10]=>([(0,2),(0,4),(2,3),(2,9),(3,10),(3,11),(4,9),(4,11),(7,1),(8,7),(9,8),(9,10),(10,5),(10,6),(10,7),(11,5),(11,6),(11,8)],12)
[11,4,2,6,3,10,9,5,7,8,1,12]=>([(0,11),(1,11),(2,5),(2,10),(3,9),(3,10),(4,11),(5,6),(5,7),(5,9),(6,11),(7,11),(8,4),(9,8),(10,6),(10,7),(10,8)],12)
[1,4,2,6,3,10,9,5,7,12,8,11]=>([(0,2),(0,3),(1,11),(2,4),(2,9),(3,8),(3,9),(4,5),(4,6),(4,8),(5,10),(5,11),(6,10),(6,11),(7,1),(7,10),(8,7),(9,5),(9,6),(9,7)],12)
[1,4,2,6,3,12,9,5,11,7,8,10]=>([(0,2),(0,3),(1,8),(2,4),(2,11),(3,10),(3,11),(4,6),(4,9),(4,10),(7,1),(9,5),(9,8),(10,5),(10,7),(11,6),(11,7),(11,9)],12)
[1,4,2,6,3,12,11,10,5,7,8,9]=>([(0,3),(0,4),(1,2),(3,5),(3,11),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(9,1),(10,9),(11,6),(11,7),(11,8),(11,9)],12)
[9,4,2,8,7,3,5,6,11,10,1,12]=>([(0,10),(0,11),(1,9),(2,6),(2,7),(2,8),(3,4),(3,6),(3,7),(4,8),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,5),(10,9),(11,9)],12)
[9,4,2,8,7,3,5,6,1,12,10,11]=>([(0,10),(0,11),(1,10),(1,11),(2,7),(2,8),(2,9),(3,5),(3,7),(3,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,6),(11,4)],12)
[11,4,2,8,7,3,5,10,6,9,1,12]=>([(0,11),(1,11),(2,6),(2,7),(2,8),(3,4),(3,6),(3,7),(4,8),(5,10),(6,9),(6,10),(7,9),(7,10),(8,5),(8,9),(9,11),(10,11)],12)
[1,4,2,8,7,3,5,10,6,12,9,11]=>([(0,3),(0,4),(1,9),(2,8),(2,10),(3,1),(3,5),(3,6),(4,5),(4,6),(4,9),(5,10),(5,11),(6,10),(6,11),(9,2),(9,11),(10,7),(11,7),(11,8)],12)
[1,4,2,8,7,3,5,12,11,6,9,10]=>([(0,4),(0,5),(2,11),(3,8),(4,6),(4,7),(4,8),(5,3),(5,6),(5,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,2),(8,9),(8,10),(11,1)],12)
[11,4,2,10,7,3,9,5,6,8,1,12]=>([(0,11),(1,11),(2,5),(2,7),(2,10),(3,7),(3,8),(3,10),(4,9),(5,6),(5,8),(6,11),(7,11),(8,4),(9,11),(10,6),(10,9)],12)
[1,4,2,10,7,3,9,5,6,12,8,11]=>([(0,3),(0,4),(1,5),(1,11),(2,7),(2,8),(3,2),(3,6),(3,9),(4,6),(4,7),(4,9),(5,10),(6,10),(6,11),(7,1),(8,10),(8,11),(9,5),(9,8)],12)
[1,4,2,12,7,3,9,5,11,6,8,10]=>([(0,3),(0,4),(1,8),(2,9),(2,11),(3,2),(3,7),(3,10),(4,7),(4,9),(4,10),(8,6),(9,1),(9,5),(10,8),(10,11),(11,5),(11,6)],12)
[1,4,2,12,7,3,11,10,5,6,8,9]=>([(0,3),(0,5),(2,7),(3,4),(3,6),(3,11),(4,8),(4,9),(4,10),(5,6),(5,10),(5,11),(7,1),(10,2),(11,7),(11,8),(11,9)],12)
[11,4,2,10,9,8,3,5,6,7,1,12]=>([(0,11),(1,11),(2,7),(2,8),(2,9),(2,10),(3,4),(3,7),(3,8),(3,9),(4,10),(5,6),(6,11),(7,11),(8,11),(9,11),(10,5)],12)
[1,4,2,10,9,8,3,5,6,12,7,11]=>([(0,3),(0,5),(1,10),(2,6),(3,6),(3,7),(3,8),(3,9),(4,1),(4,11),(5,2),(5,7),(5,8),(5,9),(6,4),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,4,2,12,9,8,3,5,11,6,7,10]=>([(0,3),(0,5),(1,10),(2,7),(3,6),(3,7),(3,8),(3,9),(4,1),(5,2),(5,6),(5,8),(5,9),(7,4),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,4,2,12,11,8,3,10,5,6,7,9]=>([(0,4),(0,5),(1,2),(2,9),(3,8),(3,10),(4,3),(4,6),(4,7),(4,11),(5,6),(5,7),(5,10),(5,11),(10,1),(11,8),(11,9)],12)
[1,4,2,12,11,10,9,3,5,6,7,8]=>([(0,3),(0,6),(2,7),(3,7),(3,8),(3,9),(3,10),(3,11),(4,1),(5,4),(6,2),(6,8),(6,9),(6,10),(6,11),(7,5)],12)
[7,6,5,2,3,4,9,8,11,10,1,12]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,9),(4,5),(5,6),(6,10),(6,11),(7,9),(8,9),(10,7),(10,8),(11,7),(11,8)],12)
[7,6,5,2,3,4,9,8,1,12,10,11]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,8),(3,9),(4,6),(6,7),(7,10),(7,11),(9,5),(10,8),(10,9),(11,8),(11,9)],12)
[7,6,5,2,3,4,11,10,8,9,1,12]=>([(0,11),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,6),(5,11),(6,7),(7,8),(7,9),(7,10),(8,11),(9,11),(10,5)],12)
[7,6,5,2,3,4,1,10,8,12,9,11]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,6),(5,9),(6,7),(7,10),(7,11),(10,8),(10,9),(11,5),(11,8)],12)
[7,6,5,2,3,4,1,12,11,8,9,10]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,5),(5,8),(6,7),(8,9),(8,10),(8,11),(11,6)],12)
[9,6,5,2,3,8,4,7,11,10,1,12]=>([(0,10),(1,7),(1,11),(2,7),(2,11),(3,8),(3,9),(4,5),(5,6),(5,11),(6,7),(7,8),(7,9),(8,10),(9,10),(11,8),(11,9)],12)
[9,6,5,2,3,8,4,7,1,12,10,11]=>([(0,10),(0,11),(1,10),(1,11),(2,8),(2,9),(3,8),(3,9),(4,6),(6,7),(6,9),(7,8),(8,10),(8,11),(9,10),(9,11),(11,5)],12)
[11,6,5,2,3,8,4,10,7,9,1,12]=>([(0,11),(1,11),(2,9),(2,10),(3,9),(3,10),(4,5),(5,6),(5,10),(6,7),(6,9),(7,11),(8,11),(9,8),(10,7),(10,8)],12)
[1,6,5,2,3,8,4,10,7,12,9,11]=>([(0,2),(0,3),(0,5),(1,6),(1,10),(2,10),(2,11),(3,10),(3,11),(4,1),(4,11),(5,4),(6,8),(6,9),(7,9),(10,7),(10,8),(11,6),(11,7)],12)
[1,6,5,2,3,8,4,12,11,7,9,10]=>([(0,3),(0,4),(0,6),(2,7),(2,8),(2,10),(3,10),(3,11),(4,10),(4,11),(5,2),(5,11),(6,5),(9,1),(10,9),(11,7),(11,8),(11,9)],12)
[11,6,5,2,3,10,9,4,7,8,1,12]=>([(0,11),(1,11),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,6),(5,11),(6,7),(6,9),(6,10),(7,8),(8,5),(9,11),(10,11)],12)
[1,6,5,2,3,10,9,4,7,12,8,11]=>([(0,3),(0,4),(0,6),(1,9),(2,11),(3,7),(3,8),(3,11),(4,7),(4,8),(4,11),(5,2),(5,7),(5,8),(6,5),(7,9),(7,10),(8,9),(8,10),(11,1),(11,10)],12)
[1,6,5,2,3,12,9,4,11,7,8,10]=>([(0,3),(0,4),(0,6),(1,7),(2,8),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,2),(5,9),(5,10),(6,5),(10,7),(10,8),(11,1)],12)
[1,6,5,2,3,12,11,10,4,7,8,9]=>([(0,3),(0,4),(0,7),(2,8),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,2),(5,9),(5,10),(5,11),(6,1),(7,5),(8,6)],12)
[9,8,5,2,7,3,4,6,11,10,1,12]=>([(0,10),(0,11),(1,10),(1,11),(2,9),(3,7),(3,8),(4,5),(4,7),(5,6),(6,8),(7,10),(7,11),(8,10),(8,11),(10,9),(11,9)],12)
[9,8,5,2,7,3,4,6,1,12,10,11]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,8),(3,9),(4,6),(4,8),(6,7),(7,9),(8,10),(8,11),(9,10),(9,11),(11,5)],12)
[11,8,5,2,7,3,4,10,6,9,1,12]=>([(0,11),(1,11),(2,9),(2,10),(3,7),(3,8),(4,5),(4,8),(5,6),(6,7),(6,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[1,8,5,2,7,3,4,10,6,12,9,11]=>([(0,2),(0,3),(0,5),(1,6),(1,10),(2,10),(2,11),(3,6),(3,7),(4,1),(5,4),(5,7),(6,9),(6,11),(7,10),(7,11),(10,8),(10,9),(11,8)],12)
[1,8,5,2,7,3,4,12,11,6,9,10]=>([(0,3),(0,4),(0,6),(2,7),(2,9),(2,10),(3,9),(3,10),(3,11),(4,7),(4,8),(5,2),(6,5),(6,8),(7,11),(8,9),(8,10),(8,11),(11,1)],12)
[11,10,5,2,7,3,9,4,6,8,1,12]=>([(0,11),(1,11),(2,11),(3,7),(3,8),(4,5),(4,7),(5,6),(5,10),(6,8),(7,9),(7,10),(8,9),(9,11),(10,11)],12)
[1,10,5,2,7,3,9,4,6,12,8,11]=>([(0,2),(0,3),(0,5),(1,7),(2,10),(2,11),(3,6),(3,7),(4,1),(4,8),(5,4),(5,6),(6,8),(6,9),(7,9),(7,11),(8,10),(8,11),(9,10)],12)
[1,12,5,2,7,3,9,4,11,6,8,10]=>([(0,1),(0,3),(0,5),(2,4),(2,11),(3,2),(3,10),(4,7),(4,9),(5,9),(5,10),(8,6),(9,8),(10,8),(10,11),(11,6),(11,7)],12)
[1,12,5,2,7,3,11,10,4,6,8,9]=>([(0,3),(0,4),(0,6),(2,7),(4,7),(4,8),(5,2),(5,9),(5,10),(6,5),(6,8),(7,11),(8,9),(8,10),(8,11),(11,1)],12)
[11,10,5,2,9,8,3,4,6,7,1,12]=>([(0,11),(1,11),(2,11),(3,8),(3,9),(3,10),(4,5),(4,8),(4,9),(5,7),(6,11),(7,10),(8,11),(9,11),(10,6)],12)
[1,10,5,2,9,8,3,4,6,12,7,11]=>([(0,3),(0,4),(0,6),(1,9),(2,10),(3,10),(3,11),(4,7),(4,8),(4,9),(5,1),(6,5),(6,7),(6,8),(7,10),(7,11),(8,10),(8,11),(9,2),(9,11)],12)
[1,12,5,2,9,8,3,4,11,6,7,10]=>([(0,3),(0,4),(0,6),(1,10),(2,9),(2,11),(4,7),(4,8),(4,9),(5,2),(6,5),(6,7),(6,8),(7,10),(7,11),(8,10),(8,11),(9,1)],12)
[1,12,5,2,11,8,3,10,4,6,7,9]=>([(0,3),(0,4),(0,6),(1,9),(2,11),(4,7),(4,8),(4,11),(5,2),(5,10),(6,5),(6,7),(6,8),(8,9),(8,10),(11,1)],12)
[1,12,5,2,11,10,9,3,4,6,7,8]=>([(0,3),(0,4),(0,7),(2,8),(4,8),(4,9),(4,10),(4,11),(5,2),(6,1),(7,5),(7,9),(7,10),(7,11),(8,6)],12)
[9,8,7,6,2,3,4,5,11,10,1,12]=>([(0,6),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,9),(6,8),(7,10),(7,11),(8,7),(10,9),(11,9)],12)
[9,8,7,6,2,3,4,5,1,12,10,11]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,7),(7,8),(8,9),(9,10),(9,11),(11,6)],12)
[11,8,7,6,2,3,4,10,5,9,1,12]=>([(0,9),(1,9),(2,6),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,8),(7,10),(8,7),(8,11),(10,9),(11,9)],12)
[1,8,7,6,2,3,4,10,5,12,9,11]=>([(0,2),(0,3),(0,4),(0,7),(1,8),(1,10),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,6),(6,1),(6,11),(7,5),(10,9),(11,8),(11,9)],12)
[1,8,7,6,2,3,4,12,11,5,9,10]=>([(0,3),(0,4),(0,5),(0,8),(1,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(7,1),(7,9),(7,10),(8,6),(11,2)],12)
[11,10,7,6,2,3,9,4,5,8,1,12]=>([(0,6),(1,11),(2,11),(3,11),(4,9),(4,10),(5,9),(5,10),(6,8),(6,9),(7,10),(8,7),(9,11),(10,11)],12)
[1,10,7,6,2,3,9,4,5,12,8,11]=>([(0,2),(0,3),(0,4),(0,7),(1,9),(1,10),(2,10),(2,11),(3,8),(3,9),(4,8),(4,9),(5,1),(6,5),(6,8),(7,6),(8,10),(8,11),(9,11)],12)
[1,12,7,6,2,3,9,4,11,5,8,10]=>([(0,2),(0,3),(0,4),(0,7),(1,10),(3,10),(3,11),(4,10),(4,11),(5,6),(5,11),(6,1),(6,8),(7,5),(10,9),(11,8),(11,9)],12)
[1,12,7,6,2,3,11,10,4,5,8,9]=>([(0,3),(0,4),(0,5),(0,8),(2,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,2),(7,6),(7,9),(7,10),(8,7),(11,1)],12)
[11,10,9,6,2,8,3,4,5,7,1,12]=>([(0,11),(1,11),(2,11),(3,11),(4,9),(4,10),(5,6),(5,9),(6,8),(7,10),(8,7),(9,11),(10,11)],12)
[1,10,9,6,2,8,3,4,5,12,7,11]=>([(0,2),(0,3),(0,4),(0,7),(1,8),(1,10),(2,10),(2,11),(3,10),(3,11),(4,8),(4,9),(5,6),(6,1),(7,5),(7,9),(8,11),(9,10),(9,11)],12)
[1,12,9,6,2,8,3,4,11,5,7,10]=>([(0,2),(0,3),(0,4),(0,7),(1,8),(3,10),(3,11),(4,8),(4,9),(5,6),(6,1),(6,10),(7,5),(7,9),(8,11),(9,10),(9,11)],12)
[1,12,11,6,2,8,3,10,4,5,7,9]=>([(0,2),(0,3),(0,4),(0,7),(1,9),(4,8),(4,9),(5,6),(5,10),(6,1),(7,5),(7,8),(8,10),(8,11),(9,11)],12)
[1,12,11,6,2,10,9,3,4,5,7,8]=>([(0,3),(0,4),(0,5),(0,8),(2,11),(5,9),(5,10),(5,11),(6,7),(7,2),(8,6),(8,9),(8,10),(11,1)],12)
[11,10,9,8,7,2,3,4,5,6,1,12]=>([(0,7),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,10),(8,11),(9,8),(10,9)],12)
[1,10,9,8,7,2,3,4,5,12,6,11]=>([(0,2),(0,3),(0,4),(0,5),(0,9),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,7),(7,8),(8,1),(8,10),(9,6)],12)
[1,12,9,8,7,2,3,4,11,5,6,10]=>([(0,2),(0,3),(0,4),(0,5),(0,9),(1,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,8),(7,1),(8,7),(8,10),(9,6)],12)
[1,12,11,8,7,2,3,10,4,5,6,9]=>([(0,2),(0,3),(0,4),(0,5),(0,9),(1,11),(4,10),(4,11),(5,10),(5,11),(6,7),(7,1),(8,6),(8,10),(9,8)],12)
[1,12,11,10,7,2,9,3,4,5,6,8]=>([(0,2),(0,3),(0,4),(0,5),(0,9),(1,11),(5,10),(5,11),(6,8),(7,1),(8,7),(9,6),(9,10)],12)
[1,12,11,10,9,8,2,3,4,5,6,7]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,11),(7,10),(8,1),(9,8),(10,9),(11,7)],12)
[3,2,5,4,7,6,9,8,1,12,11,10]=>([(0,9),(0,10),(0,11),(1,7),(1,8),(2,7),(2,8),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,3),(5,4),(6,3),(6,4),(7,5),(7,6),(8,5),(8,6)],12)
[3,2,5,4,7,6,11,10,9,8,1,12]=>([(0,11),(1,7),(1,8),(2,7),(2,8),(3,11),(4,11),(5,11),(6,11),(7,9),(7,10),(8,9),(8,10),(9,3),(9,4),(9,5),(9,6),(10,3),(10,4),(10,5),(10,6)],12)
[3,2,5,4,7,6,1,10,9,12,11,8]=>([(0,9),(0,10),(0,11),(1,7),(1,8),(2,7),(2,8),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(7,3),(7,4),(8,3),(8,4),(10,5),(10,6),(11,5),(11,6)],12)
[3,2,5,4,7,6,1,12,11,10,9,8]=>([(0,3),(0,4),(1,3),(1,4),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(4,5),(4,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11)],12)
[3,2,5,4,9,8,7,6,11,10,1,12]=>([(0,9),(1,7),(1,8),(2,7),(2,8),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,3),(7,4),(7,5),(7,6),(8,3),(8,4),(8,5),(8,6),(10,9),(11,9)],12)
[3,2,5,4,9,8,7,6,1,12,11,10]=>([(0,9),(0,10),(0,11),(1,7),(1,8),(2,7),(2,8),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,3),(7,4),(7,5),(7,6),(8,3),(8,4),(8,5),(8,6)],12)
[3,2,5,4,11,8,7,10,9,6,1,12]=>([(0,11),(1,9),(1,10),(2,9),(2,10),(3,11),(4,11),(5,11),(6,11),(7,5),(7,6),(8,5),(8,6),(9,3),(9,4),(9,7),(9,8),(10,3),(10,4),(10,7),(10,8)],12)
[3,2,5,4,1,8,7,10,9,12,11,6]=>([(0,9),(0,10),(0,11),(1,5),(1,6),(2,5),(2,6),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,3),(7,4),(8,3),(8,4),(10,7),(10,8),(11,7),(11,8)],12)
[3,2,5,4,1,8,7,12,11,10,9,6]=>([(0,9),(0,10),(0,11),(1,7),(1,8),(2,7),(2,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(10,3),(10,4),(10,5),(10,6),(11,3),(11,4),(11,5),(11,6)],12)
[3,2,5,4,11,10,9,8,7,6,1,12]=>([(0,11),(1,9),(1,10),(2,9),(2,10),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,3),(9,4),(9,5),(9,6),(9,7),(9,8),(10,3),(10,4),(10,5),(10,6),(10,7),(10,8)],12)
[3,2,5,4,1,10,9,8,7,12,11,6]=>([(0,3),(0,4),(1,3),(1,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,2,5,4,1,12,9,8,11,10,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,7),(2,8),(2,9),(2,10),(2,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(10,3),(10,4),(11,3),(11,4)],12)
[3,2,5,4,1,12,11,10,9,8,7,6]=>([(0,3),(0,4),(1,3),(1,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11)],12)
[3,2,7,6,5,4,9,8,11,10,1,12]=>([(0,9),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,9),(4,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(10,3),(10,4),(11,3),(11,4)],12)
[3,2,7,6,5,4,9,8,1,12,11,10]=>([(0,7),(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(10,7),(10,8),(10,9),(11,7),(11,8),(11,9)],12)
[3,2,7,6,5,4,11,10,9,8,1,12]=>([(0,11),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[3,2,7,6,5,4,1,10,9,12,11,8]=>([(0,9),(0,10),(0,11),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(10,3),(10,4),(11,3),(11,4)],12)
[3,2,7,6,5,4,1,12,11,10,9,8]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11)],12)
[3,2,9,6,5,8,7,4,11,10,1,12]=>([(0,9),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,3),(7,4),(8,3),(8,4),(10,9),(11,9)],12)
[3,2,9,6,5,8,7,4,1,12,11,10]=>([(0,9),(0,10),(0,11),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,3),(7,4),(8,3),(8,4)],12)
[3,2,11,6,5,8,7,10,9,4,1,12]=>([(0,11),(1,5),(1,6),(1,9),(1,10),(2,5),(2,6),(2,9),(2,10),(3,11),(4,11),(5,11),(6,11),(7,3),(7,4),(8,3),(8,4),(9,7),(9,8),(10,7),(10,8)],12)
[3,2,1,6,5,8,7,10,9,12,11,4]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(5,3),(5,4),(6,3),(6,4),(7,5),(7,6),(8,5),(8,6),(10,7),(10,8),(11,7),(11,8)],12)
[3,2,1,6,5,8,7,12,11,10,9,4]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(7,3),(7,4),(7,5),(7,6),(8,3),(8,4),(8,5),(8,6),(10,7),(10,8),(11,7),(11,8)],12)
[3,2,11,6,5,10,9,8,7,4,1,12]=>([(0,11),(1,7),(1,8),(1,9),(1,10),(2,7),(2,8),(2,9),(2,10),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,3),(9,4),(9,5),(9,6),(10,3),(10,4),(10,5),(10,6)],12)
[3,2,1,6,5,10,9,8,7,12,11,4]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(8,3),(8,4),(8,5),(8,6),(9,3),(9,4),(9,5),(9,6)],12)
[3,2,1,6,5,12,9,8,11,10,7,4]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(7,3),(7,4),(8,3),(8,4),(10,5),(10,6),(10,7),(10,8),(11,5),(11,6),(11,7),(11,8)],12)
[3,2,1,6,5,12,11,10,9,8,7,4]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(10,3),(10,4),(10,5),(10,6),(10,7),(10,8),(11,3),(11,4),(11,5),(11,6),(11,7),(11,8)],12)
[3,2,9,8,7,6,5,4,11,10,1,12]=>([(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(10,9),(11,9)],12)
[3,2,9,8,7,6,5,4,1,12,11,10]=>([(0,9),(0,10),(0,11),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[3,2,11,8,7,6,5,10,9,4,1,12]=>([(0,11),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,11),(4,11),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[3,2,1,8,7,6,5,10,9,12,11,4]=>([(0,5),(0,6),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,3),(10,4),(11,3),(11,4)],12)
[3,2,1,8,7,6,5,12,11,10,9,4]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[3,2,11,10,7,6,9,8,5,4,1,12]=>([(0,11),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,3),(9,4),(10,3),(10,4)],12)
[3,2,1,10,7,6,9,8,5,12,11,4]=>([(0,5),(0,6),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,10),(3,11),(4,10),(4,11),(6,10),(6,11),(7,10),(7,11),(8,3),(8,4),(9,3),(9,4)],12)
[3,2,1,12,7,6,9,8,11,10,5,4]=>([(0,7),(0,8),(0,9),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(4,5),(4,6),(10,3),(10,4),(11,3),(11,4)],12)
[3,2,1,12,7,6,11,10,9,8,5,4]=>([(0,7),(0,8),(0,9),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(10,3),(10,4),(10,5),(10,6),(11,3),(11,4),(11,5),(11,6)],12)
[3,2,11,10,9,8,7,6,5,4,1,12]=>([(0,11),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[3,2,1,10,9,8,7,6,5,12,11,4]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,2,1,12,9,8,7,6,11,10,5,4]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,2,1,12,11,8,7,10,9,6,5,4]=>([(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(10,3),(10,4),(11,3),(11,4)],12)
[3,2,1,12,11,10,9,8,7,6,5,4]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11)],12)
[5,4,3,2,7,6,9,8,11,10,1,12]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,9),(5,7),(5,8),(6,7),(6,8),(7,9),(8,9),(10,5),(10,6),(11,5),(11,6)],12)
[5,4,3,2,7,6,9,8,1,12,11,10]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(10,5),(10,6),(11,5),(11,6)],12)
[5,4,3,2,7,6,11,10,9,8,1,12]=>([(0,11),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,11),(6,11),(7,11),(8,11),(9,5),(9,6),(9,7),(9,8),(10,5),(10,6),(10,7),(10,8)],12)
[5,4,3,2,7,6,1,10,9,12,11,8]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,7),(4,8),(4,9),(8,5),(8,6),(9,5),(9,6),(10,7),(10,8),(10,9),(11,7),(11,8),(11,9)],12)
[5,4,3,2,7,6,1,12,11,10,9,8]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(10,5),(10,6),(10,7),(10,8),(10,9),(11,5),(11,6),(11,7),(11,8),(11,9)],12)
[5,4,3,2,9,8,7,6,11,10,1,12]=>([(0,5),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(6,5),(7,5),(8,6),(8,7),(9,6),(9,7),(10,6),(10,7),(11,6),(11,7)],12)
[5,4,3,2,9,8,7,6,1,12,11,10]=>([(0,9),(0,10),(0,11),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[5,4,3,2,11,8,7,10,9,6,1,12]=>([(0,11),(1,7),(1,8),(1,9),(1,10),(2,7),(2,8),(2,9),(2,10),(3,7),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,11),(6,11),(7,11),(8,11),(9,5),(9,6),(10,5),(10,6)],12)
[5,4,3,2,1,8,7,10,9,12,11,6]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,7),(5,8),(6,7),(6,8),(10,5),(10,6),(11,5),(11,6)],12)
[5,4,3,2,1,8,7,12,11,10,9,6]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(10,5),(10,6),(10,7),(10,8),(11,5),(11,6),(11,7),(11,8)],12)
[5,4,3,2,11,10,9,8,7,6,1,12]=>([(0,11),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[5,4,3,2,1,10,9,8,7,12,11,6]=>([(0,7),(0,8),(0,9),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(8,5),(8,6),(9,5),(9,6),(10,5),(10,6),(11,5),(11,6)],12)
[5,4,3,2,1,12,9,8,11,10,7,6]=>([(0,7),(0,8),(0,9),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(10,5),(10,6),(11,5),(11,6)],12)
[5,4,3,2,1,12,11,10,9,8,7,6]=>([(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11)],12)
[7,4,3,6,5,2,9,8,11,10,1,12]=>([(0,10),(0,11),(1,10),(1,11),(2,9),(3,5),(3,6),(4,5),(4,6),(5,10),(5,11),(6,10),(6,11),(7,9),(8,9),(10,7),(10,8),(11,7),(11,8)],12)
[7,4,3,6,5,2,9,8,1,12,11,10]=>([(0,10),(0,11),(1,10),(1,11),(2,7),(2,8),(2,9),(3,5),(3,6),(4,5),(4,6),(5,10),(5,11),(6,10),(6,11),(10,7),(10,8),(10,9),(11,7),(11,8),(11,9)],12)
[7,4,3,6,5,2,11,10,9,8,1,12]=>([(0,11),(1,7),(1,8),(1,9),(1,10),(2,7),(2,8),(2,9),(2,10),(3,5),(3,6),(4,5),(4,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[7,4,3,6,5,2,1,10,9,12,11,8]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,5),(3,6),(4,5),(4,6),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(10,7),(10,8),(11,7),(11,8)],12)
[7,4,3,6,5,2,1,12,11,10,9,8]=>([(0,7),(0,8),(0,9),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(4,5),(4,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11)],12)
[9,4,3,6,5,8,7,2,11,10,1,12]=>([(0,10),(0,11),(1,10),(1,11),(2,9),(3,5),(3,6),(4,5),(4,6),(5,7),(5,8),(6,7),(6,8),(7,10),(7,11),(8,10),(8,11),(10,9),(11,9)],12)
[9,4,3,6,5,8,7,2,1,12,11,10]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,5),(3,6),(4,5),(4,6),(5,7),(5,8),(6,7),(6,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[11,4,3,6,5,8,7,10,9,2,1,12]=>([(0,11),(1,11),(2,11),(3,9),(3,10),(4,9),(4,10),(5,11),(6,11),(7,5),(7,6),(8,5),(8,6),(9,7),(9,8),(10,7),(10,8)],12)
[1,4,3,6,5,8,7,10,9,12,11,2]=>([(0,1),(0,2),(0,3),(2,10),(2,11),(3,10),(3,11),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)
[1,4,3,6,5,8,7,12,11,10,9,2]=>([(0,1),(0,2),(0,3),(2,8),(2,9),(3,8),(3,9),(8,10),(8,11),(9,10),(9,11),(10,4),(10,5),(10,6),(10,7),(11,4),(11,5),(11,6),(11,7)],12)
[11,4,3,6,5,10,9,8,7,2,1,12]=>([(0,11),(1,11),(2,11),(3,9),(3,10),(4,9),(4,10),(5,11),(6,11),(7,11),(8,11),(9,5),(9,6),(9,7),(9,8),(10,5),(10,6),(10,7),(10,8)],12)
[1,4,3,6,5,10,9,8,7,12,11,2]=>([(0,1),(0,2),(0,3),(2,8),(2,9),(3,8),(3,9),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,4),(8,5),(8,6),(8,7),(9,4),(9,5),(9,6),(9,7)],12)
[1,4,3,6,5,12,9,8,11,10,7,2]=>([(0,1),(0,2),(0,3),(2,10),(2,11),(3,10),(3,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(10,8),(10,9),(11,4),(11,5),(11,8),(11,9)],12)
[1,4,3,6,5,12,11,10,9,8,7,2]=>([(0,1),(0,2),(0,3),(2,10),(2,11),(3,10),(3,11),(10,4),(10,5),(10,6),(10,7),(10,8),(10,9),(11,4),(11,5),(11,6),(11,7),(11,8),(11,9)],12)
[9,4,3,8,7,6,5,2,11,10,1,12]=>([(0,10),(0,11),(1,10),(1,11),(2,9),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(10,9),(11,9)],12)
[9,4,3,8,7,6,5,2,1,12,11,10]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[11,4,3,8,7,6,5,10,9,2,1,12]=>([(0,11),(1,11),(2,11),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[1,4,3,8,7,6,5,10,9,12,11,2]=>([(0,1),(0,2),(0,3),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,4),(10,5),(11,4),(11,5)],12)
[1,4,3,8,7,6,5,12,11,10,9,2]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[11,4,3,10,7,6,9,8,5,2,1,12]=>([(0,11),(1,11),(2,11),(3,7),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,11),(6,11),(7,11),(8,11),(9,5),(9,6),(10,5),(10,6)],12)
[1,4,3,10,7,6,9,8,5,12,11,2]=>([(0,1),(0,2),(0,3),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,4),(8,5),(9,4),(9,5)],12)
[1,4,3,12,7,6,9,8,11,10,5,2]=>([(0,1),(0,2),(0,3),(2,6),(2,7),(2,10),(2,11),(3,6),(3,7),(3,10),(3,11),(8,4),(8,5),(9,4),(9,5),(10,8),(10,9),(11,8),(11,9)],12)
[1,4,3,12,7,6,11,10,9,8,5,2]=>([(0,1),(0,2),(0,3),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(10,4),(10,5),(10,6),(10,7),(11,4),(11,5),(11,6),(11,7)],12)
[11,4,3,10,9,8,7,6,5,2,1,12]=>([(0,11),(1,11),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[1,4,3,10,9,8,7,6,5,12,11,2]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,4,3,12,9,8,7,6,11,10,5,2]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,4,3,12,11,8,7,10,9,6,5,2]=>([(0,1),(0,2),(0,3),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(10,4),(10,5),(11,4),(11,5)],12)
[1,4,3,12,11,10,9,8,7,6,5,2]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11)],12)
[7,6,5,4,3,2,9,8,11,10,1,12]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(7,9),(8,9),(10,7),(10,8),(11,7),(11,8)],12)
[7,6,5,4,3,2,9,8,1,12,11,10]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,7),(6,8),(6,9),(10,7),(10,8),(10,9),(11,7),(11,8),(11,9)],12)
[7,6,5,4,3,2,11,10,9,8,1,12]=>([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(8,7),(9,7),(10,7),(11,7)],12)
[7,6,5,4,3,2,1,10,9,12,11,8]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(10,7),(10,8),(11,7),(11,8)],12)
[7,6,5,4,3,2,1,12,11,10,9,8]=>([(0,7),(0,8),(0,9),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11)],12)
[9,6,5,4,3,8,7,2,11,10,1,12]=>([(0,10),(0,11),(1,10),(1,11),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,7),(8,10),(8,11),(9,10),(9,11),(10,7),(11,7)],12)
[9,6,5,4,3,8,7,2,1,12,11,10]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[11,6,5,4,3,8,7,10,9,2,1,12]=>([(0,11),(1,11),(2,11),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,11),(8,11),(9,7),(9,8),(10,7),(10,8)],12)
[1,6,5,4,3,8,7,10,9,12,11,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,8),(6,9),(7,8),(7,9),(10,6),(10,7),(11,6),(11,7)],12)
[1,6,5,4,3,8,7,12,11,10,9,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(10,6),(10,7),(10,8),(10,9),(11,6),(11,7),(11,8),(11,9)],12)
[11,6,5,4,3,10,9,8,7,2,1,12]=>([(0,11),(1,11),(2,11),(3,7),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[1,6,5,4,3,10,9,8,7,12,11,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(8,6),(8,7),(9,6),(9,7),(10,6),(10,7),(11,6),(11,7)],12)
[1,6,5,4,3,12,9,8,11,10,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(10,6),(10,7),(11,6),(11,7)],12)
[1,6,5,4,3,12,11,10,9,8,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[9,8,5,4,7,6,3,2,11,10,1,12]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,9),(5,7),(5,8),(6,7),(6,8),(7,10),(7,11),(8,10),(8,11),(10,9),(11,9)],12)
[9,8,5,4,7,6,3,2,1,12,11,10]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,7),(5,8),(6,7),(6,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[11,8,5,4,7,6,3,10,9,2,1,12]=>([(0,11),(1,11),(2,11),(3,9),(3,10),(4,9),(4,10),(5,7),(5,8),(6,7),(6,8),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[1,8,5,4,7,6,3,10,9,12,11,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,10),(2,11),(3,10),(3,11),(4,6),(4,7),(5,6),(5,7),(6,10),(6,11),(7,10),(7,11),(10,8),(10,9),(11,8),(11,9)],12)
[1,8,5,4,7,6,3,12,11,10,9,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(5,6),(5,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[11,10,5,4,7,6,9,8,3,2,1,12]=>([(0,11),(1,11),(2,11),(3,11),(4,11),(5,7),(5,8),(6,7),(6,8),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[1,10,5,4,7,6,9,8,3,12,11,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,10),(2,11),(3,10),(3,11),(4,6),(4,7),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[1,12,5,4,7,6,9,8,11,10,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,10),(4,11),(5,10),(5,11),(8,6),(8,7),(9,6),(9,7),(10,8),(10,9),(11,8),(11,9)],12)
[1,12,5,4,7,6,11,10,9,8,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,10),(4,11),(5,10),(5,11),(10,6),(10,7),(10,8),(10,9),(11,6),(11,7),(11,8),(11,9)],12)
[11,10,5,4,9,8,7,6,3,2,1,12]=>([(0,11),(1,11),(2,11),(3,11),(4,11),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[1,10,5,4,9,8,7,6,3,12,11,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,10),(2,11),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,12,5,4,9,8,7,6,11,10,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,12,5,4,11,8,7,10,9,6,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(10,6),(10,7),(11,6),(11,7)],12)
[1,12,5,4,11,10,9,8,7,6,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[9,8,7,6,5,4,3,2,11,10,1,12]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,9),(10,9),(11,9)],12)
[9,8,7,6,5,4,3,2,1,12,11,10]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[11,8,7,6,5,4,3,10,9,2,1,12]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(7,9),(8,9),(10,9),(11,9)],12)
[1,8,7,6,5,4,3,10,9,12,11,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(10,8),(10,9),(11,8),(11,9)],12)
[1,8,7,6,5,4,3,12,11,10,9,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[11,10,7,6,5,4,9,8,3,2,1,12]=>([(0,11),(1,11),(2,11),(3,11),(4,11),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[1,10,7,6,5,4,9,8,3,12,11,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(2,10),(2,11),(3,10),(3,11),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[1,12,7,6,5,4,9,8,11,10,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(10,8),(10,9),(11,8),(11,9)],12)
[1,12,7,6,5,4,11,10,9,8,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[11,10,9,6,5,8,7,4,3,2,1,12]=>([(0,11),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[1,10,9,6,5,8,7,4,3,12,11,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,8),(6,9),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[1,12,9,6,5,8,7,4,11,10,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(4,10),(4,11),(5,10),(5,11),(6,8),(6,9),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[1,12,11,6,5,8,7,10,9,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(6,8),(6,9),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[1,12,11,6,5,10,9,8,7,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[11,10,9,8,7,6,5,4,3,2,1,12]=>([(0,11),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[1,10,9,8,7,6,5,4,3,12,11,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,12,9,8,7,6,5,4,11,10,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,12,11,8,7,6,5,10,9,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,12,11,10,7,6,9,8,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(8,10),(8,11),(9,10),(9,11)],12)
[1,12,11,10,9,8,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11)],12)
[2,3,4,5,6,7,8,9,10,11,12,1]=>([(1,11),(3,4),(4,6),(5,3),(6,8),(7,5),(8,10),(9,7),(10,2),(11,9)],12)
[1,3,4,5,6,7,8,9,10,11,12,2]=>([(0,2),(0,11),(3,4),(4,6),(5,3),(6,8),(7,5),(8,10),(9,7),(10,1),(11,9)],12)
[2,1,4,3,6,5,8,7,10,12,11,9]=>([(0,10),(0,11),(1,10),(1,11),(5,2),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)
[2,1,4,3,6,5,8,10,9,7,12,11]=>([(0,8),(0,9),(1,8),(1,9),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],12)
[2,1,4,3,6,5,10,12,9,11,7,8]=>([(0,8),(0,9),(1,8),(1,9),(5,3),(6,4),(7,2),(7,4),(8,10),(8,11),(9,10),(9,11),(10,5),(10,6),(10,7),(11,5),(11,6),(11,7)],12)
[2,1,4,3,6,5,8,9,12,10,11,7]=>([(0,10),(0,11),(1,10),(1,11),(2,4),(2,5),(5,3),(7,2),(8,6),(8,7),(9,6),(9,7),(10,8),(10,9),(11,8),(11,9)],12)
[2,1,4,3,6,8,7,5,10,9,12,11]=>([(0,8),(0,9),(1,8),(1,9),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(7,2),(7,3),(8,4),(8,7),(9,4),(9,7),(10,5),(10,6),(11,5),(11,6)],12)
[2,1,4,3,6,8,7,5,10,12,11,9]=>([(0,7),(0,8),(1,7),(1,8),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,6),(7,9),(8,6),(8,9),(9,4),(9,5),(11,2),(11,3)],12)
[2,1,4,3,8,10,7,9,5,6,12,11]=>([(0,8),(0,9),(1,8),(1,9),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,3),(6,4),(7,2),(7,4),(8,5),(8,6),(8,7),(9,5),(9,6),(9,7)],12)
[2,1,4,3,10,9,7,12,6,11,5,8]=>([(0,7),(0,8),(1,7),(1,8),(2,10),(3,9),(3,11),(4,9),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,2),(7,3),(7,4),(7,5),(7,6),(8,2),(8,3),(8,4),(8,5),(8,6)],12)
[2,1,4,3,8,9,7,12,10,6,11,5]=>([(0,10),(0,11),(1,10),(1,11),(2,6),(2,8),(5,2),(7,4),(8,4),(9,6),(9,8),(10,3),(10,5),(10,7),(10,9),(11,3),(11,5),(11,7),(11,9)],12)
[2,1,4,3,6,7,10,8,9,5,12,11]=>([(0,8),(0,9),(1,8),(1,9),(2,10),(2,11),(3,10),(3,11),(4,3),(5,2),(5,4),(6,5),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7)],12)
[2,1,4,3,10,7,12,8,9,11,5,6]=>([(0,10),(0,11),(1,10),(1,11),(3,4),(4,6),(7,2),(8,3),(8,5),(9,5),(9,6),(10,7),(10,8),(10,9),(11,7),(11,8),(11,9)],12)
[2,1,4,3,6,9,12,8,11,10,5,7]=>([(0,10),(0,11),(1,10),(1,11),(3,6),(3,7),(4,2),(4,6),(4,7),(8,5),(9,3),(9,4),(9,5),(10,8),(10,9),(11,8),(11,9)],12)
[2,1,4,3,6,7,8,12,9,10,11,5]=>([(0,9),(0,10),(1,9),(1,10),(4,7),(5,6),(6,2),(7,3),(7,5),(9,8),(9,11),(10,8),(10,11),(11,4)],12)
[2,1,4,6,5,3,8,7,10,9,12,11]=>([(0,6),(0,7),(1,6),(1,7),(2,10),(2,11),(3,10),(3,11),(6,10),(6,11),(7,2),(7,3),(8,4),(8,5),(9,4),(9,5),(10,8),(10,9),(11,8),(11,9)],12)
[2,1,4,6,5,3,8,7,10,12,11,9]=>([(0,7),(0,9),(1,7),(1,9),(4,10),(4,11),(5,10),(5,11),(7,10),(7,11),(8,2),(8,3),(9,4),(9,5),(10,6),(10,8),(11,6),(11,8)],12)
[2,1,4,6,5,3,8,10,9,7,12,11]=>([(0,6),(0,7),(1,6),(1,7),(2,10),(2,11),(3,10),(3,11),(4,8),(4,9),(5,8),(5,9),(6,10),(6,11),(7,2),(7,3),(10,8),(10,9),(11,4),(11,5)],12)
[2,1,4,6,5,3,10,12,9,11,7,8]=>([(0,7),(0,8),(1,7),(1,8),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(7,9),(7,10),(7,11),(8,3),(8,4),(9,6),(10,5),(11,2),(11,6)],12)
[2,1,4,6,5,3,8,9,12,10,11,7]=>([(0,8),(0,9),(1,8),(1,9),(4,10),(4,11),(5,10),(5,11),(6,3),(7,2),(7,6),(8,10),(8,11),(9,4),(9,5),(11,7)],12)
[2,1,6,8,5,7,3,4,10,9,12,11]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(7,3),(8,4),(9,2),(9,4),(10,5),(10,6),(11,5),(11,6)],12)
[2,1,6,8,5,7,3,4,10,12,11,9]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,6),(8,5),(9,4),(9,6),(11,2),(11,3)],12)
[2,1,8,7,5,10,4,9,3,6,12,11]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,8),(3,7),(3,11),(4,7),(4,11),(5,8),(5,11),(6,7),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(11,9),(11,10)],12)
[2,1,10,7,5,9,4,12,6,11,3,8]=>([(0,4),(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,9),(2,10),(3,9),(3,11),(4,11),(5,9),(5,10),(6,3),(6,10),(7,2),(7,11),(8,2),(8,3)],12)
[2,1,8,7,5,9,4,12,10,6,11,3]=>([(0,4),(0,5),(0,6),(0,9),(0,10),(1,4),(1,5),(1,6),(1,9),(1,10),(5,11),(6,11),(7,2),(8,2),(9,7),(9,11),(10,3),(10,7),(10,8),(11,3),(11,8)],12)
[2,1,6,7,5,10,8,4,9,3,12,11]=>([(0,5),(0,6),(0,8),(0,9),(1,5),(1,6),(1,8),(1,9),(2,4),(2,7),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,2),(7,3),(8,3),(9,4),(9,7)],12)
[2,1,10,8,5,7,12,4,9,11,3,6]=>([(0,4),(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,10),(2,11),(4,10),(4,11),(5,9),(6,9),(6,11),(7,2),(7,9),(8,3),(8,10),(11,3)],12)
[2,1,6,9,5,8,12,3,11,10,4,7]=>([(0,5),(0,7),(0,8),(1,5),(1,7),(1,8),(2,11),(3,4),(3,9),(3,10),(5,2),(5,9),(5,10),(6,4),(6,9),(6,10),(7,6),(7,11),(8,3),(8,6),(8,11)],12)
[2,1,6,7,5,8,12,9,3,10,11,4]=>([(0,7),(0,9),(0,10),(1,7),(1,9),(1,10),(4,8),(6,11),(7,11),(8,2),(9,6),(10,5),(10,8),(11,3),(11,4)],12)
[2,1,4,5,8,6,7,3,10,9,12,11]=>([(0,8),(0,9),(1,8),(1,9),(2,10),(2,11),(3,10),(3,11),(4,3),(5,2),(5,4),(8,5),(9,10),(9,11),(10,6),(10,7),(11,6),(11,7)],12)
[2,1,4,5,8,6,7,3,10,12,11,9]=>([(0,8),(0,9),(1,8),(1,9),(4,10),(4,11),(5,10),(5,11),(6,5),(7,4),(7,6),(8,7),(9,10),(9,11),(11,2),(11,3)],12)
[2,1,8,5,10,6,7,9,3,4,12,11]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,4),(3,10),(3,11),(4,6),(5,10),(5,11),(6,10),(6,11),(7,3),(8,2),(8,5),(9,5),(9,6)],12)
[2,1,10,5,9,6,7,12,4,11,3,8]=>([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,4),(3,10),(3,11),(4,9),(4,10),(4,11),(5,10),(5,11),(6,9),(7,9),(7,11),(8,2),(8,3)],12)
[2,1,8,5,9,6,7,12,10,4,11,3]=>([(0,6),(0,8),(0,9),(0,10),(1,6),(1,8),(1,9),(1,10),(2,3),(3,5),(3,7),(7,4),(8,11),(9,4),(10,2),(10,11),(11,5),(11,7)],12)
[2,1,4,7,10,6,9,8,3,5,12,11]=>([(0,8),(0,9),(1,8),(1,9),(2,10),(2,11),(3,6),(3,7),(4,2),(4,6),(4,7),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,5),(9,3),(9,4),(9,5)],12)
[2,1,10,7,12,6,9,8,4,11,3,5]=>([(0,6),(0,7),(0,8),(0,9),(0,10),(1,6),(1,7),(1,8),(1,9),(1,10),(4,11),(5,11),(6,2),(7,2),(7,11),(8,3),(8,11),(9,4),(9,5),(10,3),(10,4),(10,5)],12)
[2,1,4,9,12,6,10,8,11,7,3,5]=>([(0,10),(0,11),(1,10),(1,11),(3,9),(5,4),(5,8),(6,2),(6,3),(6,8),(8,9),(10,7),(11,5),(11,6),(11,7)],12)
[2,1,4,7,8,6,12,10,9,5,11,3]=>([(0,9),(0,10),(1,9),(1,10),(2,5),(3,11),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(7,11),(8,11),(10,2),(10,3),(10,4)],12)
[2,1,4,5,6,10,7,8,9,3,12,11]=>([(0,8),(0,9),(1,8),(1,9),(2,10),(2,11),(3,10),(3,11),(4,7),(5,6),(6,2),(7,3),(7,5),(8,10),(8,11),(9,4)],12)
[2,1,10,5,6,12,7,8,9,11,3,4]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(3,8),(4,5),(5,3),(6,4),(6,7),(9,2),(10,7),(10,8),(11,6)],12)
[2,1,4,9,6,12,7,8,11,10,3,5]=>([(0,10),(0,11),(1,10),(1,11),(2,4),(3,2),(3,9),(4,7),(4,8),(5,7),(5,8),(5,9),(10,6),(11,3),(11,5),(11,6)],12)
[2,1,4,5,8,12,7,11,9,10,3,6]=>([(0,9),(0,10),(1,9),(1,10),(4,8),(4,11),(5,3),(5,8),(5,11),(6,4),(6,5),(6,7),(9,6),(10,7),(11,2)],12)
[2,1,4,5,6,7,12,8,9,10,11,3]=>([(0,10),(0,11),(1,10),(1,11),(4,8),(5,6),(6,9),(7,4),(8,2),(9,3),(9,7),(11,5)],12)
[2,4,3,1,6,5,8,7,10,9,12,11]=>([(0,10),(0,11),(1,2),(1,3),(2,10),(2,11),(3,10),(3,11),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7),(10,8),(10,9),(11,8),(11,9)],12)
[2,4,3,1,6,5,8,7,10,12,11,9]=>([(0,10),(0,11),(1,4),(1,5),(4,10),(4,11),(5,10),(5,11),(6,8),(6,9),(7,8),(7,9),(9,2),(9,3),(10,6),(10,7),(11,6),(11,7)],12)
[2,4,3,1,6,5,8,10,9,7,12,11]=>([(0,10),(0,11),(1,2),(1,3),(2,10),(2,11),(3,10),(3,11),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,4),(7,5),(10,6),(10,7),(11,6),(11,7)],12)
[2,4,3,1,6,5,10,12,9,11,7,8]=>([(0,10),(0,11),(1,4),(1,5),(4,10),(4,11),(5,10),(5,11),(6,7),(8,2),(9,3),(9,7),(10,6),(10,8),(10,9),(11,6),(11,8),(11,9)],12)
[2,4,3,1,6,5,8,9,12,10,11,7]=>([(0,10),(0,11),(1,4),(1,5),(4,10),(4,11),(5,10),(5,11),(6,3),(7,2),(7,6),(9,7),(10,8),(10,9),(11,8),(11,9)],12)
[2,4,3,1,6,8,7,5,10,9,12,11]=>([(0,10),(0,11),(1,2),(1,3),(2,10),(2,11),(3,10),(3,11),(4,8),(4,9),(5,8),(5,9),(8,6),(8,7),(9,6),(9,7),(10,8),(10,9),(11,4),(11,5)],12)
[2,4,3,1,6,8,7,5,10,12,11,9]=>([(0,9),(0,11),(1,4),(1,5),(4,9),(4,11),(5,9),(5,11),(6,8),(6,10),(7,8),(7,10),(9,8),(9,10),(10,2),(10,3),(11,6),(11,7)],12)
[2,4,3,1,8,10,7,9,5,6,12,11]=>([(0,4),(0,5),(1,7),(1,8),(1,9),(2,10),(2,11),(3,10),(3,11),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,10),(6,11),(7,6),(8,2),(9,3),(9,6)],12)
[2,4,3,1,10,9,7,12,6,11,5,8]=>([(0,2),(0,3),(1,6),(1,7),(1,8),(1,9),(1,10),(2,6),(2,7),(2,8),(2,9),(2,10),(3,6),(3,7),(3,8),(3,9),(3,10),(6,5),(7,4),(7,11),(8,4),(8,11),(9,5),(9,11),(10,4),(10,5),(10,11)],12)
[2,4,3,1,8,9,7,12,10,6,11,5]=>([(0,3),(0,4),(1,8),(1,9),(1,10),(1,11),(2,5),(2,6),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(6,7),(9,7),(10,2),(11,5),(11,6)],12)
[2,4,3,1,6,7,10,8,9,5,12,11]=>([(0,10),(0,11),(1,2),(1,3),(2,10),(2,11),(3,10),(3,11),(4,8),(4,9),(5,8),(5,9),(6,5),(7,4),(7,6),(10,7),(11,8),(11,9)],12)
[2,4,3,1,10,7,12,8,9,11,5,6]=>([(0,9),(0,10),(0,11),(1,3),(1,4),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,7),(6,5),(9,6),(9,8),(10,7),(10,8),(11,2)],12)
[2,4,3,1,6,9,12,8,11,10,5,7]=>([(0,10),(0,11),(1,3),(1,4),(3,10),(3,11),(4,10),(4,11),(5,7),(5,8),(6,2),(6,7),(6,8),(10,9),(11,5),(11,6),(11,9)],12)
[2,4,3,1,6,7,8,12,9,10,11,5]=>([(0,10),(0,11),(1,4),(1,5),(4,10),(4,11),(5,10),(5,11),(6,7),(7,3),(8,9),(9,2),(9,6),(11,8)],12)
[4,6,3,5,1,2,8,7,10,9,12,11]=>([(0,3),(1,7),(2,4),(2,7),(3,10),(3,11),(4,10),(4,11),(7,10),(7,11),(8,5),(8,6),(9,5),(9,6),(10,8),(10,9),(11,8),(11,9)],12)
[4,6,3,5,1,2,8,7,10,12,11,9]=>([(0,8),(1,5),(2,6),(2,8),(5,10),(5,11),(6,10),(6,11),(8,10),(8,11),(9,3),(9,4),(10,7),(10,9),(11,7),(11,9)],12)
[4,6,3,5,1,2,8,10,9,7,12,11]=>([(0,7),(1,5),(2,6),(2,7),(3,8),(3,9),(4,8),(4,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(10,8),(10,9),(11,3),(11,4)],12)
[4,6,3,5,1,2,10,12,9,11,7,8]=>([(0,8),(1,5),(2,6),(2,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(8,9),(8,10),(8,11),(9,7),(10,4),(11,3),(11,7)],12)
[4,6,3,5,1,2,8,9,12,10,11,7]=>([(0,9),(1,5),(2,6),(2,9),(5,10),(5,11),(6,10),(6,11),(7,4),(8,3),(8,7),(9,10),(9,11),(11,8)],12)
[6,5,3,8,2,7,1,4,10,9,12,11]=>([(0,8),(1,7),(1,11),(2,7),(2,11),(3,8),(3,11),(4,7),(4,8),(4,11),(7,9),(7,10),(8,9),(8,10),(9,5),(9,6),(10,5),(10,6),(11,9),(11,10)],12)
[6,5,3,8,2,7,1,4,10,12,11,9]=>([(0,8),(1,7),(1,11),(2,7),(2,11),(3,8),(3,11),(4,7),(4,8),(4,11),(7,9),(7,10),(8,9),(8,10),(10,5),(10,6),(11,9),(11,10)],12)
[8,5,3,7,2,10,4,9,1,6,12,11]=>([(0,9),(1,10),(1,11),(2,6),(2,9),(3,5),(3,10),(4,5),(4,6),(5,9),(5,11),(6,10),(6,11),(9,7),(9,8),(10,7),(10,8),(11,7),(11,8)],12)
[10,5,3,7,2,9,4,12,6,11,1,8]=>([(0,10),(1,9),(1,11),(2,5),(2,7),(3,6),(3,8),(4,5),(4,6),(5,8),(5,10),(6,7),(6,11),(7,9),(7,10),(8,9),(8,11)],12)
[8,5,3,7,2,9,4,12,10,6,11,1]=>([(1,11),(2,10),(2,11),(3,6),(3,10),(4,6),(4,8),(6,11),(8,5),(9,5),(10,7),(10,8),(10,9),(11,7),(11,9)],12)
[6,5,3,7,2,10,8,4,9,1,12,11]=>([(0,9),(1,9),(2,10),(2,11),(3,5),(3,9),(4,5),(4,6),(4,7),(5,8),(6,8),(7,10),(7,11),(8,10),(8,11),(9,6),(9,7)],12)
[10,5,3,8,2,7,12,4,9,11,1,6]=>([(0,9),(1,7),(1,8),(2,5),(2,10),(3,6),(3,8),(3,9),(4,6),(4,7),(4,8),(6,10),(6,11),(7,9),(7,11),(8,10),(8,11),(11,5)],12)
[6,5,3,9,2,8,12,1,11,10,4,7]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,6),(2,11),(3,6),(3,10),(3,11),(4,6),(4,7),(4,8),(6,9),(10,5),(10,7),(10,8),(11,5),(11,7),(11,8)],12)
[6,5,3,7,2,8,12,9,1,10,11,4]=>([(0,11),(1,11),(2,10),(2,11),(3,9),(3,10),(4,8),(4,10),(7,9),(8,6),(8,7),(9,5),(11,8)],12)
[4,5,3,8,6,2,7,1,10,9,12,11]=>([(0,10),(0,11),(1,4),(2,5),(3,8),(3,9),(4,8),(4,9),(5,10),(5,11),(8,10),(8,11),(9,5),(10,6),(10,7),(11,6),(11,7)],12)
[4,5,3,8,6,2,7,1,10,12,11,9]=>([(0,7),(1,10),(1,11),(2,8),(2,9),(3,6),(6,8),(6,9),(7,10),(7,11),(8,7),(9,10),(9,11),(11,4),(11,5)],12)
[8,6,3,5,10,2,7,9,1,4,12,11]=>([(0,7),(1,7),(1,11),(2,10),(2,11),(3,6),(3,10),(4,5),(4,7),(5,10),(5,11),(6,8),(6,9),(7,8),(7,9),(10,8),(10,9),(11,6)],12)
[10,6,3,5,9,2,7,12,4,11,1,8]=>([(0,9),(1,7),(1,10),(2,8),(2,11),(3,6),(3,10),(4,5),(4,6),(5,7),(5,10),(6,9),(6,11),(7,8),(7,11),(10,8),(10,9),(10,11)],12)
[8,6,3,5,9,2,7,12,10,4,11,1]=>([(1,10),(2,10),(2,11),(3,6),(3,11),(4,5),(4,6),(5,10),(5,11),(6,9),(8,9),(10,7),(10,8),(11,7),(11,8)],12)
[4,7,3,6,10,1,9,8,2,5,12,11]=>([(0,5),(0,7),(1,3),(1,8),(1,9),(2,4),(2,5),(2,7),(3,7),(4,6),(4,8),(4,9),(5,6),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,6,3,7,12,2,9,8,4,11,1,5]=>([(0,8),(1,10),(2,7),(2,11),(3,9),(3,10),(4,5),(4,6),(4,9),(5,11),(6,11),(9,8),(9,11),(10,5),(10,6),(10,7)],12)
[4,9,3,6,12,1,10,8,11,7,2,5]=>([(0,9),(0,10),(1,4),(1,9),(1,10),(2,3),(2,7),(2,8),(2,11),(3,10),(4,6),(4,11),(8,5),(9,6),(9,7),(9,8),(9,11),(11,5)],12)
[4,7,3,6,8,1,12,10,9,5,11,2]=>([(0,8),(0,11),(1,4),(1,8),(1,11),(2,3),(2,5),(2,6),(2,7),(2,11),(4,9),(6,10),(7,10),(8,9),(9,5),(9,6),(9,7),(11,10)],12)
[4,5,3,6,10,7,1,8,9,2,12,11]=>([(0,9),(1,6),(2,7),(2,8),(3,10),(3,11),(4,8),(5,10),(5,11),(6,9),(7,10),(7,11),(8,5),(9,3),(9,4)],12)
[10,7,3,5,6,12,2,8,9,11,1,4]=>([(0,9),(1,9),(1,11),(2,10),(2,11),(3,8),(3,10),(4,5),(4,9),(5,7),(6,8),(7,10),(7,11),(11,6)],12)
[4,9,3,7,6,12,1,8,11,10,2,5]=>([(0,3),(0,11),(1,7),(1,8),(1,10),(2,4),(2,7),(2,8),(2,10),(3,10),(4,5),(4,6),(4,9),(7,9),(7,11),(8,9),(8,11),(11,5),(11,6)],12)
[4,5,3,8,7,12,2,11,9,10,1,6]=>([(0,11),(1,9),(1,10),(1,11),(2,7),(2,8),(2,11),(3,5),(5,7),(5,8),(5,11),(7,6),(7,9),(7,10),(8,6),(8,9),(8,10),(10,4)],12)
[4,5,3,6,7,12,8,2,9,10,11,1]=>([(1,10),(2,11),(3,7),(6,11),(7,10),(8,5),(9,4),(9,6),(10,9),(11,8)],12)
[2,3,6,4,5,1,8,7,10,9,12,11]=>([(0,10),(0,11),(1,5),(2,10),(2,11),(3,10),(3,11),(4,3),(5,2),(5,4),(6,8),(6,9),(7,8),(7,9),(10,6),(10,7),(11,6),(11,7)],12)
[2,3,6,4,5,1,8,7,10,12,11,9]=>([(0,10),(0,11),(1,7),(4,10),(4,11),(5,10),(5,11),(6,5),(7,4),(7,6),(9,2),(9,3),(10,8),(10,9),(11,8),(11,9)],12)
[2,3,6,4,5,1,8,10,9,7,12,11]=>([(0,10),(0,11),(1,7),(2,10),(2,11),(3,10),(3,11),(4,8),(4,9),(5,8),(5,9),(6,3),(7,2),(7,6),(10,8),(10,9),(11,4),(11,5)],12)
[2,3,6,4,5,1,10,12,9,11,7,8]=>([(0,9),(0,10),(0,11),(1,7),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(6,4),(7,3),(7,6),(9,8),(10,5),(11,2),(11,8)],12)
[2,3,6,4,5,1,8,9,12,10,11,7]=>([(0,10),(0,11),(1,8),(4,10),(4,11),(5,10),(5,11),(6,3),(7,5),(8,4),(8,7),(9,2),(9,6),(11,9)],12)
[6,3,8,4,5,7,1,2,10,9,12,11]=>([(0,4),(1,3),(1,7),(2,6),(2,7),(3,5),(4,10),(4,11),(5,6),(6,10),(6,11),(7,10),(7,11),(10,8),(10,9),(11,8),(11,9)],12)
[6,3,8,4,5,7,1,2,10,12,11,9]=>([(0,8),(0,9),(1,6),(2,7),(2,9),(5,8),(6,10),(6,11),(7,5),(8,10),(8,11),(9,10),(9,11),(11,3),(11,4)],12)
[8,3,7,4,5,10,2,9,1,6,12,11]=>([(0,7),(1,7),(1,11),(2,10),(2,11),(3,4),(3,5),(4,6),(5,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(10,8),(10,9),(11,8),(11,9)],12)
[10,3,7,4,5,9,2,12,6,11,1,8]=>([(0,11),(1,9),(1,10),(2,7),(2,9),(3,4),(3,5),(4,8),(4,11),(5,6),(6,7),(6,8),(7,10),(7,11),(8,9),(8,10)],12)
[8,3,7,4,5,9,2,12,10,6,11,1]=>([(1,11),(2,7),(2,8),(2,9),(3,4),(3,5),(4,6),(5,11),(6,7),(6,11),(7,10),(9,10),(11,8),(11,9)],12)
[6,3,7,4,5,10,8,2,9,1,12,11]=>([(0,6),(1,10),(1,11),(2,7),(3,4),(3,6),(4,5),(5,8),(5,9),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,7)],12)
[10,3,8,4,5,7,12,2,9,11,1,6]=>([(0,9),(1,9),(1,11),(2,8),(2,10),(3,4),(3,5),(4,6),(5,10),(5,11),(6,7),(6,9),(7,10),(7,11),(11,8)],12)
[6,3,9,4,5,8,12,1,11,10,2,7]=>([(0,6),(0,7),(0,11),(1,3),(1,9),(1,10),(2,4),(2,6),(3,11),(4,5),(5,7),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10)],12)
[6,3,7,4,5,8,12,9,1,10,11,2]=>([(0,9),(1,7),(1,10),(2,8),(2,9),(4,10),(6,11),(8,6),(9,11),(10,5),(11,3),(11,4)],12)
[2,5,8,4,7,6,1,3,10,9,12,11]=>([(0,9),(1,3),(1,4),(1,9),(2,10),(2,11),(3,7),(3,8),(4,2),(4,7),(4,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,5),(10,6),(11,5),(11,6)],12)
[2,5,8,4,7,6,1,3,10,12,11,9]=>([(0,9),(1,5),(1,6),(1,9),(4,10),(4,11),(5,7),(5,8),(6,4),(6,7),(6,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(11,2),(11,3)],12)
[8,5,10,4,7,6,2,9,1,3,12,11]=>([(0,7),(1,8),(1,11),(2,7),(2,11),(3,5),(3,6),(4,5),(4,6),(4,8),(5,11),(6,11),(7,9),(7,10),(8,9),(8,10),(11,9),(11,10)],12)
[10,5,9,4,7,6,2,12,3,11,1,8]=>([(0,10),(0,11),(1,9),(2,7),(2,8),(3,6),(3,10),(4,5),(4,7),(4,8),(5,10),(5,11),(6,9),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[8,5,9,4,7,6,2,12,10,3,11,1]=>([(1,8),(2,6),(2,7),(3,6),(3,7),(3,8),(4,5),(4,10),(4,11),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(11,9)],12)
[2,7,10,4,8,6,9,5,1,3,12,11]=>([(0,9),(1,5),(1,6),(1,9),(2,8),(3,10),(3,11),(4,10),(4,11),(5,4),(5,7),(6,2),(6,3),(6,7),(7,8),(8,10),(8,11),(9,10),(9,11)],12)
[10,7,12,4,8,6,9,5,2,11,1,3]=>([(0,7),(1,7),(1,11),(2,8),(2,11),(3,8),(3,9),(4,5),(4,6),(4,9),(5,10),(6,11),(9,10),(10,11)],12)
[2,9,8,4,12,6,10,3,11,7,1,5]=>([(0,11),(1,2),(1,3),(1,5),(1,6),(2,9),(2,10),(3,9),(3,10),(4,8),(4,10),(5,7),(5,8),(5,11),(6,4),(6,9),(6,11),(10,7)],12)
[2,7,8,4,12,6,9,10,1,3,11,5]=>([(0,10),(1,5),(1,6),(1,10),(2,11),(3,8),(4,7),(4,11),(5,4),(6,2),(6,7),(6,9),(10,8),(10,9),(11,3)],12)
[2,5,6,4,10,8,7,3,9,1,12,11]=>([(0,10),(0,11),(1,2),(1,4),(1,5),(2,9),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,3),(6,9),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[10,5,6,4,12,8,7,3,9,11,1,2]=>([(0,7),(0,11),(1,10),(2,8),(2,9),(2,11),(3,5),(4,6),(6,8),(6,9),(6,11),(8,10),(9,10),(10,7)],12)
[2,9,8,4,6,12,7,3,11,10,1,5]=>([(0,9),(1,3),(1,4),(1,5),(1,6),(2,10),(2,11),(3,9),(3,10),(3,11),(4,8),(4,10),(4,11),(5,8),(5,10),(5,11),(6,7),(6,9),(7,2),(7,8)],12)
[2,5,8,4,12,9,7,11,6,10,3,1]=>([(1,2),(1,4),(1,5),(3,8),(3,10),(4,3),(4,7),(4,9),(5,7),(5,8),(5,9),(5,10),(7,11),(9,6),(9,11),(10,6),(10,11)],12)
[2,5,6,4,7,12,9,8,1,10,11,3]=>([(0,9),(0,11),(1,4),(1,8),(1,9),(3,10),(4,10),(5,11),(6,11),(8,3),(10,2),(10,5),(10,6),(11,7)],12)
[2,3,4,8,5,6,7,1,10,9,12,11]=>([(0,10),(0,11),(1,6),(2,10),(2,11),(3,10),(3,11),(4,5),(5,2),(6,7),(7,3),(7,4),(10,8),(10,9),(11,8),(11,9)],12)
[2,3,4,8,5,6,7,1,10,12,11,9]=>([(0,10),(0,11),(1,8),(4,10),(4,11),(5,10),(5,11),(6,7),(7,5),(8,9),(9,4),(9,6),(11,2),(11,3)],12)
[8,3,4,10,5,6,7,9,1,2,12,11]=>([(0,8),(0,9),(1,7),(2,4),(3,9),(4,10),(4,11),(5,6),(6,3),(7,5),(7,8),(8,10),(8,11),(9,10),(9,11)],12)
[10,3,4,9,5,6,7,12,2,11,1,8]=>([(0,10),(1,10),(1,11),(2,9),(2,11),(3,8),(4,9),(4,11),(5,9),(5,10),(5,11),(6,7),(7,5),(8,4),(8,6)],12)
[8,3,4,9,5,6,7,12,10,2,11,1]=>([(1,4),(2,8),(3,9),(4,7),(4,9),(5,10),(5,11),(6,5),(7,6),(9,10),(9,11),(11,8)],12)
[2,7,4,10,5,6,9,8,1,3,12,11]=>([(0,9),(1,3),(1,5),(1,9),(2,6),(2,7),(3,6),(3,7),(3,8),(4,2),(5,4),(5,8),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,7,4,12,5,6,9,8,2,11,1,3]=>([(0,10),(0,11),(1,7),(2,7),(2,11),(3,8),(3,9),(3,10),(4,5),(4,10),(5,6),(6,8),(6,9),(8,11),(9,11)],12)
[2,9,4,12,5,6,10,8,11,7,1,3]=>([(0,11),(1,4),(1,6),(1,11),(3,10),(4,8),(4,9),(5,7),(6,5),(6,8),(7,2),(7,3),(7,9),(9,10)],12)
[2,7,4,8,5,6,12,10,9,3,11,1]=>([(1,2),(1,3),(1,6),(2,7),(3,11),(4,8),(4,9),(4,10),(5,4),(6,5),(6,7),(7,8),(7,9),(7,10),(9,11),(10,11)],12)
[2,3,6,10,5,9,7,8,1,4,12,11]=>([(0,8),(1,6),(2,10),(2,11),(3,10),(3,11),(4,7),(4,9),(5,3),(5,7),(5,9),(6,4),(6,5),(6,8),(7,10),(7,11),(8,10),(8,11),(9,2)],12)
[10,3,6,12,5,9,7,8,2,11,1,4]=>([(0,7),(0,11),(1,10),(2,10),(2,11),(3,5),(3,6),(3,10),(4,11),(5,8),(5,9),(6,7),(6,8),(6,9),(8,11),(9,4)],12)
[2,9,6,12,5,11,7,8,10,1,3,4]=>([(0,10),(1,3),(1,5),(1,6),(1,10),(3,9),(3,11),(4,8),(5,7),(5,9),(5,11),(6,7),(6,8),(6,11),(9,4),(10,2)],12)
[2,3,8,12,5,10,7,11,9,6,1,4]=>([(0,11),(1,6),(4,8),(4,10),(5,3),(5,8),(5,9),(6,5),(6,7),(6,11),(7,2),(7,4),(7,9),(9,10)],12)
[2,3,6,7,5,12,10,8,9,4,11,1]=>([(1,7),(2,11),(3,11),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,5),(7,3),(7,4),(7,6),(9,11),(10,2)],12)
[2,3,4,5,10,6,7,8,9,1,12,11]=>([(0,10),(0,11),(1,8),(2,10),(2,11),(3,10),(3,11),(4,7),(5,9),(6,4),(7,2),(8,5),(9,3),(9,6)],12)
[10,3,4,5,12,6,7,8,9,11,1,2]=>([(0,10),(0,11),(1,9),(2,4),(3,11),(5,7),(6,5),(7,3),(8,6),(8,10),(9,8)],12)
[2,9,4,5,12,6,7,8,11,10,1,3]=>([(0,11),(1,3),(1,6),(1,11),(2,9),(2,10),(3,8),(3,9),(3,10),(4,5),(5,2),(6,7),(7,4),(7,8)],12)
[2,3,8,5,12,6,7,11,9,10,1,4]=>([(0,10),(1,7),(3,9),(3,11),(4,8),(4,9),(4,11),(5,3),(6,5),(6,8),(7,4),(7,6),(7,10),(11,2)],12)
[2,3,4,7,12,6,11,8,9,10,1,5]=>([(0,11),(1,5),(4,9),(4,10),(5,8),(6,2),(6,9),(6,10),(7,3),(8,4),(8,6),(8,11),(10,7)],12)
[2,3,4,5,6,12,7,8,9,10,11,1]=>([(1,10),(4,5),(5,9),(6,7),(7,11),(8,4),(9,2),(10,6),(11,3),(11,8)],12)
[2,1,4,3,6,5,8,7,10,11,12,9]=>([(0,10),(0,11),(1,10),(1,11),(2,3),(5,2),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)
[2,1,4,3,6,5,8,9,10,7,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,3),(3,4),(3,5),(6,2),(7,6),(7,9),(8,6),(8,9),(9,4),(9,5),(10,7),(10,8),(11,7),(11,8)],12)
[2,1,4,3,6,5,10,9,11,12,7,8]=>([(0,8),(0,9),(1,8),(1,9),(4,2),(5,3),(6,5),(7,5),(8,10),(8,11),(9,10),(9,11),(10,4),(10,6),(10,7),(11,4),(11,6),(11,7)],12)
[2,1,4,3,6,5,8,9,10,11,12,7]=>([(0,10),(0,11),(1,10),(1,11),(2,5),(4,3),(5,4),(7,2),(8,6),(8,7),(9,6),(9,7),(10,8),(10,9),(11,8),(11,9)],12)
[2,1,4,3,6,7,8,5,10,9,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,3),(3,8),(3,9),(6,2),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)
[2,1,4,3,6,7,8,5,10,11,12,9]=>([(0,10),(0,11),(1,10),(1,11),(2,4),(3,5),(5,6),(5,8),(7,3),(8,2),(9,6),(9,8),(10,7),(10,9),(11,7),(11,9)],12)
[2,1,4,3,8,7,9,10,5,6,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,6),(2,7),(3,6),(3,7),(4,2),(5,3),(8,5),(9,5),(10,4),(10,8),(10,9),(11,4),(11,8),(11,9)],12)
[2,1,4,3,10,7,11,9,5,12,8,6]=>([(0,9),(0,10),(1,9),(1,10),(3,11),(5,11),(6,5),(7,2),(7,4),(7,11),(8,3),(8,4),(8,5),(9,6),(9,7),(9,8),(10,6),(10,7),(10,8)],12)
[2,1,4,3,8,7,9,10,11,12,5,6]=>([(0,10),(0,11),(1,10),(1,11),(3,4),(4,5),(6,2),(7,3),(8,7),(9,7),(10,6),(10,8),(10,9),(11,6),(11,8),(11,9)],12)
[2,1,4,3,6,7,8,9,10,5,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,4),(3,5),(4,3),(5,7),(5,8),(6,2),(9,7),(9,8),(10,6),(10,9),(11,6),(11,9)],12)
[2,1,4,3,10,7,8,9,11,12,5,6]=>([(0,10),(0,11),(1,10),(1,11),(4,5),(5,8),(6,2),(7,4),(8,3),(9,8),(10,6),(10,7),(10,9),(11,6),(11,7),(11,9)],12)
[2,1,4,3,6,9,8,10,11,5,12,7]=>([(0,10),(0,11),(1,10),(1,11),(2,6),(3,7),(4,7),(7,2),(8,3),(8,4),(8,5),(9,5),(9,6),(10,8),(10,9),(11,8),(11,9)],12)
[2,1,4,3,6,7,8,9,10,11,12,5]=>([(0,9),(0,10),(1,9),(1,10),(3,5),(4,3),(5,7),(6,4),(7,2),(9,8),(9,11),(10,8),(10,11),(11,6)],12)
[2,1,4,5,6,3,8,7,10,9,12,11]=>([(0,6),(0,11),(1,6),(1,11),(2,3),(3,9),(3,10),(6,2),(7,4),(7,5),(8,4),(8,5),(9,7),(9,8),(10,7),(10,8),(11,9),(11,10)],12)
[2,1,4,5,6,3,8,7,10,11,12,9]=>([(0,8),(0,11),(1,8),(1,11),(2,4),(3,5),(5,9),(5,10),(7,2),(8,3),(9,6),(9,7),(10,6),(10,7),(11,9),(11,10)],12)
[2,1,4,5,6,3,8,9,10,7,12,11]=>([(0,9),(0,11),(1,9),(1,11),(2,4),(3,5),(4,6),(4,7),(5,8),(5,10),(8,2),(9,3),(10,6),(10,7),(11,8),(11,10)],12)
[2,1,4,5,6,3,10,9,11,12,7,8]=>([(0,8),(0,11),(1,8),(1,11),(4,5),(5,7),(5,9),(5,10),(6,2),(7,3),(8,4),(9,6),(10,6),(11,7),(11,9),(11,10)],12)
[2,1,4,5,6,3,8,9,10,11,12,7]=>([(0,9),(0,11),(1,9),(1,11),(3,8),(3,10),(4,7),(5,3),(6,4),(7,2),(9,8),(9,10),(10,6),(11,5)],12)
[2,1,6,5,7,8,3,4,10,9,12,11]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,10),(2,11),(3,10),(3,11),(6,2),(7,3),(8,6),(9,6),(10,4),(10,5),(11,4),(11,5)],12)
[2,1,6,5,7,8,3,4,10,11,12,9]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,3),(4,7),(4,8),(5,7),(5,8),(6,4),(8,2),(9,5),(10,6),(11,6)],12)
[2,1,8,5,9,7,3,10,6,4,12,11]=>([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,9),(3,10),(3,11),(4,9),(5,10),(5,11),(6,4),(7,3),(7,5),(7,9),(8,2),(8,4),(8,5),(9,10),(9,11)],12)
[2,1,10,5,11,7,3,9,6,12,8,4]=>([(0,8),(0,9),(0,10),(1,8),(1,9),(1,10),(3,4),(3,6),(5,11),(6,11),(7,4),(7,11),(8,5),(9,3),(9,5),(9,7),(10,2),(10,6),(10,7)],12)
[2,1,8,5,9,7,3,10,11,12,6,4]=>([(0,8),(0,9),(0,10),(1,8),(1,9),(1,10),(3,11),(4,5),(7,11),(8,7),(9,2),(9,6),(9,11),(10,3),(10,6),(10,7),(11,4)],12)
[2,1,6,5,7,8,9,10,3,4,12,11]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,3),(3,4),(4,6),(4,7),(5,6),(5,7),(8,2),(9,5),(10,8),(11,8)],12)
[2,1,10,5,11,7,8,9,3,12,6,4]=>([(0,8),(0,9),(0,10),(1,8),(1,9),(1,10),(3,4),(4,5),(5,11),(7,11),(8,7),(9,2),(9,6),(9,11),(10,3),(10,6),(10,7)],12)
[2,1,6,5,9,10,8,12,11,4,7,3]=>([(0,6),(0,7),(0,9),(0,10),(1,6),(1,7),(1,9),(1,10),(2,4),(2,5),(3,2),(7,11),(8,4),(8,5),(9,3),(9,8),(9,11),(10,3),(10,8),(10,11)],12)
[2,1,6,5,7,8,9,10,11,12,3,4]=>([(0,8),(0,9),(0,10),(1,8),(1,9),(1,10),(4,5),(5,7),(6,4),(7,2),(8,3),(9,11),(10,11),(11,6)],12)
[2,1,4,5,6,7,8,3,10,9,12,11]=>([(0,8),(0,11),(1,8),(1,11),(2,4),(3,5),(4,3),(5,9),(5,10),(8,2),(9,6),(9,7),(10,6),(10,7),(11,9),(11,10)],12)
[2,1,4,5,6,7,8,3,10,11,12,9]=>([(0,9),(0,11),(1,9),(1,11),(3,8),(3,10),(4,5),(5,3),(6,4),(7,2),(9,8),(9,10),(10,7),(11,6)],12)
[2,1,8,5,6,7,9,10,3,4,12,11]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,3),(3,6),(4,7),(4,8),(5,7),(5,8),(6,5),(9,2),(10,4),(11,6)],12)
[2,1,10,5,6,7,11,9,3,12,8,4]=>([(0,8),(0,9),(0,10),(1,8),(1,9),(1,10),(3,5),(4,11),(5,4),(5,6),(5,7),(7,11),(8,3),(9,7),(10,2),(10,6),(10,11)],12)
[2,1,8,5,6,7,9,10,11,12,3,4]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,8),(5,6),(6,4),(7,2),(8,5),(9,7),(10,8),(11,3)],12)
[2,1,4,7,6,8,9,3,10,5,12,11]=>([(0,8),(0,11),(1,8),(1,11),(2,10),(3,7),(4,7),(7,2),(8,3),(8,4),(8,9),(9,5),(9,6),(10,5),(10,6),(11,9),(11,10)],12)
[2,1,10,7,6,8,9,3,11,12,5,4]=>([(0,7),(0,8),(0,9),(0,10),(1,7),(1,8),(1,9),(1,10),(4,11),(6,4),(7,11),(8,2),(8,3),(8,11),(9,6),(10,6),(11,5)],12)
[2,1,4,9,6,10,8,3,11,7,12,5]=>([(0,9),(0,10),(1,9),(1,10),(2,11),(3,6),(4,2),(4,6),(4,8),(6,11),(8,7),(9,3),(9,4),(9,5),(10,5),(10,8),(10,11),(11,7)],12)
[2,1,4,7,6,8,9,10,11,3,12,5]=>([(0,10),(0,11),(1,10),(1,11),(2,7),(3,7),(4,8),(5,4),(6,5),(7,6),(10,8),(10,9),(11,2),(11,3),(11,9)],12)
[2,1,4,5,6,7,8,9,10,3,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,8),(2,9),(3,5),(4,3),(5,7),(6,4),(7,2),(10,8),(10,9),(11,6)],12)
[2,1,10,5,6,7,8,9,11,12,3,4]=>([(0,8),(0,9),(0,11),(1,8),(1,9),(1,11),(4,10),(5,6),(6,4),(7,5),(8,7),(9,10),(10,3),(11,2)],12)
[2,1,4,9,6,7,8,10,11,3,12,5]=>([(0,9),(0,11),(1,9),(1,11),(2,10),(3,10),(4,7),(5,6),(6,3),(9,7),(9,8),(10,4),(11,2),(11,5),(11,8)],12)
[2,1,4,5,8,7,9,10,3,11,12,6]=>([(0,8),(0,9),(1,8),(1,9),(3,11),(4,10),(5,10),(6,4),(6,5),(6,7),(8,7),(8,11),(9,6),(10,3),(11,2)],12)
[2,1,4,5,6,7,8,9,10,11,12,3]=>([(0,10),(0,11),(1,10),(1,11),(3,5),(4,3),(5,7),(6,4),(7,9),(8,6),(9,2),(11,8)],12)
[2,3,4,1,6,5,8,7,10,9,12,11]=>([(0,2),(1,10),(1,11),(2,3),(3,10),(3,11),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)
[2,3,4,1,6,5,8,7,10,11,12,9]=>([(0,4),(1,10),(1,11),(2,3),(4,5),(5,10),(5,11),(7,2),(8,6),(8,7),(9,6),(9,7),(10,8),(10,9),(11,8),(11,9)],12)
[2,3,4,1,6,5,8,9,10,7,12,11]=>([(0,3),(1,10),(1,11),(2,5),(3,4),(4,10),(4,11),(5,6),(5,7),(8,2),(9,6),(9,7),(10,8),(10,9),(11,8),(11,9)],12)
[2,3,4,1,6,5,10,9,11,12,7,8]=>([(0,4),(1,10),(1,11),(4,5),(5,10),(5,11),(6,2),(7,3),(8,7),(9,7),(10,6),(10,8),(10,9),(11,6),(11,8),(11,9)],12)
[2,3,4,1,6,5,8,9,10,11,12,7]=>([(0,9),(0,10),(1,7),(3,9),(3,10),(4,6),(5,4),(6,2),(7,3),(9,8),(9,11),(10,8),(10,11),(11,5)],12)
[2,3,4,1,6,7,8,5,10,9,12,11]=>([(0,3),(1,8),(1,11),(2,5),(3,4),(4,8),(4,11),(5,9),(5,10),(8,2),(9,6),(9,7),(10,6),(10,7),(11,9),(11,10)],12)
[2,3,4,1,6,7,8,5,10,11,12,9]=>([(0,10),(0,11),(1,6),(3,10),(3,11),(4,8),(4,9),(5,4),(6,3),(7,2),(9,7),(10,5),(11,8),(11,9)],12)
[2,3,4,1,8,7,9,10,5,6,12,11]=>([(0,2),(1,7),(1,10),(1,11),(2,5),(3,8),(3,9),(4,8),(4,9),(5,7),(5,10),(5,11),(6,3),(7,4),(10,6),(11,6)],12)
[2,3,4,1,10,7,11,9,5,12,8,6]=>([(0,4),(1,8),(1,9),(1,10),(3,11),(4,5),(5,8),(5,9),(5,10),(7,11),(8,7),(9,2),(9,6),(9,11),(10,3),(10,6),(10,7)],12)
[2,3,4,1,8,7,9,10,11,12,5,6]=>([(0,9),(0,10),(0,11),(1,7),(4,9),(4,10),(4,11),(5,6),(6,3),(7,4),(8,5),(9,8),(10,8),(11,2)],12)
[2,3,4,1,6,7,8,9,10,5,12,11]=>([(0,10),(0,11),(1,7),(2,10),(2,11),(3,8),(3,9),(4,5),(5,3),(6,4),(7,2),(10,8),(10,9),(11,6)],12)
[2,3,4,1,10,7,8,9,11,12,5,6]=>([(0,8),(0,9),(0,11),(1,6),(3,10),(5,8),(5,9),(5,11),(6,5),(7,3),(8,7),(9,10),(10,4),(11,2)],12)
[2,3,4,1,6,9,8,10,11,5,12,7]=>([(0,9),(0,11),(1,6),(2,10),(3,10),(4,9),(4,11),(5,7),(6,4),(9,7),(9,8),(10,5),(11,2),(11,3),(11,8)],12)
[2,3,4,1,6,7,8,9,10,11,12,5]=>([(0,10),(0,11),(1,9),(3,10),(3,11),(4,6),(5,4),(6,8),(7,5),(8,2),(9,3),(11,7)],12)
[4,3,5,6,1,2,8,7,10,9,12,11]=>([(0,4),(1,7),(2,7),(3,10),(3,11),(4,10),(4,11),(7,3),(8,5),(8,6),(9,5),(9,6),(10,8),(10,9),(11,8),(11,9)],12)
[4,3,5,6,1,2,8,7,10,11,12,9]=>([(0,6),(1,9),(2,9),(3,4),(5,10),(5,11),(6,10),(6,11),(8,3),(9,5),(10,7),(10,8),(11,7),(11,8)],12)
[4,3,5,6,1,2,8,9,10,7,12,11]=>([(0,6),(1,10),(2,10),(3,5),(4,9),(4,11),(5,7),(5,8),(6,9),(6,11),(9,3),(10,4),(11,7),(11,8)],12)
[4,3,5,6,1,2,10,9,11,12,7,8]=>([(0,6),(1,9),(2,9),(5,8),(5,10),(5,11),(6,8),(6,10),(6,11),(7,3),(8,4),(9,5),(10,7),(11,7)],12)
[4,3,5,6,1,2,8,9,10,11,12,7]=>([(0,11),(1,11),(2,5),(4,9),(4,10),(5,9),(5,10),(6,7),(7,3),(8,6),(10,8),(11,4)],12)
[6,3,7,5,1,8,4,2,10,9,12,11]=>([(0,7),(1,4),(1,8),(1,9),(2,3),(2,7),(2,8),(3,9),(4,10),(4,11),(7,9),(8,10),(8,11),(9,10),(9,11),(10,5),(10,6),(11,5),(11,6)],12)
[6,3,7,5,1,8,4,2,10,11,12,9]=>([(0,7),(1,5),(1,8),(1,11),(2,4),(2,7),(2,8),(4,11),(5,9),(5,10),(6,3),(7,11),(8,9),(8,10),(10,6),(11,9),(11,10)],12)
[8,3,9,5,1,7,4,10,6,2,12,11]=>([(0,7),(1,4),(1,7),(1,8),(2,3),(2,6),(2,8),(3,10),(3,11),(4,5),(4,6),(5,10),(5,11),(6,9),(7,9),(8,5),(8,9),(9,10),(9,11)],12)
[10,3,11,5,1,7,4,9,6,12,8,2]=>([(0,7),(1,4),(1,7),(1,10),(2,3),(2,9),(2,10),(4,8),(4,9),(6,11),(7,11),(8,5),(8,11),(9,5),(9,6),(10,6),(10,8)],12)
[8,3,9,5,1,7,4,10,11,12,6,2]=>([(0,9),(1,4),(1,8),(1,10),(2,5),(2,9),(2,10),(5,7),(5,8),(6,3),(8,11),(9,11),(10,7),(10,11),(11,6)],12)
[6,3,7,5,1,8,9,10,4,2,12,11]=>([(0,7),(1,5),(1,8),(1,11),(2,4),(2,7),(2,8),(3,9),(3,10),(4,11),(5,9),(5,10),(6,3),(7,11),(8,9),(8,10),(11,6)],12)
[10,3,11,5,1,7,8,9,4,12,6,2]=>([(0,9),(1,4),(1,8),(1,10),(2,5),(2,9),(2,10),(3,11),(5,7),(5,8),(6,3),(8,6),(9,11),(10,7),(10,11)],12)
[6,3,9,5,2,10,8,12,11,4,7,1]=>([(1,8),(1,9),(1,11),(2,7),(2,9),(2,10),(3,4),(3,7),(3,8),(4,9),(4,10),(4,11),(7,11),(8,10),(9,5),(9,6),(11,5),(11,6)],12)
[6,3,7,5,1,8,9,10,11,12,4,2]=>([(0,9),(1,4),(1,10),(1,11),(2,5),(2,9),(2,10),(5,11),(6,7),(7,3),(8,6),(9,11),(11,8)],12)
[4,3,5,6,7,8,1,2,10,9,12,11]=>([(0,6),(1,9),(2,9),(3,4),(4,5),(5,10),(5,11),(6,10),(6,11),(9,3),(10,7),(10,8),(11,7),(11,8)],12)
[4,3,5,6,7,8,1,2,10,11,12,9]=>([(0,11),(1,11),(2,5),(4,9),(4,10),(5,9),(5,10),(6,7),(7,4),(8,3),(10,8),(11,6)],12)
[8,3,9,5,6,7,1,10,4,2,12,11]=>([(0,7),(1,4),(1,8),(1,11),(2,6),(2,7),(2,8),(3,11),(4,9),(4,10),(5,3),(6,5),(7,11),(8,9),(8,10),(11,9),(11,10)],12)
[10,3,11,5,6,7,1,9,4,12,8,2]=>([(0,9),(1,6),(1,9),(1,10),(2,4),(2,8),(2,10),(3,7),(3,8),(5,3),(6,5),(8,11),(9,11),(10,7),(10,11)],12)
[8,3,9,5,6,7,1,10,11,12,4,2]=>([(0,9),(1,5),(1,10),(1,11),(2,8),(2,9),(2,10),(4,11),(6,4),(7,3),(8,6),(9,11),(11,7)],12)
[4,3,7,8,6,10,9,2,5,1,12,11]=>([(0,10),(0,11),(1,9),(2,5),(2,6),(2,9),(3,5),(3,6),(3,9),(4,7),(4,8),(5,7),(5,8),(6,4),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,3,11,7,6,8,9,4,1,12,5,2]=>([(0,9),(1,5),(1,8),(1,11),(2,3),(2,4),(2,7),(2,9),(3,10),(4,10),(6,11),(7,8),(7,11),(9,11),(10,6)],12)
[4,3,9,10,6,12,8,2,11,7,5,1]=>([(1,6),(1,10),(1,11),(2,7),(2,8),(2,10),(3,7),(3,8),(3,10),(4,11),(5,9),(5,11),(7,5),(8,4),(8,6),(8,9)],12)
[4,3,7,8,6,9,10,12,11,5,1,2]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,6),(3,8),(7,4),(7,5),(8,7),(10,8),(11,3)],12)
[4,3,5,6,7,8,9,10,1,2,12,11]=>([(0,11),(1,11),(2,4),(3,9),(3,10),(4,9),(4,10),(5,6),(6,8),(7,5),(8,3),(11,7)],12)
[10,3,11,5,6,7,8,9,1,12,4,2]=>([(0,9),(1,4),(1,10),(1,11),(2,8),(2,9),(2,10),(3,11),(5,7),(6,5),(7,3),(8,6),(9,11)],12)
[4,3,9,10,6,7,8,12,11,2,5,1]=>([(1,11),(2,7),(2,8),(2,11),(3,7),(3,8),(3,11),(4,9),(4,10),(5,6),(6,9),(6,10),(7,4),(8,5)],12)
[4,3,5,8,9,7,12,10,1,11,6,2]=>([(0,11),(1,11),(2,4),(2,8),(2,9),(3,6),(5,7),(5,10),(6,7),(6,10),(10,9),(11,3),(11,5),(11,8)],12)
[4,3,5,6,7,8,9,10,11,12,1,2]=>([(0,11),(1,11),(2,4),(5,7),(6,5),(7,9),(8,6),(9,3),(10,8),(11,10)],12)
[2,3,4,5,6,1,8,7,10,9,12,11]=>([(0,4),(1,10),(1,11),(2,3),(3,5),(4,2),(5,10),(5,11),(8,6),(8,7),(9,6),(9,7),(10,8),(10,9),(11,8),(11,9)],12)
[2,3,4,5,6,1,8,7,10,11,12,9]=>([(0,9),(0,10),(1,7),(3,9),(3,10),(4,5),(5,3),(6,2),(7,4),(9,8),(9,11),(10,8),(10,11),(11,6)],12)
[2,3,4,5,6,1,8,9,10,7,12,11]=>([(0,10),(0,11),(1,7),(2,10),(2,11),(3,8),(3,9),(4,6),(5,3),(6,2),(7,4),(10,8),(10,9),(11,5)],12)
[2,3,4,5,6,1,10,9,11,12,7,8]=>([(0,8),(0,9),(0,11),(1,7),(4,8),(4,9),(4,11),(5,6),(6,4),(7,5),(8,10),(9,10),(10,3),(11,2)],12)
[2,3,4,5,6,1,8,9,10,11,12,7]=>([(0,10),(0,11),(1,9),(3,10),(3,11),(4,8),(5,6),(6,3),(7,4),(8,2),(9,5),(11,7)],12)
[6,3,4,5,7,8,1,2,10,9,12,11]=>([(0,6),(1,3),(2,9),(3,4),(4,9),(5,10),(5,11),(6,10),(6,11),(9,5),(10,7),(10,8),(11,7),(11,8)],12)
[6,3,4,5,7,8,1,2,10,11,12,9]=>([(0,11),(1,8),(2,6),(3,11),(5,9),(5,10),(6,9),(6,10),(7,4),(8,3),(10,7),(11,5)],12)
[8,3,4,5,9,7,1,10,6,2,12,11]=>([(0,7),(1,6),(2,4),(2,8),(2,11),(3,11),(4,9),(4,10),(5,3),(5,7),(5,8),(6,5),(7,11),(8,9),(8,10),(11,9),(11,10)],12)
[10,3,4,5,11,7,1,9,6,12,8,2]=>([(0,8),(1,6),(2,4),(2,9),(2,10),(3,7),(3,9),(5,3),(5,8),(5,10),(6,5),(8,11),(9,11),(10,7),(10,11)],12)
[8,3,4,5,9,7,1,10,11,12,6,2]=>([(0,9),(1,8),(2,5),(2,10),(2,11),(4,11),(6,3),(7,4),(7,9),(7,10),(8,7),(9,11),(11,6)],12)
[6,3,4,5,7,8,9,10,1,2,12,11]=>([(0,11),(1,8),(2,5),(3,11),(4,9),(4,10),(5,9),(5,10),(6,4),(7,6),(8,3),(11,7)],12)
[10,3,4,5,11,7,8,9,1,12,6,2]=>([(0,9),(1,8),(2,4),(2,10),(2,11),(3,11),(5,6),(6,3),(7,5),(7,9),(7,10),(8,7),(9,11)],12)
[6,3,4,5,9,10,8,12,11,2,7,1]=>([(1,11),(2,7),(2,8),(2,11),(3,5),(4,9),(4,10),(5,6),(6,7),(6,8),(6,11),(7,9),(7,10),(8,4)],12)
[6,3,4,5,7,8,9,10,11,12,1,2]=>([(0,11),(1,10),(2,5),(4,11),(6,8),(7,6),(8,3),(9,7),(10,4),(11,9)],12)
[2,5,4,6,7,1,8,3,10,9,12,11]=>([(0,3),(0,4),(0,11),(1,10),(1,11),(2,10),(3,7),(4,7),(7,2),(8,5),(8,6),(9,5),(9,6),(10,8),(10,9),(11,8),(11,9)],12)
[2,5,4,6,7,1,8,3,10,11,12,9]=>([(0,9),(0,10),(1,4),(1,5),(1,10),(2,9),(4,11),(5,11),(6,3),(8,6),(9,7),(9,8),(10,7),(10,8),(11,2)],12)
[8,5,4,6,7,1,9,10,3,2,12,11]=>([(0,9),(1,8),(2,8),(3,4),(3,5),(3,9),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(8,7),(9,6)],12)
[10,5,4,6,7,1,11,9,3,12,8,2]=>([(0,10),(1,7),(2,7),(3,4),(3,5),(3,8),(3,10),(5,9),(5,11),(6,8),(6,9),(6,10),(7,6),(8,11),(10,11)],12)
[8,5,4,6,7,1,9,10,11,12,3,2]=>([(0,11),(1,10),(2,10),(3,5),(3,6),(3,11),(7,11),(8,4),(9,8),(10,7),(11,9)],12)
[2,7,4,8,6,1,9,5,10,3,12,11]=>([(0,3),(0,4),(0,10),(1,8),(1,10),(1,11),(2,11),(3,7),(4,2),(4,7),(4,8),(7,11),(8,9),(9,5),(9,6),(10,5),(10,6),(11,9)],12)
[10,7,4,8,6,1,9,5,11,12,3,2]=>([(0,10),(1,8),(2,6),(2,8),(2,9),(3,4),(3,5),(3,9),(3,11),(6,11),(8,11),(9,10),(10,7),(11,10)],12)
[2,9,4,10,6,1,8,5,11,7,12,3]=>([(0,2),(0,4),(0,8),(1,7),(1,8),(1,9),(2,5),(3,7),(3,10),(4,3),(4,5),(4,9),(5,11),(7,11),(9,10),(9,11),(10,6),(11,6)],12)
[2,7,4,8,6,1,9,10,11,5,12,3]=>([(0,9),(0,10),(0,11),(1,4),(1,6),(1,9),(2,11),(3,7),(4,8),(5,3),(6,2),(6,8),(6,10),(8,11),(10,7),(11,5)],12)
[2,5,4,6,7,8,9,1,10,3,12,11]=>([(0,10),(0,11),(1,3),(1,4),(1,11),(2,10),(3,7),(4,7),(5,2),(6,5),(7,6),(10,8),(10,9),(11,8),(11,9)],12)
[10,5,4,6,7,8,9,1,11,12,3,2]=>([(0,11),(1,10),(2,10),(3,4),(3,5),(3,11),(6,11),(8,6),(9,8),(10,9),(11,7)],12)
[2,9,4,10,6,7,8,1,11,5,12,3]=>([(0,9),(0,10),(0,11),(1,3),(1,6),(1,9),(2,11),(3,7),(4,5),(5,2),(6,4),(6,7),(6,10),(7,11),(10,8),(11,8)],12)
[2,5,4,8,9,7,11,10,3,6,12,1]=>([(1,2),(1,3),(1,4),(2,10),(3,6),(3,9),(3,10),(4,6),(4,9),(4,10),(5,7),(5,8),(6,7),(6,8),(7,11),(8,11),(9,5),(10,11)],12)
[2,5,4,6,7,8,9,10,11,1,12,3]=>([(0,9),(0,10),(1,2),(1,3),(1,10),(2,11),(3,11),(4,9),(5,7),(6,5),(7,4),(8,6),(11,8)],12)
[2,3,4,5,6,7,8,1,10,9,12,11]=>([(0,10),(0,11),(1,7),(2,10),(2,11),(3,4),(4,6),(5,3),(6,2),(7,5),(10,8),(10,9),(11,8),(11,9)],12)
[2,3,4,5,6,7,8,1,10,11,12,9]=>([(0,10),(0,11),(1,9),(3,10),(3,11),(4,5),(5,7),(6,4),(7,3),(8,2),(9,6),(11,8)],12)
[8,3,4,5,6,7,9,10,1,2,12,11]=>([(0,11),(1,8),(2,5),(3,11),(4,9),(4,10),(5,9),(5,10),(6,7),(7,3),(8,6),(11,4)],12)
[10,3,4,5,6,7,11,9,1,12,8,2]=>([(0,9),(1,8),(2,4),(2,10),(2,11),(3,11),(5,7),(6,5),(7,3),(7,9),(7,10),(8,6),(9,11)],12)
[8,3,4,5,6,7,9,10,11,12,1,2]=>([(0,11),(1,10),(2,5),(4,11),(6,4),(7,6),(8,3),(9,8),(10,7),(11,9)],12)
[2,7,4,5,6,8,9,1,10,3,12,11]=>([(0,9),(0,10),(1,4),(1,6),(1,10),(2,9),(3,11),(4,11),(5,3),(6,5),(9,7),(9,8),(10,7),(10,8),(11,2)],12)
[10,7,4,5,6,8,9,1,11,12,3,2]=>([(0,11),(1,10),(2,9),(3,4),(3,5),(3,11),(7,10),(8,11),(9,7),(10,8),(11,6)],12)
[2,9,4,5,6,10,8,1,11,7,12,3]=>([(0,9),(0,10),(0,11),(1,3),(1,5),(1,9),(2,11),(3,7),(4,6),(5,4),(6,2),(6,7),(6,10),(7,11),(10,8),(11,8)],12)
[2,7,4,5,6,8,9,10,11,1,12,3]=>([(0,9),(0,10),(1,3),(1,8),(1,10),(2,11),(3,11),(4,9),(5,4),(6,5),(7,2),(8,7),(11,6)],12)
[2,3,6,5,7,8,1,9,10,4,12,11]=>([(0,9),(0,11),(1,6),(2,11),(3,10),(4,10),(5,7),(5,8),(6,3),(6,4),(6,9),(9,7),(9,8),(10,2),(11,5)],12)
[10,3,6,5,7,8,1,9,11,12,4,2]=>([(0,11),(1,6),(1,8),(1,9),(2,4),(2,5),(2,9),(4,10),(5,10),(7,8),(8,11),(10,7),(11,3)],12)
[2,9,6,5,7,8,1,10,11,4,12,3]=>([(0,8),(0,9),(0,11),(1,2),(1,3),(1,5),(1,8),(1,9),(2,10),(3,10),(4,11),(5,11),(6,7),(9,7),(10,4),(11,6)],12)
[2,3,8,5,9,7,1,10,6,11,12,4]=>([(0,8),(0,9),(0,11),(1,6),(3,7),(4,11),(5,4),(5,7),(5,9),(6,3),(6,5),(6,8),(7,11),(9,10),(10,2),(11,10)],12)
[2,3,6,5,7,8,9,10,1,11,12,4]=>([(0,10),(0,11),(1,8),(3,11),(4,9),(5,9),(6,3),(7,6),(8,4),(8,5),(8,10),(9,7),(11,2)],12)
[2,3,4,5,6,7,8,9,10,1,12,11]=>([(0,10),(0,11),(1,9),(2,10),(2,11),(3,4),(4,6),(5,3),(6,8),(7,5),(8,2),(9,7)],12)
[10,3,4,5,6,7,8,9,11,12,1,2]=>([(0,11),(1,10),(2,5),(3,11),(6,7),(7,9),(8,6),(9,3),(10,8),(11,4)],12)
[2,9,4,5,6,7,8,10,11,1,12,3]=>([(0,10),(0,11),(1,3),(1,8),(1,11),(2,9),(3,9),(4,10),(5,7),(6,5),(7,2),(8,6),(9,4)],12)
[2,3,8,5,6,7,9,10,1,11,12,4]=>([(0,9),(0,11),(1,8),(3,10),(4,10),(5,11),(6,7),(7,4),(8,3),(8,6),(8,9),(10,5),(11,2)],12)
[2,3,4,7,6,8,9,1,10,11,12,5]=>([(0,9),(0,10),(1,6),(3,11),(4,11),(5,9),(6,8),(7,2),(8,3),(8,4),(8,10),(9,7),(11,5)],12)
[1,4,3,6,5,8,7,12,11,9,10,2]=>([(0,2),(0,3),(0,4),(3,8),(3,9),(4,8),(4,9),(7,1),(8,10),(8,11),(9,10),(9,11),(10,5),(10,6),(10,7),(11,5),(11,6),(11,7)],12)
[1,4,3,6,5,10,9,7,8,12,11,2]=>([(0,2),(0,3),(0,4),(1,10),(1,11),(3,8),(3,9),(4,8),(4,9),(5,10),(5,11),(6,10),(6,11),(7,1),(8,5),(8,6),(8,7),(9,5),(9,6),(9,7)],12)
[1,4,3,6,5,12,9,7,11,8,10,2]=>([(0,1),(0,3),(0,4),(2,7),(3,10),(3,11),(4,10),(4,11),(8,2),(8,6),(9,6),(9,7),(10,5),(10,8),(10,9),(11,5),(11,8),(11,9)],12)
[1,4,3,6,5,12,11,10,7,8,9,2]=>([(0,3),(0,4),(0,5),(1,2),(4,10),(4,11),(5,10),(5,11),(9,1),(10,6),(10,7),(10,8),(10,9),(11,6),(11,7),(11,8),(11,9)],12)
[1,4,3,8,7,5,6,10,9,12,11,2]=>([(0,2),(0,3),(0,4),(1,10),(1,11),(3,5),(3,6),(3,9),(4,5),(4,6),(4,9),(5,10),(5,11),(6,10),(6,11),(9,1),(10,7),(10,8),(11,7),(11,8)],12)
[1,4,3,8,7,5,6,12,11,9,10,2]=>([(0,3),(0,4),(0,5),(2,9),(2,10),(2,11),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,2),(11,1)],12)
[1,4,3,10,7,5,9,6,8,12,11,2]=>([(0,1),(0,3),(0,4),(2,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,2),(8,5),(9,5),(9,6)],12)
[1,4,3,12,7,5,9,6,11,8,10,2]=>([(0,1),(0,3),(0,4),(2,6),(2,8),(3,7),(3,9),(3,11),(4,7),(4,9),(4,11),(8,5),(9,2),(9,10),(10,5),(10,6),(11,8),(11,10)],12)
[1,4,3,12,7,5,11,10,6,8,9,2]=>([(0,2),(0,4),(0,5),(3,9),(4,8),(4,10),(4,11),(5,8),(5,10),(5,11),(9,1),(10,3),(10,6),(10,7),(11,6),(11,7),(11,9)],12)
[1,4,3,10,9,8,5,6,7,12,11,2]=>([(0,2),(0,3),(0,4),(1,10),(1,11),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,1),(6,5),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,4,3,12,9,8,5,6,11,7,10,2]=>([(0,2),(0,3),(0,4),(1,10),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,1),(5,11),(7,5),(8,10),(8,11),(9,10),(9,11)],12)
[1,4,3,12,11,8,5,10,6,7,9,2]=>([(0,2),(0,4),(0,5),(1,3),(3,9),(4,7),(4,8),(4,10),(4,11),(5,7),(5,8),(5,10),(5,11),(10,1),(10,6),(11,6),(11,9)],12)
[1,4,3,12,11,10,9,5,6,7,8,2]=>([(0,2),(0,3),(0,4),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,1),(6,5),(11,6)],12)
[1,6,5,3,4,8,7,10,9,12,11,2]=>([(0,2),(0,3),(0,4),(0,5),(1,10),(1,11),(3,10),(3,11),(4,10),(4,11),(5,1),(6,8),(6,9),(7,8),(7,9),(10,6),(10,7),(11,6),(11,7)],12)
[1,6,5,3,4,8,7,12,11,9,10,2]=>([(0,3),(0,4),(0,5),(0,6),(2,10),(2,11),(4,10),(4,11),(5,10),(5,11),(6,2),(9,1),(10,7),(10,8),(10,9),(11,7),(11,8),(11,9)],12)
[1,6,5,3,4,10,9,7,8,12,11,2]=>([(0,3),(0,4),(0,5),(0,6),(1,9),(1,10),(2,7),(2,8),(2,11),(4,7),(4,8),(4,11),(5,7),(5,8),(5,11),(6,2),(7,9),(7,10),(8,9),(8,10),(11,1)],12)
[1,6,5,3,4,12,9,7,11,8,10,2]=>([(0,3),(0,4),(0,5),(0,6),(1,9),(1,10),(1,11),(2,7),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,1),(10,7),(10,8),(11,2),(11,8)],12)
[1,6,5,3,4,12,11,10,7,8,9,2]=>([(0,3),(0,4),(0,5),(0,7),(2,8),(2,9),(2,10),(2,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,1),(7,2),(11,6)],12)
[1,8,5,3,7,4,6,10,9,12,11,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,10),(3,11),(4,6),(4,7),(5,1),(5,7),(6,10),(6,11),(7,10),(7,11),(10,8),(10,9),(11,8),(11,9)],12)
[1,8,5,3,7,4,6,12,11,9,10,2]=>([(0,3),(0,4),(0,5),(0,6),(2,7),(4,9),(4,10),(4,11),(5,7),(5,8),(6,2),(6,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(11,1)],12)
[1,10,5,3,7,4,9,6,8,12,11,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,8),(3,10),(3,11),(4,6),(4,7),(5,1),(5,7),(6,9),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[1,12,5,3,7,4,9,6,11,8,10,2]=>([(0,1),(0,2),(0,3),(0,5),(3,4),(3,11),(4,9),(4,10),(5,9),(5,11),(8,7),(9,6),(9,8),(10,6),(10,7),(11,8),(11,10)],12)
[1,12,5,3,7,4,11,10,6,8,9,2]=>([(0,3),(0,4),(0,5),(0,6),(2,7),(2,9),(2,10),(5,7),(5,8),(6,2),(6,8),(7,11),(8,9),(8,10),(8,11),(11,1)],12)
[1,10,5,3,9,8,4,6,7,12,11,2]=>([(0,3),(0,4),(0,5),(0,6),(1,9),(2,10),(2,11),(4,10),(4,11),(5,7),(5,8),(5,9),(6,1),(6,7),(6,8),(7,10),(7,11),(8,10),(8,11),(9,2)],12)
[1,12,5,3,9,8,4,6,11,7,10,2]=>([(0,3),(0,4),(0,5),(0,6),(1,9),(2,10),(5,7),(5,8),(5,9),(6,1),(6,7),(6,8),(7,10),(7,11),(8,10),(8,11),(9,2),(9,11)],12)
[1,12,5,3,11,8,4,10,6,7,9,2]=>([(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(2,11),(5,7),(5,8),(5,11),(6,2),(6,7),(6,8),(8,9),(8,10),(11,1)],12)
[1,12,5,3,11,10,9,4,6,7,8,2]=>([(0,3),(0,4),(0,5),(0,7),(2,11),(5,8),(5,9),(5,10),(5,11),(6,1),(7,2),(7,8),(7,9),(7,10),(11,6)],12)
[1,8,7,6,3,4,5,10,9,12,11,2]=>([(0,2),(0,3),(0,4),(0,5),(0,7),(1,10),(1,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,1),(7,6),(10,8),(10,9),(11,8),(11,9)],12)
[1,8,7,6,3,4,5,12,11,9,10,2]=>([(0,3),(0,4),(0,5),(0,6),(0,8),(2,9),(2,10),(2,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,2),(8,7),(11,1)],12)
[1,10,7,6,3,4,9,5,8,12,11,2]=>([(0,2),(0,3),(0,4),(0,5),(0,7),(1,8),(3,10),(3,11),(4,8),(4,9),(5,8),(5,9),(6,1),(6,9),(7,6),(8,10),(8,11),(9,10),(9,11)],12)
[1,12,7,6,3,4,9,5,11,8,10,2]=>([(0,2),(0,3),(0,4),(0,5),(0,7),(1,8),(1,10),(4,10),(4,11),(5,10),(5,11),(6,1),(6,11),(7,6),(10,9),(11,8),(11,9)],12)
[1,12,7,6,3,4,11,10,5,8,9,2]=>([(0,3),(0,4),(0,5),(0,6),(0,8),(2,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,2),(7,9),(7,10),(8,7),(11,1)],12)
[1,10,9,6,3,8,4,5,7,12,11,2]=>([(0,2),(0,3),(0,4),(0,5),(0,7),(1,9),(3,10),(3,11),(4,10),(4,11),(5,8),(5,9),(6,1),(7,6),(7,8),(8,10),(8,11),(9,10),(9,11)],12)
[1,12,9,6,3,8,4,5,11,7,10,2]=>([(0,2),(0,3),(0,4),(0,5),(0,7),(1,8),(1,10),(4,10),(4,11),(5,8),(5,9),(6,1),(7,6),(7,9),(8,11),(9,10),(9,11)],12)
[1,12,11,6,3,8,4,10,5,7,9,2]=>([(0,2),(0,3),(0,4),(0,5),(0,7),(1,9),(5,8),(5,9),(6,1),(6,10),(7,6),(7,8),(8,10),(8,11),(9,11)],12)
[1,12,11,6,3,10,9,4,5,7,8,2]=>([(0,3),(0,4),(0,5),(0,6),(0,8),(2,11),(6,9),(6,10),(6,11),(7,2),(8,7),(8,9),(8,10),(11,1)],12)
[1,10,9,8,7,3,4,5,6,12,11,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,9),(1,10),(1,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,8),(8,1),(9,7)],12)
[1,12,9,8,7,3,4,5,11,6,10,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,9),(1,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,8),(8,1),(8,10),(9,7)],12)
[1,12,11,8,7,3,4,10,5,6,9,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,9),(1,11),(5,10),(5,11),(6,10),(6,11),(7,1),(8,7),(8,10),(9,8)],12)
[1,12,11,10,7,3,9,4,5,6,8,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,9),(1,11),(6,10),(6,11),(7,8),(8,1),(9,7),(9,10)],12)
[1,12,11,10,9,8,3,4,5,6,7,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,11),(8,10),(9,1),(10,9),(11,8)],12)
[3,1,2,6,5,8,7,10,9,12,11,4]=>([(0,2),(1,5),(1,10),(1,11),(2,5),(2,10),(2,11),(6,8),(6,9),(7,8),(7,9),(8,3),(8,4),(9,3),(9,4),(10,6),(10,7),(11,6),(11,7)],12)
[3,1,2,6,5,8,7,12,11,9,10,4]=>([(0,3),(1,6),(1,8),(1,9),(3,6),(3,8),(3,9),(7,2),(8,10),(8,11),(9,10),(9,11),(10,4),(10,5),(10,7),(11,4),(11,5),(11,7)],12)
[3,1,2,6,5,10,9,7,8,12,11,4]=>([(0,3),(1,4),(1,8),(1,9),(2,10),(2,11),(3,4),(3,8),(3,9),(5,10),(5,11),(6,10),(6,11),(7,2),(8,5),(8,6),(8,7),(9,5),(9,6),(9,7)],12)
[3,1,2,6,5,12,9,7,11,8,10,4]=>([(0,3),(1,6),(1,10),(1,11),(2,7),(3,6),(3,10),(3,11),(8,2),(8,5),(9,5),(9,7),(10,4),(10,8),(10,9),(11,4),(11,8),(11,9)],12)
[3,1,2,6,5,12,11,10,7,8,9,4]=>([(0,4),(1,8),(1,10),(1,11),(2,3),(4,8),(4,10),(4,11),(9,2),(10,5),(10,6),(10,7),(10,9),(11,5),(11,6),(11,7),(11,9)],12)
[3,1,2,8,7,5,6,10,9,12,11,4]=>([(0,3),(1,4),(1,5),(1,6),(1,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,9),(5,10),(5,11),(6,10),(6,11),(9,2),(10,7),(10,8),(11,7),(11,8)],12)
[3,1,2,8,7,5,6,12,11,9,10,4]=>([(0,4),(1,5),(1,6),(1,7),(1,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,3),(11,2)],12)
[3,1,2,10,7,5,9,6,8,12,11,4]=>([(0,3),(1,4),(1,6),(1,8),(1,9),(2,7),(3,4),(3,6),(3,8),(3,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,2),(8,5),(9,5),(9,7)],12)
[3,1,2,12,7,5,9,6,11,8,10,4]=>([(0,3),(1,5),(1,6),(1,8),(1,11),(2,7),(2,9),(3,5),(3,6),(3,8),(3,11),(8,2),(8,10),(9,4),(10,4),(10,7),(11,9),(11,10)],12)
[3,1,2,12,7,5,11,10,6,8,9,4]=>([(0,4),(1,7),(1,8),(1,10),(1,11),(3,9),(4,7),(4,8),(4,10),(4,11),(9,2),(10,3),(10,5),(10,6),(11,5),(11,6),(11,9)],12)
[3,1,2,10,9,8,5,6,7,12,11,4]=>([(0,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,2)],12)
[3,1,2,12,9,8,5,6,11,7,10,4]=>([(0,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,11),(3,10),(4,5),(4,6),(4,7),(4,8),(4,9),(7,10),(7,11),(8,10),(8,11),(9,2)],12)
[3,1,2,12,11,8,5,10,6,7,9,4]=>([(0,4),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(3,6),(4,7),(4,8),(4,9),(4,10),(4,11),(10,2),(10,5),(11,5),(11,6)],12)
[3,1,2,12,11,10,9,5,6,7,8,4]=>([(0,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(4,3),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(11,2)],12)
[3,1,5,2,4,8,7,10,9,12,11,6]=>([(0,2),(0,11),(1,10),(1,11),(2,10),(6,8),(6,9),(7,8),(7,9),(8,3),(8,4),(9,3),(9,4),(10,5),(10,6),(10,7),(11,5),(11,6),(11,7)],12)
[3,1,5,2,4,8,7,12,11,9,10,6]=>([(0,3),(0,11),(1,10),(1,11),(3,10),(7,2),(8,5),(8,6),(8,7),(9,5),(9,6),(9,7),(10,4),(10,8),(10,9),(11,4),(11,8),(11,9)],12)
[3,1,5,2,4,10,9,7,8,12,11,6]=>([(0,3),(0,9),(1,8),(1,9),(2,10),(2,11),(3,8),(5,10),(5,11),(6,10),(6,11),(7,2),(8,4),(8,5),(8,6),(8,7),(9,4),(9,5),(9,6),(9,7)],12)
[3,1,5,2,4,12,9,7,11,8,10,6]=>([(0,3),(0,11),(1,10),(1,11),(2,7),(3,10),(8,2),(8,6),(9,6),(9,7),(10,4),(10,5),(10,8),(10,9),(11,4),(11,5),(11,8),(11,9)],12)
[3,1,5,2,4,12,11,10,7,8,9,6]=>([(0,4),(0,11),(1,10),(1,11),(2,3),(4,10),(9,2),(10,5),(10,6),(10,7),(10,8),(10,9),(11,5),(11,6),(11,7),(11,8),(11,9)],12)
[3,1,5,2,7,4,6,10,9,12,11,8]=>([(0,2),(0,9),(1,6),(1,9),(2,6),(2,11),(6,10),(7,4),(7,5),(8,4),(8,5),(9,10),(9,11),(10,3),(10,7),(10,8),(11,3),(11,7),(11,8)],12)
[3,1,5,2,7,4,6,12,11,9,10,8]=>([(0,3),(0,9),(1,8),(1,9),(3,8),(3,11),(7,2),(8,10),(9,10),(9,11),(10,4),(10,5),(10,6),(10,7),(11,4),(11,5),(11,6),(11,7)],12)
[3,1,5,2,7,4,9,6,8,12,11,10]=>([(0,2),(0,9),(1,8),(1,9),(2,7),(2,8),(6,11),(7,10),(7,11),(8,6),(8,10),(9,6),(9,7),(10,3),(10,4),(10,5),(11,3),(11,4),(11,5)],12)
[3,1,5,2,7,4,9,6,11,8,10,12]=>([(0,2),(0,11),(1,10),(1,11),(2,9),(2,10),(4,6),(5,3),(6,3),(7,4),(7,5),(8,5),(8,6),(9,4),(9,8),(10,7),(10,8),(11,7),(11,9)],12)
[3,1,5,2,7,4,11,10,6,8,9,12]=>([(0,3),(0,8),(1,8),(1,10),(2,11),(3,9),(3,10),(4,11),(5,11),(6,2),(7,6),(8,7),(8,9),(9,4),(9,5),(9,6),(10,4),(10,5),(10,7)],12)
[3,1,5,2,9,8,4,6,7,12,11,10]=>([(0,3),(0,8),(1,7),(1,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,2),(7,6),(8,4),(8,5),(8,6)],12)
[3,1,5,2,9,8,4,6,11,7,10,12]=>([(0,3),(0,9),(1,8),(1,9),(2,11),(3,4),(3,5),(3,8),(4,10),(4,11),(5,10),(5,11),(7,2),(7,10),(8,7),(9,4),(9,5),(9,7),(10,6),(11,6)],12)
[3,1,5,2,11,8,4,10,6,7,9,12]=>([(0,3),(0,10),(1,9),(1,10),(2,7),(3,5),(3,8),(3,9),(4,11),(5,11),(6,2),(7,11),(8,4),(8,7),(9,4),(9,6),(10,5),(10,6),(10,8)],12)
[3,1,5,2,11,10,9,4,6,7,8,12]=>([(0,4),(0,10),(1,9),(1,10),(2,3),(3,11),(4,5),(4,6),(4,7),(4,9),(5,11),(6,11),(7,11),(8,2),(9,8),(10,5),(10,6),(10,7),(10,8)],12)
[3,1,7,6,2,4,5,10,9,12,11,8]=>([(0,3),(0,7),(0,8),(1,6),(1,7),(1,8),(2,9),(2,10),(2,11),(3,6),(6,2),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(10,4),(10,5),(11,4),(11,5)],12)
[3,1,7,6,2,4,5,12,11,9,10,8]=>([(0,3),(0,6),(0,7),(1,5),(1,6),(1,7),(3,5),(4,8),(4,9),(4,10),(4,11),(5,4),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(11,2)],12)
[3,1,7,6,2,4,9,5,8,12,11,10]=>([(0,3),(0,8),(0,9),(1,7),(1,8),(1,9),(2,11),(3,7),(7,2),(7,10),(8,10),(8,11),(9,10),(9,11),(10,4),(10,5),(10,6),(11,4),(11,5),(11,6)],12)
[3,1,7,6,2,4,9,5,11,8,10,12]=>([(0,3),(0,6),(0,7),(1,5),(1,6),(1,7),(2,9),(2,11),(3,5),(5,2),(5,10),(6,10),(6,11),(7,10),(7,11),(8,4),(9,4),(10,8),(10,9),(11,8)],12)
[3,1,7,6,2,4,11,10,5,8,9,12]=>([(0,5),(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(3,8),(4,9),(5,4),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(9,3),(10,8),(11,8)],12)
[3,1,9,6,2,8,4,5,7,12,11,10]=>([(0,3),(0,7),(0,8),(1,5),(1,7),(1,8),(2,6),(3,4),(3,5),(4,9),(4,10),(4,11),(5,2),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,4),(8,6)],12)
[3,1,9,6,2,8,4,5,11,7,10,12]=>([(0,3),(0,8),(0,9),(1,6),(1,8),(1,9),(2,7),(2,11),(3,4),(3,6),(4,10),(4,11),(6,2),(7,10),(8,10),(8,11),(9,4),(9,7),(10,5),(11,5)],12)
[3,1,11,6,2,8,4,10,5,7,9,12]=>([(0,3),(0,6),(0,10),(1,6),(1,7),(1,10),(2,8),(3,7),(3,9),(4,11),(5,11),(6,11),(7,2),(7,5),(8,4),(9,4),(9,5),(10,8),(10,9)],12)
[3,1,11,6,2,10,9,4,5,7,8,12]=>([(0,4),(0,9),(0,10),(1,5),(1,9),(1,10),(2,11),(3,8),(4,5),(4,6),(4,7),(5,3),(6,11),(7,11),(8,2),(9,11),(10,6),(10,7),(10,8)],12)
[3,1,9,8,7,2,4,5,6,12,11,10]=>([(0,4),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,3),(3,9),(3,10),(3,11),(4,5),(5,2),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[3,1,9,8,7,2,4,5,11,6,10,12]=>([(0,4),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,3),(2,11),(3,10),(4,6),(6,2),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,5),(11,5)],12)
[3,1,11,8,7,2,4,10,5,6,9,12]=>([(0,4),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,3),(3,9),(4,5),(5,2),(5,10),(6,11),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[3,1,11,10,7,2,9,4,5,6,8,12]=>([(0,4),(0,8),(0,9),(0,10),(1,7),(1,8),(1,9),(1,10),(2,3),(3,6),(4,5),(4,7),(5,11),(6,11),(7,2),(8,11),(9,11),(10,5),(10,6)],12)
[3,1,11,10,9,8,2,4,5,6,7,12]=>([(0,5),(0,7),(0,8),(0,9),(0,10),(1,6),(1,7),(1,8),(1,9),(1,10),(2,4),(3,11),(4,3),(5,6),(6,2),(7,11),(8,11),(9,11),(10,11)],12)
[5,4,1,2,3,8,7,10,9,12,11,6]=>([(0,4),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,3),(7,5),(7,6),(8,5),(8,6),(10,7),(10,8),(11,7),(11,8)],12)
[5,4,1,2,3,8,7,12,11,9,10,6]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,4),(4,5),(5,9),(5,10),(5,11),(8,3),(10,6),(10,7),(10,8),(11,6),(11,7),(11,8)],12)
[5,4,1,2,3,10,9,7,8,12,11,6]=>([(0,3),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,5),(4,6),(4,7),(5,8),(5,9),(5,10),(5,11),(9,4),(10,6),(10,7),(11,6),(11,7)],12)
[5,4,1,2,3,12,9,7,11,8,10,6]=>([(0,4),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,7),(4,5),(5,8),(5,9),(5,10),(5,11),(10,6),(10,7),(11,3),(11,6)],12)
[5,4,1,2,3,12,11,10,7,8,9,6]=>([(0,4),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(4,6),(6,7),(6,8),(6,9),(6,10),(6,11),(11,3)],12)
[5,4,1,2,7,3,6,10,9,12,11,8]=>([(0,4),(1,10),(1,11),(2,10),(2,11),(3,11),(4,3),(4,10),(8,5),(8,6),(9,5),(9,6),(10,7),(10,8),(10,9),(11,7),(11,8),(11,9)],12)
[5,4,1,2,7,3,6,12,11,9,10,8]=>([(0,5),(1,10),(1,11),(2,10),(2,11),(4,11),(5,4),(5,10),(9,3),(10,6),(10,7),(10,8),(10,9),(11,6),(11,7),(11,8),(11,9)],12)
[5,4,1,2,7,3,9,6,8,12,11,10]=>([(0,10),(0,11),(1,10),(1,11),(2,3),(3,4),(3,11),(4,8),(4,10),(8,5),(8,6),(8,7),(9,5),(9,6),(9,7),(10,9),(11,8),(11,9)],12)
[5,4,1,2,7,3,9,6,11,8,10,12]=>([(0,10),(0,11),(1,10),(1,11),(2,3),(3,4),(3,10),(4,9),(4,11),(6,5),(7,5),(8,6),(9,6),(9,7),(10,8),(10,9),(11,7),(11,8)],12)
[5,4,1,2,7,3,11,10,6,8,9,12]=>([(0,9),(0,10),(1,9),(1,10),(2,4),(3,11),(4,5),(4,10),(5,6),(5,7),(5,9),(6,11),(7,11),(8,3),(9,8),(10,6),(10,7),(10,8)],12)
[5,4,1,2,9,8,3,6,7,12,11,10]=>([(0,4),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(4,3),(4,10),(4,11),(5,6),(5,7),(5,8),(9,5),(10,6),(10,7),(10,8),(11,6),(11,7),(11,8)],12)
[5,4,1,2,9,8,3,6,11,7,10,12]=>([(0,5),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(4,9),(5,4),(5,10),(5,11),(7,6),(8,6),(9,3),(9,7),(10,7),(10,8),(11,7),(11,8)],12)
[5,4,1,2,11,8,3,10,6,7,9,12]=>([(0,5),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,7),(4,6),(4,10),(5,4),(5,9),(5,11),(6,8),(7,8),(9,6),(9,7),(10,3),(11,8)],12)
[5,4,1,2,11,10,9,3,6,7,8,12]=>([(0,7),(0,8),(0,9),(0,10),(1,7),(1,8),(1,9),(1,10),(2,5),(3,11),(4,7),(5,4),(5,8),(5,9),(5,10),(6,3),(7,6),(8,11),(9,11),(10,11)],12)
[7,4,1,6,2,3,5,10,9,12,11,8]=>([(0,9),(0,10),(0,11),(1,3),(1,6),(2,5),(2,6),(3,4),(4,5),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(10,7),(10,8),(11,7),(11,8)],12)
[7,4,1,6,2,3,5,12,11,9,10,8]=>([(0,5),(0,7),(1,6),(1,7),(2,8),(2,9),(2,10),(2,11),(4,6),(5,4),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(11,3)],12)
[7,4,1,6,2,3,9,5,8,12,11,10]=>([(0,10),(0,11),(1,3),(1,6),(2,5),(2,6),(3,4),(4,5),(4,11),(5,10),(6,10),(6,11),(10,7),(10,8),(10,9),(11,7),(11,8),(11,9)],12)
[7,4,1,6,2,3,9,5,11,8,10,12]=>([(0,10),(0,11),(1,3),(1,6),(2,6),(2,8),(3,4),(4,8),(4,11),(6,10),(6,11),(7,5),(8,7),(8,10),(9,5),(10,9),(11,7),(11,9)],12)
[7,4,1,6,2,3,11,10,5,8,9,12]=>([(0,6),(0,7),(1,3),(1,7),(2,9),(2,10),(2,11),(3,5),(4,8),(5,6),(5,10),(5,11),(6,9),(7,9),(7,10),(7,11),(9,4),(10,8),(11,8)],12)
[9,4,1,6,2,8,3,5,7,12,11,10]=>([(0,9),(0,10),(0,11),(1,3),(1,8),(2,7),(2,8),(3,4),(3,6),(4,7),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,5),(8,5),(8,6)],12)
[9,4,1,6,2,8,3,5,11,7,10,12]=>([(0,10),(0,11),(1,3),(1,9),(2,8),(2,9),(3,4),(3,7),(4,8),(5,10),(7,10),(7,11),(8,5),(8,11),(9,5),(9,7),(10,6),(11,6)],12)
[11,4,1,6,2,8,3,10,5,7,9,12]=>([(0,11),(1,3),(1,9),(2,8),(2,9),(3,4),(3,10),(4,6),(4,8),(5,11),(6,11),(7,5),(8,7),(9,7),(9,10),(10,5),(10,6)],12)
[11,4,1,6,2,10,9,3,5,7,8,12]=>([(0,11),(1,5),(1,10),(2,9),(2,10),(3,11),(4,9),(5,4),(5,6),(5,7),(6,11),(7,11),(8,3),(9,8),(10,6),(10,7),(10,8)],12)
[9,4,1,8,7,2,3,5,6,12,11,10]=>([(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(2,3),(2,6),(2,7),(3,5),(4,9),(4,10),(4,11),(5,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,4)],12)
[9,4,1,8,7,2,3,5,11,6,10,12]=>([(0,10),(0,11),(1,4),(1,6),(1,7),(2,6),(2,7),(2,9),(3,11),(4,5),(5,9),(6,10),(6,11),(7,10),(7,11),(9,3),(9,10),(10,8),(11,8)],12)
[11,4,1,8,7,2,3,10,5,6,9,12]=>([(0,9),(1,6),(1,7),(1,8),(2,4),(2,6),(2,7),(3,11),(4,5),(5,8),(5,10),(6,10),(6,11),(7,10),(7,11),(8,3),(10,9),(11,9)],12)
[11,4,1,10,7,2,9,3,5,6,8,12]=>([(0,11),(1,4),(1,6),(1,10),(2,6),(2,7),(2,10),(3,8),(4,5),(4,9),(5,7),(6,11),(7,3),(8,11),(9,11),(10,8),(10,9)],12)
[11,4,1,10,9,8,2,3,5,6,7,12]=>([(0,11),(1,7),(1,8),(1,9),(1,10),(2,5),(2,8),(2,9),(2,10),(3,11),(4,7),(5,4),(6,3),(7,6),(8,11),(9,11),(10,11)],12)
[7,6,5,1,2,3,4,10,9,12,11,8]=>([(0,4),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,6),(5,9),(5,10),(5,11),(6,5),(10,7),(10,8),(11,7),(11,8)],12)
[7,6,5,1,2,3,4,12,11,9,10,8]=>([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,5),(5,6),(6,7),(7,8),(7,9),(7,10),(7,11),(11,4)],12)
[7,6,5,1,2,3,9,4,8,12,11,10]=>([(0,4),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,6),(5,10),(6,5),(6,11),(10,7),(10,8),(10,9),(11,7),(11,8),(11,9)],12)
[7,6,5,1,2,3,9,4,11,8,10,12]=>([(0,4),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,6),(5,9),(5,10),(6,5),(6,11),(7,8),(9,8),(10,7),(11,7),(11,9)],12)
[7,6,5,1,2,3,11,10,4,8,9,12]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,4),(4,7),(5,8),(6,11),(7,6),(7,9),(7,10),(9,8),(10,8),(11,5)],12)
[9,6,5,1,2,8,3,4,7,12,11,10]=>([(0,6),(1,10),(1,11),(2,10),(2,11),(3,7),(3,8),(3,9),(4,5),(5,10),(6,4),(6,11),(10,7),(10,8),(10,9),(11,7),(11,8),(11,9)],12)
[9,6,5,1,2,8,3,4,11,7,10,12]=>([(0,9),(0,11),(1,4),(2,8),(2,10),(3,8),(3,10),(4,6),(4,8),(5,10),(5,11),(6,5),(8,9),(8,11),(9,7),(10,9),(11,7)],12)
[11,6,5,1,2,8,3,10,4,7,9,12]=>([(0,10),(1,4),(2,9),(2,11),(3,9),(3,11),(4,6),(4,9),(5,11),(6,5),(6,8),(7,10),(8,10),(9,7),(9,8),(11,7)],12)
[11,6,5,1,2,10,9,3,4,7,8,12]=>([(0,11),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,5),(4,11),(5,6),(5,9),(5,10),(6,7),(7,8),(8,4),(9,11),(10,11)],12)
[9,8,5,1,7,2,3,4,6,12,11,10]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,7),(2,8),(3,4),(3,7),(4,6),(5,8),(6,5),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[9,8,5,1,7,2,3,4,11,6,10,12]=>([(0,10),(0,11),(1,10),(1,11),(2,7),(2,9),(3,4),(3,7),(4,6),(5,9),(5,11),(6,5),(7,10),(7,11),(9,10),(10,8),(11,8)],12)
[11,8,5,1,7,2,3,10,4,6,9,12]=>([(0,10),(0,11),(1,9),(2,7),(2,8),(3,4),(3,7),(4,6),(5,8),(6,5),(6,11),(7,10),(7,11),(8,10),(10,9),(11,9)],12)
[11,10,5,1,7,2,9,3,4,6,8,12]=>([(0,7),(0,10),(1,4),(1,7),(2,11),(3,11),(4,6),(4,9),(5,10),(6,5),(7,8),(7,9),(8,11),(9,11),(10,8)],12)
[11,10,5,1,9,8,2,3,4,6,7,12]=>([(0,11),(1,11),(2,8),(2,9),(2,10),(3,4),(3,8),(3,9),(4,6),(5,11),(6,7),(7,10),(8,11),(9,11),(10,5)],12)
[9,8,7,6,1,2,3,4,5,12,11,10]=>([(0,5),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(6,9),(6,10),(6,11),(7,6),(8,7)],12)
[9,8,7,6,1,2,3,4,11,5,10,12]=>([(0,5),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,7),(6,11),(7,8),(8,6),(8,10),(10,9),(11,9)],12)
[11,8,7,6,1,2,3,10,4,5,9,12]=>([(0,5),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,9),(5,8),(6,11),(7,6),(8,7),(8,10),(10,9),(11,9)],12)
[11,10,7,6,1,2,9,3,4,5,8,12]=>([(0,5),(1,11),(2,11),(3,9),(3,10),(4,9),(4,10),(5,8),(5,9),(6,10),(7,6),(8,7),(9,11),(10,11)],12)
[11,10,9,6,1,8,2,3,4,5,7,12]=>([(0,11),(1,11),(2,11),(3,9),(3,10),(4,5),(4,9),(5,8),(6,10),(7,6),(8,7),(9,11),(10,11)],12)
[11,10,9,8,7,1,2,3,4,5,6,12]=>([(0,6),(1,11),(2,11),(3,11),(4,11),(5,11),(6,10),(7,11),(8,9),(9,7),(10,8)],12)
[2,4,3,6,5,8,7,10,9,12,11,1]=>([(1,2),(1,3),(2,10),(2,11),(3,10),(3,11),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)
[12,2,3,4,5,6,7,8,9,10,1,11]=>([(1,11),(2,10),(3,11),(4,5),(5,7),(6,4),(7,9),(8,6),(9,3),(10,8)],12)
[3,12,1,4,5,6,7,8,9,10,11,2]=>([(0,4),(0,11),(1,3),(1,11),(5,7),(6,5),(7,9),(8,6),(9,2),(10,8),(11,10)],12)
[12,3,4,5,6,7,8,9,10,11,1,2]=>([(1,11),(2,4),(5,6),(6,8),(7,5),(8,10),(9,7),(10,3),(11,9)],12)
[2,1,4,3,6,5,8,7,11,10,12,9]=>([(0,8),(0,9),(1,8),(1,9),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,2),(10,4),(10,5),(11,2),(11,4),(11,5)],12)
[2,1,4,3,6,5,9,8,10,7,12,11]=>([(0,8),(0,9),(1,8),(1,9),(4,7),(5,7),(6,2),(6,3),(7,2),(7,3),(8,10),(8,11),(9,10),(9,11),(10,4),(10,5),(10,6),(11,4),(11,5),(11,6)],12)
[2,1,4,3,6,5,9,8,11,10,12,7]=>([(0,8),(0,9),(1,8),(1,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,10),(8,11),(9,10),(9,11),(10,2),(10,6),(10,7),(11,2),(11,6),(11,7)],12)
[2,1,4,3,6,5,10,9,11,8,12,7]=>([(0,8),(0,9),(1,8),(1,9),(4,6),(5,6),(6,2),(7,2),(8,10),(8,11),(9,10),(9,11),(10,3),(10,4),(10,5),(10,7),(11,3),(11,4),(11,5),(11,7)],12)
[2,1,4,3,7,6,8,5,10,9,12,11]=>([(0,10),(0,11),(1,10),(1,11),(4,7),(5,7),(6,8),(6,9),(7,8),(7,9),(8,2),(8,3),(9,2),(9,3),(10,4),(10,5),(10,6),(11,4),(11,5),(11,6)],12)
[2,1,4,3,7,6,8,5,11,10,12,9]=>([(0,10),(0,11),(1,10),(1,11),(4,8),(5,8),(6,2),(7,2),(8,3),(8,6),(8,7),(9,3),(9,6),(9,7),(10,4),(10,5),(10,9),(11,4),(11,5),(11,9)],12)
[2,1,4,3,7,6,9,8,10,5,12,11]=>([(0,10),(0,11),(1,10),(1,11),(4,9),(5,9),(6,4),(6,5),(7,4),(7,5),(8,2),(8,3),(9,2),(9,3),(10,6),(10,7),(10,8),(11,6),(11,7),(11,8)],12)
[2,1,4,3,7,6,9,8,11,10,12,5]=>([(0,10),(0,11),(1,10),(1,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,2),(10,6),(10,7),(11,2),(11,6),(11,7)],12)
[2,1,4,3,7,6,10,9,11,8,12,5]=>([(0,10),(0,11),(1,10),(1,11),(4,6),(5,6),(6,2),(7,2),(8,4),(8,5),(8,7),(9,4),(9,5),(9,7),(10,3),(10,8),(10,9),(11,3),(11,8),(11,9)],12)
[2,1,4,3,8,7,9,6,10,5,12,11]=>([(0,10),(0,11),(1,10),(1,11),(4,6),(5,6),(6,8),(7,8),(8,2),(8,3),(9,2),(9,3),(10,4),(10,5),(10,7),(10,9),(11,4),(11,5),(11,7),(11,9)],12)
[2,1,4,3,8,7,9,6,11,10,12,5]=>([(0,10),(0,11),(1,10),(1,11),(4,8),(5,8),(6,2),(7,2),(8,6),(8,7),(9,6),(9,7),(10,3),(10,4),(10,5),(10,9),(11,3),(11,4),(11,5),(11,9)],12)
[2,1,4,3,8,7,10,9,11,6,12,5]=>([(0,10),(0,11),(1,10),(1,11),(4,6),(5,6),(6,2),(7,2),(8,4),(8,5),(9,4),(9,5),(10,3),(10,7),(10,8),(10,9),(11,3),(11,7),(11,8),(11,9)],12)
[2,1,4,3,9,8,10,7,11,6,12,5]=>([(0,10),(0,11),(1,10),(1,11),(4,8),(5,4),(6,4),(7,8),(8,2),(9,2),(10,3),(10,5),(10,6),(10,7),(10,9),(11,3),(11,5),(11,6),(11,7),(11,9)],12)
[2,1,5,4,6,3,8,7,10,9,12,11]=>([(0,4),(0,5),(0,11),(1,4),(1,5),(1,11),(4,8),(5,8),(6,9),(6,10),(7,9),(7,10),(8,6),(8,7),(9,2),(9,3),(10,2),(10,3),(11,6),(11,7)],12)
[2,1,5,4,6,3,8,7,11,10,12,9]=>([(0,6),(0,7),(0,9),(1,6),(1,7),(1,9),(4,2),(5,2),(6,8),(7,8),(8,10),(8,11),(9,10),(9,11),(10,3),(10,4),(10,5),(11,3),(11,4),(11,5)],12)
[2,1,5,4,6,3,9,8,10,7,12,11]=>([(0,6),(0,7),(0,11),(1,6),(1,7),(1,11),(4,8),(5,8),(6,10),(7,10),(8,2),(8,3),(9,2),(9,3),(10,4),(10,5),(10,9),(11,4),(11,5),(11,9)],12)
[2,1,5,4,6,3,9,8,11,10,12,7]=>([(0,6),(0,7),(0,11),(1,6),(1,7),(1,11),(4,2),(5,2),(6,10),(7,10),(8,4),(8,5),(9,4),(9,5),(10,3),(10,8),(10,9),(11,3),(11,8),(11,9)],12)
[2,1,5,4,6,3,10,9,11,8,12,7]=>([(0,8),(0,9),(0,11),(1,8),(1,9),(1,11),(4,6),(5,6),(6,2),(7,2),(8,10),(9,10),(10,3),(10,4),(10,5),(10,7),(11,3),(11,4),(11,5),(11,7)],12)
[2,1,5,4,7,6,8,3,10,9,12,11]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(4,6),(5,6),(6,7),(6,8),(7,2),(7,3),(8,2),(8,3),(9,7),(9,8),(10,4),(10,5),(11,4),(11,5)],12)
[2,1,5,4,7,6,8,3,11,10,12,9]=>([(0,8),(0,9),(0,11),(1,8),(1,9),(1,11),(4,10),(5,10),(6,2),(7,2),(8,4),(8,5),(9,4),(9,5),(10,3),(10,6),(10,7),(11,3),(11,6),(11,7)],12)
[2,1,5,4,7,6,9,8,10,3,12,11]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(4,8),(5,8),(6,4),(6,5),(7,4),(7,5),(8,2),(8,3),(9,6),(9,7),(10,6),(10,7),(11,2),(11,3)],12)
[2,1,5,4,7,6,9,8,11,10,12,3]=>([(0,3),(0,10),(0,11),(1,3),(1,10),(1,11),(4,2),(5,2),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)
[2,1,5,4,7,6,10,9,11,8,12,3]=>([(0,3),(0,8),(0,9),(1,3),(1,8),(1,9),(4,6),(5,6),(6,2),(7,2),(8,10),(8,11),(9,10),(9,11),(10,4),(10,5),(10,7),(11,4),(11,5),(11,7)],12)
[2,1,5,4,8,7,9,6,10,3,12,11]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(4,6),(5,6),(6,8),(7,8),(8,2),(8,3),(9,2),(9,3),(10,4),(10,5),(10,7),(11,4),(11,5),(11,7)],12)
[2,1,5,4,8,7,9,6,11,10,12,3]=>([(0,3),(0,10),(0,11),(1,3),(1,10),(1,11),(4,8),(5,8),(6,2),(7,2),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(10,9),(11,4),(11,5),(11,9)],12)
[2,1,5,4,8,7,10,9,11,6,12,3]=>([(0,3),(0,10),(0,11),(1,3),(1,10),(1,11),(4,6),(5,6),(6,2),(7,2),(8,4),(8,5),(9,4),(9,5),(10,7),(10,8),(10,9),(11,7),(11,8),(11,9)],12)
[2,1,5,4,9,8,10,7,11,6,12,3]=>([(0,3),(0,10),(0,11),(1,3),(1,10),(1,11),(4,8),(5,4),(6,4),(7,8),(8,2),(9,2),(10,5),(10,6),(10,7),(10,9),(11,5),(11,6),(11,7),(11,9)],12)
[2,1,6,5,7,4,8,3,10,9,12,11]=>([(0,5),(0,6),(0,7),(0,11),(1,5),(1,6),(1,7),(1,11),(4,8),(5,8),(6,4),(7,4),(8,9),(8,10),(9,2),(9,3),(10,2),(10,3),(11,9),(11,10)],12)
[2,1,6,5,7,4,8,3,11,10,12,9]=>([(0,7),(0,8),(0,9),(0,11),(1,7),(1,8),(1,9),(1,11),(4,10),(5,2),(6,2),(7,4),(8,4),(9,10),(10,3),(10,5),(10,6),(11,3),(11,5),(11,6)],12)
[2,1,6,5,7,4,9,8,10,3,12,11]=>([(0,6),(0,7),(0,10),(0,11),(1,6),(1,7),(1,10),(1,11),(4,9),(5,9),(6,8),(7,8),(8,4),(8,5),(9,2),(9,3),(10,4),(10,5),(11,2),(11,3)],12)
[2,1,6,5,7,4,9,8,11,10,12,3]=>([(0,3),(0,6),(0,7),(0,11),(1,3),(1,6),(1,7),(1,11),(4,2),(5,2),(6,8),(7,8),(8,9),(8,10),(9,4),(9,5),(10,4),(10,5),(11,9),(11,10)],12)
[2,1,6,5,7,4,10,9,11,8,12,3]=>([(0,3),(0,8),(0,9),(0,11),(1,3),(1,8),(1,9),(1,11),(4,6),(5,6),(6,2),(7,2),(8,10),(9,10),(10,4),(10,5),(10,7),(11,4),(11,5),(11,7)],12)
[2,1,6,5,8,7,9,4,10,3,12,11]=>([(0,7),(0,9),(0,10),(0,11),(1,7),(1,9),(1,10),(1,11),(4,8),(5,4),(6,4),(7,8),(8,2),(8,3),(9,5),(9,6),(10,5),(10,6),(11,2),(11,3)],12)
[2,1,6,5,8,7,9,4,11,10,12,3]=>([(0,3),(0,9),(0,10),(0,11),(1,3),(1,9),(1,10),(1,11),(4,8),(5,8),(6,2),(7,2),(8,6),(8,7),(9,4),(9,5),(10,4),(10,5),(11,6),(11,7)],12)
[2,1,6,5,8,7,10,9,11,4,12,3]=>([(0,3),(0,7),(0,10),(0,11),(1,3),(1,7),(1,10),(1,11),(4,6),(5,6),(6,2),(7,2),(8,4),(8,5),(9,4),(9,5),(10,8),(10,9),(11,8),(11,9)],12)
[2,1,6,5,9,8,10,7,11,4,12,3]=>([(0,3),(0,9),(0,10),(0,11),(1,3),(1,9),(1,10),(1,11),(4,8),(5,4),(6,4),(7,8),(8,2),(9,2),(10,5),(10,6),(10,7),(11,5),(11,6),(11,7)],12)
[2,1,7,6,8,5,9,4,10,3,12,11]=>([(0,6),(0,7),(0,8),(0,9),(0,11),(1,6),(1,7),(1,8),(1,9),(1,11),(4,5),(5,10),(6,5),(7,4),(8,4),(9,10),(10,2),(10,3),(11,2),(11,3)],12)
[2,1,7,6,8,5,9,4,11,10,12,3]=>([(0,3),(0,7),(0,8),(0,9),(0,11),(1,3),(1,7),(1,8),(1,9),(1,11),(4,10),(5,2),(6,2),(7,4),(8,4),(9,10),(10,5),(10,6),(11,5),(11,6)],12)
[2,1,7,6,8,5,10,9,11,4,12,3]=>([(0,3),(0,7),(0,8),(0,9),(0,11),(1,3),(1,7),(1,8),(1,9),(1,11),(4,6),(5,6),(6,2),(7,10),(8,10),(9,2),(10,4),(10,5),(11,4),(11,5)],12)
[2,1,7,6,9,8,10,5,11,4,12,3]=>([(0,3),(0,8),(0,9),(0,10),(0,11),(1,3),(1,8),(1,9),(1,10),(1,11),(4,7),(5,4),(6,4),(7,2),(8,7),(9,2),(10,5),(10,6),(11,5),(11,6)],12)
[2,1,8,7,9,6,10,5,11,4,12,3]=>([(0,3),(0,7),(0,8),(0,9),(0,10),(0,11),(1,3),(1,7),(1,8),(1,9),(1,10),(1,11),(4,5),(5,6),(6,2),(7,5),(8,6),(9,4),(10,4),(11,2)],12)
[3,2,4,1,6,5,8,7,10,9,12,11]=>([(0,11),(1,11),(2,9),(2,10),(5,7),(5,8),(6,7),(6,8),(7,3),(7,4),(8,3),(8,4),(9,5),(9,6),(10,5),(10,6),(11,9),(11,10)],12)
[3,2,4,1,6,5,8,7,11,10,12,9]=>([(0,9),(1,9),(2,7),(2,8),(5,4),(6,4),(7,10),(7,11),(8,10),(8,11),(9,7),(9,8),(10,3),(10,5),(10,6),(11,3),(11,5),(11,6)],12)
[3,2,4,1,6,5,9,8,10,7,12,11]=>([(0,9),(1,9),(2,10),(2,11),(5,8),(6,8),(7,3),(7,4),(8,3),(8,4),(9,10),(9,11),(10,5),(10,6),(10,7),(11,5),(11,6),(11,7)],12)
[3,2,4,1,6,5,9,8,11,10,12,7]=>([(0,9),(1,9),(2,10),(2,11),(5,4),(6,4),(7,5),(7,6),(8,5),(8,6),(9,10),(9,11),(10,3),(10,7),(10,8),(11,3),(11,7),(11,8)],12)
[3,2,4,1,6,5,10,9,11,8,12,7]=>([(0,9),(1,9),(2,10),(2,11),(5,7),(6,7),(7,3),(8,3),(9,10),(9,11),(10,4),(10,5),(10,6),(10,8),(11,4),(11,5),(11,6),(11,8)],12)
[3,2,4,1,7,6,8,5,10,9,12,11]=>([(0,11),(1,11),(2,5),(2,6),(2,10),(5,7),(6,7),(7,8),(7,9),(8,3),(8,4),(9,3),(9,4),(10,8),(10,9),(11,5),(11,6),(11,10)],12)
[3,2,4,1,7,6,8,5,11,10,12,9]=>([(0,11),(1,11),(2,7),(2,8),(2,10),(5,3),(6,3),(7,9),(8,9),(9,4),(9,5),(9,6),(10,4),(10,5),(10,6),(11,7),(11,8),(11,10)],12)
[3,2,4,1,7,6,9,8,10,5,12,11]=>([(0,11),(1,11),(2,8),(2,9),(2,10),(5,7),(6,7),(7,3),(7,4),(8,5),(8,6),(9,5),(9,6),(10,3),(10,4),(11,8),(11,9),(11,10)],12)
[3,2,4,1,7,6,9,8,11,10,12,5]=>([(0,11),(1,11),(2,4),(2,9),(2,10),(5,3),(6,3),(7,5),(7,6),(8,5),(8,6),(9,7),(9,8),(10,7),(10,8),(11,4),(11,9),(11,10)],12)
[3,2,4,1,7,6,10,9,11,8,12,5]=>([(0,11),(1,11),(2,4),(2,9),(2,10),(5,7),(6,7),(7,3),(8,3),(9,5),(9,6),(9,8),(10,5),(10,6),(10,8),(11,4),(11,9),(11,10)],12)
[3,2,4,1,8,7,9,6,10,5,12,11]=>([(0,11),(1,11),(2,6),(2,7),(2,8),(2,10),(5,9),(6,5),(7,5),(8,9),(9,3),(9,4),(10,3),(10,4),(11,6),(11,7),(11,8),(11,10)],12)
[3,2,4,1,8,7,9,6,11,10,12,5]=>([(0,11),(1,11),(2,4),(2,7),(2,8),(2,10),(5,3),(6,3),(7,9),(8,9),(9,5),(9,6),(10,5),(10,6),(11,4),(11,7),(11,8),(11,10)],12)
[3,2,4,1,8,7,10,9,11,6,12,5]=>([(0,11),(1,11),(2,4),(2,8),(2,9),(2,10),(5,7),(6,7),(7,3),(8,3),(9,5),(9,6),(10,5),(10,6),(11,4),(11,8),(11,9),(11,10)],12)
[3,2,4,1,9,8,10,7,11,6,12,5]=>([(0,11),(1,11),(2,4),(2,7),(2,8),(2,9),(2,10),(5,6),(6,3),(7,6),(8,5),(9,5),(10,3),(11,4),(11,7),(11,8),(11,9),(11,10)],12)
[3,2,5,4,6,1,8,7,10,9,12,11]=>([(0,10),(0,11),(1,5),(1,6),(2,5),(2,6),(5,7),(6,7),(7,10),(7,11),(8,3),(8,4),(9,3),(9,4),(10,8),(10,9),(11,8),(11,9)],12)
[3,2,5,4,6,1,8,7,11,10,12,9]=>([(0,7),(0,8),(1,7),(1,8),(2,10),(2,11),(5,3),(6,3),(7,9),(8,9),(9,10),(9,11),(10,4),(10,5),(10,6),(11,4),(11,5),(11,6)],12)
[3,2,5,4,6,1,9,8,10,7,12,11]=>([(0,7),(0,8),(1,7),(1,8),(2,5),(2,6),(2,10),(5,9),(6,9),(7,11),(8,11),(9,3),(9,4),(10,3),(10,4),(11,5),(11,6),(11,10)],12)
[3,2,5,4,6,1,9,8,11,10,12,7]=>([(0,7),(0,8),(1,7),(1,8),(2,4),(2,9),(2,10),(5,3),(6,3),(7,11),(8,11),(9,5),(9,6),(10,5),(10,6),(11,4),(11,9),(11,10)],12)
[3,2,5,4,6,1,10,9,11,8,12,7]=>([(0,9),(0,10),(1,9),(1,10),(2,4),(2,6),(2,7),(2,8),(5,3),(6,5),(7,5),(8,3),(9,11),(10,11),(11,4),(11,6),(11,7),(11,8)],12)
[3,2,5,4,7,6,8,1,10,9,12,11]=>([(0,8),(0,9),(1,10),(1,11),(2,10),(2,11),(5,7),(6,7),(7,8),(7,9),(8,3),(8,4),(9,3),(9,4),(10,5),(10,6),(11,5),(11,6)],12)
[3,2,5,4,7,6,8,1,11,10,12,9]=>([(0,9),(0,10),(1,9),(1,10),(2,4),(2,7),(2,8),(5,11),(6,11),(7,3),(8,3),(9,5),(9,6),(10,5),(10,6),(11,4),(11,7),(11,8)],12)
[3,2,5,4,7,6,9,8,10,1,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,3),(2,4),(5,9),(6,9),(7,5),(7,6),(8,5),(8,6),(9,3),(9,4),(10,7),(10,8),(11,7),(11,8)],12)
[3,2,5,4,7,6,9,8,11,10,12,1]=>([(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)
[3,2,5,4,7,6,10,9,11,8,12,1]=>([(1,8),(1,9),(2,8),(2,9),(4,6),(5,6),(6,3),(7,3),(8,10),(8,11),(9,10),(9,11),(10,4),(10,5),(10,7),(11,4),(11,5),(11,7)],12)
[3,2,5,4,8,7,9,6,10,1,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,3),(2,4),(5,7),(6,7),(7,9),(8,9),(9,3),(9,4),(10,5),(10,6),(10,8),(11,5),(11,6),(11,8)],12)
[3,2,5,4,8,7,9,6,11,10,12,1]=>([(1,10),(1,11),(2,10),(2,11),(4,8),(5,8),(6,3),(7,3),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(10,9),(11,4),(11,5),(11,9)],12)
[3,2,5,4,8,7,10,9,11,6,12,1]=>([(1,10),(1,11),(2,10),(2,11),(4,6),(5,6),(6,3),(7,3),(8,4),(8,5),(9,4),(9,5),(10,7),(10,8),(10,9),(11,7),(11,8),(11,9)],12)
[3,2,5,4,9,8,10,7,11,6,12,1]=>([(1,10),(1,11),(2,10),(2,11),(4,8),(5,4),(6,4),(7,8),(8,3),(9,3),(10,5),(10,6),(10,7),(10,9),(11,5),(11,6),(11,7),(11,9)],12)
[3,2,6,5,7,4,8,1,10,9,12,11]=>([(0,10),(0,11),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(5,9),(6,9),(7,5),(8,5),(9,10),(9,11),(10,3),(10,4),(11,3),(11,4)],12)
[3,2,6,5,7,4,8,1,11,10,12,9]=>([(0,8),(0,9),(0,10),(1,8),(1,9),(1,10),(2,4),(2,6),(2,7),(5,11),(6,3),(7,3),(8,5),(9,5),(10,11),(11,4),(11,6),(11,7)],12)
[3,2,6,5,7,4,9,8,10,1,12,11]=>([(0,3),(0,4),(1,7),(1,8),(1,11),(2,7),(2,8),(2,11),(5,10),(6,10),(7,9),(8,9),(9,5),(9,6),(10,3),(10,4),(11,5),(11,6)],12)
[3,2,6,5,7,4,9,8,11,10,12,1]=>([(1,6),(1,7),(1,11),(2,6),(2,7),(2,11),(4,3),(5,3),(6,8),(7,8),(8,9),(8,10),(9,4),(9,5),(10,4),(10,5),(11,9),(11,10)],12)
[3,2,6,5,7,4,10,9,11,8,12,1]=>([(1,8),(1,9),(1,11),(2,8),(2,9),(2,11),(4,6),(5,6),(6,3),(7,3),(8,10),(9,10),(10,4),(10,5),(10,7),(11,4),(11,5),(11,7)],12)
[3,2,6,5,8,7,9,4,10,1,12,11]=>([(0,3),(0,4),(1,8),(1,10),(1,11),(2,8),(2,10),(2,11),(5,9),(6,5),(7,5),(8,9),(9,3),(9,4),(10,6),(10,7),(11,6),(11,7)],12)
[3,2,6,5,8,7,9,4,11,10,12,1]=>([(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(4,8),(5,8),(6,3),(7,3),(8,6),(8,7),(9,4),(9,5),(10,4),(10,5),(11,6),(11,7)],12)
[3,2,6,5,8,7,10,9,11,4,12,1]=>([(1,7),(1,10),(1,11),(2,7),(2,10),(2,11),(4,6),(5,6),(6,3),(7,3),(8,4),(8,5),(9,4),(9,5),(10,8),(10,9),(11,8),(11,9)],12)
[3,2,6,5,9,8,10,7,11,4,12,1]=>([(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(4,8),(5,4),(6,4),(7,8),(8,3),(9,3),(10,5),(10,6),(10,7),(11,5),(11,6),(11,7)],12)
[3,2,7,6,8,5,9,4,10,1,12,11]=>([(0,3),(0,4),(1,7),(1,8),(1,9),(1,10),(2,7),(2,8),(2,9),(2,10),(5,6),(6,11),(7,6),(8,5),(9,5),(10,11),(11,3),(11,4)],12)
[3,2,7,6,8,5,9,4,11,10,12,1]=>([(1,7),(1,8),(1,9),(1,11),(2,7),(2,8),(2,9),(2,11),(4,10),(5,3),(6,3),(7,4),(8,4),(9,10),(10,5),(10,6),(11,5),(11,6)],12)
[3,2,7,6,8,5,10,9,11,4,12,1]=>([(1,7),(1,8),(1,9),(1,11),(2,7),(2,8),(2,9),(2,11),(4,6),(5,6),(6,3),(7,10),(8,10),(9,3),(10,4),(10,5),(11,4),(11,5)],12)
[3,2,7,6,9,8,10,5,11,4,12,1]=>([(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(4,7),(5,4),(6,4),(7,3),(8,7),(9,3),(10,5),(10,6),(11,5),(11,6)],12)
[3,2,8,7,9,6,10,5,11,4,12,1]=>([(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(4,5),(5,6),(6,3),(7,5),(8,6),(9,4),(10,4),(11,3)],12)
[4,3,5,2,6,1,8,7,10,9,12,11]=>([(0,11),(1,6),(2,6),(3,9),(3,10),(6,11),(7,4),(7,5),(8,4),(8,5),(9,7),(9,8),(10,7),(10,8),(11,9),(11,10)],12)
[4,3,5,2,6,1,8,7,11,10,12,9]=>([(0,8),(1,8),(2,9),(3,10),(3,11),(6,4),(7,4),(8,9),(9,10),(9,11),(10,5),(10,6),(10,7),(11,5),(11,6),(11,7)],12)
[4,3,5,2,6,1,9,8,10,7,12,11]=>([(0,8),(1,8),(2,11),(3,6),(3,7),(3,10),(6,9),(7,9),(8,11),(9,4),(9,5),(10,4),(10,5),(11,6),(11,7),(11,10)],12)
[4,3,5,2,6,1,9,8,11,10,12,7]=>([(0,8),(1,8),(2,11),(3,5),(3,9),(3,10),(6,4),(7,4),(8,11),(9,6),(9,7),(10,6),(10,7),(11,5),(11,9),(11,10)],12)
[4,3,5,2,6,1,10,9,11,8,12,7]=>([(0,10),(1,10),(2,11),(3,5),(3,7),(3,8),(3,9),(6,4),(7,6),(8,6),(9,4),(10,11),(11,5),(11,7),(11,8),(11,9)],12)
[4,3,5,2,7,6,8,1,10,9,12,11]=>([(0,11),(1,11),(2,9),(2,10),(3,6),(3,7),(6,8),(7,8),(8,9),(8,10),(9,4),(9,5),(10,4),(10,5),(11,6),(11,7)],12)
[4,3,5,2,7,6,8,1,11,10,12,9]=>([(0,10),(1,10),(2,8),(2,9),(3,5),(3,6),(3,7),(6,4),(7,4),(8,11),(9,11),(10,8),(10,9),(11,5),(11,6),(11,7)],12)
[4,3,5,2,7,6,9,8,10,1,12,11]=>([(0,11),(1,11),(2,9),(2,10),(3,4),(3,5),(6,8),(7,8),(8,4),(8,5),(9,6),(9,7),(10,6),(10,7),(11,9),(11,10)],12)
[4,3,5,2,7,6,9,8,11,10,12,1]=>([(1,11),(2,11),(3,9),(3,10),(5,4),(6,4),(7,5),(7,6),(8,5),(8,6),(9,7),(9,8),(10,7),(10,8),(11,9),(11,10)],12)
[4,3,5,2,7,6,10,9,11,8,12,1]=>([(1,9),(2,9),(3,10),(3,11),(5,7),(6,7),(7,4),(8,4),(9,10),(9,11),(10,5),(10,6),(10,8),(11,5),(11,6),(11,8)],12)
[4,3,5,2,8,7,9,6,10,1,12,11]=>([(0,11),(1,11),(2,4),(2,5),(3,7),(3,8),(3,9),(6,10),(7,6),(8,6),(9,10),(10,4),(10,5),(11,7),(11,8),(11,9)],12)
[4,3,5,2,8,7,9,6,11,10,12,1]=>([(1,11),(2,11),(3,7),(3,8),(3,10),(5,4),(6,4),(7,9),(8,9),(9,5),(9,6),(10,5),(10,6),(11,7),(11,8),(11,10)],12)
[4,3,5,2,8,7,10,9,11,6,12,1]=>([(1,11),(2,11),(3,8),(3,9),(3,10),(5,7),(6,7),(7,4),(8,4),(9,5),(9,6),(10,5),(10,6),(11,8),(11,9),(11,10)],12)
[4,3,5,2,9,8,10,7,11,6,12,1]=>([(1,11),(2,11),(3,7),(3,8),(3,9),(3,10),(5,6),(6,4),(7,6),(8,5),(9,5),(10,4),(11,7),(11,8),(11,9),(11,10)],12)
[4,3,6,5,7,2,8,1,10,9,12,11]=>([(0,9),(1,7),(1,8),(2,7),(2,8),(3,10),(3,11),(6,9),(7,6),(8,6),(9,10),(9,11),(10,4),(10,5),(11,4),(11,5)],12)
[4,3,6,5,7,2,8,1,11,10,12,9]=>([(0,11),(1,9),(1,10),(2,9),(2,10),(3,5),(3,7),(3,8),(6,11),(7,4),(8,4),(9,6),(10,6),(11,5),(11,7),(11,8)],12)
[4,3,6,5,7,2,9,8,10,1,12,11]=>([(0,6),(0,7),(1,8),(1,9),(2,8),(2,9),(3,4),(3,5),(6,11),(7,11),(8,10),(9,10),(10,6),(10,7),(11,4),(11,5)],12)
[4,3,6,5,7,2,9,8,11,10,12,1]=>([(1,7),(1,8),(2,7),(2,8),(3,10),(3,11),(5,4),(6,4),(7,9),(8,9),(9,10),(9,11),(10,5),(10,6),(11,5),(11,6)],12)
[4,3,6,5,7,2,10,9,11,8,12,1]=>([(1,9),(1,10),(2,9),(2,10),(3,6),(3,7),(3,8),(5,4),(6,5),(7,5),(8,4),(9,11),(10,11),(11,6),(11,7),(11,8)],12)
[4,3,6,5,8,7,9,2,10,1,12,11]=>([(0,9),(1,10),(1,11),(2,10),(2,11),(3,4),(3,5),(6,9),(7,6),(8,6),(9,4),(9,5),(10,7),(10,8),(11,7),(11,8)],12)
[4,3,6,5,8,7,9,2,11,10,12,1]=>([(1,7),(1,8),(2,10),(2,11),(3,10),(3,11),(5,9),(6,9),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,5),(11,6)],12)
[4,3,6,5,8,7,10,9,11,2,12,1]=>([(1,4),(2,10),(2,11),(3,10),(3,11),(5,7),(6,7),(7,4),(8,5),(8,6),(9,5),(9,6),(10,8),(10,9),(11,8),(11,9)],12)
[4,3,6,5,9,8,10,7,11,2,12,1]=>([(1,4),(2,10),(2,11),(3,10),(3,11),(5,9),(6,5),(7,5),(8,9),(9,4),(10,6),(10,7),(10,8),(11,6),(11,7),(11,8)],12)
[4,3,7,6,8,5,9,2,10,1,12,11]=>([(0,11),(1,4),(1,5),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(6,7),(7,11),(8,7),(9,6),(10,6),(11,4),(11,5)],12)
[4,3,7,6,8,5,9,2,11,10,12,1]=>([(1,6),(1,7),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(5,11),(6,4),(7,4),(8,5),(9,5),(10,11),(11,6),(11,7)],12)
[4,3,7,6,8,5,10,9,11,2,12,1]=>([(1,4),(2,8),(2,9),(2,11),(3,8),(3,9),(3,11),(5,7),(6,7),(7,4),(8,10),(9,10),(10,5),(10,6),(11,5),(11,6)],12)
[4,3,7,6,9,8,10,5,11,2,12,1]=>([(1,4),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(5,8),(6,5),(7,5),(8,4),(9,8),(10,6),(10,7),(11,6),(11,7)],12)
[4,3,8,7,9,6,10,5,11,2,12,1]=>([(1,4),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(5,6),(6,7),(7,4),(8,6),(9,7),(10,5),(11,5)],12)
[5,4,6,3,7,2,8,1,10,9,12,11]=>([(0,11),(1,8),(2,8),(3,7),(4,9),(4,10),(7,11),(8,7),(9,5),(9,6),(10,5),(10,6),(11,9),(11,10)],12)
[5,4,6,3,7,2,8,1,11,10,12,9]=>([(0,10),(1,10),(2,9),(3,11),(4,6),(4,7),(4,8),(7,5),(8,5),(9,11),(10,9),(11,6),(11,7),(11,8)],12)
[5,4,6,3,7,2,9,8,10,1,12,11]=>([(0,11),(1,9),(2,9),(3,7),(3,8),(4,5),(4,6),(7,10),(8,10),(9,11),(10,5),(10,6),(11,7),(11,8)],12)
[5,4,6,3,7,2,9,8,11,10,12,1]=>([(1,11),(2,8),(3,8),(4,9),(4,10),(6,5),(7,5),(8,11),(9,6),(9,7),(10,6),(10,7),(11,9),(11,10)],12)
[5,4,6,3,7,2,10,9,11,8,12,1]=>([(1,10),(2,10),(3,11),(4,7),(4,8),(4,9),(6,5),(7,6),(8,6),(9,5),(10,11),(11,7),(11,8),(11,9)],12)
[5,4,6,3,8,7,9,2,10,1,12,11]=>([(0,11),(1,11),(2,10),(3,8),(3,9),(4,5),(4,6),(7,10),(8,7),(9,7),(10,5),(10,6),(11,8),(11,9)],12)
[5,4,6,3,8,7,9,2,11,10,12,1]=>([(1,11),(2,11),(3,6),(3,7),(4,8),(4,9),(6,10),(7,10),(8,5),(9,5),(10,8),(10,9),(11,6),(11,7)],12)
[5,4,6,3,8,7,10,9,11,2,12,1]=>([(1,11),(2,11),(3,5),(4,9),(4,10),(6,8),(7,8),(8,5),(9,6),(9,7),(10,6),(10,7),(11,9),(11,10)],12)
[5,4,6,3,9,8,10,7,11,2,12,1]=>([(1,11),(2,11),(3,5),(4,8),(4,9),(4,10),(6,7),(7,5),(8,7),(9,6),(10,6),(11,8),(11,9),(11,10)],12)
[5,4,7,6,8,3,9,2,10,1,12,11]=>([(0,8),(1,11),(2,9),(2,10),(3,9),(3,10),(4,5),(4,6),(7,8),(8,11),(9,7),(10,7),(11,5),(11,6)],12)
[5,4,7,6,8,3,9,2,11,10,12,1]=>([(1,11),(2,7),(2,8),(3,9),(3,10),(4,9),(4,10),(6,11),(7,5),(8,5),(9,6),(10,6),(11,7),(11,8)],12)
[5,4,7,6,8,3,10,9,11,2,12,1]=>([(1,5),(2,7),(2,8),(3,9),(3,10),(4,9),(4,10),(6,5),(7,6),(8,6),(9,11),(10,11),(11,7),(11,8)],12)
[5,4,7,6,9,8,10,3,11,2,12,1]=>([(1,9),(2,5),(3,10),(3,11),(4,10),(4,11),(6,9),(7,6),(8,6),(9,5),(10,7),(10,8),(11,7),(11,8)],12)
[5,4,8,7,9,6,10,3,11,2,12,1]=>([(1,11),(2,5),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(6,7),(7,11),(8,7),(9,6),(10,6),(11,5)],12)
[6,5,7,4,8,3,9,2,10,1,12,11]=>([(0,6),(1,6),(2,10),(3,11),(4,9),(5,7),(5,8),(6,10),(9,11),(10,9),(11,7),(11,8)],12)
[6,5,7,4,8,3,9,2,11,10,12,1]=>([(1,6),(2,6),(3,10),(4,9),(5,7),(5,8),(6,9),(7,11),(8,11),(9,10),(10,7),(10,8)],12)
[6,5,7,4,8,3,10,9,11,2,12,1]=>([(1,6),(2,6),(3,9),(4,10),(5,7),(5,8),(6,10),(7,11),(8,11),(10,7),(10,8),(11,9)],12)
[6,5,7,4,9,8,10,3,11,2,12,1]=>([(1,6),(2,6),(3,7),(4,10),(5,8),(5,9),(6,8),(6,9),(8,11),(9,11),(10,7),(11,10)],12)
[6,5,8,7,9,4,10,3,11,2,12,1]=>([(1,6),(1,7),(2,6),(2,7),(3,9),(4,10),(5,8),(6,11),(7,11),(9,8),(10,9),(11,10)],12)
[7,6,8,5,9,4,10,3,11,2,12,1]=>([(1,7),(2,7),(3,9),(4,10),(5,11),(6,8),(7,11),(9,10),(10,8),(11,9)],12)
[2,1,4,3,6,5,8,7,11,9,12,10]=>([(0,10),(0,11),(1,10),(1,11),(4,3),(5,2),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)
[2,1,4,3,6,5,9,7,10,8,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,3),(2,4),(5,9),(6,2),(6,9),(7,5),(7,6),(8,5),(8,6),(9,3),(9,4),(10,7),(10,8),(11,7),(11,8)],12)
[2,1,4,3,6,5,9,7,11,8,12,10]=>([(0,10),(0,11),(1,10),(1,11),(2,3),(2,4),(5,4),(6,2),(6,5),(7,6),(7,9),(8,6),(8,9),(9,3),(9,5),(10,7),(10,8),(11,7),(11,8)],12)
[2,1,4,3,6,5,10,7,11,8,12,9]=>([(0,10),(0,11),(1,10),(1,11),(3,2),(3,4),(5,6),(6,4),(7,3),(7,6),(8,5),(8,7),(9,5),(9,7),(10,8),(10,9),(11,8),(11,9)],12)
[2,1,4,3,7,5,8,6,10,9,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,8),(2,9),(5,7),(6,2),(6,7),(7,8),(7,9),(8,3),(8,4),(9,3),(9,4),(10,5),(10,6),(11,5),(11,6)],12)
[2,1,4,3,7,5,8,6,11,9,12,10]=>([(0,10),(0,11),(1,10),(1,11),(3,7),(3,8),(5,9),(6,3),(6,9),(7,4),(8,2),(8,4),(9,7),(9,8),(10,5),(10,6),(11,5),(11,6)],12)
[2,1,4,3,7,5,9,6,10,8,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,8),(2,9),(5,9),(6,2),(6,5),(7,5),(7,8),(8,3),(8,4),(9,3),(9,4),(10,6),(10,7),(11,6),(11,7)],12)
[2,1,4,3,7,5,9,6,11,8,12,10]=>([(0,10),(0,11),(1,10),(1,11),(2,6),(2,9),(5,2),(5,8),(6,4),(7,8),(7,9),(8,3),(8,6),(9,3),(9,4),(10,5),(10,7),(11,5),(11,7)],12)
[2,1,4,3,7,5,10,6,11,8,12,9]=>([(0,10),(0,11),(1,10),(1,11),(3,7),(3,8),(5,7),(6,3),(6,5),(7,4),(8,2),(8,4),(9,5),(9,8),(10,6),(10,9),(11,6),(11,9)],12)
[2,1,4,3,8,5,9,6,10,7,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,3),(2,9),(3,4),(3,5),(6,9),(7,6),(8,2),(8,6),(9,4),(9,5),(10,7),(10,8),(11,7),(11,8)],12)
[2,1,4,3,8,5,9,6,11,7,12,10]=>([(0,10),(0,11),(1,10),(1,11),(2,3),(2,8),(3,4),(3,5),(6,9),(7,2),(7,9),(8,4),(9,5),(9,8),(10,6),(10,7),(11,6),(11,7)],12)
[2,1,4,3,8,5,10,6,11,7,12,9]=>([(0,10),(0,11),(1,10),(1,11),(2,3),(2,8),(3,4),(3,5),(6,8),(7,2),(7,6),(8,4),(9,5),(9,6),(10,7),(10,9),(11,7),(11,9)],12)
[2,1,4,3,9,5,10,6,11,7,12,8]=>([(0,10),(0,11),(1,10),(1,11),(3,4),(3,9),(4,2),(4,5),(6,9),(7,6),(8,3),(8,6),(9,5),(10,7),(10,8),(11,7),(11,8)],12)
[2,1,5,3,6,4,8,7,10,9,12,11]=>([(0,5),(0,6),(1,5),(1,6),(2,10),(2,11),(5,7),(6,2),(6,7),(7,10),(7,11),(8,3),(8,4),(9,3),(9,4),(10,8),(10,9),(11,8),(11,9)],12)
[2,1,5,3,6,4,8,7,11,9,12,10]=>([(0,7),(0,8),(1,7),(1,8),(3,10),(3,11),(5,4),(6,2),(6,4),(7,9),(8,3),(8,9),(9,10),(9,11),(10,5),(10,6),(11,5),(11,6)],12)
[2,1,5,3,6,4,9,7,10,8,12,11]=>([(0,8),(0,9),(1,8),(1,9),(2,6),(2,7),(3,4),(3,5),(6,11),(7,3),(7,11),(8,10),(9,2),(9,10),(10,6),(10,7),(11,4),(11,5)],12)
[2,1,5,3,6,4,9,7,11,8,12,10]=>([(0,8),(0,9),(1,8),(1,9),(2,7),(2,11),(3,4),(3,5),(6,4),(7,3),(7,6),(8,10),(9,2),(9,10),(10,7),(10,11),(11,5),(11,6)],12)
[2,1,5,3,6,4,10,7,11,8,12,9]=>([(0,9),(0,10),(1,9),(1,10),(3,2),(3,5),(4,7),(4,8),(6,5),(7,6),(8,3),(8,6),(9,11),(10,4),(10,11),(11,7),(11,8)],12)
[2,1,5,3,7,4,8,6,10,9,12,11]=>([(0,6),(0,11),(1,6),(1,11),(2,9),(2,10),(5,10),(6,2),(6,5),(7,3),(7,4),(8,3),(8,4),(9,7),(9,8),(10,7),(10,8),(11,5),(11,9)],12)
[2,1,5,3,7,4,8,6,11,9,12,10]=>([(0,8),(0,11),(1,8),(1,11),(3,9),(3,10),(5,9),(6,4),(7,2),(7,4),(8,3),(8,5),(9,6),(9,7),(10,6),(10,7),(11,5),(11,10)],12)
[2,1,5,3,7,4,9,6,10,8,12,11]=>([(0,6),(0,11),(1,6),(1,11),(2,5),(2,10),(5,9),(6,2),(6,7),(7,5),(7,8),(8,3),(8,4),(9,3),(9,4),(10,8),(10,9),(11,7),(11,10)],12)
[2,1,5,3,7,4,9,6,11,8,12,10]=>([(0,6),(0,11),(1,6),(1,11),(2,9),(2,10),(5,4),(6,2),(6,7),(7,8),(7,10),(8,3),(8,4),(9,5),(9,8),(10,3),(10,5),(11,7),(11,9)],12)
[2,1,5,3,7,4,10,6,11,8,12,9]=>([(0,8),(0,11),(1,8),(1,11),(3,6),(3,10),(5,4),(6,5),(7,2),(7,4),(8,3),(8,9),(9,6),(9,7),(10,5),(10,7),(11,9),(11,10)],12)
[2,1,5,3,8,4,9,6,10,7,12,11]=>([(0,9),(0,11),(1,9),(1,11),(2,7),(2,8),(3,4),(3,5),(6,7),(7,10),(8,3),(8,10),(9,2),(9,6),(10,4),(10,5),(11,6),(11,8)],12)
[2,1,5,3,8,4,9,6,11,7,12,10]=>([(0,9),(0,11),(1,9),(1,11),(2,8),(2,10),(3,4),(3,5),(6,10),(7,4),(8,3),(8,7),(9,2),(9,6),(10,5),(10,7),(11,6),(11,8)],12)
[2,1,5,3,8,4,10,6,11,7,12,9]=>([(0,9),(0,11),(1,9),(1,11),(2,7),(2,8),(3,4),(3,5),(6,4),(7,6),(8,3),(8,6),(9,2),(9,10),(10,5),(10,7),(11,8),(11,10)],12)
[2,1,5,3,9,4,10,6,11,7,12,8]=>([(0,10),(0,11),(1,10),(1,11),(3,2),(3,5),(4,8),(4,9),(6,8),(7,5),(8,7),(9,3),(9,7),(10,4),(10,6),(11,6),(11,9)],12)
[2,1,6,3,7,4,8,5,10,9,12,11]=>([(0,7),(0,8),(1,7),(1,8),(2,3),(2,11),(3,9),(3,10),(6,11),(7,6),(8,2),(8,6),(9,4),(9,5),(10,4),(10,5),(11,9),(11,10)],12)
[2,1,6,3,7,4,8,5,11,9,12,10]=>([(0,9),(0,10),(1,9),(1,10),(3,4),(3,11),(4,7),(4,8),(6,11),(7,5),(8,2),(8,5),(9,6),(10,3),(10,6),(11,7),(11,8)],12)
[2,1,6,3,7,4,9,5,10,8,12,11]=>([(0,7),(0,8),(1,7),(1,8),(2,3),(2,6),(3,10),(3,11),(6,11),(7,9),(8,2),(8,9),(9,6),(9,10),(10,4),(10,5),(11,4),(11,5)],12)
[2,1,6,3,7,4,9,5,11,8,12,10]=>([(0,7),(0,8),(1,7),(1,8),(2,3),(2,11),(3,6),(3,10),(6,5),(7,9),(8,2),(8,9),(9,10),(9,11),(10,4),(10,5),(11,4),(11,6)],12)
[2,1,6,3,7,4,10,5,11,8,12,9]=>([(0,9),(0,10),(1,9),(1,10),(3,4),(3,7),(4,6),(4,8),(6,5),(7,6),(8,2),(8,5),(9,11),(10,3),(10,11),(11,7),(11,8)],12)
[2,1,6,3,8,4,9,5,10,7,12,11]=>([(0,8),(0,11),(1,8),(1,11),(2,3),(2,7),(3,9),(3,10),(6,7),(7,9),(8,2),(8,6),(9,4),(9,5),(10,4),(10,5),(11,6),(11,10)],12)
[2,1,6,3,8,4,9,5,11,7,12,10]=>([(0,8),(0,11),(1,8),(1,11),(2,3),(2,10),(3,7),(3,9),(6,10),(7,4),(8,2),(8,6),(9,4),(9,5),(10,5),(10,7),(11,6),(11,9)],12)
[2,1,6,3,8,4,10,5,11,7,12,9]=>([(0,8),(0,11),(1,8),(1,11),(2,3),(2,7),(3,6),(3,10),(6,4),(7,6),(8,2),(8,9),(9,5),(9,7),(10,4),(10,5),(11,9),(11,10)],12)
[2,1,6,3,9,4,10,5,11,7,12,8]=>([(0,10),(0,11),(1,10),(1,11),(3,4),(3,8),(4,7),(4,9),(6,8),(7,5),(8,7),(9,2),(9,5),(10,3),(10,6),(11,6),(11,9)],12)
[2,1,7,3,8,4,9,5,10,6,12,11]=>([(0,9),(0,10),(1,9),(1,10),(2,3),(2,8),(3,4),(3,11),(4,5),(4,6),(7,8),(8,11),(9,7),(10,2),(10,7),(11,5),(11,6)],12)
[2,1,7,3,8,4,9,5,11,6,12,10]=>([(0,9),(0,10),(1,9),(1,10),(2,3),(2,11),(3,4),(3,8),(4,5),(4,6),(7,11),(8,5),(9,7),(10,2),(10,7),(11,6),(11,8)],12)
[2,1,7,3,8,4,10,5,11,6,12,9]=>([(0,9),(0,10),(1,9),(1,10),(2,3),(2,8),(3,4),(3,7),(4,5),(4,6),(7,5),(8,7),(9,11),(10,2),(10,11),(11,6),(11,8)],12)
[2,1,7,3,9,4,10,5,11,6,12,8]=>([(0,10),(0,11),(1,10),(1,11),(2,3),(2,9),(3,4),(3,8),(4,5),(4,6),(7,9),(8,5),(9,8),(10,2),(10,7),(11,6),(11,7)],12)
[2,1,8,3,9,4,10,5,11,6,12,7]=>([(0,10),(0,11),(1,10),(1,11),(3,5),(3,7),(4,2),(4,6),(5,4),(5,9),(7,9),(8,7),(9,6),(10,8),(11,3),(11,8)],12)
[3,1,4,2,6,5,8,7,10,9,12,11]=>([(0,11),(1,2),(1,11),(2,9),(2,10),(5,7),(5,8),(6,7),(6,8),(7,3),(7,4),(8,3),(8,4),(9,5),(9,6),(10,5),(10,6),(11,9),(11,10)],12)
[3,1,4,2,6,5,8,7,11,9,12,10]=>([(0,11),(1,3),(1,11),(3,9),(3,10),(5,4),(6,2),(6,4),(7,5),(7,6),(8,5),(8,6),(9,7),(9,8),(10,7),(10,8),(11,9),(11,10)],12)
[3,1,4,2,6,5,9,7,10,8,12,11]=>([(0,11),(1,3),(1,11),(2,4),(2,5),(3,8),(3,9),(6,10),(7,2),(7,10),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,8),(11,9)],12)
[3,1,4,2,6,5,9,7,11,8,12,10]=>([(0,11),(1,3),(1,11),(2,4),(2,5),(3,8),(3,9),(6,5),(7,2),(7,6),(8,7),(8,10),(9,7),(9,10),(10,4),(10,6),(11,8),(11,9)],12)
[3,1,4,2,6,5,10,7,11,8,12,9]=>([(0,11),(1,4),(1,11),(3,2),(3,5),(4,9),(4,10),(6,7),(7,5),(8,3),(8,7),(9,6),(9,8),(10,6),(10,8),(11,9),(11,10)],12)
[3,1,4,2,7,5,8,6,10,9,12,11]=>([(0,11),(1,3),(1,11),(2,9),(2,10),(3,6),(3,7),(6,8),(7,2),(7,8),(8,9),(8,10),(9,4),(9,5),(10,4),(10,5),(11,6),(11,7)],12)
[3,1,4,2,7,5,8,6,11,9,12,10]=>([(0,11),(1,4),(1,11),(3,8),(3,9),(4,6),(4,7),(6,10),(7,3),(7,10),(8,5),(9,2),(9,5),(10,8),(10,9),(11,6),(11,7)],12)
[3,1,4,2,7,5,9,6,10,8,12,11]=>([(0,11),(1,3),(1,11),(2,9),(2,10),(3,7),(3,8),(6,10),(7,2),(7,6),(8,6),(8,9),(9,4),(9,5),(10,4),(10,5),(11,7),(11,8)],12)
[3,1,4,2,7,5,9,6,11,8,12,10]=>([(0,11),(1,3),(1,11),(2,7),(2,10),(3,6),(3,8),(6,2),(6,9),(7,5),(8,9),(8,10),(9,4),(9,7),(10,4),(10,5),(11,6),(11,8)],12)
[3,1,4,2,7,5,10,6,11,8,12,9]=>([(0,11),(1,4),(1,11),(3,8),(3,9),(4,7),(4,10),(6,8),(7,3),(7,6),(8,5),(9,2),(9,5),(10,6),(10,9),(11,7),(11,10)],12)
[3,1,4,2,8,5,9,6,10,7,12,11]=>([(0,11),(1,4),(1,11),(2,3),(2,10),(3,5),(3,6),(4,7),(4,9),(7,8),(8,10),(9,2),(9,8),(10,5),(10,6),(11,7),(11,9)],12)
[3,1,4,2,8,5,9,6,11,7,12,10]=>([(0,11),(1,4),(1,11),(2,3),(2,9),(3,5),(3,6),(4,7),(4,8),(7,10),(8,2),(8,10),(9,5),(10,6),(10,9),(11,7),(11,8)],12)
[3,1,4,2,8,5,10,6,11,7,12,9]=>([(0,11),(1,4),(1,11),(2,3),(2,9),(3,5),(3,6),(4,8),(4,10),(7,9),(8,2),(8,7),(9,5),(10,6),(10,7),(11,8),(11,10)],12)
[3,1,4,2,9,5,10,6,11,7,12,8]=>([(0,11),(1,5),(1,11),(3,4),(3,10),(4,2),(4,6),(5,8),(5,9),(7,10),(8,7),(9,3),(9,7),(10,6),(11,8),(11,9)],12)
[3,1,5,2,6,4,8,7,10,9,12,11]=>([(0,2),(0,5),(1,5),(1,11),(2,10),(2,11),(5,10),(6,8),(6,9),(7,8),(7,9),(8,3),(8,4),(9,3),(9,4),(10,6),(10,7),(11,6),(11,7)],12)
[3,1,5,2,6,4,8,7,11,9,12,10]=>([(0,3),(0,7),(1,7),(1,11),(3,10),(3,11),(5,4),(6,2),(6,4),(7,10),(8,5),(8,6),(9,5),(9,6),(10,8),(10,9),(11,8),(11,9)],12)
[3,1,5,2,6,4,9,7,10,8,12,11]=>([(0,3),(0,8),(1,8),(1,11),(2,4),(2,5),(3,9),(3,11),(6,10),(7,2),(7,10),(8,9),(9,6),(9,7),(10,4),(10,5),(11,6),(11,7)],12)
[3,1,5,2,6,4,9,7,11,8,12,10]=>([(0,3),(0,8),(1,8),(1,11),(2,4),(2,5),(3,9),(3,11),(6,4),(7,2),(7,6),(8,9),(9,7),(9,10),(10,5),(10,6),(11,7),(11,10)],12)
[3,1,5,2,6,4,10,7,11,8,12,9]=>([(0,4),(0,9),(1,9),(1,11),(3,2),(3,5),(4,10),(4,11),(6,7),(7,5),(8,3),(8,7),(9,10),(10,6),(10,8),(11,6),(11,8)],12)
[3,1,5,2,7,4,8,6,10,9,12,11]=>([(0,2),(0,11),(1,10),(1,11),(2,5),(2,10),(5,7),(6,8),(6,9),(7,8),(7,9),(8,3),(8,4),(9,3),(9,4),(10,6),(10,7),(11,5),(11,6)],12)
[3,1,5,2,7,4,8,6,11,9,12,10]=>([(0,3),(0,11),(1,10),(1,11),(3,6),(3,10),(5,4),(6,8),(7,2),(7,4),(8,5),(8,7),(9,5),(9,7),(10,8),(10,9),(11,6),(11,9)],12)
[3,1,5,2,7,4,9,6,10,8,12,11]=>([(0,2),(0,11),(1,10),(1,11),(2,9),(2,10),(5,8),(6,7),(6,8),(7,3),(7,4),(8,3),(8,4),(9,5),(9,7),(10,5),(10,6),(11,6),(11,9)],12)
[3,1,5,2,7,4,9,6,11,8,12,10]=>([(0,2),(0,11),(1,10),(1,11),(2,9),(2,10),(5,4),(6,5),(6,8),(7,3),(7,5),(8,3),(8,4),(9,7),(9,8),(10,6),(10,7),(11,6),(11,9)],12)
[3,1,5,2,7,4,10,6,11,8,12,9]=>([(0,3),(0,11),(1,10),(1,11),(3,9),(3,10),(5,6),(6,4),(7,2),(7,4),(8,6),(8,7),(9,5),(9,7),(10,5),(10,8),(11,8),(11,9)],12)
[3,1,5,2,8,4,9,6,10,7,12,11]=>([(0,3),(0,11),(1,10),(1,11),(2,4),(2,5),(3,6),(3,10),(6,7),(7,9),(8,2),(8,9),(9,4),(9,5),(10,7),(10,8),(11,6),(11,8)],12)
[3,1,5,2,8,4,9,6,11,7,12,10]=>([(0,3),(0,11),(1,10),(1,11),(2,4),(2,5),(3,6),(3,10),(6,9),(7,4),(8,2),(8,7),(9,5),(9,7),(10,8),(10,9),(11,6),(11,8)],12)
[3,1,5,2,8,4,10,6,11,7,12,9]=>([(0,3),(0,11),(1,10),(1,11),(2,4),(2,5),(3,9),(3,10),(6,7),(7,4),(8,2),(8,7),(9,5),(9,6),(10,6),(10,8),(11,8),(11,9)],12)
[3,1,5,2,9,4,10,6,11,7,12,8]=>([(0,4),(0,11),(1,10),(1,11),(3,2),(3,5),(4,8),(4,10),(6,7),(7,5),(8,6),(9,3),(9,7),(10,6),(10,9),(11,8),(11,9)],12)
[3,1,6,2,7,4,8,5,10,9,12,11]=>([(0,3),(0,8),(1,7),(1,8),(2,10),(2,11),(3,6),(3,7),(6,9),(7,2),(7,9),(8,6),(9,10),(9,11),(10,4),(10,5),(11,4),(11,5)],12)
[3,1,6,2,7,4,8,5,11,9,12,10]=>([(0,4),(0,10),(1,7),(1,10),(3,8),(3,9),(4,6),(4,7),(6,11),(7,3),(7,11),(8,5),(9,2),(9,5),(10,6),(11,8),(11,9)],12)
[3,1,6,2,7,4,9,5,10,8,12,11]=>([(0,3),(0,8),(1,7),(1,8),(2,10),(2,11),(3,7),(3,9),(6,10),(7,2),(7,6),(8,9),(9,6),(9,11),(10,4),(10,5),(11,4),(11,5)],12)
[3,1,6,2,7,4,9,5,11,8,12,10]=>([(0,3),(0,8),(1,6),(1,8),(2,7),(2,11),(3,6),(3,9),(6,2),(6,10),(7,5),(8,9),(9,10),(9,11),(10,4),(10,7),(11,4),(11,5)],12)
[3,1,6,2,7,4,10,5,11,8,12,9]=>([(0,4),(0,10),(1,7),(1,10),(3,8),(3,9),(4,7),(4,11),(6,8),(7,3),(7,6),(8,5),(9,2),(9,5),(10,11),(11,6),(11,9)],12)
[3,1,6,2,8,4,9,5,10,7,12,11]=>([(0,3),(0,11),(1,8),(1,11),(2,9),(2,10),(3,6),(3,8),(6,7),(7,9),(8,2),(8,7),(9,4),(9,5),(10,4),(10,5),(11,6),(11,10)],12)
[3,1,6,2,8,4,9,5,11,7,12,10]=>([(0,3),(0,11),(1,7),(1,11),(2,8),(2,10),(3,6),(3,7),(6,9),(7,2),(7,9),(8,4),(9,5),(9,8),(10,4),(10,5),(11,6),(11,10)],12)
[3,1,6,2,8,4,10,5,11,7,12,9]=>([(0,3),(0,11),(1,7),(1,11),(2,8),(2,10),(3,7),(3,9),(6,8),(7,2),(7,6),(8,4),(9,5),(9,6),(10,4),(10,5),(11,9),(11,10)],12)
[3,1,6,2,9,4,10,5,11,7,12,8]=>([(0,4),(0,11),(1,8),(1,11),(3,9),(3,10),(4,7),(4,8),(6,9),(7,6),(8,3),(8,6),(9,5),(10,2),(10,5),(11,7),(11,10)],12)
[3,1,7,2,8,4,9,5,10,6,12,11]=>([(0,4),(0,10),(1,9),(1,10),(2,3),(2,11),(3,5),(3,6),(4,7),(4,9),(7,8),(8,11),(9,2),(9,8),(10,7),(11,5),(11,6)],12)
[3,1,7,2,8,4,9,5,11,6,12,10]=>([(0,4),(0,10),(1,9),(1,10),(2,3),(2,8),(3,5),(3,6),(4,7),(4,9),(7,11),(8,5),(9,2),(9,11),(10,7),(11,6),(11,8)],12)
[3,1,7,2,8,4,10,5,11,6,12,9]=>([(0,4),(0,10),(1,9),(1,10),(2,3),(2,8),(3,5),(3,6),(4,9),(4,11),(7,8),(8,5),(9,2),(9,7),(10,11),(11,6),(11,7)],12)
[3,1,7,2,9,4,10,5,11,6,12,8]=>([(0,4),(0,11),(1,10),(1,11),(2,3),(2,9),(3,5),(3,6),(4,8),(4,10),(7,9),(8,7),(9,5),(10,2),(10,7),(11,6),(11,8)],12)
[3,1,8,2,9,4,10,5,11,6,12,7]=>([(0,5),(0,11),(1,9),(1,11),(3,4),(3,10),(4,2),(4,6),(5,8),(5,9),(7,10),(8,7),(9,3),(9,7),(10,6),(11,8)],12)
[4,1,5,2,6,3,8,7,10,9,12,11]=>([(0,6),(1,2),(1,6),(2,3),(2,11),(3,9),(3,10),(6,11),(7,4),(7,5),(8,4),(8,5),(9,7),(9,8),(10,7),(10,8),(11,9),(11,10)],12)
[4,1,5,2,6,3,8,7,11,9,12,10]=>([(0,8),(1,3),(1,8),(3,4),(3,11),(4,9),(4,10),(6,5),(7,2),(7,5),(8,11),(9,6),(9,7),(10,6),(10,7),(11,9),(11,10)],12)
[4,1,5,2,6,3,9,7,10,8,12,11]=>([(0,9),(1,2),(1,9),(2,4),(2,11),(3,5),(3,6),(4,7),(4,8),(7,10),(8,3),(8,10),(9,11),(10,5),(10,6),(11,7),(11,8)],12)
[4,1,5,2,6,3,9,7,11,8,12,10]=>([(0,9),(1,2),(1,9),(2,4),(2,10),(3,5),(3,6),(4,8),(4,11),(7,5),(8,3),(8,7),(9,10),(10,8),(10,11),(11,6),(11,7)],12)
[4,1,5,2,6,3,10,7,11,8,12,9]=>([(0,10),(1,4),(1,10),(3,2),(3,6),(4,5),(4,11),(5,8),(5,9),(7,6),(8,7),(9,3),(9,7),(10,11),(11,8),(11,9)],12)
[4,1,5,2,7,3,8,6,10,9,12,11]=>([(0,11),(1,2),(1,11),(2,3),(2,6),(3,9),(3,10),(6,10),(7,4),(7,5),(8,4),(8,5),(9,7),(9,8),(10,7),(10,8),(11,6),(11,9)],12)
[4,1,5,2,7,3,8,6,11,9,12,10]=>([(0,11),(1,3),(1,11),(3,4),(3,7),(4,9),(4,10),(6,5),(7,9),(8,2),(8,5),(9,6),(9,8),(10,6),(10,8),(11,7),(11,10)],12)
[4,1,5,2,7,3,9,6,10,8,12,11]=>([(0,11),(1,2),(1,11),(2,3),(2,10),(3,6),(3,9),(6,8),(7,4),(7,5),(8,4),(8,5),(9,7),(9,8),(10,6),(10,7),(11,9),(11,10)],12)
[4,1,5,2,7,3,9,6,11,8,12,10]=>([(0,11),(1,2),(1,11),(2,3),(2,10),(3,8),(3,9),(6,5),(7,4),(7,5),(8,6),(8,7),(9,4),(9,6),(10,7),(10,9),(11,8),(11,10)],12)
[4,1,5,2,7,3,10,6,11,8,12,9]=>([(0,11),(1,3),(1,11),(3,4),(3,10),(4,7),(4,9),(6,5),(7,6),(8,2),(8,5),(9,6),(9,8),(10,7),(10,8),(11,9),(11,10)],12)
[4,1,5,2,8,3,9,6,10,7,12,11]=>([(0,11),(1,2),(1,11),(2,4),(2,7),(3,5),(3,6),(4,8),(4,9),(7,8),(8,10),(9,3),(9,10),(10,5),(10,6),(11,7),(11,9)],12)
[4,1,5,2,8,3,9,6,11,7,12,10]=>([(0,11),(1,2),(1,11),(2,4),(2,8),(3,5),(3,6),(4,9),(4,10),(7,5),(8,10),(9,3),(9,7),(10,6),(10,7),(11,8),(11,9)],12)
[4,1,5,2,8,3,10,6,11,7,12,9]=>([(0,11),(1,2),(1,11),(2,4),(2,10),(3,5),(3,6),(4,8),(4,9),(7,5),(8,7),(9,3),(9,7),(10,6),(10,8),(11,9),(11,10)],12)
[4,1,5,2,9,3,10,6,11,7,12,8]=>([(0,11),(1,4),(1,11),(3,2),(3,6),(4,5),(4,7),(5,9),(5,10),(7,9),(8,6),(9,8),(10,3),(10,8),(11,7),(11,10)],12)
[4,1,6,2,7,3,8,5,10,9,12,11]=>([(0,2),(0,7),(1,7),(1,11),(2,3),(2,6),(3,10),(3,11),(6,10),(7,6),(8,4),(8,5),(9,4),(9,5),(10,8),(10,9),(11,8),(11,9)],12)
[4,1,6,2,7,3,8,5,11,9,12,10]=>([(0,3),(0,9),(1,9),(1,11),(3,4),(3,7),(4,10),(4,11),(6,5),(7,10),(8,2),(8,5),(9,7),(10,6),(10,8),(11,6),(11,8)],12)
[4,1,6,2,7,3,9,5,10,8,12,11]=>([(0,2),(0,7),(1,7),(1,10),(2,3),(2,11),(3,6),(3,10),(6,9),(7,11),(8,4),(8,5),(9,4),(9,5),(10,8),(10,9),(11,6),(11,8)],12)
[4,1,6,2,7,3,9,5,11,8,12,10]=>([(0,2),(0,7),(1,7),(1,10),(2,3),(2,11),(3,9),(3,10),(6,5),(7,11),(8,4),(8,5),(9,4),(9,6),(10,6),(10,8),(11,8),(11,9)],12)
[4,1,6,2,7,3,10,5,11,8,12,9]=>([(0,3),(0,9),(1,9),(1,11),(3,4),(3,10),(4,7),(4,11),(6,5),(7,6),(8,2),(8,5),(9,10),(10,7),(10,8),(11,6),(11,8)],12)
[4,1,6,2,8,3,9,5,10,7,12,11]=>([(0,2),(0,11),(1,10),(1,11),(2,3),(2,7),(3,6),(3,10),(6,9),(7,6),(8,4),(8,5),(9,4),(9,5),(10,8),(10,9),(11,7),(11,8)],12)
[4,1,6,2,8,3,9,5,11,7,12,10]=>([(0,2),(0,11),(1,10),(1,11),(2,3),(2,7),(3,9),(3,10),(6,5),(7,9),(8,4),(8,5),(9,4),(9,6),(10,6),(10,8),(11,7),(11,8)],12)
[4,1,6,2,8,3,10,5,11,7,12,9]=>([(0,2),(0,11),(1,9),(1,11),(2,3),(2,10),(3,7),(3,9),(6,5),(7,6),(8,4),(8,5),(9,6),(9,8),(10,4),(10,7),(11,8),(11,10)],12)
[4,1,6,2,9,3,10,5,11,7,12,8]=>([(0,3),(0,11),(1,10),(1,11),(3,4),(3,8),(4,7),(4,10),(6,5),(7,6),(8,7),(9,2),(9,5),(10,6),(10,9),(11,8),(11,9)],12)
[4,1,7,2,8,3,9,5,10,6,12,11]=>([(0,2),(0,10),(1,9),(1,10),(2,4),(2,7),(3,5),(3,6),(4,8),(4,9),(7,8),(8,11),(9,3),(9,11),(10,7),(11,5),(11,6)],12)
[4,1,7,2,8,3,9,5,11,6,12,10]=>([(0,2),(0,10),(1,9),(1,10),(2,4),(2,8),(3,5),(3,6),(4,9),(4,11),(7,5),(8,11),(9,3),(9,7),(10,8),(11,6),(11,7)],12)
[4,1,7,2,8,3,10,5,11,6,12,9]=>([(0,2),(0,10),(1,9),(1,10),(2,4),(2,11),(3,5),(3,6),(4,8),(4,9),(7,5),(8,7),(9,3),(9,7),(10,11),(11,6),(11,8)],12)
[4,1,7,2,9,3,10,5,11,6,12,8]=>([(0,2),(0,11),(1,10),(1,11),(2,4),(2,8),(3,5),(3,6),(4,9),(4,10),(7,5),(8,9),(9,7),(10,3),(10,7),(11,6),(11,8)],12)
[4,1,8,2,9,3,10,5,11,6,12,7]=>([(0,4),(0,11),(1,10),(1,11),(3,2),(3,6),(4,5),(4,7),(5,9),(5,10),(7,9),(8,6),(9,8),(10,3),(10,8),(11,7)],12)
[5,1,6,2,7,3,8,4,10,9,12,11]=>([(0,8),(1,3),(1,8),(2,4),(2,11),(3,2),(3,7),(4,9),(4,10),(7,11),(8,7),(9,5),(9,6),(10,5),(10,6),(11,9),(11,10)],12)
[5,1,6,2,7,3,8,4,11,9,12,10]=>([(0,10),(1,4),(1,10),(3,5),(3,11),(4,3),(4,7),(5,8),(5,9),(7,11),(8,6),(9,2),(9,6),(10,7),(11,8),(11,9)],12)
[5,1,6,2,7,3,9,4,10,8,12,11]=>([(0,8),(1,3),(1,8),(2,4),(2,7),(3,2),(3,9),(4,10),(4,11),(7,11),(8,9),(9,7),(9,10),(10,5),(10,6),(11,5),(11,6)],12)
[5,1,6,2,7,3,9,4,11,8,12,10]=>([(0,8),(1,3),(1,8),(2,4),(2,11),(3,2),(3,9),(4,7),(4,10),(7,6),(8,9),(9,10),(9,11),(10,5),(10,6),(11,5),(11,7)],12)
[5,1,6,2,7,3,10,4,11,8,12,9]=>([(0,10),(1,4),(1,10),(3,5),(3,9),(4,3),(4,11),(5,7),(5,8),(7,6),(8,2),(8,6),(9,7),(10,11),(11,8),(11,9)],12)
[5,1,6,2,8,3,9,4,10,7,12,11]=>([(0,11),(1,3),(1,11),(2,4),(2,8),(3,2),(3,7),(4,9),(4,10),(7,8),(8,9),(9,5),(9,6),(10,5),(10,6),(11,7),(11,10)],12)
[5,1,6,2,8,3,9,4,11,7,12,10]=>([(0,11),(1,3),(1,11),(2,4),(2,10),(3,2),(3,7),(4,8),(4,9),(7,10),(8,5),(9,5),(9,6),(10,6),(10,8),(11,7),(11,9)],12)
[5,1,6,2,8,3,10,4,11,7,12,9]=>([(0,11),(1,3),(1,11),(2,4),(2,8),(3,2),(3,9),(4,7),(4,10),(7,6),(8,7),(9,5),(9,8),(10,5),(10,6),(11,9),(11,10)],12)
[5,1,6,2,9,3,10,4,11,7,12,8]=>([(0,11),(1,4),(1,11),(3,5),(3,10),(4,3),(4,7),(5,8),(5,9),(7,10),(8,6),(9,2),(9,6),(10,8),(11,7),(11,9)],12)
[5,1,7,2,8,3,9,4,10,6,12,11]=>([(0,3),(0,9),(1,9),(1,11),(2,4),(2,8),(3,2),(3,7),(4,10),(4,11),(7,8),(8,10),(9,7),(10,5),(10,6),(11,5),(11,6)],12)
[5,1,7,2,8,3,9,4,11,6,12,10]=>([(0,3),(0,9),(1,9),(1,10),(2,4),(2,11),(3,2),(3,7),(4,8),(4,10),(7,11),(8,5),(9,7),(10,5),(10,6),(11,6),(11,8)],12)
[5,1,7,2,8,3,10,4,11,6,12,9]=>([(0,3),(0,9),(1,9),(1,11),(2,4),(2,8),(3,2),(3,10),(4,7),(4,11),(7,5),(8,7),(9,10),(10,6),(10,8),(11,5),(11,6)],12)
[5,1,7,2,9,3,10,4,11,6,12,8]=>([(0,3),(0,11),(1,10),(1,11),(2,4),(2,9),(3,2),(3,7),(4,8),(4,10),(7,9),(8,5),(9,8),(10,5),(10,6),(11,6),(11,7)],12)
[5,1,8,2,9,3,10,4,11,6,12,7]=>([(0,4),(0,11),(1,9),(1,11),(3,5),(3,10),(4,3),(4,7),(5,8),(5,9),(7,10),(8,6),(9,2),(9,6),(10,8),(11,7)],12)
[6,1,7,2,8,3,9,4,10,5,12,11]=>([(0,10),(1,4),(1,10),(2,3),(2,9),(3,5),(3,11),(4,2),(4,8),(5,6),(5,7),(8,9),(9,11),(10,8),(11,6),(11,7)],12)
[6,1,7,2,8,3,9,4,11,5,12,10]=>([(0,10),(1,4),(1,10),(2,3),(2,11),(3,5),(3,9),(4,2),(4,8),(5,6),(5,7),(8,11),(9,6),(10,8),(11,7),(11,9)],12)
[6,1,7,2,8,3,10,4,11,5,12,9]=>([(0,10),(1,4),(1,10),(2,3),(2,9),(3,5),(3,8),(4,2),(4,11),(5,6),(5,7),(8,6),(9,8),(10,11),(11,7),(11,9)],12)
[6,1,7,2,9,3,10,4,11,5,12,8]=>([(0,11),(1,4),(1,11),(2,3),(2,10),(3,5),(3,9),(4,2),(4,8),(5,6),(5,7),(8,10),(9,6),(10,9),(11,7),(11,8)],12)
[6,1,8,2,9,3,10,4,11,5,12,7]=>([(0,4),(0,11),(1,7),(1,11),(2,3),(2,10),(3,5),(3,9),(4,2),(4,8),(5,6),(5,7),(8,10),(9,6),(10,9),(11,8)],12)
[1,8,2,9,3,10,4,11,5,12,6,7]=>([(0,2),(0,7),(2,8),(3,1),(4,5),(4,10),(5,3),(5,9),(6,4),(6,11),(7,6),(7,8),(8,11),(10,9),(11,10)],12)
[1,8,2,9,3,10,4,11,12,5,6,7]=>([(0,3),(0,8),(3,9),(4,5),(5,1),(6,4),(6,10),(7,6),(7,11),(8,7),(8,9),(9,11),(10,2),(11,10)],12)
[1,8,2,9,3,10,11,4,5,12,6,7]=>([(0,3),(0,8),(2,9),(3,10),(4,7),(5,4),(5,11),(6,1),(7,6),(7,9),(8,5),(8,10),(10,11),(11,2)],12)
[1,8,2,9,3,10,11,4,12,5,6,7]=>([(0,3),(0,8),(2,9),(3,10),(4,6),(5,7),(5,11),(6,1),(7,4),(7,9),(8,5),(8,10),(10,11),(11,2)],12)
[1,8,2,9,3,10,11,12,4,5,6,7]=>([(0,3),(0,9),(3,10),(4,5),(5,7),(6,4),(6,11),(7,2),(8,1),(9,6),(9,10),(10,11),(11,8)],12)
[1,8,2,9,10,3,4,11,5,12,6,7]=>([(0,3),(0,8),(2,9),(3,10),(4,6),(4,11),(5,7),(6,1),(7,4),(7,9),(8,5),(8,10),(9,11),(10,2)],12)
[1,8,2,9,10,3,4,11,12,5,6,7]=>([(0,4),(0,9),(3,11),(4,10),(5,6),(6,1),(7,8),(8,5),(8,11),(9,7),(9,10),(10,3),(11,2)],12)
[1,8,2,9,10,3,11,4,5,12,6,7]=>([(0,3),(0,8),(2,9),(3,10),(4,5),(5,6),(5,11),(6,1),(7,4),(7,9),(8,7),(8,10),(9,11),(10,2)],12)
[1,8,2,9,10,3,11,4,12,5,6,7]=>([(0,3),(0,8),(2,9),(3,10),(4,6),(5,4),(5,11),(6,1),(7,5),(7,9),(8,7),(8,10),(9,11),(10,2)],12)
[1,8,2,9,10,3,11,12,4,5,6,7]=>([(0,4),(0,9),(3,11),(4,10),(5,7),(6,5),(7,1),(8,6),(8,11),(9,8),(9,10),(10,3),(11,2)],12)
[1,8,2,9,10,11,3,4,5,12,6,7]=>([(0,3),(0,9),(2,10),(3,11),(4,8),(5,4),(6,2),(7,1),(8,7),(8,10),(9,5),(9,11),(11,6)],12)
[1,8,2,9,10,11,3,4,12,5,6,7]=>([(0,3),(0,9),(2,10),(3,11),(4,7),(5,8),(6,2),(7,1),(8,4),(8,10),(9,5),(9,11),(11,6)],12)
[1,8,2,9,10,11,3,12,4,5,6,7]=>([(0,3),(0,9),(2,10),(3,11),(4,7),(5,4),(6,2),(7,1),(8,5),(8,10),(9,8),(9,11),(11,6)],12)
[1,8,2,9,10,11,12,3,4,5,6,7]=>([(0,3),(0,10),(3,11),(4,5),(5,7),(6,4),(7,2),(8,1),(9,8),(10,6),(10,11),(11,9)],12)
[1,8,9,2,3,10,4,11,5,12,6,7]=>([(0,7),(0,8),(2,9),(3,5),(3,9),(4,1),(5,6),(5,11),(6,4),(6,10),(7,3),(8,2),(9,11),(11,10)],12)
[1,8,9,2,3,10,4,11,12,5,6,7]=>([(0,8),(0,9),(2,10),(4,6),(5,4),(5,11),(6,1),(7,5),(7,10),(8,7),(9,2),(10,11),(11,3)],12)
[1,8,9,2,3,10,11,4,5,12,6,7]=>([(0,8),(0,9),(2,10),(3,11),(4,6),(5,1),(6,5),(6,11),(7,4),(7,10),(8,7),(9,2),(10,3)],12)
[1,8,9,2,3,10,11,4,12,5,6,7]=>([(0,8),(0,9),(2,10),(3,11),(4,5),(5,1),(6,4),(6,11),(7,6),(7,10),(8,7),(9,2),(10,3)],12)
[1,8,9,2,3,10,11,12,4,5,6,7]=>([(0,9),(0,10),(3,11),(4,6),(5,4),(6,1),(7,5),(7,11),(8,2),(9,7),(10,3),(11,8)],12)
[1,8,9,2,10,3,4,11,5,12,6,7]=>([(0,7),(0,8),(2,9),(3,5),(4,1),(5,6),(5,11),(6,4),(6,10),(7,3),(7,9),(8,2),(9,11),(11,10)],12)
[1,8,9,2,10,3,4,11,12,5,6,7]=>([(0,8),(0,9),(2,10),(4,7),(5,6),(6,4),(6,11),(7,1),(8,2),(9,5),(9,10),(10,11),(11,3)],12)
[1,8,9,2,10,3,11,4,5,12,6,7]=>([(0,7),(0,8),(2,9),(3,5),(4,1),(5,4),(5,10),(6,3),(6,11),(7,6),(7,9),(8,2),(9,11),(11,10)],12)
[1,8,9,2,10,3,11,4,12,5,6,7]=>([(0,7),(0,8),(2,9),(3,4),(4,1),(5,3),(5,10),(6,5),(6,11),(7,6),(7,9),(8,2),(9,11),(11,10)],12)
[1,8,9,2,10,3,11,12,4,5,6,7]=>([(0,8),(0,9),(2,10),(4,5),(5,7),(6,4),(6,11),(7,1),(8,2),(9,6),(9,10),(10,11),(11,3)],12)
[1,8,9,2,10,11,3,4,5,12,6,7]=>([(0,8),(0,9),(2,10),(3,11),(4,5),(5,7),(6,1),(7,6),(7,11),(8,2),(9,4),(9,10),(10,3)],12)
[1,8,9,2,10,11,3,4,12,5,6,7]=>([(0,8),(0,9),(2,10),(3,11),(4,7),(5,6),(6,1),(7,5),(7,11),(8,2),(9,4),(9,10),(10,3)],12)
[1,8,9,2,10,11,3,12,4,5,6,7]=>([(0,8),(0,9),(2,10),(3,11),(4,6),(5,4),(6,1),(7,5),(7,11),(8,2),(9,7),(9,10),(10,3)],12)
[1,8,9,2,10,11,12,3,4,5,6,7]=>([(0,9),(0,10),(3,11),(4,5),(5,7),(6,4),(7,1),(8,2),(9,3),(10,6),(10,11),(11,8)],12)
[1,8,9,10,2,3,4,11,5,12,6,7]=>([(0,8),(0,9),(2,10),(3,6),(3,11),(4,7),(5,2),(6,1),(7,3),(7,10),(8,4),(9,5),(10,11)],12)
[1,8,9,10,2,3,4,11,12,5,6,7]=>([(0,9),(0,10),(2,11),(4,7),(5,8),(6,2),(7,1),(8,4),(8,11),(9,5),(10,6),(11,3)],12)
[1,8,9,10,2,3,11,4,5,12,6,7]=>([(0,8),(0,9),(2,10),(3,4),(4,6),(4,11),(5,2),(6,1),(7,3),(7,10),(8,5),(9,7),(10,11)],12)
[1,8,9,10,2,3,11,4,12,5,6,7]=>([(0,8),(0,9),(2,10),(3,6),(4,3),(4,11),(5,2),(6,1),(7,4),(7,10),(8,5),(9,7),(10,11)],12)
[1,8,9,10,2,3,11,12,4,5,6,7]=>([(0,9),(0,10),(2,11),(4,7),(5,4),(6,2),(7,1),(8,5),(8,11),(9,6),(10,8),(11,3)],12)
[1,8,9,10,2,11,3,4,5,12,6,7]=>([(0,8),(0,9),(2,10),(3,5),(4,3),(5,7),(5,11),(6,2),(7,1),(8,6),(9,4),(9,10),(10,11)],12)
[1,8,9,10,2,11,3,4,12,5,6,7]=>([(0,8),(0,9),(2,10),(3,7),(4,5),(5,3),(5,11),(6,2),(7,1),(8,6),(9,4),(9,10),(10,11)],12)
[1,8,9,10,2,11,3,12,4,5,6,7]=>([(0,8),(0,9),(2,10),(3,4),(4,7),(5,3),(5,11),(6,2),(7,1),(8,6),(9,5),(9,10),(10,11)],12)
[1,8,9,10,2,11,12,3,4,5,6,7]=>([(0,9),(0,10),(2,11),(4,5),(5,8),(6,4),(7,2),(8,1),(9,7),(10,6),(10,11),(11,3)],12)
[1,8,9,10,11,2,3,4,5,12,6,7]=>([(0,9),(0,10),(2,11),(3,8),(4,2),(5,3),(6,4),(7,1),(8,7),(8,11),(9,5),(10,6)],12)
[1,8,9,10,11,2,3,4,12,5,6,7]=>([(0,9),(0,10),(2,11),(3,7),(4,2),(5,4),(6,8),(7,1),(8,3),(8,11),(9,6),(10,5)],12)
[1,8,9,10,11,2,3,12,4,5,6,7]=>([(0,9),(0,10),(2,11),(3,7),(4,3),(5,2),(6,5),(7,1),(8,4),(8,11),(9,6),(10,8)],12)
[1,8,9,10,11,2,12,3,4,5,6,7]=>([(0,9),(0,10),(2,11),(3,4),(4,8),(5,3),(6,2),(7,6),(8,1),(9,7),(10,5),(10,11)],12)
[1,8,9,10,11,12,2,3,4,5,6,7]=>([(0,10),(0,11),(3,4),(4,8),(5,9),(6,5),(7,3),(8,1),(9,2),(10,6),(11,7)],12)
[8,1,2,9,3,10,4,11,5,12,6,7]=>([(0,11),(1,5),(3,6),(3,8),(4,2),(5,3),(5,11),(6,7),(6,10),(7,4),(7,9),(8,10),(10,9),(11,8)],12)
[8,1,2,9,3,10,4,11,12,5,6,7]=>([(0,11),(1,7),(4,6),(5,4),(5,10),(6,2),(7,8),(7,11),(8,5),(8,9),(9,10),(10,3),(11,9)],12)
[8,1,2,9,3,10,11,4,5,12,6,7]=>([(0,11),(1,6),(3,9),(4,7),(5,2),(6,8),(6,11),(7,5),(7,9),(8,4),(8,10),(10,3),(11,10)],12)
[8,1,2,9,3,10,11,4,12,5,6,7]=>([(0,11),(1,6),(3,9),(4,5),(5,2),(6,7),(6,11),(7,8),(7,10),(8,4),(8,9),(10,3),(11,10)],12)
[8,1,2,9,3,10,11,12,4,5,6,7]=>([(0,10),(1,9),(4,5),(5,7),(6,4),(6,11),(7,3),(8,2),(9,6),(9,10),(10,11),(11,8)],12)
[8,1,2,9,10,3,4,11,5,12,6,7]=>([(0,11),(1,7),(3,9),(4,8),(5,6),(5,10),(6,2),(7,4),(7,11),(8,5),(8,9),(9,10),(11,3)],12)
[8,1,2,9,10,3,4,11,12,5,6,7]=>([(0,11),(1,8),(3,10),(5,9),(6,7),(7,2),(8,5),(8,11),(9,6),(9,10),(10,4),(11,3)],12)
[8,1,2,9,10,3,11,4,5,12,6,7]=>([(0,11),(1,7),(3,9),(4,5),(5,6),(5,10),(6,2),(7,8),(7,11),(8,4),(8,9),(9,10),(11,3)],12)
[8,1,2,9,10,3,11,4,12,5,6,7]=>([(0,11),(1,7),(3,9),(4,6),(5,4),(5,10),(6,2),(7,8),(7,11),(8,5),(8,9),(9,10),(11,3)],12)
[8,1,2,9,10,3,11,12,4,5,6,7]=>([(0,11),(1,8),(3,10),(5,7),(6,5),(7,2),(8,9),(8,11),(9,6),(9,10),(10,4),(11,3)],12)
[8,1,2,9,10,11,3,4,5,12,6,7]=>([(0,11),(1,8),(3,10),(4,5),(5,9),(6,3),(7,2),(8,4),(8,11),(9,7),(9,10),(11,6)],12)
[8,1,2,9,10,11,3,4,12,5,6,7]=>([(0,11),(1,8),(3,10),(4,9),(5,7),(6,3),(7,2),(8,4),(8,11),(9,5),(9,10),(11,6)],12)
[8,1,2,9,10,11,3,12,4,5,6,7]=>([(0,11),(1,8),(3,10),(4,7),(5,4),(6,3),(7,2),(8,9),(8,11),(9,5),(9,10),(11,6)],12)
[8,1,2,9,10,11,12,3,4,5,6,7]=>([(0,11),(1,9),(4,5),(5,7),(6,4),(7,3),(8,2),(9,6),(9,11),(10,8),(11,10)],12)
[8,1,9,2,3,10,4,11,5,12,6,7]=>([(0,11),(1,5),(1,11),(3,6),(3,8),(4,2),(5,3),(6,7),(6,10),(7,4),(7,9),(8,10),(10,9),(11,8)],12)
[8,1,9,2,3,10,4,11,12,5,6,7]=>([(0,11),(1,7),(1,11),(4,6),(5,4),(5,10),(6,2),(7,8),(8,5),(8,9),(9,10),(10,3),(11,9)],12)
[8,1,9,2,3,10,11,4,5,12,6,7]=>([(0,11),(1,6),(1,11),(3,9),(4,7),(5,2),(6,8),(7,5),(7,9),(8,4),(8,10),(10,3),(11,10)],12)
[8,1,9,2,3,10,11,4,12,5,6,7]=>([(0,11),(1,6),(1,11),(3,9),(4,5),(5,2),(6,7),(7,8),(7,10),(8,4),(8,9),(10,3),(11,10)],12)
[8,1,9,2,3,10,11,12,4,5,6,7]=>([(0,10),(1,9),(1,10),(4,5),(5,7),(6,4),(6,11),(7,3),(8,2),(9,6),(10,11),(11,8)],12)
[8,1,9,2,10,3,4,11,5,12,6,7]=>([(0,11),(1,5),(1,11),(3,6),(4,2),(5,3),(5,8),(6,7),(6,10),(7,4),(7,9),(8,10),(10,9),(11,8)],12)
[8,1,9,2,10,3,4,11,12,5,6,7]=>([(0,11),(1,8),(1,11),(4,7),(5,6),(6,4),(6,10),(7,2),(8,5),(8,9),(9,10),(10,3),(11,9)],12)
[8,1,9,2,10,3,11,4,5,12,6,7]=>([(0,11),(1,5),(1,11),(3,6),(4,2),(5,7),(5,8),(6,4),(6,9),(7,3),(7,10),(8,10),(10,9),(11,8)],12)
[8,1,9,2,10,3,11,4,12,5,6,7]=>([(0,11),(1,5),(1,11),(3,4),(4,2),(5,6),(5,8),(6,7),(6,10),(7,3),(7,9),(8,10),(10,9),(11,8)],12)
[8,1,9,2,10,3,11,12,4,5,6,7]=>([(0,11),(1,8),(1,11),(4,5),(5,7),(6,4),(6,10),(7,2),(8,6),(8,9),(9,10),(10,3),(11,9)],12)
[8,1,9,2,10,11,3,4,5,12,6,7]=>([(0,11),(1,8),(1,11),(3,9),(4,5),(5,7),(6,2),(7,6),(7,9),(8,4),(8,10),(10,3),(11,10)],12)
[8,1,9,2,10,11,3,4,12,5,6,7]=>([(0,11),(1,8),(1,11),(3,9),(4,7),(5,6),(6,2),(7,5),(7,9),(8,4),(8,10),(10,3),(11,10)],12)
[8,1,9,2,10,11,3,12,4,5,6,7]=>([(0,11),(1,8),(1,11),(3,9),(4,6),(5,4),(6,2),(7,5),(7,9),(8,7),(8,10),(10,3),(11,10)],12)
[8,1,9,2,10,11,12,3,4,5,6,7]=>([(0,10),(1,9),(1,10),(4,5),(5,7),(6,4),(7,3),(8,2),(9,6),(9,11),(10,11),(11,8)],12)
[8,1,9,10,2,3,4,11,5,12,6,7]=>([(0,11),(1,7),(1,11),(3,9),(4,8),(5,6),(5,10),(6,2),(7,4),(8,5),(8,9),(9,10),(11,3)],12)
[8,1,9,10,2,3,4,11,12,5,6,7]=>([(0,11),(1,8),(1,11),(3,10),(5,9),(6,7),(7,2),(8,5),(9,6),(9,10),(10,4),(11,3)],12)
[8,1,9,10,2,3,11,4,5,12,6,7]=>([(0,11),(1,7),(1,11),(3,9),(4,5),(5,6),(5,10),(6,2),(7,8),(8,4),(8,9),(9,10),(11,3)],12)
[8,1,9,10,2,3,11,4,12,5,6,7]=>([(0,11),(1,7),(1,11),(3,9),(4,6),(5,4),(5,10),(6,2),(7,8),(8,5),(8,9),(9,10),(11,3)],12)
[8,1,9,10,2,3,11,12,4,5,6,7]=>([(0,11),(1,8),(1,11),(3,10),(5,7),(6,5),(7,2),(8,9),(9,6),(9,10),(10,4),(11,3)],12)
[8,1,9,10,2,11,3,4,5,12,6,7]=>([(0,11),(1,8),(1,11),(3,9),(4,6),(5,4),(6,7),(6,10),(7,2),(8,5),(8,9),(9,10),(11,3)],12)
[8,1,9,10,2,11,3,4,12,5,6,7]=>([(0,11),(1,8),(1,11),(3,9),(4,7),(5,6),(6,4),(6,10),(7,2),(8,5),(8,9),(9,10),(11,3)],12)
[8,1,9,10,2,11,3,12,4,5,6,7]=>([(0,11),(1,8),(1,11),(3,9),(4,5),(5,7),(6,4),(6,10),(7,2),(8,6),(8,9),(9,10),(11,3)],12)
[8,1,9,10,2,11,12,3,4,5,6,7]=>([(0,11),(1,9),(1,11),(3,10),(5,6),(6,8),(7,5),(8,2),(9,7),(9,10),(10,4),(11,3)],12)
[8,1,9,10,11,2,3,4,5,12,6,7]=>([(0,11),(1,8),(1,11),(3,10),(4,5),(5,9),(6,3),(7,2),(8,4),(9,7),(9,10),(11,6)],12)
[8,1,9,10,11,2,3,4,12,5,6,7]=>([(0,11),(1,8),(1,11),(3,10),(4,9),(5,7),(6,3),(7,2),(8,4),(9,5),(9,10),(11,6)],12)
[8,1,9,10,11,2,3,12,4,5,6,7]=>([(0,11),(1,8),(1,11),(3,10),(4,7),(5,4),(6,3),(7,2),(8,9),(9,5),(9,10),(11,6)],12)
[8,1,9,10,11,2,12,3,4,5,6,7]=>([(0,11),(1,9),(1,11),(3,10),(4,5),(5,8),(6,4),(7,3),(8,2),(9,6),(9,10),(11,7)],12)
[8,1,9,10,11,12,2,3,4,5,6,7]=>([(0,11),(1,9),(1,11),(4,5),(5,7),(6,4),(7,3),(8,2),(9,6),(10,8),(11,10)],12)
[8,9,1,2,3,10,4,11,5,12,6,7]=>([(0,8),(1,3),(3,9),(4,6),(4,9),(5,2),(6,7),(6,11),(7,5),(7,10),(8,4),(9,11),(11,10)],12)
[8,9,1,2,3,10,4,11,12,5,6,7]=>([(0,9),(1,4),(4,10),(5,7),(6,5),(6,11),(7,2),(8,6),(8,10),(9,8),(10,11),(11,3)],12)
[8,9,1,2,3,10,11,4,5,12,6,7]=>([(0,9),(1,4),(3,10),(4,11),(5,7),(6,2),(7,6),(7,10),(8,5),(8,11),(9,8),(11,3)],12)
[8,9,1,2,3,10,11,4,12,5,6,7]=>([(0,9),(1,4),(3,10),(4,11),(5,6),(6,2),(7,5),(7,10),(8,7),(8,11),(9,8),(11,3)],12)
[8,9,1,2,3,10,11,12,4,5,6,7]=>([(0,10),(1,4),(4,11),(5,7),(6,5),(7,2),(8,6),(8,11),(9,3),(10,8),(11,9)],12)
[8,9,1,2,10,3,4,11,5,12,6,7]=>([(0,8),(1,3),(3,9),(4,6),(5,2),(6,7),(6,11),(7,5),(7,10),(8,4),(8,9),(9,11),(11,10)],12)
[8,9,1,2,10,3,4,11,12,5,6,7]=>([(0,9),(1,4),(4,10),(5,8),(6,5),(6,11),(7,6),(8,2),(9,7),(9,10),(10,11),(11,3)],12)
[8,9,1,2,10,3,11,4,5,12,6,7]=>([(0,8),(1,3),(3,9),(4,6),(5,2),(6,5),(6,10),(7,4),(7,11),(8,7),(8,9),(9,11),(11,10)],12)
[8,9,1,2,10,3,11,4,12,5,6,7]=>([(0,8),(1,3),(3,9),(4,5),(5,2),(6,4),(6,10),(7,6),(7,11),(8,7),(8,9),(9,11),(11,10)],12)
[8,9,1,2,10,3,11,12,4,5,6,7]=>([(0,9),(1,4),(4,10),(5,6),(6,8),(7,5),(7,11),(8,2),(9,7),(9,10),(10,11),(11,3)],12)
[8,9,1,2,10,11,3,4,5,12,6,7]=>([(0,9),(1,4),(3,10),(4,11),(5,8),(6,5),(7,2),(8,7),(8,10),(9,6),(9,11),(11,3)],12)
[8,9,1,2,10,11,3,4,12,5,6,7]=>([(0,9),(1,4),(3,10),(4,11),(5,7),(6,8),(7,2),(8,5),(8,10),(9,6),(9,11),(11,3)],12)
[8,9,1,2,10,11,3,12,4,5,6,7]=>([(0,9),(1,4),(3,10),(4,11),(5,7),(6,5),(7,2),(8,6),(8,10),(9,8),(9,11),(11,3)],12)
[8,9,1,2,10,11,12,3,4,5,6,7]=>([(0,10),(1,4),(4,11),(5,6),(6,8),(7,5),(8,2),(9,3),(10,7),(10,11),(11,9)],12)
[8,9,1,10,2,3,4,11,5,12,6,7]=>([(0,8),(0,11),(1,3),(3,11),(4,6),(4,10),(5,7),(6,2),(7,4),(7,9),(8,5),(9,10),(11,9)],12)
[8,9,1,10,2,3,4,11,12,5,6,7]=>([(0,9),(0,11),(1,4),(4,11),(5,7),(6,8),(7,2),(8,5),(8,10),(9,6),(10,3),(11,10)],12)
[8,9,1,10,2,3,11,4,5,12,6,7]=>([(0,8),(0,11),(1,3),(3,11),(4,5),(5,6),(5,10),(6,2),(7,4),(7,9),(8,7),(9,10),(11,9)],12)
[8,9,1,10,2,3,11,4,12,5,6,7]=>([(0,8),(0,11),(1,3),(3,11),(4,6),(5,4),(5,10),(6,2),(7,5),(7,9),(8,7),(9,10),(11,9)],12)
[8,9,1,10,2,3,11,12,4,5,6,7]=>([(0,9),(0,11),(1,4),(4,11),(5,7),(6,5),(7,2),(8,6),(8,10),(9,8),(10,3),(11,10)],12)
[8,9,1,10,2,11,3,4,5,12,6,7]=>([(0,8),(0,11),(1,3),(3,11),(4,5),(5,7),(5,10),(6,4),(7,2),(8,6),(8,9),(9,10),(11,9)],12)
[8,9,1,10,2,11,3,4,12,5,6,7]=>([(0,8),(0,11),(1,3),(3,11),(4,7),(5,4),(5,10),(6,5),(7,2),(8,6),(8,9),(9,10),(11,9)],12)
[8,9,1,10,2,11,3,12,4,5,6,7]=>([(0,8),(0,11),(1,3),(3,11),(4,5),(5,7),(6,4),(6,10),(7,2),(8,6),(8,9),(9,10),(11,9)],12)
[8,9,1,10,2,11,12,3,4,5,6,7]=>([(0,9),(0,11),(1,4),(4,11),(5,6),(6,8),(7,5),(8,2),(9,7),(9,10),(10,3),(11,10)],12)
[8,9,1,10,11,2,3,4,5,12,6,7]=>([(0,9),(0,11),(1,4),(3,10),(4,11),(5,8),(6,5),(7,2),(8,7),(8,10),(9,6),(11,3)],12)
[8,9,1,10,11,2,3,4,12,5,6,7]=>([(0,9),(0,11),(1,4),(3,10),(4,11),(5,7),(6,8),(7,2),(8,5),(8,10),(9,6),(11,3)],12)
[8,9,1,10,11,2,3,12,4,5,6,7]=>([(0,9),(0,11),(1,4),(3,10),(4,11),(5,7),(6,5),(7,2),(8,6),(8,10),(9,8),(11,3)],12)
[8,9,1,10,11,2,12,3,4,5,6,7]=>([(0,9),(0,11),(1,4),(3,10),(4,11),(5,6),(6,8),(7,5),(8,2),(9,7),(9,10),(11,3)],12)
[8,9,1,10,11,12,2,3,4,5,6,7]=>([(0,4),(1,10),(1,11),(4,11),(5,6),(6,8),(7,5),(8,2),(9,3),(10,7),(11,9)],12)
[8,9,10,1,2,3,4,11,5,12,6,7]=>([(0,8),(1,9),(3,10),(4,6),(4,11),(5,7),(6,2),(7,4),(7,10),(8,5),(9,3),(10,11)],12)
[8,9,10,1,2,3,4,11,12,5,6,7]=>([(0,9),(1,10),(3,11),(5,7),(6,8),(7,2),(8,5),(8,11),(9,6),(10,3),(11,4)],12)
[8,9,10,1,2,3,11,4,5,12,6,7]=>([(0,8),(1,9),(3,10),(4,5),(5,6),(5,11),(6,2),(7,4),(7,10),(8,7),(9,3),(10,11)],12)
[8,9,10,1,2,3,11,4,12,5,6,7]=>([(0,8),(1,9),(3,10),(4,6),(5,4),(5,11),(6,2),(7,5),(7,10),(8,7),(9,3),(10,11)],12)
[8,9,10,1,2,3,11,12,4,5,6,7]=>([(0,9),(1,10),(3,11),(5,7),(6,5),(7,2),(8,6),(8,11),(9,8),(10,3),(11,4)],12)
[8,9,10,1,2,11,3,4,5,12,6,7]=>([(0,9),(1,8),(3,10),(4,6),(5,4),(6,7),(6,11),(7,2),(8,3),(9,5),(9,10),(10,11)],12)
[8,9,10,1,2,11,3,4,12,5,6,7]=>([(0,9),(1,8),(3,10),(4,7),(5,6),(6,4),(6,11),(7,2),(8,3),(9,5),(9,10),(10,11)],12)
[8,9,10,1,2,11,3,12,4,5,6,7]=>([(0,9),(1,8),(3,10),(4,5),(5,7),(6,4),(6,11),(7,2),(8,3),(9,6),(9,10),(10,11)],12)
[8,9,10,1,2,11,12,3,4,5,6,7]=>([(0,10),(1,9),(3,11),(5,6),(6,8),(7,5),(8,2),(9,3),(10,7),(10,11),(11,4)],12)
[8,9,10,1,11,2,3,4,5,12,6,7]=>([(0,9),(1,8),(1,11),(3,11),(4,7),(5,4),(6,2),(7,6),(7,10),(8,5),(9,3),(11,10)],12)
[8,9,10,1,11,2,3,4,12,5,6,7]=>([(0,9),(1,8),(1,11),(3,11),(4,6),(5,7),(6,2),(7,4),(7,10),(8,5),(9,3),(11,10)],12)
[8,9,10,1,11,2,3,12,4,5,6,7]=>([(0,9),(1,8),(1,11),(3,11),(4,6),(5,4),(6,2),(7,5),(7,10),(8,7),(9,3),(11,10)],12)
[8,9,10,1,11,2,12,3,4,5,6,7]=>([(0,9),(0,11),(1,8),(3,11),(4,5),(5,7),(6,4),(7,2),(8,3),(9,6),(9,10),(11,10)],12)
[8,9,10,1,11,12,2,3,4,5,6,7]=>([(0,9),(1,10),(1,11),(3,11),(5,6),(6,8),(7,5),(8,2),(9,3),(10,7),(11,4)],12)
[8,9,10,11,1,2,3,4,5,12,6,7]=>([(0,9),(1,10),(3,11),(4,8),(5,4),(6,3),(7,2),(8,7),(8,11),(9,5),(10,6)],12)
[8,9,10,11,1,2,3,4,12,5,6,7]=>([(0,9),(1,10),(3,11),(4,7),(5,8),(6,3),(7,2),(8,4),(8,11),(9,5),(10,6)],12)
[8,9,10,11,1,2,3,12,4,5,6,7]=>([(0,9),(1,10),(3,11),(4,7),(5,4),(6,3),(7,2),(8,5),(8,11),(9,6),(10,8)],12)
[8,9,10,11,1,2,12,3,4,5,6,7]=>([(0,10),(1,9),(3,11),(4,5),(5,8),(6,4),(7,3),(8,2),(9,7),(10,6),(10,11)],12)
[8,9,10,11,1,12,2,3,4,5,6,7]=>([(0,9),(1,10),(1,11),(3,11),(4,5),(5,8),(6,4),(7,3),(8,2),(9,7),(10,6)],12)
[8,9,10,11,12,1,2,3,4,5,6,7]=>([(0,10),(1,11),(4,5),(5,9),(6,4),(7,8),(8,2),(9,3),(10,7),(11,6)],12)
[12,10,8,6,4,2,1,3,5,7,9,11]=>([(1,7),(2,7),(3,9),(4,10),(5,11),(6,8),(7,11),(9,10),(10,8),(11,9)],12)
[11,12,8,6,4,2,1,3,5,7,10,9]=>([(0,7),(1,7),(2,11),(3,10),(4,8),(4,9),(5,6),(7,10),(10,11),(11,8),(11,9)],12)
[12,9,10,6,4,2,1,3,5,8,7,11]=>([(1,7),(2,7),(3,10),(4,8),(4,9),(5,6),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12)
[11,9,12,6,4,2,1,3,5,8,10,7]=>([(0,7),(1,7),(2,6),(3,11),(4,6),(4,8),(5,9),(5,10),(7,11),(10,8),(11,9),(11,10)],12)
[10,11,12,6,4,2,1,3,5,9,8,7]=>([(0,7),(1,7),(2,11),(3,8),(3,9),(3,10),(4,5),(5,6),(7,11),(11,8),(11,9),(11,10)],12)
[12,10,7,8,4,2,1,3,6,5,9,11]=>([(1,9),(1,10),(2,7),(3,7),(4,8),(5,6),(6,11),(7,9),(7,10),(9,11),(10,11),(11,8)],12)
[11,12,7,8,4,2,1,3,6,5,10,9]=>([(0,7),(1,7),(2,8),(2,9),(3,5),(4,6),(6,10),(6,11),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,9,7,10,4,2,1,3,6,8,5,11]=>([(1,7),(2,7),(3,6),(4,6),(4,9),(5,8),(5,10),(6,11),(7,8),(7,10),(8,11),(9,11),(10,9)],12)
[11,9,7,12,4,2,1,3,6,8,10,5]=>([(0,6),(1,6),(2,11),(3,7),(3,11),(4,9),(4,11),(5,8),(5,10),(6,8),(6,10),(9,7),(10,9)],12)
[10,11,7,12,4,2,1,3,6,9,8,5]=>([(0,5),(1,11),(2,11),(3,8),(3,10),(4,6),(4,7),(4,9),(5,9),(10,6),(10,7),(11,8),(11,10)],12)
[12,8,9,10,4,2,1,3,7,6,5,11]=>([(1,7),(2,7),(3,8),(3,9),(3,10),(4,5),(5,6),(6,11),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[11,8,9,12,4,2,1,3,7,6,10,5]=>([(0,6),(1,6),(2,10),(3,7),(3,8),(3,9),(4,5),(5,10),(5,11),(6,7),(6,8),(6,9),(8,11),(9,11)],12)
[10,8,11,12,4,2,1,3,7,9,6,5]=>([(0,9),(1,11),(2,11),(3,8),(3,9),(4,6),(4,7),(4,10),(9,5),(10,8),(11,6),(11,7),(11,10)],12)
[9,10,11,12,4,2,1,3,8,7,6,5]=>([(0,4),(1,11),(2,11),(3,7),(3,8),(3,9),(3,10),(4,6),(6,5),(11,7),(11,8),(11,9),(11,10)],12)
[12,10,8,5,6,2,1,4,3,7,9,11]=>([(1,10),(2,9),(3,7),(3,8),(4,7),(4,8),(5,6),(6,11),(7,11),(8,11),(9,10),(11,9)],12)
[11,12,8,5,6,2,1,4,3,7,10,9]=>([(0,7),(0,8),(1,7),(1,8),(2,9),(2,10),(3,5),(4,6),(6,11),(7,11),(8,11),(11,9),(11,10)],12)
[12,9,10,5,6,2,1,4,3,8,7,11]=>([(1,7),(1,8),(2,7),(2,8),(3,5),(4,6),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(10,9),(11,9)],12)
[11,9,12,5,6,2,1,4,3,8,10,7]=>([(0,7),(1,6),(1,7),(2,8),(2,9),(3,8),(3,9),(4,5),(5,10),(5,11),(8,10),(8,11),(9,10),(9,11),(11,6)],12)
[10,11,12,5,6,2,1,4,3,9,8,7]=>([(0,7),(0,8),(1,7),(1,8),(2,4),(3,5),(4,6),(5,9),(5,10),(5,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[12,10,7,5,8,2,1,4,6,3,9,11]=>([(1,7),(2,9),(3,7),(3,10),(4,6),(4,8),(5,6),(5,8),(6,10),(7,11),(8,11),(10,11),(11,9)],12)
[11,12,7,5,8,2,1,4,6,3,10,9]=>([(0,7),(1,7),(1,9),(2,6),(2,8),(3,6),(3,8),(4,5),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[12,9,7,5,10,2,1,4,6,8,3,11]=>([(1,10),(2,9),(2,10),(3,8),(3,10),(4,6),(4,7),(5,6),(5,7),(6,11),(7,8),(8,9),(9,11),(10,11)],12)
[11,9,7,5,12,2,1,4,6,8,10,3]=>([(0,6),(0,7),(1,6),(1,7),(2,11),(3,9),(3,11),(4,10),(4,11),(5,8),(5,11),(7,10),(9,8),(10,9)],12)
[10,11,7,5,12,2,1,4,6,9,8,3]=>([(0,6),(0,7),(1,6),(1,7),(2,10),(2,11),(3,8),(3,9),(3,11),(4,5),(5,11),(7,10),(10,8),(10,9)],12)
[12,8,9,5,10,2,1,4,7,6,3,11]=>([(1,8),(1,9),(1,10),(2,6),(2,7),(3,6),(3,7),(4,5),(5,10),(6,8),(6,9),(7,11),(8,11),(9,11),(10,11)],12)
[11,8,9,5,12,2,1,4,7,6,10,3]=>([(0,10),(1,8),(1,9),(1,10),(2,6),(2,7),(3,6),(3,7),(4,5),(5,10),(5,11),(7,8),(7,9),(8,11),(9,11)],12)
[10,8,11,5,12,2,1,4,7,9,6,3]=>([(0,10),(1,7),(1,10),(2,8),(2,11),(3,8),(3,11),(4,5),(4,6),(4,9),(9,7),(10,5),(11,6),(11,9)],12)
[9,10,11,5,12,2,1,4,8,7,6,3]=>([(0,4),(1,10),(1,11),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(4,5),(5,9),(11,6),(11,7),(11,8)],12)
[12,10,6,7,8,2,1,5,4,3,9,11]=>([(1,10),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,5),(5,6),(6,11),(7,11),(8,11),(9,11),(11,10)],12)
[11,12,6,7,8,2,1,5,4,3,10,9]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,4),(3,5),(5,6),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[12,9,6,7,10,2,1,5,4,8,3,11]=>([(1,9),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(5,9),(5,11),(6,11),(7,11),(8,10),(9,10),(11,10)],12)
[11,9,6,7,12,2,1,5,4,8,10,3]=>([(0,10),(1,9),(1,10),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(5,10),(5,11),(7,11),(8,11),(11,9)],12)
[10,11,6,7,12,2,1,5,4,9,8,3]=>([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,4),(3,5),(4,9),(5,9),(5,10),(5,11),(7,10),(7,11),(8,10),(8,11)],12)
[12,8,6,9,10,2,1,5,7,4,3,11]=>([(1,10),(2,9),(2,10),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,11),(6,9),(7,11),(8,11),(9,11),(10,5)],12)
[11,8,6,9,12,2,1,5,7,4,10,3]=>([(0,10),(1,8),(2,7),(2,10),(3,5),(3,6),(3,9),(4,5),(4,6),(4,9),(6,11),(7,11),(9,7),(10,8),(10,11)],12)
[10,8,6,11,12,2,1,5,7,9,4,3]=>([(0,11),(1,10),(1,11),(2,9),(2,11),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(8,9),(9,10),(11,5)],12)
[9,10,6,11,12,2,1,5,8,7,4,3]=>([(0,5),(1,6),(1,7),(1,8),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(5,8),(8,4),(11,6),(11,7)],12)
[12,7,8,9,10,2,1,6,5,4,3,11]=>([(1,4),(2,7),(2,8),(2,9),(2,10),(3,7),(3,8),(3,9),(3,10),(4,6),(5,11),(6,5),(7,11),(8,11),(9,11),(10,11)],12)
[11,7,8,9,12,2,1,6,5,4,10,3]=>([(0,4),(1,6),(2,7),(2,8),(2,9),(2,10),(3,7),(3,8),(3,9),(3,10),(4,5),(5,6),(5,11),(8,11),(9,11),(10,11)],12)
[10,7,8,11,12,2,1,6,5,9,4,3]=>([(0,5),(1,6),(2,7),(2,8),(2,9),(2,10),(3,7),(3,8),(3,9),(3,10),(5,6),(5,11),(6,4),(9,11),(10,11)],12)
[9,7,10,11,12,2,1,6,8,5,4,3]=>([(0,7),(1,6),(1,7),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(7,4),(11,6)],12)
[8,9,10,11,12,2,1,7,6,5,4,3]=>([(0,3),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(5,4),(6,5)],12)
[12,10,8,6,3,4,2,1,5,7,9,11]=>([(1,8),(2,11),(3,11),(4,9),(5,10),(6,7),(7,11),(8,10),(10,9),(11,8)],12)
[11,12,8,6,3,4,2,1,5,7,10,9]=>([(0,8),(1,11),(2,11),(3,9),(3,10),(4,6),(5,7),(7,11),(8,9),(8,10),(11,8)],12)
[12,9,10,6,3,4,2,1,5,8,7,11]=>([(1,10),(2,10),(3,8),(3,9),(4,6),(5,7),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12)
[11,9,12,6,3,4,2,1,5,8,10,7]=>([(0,11),(1,11),(2,7),(3,7),(3,10),(4,8),(4,9),(5,6),(6,11),(9,10),(11,8),(11,9)],12)
[10,11,12,6,3,4,2,1,5,9,8,7]=>([(0,11),(1,11),(2,8),(2,9),(2,10),(3,5),(4,6),(5,7),(6,11),(11,8),(11,9),(11,10)],12)
[12,10,7,8,3,4,2,1,6,5,9,11]=>([(1,9),(1,10),(2,9),(2,10),(3,8),(4,6),(5,7),(6,11),(7,9),(7,10),(9,11),(10,11),(11,8)],12)
[11,12,7,8,3,4,2,1,6,5,10,9]=>([(0,8),(0,9),(1,8),(1,9),(2,5),(3,6),(4,7),(6,10),(6,11),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,9,7,10,3,4,2,1,6,8,5,11]=>([(1,10),(1,11),(2,10),(2,11),(3,8),(4,7),(4,8),(5,6),(6,10),(6,11),(7,9),(8,9),(10,9),(11,7)],12)
[11,9,7,12,3,4,2,1,6,8,10,5]=>([(0,9),(1,8),(1,9),(2,10),(2,11),(3,10),(3,11),(4,7),(4,9),(5,6),(6,10),(6,11),(7,8),(11,7)],12)
[10,11,7,12,3,4,2,1,6,9,8,5]=>([(0,10),(0,11),(1,10),(1,11),(2,7),(2,8),(2,9),(3,5),(4,6),(5,9),(6,10),(6,11),(11,7),(11,8)],12)
[12,8,9,10,3,4,2,1,7,6,5,11]=>([(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,5),(4,6),(5,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[11,8,9,12,3,4,2,1,7,6,10,5]=>([(0,8),(0,9),(0,10),(1,8),(1,9),(1,10),(2,7),(3,5),(4,6),(5,8),(5,9),(5,10),(6,7),(6,11),(9,11),(10,11)],12)
[10,8,11,12,3,4,2,1,7,9,6,5]=>([(0,8),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,7),(3,8),(4,6),(6,9),(6,10),(6,11),(8,5),(11,7)],12)
[9,10,11,12,3,4,2,1,8,7,6,5]=>([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,4),(3,5),(4,6),(5,8),(5,9),(5,10),(5,11),(6,7)],12)
[12,10,8,5,3,6,2,4,1,7,9,11]=>([(1,10),(2,11),(3,8),(4,7),(5,9),(6,7),(6,8),(7,11),(8,11),(9,10),(11,9)],12)
[11,12,8,5,3,6,2,4,1,7,10,9]=>([(0,11),(1,8),(2,7),(3,7),(3,8),(4,9),(4,10),(5,6),(7,11),(8,11),(11,9),(11,10)],12)
[12,9,10,5,3,6,2,4,1,8,7,11]=>([(1,9),(1,10),(2,8),(3,7),(4,7),(4,8),(5,6),(6,11),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[11,9,12,5,3,6,2,4,1,8,10,7]=>([(0,10),(0,11),(1,6),(2,9),(3,8),(4,6),(4,7),(5,8),(5,9),(8,10),(8,11),(9,10),(9,11),(11,7)],12)
[10,11,12,5,3,6,2,4,1,9,8,7]=>([(0,9),(0,10),(0,11),(1,8),(2,7),(3,7),(3,8),(4,5),(5,6),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[12,10,7,5,3,8,2,4,6,1,9,11]=>([(1,11),(2,10),(3,9),(3,10),(4,7),(5,8),(6,8),(6,10),(8,9),(9,11),(10,11),(11,7)],12)
[11,12,7,5,3,8,2,4,6,1,10,9]=>([(0,9),(1,8),(1,9),(2,10),(2,11),(3,7),(4,7),(4,9),(5,6),(7,8),(8,10),(8,11),(9,10),(9,11)],12)
[12,9,7,5,3,10,2,4,6,8,1,11]=>([(1,7),(2,11),(3,7),(3,11),(4,10),(5,8),(5,11),(6,9),(6,11),(7,9),(8,10),(9,8),(11,10)],12)
[11,9,7,5,3,12,2,4,6,8,10,1]=>([(1,7),(2,11),(3,7),(3,11),(4,9),(4,11),(5,10),(5,11),(6,8),(6,11),(7,10),(9,8),(10,9)],12)
[10,11,7,5,3,12,2,4,6,9,8,1]=>([(1,7),(2,7),(2,11),(3,10),(3,11),(4,8),(4,9),(4,11),(5,6),(6,11),(7,10),(10,8),(10,9)],12)
[12,8,9,5,3,10,2,4,7,6,1,11]=>([(1,7),(2,11),(3,7),(3,10),(4,8),(4,9),(4,10),(5,6),(6,10),(7,8),(7,9),(8,11),(9,11),(10,11)],12)
[11,8,9,5,3,12,2,4,7,6,10,1]=>([(1,7),(2,11),(3,7),(3,11),(4,8),(4,9),(4,11),(5,6),(6,10),(6,11),(7,8),(7,9),(8,10),(9,10)],12)
[10,8,11,5,3,12,2,4,7,9,6,1]=>([(1,7),(2,6),(3,7),(3,11),(4,6),(4,9),(5,8),(5,10),(5,11),(6,11),(7,8),(7,10),(10,9)],12)
[9,10,11,5,3,12,2,4,8,7,6,1]=>([(1,7),(2,7),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(5,6),(6,11),(7,8),(7,9),(7,10)],12)
[12,10,6,7,3,8,2,5,4,1,9,11]=>([(1,11),(2,9),(3,7),(3,8),(4,7),(4,8),(4,10),(5,6),(6,10),(7,11),(8,11),(10,11),(11,9)],12)
[11,12,6,7,3,8,2,5,4,1,10,9]=>([(0,10),(0,11),(1,7),(1,8),(2,7),(2,8),(2,9),(3,5),(4,6),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[12,9,6,7,3,10,2,5,4,8,1,11]=>([(1,9),(2,10),(3,7),(3,8),(4,7),(4,8),(4,10),(5,6),(6,10),(6,11),(7,11),(8,11),(10,9),(11,9)],12)
[11,9,6,7,3,12,2,5,4,8,10,1]=>([(1,11),(2,9),(2,11),(3,7),(3,8),(4,7),(4,8),(4,11),(5,6),(6,10),(6,11),(7,10),(8,10),(10,9)],12)
[10,11,6,7,3,12,2,5,4,9,8,1]=>([(1,7),(1,8),(2,7),(2,8),(2,11),(3,5),(4,6),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(8,9),(8,10)],12)
[12,8,6,9,3,10,2,5,7,4,1,11]=>([(1,11),(2,7),(3,7),(3,10),(4,6),(4,8),(5,6),(5,8),(5,9),(6,10),(7,9),(8,11),(9,11),(10,11)],12)
[11,8,6,9,3,12,2,5,7,4,10,1]=>([(1,10),(2,8),(3,8),(3,9),(4,6),(4,7),(5,6),(5,7),(5,10),(6,11),(7,9),(8,10),(8,11),(9,11)],12)
[10,8,6,11,3,12,2,5,7,9,4,1]=>([(1,11),(2,10),(2,11),(3,9),(3,11),(4,6),(4,7),(5,6),(5,7),(5,8),(7,9),(9,10),(11,8)],12)
[9,10,6,11,3,12,2,5,8,7,4,1]=>([(1,5),(2,9),(2,11),(3,8),(3,9),(3,11),(4,6),(4,7),(4,10),(5,10),(10,8),(11,6),(11,7)],12)
[12,7,8,9,3,10,2,6,5,4,1,11]=>([(1,11),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(3,10),(4,5),(5,6),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[11,7,8,9,3,12,2,6,5,4,10,1]=>([(1,10),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(3,10),(4,5),(5,6),(6,10),(6,11),(7,11),(8,11),(9,11)],12)
[10,7,8,11,3,12,2,6,5,9,4,1]=>([(1,10),(2,6),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(5,10),(5,11),(8,11),(9,11),(10,7)],12)
[9,7,10,11,3,12,2,6,8,5,4,1]=>([(1,9),(2,8),(2,9),(3,6),(3,7),(3,11),(4,6),(4,7),(4,10),(4,11),(5,10),(9,5),(11,8)],12)
[8,9,10,11,3,12,2,7,6,5,4,1]=>([(1,5),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(5,4),(6,7)],12)
[12,10,8,4,5,6,3,2,1,7,9,11]=>([(1,10),(2,11),(3,11),(4,11),(5,9),(6,7),(7,8),(8,11),(9,10),(11,9)],12)
[11,12,8,4,5,6,3,2,1,7,10,9]=>([(0,11),(1,11),(2,11),(3,9),(3,10),(4,6),(5,7),(7,8),(8,11),(11,9),(11,10)],12)
[12,9,10,4,5,6,3,2,1,8,7,11]=>([(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,6),(5,7),(6,8),(7,9),(8,10),(8,11),(10,9),(11,9)],12)
[11,9,12,4,5,6,3,2,1,8,10,7]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,9),(4,8),(4,9),(5,6),(6,7),(7,10),(7,11),(11,8)],12)
[10,11,12,4,5,6,3,2,1,9,8,7]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,5),(4,6),(5,8),(6,7),(8,9),(8,10),(8,11)],12)
[12,10,7,4,5,8,3,2,6,1,9,11]=>([(1,11),(2,11),(3,9),(4,10),(5,8),(6,7),(7,9),(7,11),(9,10),(10,8),(11,10)],12)
[11,12,7,4,5,8,3,2,6,1,10,9]=>([(0,11),(1,11),(2,9),(2,10),(3,8),(4,6),(5,7),(7,8),(7,11),(8,9),(8,10),(11,9),(11,10)],12)
[12,9,7,4,5,10,3,2,6,8,1,11]=>([(1,11),(2,11),(3,9),(4,10),(5,8),(5,10),(6,7),(7,10),(7,11),(8,9),(10,9),(11,8)],12)
[11,9,7,4,5,12,3,2,6,8,10,1]=>([(1,11),(2,9),(2,11),(3,10),(4,10),(5,8),(5,11),(6,7),(7,10),(7,11),(8,9),(10,8)],12)
[10,11,7,4,5,12,3,2,6,9,8,1]=>([(1,10),(2,10),(3,8),(3,9),(3,11),(4,6),(5,7),(6,11),(7,10),(7,11),(10,8),(10,9)],12)
[12,8,9,4,5,10,3,2,7,6,1,11]=>([(1,11),(2,9),(2,10),(3,9),(3,10),(4,6),(5,7),(6,8),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[11,8,9,4,5,12,3,2,7,6,10,1]=>([(1,11),(2,8),(2,9),(3,8),(3,9),(4,6),(5,7),(6,10),(6,11),(7,8),(7,9),(7,11),(8,10),(9,10)],12)
[10,8,11,4,5,12,3,2,7,9,6,1]=>([(1,10),(1,11),(2,10),(2,11),(3,8),(4,7),(4,8),(5,6),(6,9),(6,10),(6,11),(8,9),(11,7)],12)
[9,10,11,4,5,12,3,2,8,7,6,1]=>([(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,5),(4,6),(5,7),(6,8),(6,9),(6,10),(6,11),(7,8)],12)
[12,10,6,4,7,8,3,5,2,1,9,11]=>([(1,10),(2,11),(3,11),(4,8),(5,9),(6,8),(6,10),(7,11),(8,11),(10,7),(11,9)],12)
[11,12,6,4,7,8,3,5,2,1,10,9]=>([(0,9),(1,10),(1,11),(2,10),(2,11),(3,8),(4,8),(4,9),(5,6),(7,10),(7,11),(8,10),(8,11),(9,7)],12)
[12,9,6,4,7,10,3,5,2,8,1,11]=>([(1,11),(2,9),(3,10),(4,7),(5,8),(6,7),(6,8),(7,11),(8,9),(8,11),(9,10),(11,10)],12)
[11,9,6,4,7,12,3,5,2,8,10,1]=>([(1,11),(2,10),(3,7),(4,9),(5,8),(5,10),(6,7),(6,9),(7,11),(9,10),(9,11),(11,8)],12)
[10,11,6,4,7,12,3,5,2,9,8,1]=>([(1,10),(1,11),(2,7),(3,8),(4,7),(4,8),(5,6),(6,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[12,8,6,4,9,10,3,5,7,2,1,11]=>([(1,11),(2,11),(3,10),(4,9),(4,10),(5,8),(6,8),(6,10),(7,11),(8,9),(9,11),(10,7)],12)
[11,8,6,4,9,12,3,5,7,2,10,1]=>([(1,11),(2,9),(2,11),(3,10),(4,7),(5,8),(6,8),(6,11),(8,9),(9,10),(11,7),(11,10)],12)
[10,8,6,4,11,12,3,5,7,9,2,1]=>([(2,8),(3,11),(4,8),(4,11),(5,9),(5,11),(6,10),(6,11),(8,10),(10,9),(11,7)],12)
[9,10,6,4,11,12,3,5,8,7,2,1]=>([(2,8),(3,8),(3,11),(4,9),(4,10),(4,11),(5,6),(6,11),(8,9),(8,10),(11,7)],12)
[12,7,8,4,9,10,3,6,5,2,1,11]=>([(1,11),(2,11),(3,8),(3,9),(4,8),(4,9),(4,10),(5,6),(6,10),(7,11),(8,11),(9,11),(10,7)],12)
[11,7,8,4,9,12,3,6,5,2,10,1]=>([(1,11),(2,7),(3,8),(3,9),(4,8),(4,9),(4,10),(5,6),(6,10),(8,11),(9,11),(10,7),(10,11)],12)
[10,7,8,4,11,12,3,6,5,9,2,1]=>([(2,11),(3,8),(3,9),(4,8),(4,9),(4,11),(5,7),(7,10),(7,11),(8,10),(9,10),(11,6)],12)
[9,7,10,4,11,12,3,6,8,5,2,1]=>([(2,9),(3,9),(3,10),(4,7),(4,8),(5,7),(5,8),(5,11),(8,10),(9,11),(11,6)],12)
[8,9,10,4,11,12,3,7,6,5,2,1]=>([(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(3,11),(4,6),(6,7),(7,11),(11,5)],12)
[12,10,5,6,7,8,4,3,2,1,9,11]=>([(1,7),(2,11),(3,11),(4,11),(5,11),(6,10),(7,9),(8,11),(9,8),(11,10)],12)
[11,12,5,6,7,8,4,3,2,1,10,9]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,6),(5,7),(7,8),(8,9),(9,10),(9,11)],12)
[12,9,5,6,7,10,4,3,2,8,1,11]=>([(1,11),(2,11),(3,11),(4,10),(5,9),(6,7),(7,8),(8,9),(8,11),(9,10),(11,10)],12)
[11,9,5,6,7,12,4,3,2,8,10,1]=>([(1,11),(2,11),(3,11),(4,10),(5,9),(5,10),(6,7),(7,8),(8,10),(8,11),(11,9)],12)
[10,11,5,6,7,12,4,3,2,9,8,1]=>([(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,6),(5,7),(6,8),(7,9),(8,9),(8,10),(8,11)],12)
[12,8,5,6,9,10,4,3,7,2,1,11]=>([(1,11),(2,11),(3,10),(4,10),(5,9),(6,7),(7,9),(7,10),(8,11),(9,8),(10,11)],12)
[11,8,5,6,9,12,4,3,7,2,10,1]=>([(1,11),(2,11),(3,9),(4,10),(5,8),(6,7),(7,9),(7,11),(9,8),(9,10),(11,10)],12)
[10,8,5,6,11,12,4,3,7,9,2,1]=>([(2,11),(3,10),(4,10),(5,9),(5,11),(6,8),(8,10),(8,11),(10,9),(11,7)],12)
[9,10,5,6,11,12,4,3,8,7,2,1]=>([(2,10),(2,11),(3,10),(3,11),(4,6),(5,7),(6,9),(7,9),(7,10),(7,11),(9,8)],12)
[12,7,5,8,9,10,4,6,3,2,1,11]=>([(1,10),(2,11),(3,11),(4,11),(5,9),(6,9),(6,10),(7,8),(8,11),(9,11),(10,7)],12)
[11,7,5,8,9,12,4,6,3,2,10,1]=>([(1,9),(2,10),(3,11),(4,11),(5,8),(6,8),(6,9),(7,10),(7,11),(8,11),(9,7)],12)
[10,7,5,8,11,12,4,6,3,9,2,1]=>([(2,10),(3,11),(4,8),(5,9),(6,8),(6,9),(8,11),(9,10),(9,11),(10,7)],12)
[9,7,5,10,11,12,4,6,8,3,2,1]=>([(3,11),(4,10),(4,11),(5,9),(6,9),(6,11),(7,8),(9,10),(11,7)],12)
[8,9,5,10,11,12,4,7,6,3,2,1]=>([(3,9),(3,10),(4,9),(4,10),(4,11),(5,6),(6,11),(7,8),(11,7)],12)
[12,6,7,8,9,10,5,4,3,2,1,11]=>([(1,7),(2,11),(3,11),(4,11),(5,11),(6,11),(7,10),(8,11),(9,8),(10,9)],12)
[11,6,7,8,9,12,5,4,3,2,10,1]=>([(1,7),(2,11),(3,11),(4,11),(5,11),(6,10),(7,9),(8,10),(8,11),(9,8)],12)
[10,6,7,8,11,12,5,4,3,9,2,1]=>([(2,11),(3,11),(4,11),(5,10),(6,7),(7,9),(9,10),(9,11),(10,8)],12)
[9,6,7,10,11,12,5,4,8,3,2,1]=>([(3,11),(4,11),(5,10),(6,7),(7,10),(7,11),(8,9),(10,8)],12)
[8,6,9,10,11,12,5,7,4,3,2,1]=>([(4,10),(5,11),(6,10),(6,11),(7,9),(9,8),(11,7)],12)
[2,3,4,5,6,7,8,9,12,11,1,10]=>([(0,11),(1,9),(4,6),(5,4),(6,8),(7,5),(8,10),(9,7),(10,2),(10,3),(10,11)],12)
[12,11,10,8,6,4,2,1,3,5,7,9]=>([(3,8),(4,8),(5,10),(6,11),(7,9),(8,11),(10,9),(11,10)],12)
[12,10,9,8,6,4,2,1,3,5,7,11]=>([(1,8),(2,8),(3,11),(4,11),(5,11),(6,9),(7,10),(8,10),(9,11),(10,9)],12)
[12,9,11,8,6,4,2,1,3,5,10,7]=>([(1,8),(2,8),(3,11),(4,10),(5,9),(5,11),(6,7),(6,11),(8,10),(10,9),(10,11)],12)
[12,11,10,9,8,6,4,2,1,3,5,7]=>([(5,9),(6,9),(7,10),(8,11),(9,11),(11,10)],12)
[12,10,8,7,6,4,2,1,3,5,9,11]=>([(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,10),(10,11),(11,9)],12)
[12,11,10,8,7,6,4,2,1,3,5,9]=>([(3,10),(4,11),(5,11),(6,11),(7,9),(8,9),(9,10),(10,11)],12)
[12,10,7,9,6,4,2,1,3,8,5,11]=>([(1,11),(2,10),(3,9),(3,10),(4,8),(5,8),(6,7),(6,10),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[12,7,11,9,6,4,2,1,3,8,10,5]=>([(1,11),(2,9),(2,11),(3,8),(4,8),(5,6),(5,7),(5,11),(7,10),(8,9),(8,11),(11,10)],12)
[12,11,10,7,9,6,4,2,1,3,8,5]=>([(3,11),(4,10),(4,11),(5,9),(6,9),(7,8),(7,11),(9,10),(9,11)],12)
[12,10,9,8,7,6,4,2,1,3,5,11]=>([(1,10),(2,11),(3,11),(4,11),(5,11),(6,11),(7,9),(8,9),(9,10),(10,11)],12)
[12,9,11,8,7,6,4,2,1,3,10,5]=>([(1,11),(2,11),(3,11),(4,10),(4,11),(5,9),(6,9),(7,8),(7,11),(9,10),(9,11)],12)
[12,8,11,10,7,9,4,2,1,3,6,5]=>([(1,10),(1,11),(2,8),(3,8),(4,9),(5,6),(5,7),(5,9),(8,10),(8,11)],12)
[12,11,10,9,8,7,6,4,2,1,3,5]=>([(7,11),(8,10),(9,10),(10,11)],12)
[12,10,8,6,5,4,2,1,3,7,9,11]=>([(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,11),(9,10),(11,9)],12)
[12,11,10,8,6,5,4,2,1,3,7,9]=>([(3,11),(4,11),(5,11),(6,9),(7,9),(8,10),(9,11),(11,10)],12)
[12,10,9,8,6,5,4,2,1,3,7,11]=>([(1,11),(2,11),(3,11),(4,10),(5,10),(6,10),(7,9),(8,9),(9,11),(11,10)],12)
[12,9,11,8,6,5,4,2,1,3,10,7]=>([(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,9),(6,9),(7,8),(7,11),(9,10),(9,11)],12)
[12,11,10,9,8,6,5,4,2,1,3,7]=>([(5,11),(6,11),(7,11),(8,10),(9,10),(10,11)],12)
[12,10,8,5,7,4,2,1,6,3,9,11]=>([(1,11),(2,10),(3,9),(4,8),(4,10),(5,8),(5,10),(6,7),(6,10),(7,11),(8,11),(10,11),(11,9)],12)
[12,11,10,8,5,7,4,2,1,6,3,9]=>([(3,11),(4,10),(5,9),(5,10),(6,9),(6,10),(7,8),(7,10),(8,11),(9,11),(10,11)],12)
[12,10,5,9,7,4,2,1,6,8,3,11]=>([(1,11),(2,10),(3,8),(3,10),(4,8),(4,10),(5,6),(5,7),(5,10),(6,11),(7,9),(8,11),(9,11),(10,9)],12)
[12,5,11,9,7,4,2,1,6,8,10,3]=>([(1,11),(2,8),(2,11),(3,8),(3,11),(4,5),(4,6),(4,7),(4,11),(6,10),(7,9),(9,10),(11,9)],12)
[12,11,10,5,9,7,4,2,1,6,8,3]=>([(3,11),(4,9),(4,11),(5,9),(5,11),(6,7),(6,8),(6,11),(8,10),(11,10)],12)
[12,10,9,8,5,7,4,2,1,6,3,11]=>([(1,11),(2,11),(3,11),(4,10),(5,9),(5,10),(6,9),(6,10),(7,8),(7,10),(8,11),(9,11),(10,11)],12)
[12,9,11,8,5,7,4,2,1,6,10,3]=>([(1,11),(2,10),(3,9),(3,10),(4,9),(4,10),(5,7),(5,11),(6,8),(6,10),(8,11),(10,11)],12)
[12,11,5,10,8,7,4,2,1,9,6,3]=>([(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(7,11),(8,11)],12)
[12,11,10,9,8,5,7,4,2,1,6,3]=>([(5,11),(6,10),(6,11),(7,10),(7,11),(8,9),(8,11)],12)
[12,10,8,7,6,5,4,2,1,3,9,11]=>([(1,11),(2,11),(3,11),(4,11),(5,11),(6,9),(7,9),(8,10),(9,11),(11,10)],12)
[12,11,10,8,7,6,5,4,2,1,3,9]=>([(3,11),(4,11),(5,11),(6,11),(7,11),(8,10),(9,10),(10,11)],12)
[12,10,7,9,6,5,4,2,1,8,3,11]=>([(1,11),(2,11),(3,11),(4,10),(5,9),(5,11),(6,9),(6,11),(7,8),(7,11),(8,10),(9,10),(11,10)],12)
[12,7,11,9,6,5,4,2,1,8,10,3]=>([(1,11),(2,11),(3,11),(4,9),(4,11),(5,9),(5,11),(6,7),(6,8),(6,11),(8,10),(11,10)],12)
[12,11,10,7,9,6,5,4,2,1,8,3]=>([(3,11),(4,11),(5,11),(6,10),(6,11),(7,10),(7,11),(8,9),(8,11)],12)
[12,10,6,9,8,5,7,2,1,4,3,11]=>([(1,11),(2,10),(3,8),(3,9),(4,8),(4,9),(5,6),(5,7),(5,10),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[12,6,11,9,8,5,7,2,1,4,10,3]=>([(1,10),(2,8),(2,9),(3,8),(3,9),(4,5),(4,6),(4,7),(4,10),(6,11),(7,11),(9,11),(10,11)],12)
[12,6,11,8,10,5,7,2,1,9,4,3]=>([(1,10),(2,8),(2,9),(2,11),(3,8),(3,9),(3,11),(4,5),(4,6),(4,10),(6,7),(6,11),(10,11)],12)
[12,11,10,6,9,8,5,7,2,1,4,3]=>([(3,11),(4,9),(4,10),(5,9),(5,10),(6,7),(6,8),(6,11)],12)
[12,10,9,8,7,6,5,4,2,1,3,11]=>([(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,10),(9,10),(10,11)],12)
[12,9,11,8,7,6,5,4,2,1,10,3]=>([(1,11),(2,11),(3,11),(4,11),(5,11),(6,10),(6,11),(7,10),(7,11),(8,9),(8,11)],12)
[12,8,11,10,7,6,5,9,2,1,4,3]=>([(1,11),(2,11),(3,11),(4,9),(4,10),(5,9),(5,10),(6,7),(6,8),(6,11)],12)
[12,7,11,10,9,6,8,5,2,1,4,3]=>([(2,11),(3,9),(3,10),(4,9),(4,10),(5,6),(5,7),(5,8),(5,11)],12)
[12,11,10,9,8,7,6,5,4,2,1,3]=>([(9,11),(10,11)],12)
[12,10,8,6,4,3,2,1,5,7,9,11]=>([(1,8),(2,11),(3,11),(4,11),(5,11),(6,9),(7,10),(8,10),(10,9),(11,8)],12)
[12,11,10,8,6,4,3,2,1,5,7,9]=>([(3,10),(4,11),(5,11),(6,11),(7,11),(8,9),(9,10),(11,9)],12)
[12,10,9,8,6,4,3,2,1,5,7,11]=>([(1,11),(2,11),(3,11),(4,10),(5,10),(6,10),(7,10),(8,9),(9,11),(10,9)],12)
[12,9,11,8,6,4,3,2,1,5,10,7]=>([(1,11),(2,11),(3,11),(4,11),(5,10),(6,9),(6,10),(7,8),(7,10),(11,9),(11,10)],12)
[12,11,10,9,8,6,4,3,2,1,5,7]=>([(5,11),(6,11),(7,11),(8,11),(9,10),(11,10)],12)
[12,10,8,7,6,4,3,2,1,5,9,11]=>([(1,11),(2,11),(3,11),(4,10),(5,10),(6,10),(7,10),(8,9),(10,11),(11,9)],12)
[12,11,10,8,7,6,4,3,2,1,5,9]=>([(3,11),(4,11),(5,11),(6,10),(7,10),(8,10),(9,10),(10,11)],12)
[12,10,7,9,6,4,3,2,1,8,5,11]=>([(1,10),(2,11),(3,9),(3,11),(4,9),(4,11),(5,9),(5,11),(6,9),(6,11),(7,8),(7,11),(8,10),(9,10),(11,10)],12)
[12,7,11,9,6,4,3,2,1,8,10,5]=>([(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,7),(6,8),(6,11),(8,9),(11,9)],12)
[12,11,10,7,9,6,4,3,2,1,8,5]=>([(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,9),(8,11)],12)
[12,10,9,8,7,6,4,3,2,1,5,11]=>([(1,11),(2,11),(3,11),(4,11),(5,11),(6,10),(7,10),(8,10),(9,10),(10,11)],12)
[12,9,11,8,7,6,4,3,2,1,10,5]=>([(1,11),(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,9),(8,11)],12)
[12,8,11,10,7,9,4,3,2,1,6,5]=>([(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,9),(6,7),(6,8),(6,9)],12)
[12,11,10,9,8,7,6,4,3,2,1,5]=>([(7,11),(8,11),(9,11),(10,11)],12)
[12,10,8,6,3,5,2,4,1,7,9,11]=>([(1,10),(2,11),(3,11),(4,8),(5,9),(6,7),(6,8),(7,11),(8,11),(9,10),(11,9)],12)
[12,11,10,8,6,3,5,2,4,1,7,9]=>([(3,11),(4,11),(5,9),(6,10),(7,8),(7,9),(8,11),(9,11),(11,10)],12)
[12,10,9,8,6,3,5,2,4,1,7,11]=>([(1,11),(2,11),(3,10),(4,10),(5,10),(6,9),(7,8),(7,9),(8,11),(9,11),(11,10)],12)
[12,9,11,8,6,3,5,2,4,1,10,7]=>([(1,11),(2,10),(2,11),(3,10),(3,11),(4,9),(5,7),(5,11),(6,8),(6,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,11,10,9,8,6,3,5,2,4,1,7]=>([(5,11),(6,11),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[12,10,8,3,7,5,2,4,6,1,9,11]=>([(1,11),(2,11),(3,8),(4,9),(5,6),(5,7),(5,8),(6,10),(7,11),(8,10),(10,11),(11,9)],12)
[12,11,10,8,3,7,5,2,4,6,1,9]=>([(3,11),(4,11),(5,9),(6,7),(6,8),(6,9),(7,10),(8,11),(9,10),(10,11)],12)
[12,10,3,9,7,5,2,4,6,8,1,11]=>([(1,8),(2,11),(3,11),(4,5),(4,6),(4,7),(4,8),(5,10),(6,11),(7,9),(8,9),(9,10),(10,11)],12)
[12,3,11,9,7,5,2,4,6,8,10,1]=>([(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(5,9),(6,10),(7,11),(8,9),(9,11),(11,10)],12)
[12,11,10,3,9,7,5,2,4,6,8,1]=>([(4,9),(5,6),(5,7),(5,8),(5,9),(7,11),(8,10),(9,10),(10,11)],12)
[12,10,9,8,3,7,5,2,4,6,1,11]=>([(1,11),(2,11),(3,11),(4,11),(5,9),(6,7),(6,8),(6,9),(7,10),(8,11),(9,10),(10,11)],12)
[12,9,11,8,3,7,5,2,4,6,10,1]=>([(2,11),(3,9),(4,6),(4,11),(5,7),(5,8),(5,9),(7,10),(8,11),(9,10),(10,11)],12)
[12,11,3,10,8,7,5,2,4,9,6,1]=>([(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[12,11,10,9,8,3,7,5,2,4,6,1]=>([(6,10),(7,8),(7,9),(7,10),(9,11),(10,11)],12)
[12,10,8,7,6,3,5,2,4,1,9,11]=>([(1,11),(2,11),(3,11),(4,11),(5,9),(6,10),(7,8),(7,9),(8,11),(9,11),(11,10)],12)
[12,11,10,8,7,6,3,5,2,4,1,9]=>([(3,11),(4,11),(5,11),(6,11),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[12,10,7,9,6,3,5,2,4,8,1,11]=>([(1,11),(2,10),(3,10),(4,9),(5,8),(5,11),(6,7),(6,9),(7,11),(8,10),(9,11),(11,10)],12)
[12,7,11,9,6,3,5,2,4,8,10,1]=>([(2,11),(3,9),(4,8),(4,9),(5,6),(5,7),(5,11),(7,10),(8,11),(9,11),(11,10)],12)
[12,11,10,7,9,6,3,5,2,4,8,1]=>([(4,11),(5,10),(6,8),(6,11),(7,9),(7,10),(9,11),(10,11)],12)
[12,10,9,3,8,6,5,2,7,4,1,11]=>([(1,11),(2,11),(3,11),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(6,11),(7,10),(8,10),(9,11),(10,11)],12)
[12,9,11,3,8,6,5,2,7,4,10,1]=>([(2,9),(2,10),(3,5),(3,11),(4,6),(4,7),(4,8),(4,9),(6,11),(7,10),(8,10),(9,11),(10,11)],12)
[12,11,3,8,10,6,5,2,7,9,4,1]=>([(3,9),(3,11),(4,5),(4,6),(4,7),(4,9),(5,8),(5,10),(6,11),(7,11),(11,10)],12)
[12,11,10,9,3,8,6,5,2,7,4,1]=>([(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(8,11),(9,11)],12)
[12,10,9,8,7,6,3,5,2,4,1,11]=>([(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[12,9,11,8,7,6,3,5,2,4,10,1]=>([(2,11),(3,11),(4,11),(5,10),(6,8),(6,11),(7,9),(7,10),(9,11),(10,11)],12)
[12,8,11,10,7,6,3,5,2,9,4,1]=>([(2,11),(3,11),(4,10),(4,11),(5,9),(5,10),(6,7),(6,8),(6,11),(9,11)],12)
[12,11,10,3,9,7,6,8,2,5,4,1]=>([(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(7,11),(8,11)],12)
[12,11,10,9,8,7,6,3,5,2,4,1]=>([(8,11),(9,10),(9,11)],12)
[12,10,8,6,5,4,3,2,1,7,9,11]=>([(1,10),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,9),(9,10),(11,9)],12)
[12,11,10,8,6,5,4,3,2,1,7,9]=>([(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,10),(11,10)],12)
[12,10,9,8,6,5,4,3,2,1,7,11]=>([(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,10),(8,10),(9,10),(11,10)],12)
[12,9,11,8,6,5,4,3,2,1,10,7]=>([(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,9),(8,11)],12)
[12,11,10,9,8,6,5,4,3,2,1,7]=>([(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[12,10,8,5,7,4,3,2,6,1,9,11]=>([(1,11),(2,11),(3,10),(4,10),(5,10),(6,9),(7,8),(7,10),(8,11),(10,11),(11,9)],12)
[12,11,10,8,5,7,4,3,2,6,1,9]=>([(3,11),(4,11),(5,10),(6,10),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[12,10,5,9,7,4,3,2,6,8,1,11]=>([(1,11),(2,11),(3,10),(4,10),(5,10),(6,7),(6,8),(6,10),(7,11),(8,9),(9,11),(10,9)],12)
[12,5,11,9,7,4,3,2,6,8,10,1]=>([(2,11),(3,11),(4,11),(5,6),(5,7),(5,8),(5,11),(7,10),(8,9),(9,10),(11,9)],12)
[12,11,10,5,9,7,4,3,2,6,8,1]=>([(4,11),(5,11),(6,11),(7,8),(7,9),(7,11),(9,10),(11,10)],12)
[12,10,9,8,5,7,4,3,2,6,1,11]=>([(1,11),(2,11),(3,11),(4,11),(5,10),(6,10),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[12,9,11,8,5,7,4,3,2,6,10,1]=>([(2,11),(3,10),(4,10),(5,10),(6,8),(6,11),(7,9),(7,10),(9,11),(10,11)],12)
[12,11,5,10,8,7,4,3,2,9,6,1]=>([(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(8,11),(9,11)],12)
[12,11,10,9,8,5,7,4,3,2,6,1]=>([(6,11),(7,11),(8,11),(9,10),(9,11)],12)
[12,10,8,4,7,6,3,5,2,1,9,11]=>([(1,11),(2,11),(3,11),(4,9),(5,10),(6,7),(6,8),(6,9),(7,11),(8,11),(9,11),(11,10)],12)
[12,11,10,8,4,7,6,3,5,2,1,9]=>([(3,11),(4,11),(5,11),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[12,10,4,9,7,6,3,5,2,8,1,11]=>([(1,11),(2,10),(3,10),(4,9),(5,6),(5,7),(5,8),(5,9),(6,11),(7,11),(8,10),(9,11),(11,10)],12)
[12,4,11,9,7,6,3,5,2,8,10,1]=>([(2,11),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(6,10),(7,11),(8,11),(9,11),(11,10)],12)
[12,11,10,4,9,7,6,3,5,2,8,1]=>([(4,11),(5,10),(6,7),(6,8),(6,9),(6,10),(8,11),(9,11),(10,11)],12)
[12,10,4,9,6,8,3,5,7,2,1,11]=>([(1,11),(2,11),(3,11),(4,9),(5,6),(5,7),(5,9),(6,8),(6,10),(7,11),(8,11),(9,10),(10,11)],12)
[12,4,11,9,6,8,3,5,7,2,10,1]=>([(2,11),(3,9),(4,5),(4,6),(4,7),(4,9),(6,8),(6,10),(7,11),(8,11),(9,10),(10,11)],12)
[12,4,11,6,10,8,3,5,7,9,2,1]=>([(3,9),(4,5),(4,6),(4,9),(6,7),(6,8),(6,11),(8,10),(9,11),(11,10)],12)
[12,11,10,4,9,6,8,3,5,7,2,1]=>([(5,10),(6,7),(6,8),(6,10),(8,9),(8,11),(10,11)],12)
[12,10,9,8,4,7,6,3,5,2,1,11]=>([(1,11),(2,11),(3,11),(4,11),(5,11),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[12,9,11,8,4,7,6,3,5,2,10,1]=>([(2,11),(3,11),(4,10),(5,7),(5,11),(6,8),(6,9),(6,10),(8,11),(9,11),(10,11)],12)
[12,8,11,10,4,7,6,3,5,9,2,1]=>([(3,10),(4,6),(4,7),(4,11),(5,8),(5,9),(5,10),(8,11),(9,11),(10,11)],12)
[12,11,4,10,7,9,6,3,8,5,2,1]=>([(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(7,11),(8,9),(8,11)],12)
[12,11,10,9,8,4,7,6,3,5,2,1]=>([(7,11),(8,9),(8,10),(8,11)],12)
[12,10,8,7,6,5,4,3,2,1,9,11]=>([(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,10),(11,10)],12)
[12,11,10,8,7,6,5,4,3,2,1,9]=>([(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[12,10,7,9,6,5,4,3,2,8,1,11]=>([(1,11),(2,11),(3,11),(4,11),(5,11),(6,10),(7,10),(8,9),(8,11),(9,10),(11,10)],12)
[12,7,11,9,6,5,4,3,2,8,10,1]=>([(2,11),(3,11),(4,11),(5,11),(6,11),(7,8),(7,9),(7,11),(9,10),(11,10)],12)
[12,11,10,7,9,6,5,4,3,2,8,1]=>([(4,11),(5,11),(6,11),(7,11),(8,11),(9,10),(9,11)],12)
[12,10,6,9,8,5,4,3,7,2,1,11]=>([(1,11),(2,11),(3,11),(4,10),(5,10),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[12,6,11,9,8,5,4,3,7,2,10,1]=>([(2,11),(3,10),(4,10),(5,10),(6,7),(6,8),(6,9),(6,10),(8,11),(9,11),(10,11)],12)
[12,6,11,8,10,5,4,3,7,9,2,1]=>([(3,11),(4,11),(5,11),(6,7),(6,8),(6,11),(8,9),(8,10),(11,10)],12)
[12,11,10,6,9,8,5,4,3,7,2,1]=>([(5,11),(6,11),(7,11),(8,9),(8,10),(8,11)],12)
[12,10,5,9,8,7,4,6,3,2,1,11]=>([(1,11),(2,11),(3,11),(4,11),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[12,5,11,9,8,7,4,6,3,2,10,1]=>([(2,11),(3,11),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(7,11),(8,11),(9,11),(10,11)],12)
[12,5,11,8,10,7,4,6,3,9,2,1]=>([(3,11),(4,10),(5,6),(5,7),(5,8),(5,10),(7,11),(8,9),(8,11),(10,11)],12)
[12,5,11,7,10,9,4,6,8,3,2,1]=>([(4,10),(5,6),(5,7),(5,10),(7,8),(7,9),(7,11),(10,11)],12)
[12,11,10,5,9,8,7,4,6,3,2,1]=>([(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[12,9,11,8,7,6,5,4,3,2,10,1]=>([(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,10),(9,11)],12)
[12,8,11,10,7,6,5,4,3,9,2,1]=>([(3,11),(4,11),(5,11),(6,11),(7,11),(8,9),(8,10),(8,11)],12)
[12,7,11,10,9,6,5,4,8,3,2,1]=>([(4,11),(5,11),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[12,6,11,10,9,8,5,7,4,3,2,1]=>([(5,11),(6,7),(6,8),(6,9),(6,10),(6,11)],12)
[8,9,10,11,7,1,2,3,4,5,12,6]=>([(0,11),(1,9),(2,10),(4,11),(5,8),(6,5),(7,4),(8,3),(8,11),(9,6),(10,7)],12)
[2,9,10,11,12,8,1,3,4,5,6,7]=>([(0,11),(1,4),(1,9),(1,11),(5,7),(6,8),(7,2),(8,3),(9,5),(10,6),(11,10)],12)
[11,12,2,4,6,8,10,1,3,5,7,9]=>([(0,11),(1,7),(1,11),(2,4),(5,6),(5,10),(6,3),(6,9),(7,5),(7,8),(8,10),(10,9),(11,8)],12)
[9,10,2,4,6,8,12,1,3,5,7,11]=>([(0,10),(1,6),(1,10),(2,4),(3,8),(3,11),(4,8),(4,11),(5,3),(5,9),(6,5),(6,7),(7,9),(9,11),(10,7)],12)
[11,9,12,2,4,6,8,10,1,3,5,7]=>([(0,11),(1,9),(2,6),(2,11),(3,7),(3,9),(4,5),(4,8),(5,7),(6,4),(6,10),(10,8),(11,10)],12)
[10,11,12,9,2,4,6,8,1,3,5,7]=>([(1,11),(2,7),(3,8),(3,11),(6,4),(6,10),(7,5),(8,6),(8,9),(9,10),(11,9)],12)
[7,8,2,4,6,10,12,1,3,5,9,11]=>([(0,9),(1,5),(2,6),(2,9),(4,10),(4,11),(5,10),(5,11),(6,4),(6,7),(7,11),(9,7),(10,3),(10,8),(11,8)],12)
[7,8,11,12,2,4,6,10,1,3,5,9]=>([(0,10),(1,7),(2,6),(2,10),(4,8),(4,11),(5,3),(6,4),(6,9),(7,5),(7,8),(7,11),(9,11),(10,9)],12)
[9,7,10,2,4,6,8,12,1,3,5,11]=>([(0,10),(1,9),(2,5),(2,10),(3,8),(3,9),(4,8),(5,4),(5,7),(7,11),(8,6),(8,11),(9,6),(9,11),(10,7)],12)
[9,11,7,12,2,4,6,8,10,1,3,5]=>([(0,11),(1,6),(1,11),(2,5),(2,9),(3,8),(3,10),(4,10),(5,8),(6,4),(6,7),(10,9),(11,7)],12)
[7,10,11,12,9,2,4,6,8,1,3,5]=>([(0,11),(1,8),(1,11),(2,4),(2,7),(2,10),(5,10),(6,3),(7,6),(8,5),(8,9),(11,9)],12)
[8,9,10,7,2,4,6,12,1,3,5,11]=>([(0,10),(0,11),(1,8),(2,4),(3,5),(3,8),(4,6),(5,7),(5,9),(6,10),(6,11),(7,10),(7,11),(8,9),(9,11)],12)
[11,8,9,7,12,2,4,6,10,1,3,5]=>([(0,10),(1,10),(1,11),(2,8),(3,6),(4,5),(4,8),(5,7),(5,9),(6,10),(6,11),(7,11),(8,9)],12)
[10,11,8,12,7,9,2,4,6,1,3,5]=>([(0,8),(1,9),(2,8),(2,10),(3,5),(4,6),(4,9),(5,10),(6,7),(6,11),(9,11)],12)
[9,10,11,12,8,7,2,4,6,1,3,5]=>([(2,6),(3,10),(4,5),(4,10),(5,8),(5,11),(6,9),(9,7),(10,11)],12)
[5,6,2,4,8,10,12,1,3,7,9,11]=>([(0,10),(1,4),(2,5),(2,10),(4,7),(4,11),(5,7),(5,11),(6,3),(6,8),(7,6),(7,9),(9,8),(10,11),(11,9)],12)
[5,6,11,12,2,4,8,10,1,3,7,9]=>([(0,9),(1,7),(2,5),(2,9),(5,10),(5,11),(6,4),(7,6),(7,10),(7,11),(9,11),(10,3),(10,8),(11,8)],12)
[5,6,9,10,2,4,8,12,1,3,7,11]=>([(0,9),(1,6),(2,4),(2,9),(3,8),(3,11),(4,7),(4,10),(5,3),(6,5),(6,7),(6,10),(7,8),(7,11),(9,10),(10,11)],12)
[11,5,6,9,12,2,4,8,10,1,3,7]=>([(0,7),(1,9),(2,5),(3,4),(3,9),(4,10),(4,11),(5,6),(5,10),(5,11),(6,7),(6,8),(9,11),(10,8)],12)
[10,11,12,5,6,9,2,4,8,1,3,7]=>([(0,10),(1,8),(2,6),(2,10),(3,7),(6,9),(6,11),(7,5),(8,4),(8,9),(8,11),(10,11)],12)
[7,5,8,2,4,6,10,12,1,3,9,11]=>([(0,10),(1,7),(2,5),(2,7),(3,8),(3,10),(5,8),(7,11),(8,9),(8,11),(9,4),(9,6),(10,9),(10,11),(11,6)],12)
[7,5,8,11,12,2,4,6,10,1,3,9]=>([(0,9),(1,9),(1,10),(2,8),(3,4),(3,8),(4,10),(5,6),(8,11),(9,5),(9,7),(9,11),(10,7),(10,11)],12)
[7,9,5,10,2,4,6,8,12,1,3,11]=>([(0,7),(1,5),(1,10),(2,4),(2,7),(3,8),(3,9),(4,8),(5,9),(7,11),(8,10),(9,6),(9,11),(10,6),(10,11)],12)
[7,9,11,5,12,2,4,6,8,10,1,3]=>([(0,9),(1,5),(1,11),(2,6),(2,9),(3,7),(3,10),(4,7),(5,4),(5,8),(6,10),(10,11),(11,8)],12)
[10,7,11,12,5,9,2,4,6,8,1,3]=>([(0,10),(1,8),(2,7),(2,11),(3,7),(3,9),(3,10),(4,6),(4,8),(6,11),(10,5),(11,9)],12)
[5,8,9,10,7,2,4,6,12,1,3,11]=>([(0,9),(1,5),(1,9),(2,4),(2,7),(2,8),(3,10),(3,11),(4,10),(4,11),(5,8),(6,3),(7,6),(8,10),(8,11),(9,11)],12)
[11,5,8,9,7,12,2,4,6,10,1,3]=>([(0,10),(1,8),(2,4),(2,8),(3,5),(3,6),(3,9),(4,9),(5,7),(6,10),(6,11),(7,10),(7,11),(9,11)],12)
[8,10,5,11,12,7,9,2,4,6,1,3]=>([(0,8),(1,7),(1,8),(2,4),(2,10),(3,6),(3,9),(3,11),(4,11),(6,10),(7,9),(11,5)],12)
[9,10,11,12,5,8,7,2,4,6,1,3]=>([(0,11),(1,9),(2,7),(2,11),(3,5),(3,6),(3,10),(7,10),(8,4),(9,8)],12)
[6,7,8,5,2,4,10,12,1,3,9,11]=>([(0,10),(0,11),(1,8),(2,4),(3,5),(3,8),(4,7),(5,10),(5,11),(7,10),(7,11),(8,11),(10,6),(10,9),(11,9)],12)
[6,7,8,5,11,12,2,4,10,1,3,9]=>([(0,9),(0,10),(0,11),(1,8),(2,5),(3,6),(3,8),(5,7),(6,10),(6,11),(7,9),(7,10),(7,11),(8,11),(9,4)],12)
[9,6,7,5,10,2,4,8,12,1,3,11]=>([(0,10),(1,10),(1,11),(2,8),(3,6),(4,5),(4,8),(5,11),(6,10),(6,11),(8,9),(10,7),(10,9),(11,7),(11,9)],12)
[9,6,7,11,5,12,2,4,8,10,1,3]=>([(0,7),(1,9),(1,10),(2,8),(2,11),(3,6),(4,5),(4,7),(5,11),(6,10),(6,11),(10,8),(11,9)],12)
[6,10,7,11,12,5,9,2,4,8,1,3]=>([(0,9),(0,11),(1,8),(2,6),(2,8),(3,4),(3,7),(4,10),(6,11),(7,9),(7,10),(7,11),(10,5)],12)
[8,9,6,10,5,7,2,4,12,1,3,11]=>([(0,7),(1,8),(2,8),(2,9),(3,5),(4,6),(4,7),(5,9),(6,10),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[8,9,11,6,5,7,12,2,4,10,1,3]=>([(0,8),(1,9),(2,9),(3,6),(4,5),(4,8),(5,11),(6,7),(6,11),(7,10),(9,10),(9,11)],12)
[10,8,11,6,12,5,7,9,2,4,1,3]=>([(0,8),(1,7),(2,9),(3,7),(3,11),(4,8),(4,10),(5,6),(5,9),(7,10),(8,11)],12)
[9,6,10,11,12,8,5,7,2,4,1,3]=>([(0,11),(1,9),(2,10),(3,5),(3,9),(4,6),(4,10),(4,11),(7,8),(11,7)],12)
[7,8,9,10,6,5,2,4,12,1,3,11]=>([(0,10),(0,11),(1,10),(1,11),(2,9),(3,5),(4,6),(4,9),(5,7),(6,10),(6,11),(7,8),(8,10),(8,11),(9,11)],12)
[11,7,8,9,6,5,12,2,4,10,1,3]=>([(0,10),(1,10),(1,11),(2,10),(2,11),(3,9),(4,7),(5,6),(5,9),(6,11),(7,8),(8,10),(8,11)],12)
[10,11,7,8,6,12,5,9,2,4,1,3]=>([(0,10),(1,10),(1,11),(2,9),(3,7),(4,8),(5,6),(5,9),(7,11),(8,10),(8,11)],12)
[9,10,11,7,12,6,8,5,2,4,1,3]=>([(1,9),(2,10),(3,10),(3,11),(4,7),(5,6),(5,9),(7,8),(8,11)],12)
[8,9,10,11,12,7,6,5,2,4,1,3]=>([(3,7),(4,11),(5,6),(5,11),(7,10),(9,8),(10,9)],12)
[3,4,2,6,8,10,12,1,5,7,9,11]=>([(0,11),(1,10),(1,11),(2,4),(4,10),(4,11),(5,6),(5,9),(6,3),(6,8),(7,9),(9,8),(10,5),(10,7),(11,7)],12)
[3,4,11,12,2,6,8,10,1,5,7,9]=>([(0,11),(1,10),(1,11),(2,7),(5,3),(6,4),(6,9),(7,5),(7,10),(7,11),(8,9),(10,6),(10,8),(11,8)],12)
[3,4,9,10,2,6,8,12,1,5,7,11]=>([(0,11),(1,9),(1,11),(2,6),(3,7),(3,10),(4,7),(4,10),(5,4),(6,5),(6,9),(6,11),(8,10),(9,3),(9,8),(11,8)],12)
[11,3,4,9,12,2,6,8,10,1,5,7]=>([(0,11),(1,10),(1,11),(2,7),(3,5),(4,9),(5,6),(5,10),(5,11),(6,7),(6,9),(10,4),(10,8),(11,8)],12)
[10,11,12,3,4,9,2,6,8,1,5,7]=>([(0,11),(1,10),(1,11),(2,8),(3,7),(7,6),(8,4),(8,10),(8,11),(10,5),(10,9),(11,9)],12)
[3,4,7,8,2,6,10,12,1,5,9,11]=>([(0,11),(1,8),(1,11),(2,6),(4,9),(4,10),(5,4),(6,5),(6,8),(6,11),(8,9),(8,10),(9,3),(9,7),(10,7),(11,10)],12)
[3,4,7,8,11,12,2,6,10,1,5,9]=>([(0,11),(1,9),(1,11),(2,6),(4,7),(5,3),(6,4),(6,9),(6,11),(7,5),(7,8),(7,10),(9,8),(9,10),(11,10)],12)
[9,3,4,7,10,2,6,8,12,1,5,11]=>([(0,11),(1,9),(1,11),(2,6),(3,4),(4,5),(4,9),(4,11),(5,6),(5,7),(6,8),(6,10),(7,8),(7,10),(9,7),(11,10)],12)
[9,11,3,4,7,12,2,6,8,10,1,5]=>([(0,11),(1,10),(1,11),(2,5),(3,4),(3,8),(4,9),(5,6),(5,10),(5,11),(6,7),(6,9),(7,8),(10,7)],12)
[3,10,11,12,4,7,9,2,6,8,1,5]=>([(0,11),(1,10),(1,11),(2,6),(2,7),(5,3),(6,5),(7,8),(7,10),(7,11),(8,4),(8,9),(10,9)],12)
[8,9,10,3,4,7,2,6,12,1,5,11]=>([(0,10),(1,8),(1,10),(2,4),(3,5),(4,6),(5,7),(5,8),(5,10),(6,9),(6,11),(7,9),(7,11),(8,9),(8,11),(10,11)],12)
[11,8,9,3,4,7,12,2,6,10,1,5]=>([(0,9),(1,10),(2,8),(2,9),(3,5),(4,6),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,11)],12)
[10,11,8,12,3,4,7,9,2,6,1,5]=>([(0,11),(1,8),(1,9),(2,10),(2,11),(3,5),(4,6),(5,9),(6,7),(6,10),(6,11),(7,8)],12)
[9,10,11,12,8,3,4,7,2,6,1,5]=>([(1,6),(2,5),(3,11),(4,10),(4,11),(5,9),(6,7),(6,10),(6,11),(9,8)],12)
[5,3,6,2,4,8,10,12,1,7,9,11]=>([(0,11),(1,10),(2,9),(3,9),(3,10),(5,4),(5,6),(7,5),(7,8),(8,6),(9,7),(9,11),(10,7),(10,11),(11,8)],12)
[5,3,6,11,12,2,4,8,10,1,7,9]=>([(0,9),(1,11),(2,7),(3,7),(3,9),(5,6),(7,10),(7,11),(9,5),(9,10),(9,11),(10,4),(10,8),(11,8)],12)
[5,3,6,9,10,2,4,8,12,1,7,11]=>([(0,6),(1,9),(2,6),(2,9),(3,10),(4,5),(5,7),(5,11),(6,8),(6,10),(8,7),(8,11),(9,4),(9,8),(9,10),(10,11)],12)
[5,11,3,6,9,12,2,4,8,10,1,7]=>([(0,11),(1,9),(2,4),(2,10),(3,9),(3,10),(4,7),(5,6),(5,7),(8,6),(9,8),(9,11),(10,5),(10,8),(10,11)],12)
[5,10,11,12,3,6,9,2,4,8,1,7]=>([(0,11),(1,8),(2,8),(2,10),(3,5),(3,10),(5,6),(6,7),(8,9),(8,11),(10,4),(10,9),(10,11)],12)
[5,7,3,8,2,4,6,10,12,1,9,11]=>([(0,11),(1,9),(2,5),(2,10),(3,7),(3,9),(5,7),(7,8),(7,11),(8,4),(8,6),(9,10),(10,8),(10,11),(11,6)],12)
[5,7,3,8,11,12,2,4,6,10,1,9]=>([(0,7),(1,7),(1,10),(2,11),(3,4),(3,9),(4,10),(5,6),(7,9),(9,8),(9,11),(10,5),(10,8),(10,11)],12)
[5,7,9,3,10,2,4,6,8,12,1,11]=>([(0,11),(1,10),(2,5),(2,9),(3,8),(3,10),(4,8),(5,4),(5,7),(7,6),(7,11),(8,6),(8,11),(9,7),(10,9)],12)
[5,7,9,11,3,12,2,4,6,8,10,1]=>([(1,11),(2,6),(2,10),(3,7),(3,11),(4,5),(4,8),(5,7),(6,4),(6,9),(9,8),(10,9),(11,10)],12)
[10,5,7,11,12,3,9,2,4,6,8,1]=>([(1,11),(2,7),(3,7),(3,10),(4,6),(4,8),(6,9),(6,10),(6,11),(7,8),(8,9),(11,5)],12)
[8,5,9,10,3,7,2,4,6,12,1,11]=>([(0,9),(1,11),(2,6),(3,7),(3,8),(3,9),(4,6),(4,7),(5,10),(5,11),(6,8),(7,10),(7,11),(8,10),(8,11),(9,5)],12)
[8,11,5,9,3,7,12,2,4,6,10,1]=>([(1,6),(2,6),(2,7),(3,7),(3,8),(3,9),(4,5),(4,8),(5,11),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10)],12)
[8,10,11,5,12,3,7,9,2,4,6,1]=>([(1,8),(2,7),(2,8),(3,7),(3,9),(3,10),(4,5),(4,11),(5,6),(6,9),(7,11),(8,10)],12)
[5,9,10,11,12,8,3,7,2,4,6,1]=>([(1,11),(2,10),(2,11),(3,5),(3,8),(3,9),(3,10),(6,7),(7,4),(8,6),(11,9)],12)
[3,6,7,8,5,2,4,10,12,1,9,11]=>([(0,9),(1,11),(2,4),(2,7),(2,9),(3,10),(3,11),(4,10),(4,11),(6,3),(7,6),(9,10),(9,11),(10,5),(10,8),(11,8)],12)
[3,6,7,8,5,11,12,2,4,10,1,9]=>([(0,11),(1,8),(2,5),(2,7),(2,8),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,4),(7,6),(8,10),(8,11),(9,3)],12)
[9,3,6,7,5,10,2,4,8,12,1,11]=>([(0,9),(1,10),(2,7),(3,4),(3,5),(3,7),(4,6),(5,10),(5,11),(6,10),(6,11),(7,11),(10,8),(10,9),(11,8),(11,9)],12)
[9,3,6,7,11,5,12,2,4,8,10,1]=>([(1,8),(2,7),(2,9),(3,4),(3,5),(3,8),(4,6),(5,10),(5,11),(6,7),(6,11),(7,10),(8,11),(11,9)],12)
[6,10,3,7,11,12,5,9,2,4,8,1]=>([(1,7),(2,5),(2,8),(3,6),(3,7),(3,8),(5,10),(6,9),(6,11),(7,11),(8,9),(8,10),(8,11),(10,4)],12)
[6,8,3,9,10,5,7,2,4,12,1,11]=>([(0,7),(1,11),(2,6),(2,7),(2,9),(3,4),(3,8),(4,9),(5,10),(5,11),(6,8),(7,10),(7,11),(8,10),(8,11),(9,5)],12)
[6,8,9,3,11,5,7,12,2,4,10,1]=>([(1,8),(2,5),(2,10),(3,4),(3,7),(3,8),(4,10),(5,6),(6,7),(6,11),(7,9),(8,11),(10,9),(10,11)],12)
[10,6,8,3,11,12,5,7,9,2,4,1]=>([(1,8),(2,11),(3,7),(3,8),(3,11),(4,5),(4,9),(5,10),(5,11),(7,9),(9,10),(11,6)],12)
[9,6,10,11,12,3,8,5,7,2,4,1]=>([(1,10),(2,9),(3,8),(3,10),(3,11),(4,5),(4,8),(4,9),(5,11),(6,7),(10,6)],12)
[7,8,9,10,3,6,5,2,4,12,1,11]=>([(0,11),(1,9),(2,8),(3,5),(3,6),(3,9),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,4),(8,7),(9,10),(9,11)],12)
[11,7,8,9,3,6,5,12,2,4,10,1]=>([(1,10),(2,9),(3,5),(4,6),(4,7),(4,9),(5,8),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,11)],12)
[10,11,7,8,3,6,12,5,9,2,4,1]=>([(1,9),(2,8),(3,6),(4,5),(4,7),(4,9),(5,10),(6,11),(7,10),(7,11),(8,10),(8,11)],12)
[9,10,11,7,12,3,6,8,5,2,4,1]=>([(1,9),(2,10),(2,11),(3,7),(4,5),(4,6),(4,9),(6,11),(7,8),(8,10)],12)
[8,9,10,11,12,7,3,6,5,2,4,1]=>([(2,11),(3,10),(4,6),(4,7),(4,11),(8,9),(9,5),(10,8)],12)
[4,5,6,3,2,8,10,12,1,7,9,11]=>([(0,11),(1,10),(1,11),(2,10),(2,11),(3,4),(4,7),(5,6),(5,9),(7,10),(7,11),(8,9),(10,5),(10,8),(11,8)],12)
[4,5,6,3,11,12,2,8,10,1,7,9]=>([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,5),(5,7),(7,9),(7,10),(7,11),(9,4),(10,6),(10,8),(11,8)],12)
[4,5,6,3,9,10,2,8,12,1,7,11]=>([(0,11),(1,9),(1,11),(2,7),(2,9),(2,11),(3,4),(4,6),(5,8),(5,10),(6,7),(6,9),(6,11),(7,5),(9,8),(9,10),(11,10)],12)
[4,5,6,11,3,9,12,2,8,10,1,7]=>([(0,4),(1,11),(2,10),(2,11),(3,8),(3,10),(3,11),(4,6),(5,9),(6,5),(6,8),(6,10),(6,11),(8,7),(8,9),(10,7)],12)
[4,5,6,10,11,12,3,9,2,8,1,7]=>([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,7),(5,6),(6,4),(7,8),(8,5),(8,9),(8,10),(8,11)],12)
[7,4,5,3,8,2,6,10,12,1,9,11]=>([(0,9),(1,11),(2,10),(3,10),(3,11),(4,6),(6,10),(6,11),(8,5),(8,7),(9,7),(10,8),(10,9),(11,8),(11,9)],12)
[7,4,5,3,8,11,12,2,6,10,1,9]=>([(0,11),(1,9),(2,10),(3,10),(3,11),(4,6),(5,7),(6,10),(6,11),(10,8),(10,9),(11,5),(11,8),(11,9)],12)
[7,4,5,9,3,10,2,6,8,12,1,11]=>([(0,11),(1,10),(2,7),(2,11),(3,6),(3,9),(4,5),(5,9),(5,11),(6,8),(6,10),(7,8),(7,10),(9,7),(11,6)],12)
[7,4,5,9,11,3,12,2,6,8,10,1]=>([(1,11),(2,9),(2,11),(3,7),(3,10),(4,6),(5,9),(6,10),(6,11),(7,8),(10,5),(10,8),(11,7)],12)
[7,10,4,5,11,12,3,9,2,6,8,1]=>([(1,11),(2,10),(2,11),(3,7),(4,5),(4,8),(4,10),(5,9),(7,9),(7,10),(7,11),(9,6),(11,8)],12)
[4,8,5,9,10,3,7,2,6,12,1,11]=>([(0,11),(1,9),(2,7),(2,9),(3,4),(3,6),(4,8),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,5),(9,10),(9,11)],12)
[4,8,11,5,9,3,7,12,2,6,10,1]=>([(1,11),(2,7),(2,11),(3,4),(3,5),(4,6),(4,8),(5,7),(5,8),(5,11),(6,10),(7,9),(7,10),(8,9),(8,10),(11,9)],12)
[4,8,10,11,5,12,3,7,9,2,6,1]=>([(1,11),(2,9),(2,11),(3,4),(3,5),(4,6),(4,10),(5,8),(5,9),(5,11),(6,7),(7,8),(9,10)],12)
[4,5,9,10,11,12,8,3,7,2,6,1]=>([(1,11),(2,10),(2,11),(3,9),(6,8),(7,6),(8,4),(9,5),(9,7),(9,10),(9,11)],12)
[6,7,4,8,3,5,2,10,12,1,9,11]=>([(0,11),(1,10),(1,11),(2,7),(3,7),(3,9),(4,5),(5,9),(7,10),(7,11),(9,10),(9,11),(10,6),(10,8),(11,8)],12)
[6,7,4,8,3,5,11,12,2,10,1,9]=>([(0,11),(1,10),(1,11),(2,7),(3,7),(3,9),(4,6),(6,9),(7,8),(7,10),(7,11),(8,5),(9,8),(9,10),(9,11)],12)
[6,7,9,4,3,5,10,2,8,12,1,11]=>([(0,7),(1,7),(2,11),(3,10),(4,5),(5,6),(5,11),(6,9),(7,9),(7,11),(9,8),(9,10),(11,8),(11,10)],12)
[6,7,9,4,11,3,5,12,2,8,10,1]=>([(1,11),(2,8),(3,7),(3,8),(4,5),(5,6),(5,11),(6,7),(6,9),(7,10),(8,10),(8,11),(11,9)],12)
[10,6,7,4,11,12,3,5,9,2,8,1]=>([(1,11),(2,10),(3,8),(4,8),(4,11),(5,7),(7,9),(7,10),(7,11),(8,9),(8,10),(11,6)],12)
[8,6,9,4,10,3,5,7,2,12,1,11]=>([(0,11),(1,10),(1,11),(2,7),(3,6),(4,6),(4,9),(5,7),(5,8),(6,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[8,6,9,11,4,3,5,7,12,2,10,1]=>([(1,9),(2,8),(2,9),(3,11),(4,7),(5,7),(6,10),(7,8),(8,10),(8,11),(9,6),(9,11)],12)
[8,10,6,11,4,12,3,5,7,9,2,1]=>([(2,9),(2,11),(3,7),(4,7),(4,8),(5,6),(5,10),(6,11),(7,9),(9,10),(11,8)],12)
[6,9,4,10,11,12,8,3,5,7,2,1]=>([(2,8),(3,8),(3,9),(3,11),(4,5),(4,9),(4,10),(5,11),(6,7),(8,10),(11,6)],12)
[7,4,8,9,10,6,3,5,2,12,1,11]=>([(0,9),(1,11),(2,10),(2,11),(3,8),(4,6),(4,8),(4,9),(5,7),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,5)],12)
[7,11,4,8,9,6,3,5,12,2,10,1]=>([(1,10),(2,8),(3,5),(3,9),(4,6),(4,8),(4,9),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,7)],12)
[7,8,10,4,11,6,12,3,5,9,2,1]=>([(2,9),(3,6),(4,5),(4,8),(4,9),(5,10),(5,11),(6,7),(6,11),(7,8),(8,10),(9,11)],12)
[9,7,10,4,11,12,6,8,3,5,2,1]=>([(2,8),(3,9),(4,8),(4,11),(5,7),(5,9),(5,10),(7,11),(8,10),(10,6)],12)
[4,8,9,10,11,12,7,6,3,5,2,1]=>([(2,11),(3,5),(3,6),(3,10),(3,11),(7,9),(8,7),(9,4),(10,8)],12)
[5,6,7,8,4,3,2,10,12,1,9,11]=>([(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,5),(5,7),(7,8),(8,10),(8,11),(10,6),(10,9),(11,9)],12)
[5,6,7,8,4,3,11,12,2,10,1,9]=>([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,5),(5,7),(7,8),(8,9),(8,10),(8,11),(9,6)],12)
[9,5,6,7,4,3,10,2,8,12,1,11]=>([(0,11),(1,10),(2,10),(2,11),(3,10),(3,11),(4,9),(5,6),(6,7),(7,10),(7,11),(10,8),(10,9),(11,8),(11,9)],12)
[9,5,6,7,4,11,3,12,2,8,10,1]=>([(1,11),(2,10),(2,11),(3,9),(3,11),(4,8),(4,10),(5,6),(6,7),(7,10),(7,11),(10,9),(11,8)],12)
[5,10,6,7,4,11,12,3,9,2,8,1]=>([(1,11),(2,9),(2,11),(3,9),(3,10),(3,11),(4,5),(4,7),(5,10),(7,8),(8,9),(8,10),(8,11),(10,6)],12)
[8,9,5,6,4,10,3,7,2,12,1,11]=>([(0,9),(1,9),(1,10),(2,11),(3,8),(3,11),(4,6),(5,7),(6,10),(7,9),(7,10),(9,8),(9,11),(10,8),(10,11)],12)
[8,9,5,6,11,4,3,7,12,2,10,1]=>([(1,11),(2,11),(3,10),(4,6),(5,7),(6,9),(6,11),(7,9),(7,10),(9,8),(11,8),(11,10)],12)
[10,8,5,6,11,4,12,3,7,9,2,1]=>([(2,11),(3,10),(4,9),(4,10),(5,8),(5,11),(6,7),(7,10),(7,11),(10,8),(11,9)],12)
[9,5,10,6,11,12,4,8,3,7,2,1]=>([(2,8),(3,11),(4,9),(4,11),(5,7),(5,8),(7,9),(7,10),(7,11),(8,10),(10,6)],12)
[7,8,9,5,10,4,6,3,2,12,1,11]=>([(0,11),(1,10),(1,11),(2,10),(2,11),(3,8),(4,8),(4,9),(5,6),(6,7),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[7,8,9,11,5,4,6,3,12,2,10,1]=>([(1,6),(2,11),(3,10),(3,11),(4,9),(5,9),(6,8),(7,10),(8,7),(8,11),(9,10),(9,11)],12)
[10,7,8,11,5,4,6,12,3,9,2,1]=>([(2,10),(3,11),(4,8),(5,8),(6,7),(7,10),(7,11),(8,9),(8,11),(10,9)],12)
[9,10,7,11,5,12,4,6,8,3,2,1]=>([(3,10),(3,11),(4,8),(5,8),(5,9),(6,7),(7,11),(8,10),(11,9)],12)
[8,9,5,10,11,12,7,4,6,3,2,1]=>([(3,10),(4,7),(5,6),(5,10),(5,11),(7,11),(8,9),(11,8)],12)
[6,7,8,9,10,5,4,3,2,12,1,11]=>([(0,6),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(7,10),(7,11),(8,7),(9,8)],12)
[11,6,7,8,9,5,4,3,12,2,10,1]=>([(1,7),(2,11),(3,10),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(8,10),(8,11),(9,8)],12)
[10,11,6,7,8,5,4,12,3,9,2,1]=>([(2,10),(3,10),(3,11),(4,10),(4,11),(5,7),(6,8),(7,11),(8,9),(9,10),(9,11)],12)
[9,10,11,6,7,5,12,4,8,3,2,1]=>([(3,10),(4,10),(4,11),(5,7),(6,8),(7,9),(8,10),(8,11),(9,11)],12)
[8,9,10,11,6,12,5,7,4,3,2,1]=>([(4,7),(5,10),(6,10),(6,11),(7,9),(8,11),(9,8)],12)
[6,5,2,1,4,3,12,11,8,7,10,9]=>([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(3,6),(3,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(10,4),(10,5),(11,4),(11,5)],12)
[2,1,4,3,6,5,8,7,9,11,12,10]=>([(0,10),(0,11),(1,10),(1,11),(3,4),(5,2),(5,3),(6,5),(7,5),(8,6),(8,7),(9,6),(9,7),(10,8),(10,9),(11,8),(11,9)],12)
[2,1,4,3,6,5,7,9,10,8,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,4),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3),(8,5),(9,5),(10,8),(10,9),(11,8),(11,9)],12)
[2,1,4,3,6,5,7,9,8,11,12,10]=>([(0,10),(0,11),(1,10),(1,11),(3,6),(3,7),(4,6),(4,7),(5,3),(5,4),(7,2),(8,5),(9,5),(10,8),(10,9),(11,8),(11,9)],12)
[2,1,4,3,6,5,7,8,10,11,12,9]=>([(0,10),(0,11),(1,10),(1,11),(4,5),(5,3),(6,2),(6,4),(7,9),(8,9),(9,6),(10,7),(10,8),(11,7),(11,8)],12)
[2,1,4,3,5,7,8,6,10,9,12,11]=>([(0,8),(0,9),(1,8),(1,9),(2,4),(3,10),(3,11),(4,10),(4,11),(7,2),(7,3),(8,7),(9,7),(10,5),(10,6),(11,5),(11,6)],12)
[2,1,4,3,5,7,8,6,9,11,12,10]=>([(0,8),(0,9),(1,8),(1,9),(2,10),(5,10),(6,5),(7,4),(8,11),(9,11),(10,3),(10,7),(11,2),(11,6)],12)
[2,1,4,3,5,7,6,9,10,8,12,11]=>([(0,9),(0,10),(1,9),(1,10),(2,6),(2,7),(3,8),(3,11),(4,8),(4,11),(5,3),(5,4),(8,2),(9,5),(10,5),(11,6),(11,7)],12)
[2,1,4,3,5,7,6,9,8,11,12,10]=>([(0,8),(0,9),(1,8),(1,9),(3,10),(3,11),(4,10),(4,11),(6,2),(7,3),(7,4),(8,7),(9,7),(10,5),(10,6),(11,5),(11,6)],12)
[2,1,4,3,5,7,6,8,10,11,12,9]=>([(0,8),(0,9),(1,8),(1,9),(2,10),(3,10),(6,7),(7,5),(8,11),(9,11),(10,4),(10,6),(11,2),(11,3)],12)
[2,1,4,3,5,6,8,9,10,7,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,7),(2,8),(3,7),(3,8),(4,5),(5,3),(6,2),(6,4),(9,6),(10,9),(11,9)],12)
[2,1,4,3,5,6,8,9,7,11,12,10]=>([(0,9),(0,10),(1,9),(1,10),(3,7),(3,11),(4,7),(4,11),(5,4),(6,3),(6,5),(8,6),(9,8),(10,8),(11,2)],12)
[2,1,4,3,5,6,8,7,10,11,12,9]=>([(0,10),(0,11),(1,10),(1,11),(3,7),(3,9),(4,7),(4,9),(5,2),(6,3),(6,4),(8,6),(9,5),(10,8),(11,8)],12)
[2,1,4,3,5,6,7,9,10,11,12,8]=>([(0,9),(0,10),(1,9),(1,10),(4,7),(5,8),(6,4),(7,2),(8,3),(8,6),(9,11),(10,11),(11,5)],12)
[2,1,3,5,6,4,8,7,10,9,12,11]=>([(0,7),(1,7),(2,4),(3,10),(3,11),(4,10),(4,11),(7,2),(7,3),(8,5),(8,6),(9,5),(9,6),(10,8),(10,9),(11,8),(11,9)],12)
[2,1,3,5,6,4,8,7,9,11,12,10]=>([(0,11),(1,11),(4,8),(4,9),(5,8),(5,9),(6,5),(7,3),(8,10),(9,10),(10,2),(10,7),(11,4),(11,6)],12)
[2,1,3,5,6,4,7,9,10,8,12,11]=>([(0,11),(1,11),(2,10),(3,10),(4,8),(4,9),(5,8),(5,9),(6,3),(7,5),(10,4),(10,7),(11,2),(11,6)],12)
[2,1,3,5,6,4,7,9,8,11,12,10]=>([(0,10),(1,10),(2,11),(3,11),(4,8),(4,9),(5,8),(5,9),(7,3),(9,6),(10,2),(10,7),(11,4),(11,5)],12)
[2,1,3,5,6,4,7,8,10,11,12,9]=>([(0,11),(1,11),(4,10),(5,10),(6,5),(7,8),(8,3),(9,2),(9,7),(10,9),(11,4),(11,6)],12)
[2,1,3,5,4,7,8,6,10,9,12,11]=>([(0,8),(1,8),(2,7),(2,11),(3,7),(3,11),(4,9),(4,10),(7,4),(8,2),(8,3),(9,5),(9,6),(10,5),(10,6),(11,9),(11,10)],12)
[2,1,3,5,4,7,8,6,9,11,12,10]=>([(0,11),(1,11),(3,8),(3,9),(4,8),(4,9),(6,10),(7,2),(8,10),(9,6),(10,5),(10,7),(11,3),(11,4)],12)
[2,1,3,5,4,7,6,9,10,8,12,11]=>([(0,8),(1,8),(2,6),(2,7),(3,10),(3,11),(4,10),(4,11),(5,2),(8,3),(8,4),(9,6),(9,7),(10,5),(10,9),(11,5),(11,9)],12)
[2,1,3,5,4,7,6,9,8,11,12,10]=>([(0,7),(1,7),(3,10),(3,11),(4,10),(4,11),(6,2),(7,3),(7,4),(8,5),(8,6),(9,5),(9,6),(10,8),(10,9),(11,8),(11,9)],12)
[2,1,3,5,4,7,6,8,10,11,12,9]=>([(0,11),(1,11),(4,8),(4,9),(5,8),(5,9),(6,7),(7,3),(8,10),(9,10),(10,2),(10,6),(11,4),(11,5)],12)
[2,1,3,5,4,6,8,9,10,7,12,11]=>([(0,11),(1,11),(2,10),(3,10),(4,8),(4,9),(5,8),(5,9),(6,7),(7,5),(10,4),(10,6),(11,2),(11,3)],12)
[2,1,3,5,4,6,8,9,7,11,12,10]=>([(0,11),(1,11),(2,10),(3,10),(4,8),(4,9),(6,8),(6,9),(7,4),(9,5),(10,6),(10,7),(11,2),(11,3)],12)
[2,1,3,5,4,6,8,7,10,11,12,9]=>([(0,11),(1,11),(2,10),(3,10),(5,8),(5,9),(6,8),(6,9),(7,4),(9,7),(10,5),(10,6),(11,2),(11,3)],12)
[2,1,3,5,4,6,7,9,10,11,12,8]=>([(0,11),(1,11),(4,10),(5,10),(6,8),(7,3),(8,7),(9,2),(9,6),(10,9),(11,4),(11,5)],12)
[2,1,3,4,6,7,8,5,10,9,12,11]=>([(0,11),(1,11),(2,7),(2,8),(3,7),(3,8),(4,5),(5,3),(6,2),(6,4),(7,9),(7,10),(8,9),(8,10),(11,6)],12)
[2,1,3,4,6,7,8,5,9,11,12,10]=>([(0,10),(1,10),(3,11),(5,11),(6,4),(7,8),(8,5),(9,3),(9,7),(10,9),(11,2),(11,6)],12)
[2,1,3,4,6,7,5,9,10,8,12,11]=>([(0,10),(1,10),(2,7),(2,11),(3,7),(3,11),(4,8),(4,9),(5,3),(6,2),(6,5),(7,8),(7,9),(10,6),(11,4)],12)
[2,1,3,4,6,7,5,9,8,11,12,10]=>([(0,10),(1,10),(3,7),(3,8),(4,7),(4,8),(5,4),(6,3),(6,5),(7,9),(7,11),(8,9),(8,11),(10,6),(11,2)],12)
[2,1,3,4,6,7,5,8,10,11,12,9]=>([(0,10),(1,10),(3,11),(5,11),(6,8),(7,5),(8,4),(9,3),(9,7),(10,9),(11,2),(11,6)],12)
[2,1,3,4,6,5,8,9,10,7,12,11]=>([(0,11),(1,11),(2,9),(2,10),(3,7),(3,8),(4,7),(4,8),(5,2),(6,3),(6,4),(7,9),(7,10),(8,5),(11,6)],12)
[2,1,3,4,6,5,8,9,7,11,12,10]=>([(0,9),(1,9),(3,8),(3,11),(4,7),(4,10),(5,7),(5,10),(6,4),(6,5),(7,8),(7,11),(9,6),(10,3),(11,2)],12)
[2,1,3,4,6,5,8,7,10,11,12,9]=>([(0,11),(1,11),(3,7),(3,8),(4,7),(4,8),(5,2),(6,3),(6,4),(7,9),(7,10),(8,9),(8,10),(10,5),(11,6)],12)
[2,1,3,4,6,5,7,9,10,11,12,8]=>([(0,10),(1,10),(3,11),(4,11),(6,8),(7,5),(8,7),(9,3),(9,4),(10,9),(11,2),(11,6)],12)
[2,1,3,4,5,7,8,9,10,6,12,11]=>([(0,11),(1,11),(2,9),(2,10),(3,9),(3,10),(4,7),(5,8),(6,4),(7,2),(8,3),(8,6),(11,5)],12)
[2,1,3,4,5,7,8,9,6,11,12,10]=>([(0,10),(1,10),(3,9),(3,11),(4,9),(4,11),(5,8),(6,7),(7,4),(8,3),(8,6),(10,5),(11,2)],12)
[2,1,3,4,5,7,8,6,10,11,12,9]=>([(0,11),(1,11),(3,9),(3,10),(4,9),(4,10),(5,8),(6,4),(7,2),(8,3),(8,6),(10,7),(11,5)],12)
[2,1,3,4,5,7,6,9,10,11,12,8]=>([(0,11),(1,11),(3,9),(3,10),(4,9),(4,10),(5,2),(6,8),(7,5),(8,3),(8,4),(10,7),(11,6)],12)
[2,1,3,4,5,6,8,9,10,11,12,7]=>([(0,11),(1,11),(4,5),(5,8),(6,10),(7,4),(8,2),(9,6),(10,3),(10,7),(11,9)],12)
[1,3,4,2,6,5,8,7,10,9,12,11]=>([(0,1),(0,3),(1,2),(2,10),(2,11),(3,10),(3,11),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)
[1,3,4,2,6,5,8,7,9,11,12,10]=>([(0,4),(0,6),(3,7),(3,8),(4,7),(4,8),(5,2),(6,3),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11),(11,1),(11,5)],12)
[1,3,4,2,6,5,7,9,10,8,12,11]=>([(0,4),(0,6),(1,9),(1,10),(2,7),(2,8),(3,7),(3,8),(4,9),(4,10),(5,3),(6,1),(9,11),(10,11),(11,2),(11,5)],12)
[1,3,4,2,6,5,7,9,8,11,12,10]=>([(0,5),(0,6),(2,7),(2,10),(3,7),(3,10),(4,8),(4,9),(5,8),(5,9),(6,4),(8,11),(9,11),(10,1),(11,2),(11,3)],12)
[1,3,4,2,6,5,7,8,10,11,12,9]=>([(0,4),(0,7),(3,9),(3,10),(4,9),(4,10),(5,6),(6,2),(7,3),(8,1),(8,5),(9,11),(10,11),(11,8)],12)
[1,3,4,2,5,7,8,6,10,9,12,11]=>([(0,4),(0,6),(1,11),(2,7),(2,8),(3,7),(3,8),(4,11),(5,3),(6,1),(7,9),(7,10),(8,9),(8,10),(11,2),(11,5)],12)
[1,3,4,2,5,7,8,6,9,11,12,10]=>([(0,6),(0,9),(2,11),(3,10),(5,10),(6,11),(7,3),(8,1),(9,2),(10,4),(10,8),(11,5),(11,7)],12)
[1,3,4,2,5,7,6,9,10,8,12,11]=>([(0,5),(0,6),(1,7),(1,10),(2,7),(2,10),(3,11),(4,8),(4,9),(5,11),(6,3),(7,8),(7,9),(10,4),(11,1),(11,2)],12)
[1,3,4,2,5,7,6,9,8,11,12,10]=>([(0,5),(0,6),(2,11),(3,7),(3,8),(4,7),(4,8),(5,11),(6,2),(7,9),(7,10),(8,9),(8,10),(10,1),(11,3),(11,4)],12)
[1,3,4,2,5,7,6,8,10,11,12,9]=>([(0,6),(0,9),(1,11),(3,10),(4,10),(6,11),(7,2),(8,7),(9,1),(10,5),(10,8),(11,3),(11,4)],12)
[1,3,4,2,5,6,8,9,10,7,12,11]=>([(0,4),(0,7),(1,11),(2,9),(2,10),(3,9),(3,10),(4,11),(5,6),(6,3),(7,1),(8,2),(8,5),(11,8)],12)
[1,3,4,2,5,6,8,9,7,11,12,10]=>([(0,5),(0,7),(2,10),(3,9),(3,11),(4,9),(4,11),(5,10),(6,4),(7,2),(8,3),(8,6),(10,8),(11,1)],12)
[1,3,4,2,5,6,8,7,10,11,12,9]=>([(0,5),(0,7),(2,10),(3,9),(3,11),(4,9),(4,11),(5,10),(6,1),(7,2),(8,3),(8,4),(10,8),(11,6)],12)
[1,3,4,2,5,6,7,9,10,11,12,8]=>([(0,4),(0,9),(3,11),(4,11),(5,7),(6,5),(7,1),(8,10),(9,3),(10,2),(10,6),(11,8)],12)
[1,3,2,5,6,4,8,7,10,9,12,11]=>([(0,2),(0,3),(1,7),(1,8),(2,6),(2,11),(3,6),(3,11),(6,1),(7,9),(7,10),(8,9),(8,10),(9,4),(9,5),(10,4),(10,5),(11,7),(11,8)],12)
[1,3,2,5,6,4,8,7,9,11,12,10]=>([(0,4),(0,5),(3,8),(3,9),(4,7),(4,10),(5,7),(5,10),(6,2),(7,8),(7,9),(8,11),(9,11),(10,3),(11,1),(11,6)],12)
[1,3,2,5,6,4,7,9,10,8,12,11]=>([(0,4),(0,5),(1,11),(2,7),(2,8),(3,7),(3,8),(4,9),(4,10),(5,9),(5,10),(6,3),(9,11),(10,1),(11,2),(11,6)],12)
[1,3,2,5,6,4,7,9,8,11,12,10]=>([(0,5),(0,6),(2,11),(3,7),(3,9),(4,7),(4,9),(5,8),(5,10),(6,8),(6,10),(8,11),(9,1),(10,2),(11,3),(11,4)],12)
[1,3,2,5,6,4,7,8,10,11,12,9]=>([(0,4),(0,5),(1,10),(4,9),(4,11),(5,9),(5,11),(6,7),(7,3),(8,2),(8,6),(9,10),(10,8),(11,1)],12)
[1,3,2,5,4,7,8,6,10,9,12,11]=>([(0,2),(0,3),(1,8),(1,9),(2,10),(2,11),(3,10),(3,11),(6,1),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)
[1,3,2,5,4,7,8,6,9,11,12,10]=>([(0,4),(0,5),(1,10),(4,7),(4,8),(5,7),(5,8),(6,3),(7,9),(7,11),(8,9),(8,11),(9,10),(10,2),(10,6),(11,1)],12)
[1,3,2,5,4,7,6,9,10,8,12,11]=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,10),(3,11),(4,1),(7,4),(7,9),(8,4),(8,9),(9,5),(9,6),(10,7),(10,8),(11,7),(11,8)],12)
[1,3,2,5,4,7,6,9,8,11,12,10]=>([(0,2),(0,3),(2,10),(2,11),(3,10),(3,11),(5,1),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)
[1,3,2,5,4,7,6,8,10,11,12,9]=>([(0,3),(0,4),(3,7),(3,8),(4,7),(4,8),(5,6),(6,2),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11),(11,1),(11,5)],12)
[1,3,2,5,4,6,8,9,10,7,12,11]=>([(0,3),(0,4),(1,7),(1,8),(2,7),(2,8),(3,9),(3,10),(4,9),(4,10),(5,6),(6,2),(9,11),(10,11),(11,1),(11,5)],12)
[1,3,2,5,4,6,8,9,7,11,12,10]=>([(0,4),(0,5),(2,7),(2,10),(3,7),(3,10),(4,8),(4,9),(5,8),(5,9),(6,3),(8,11),(9,11),(10,1),(11,2),(11,6)],12)
[1,3,2,5,4,6,8,7,10,11,12,9]=>([(0,4),(0,5),(2,7),(2,10),(3,7),(3,10),(4,8),(4,9),(5,8),(5,9),(6,1),(8,11),(9,11),(10,6),(11,2),(11,3)],12)
[1,3,2,5,4,6,7,9,10,11,12,8]=>([(0,3),(0,4),(3,9),(3,10),(4,9),(4,10),(5,7),(6,2),(7,6),(8,1),(8,5),(9,11),(10,11),(11,8)],12)
[1,3,2,4,6,7,8,5,10,9,12,11]=>([(0,3),(0,4),(1,7),(1,8),(2,7),(2,8),(3,11),(4,11),(5,6),(6,2),(7,9),(7,10),(8,9),(8,10),(11,1),(11,5)],12)
[1,3,2,4,6,7,8,5,9,11,12,10]=>([(0,5),(0,6),(2,10),(4,10),(5,11),(6,11),(7,2),(8,1),(9,7),(10,3),(10,8),(11,4),(11,9)],12)
[1,3,2,4,6,7,5,9,10,8,12,11]=>([(0,4),(0,5),(1,7),(1,10),(2,7),(2,10),(3,8),(3,9),(4,11),(5,11),(6,2),(7,8),(7,9),(10,3),(11,1),(11,6)],12)
[1,3,2,4,6,7,5,9,8,11,12,10]=>([(0,4),(0,5),(2,7),(2,8),(3,7),(3,8),(4,10),(5,10),(6,3),(7,9),(7,11),(8,9),(8,11),(10,2),(10,6),(11,1)],12)
[1,3,2,4,6,7,5,8,10,11,12,9]=>([(0,5),(0,6),(2,10),(4,10),(5,11),(6,11),(7,1),(8,2),(9,7),(10,3),(10,9),(11,4),(11,8)],12)
[1,3,2,4,6,5,8,9,10,7,12,11]=>([(0,4),(0,5),(1,9),(1,10),(2,7),(2,8),(3,7),(3,8),(4,11),(5,11),(6,1),(7,9),(7,10),(8,6),(11,2),(11,3)],12)
[1,3,2,4,6,5,8,9,7,11,12,10]=>([(0,5),(0,6),(2,8),(2,10),(3,7),(3,9),(4,7),(4,9),(5,11),(6,11),(7,8),(7,10),(9,2),(10,1),(11,3),(11,4)],12)
[1,3,2,4,6,5,8,7,10,11,12,9]=>([(0,4),(0,5),(2,7),(2,8),(3,7),(3,8),(4,11),(5,11),(6,1),(7,9),(7,10),(8,9),(8,10),(10,6),(11,2),(11,3)],12)
[1,3,2,4,6,5,7,9,10,11,12,8]=>([(0,5),(0,6),(2,10),(3,10),(5,11),(6,11),(7,8),(8,1),(9,7),(10,4),(10,9),(11,2),(11,3)],12)
[1,3,2,4,5,7,8,9,10,6,12,11]=>([(0,3),(0,4),(1,9),(1,10),(2,9),(2,10),(3,11),(4,11),(5,7),(6,2),(7,6),(8,1),(8,5),(11,8)],12)
[1,3,2,4,5,7,8,9,6,11,12,10]=>([(0,4),(0,5),(2,9),(2,11),(3,9),(3,11),(4,10),(5,10),(6,7),(7,3),(8,2),(8,6),(10,8),(11,1)],12)
[1,3,2,4,5,7,8,6,10,11,12,9]=>([(0,4),(0,5),(2,9),(2,10),(3,9),(3,10),(4,11),(5,11),(6,3),(7,1),(8,2),(8,6),(10,7),(11,8)],12)
[1,3,2,4,5,7,6,9,10,11,12,8]=>([(0,4),(0,5),(2,9),(2,10),(3,9),(3,10),(4,11),(5,11),(6,1),(7,6),(8,2),(8,3),(10,7),(11,8)],12)
[1,3,2,4,5,6,8,9,10,11,12,7]=>([(0,3),(0,4),(3,11),(4,11),(5,6),(6,8),(7,5),(8,1),(9,10),(10,2),(10,7),(11,9)],12)
[1,2,4,5,6,3,8,7,10,9,12,11]=>([(0,3),(1,2),(2,4),(3,1),(3,5),(4,10),(4,11),(5,10),(5,11),(8,6),(8,7),(9,6),(9,7),(10,8),(10,9),(11,8),(11,9)],12)
[1,2,4,5,6,3,8,7,9,11,12,10]=>([(0,8),(3,9),(3,10),(4,9),(4,10),(5,2),(6,7),(7,4),(8,3),(8,6),(9,11),(10,11),(11,1),(11,5)],12)
[1,2,4,5,6,3,7,9,10,8,12,11]=>([(0,8),(1,11),(2,11),(3,9),(3,10),(4,9),(4,10),(5,4),(6,7),(7,2),(8,1),(8,6),(11,3),(11,5)],12)
[1,2,4,5,6,3,7,9,8,11,12,10]=>([(0,8),(2,11),(3,11),(4,9),(4,10),(5,9),(5,10),(6,7),(7,3),(8,2),(8,6),(10,1),(11,4),(11,5)],12)
[1,2,4,5,6,3,7,8,10,11,12,9]=>([(0,10),(3,11),(4,11),(5,7),(6,8),(7,4),(8,2),(9,1),(9,6),(10,3),(10,5),(11,9)],12)
[1,2,4,5,3,7,8,6,10,9,12,11]=>([(0,2),(1,5),(2,1),(2,3),(3,8),(3,11),(4,9),(4,10),(5,8),(5,11),(8,4),(9,6),(9,7),(10,6),(10,7),(11,9),(11,10)],12)
[1,2,4,5,3,7,8,6,9,11,12,10]=>([(0,8),(2,9),(2,10),(3,9),(3,10),(5,11),(6,3),(7,1),(8,2),(8,6),(9,11),(10,5),(11,4),(11,7)],12)
[1,2,4,5,3,7,6,9,10,8,12,11]=>([(0,2),(1,5),(2,1),(2,4),(3,7),(3,8),(4,10),(4,11),(5,10),(5,11),(6,3),(9,7),(9,8),(10,6),(10,9),(11,6),(11,9)],12)
[1,2,4,5,3,7,6,9,8,11,12,10]=>([(0,3),(2,5),(3,2),(3,4),(4,10),(4,11),(5,10),(5,11),(7,1),(8,6),(8,7),(9,6),(9,7),(10,8),(10,9),(11,8),(11,9)],12)
[1,2,4,5,3,7,6,8,10,11,12,9]=>([(0,8),(3,9),(3,10),(4,9),(4,10),(5,7),(6,4),(7,2),(8,3),(8,6),(9,11),(10,11),(11,1),(11,5)],12)
[1,2,4,5,3,6,8,9,10,7,12,11]=>([(0,8),(1,11),(2,11),(3,9),(3,10),(4,9),(4,10),(5,7),(6,2),(7,4),(8,1),(8,6),(11,3),(11,5)],12)
[1,2,4,5,3,6,8,9,7,11,12,10]=>([(0,8),(1,9),(1,11),(2,10),(3,10),(5,9),(5,11),(6,3),(7,1),(8,2),(8,6),(10,5),(10,7),(11,4)],12)
[1,2,4,5,3,6,8,7,10,11,12,9]=>([(0,8),(2,11),(3,11),(4,9),(4,10),(5,9),(5,10),(6,3),(7,1),(8,2),(8,6),(10,7),(11,4),(11,5)],12)
[1,2,4,5,3,6,7,9,10,11,12,8]=>([(0,10),(3,11),(4,11),(5,4),(6,7),(7,8),(8,2),(9,1),(9,6),(10,3),(10,5),(11,9)],12)
[1,2,4,3,6,7,8,5,10,9,12,11]=>([(0,2),(1,5),(2,3),(2,4),(3,8),(3,11),(4,8),(4,11),(5,9),(5,10),(8,1),(9,6),(9,7),(10,6),(10,7),(11,9),(11,10)],12)
[1,2,4,3,6,7,8,5,9,11,12,10]=>([(0,8),(1,11),(4,9),(4,10),(5,9),(5,10),(6,3),(7,1),(8,4),(8,5),(9,7),(10,11),(11,2),(11,6)],12)
[1,2,4,3,6,7,5,9,10,8,12,11]=>([(0,1),(1,4),(1,5),(2,6),(2,7),(3,8),(3,10),(4,9),(4,11),(5,9),(5,11),(8,2),(9,3),(10,6),(10,7),(11,8),(11,10)],12)
[1,2,4,3,6,7,5,9,8,11,12,10]=>([(0,2),(2,3),(2,4),(3,8),(3,11),(4,8),(4,11),(5,9),(5,10),(7,1),(8,5),(9,6),(9,7),(10,6),(10,7),(11,9),(11,10)],12)
[1,2,4,3,6,7,5,8,10,11,12,9]=>([(0,8),(2,9),(2,10),(3,9),(3,10),(5,11),(6,1),(7,6),(8,2),(8,3),(9,11),(10,5),(11,4),(11,7)],12)
[1,2,4,3,6,5,8,9,10,7,12,11]=>([(0,2),(1,5),(2,3),(2,4),(3,10),(3,11),(4,10),(4,11),(5,7),(5,8),(6,1),(9,7),(9,8),(10,6),(10,9),(11,6),(11,9)],12)
[1,2,4,3,6,5,8,9,7,11,12,10]=>([(0,2),(2,4),(2,5),(3,7),(3,8),(4,10),(4,11),(5,10),(5,11),(6,3),(8,1),(9,7),(9,8),(10,6),(10,9),(11,6),(11,9)],12)
[1,2,4,3,6,5,8,7,10,11,12,9]=>([(0,3),(1,2),(3,4),(3,5),(4,10),(4,11),(5,10),(5,11),(7,1),(8,6),(8,7),(9,6),(9,7),(10,8),(10,9),(11,8),(11,9)],12)
[1,2,4,3,6,5,7,9,10,11,12,8]=>([(0,8),(3,9),(3,10),(4,9),(4,10),(5,7),(6,2),(7,6),(8,3),(8,4),(9,11),(10,11),(11,1),(11,5)],12)
[1,2,4,3,5,7,8,9,10,6,12,11]=>([(0,8),(1,11),(2,11),(3,9),(3,10),(4,9),(4,10),(5,7),(6,4),(7,6),(8,1),(8,2),(11,3),(11,5)],12)
[1,2,4,3,5,7,8,9,6,11,12,10]=>([(0,8),(1,10),(2,10),(3,9),(3,11),(5,9),(5,11),(6,3),(7,6),(8,1),(8,2),(10,5),(10,7),(11,4)],12)
[1,2,4,3,5,7,8,6,10,11,12,9]=>([(0,8),(2,11),(3,11),(4,9),(4,10),(5,9),(5,10),(6,5),(7,1),(8,2),(8,3),(10,7),(11,4),(11,6)],12)
[1,2,4,3,5,7,6,9,10,11,12,8]=>([(0,8),(1,11),(2,11),(4,9),(4,10),(5,9),(5,10),(6,3),(7,6),(8,1),(8,2),(10,7),(11,4),(11,5)],12)
[1,2,4,3,5,6,8,9,10,11,12,7]=>([(0,10),(3,11),(4,11),(5,8),(6,2),(7,6),(8,7),(9,1),(9,5),(10,3),(10,4),(11,9)],12)
[1,2,3,5,6,7,8,4,10,9,12,11]=>([(0,6),(1,8),(1,9),(2,8),(2,9),(3,5),(4,3),(5,1),(6,7),(7,2),(7,4),(8,10),(8,11),(9,10),(9,11)],12)
[1,2,3,5,6,7,8,4,9,11,12,10]=>([(0,9),(2,11),(3,11),(5,7),(6,5),(7,2),(8,1),(9,10),(10,3),(10,6),(11,4),(11,8)],12)
[1,2,3,5,6,7,4,9,10,8,12,11]=>([(0,6),(1,8),(1,11),(2,8),(2,11),(3,9),(3,10),(4,5),(5,2),(6,7),(7,1),(7,4),(8,9),(8,10),(11,3)],12)
[1,2,3,5,6,7,4,9,8,11,12,10]=>([(0,6),(2,8),(2,9),(3,8),(3,9),(4,5),(5,3),(6,7),(7,2),(7,4),(8,10),(8,11),(9,10),(9,11),(11,1)],12)
[1,2,3,5,6,7,4,8,10,11,12,9]=>([(0,9),(2,11),(3,11),(5,1),(6,7),(7,2),(8,5),(9,10),(10,3),(10,6),(11,4),(11,8)],12)
[1,2,3,5,6,4,8,9,10,7,12,11]=>([(0,6),(1,10),(1,11),(2,8),(2,9),(3,8),(3,9),(4,3),(5,1),(6,7),(7,2),(7,4),(8,10),(8,11),(9,5)],12)
[1,2,3,5,6,4,8,9,7,11,12,10]=>([(0,6),(2,9),(2,11),(3,8),(3,10),(4,8),(4,10),(5,4),(6,7),(7,3),(7,5),(8,9),(8,11),(10,2),(11,1)],12)
[1,2,3,5,6,4,8,7,10,11,12,9]=>([(0,6),(2,8),(2,9),(3,8),(3,9),(4,3),(5,1),(6,7),(7,2),(7,4),(8,10),(8,11),(9,10),(9,11),(11,5)],12)
[1,2,3,5,6,4,7,9,10,11,12,8]=>([(0,9),(2,11),(3,11),(5,1),(6,5),(7,2),(8,6),(9,10),(10,3),(10,7),(11,4),(11,8)],12)
[1,2,3,5,4,7,8,9,10,6,12,11]=>([(0,6),(1,10),(1,11),(2,8),(2,9),(3,8),(3,9),(4,1),(5,4),(6,7),(7,2),(7,3),(8,10),(8,11),(9,5)],12)
[1,2,3,5,4,7,8,9,6,11,12,10]=>([(0,6),(2,10),(2,11),(3,8),(3,9),(4,8),(4,9),(5,2),(6,7),(7,3),(7,4),(8,10),(8,11),(9,5),(11,1)],12)
[1,2,3,5,4,7,8,6,10,11,12,9]=>([(0,6),(1,8),(1,11),(2,8),(2,11),(4,9),(4,10),(5,3),(6,7),(7,1),(7,2),(8,9),(8,10),(10,5),(11,4)],12)
[1,2,3,5,4,7,6,9,10,11,12,8]=>([(0,6),(2,8),(2,9),(3,8),(3,9),(4,1),(5,4),(6,7),(7,2),(7,3),(8,10),(8,11),(9,10),(9,11),(11,5)],12)
[1,2,3,5,4,6,8,9,10,11,12,7]=>([(0,9),(2,11),(3,11),(5,6),(6,1),(7,5),(8,7),(9,10),(10,2),(10,3),(11,4),(11,8)],12)
[1,2,3,4,6,7,8,9,10,5,12,11]=>([(0,8),(1,10),(1,11),(2,10),(2,11),(3,4),(4,7),(5,9),(6,3),(7,1),(8,5),(9,2),(9,6)],12)
[1,2,3,4,6,7,8,9,5,11,12,10]=>([(0,8),(1,10),(1,11),(2,10),(2,11),(4,7),(5,9),(6,4),(7,1),(8,5),(9,2),(9,6),(11,3)],12)
[1,2,3,4,6,7,8,5,10,11,12,9]=>([(0,8),(2,10),(2,11),(3,10),(3,11),(4,1),(5,9),(6,7),(7,2),(8,5),(9,3),(9,6),(11,4)],12)
[1,2,3,4,6,7,5,9,10,11,12,8]=>([(0,8),(2,10),(2,11),(3,10),(3,11),(4,1),(5,4),(6,9),(7,2),(8,6),(9,3),(9,7),(11,5)],12)
[1,2,3,4,6,5,8,9,10,11,12,7]=>([(0,8),(2,10),(2,11),(3,10),(3,11),(4,5),(5,1),(6,4),(7,9),(8,7),(9,2),(9,3),(11,6)],12)
[1,2,3,4,5,7,8,9,10,11,12,6]=>([(0,10),(3,5),(4,3),(5,9),(6,7),(7,11),(8,4),(9,1),(10,6),(11,2),(11,8)],12)
[12,1,2,3,4,5,6,7,8,11,9,10]=>([(1,10),(4,6),(5,4),(6,8),(7,5),(8,11),(9,2),(10,7),(11,3),(11,9)],12)
[12,11,1,2,3,4,5,6,7,8,9,10]=>([(2,11),(4,6),(5,4),(6,8),(7,5),(8,10),(9,7),(10,3),(11,9)],12)
[12,2,1,3,4,5,6,7,8,9,10,11]=>([(1,11),(2,11),(4,5),(5,7),(6,4),(7,9),(8,6),(9,3),(10,8),(11,10)],12)
[2,1,4,3,6,5,8,7,12,9,11,10]=>([(0,10),(0,11),(1,10),(1,11),(5,2),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)
[2,1,4,3,6,5,10,7,9,8,12,11]=>([(0,8),(0,9),(1,8),(1,9),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],12)
[2,1,4,3,6,5,12,11,9,7,8,10]=>([(0,8),(0,9),(1,8),(1,9),(2,6),(5,2),(7,6),(8,10),(8,11),(9,10),(9,11),(10,3),(10,4),(10,5),(10,7),(11,3),(11,4),(11,5),(11,7)],12)
[2,1,4,3,6,5,12,7,8,10,11,9]=>([(0,10),(0,11),(1,10),(1,11),(2,4),(2,5),(5,3),(7,2),(8,6),(8,7),(9,6),(9,7),(10,8),(10,9),(11,8),(11,9)],12)
[2,1,4,3,8,5,7,6,10,9,12,11]=>([(0,8),(0,9),(1,8),(1,9),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(7,2),(7,3),(8,4),(8,7),(9,4),(9,7),(10,5),(10,6),(11,5),(11,6)],12)
[2,1,4,3,8,5,7,6,12,9,11,10]=>([(0,7),(0,8),(1,7),(1,8),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,6),(7,9),(8,6),(8,9),(9,4),(9,5),(11,2),(11,3)],12)
[2,1,4,3,10,9,7,5,6,8,12,11]=>([(0,8),(0,9),(1,8),(1,9),(2,6),(3,10),(3,11),(4,10),(4,11),(5,2),(6,10),(6,11),(7,6),(8,3),(8,4),(8,5),(8,7),(9,3),(9,4),(9,5),(9,7)],12)
[2,1,4,3,12,9,7,11,6,5,8,10]=>([(0,9),(0,10),(1,9),(1,10),(4,11),(5,11),(7,3),(7,11),(8,3),(8,6),(9,2),(9,4),(9,5),(9,7),(9,8),(10,2),(10,4),(10,5),(10,7),(10,8),(11,6)],12)
[2,1,4,3,12,10,7,5,8,6,11,9]=>([(0,9),(0,10),(1,9),(1,10),(2,5),(2,11),(4,11),(6,7),(7,5),(7,11),(8,2),(8,7),(9,3),(9,4),(9,6),(9,8),(10,3),(10,4),(10,6),(10,8)],12)
[2,1,4,3,10,5,6,8,9,7,12,11]=>([(0,8),(0,9),(1,8),(1,9),(2,10),(2,11),(3,10),(3,11),(4,3),(5,2),(5,4),(6,5),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7)],12)
[2,1,4,3,12,11,6,8,9,5,7,10]=>([(0,10),(0,11),(1,10),(1,11),(2,3),(3,6),(7,8),(8,6),(9,2),(9,8),(10,4),(10,5),(10,7),(10,9),(11,4),(11,5),(11,7),(11,9)],12)
[2,1,4,3,12,5,11,8,6,10,7,9]=>([(0,10),(0,11),(1,10),(1,11),(3,4),(3,9),(4,7),(5,7),(5,9),(8,2),(8,3),(8,5),(10,6),(10,8),(11,6),(11,8)],12)
[2,1,4,3,12,5,6,7,9,10,11,8]=>([(0,9),(0,10),(1,9),(1,10),(4,7),(5,6),(6,2),(7,3),(7,5),(9,8),(9,11),(10,8),(10,11),(11,4)],12)
[2,1,6,3,5,4,8,7,10,9,12,11]=>([(0,6),(0,7),(1,6),(1,7),(2,10),(2,11),(3,10),(3,11),(6,10),(6,11),(7,2),(7,3),(8,4),(8,5),(9,4),(9,5),(10,8),(10,9),(11,8),(11,9)],12)
[2,1,6,3,5,4,8,7,12,9,11,10]=>([(0,7),(0,9),(1,7),(1,9),(4,10),(4,11),(5,10),(5,11),(7,10),(7,11),(8,2),(8,3),(9,4),(9,5),(10,6),(10,8),(11,6),(11,8)],12)
[2,1,6,3,5,4,10,7,9,8,12,11]=>([(0,6),(0,7),(1,6),(1,7),(2,10),(2,11),(3,10),(3,11),(4,8),(4,9),(5,8),(5,9),(6,10),(6,11),(7,2),(7,3),(10,8),(10,9),(11,4),(11,5)],12)
[2,1,6,3,5,4,12,11,9,7,8,10]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(6,3),(6,4),(7,8),(7,9),(7,10),(7,11),(10,2),(11,5)],12)
[2,1,6,3,5,4,12,7,8,10,11,9]=>([(0,8),(0,9),(1,8),(1,9),(4,10),(4,11),(5,10),(5,11),(6,3),(7,2),(7,6),(8,10),(8,11),(9,4),(9,5),(11,7)],12)
[2,1,8,7,5,3,4,6,10,9,12,11]=>([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,5),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,2),(9,5),(10,3),(10,4),(11,3),(11,4)],12)
[2,1,8,7,5,3,4,6,12,9,11,10]=>([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(4,5),(5,10),(5,11),(6,4),(7,10),(7,11),(8,10),(8,11),(9,5),(11,2),(11,3)],12)
[2,1,10,7,5,9,4,3,6,8,12,11]=>([(0,4),(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,9),(2,10),(3,9),(3,10),(4,11),(5,11),(6,9),(6,10),(7,3),(7,11),(8,2),(8,3),(11,2)],12)
[2,1,12,7,5,9,4,11,6,3,8,10]=>([(0,5),(0,6),(0,7),(0,9),(0,10),(1,5),(1,6),(1,7),(1,9),(1,10),(3,11),(6,11),(7,8),(7,11),(8,2),(8,4),(9,2),(9,3),(10,3),(10,8),(11,4)],12)
[2,1,12,7,5,10,4,3,8,6,11,9]=>([(0,4),(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(3,9),(5,10),(5,11),(6,10),(6,11),(7,3),(7,11),(8,3),(8,10),(8,11),(10,2),(10,9),(11,2),(11,9)],12)
[2,1,10,8,5,3,6,4,9,7,12,11]=>([(0,4),(0,5),(0,7),(0,8),(1,4),(1,5),(1,7),(1,8),(2,3),(2,11),(3,9),(3,10),(4,11),(5,9),(5,10),(6,3),(6,11),(7,6),(8,2),(8,6),(11,9),(11,10)],12)
[2,1,12,8,5,11,6,4,9,3,7,10]=>([(0,5),(0,6),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,10),(2,11),(6,10),(7,10),(7,11),(8,3),(8,11),(9,2),(9,3),(10,4),(11,4)],12)
[2,1,12,8,5,3,11,4,6,10,7,9]=>([(0,6),(0,7),(0,9),(0,10),(1,6),(1,7),(1,9),(1,10),(2,8),(3,5),(7,2),(7,11),(8,3),(8,4),(9,8),(9,11),(10,4),(10,5),(10,11)],12)
[2,1,12,9,5,3,6,7,4,10,11,8]=>([(0,7),(0,8),(0,9),(0,10),(1,7),(1,8),(1,9),(1,10),(3,6),(3,11),(4,6),(4,11),(5,3),(8,11),(9,5),(10,4),(10,5),(11,2)],12)
[2,1,8,3,4,6,7,5,10,9,12,11]=>([(0,8),(0,9),(1,8),(1,9),(2,10),(2,11),(3,10),(3,11),(4,3),(5,2),(5,4),(8,5),(9,10),(9,11),(10,6),(10,7),(11,6),(11,7)],12)
[2,1,8,3,4,6,7,5,12,9,11,10]=>([(0,8),(0,9),(1,8),(1,9),(4,10),(4,11),(5,10),(5,11),(6,5),(7,4),(7,6),(8,7),(9,10),(9,11),(11,2),(11,3)],12)
[2,1,10,9,4,6,7,3,5,8,12,11]=>([(0,5),(0,6),(0,8),(0,9),(1,5),(1,6),(1,8),(1,9),(2,3),(3,4),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,4),(8,7),(9,2),(9,7)],12)
[2,1,12,9,4,6,7,11,5,3,8,10]=>([(0,7),(0,8),(0,9),(0,10),(1,7),(1,8),(1,9),(1,10),(2,4),(3,11),(4,5),(4,11),(8,11),(9,2),(9,3),(10,5),(10,6),(11,6)],12)
[2,1,12,10,4,6,7,3,8,5,11,9]=>([(0,5),(0,6),(0,9),(0,10),(1,5),(1,6),(1,9),(1,10),(2,3),(3,8),(6,11),(7,4),(7,11),(8,4),(8,11),(9,2),(9,7),(10,7),(10,8)],12)
[2,1,10,3,9,6,4,8,5,7,12,11]=>([(0,8),(0,9),(1,8),(1,9),(2,10),(2,11),(3,6),(4,6),(4,7),(5,3),(5,7),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,2),(9,4),(9,5)],12)
[2,1,12,11,9,6,4,8,5,3,7,10]=>([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,11),(3,10),(6,11),(7,10),(8,3),(8,11),(9,2),(9,3),(11,10)],12)
[2,1,12,3,10,6,11,8,4,5,7,9]=>([(0,10),(0,11),(1,10),(1,11),(2,9),(3,7),(4,8),(5,4),(6,2),(6,7),(6,8),(8,9),(11,3),(11,5),(11,6)],12)
[2,1,12,3,10,6,4,7,9,5,11,8]=>([(0,8),(0,10),(1,8),(1,10),(2,9),(3,11),(4,11),(5,7),(5,11),(6,5),(6,9),(9,4),(9,7),(10,2),(10,3),(10,6)],12)
[2,1,10,3,4,5,7,8,9,6,12,11]=>([(0,8),(0,9),(1,8),(1,9),(2,10),(2,11),(3,10),(3,11),(4,7),(5,6),(6,2),(7,3),(7,5),(8,10),(8,11),(9,4)],12)
[2,1,12,11,4,5,7,8,9,3,6,10]=>([(0,7),(0,8),(0,9),(0,11),(1,7),(1,8),(1,9),(1,11),(2,3),(3,4),(4,6),(5,2),(5,10),(9,5),(10,6),(11,10)],12)
[2,1,12,3,11,5,7,8,4,10,6,9]=>([(0,10),(0,11),(1,10),(1,11),(3,7),(3,9),(4,7),(4,8),(5,3),(6,5),(6,8),(8,9),(11,2),(11,4),(11,6)],12)
[2,1,12,3,4,11,7,5,9,10,6,8]=>([(0,9),(0,10),(1,9),(1,10),(4,8),(4,11),(5,8),(6,5),(6,11),(7,3),(7,4),(7,6),(10,7),(11,2)],12)
[2,1,12,3,4,5,6,8,9,10,11,7]=>([(0,10),(0,11),(1,10),(1,11),(4,8),(5,6),(6,9),(7,4),(8,2),(9,3),(9,7),(11,5)],12)
[4,1,3,2,6,5,8,7,10,9,12,11]=>([(0,10),(0,11),(1,2),(1,3),(2,10),(2,11),(3,10),(3,11),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7),(10,8),(10,9),(11,8),(11,9)],12)
[4,1,3,2,6,5,8,7,12,9,11,10]=>([(0,10),(0,11),(1,4),(1,5),(4,10),(4,11),(5,10),(5,11),(6,8),(6,9),(7,8),(7,9),(9,2),(9,3),(10,6),(10,7),(11,6),(11,7)],12)
[4,1,3,2,6,5,10,7,9,8,12,11]=>([(0,10),(0,11),(1,2),(1,3),(2,10),(2,11),(3,10),(3,11),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,4),(7,5),(10,6),(10,7),(11,6),(11,7)],12)
[4,1,3,2,6,5,12,11,9,7,8,10]=>([(0,10),(0,11),(1,2),(1,3),(2,10),(2,11),(3,10),(3,11),(4,5),(8,4),(9,5),(10,6),(10,7),(10,8),(10,9),(11,6),(11,7),(11,8),(11,9)],12)
[4,1,3,2,6,5,12,7,8,10,11,9]=>([(0,10),(0,11),(1,4),(1,5),(4,10),(4,11),(5,10),(5,11),(6,3),(7,2),(7,6),(9,7),(10,8),(10,9),(11,8),(11,9)],12)
[4,1,3,2,8,5,7,6,10,9,12,11]=>([(0,10),(0,11),(1,2),(1,3),(2,10),(2,11),(3,10),(3,11),(4,8),(4,9),(5,8),(5,9),(8,6),(8,7),(9,6),(9,7),(10,8),(10,9),(11,4),(11,5)],12)
[4,1,3,2,8,5,7,6,12,9,11,10]=>([(0,9),(0,11),(1,4),(1,5),(4,9),(4,11),(5,9),(5,11),(6,8),(6,10),(7,8),(7,10),(9,8),(9,10),(10,2),(10,3),(11,6),(11,7)],12)
[4,1,3,2,10,9,7,5,6,8,12,11]=>([(0,3),(0,4),(1,8),(1,9),(1,10),(1,11),(2,5),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(8,2),(9,5),(10,6),(10,7),(11,6),(11,7)],12)
[4,1,3,2,12,9,7,11,6,5,8,10]=>([(0,2),(0,3),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(6,5),(8,4),(8,5),(9,6),(10,6),(11,4),(11,6)],12)
[4,1,3,2,12,10,7,5,8,6,11,9]=>([(0,3),(0,4),(1,8),(1,9),(1,10),(1,11),(2,5),(2,7),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(6,5),(6,7),(9,6),(10,2),(10,6),(11,7)],12)
[4,1,3,2,10,5,6,8,9,7,12,11]=>([(0,10),(0,11),(1,2),(1,3),(2,10),(2,11),(3,10),(3,11),(4,8),(4,9),(5,8),(5,9),(6,5),(7,4),(7,6),(10,7),(11,8),(11,9)],12)
[4,1,3,2,12,11,6,8,9,5,7,10]=>([(0,8),(0,9),(0,10),(0,11),(1,3),(1,4),(2,7),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,2),(6,7),(10,6),(11,5),(11,6)],12)
[4,1,3,2,12,5,11,8,6,10,7,9]=>([(0,10),(0,11),(1,3),(1,4),(3,10),(3,11),(4,10),(4,11),(5,8),(6,8),(6,9),(7,5),(7,9),(11,2),(11,6),(11,7)],12)
[4,1,3,2,12,5,6,7,9,10,11,8]=>([(0,10),(0,11),(1,4),(1,5),(4,10),(4,11),(5,10),(5,11),(6,7),(7,3),(8,9),(9,2),(9,6),(11,8)],12)
[6,5,3,1,2,4,8,7,10,9,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,4),(3,7),(4,7),(7,10),(7,11),(8,5),(8,6),(9,5),(9,6),(10,8),(10,9),(11,8),(11,9)],12)
[6,5,3,1,2,4,8,7,12,9,11,10]=>([(0,9),(1,10),(1,11),(2,10),(2,11),(3,6),(6,9),(8,4),(8,5),(9,10),(9,11),(10,7),(10,8),(11,7),(11,8)],12)
[6,5,3,1,2,4,10,7,9,8,12,11]=>([(0,8),(0,9),(1,8),(1,9),(2,7),(3,6),(4,10),(4,11),(5,10),(5,11),(6,7),(7,8),(7,9),(8,10),(8,11),(9,4),(9,5)],12)
[6,5,3,1,2,4,12,11,9,7,8,10]=>([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,7),(3,5),(4,6),(5,7),(7,8),(7,9),(7,10),(7,11),(10,6),(11,4)],12)
[6,5,3,1,2,4,12,7,8,10,11,9]=>([(0,10),(0,11),(1,10),(1,11),(2,9),(3,6),(6,9),(7,5),(8,4),(8,7),(9,10),(9,11),(11,8)],12)
[8,5,3,7,2,1,4,6,10,9,12,11]=>([(0,9),(1,9),(2,10),(2,11),(3,5),(3,9),(4,5),(4,6),(5,10),(5,11),(6,10),(6,11),(9,6),(10,7),(10,8),(11,7),(11,8)],12)
[8,5,3,7,2,1,4,6,12,9,11,10]=>([(0,10),(0,11),(1,9),(2,9),(3,7),(3,9),(4,7),(4,8),(7,10),(7,11),(8,10),(8,11),(9,8),(11,5),(11,6)],12)
[10,5,3,7,2,9,4,1,6,8,12,11]=>([(0,11),(1,9),(1,10),(2,6),(2,11),(3,5),(3,7),(4,5),(4,6),(5,11),(6,7),(6,8),(7,9),(7,10),(8,9),(8,10),(11,8)],12)
[12,5,3,7,2,9,4,11,6,1,8,10]=>([(1,11),(2,9),(2,10),(3,8),(3,10),(4,7),(4,8),(7,11),(8,9),(8,11),(9,5),(9,6),(10,5),(10,7),(11,6)],12)
[12,5,3,7,2,10,4,1,8,6,11,9]=>([(1,10),(1,11),(2,7),(2,10),(3,5),(3,8),(4,5),(4,7),(5,10),(5,11),(7,8),(7,11),(8,9),(10,6),(10,9),(11,6),(11,9)],12)
[10,5,3,8,2,1,6,4,9,7,12,11]=>([(0,7),(0,11),(1,7),(1,11),(2,9),(2,10),(3,5),(3,11),(4,5),(4,7),(4,11),(5,8),(6,9),(6,10),(7,6),(7,8),(8,9),(8,10),(11,6),(11,8)],12)
[12,5,3,8,2,11,6,4,9,1,7,10]=>([(1,10),(2,7),(2,9),(3,5),(3,8),(3,9),(4,5),(4,7),(4,9),(5,10),(5,11),(7,8),(7,11),(9,10),(9,11),(10,6),(11,6)],12)
[12,5,3,8,2,1,11,4,6,10,7,9]=>([(1,10),(1,11),(2,10),(2,11),(3,6),(3,8),(4,6),(4,10),(5,9),(6,7),(6,9),(6,11),(8,5),(8,7),(10,8)],12)
[12,5,3,9,2,1,6,7,4,10,11,8]=>([(1,9),(1,11),(2,9),(2,11),(3,7),(3,11),(4,7),(4,9),(4,11),(6,8),(6,10),(7,10),(9,8),(9,10),(10,5),(11,6)],12)
[8,6,3,1,4,2,7,5,10,9,12,11]=>([(0,11),(1,9),(1,10),(2,5),(3,4),(3,5),(4,8),(4,11),(5,8),(5,11),(8,9),(8,10),(9,6),(9,7),(10,6),(10,7),(11,9),(11,10)],12)
[8,6,3,1,4,2,7,5,12,9,11,10]=>([(0,11),(1,9),(1,10),(2,7),(3,6),(3,7),(6,8),(6,11),(7,8),(7,11),(8,9),(8,10),(10,4),(10,5),(11,9),(11,10)],12)
[10,6,3,9,4,2,7,1,5,8,12,11]=>([(0,10),(1,10),(1,11),(2,8),(2,9),(3,6),(3,11),(4,5),(4,6),(5,10),(5,11),(6,8),(6,9),(7,8),(7,9),(10,7),(11,7)],12)
[12,6,3,9,4,2,7,11,5,1,8,10]=>([(1,6),(1,11),(2,9),(2,11),(3,10),(4,5),(4,6),(5,9),(5,11),(6,7),(6,8),(9,10),(10,8),(11,7),(11,10)],12)
[12,6,3,10,4,2,7,1,8,5,11,9]=>([(1,10),(1,11),(2,7),(2,11),(3,6),(3,10),(4,5),(4,7),(5,10),(5,11),(6,8),(6,9),(7,9),(10,8),(10,9),(11,6)],12)
[10,6,3,1,9,2,4,8,5,7,12,11]=>([(0,10),(0,11),(1,8),(1,9),(2,6),(2,7),(2,9),(3,4),(3,9),(4,8),(5,7),(6,10),(6,11),(7,10),(7,11),(8,5),(8,6),(9,10),(9,11)],12)
[12,6,3,11,9,2,4,8,5,1,7,10]=>([(1,9),(2,11),(3,6),(3,7),(3,9),(4,6),(4,7),(4,8),(4,11),(5,11),(7,10),(8,10),(9,5),(9,8),(11,10)],12)
[12,6,3,1,10,2,11,8,4,5,7,9]=>([(1,9),(1,10),(1,11),(2,7),(2,10),(2,11),(3,5),(3,10),(4,7),(5,8),(5,9),(5,11),(7,6),(9,4),(10,8),(11,6)],12)
[12,6,3,1,10,2,4,7,9,5,11,8]=>([(1,9),(1,10),(2,7),(2,10),(3,4),(3,10),(4,9),(5,11),(6,8),(6,11),(7,5),(7,8),(9,6),(9,7),(10,11)],12)
[10,7,3,1,4,5,2,8,9,6,12,11]=>([(0,11),(1,9),(1,10),(2,7),(3,4),(3,7),(4,8),(4,11),(5,9),(5,10),(6,8),(6,11),(7,6),(8,9),(8,10),(11,5)],12)
[12,7,3,11,4,5,2,8,9,1,6,10]=>([(1,10),(2,10),(2,11),(3,8),(3,11),(4,6),(4,8),(5,9),(6,7),(7,10),(7,11),(10,9),(11,5)],12)
[12,7,3,1,11,5,2,8,4,10,6,9]=>([(1,10),(1,11),(2,4),(2,8),(2,10),(3,8),(3,9),(3,10),(4,9),(4,11),(7,6),(8,7),(8,11),(9,5),(9,7),(11,5),(11,6)],12)
[12,7,3,1,4,11,2,5,9,10,6,8]=>([(1,11),(2,6),(2,11),(3,7),(3,8),(3,9),(5,9),(6,10),(8,4),(10,5),(10,8),(11,7),(11,10)],12)
[12,8,3,1,4,5,6,2,9,10,11,7]=>([(1,10),(2,11),(3,6),(3,10),(5,9),(5,11),(6,9),(6,11),(7,5),(8,4),(10,7),(11,8)],12)
[6,1,2,4,5,3,8,7,10,9,12,11]=>([(0,10),(0,11),(1,5),(2,10),(2,11),(3,10),(3,11),(4,3),(5,2),(5,4),(6,8),(6,9),(7,8),(7,9),(10,6),(10,7),(11,6),(11,7)],12)
[6,1,2,4,5,3,8,7,12,9,11,10]=>([(0,10),(0,11),(1,7),(4,10),(4,11),(5,10),(5,11),(6,5),(7,4),(7,6),(9,2),(9,3),(10,8),(10,9),(11,8),(11,9)],12)
[6,1,2,4,5,3,10,7,9,8,12,11]=>([(0,10),(0,11),(1,7),(2,10),(2,11),(3,10),(3,11),(4,8),(4,9),(5,8),(5,9),(6,3),(7,2),(7,6),(10,8),(10,9),(11,4),(11,5)],12)
[6,1,2,4,5,3,12,11,9,7,8,10]=>([(0,8),(0,9),(0,10),(0,11),(1,6),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(5,3),(6,2),(6,5),(10,7),(11,4)],12)
[6,1,2,4,5,3,12,7,8,10,11,9]=>([(0,10),(0,11),(1,8),(4,10),(4,11),(5,10),(5,11),(6,3),(7,5),(8,4),(8,7),(9,2),(9,6),(11,9)],12)
[8,7,2,4,5,1,3,6,10,9,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,6),(3,4),(3,6),(4,5),(5,9),(6,9),(9,10),(9,11),(10,7),(10,8),(11,7),(11,8)],12)
[8,7,2,4,5,1,3,6,12,9,11,10]=>([(0,10),(0,11),(1,10),(1,11),(2,8),(3,6),(3,8),(6,7),(7,9),(8,9),(9,10),(9,11),(11,4),(11,5)],12)
[10,7,2,4,5,9,3,1,6,8,12,11]=>([(0,11),(1,9),(1,10),(2,7),(2,8),(3,4),(3,5),(4,11),(5,6),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(11,7)],12)
[12,7,2,4,5,9,3,11,6,1,8,10]=>([(1,11),(2,7),(2,11),(3,4),(3,5),(4,9),(4,10),(5,6),(6,7),(6,9),(7,8),(7,10),(9,11),(11,8)],12)
[12,7,2,4,5,10,3,1,8,6,11,9]=>([(1,10),(1,11),(2,8),(2,11),(3,4),(3,5),(4,6),(5,10),(5,11),(6,8),(6,10),(6,11),(8,9),(10,7),(10,9),(11,7),(11,9)],12)
[10,8,2,4,5,1,6,3,9,7,12,11]=>([(0,11),(1,9),(1,10),(2,6),(2,7),(3,4),(3,6),(4,5),(5,7),(6,8),(6,11),(7,8),(7,11),(8,9),(8,10),(11,9),(11,10)],12)
[12,8,2,4,5,11,6,3,9,1,7,10]=>([(1,10),(2,8),(2,11),(3,4),(3,5),(4,7),(5,10),(5,11),(6,10),(6,11),(7,6),(7,8),(10,9),(11,9)],12)
[12,8,2,4,5,1,11,3,6,10,7,9]=>([(1,8),(1,11),(2,7),(2,10),(2,11),(3,5),(3,8),(4,10),(5,6),(6,9),(6,11),(8,9),(9,4),(9,7)],12)
[12,9,2,4,5,1,6,7,3,10,11,8]=>([(1,11),(2,8),(2,9),(3,4),(3,8),(4,7),(5,10),(5,11),(7,9),(8,10),(8,11),(9,5),(11,6)],12)
[8,1,7,4,2,6,3,5,10,9,12,11]=>([(0,10),(0,11),(1,2),(1,4),(1,5),(2,10),(2,11),(3,6),(4,6),(4,7),(5,3),(5,7),(6,10),(6,11),(7,10),(7,11),(10,8),(10,9),(11,8),(11,9)],12)
[8,1,7,4,2,6,3,5,12,9,11,10]=>([(0,10),(0,11),(1,4),(1,6),(1,7),(4,10),(4,11),(5,8),(6,8),(6,9),(7,5),(7,9),(8,10),(8,11),(9,10),(9,11),(11,2),(11,3)],12)
[10,9,7,4,2,6,3,1,5,8,12,11]=>([(0,10),(1,11),(2,8),(2,9),(3,8),(3,9),(4,7),(4,11),(5,6),(5,7),(6,11),(7,10),(10,8),(10,9),(11,10)],12)
[12,9,7,4,2,6,3,11,5,1,8,10]=>([(1,10),(2,10),(2,11),(3,8),(3,11),(4,7),(4,9),(5,6),(5,7),(6,9),(6,11),(7,10),(7,11),(9,10),(10,8)],12)
[12,10,7,4,2,6,3,1,8,5,11,9]=>([(1,11),(2,10),(2,11),(3,9),(4,7),(4,10),(5,6),(5,7),(6,10),(6,11),(7,11),(10,8),(10,9),(11,8),(11,9)],12)
[10,1,8,4,9,6,2,3,5,7,12,11]=>([(0,10),(0,11),(1,4),(1,5),(1,6),(2,9),(3,7),(4,8),(5,3),(6,2),(6,7),(6,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,11,8,4,9,6,2,3,5,1,7,10]=>([(2,11),(3,8),(4,6),(5,7),(5,8),(5,10),(6,10),(7,11),(8,9),(10,11),(11,9)],12)
[12,1,8,4,10,6,11,3,2,5,7,9]=>([(1,2),(1,3),(1,5),(1,6),(2,11),(3,11),(4,8),(4,10),(5,7),(5,9),(6,4),(6,7),(6,11),(7,10),(8,9),(11,8)],12)
[12,1,9,4,10,6,2,7,3,5,11,8]=>([(1,4),(1,5),(1,6),(2,9),(3,8),(4,7),(5,3),(5,9),(6,2),(6,7),(6,8),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,1,8,4,2,5,7,3,9,6,12,11]=>([(0,10),(0,11),(1,3),(1,4),(1,6),(2,9),(3,9),(4,8),(5,7),(5,9),(6,5),(6,8),(7,10),(7,11),(8,2),(8,7),(9,10),(9,11)],12)
[12,11,8,4,2,5,7,3,9,1,6,10]=>([(2,9),(3,11),(4,10),(5,7),(5,9),(6,11),(7,10),(7,11),(9,6),(9,10),(10,8),(11,8)],12)
[12,1,8,4,11,5,7,3,2,10,6,9]=>([(1,3),(1,4),(1,5),(1,7),(2,10),(2,11),(3,9),(3,11),(4,9),(4,11),(5,8),(5,10),(5,11),(6,2),(6,9),(7,6),(7,8),(9,10)],12)
[12,1,9,4,2,11,7,5,3,10,6,8]=>([(1,3),(1,4),(1,5),(2,8),(2,11),(3,10),(3,11),(4,6),(4,7),(4,10),(5,2),(5,6),(5,7),(5,10),(6,9),(6,11),(7,8),(7,11),(8,9)],12)
[12,1,9,4,2,5,6,8,3,10,11,7]=>([(1,3),(1,5),(1,7),(2,11),(3,11),(5,10),(6,9),(6,11),(7,6),(7,10),(8,2),(8,9),(10,8),(11,4)],12)
[8,1,2,3,5,6,7,4,10,9,12,11]=>([(0,10),(0,11),(1,6),(2,10),(2,11),(3,10),(3,11),(4,5),(5,2),(6,7),(7,3),(7,4),(10,8),(10,9),(11,8),(11,9)],12)
[8,1,2,3,5,6,7,4,12,9,11,10]=>([(0,10),(0,11),(1,8),(4,10),(4,11),(5,10),(5,11),(6,7),(7,5),(8,9),(9,4),(9,6),(11,2),(11,3)],12)
[10,9,2,3,5,6,7,1,4,8,12,11]=>([(0,4),(1,10),(1,11),(2,10),(2,11),(3,8),(4,7),(4,8),(5,9),(6,5),(7,6),(8,9),(9,10),(9,11)],12)
[12,9,2,3,5,6,7,11,4,1,8,10]=>([(1,11),(2,9),(2,10),(3,8),(4,11),(5,9),(5,11),(6,7),(7,5),(8,4),(8,6),(11,10)],12)
[12,10,2,3,5,6,7,1,8,4,11,9]=>([(1,4),(2,11),(3,8),(3,10),(4,7),(4,8),(5,10),(6,5),(7,6),(8,9),(8,11),(10,9),(10,11)],12)
[10,1,9,3,5,6,2,8,4,7,12,11]=>([(0,10),(0,11),(1,2),(1,4),(1,6),(2,10),(2,11),(3,8),(3,9),(4,7),(4,8),(5,3),(6,5),(6,7),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,11,9,3,5,6,2,8,4,1,7,10]=>([(2,11),(3,10),(4,8),(4,9),(5,6),(5,9),(6,7),(7,8),(7,10),(8,11),(9,10),(10,11)],12)
[12,1,10,3,5,6,11,8,2,4,7,9]=>([(1,3),(1,4),(1,7),(2,10),(3,8),(4,9),(5,6),(6,2),(6,9),(6,11),(7,5),(7,8),(8,11),(11,10)],12)
[12,1,10,3,5,6,2,7,9,4,11,8]=>([(1,4),(1,5),(1,7),(2,10),(3,11),(4,11),(5,8),(5,10),(6,2),(7,6),(7,8),(8,9),(8,11),(10,3),(10,9)],12)
[10,1,2,9,5,3,7,8,4,6,12,11]=>([(0,10),(0,11),(1,7),(2,10),(2,11),(3,10),(3,11),(4,8),(4,9),(5,8),(6,5),(6,9),(7,3),(7,4),(7,6),(8,10),(8,11),(9,2)],12)
[12,11,2,9,5,3,7,8,4,1,6,10]=>([(2,11),(3,5),(3,6),(3,8),(4,11),(5,10),(6,9),(6,11),(7,10),(8,4),(8,9),(9,7),(11,10)],12)
[12,1,11,10,5,3,7,8,2,4,6,9]=>([(1,2),(1,3),(1,4),(1,5),(1,7),(4,8),(5,8),(5,11),(6,9),(7,10),(7,11),(8,10),(10,9),(11,6)],12)
[12,1,2,10,5,11,7,3,9,4,6,8]=>([(1,7),(2,10),(2,11),(3,8),(4,9),(5,4),(5,10),(6,2),(6,8),(6,9),(7,3),(7,5),(7,6),(9,11)],12)
[12,1,2,10,5,3,6,8,9,4,11,7]=>([(1,8),(2,11),(3,11),(4,10),(4,11),(5,9),(6,4),(6,9),(7,2),(8,3),(8,5),(8,6),(9,7),(9,10)],12)
[10,1,2,3,4,6,7,8,9,5,12,11]=>([(0,10),(0,11),(1,8),(2,10),(2,11),(3,10),(3,11),(4,7),(5,9),(6,4),(7,2),(8,5),(9,3),(9,6)],12)
[12,11,2,3,4,6,7,8,9,1,5,10]=>([(2,11),(3,9),(4,10),(5,6),(6,8),(7,5),(7,11),(8,4),(9,7),(11,10)],12)
[12,1,11,3,4,6,7,8,2,10,5,9]=>([(1,2),(1,4),(1,7),(3,9),(3,11),(4,9),(4,10),(5,6),(6,3),(7,8),(8,5),(8,10),(10,11)],12)
[12,1,2,11,4,6,7,3,9,10,5,8]=>([(1,8),(4,10),(4,11),(5,9),(5,11),(6,4),(7,6),(7,9),(8,3),(8,5),(8,7),(9,10),(11,2)],12)
[12,1,2,3,11,6,4,8,9,10,5,7]=>([(1,6),(4,10),(5,10),(5,11),(6,9),(7,4),(7,11),(8,2),(9,3),(9,5),(9,7),(11,8)],12)
[2,1,4,3,6,5,8,7,12,9,10,11]=>([(0,10),(0,11),(1,10),(1,11),(2,3),(5,2),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)
[2,1,4,3,6,5,10,7,8,9,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,3),(3,4),(3,5),(6,2),(7,6),(7,9),(8,6),(8,9),(9,4),(9,5),(10,7),(10,8),(11,7),(11,8)],12)
[2,1,4,3,6,5,12,11,8,7,10,9]=>([(0,8),(0,9),(1,8),(1,9),(6,4),(6,5),(7,4),(7,5),(8,10),(8,11),(9,10),(9,11),(10,2),(10,3),(10,6),(10,7),(11,2),(11,3),(11,6),(11,7)],12)
[2,1,4,3,6,5,12,7,8,9,10,11]=>([(0,10),(0,11),(1,10),(1,11),(2,5),(4,3),(5,4),(7,2),(8,6),(8,7),(9,6),(9,7),(10,8),(10,9),(11,8),(11,9)],12)
[2,1,4,3,8,5,6,7,10,9,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,3),(3,8),(3,9),(6,2),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)
[2,1,4,3,8,5,6,7,12,9,10,11]=>([(0,10),(0,11),(1,10),(1,11),(2,4),(3,5),(5,6),(5,8),(7,3),(8,2),(9,6),(9,8),(10,7),(10,9),(11,7),(11,9)],12)
[2,1,4,3,10,9,6,5,8,7,12,11]=>([(0,8),(0,9),(1,8),(1,9),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,4),(6,5),(7,4),(7,5),(8,2),(8,3),(8,6),(8,7),(9,2),(9,3),(9,6),(9,7)],12)
[2,1,4,3,12,9,6,11,8,5,10,7]=>([(0,9),(0,10),(1,9),(1,10),(2,11),(6,5),(6,11),(7,4),(7,11),(8,2),(8,4),(8,5),(9,3),(9,6),(9,7),(9,8),(10,3),(10,6),(10,7),(10,8)],12)
[2,1,4,3,12,11,6,5,8,9,10,7]=>([(0,10),(0,11),(1,10),(1,11),(2,3),(7,2),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(10,8),(10,9),(11,4),(11,5),(11,8),(11,9)],12)
[2,1,4,3,10,5,6,7,8,9,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,4),(3,5),(4,3),(5,7),(5,8),(6,2),(9,7),(9,8),(10,6),(10,9),(11,6),(11,9)],12)
[2,1,4,3,12,11,6,7,8,5,10,9]=>([(0,10),(0,11),(1,10),(1,11),(2,3),(3,6),(3,7),(8,2),(9,6),(9,7),(10,4),(10,5),(10,8),(10,9),(11,4),(11,5),(11,8),(11,9)],12)
[2,1,4,3,12,5,10,7,6,9,8,11]=>([(0,9),(0,10),(1,9),(1,10),(2,11),(3,7),(3,8),(4,7),(4,8),(6,2),(6,3),(6,4),(7,11),(8,11),(9,5),(9,6),(10,5),(10,6)],12)
[2,1,4,3,12,5,6,7,8,9,10,11]=>([(0,9),(0,10),(1,9),(1,10),(3,5),(4,3),(5,7),(6,4),(7,2),(9,8),(9,11),(10,8),(10,11),(11,6)],12)
[2,1,6,3,4,5,8,7,10,9,12,11]=>([(0,6),(0,11),(1,6),(1,11),(2,3),(3,9),(3,10),(6,2),(7,4),(7,5),(8,4),(8,5),(9,7),(9,8),(10,7),(10,8),(11,9),(11,10)],12)
[2,1,6,3,4,5,8,7,12,9,10,11]=>([(0,8),(0,11),(1,8),(1,11),(2,4),(3,5),(5,9),(5,10),(7,2),(8,3),(9,6),(9,7),(10,6),(10,7),(11,9),(11,10)],12)
[2,1,6,3,4,5,10,7,8,9,12,11]=>([(0,9),(0,11),(1,9),(1,11),(2,4),(3,5),(4,6),(4,7),(5,8),(5,10),(8,2),(9,3),(10,6),(10,7),(11,8),(11,10)],12)
[2,1,6,3,4,5,12,11,8,7,10,9]=>([(0,8),(0,11),(1,8),(1,11),(2,3),(3,6),(3,7),(3,9),(3,10),(8,2),(9,4),(9,5),(10,4),(10,5),(11,6),(11,7),(11,9),(11,10)],12)
[2,1,6,3,4,5,12,7,8,9,10,11]=>([(0,9),(0,11),(1,9),(1,11),(3,8),(3,10),(4,7),(5,3),(6,4),(7,2),(9,8),(9,10),(10,6),(11,5)],12)
[2,1,8,7,4,3,6,5,10,9,12,11]=>([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,10),(2,11),(3,10),(3,11),(6,10),(6,11),(7,10),(7,11),(8,2),(8,3),(9,2),(9,3),(10,4),(10,5),(11,4),(11,5)],12)
[2,1,8,7,4,3,6,5,12,9,10,11]=>([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,3),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,4),(8,5),(9,4),(9,5),(11,2)],12)
[2,1,10,7,4,9,6,3,8,5,12,11]=>([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,9),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,4),(6,9),(7,3),(7,9),(8,2),(8,3),(8,4),(9,10),(9,11)],12)
[2,1,12,7,4,9,6,11,8,3,10,5]=>([(0,6),(0,8),(0,9),(0,10),(1,6),(1,8),(1,9),(1,10),(2,4),(2,5),(5,11),(7,4),(7,11),(8,3),(8,11),(9,5),(9,7),(10,2),(10,3),(10,7)],12)
[2,1,12,7,4,11,6,3,8,9,10,5]=>([(0,7),(0,8),(0,9),(0,10),(1,7),(1,8),(1,9),(1,10),(2,11),(3,4),(8,6),(8,11),(9,5),(9,11),(10,2),(10,5),(10,6),(11,3)],12)
[2,1,10,9,4,3,6,7,8,5,12,11]=>([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,3),(3,10),(3,11),(4,10),(4,11),(5,2),(6,10),(6,11),(7,10),(7,11),(8,4),(8,5),(9,4),(9,5)],12)
[2,1,12,9,4,11,6,7,8,3,10,5]=>([(0,7),(0,8),(0,9),(0,10),(1,7),(1,8),(1,9),(1,10),(2,4),(3,11),(4,3),(8,6),(8,11),(9,5),(9,11),(10,2),(10,5),(10,6)],12)
[2,1,12,11,4,3,10,7,6,9,8,5]=>([(0,6),(0,7),(0,10),(0,11),(1,6),(1,7),(1,10),(1,11),(8,4),(8,5),(9,4),(9,5),(10,2),(10,3),(10,8),(10,9),(11,2),(11,3),(11,8),(11,9)],12)
[2,1,12,11,4,3,6,7,8,9,10,5]=>([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,5),(4,3),(5,4),(7,2),(10,6),(10,7),(11,6),(11,7)],12)
[2,1,8,3,4,5,6,7,10,9,12,11]=>([(0,8),(0,11),(1,8),(1,11),(2,4),(3,5),(4,3),(5,9),(5,10),(8,2),(9,6),(9,7),(10,6),(10,7),(11,9),(11,10)],12)
[2,1,8,3,4,5,6,7,12,9,10,11]=>([(0,9),(0,11),(1,9),(1,11),(3,8),(3,10),(4,5),(5,3),(6,4),(7,2),(9,8),(9,10),(10,7),(11,6)],12)
[2,1,10,9,4,5,6,3,8,7,12,11]=>([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,3),(3,4),(3,5),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,2),(9,4),(9,5)],12)
[2,1,12,9,4,5,6,11,8,3,10,7]=>([(0,7),(0,8),(0,9),(0,10),(1,7),(1,8),(1,9),(1,10),(2,4),(3,11),(4,3),(4,5),(4,6),(8,2),(9,6),(9,11),(10,5),(10,11)],12)
[2,1,12,11,4,5,6,3,8,9,10,7]=>([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,4),(3,5),(5,6),(5,7),(7,2),(10,3),(11,6),(11,7)],12)
[2,1,10,3,8,5,4,7,6,9,12,11]=>([(0,9),(0,10),(1,9),(1,10),(2,11),(3,7),(3,8),(4,7),(4,8),(7,11),(8,11),(9,2),(9,3),(9,4),(10,5),(10,6),(11,5),(11,6)],12)
[2,1,12,11,8,5,4,7,6,3,10,9]=>([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,10),(2,11),(3,10),(3,11),(6,10),(6,11),(7,10),(7,11),(8,2),(8,3),(9,2),(9,3)],12)
[2,1,12,3,8,5,10,7,4,9,6,11]=>([(0,8),(0,9),(1,8),(1,9),(2,10),(3,7),(3,10),(4,6),(4,10),(5,2),(5,6),(5,7),(6,11),(7,11),(9,3),(9,4),(9,5),(10,11)],12)
[2,1,12,3,10,5,4,7,8,9,6,11]=>([(0,9),(0,10),(1,9),(1,10),(2,11),(3,11),(4,7),(4,8),(5,7),(5,8),(6,3),(7,6),(8,11),(10,2),(10,4),(10,5)],12)
[2,1,10,3,4,5,6,7,8,9,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,8),(2,9),(3,5),(4,3),(5,7),(6,4),(7,2),(10,8),(10,9),(11,6)],12)
[2,1,12,11,4,5,6,7,8,3,10,9]=>([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,4),(3,5),(4,3),(5,6),(5,7),(10,2),(11,6),(11,7)],12)
[2,1,12,3,10,5,6,7,4,9,8,11]=>([(0,9),(0,10),(1,9),(1,10),(2,11),(3,7),(3,8),(4,7),(4,8),(5,6),(6,4),(7,11),(8,11),(10,2),(10,3),(10,5)],12)
[2,1,12,3,4,9,6,5,8,7,10,11]=>([(0,9),(0,10),(1,9),(1,10),(2,11),(4,7),(4,8),(5,7),(5,8),(6,2),(6,4),(6,5),(7,11),(8,11),(10,6),(11,3)],12)
[2,1,12,3,4,5,6,7,8,9,10,11]=>([(0,10),(0,11),(1,10),(1,11),(3,5),(4,3),(5,7),(6,4),(7,9),(8,6),(9,2),(11,8)],12)
[4,1,2,3,6,5,8,7,10,9,12,11]=>([(0,2),(1,10),(1,11),(2,3),(3,10),(3,11),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)
[4,1,2,3,6,5,8,7,12,9,10,11]=>([(0,4),(1,10),(1,11),(2,3),(4,5),(5,10),(5,11),(7,2),(8,6),(8,7),(9,6),(9,7),(10,8),(10,9),(11,8),(11,9)],12)
[4,1,2,3,6,5,10,7,8,9,12,11]=>([(0,3),(1,10),(1,11),(2,5),(3,4),(4,10),(4,11),(5,6),(5,7),(8,2),(9,6),(9,7),(10,8),(10,9),(11,8),(11,9)],12)
[4,1,2,3,6,5,12,11,8,7,10,9]=>([(0,2),(1,10),(1,11),(2,3),(3,10),(3,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(10,8),(10,9),(11,4),(11,5),(11,8),(11,9)],12)
[4,1,2,3,6,5,12,7,8,9,10,11]=>([(0,9),(0,10),(1,7),(3,9),(3,10),(4,6),(5,4),(6,2),(7,3),(9,8),(9,11),(10,8),(10,11),(11,5)],12)
[4,1,2,3,8,5,6,7,10,9,12,11]=>([(0,3),(1,8),(1,11),(2,5),(3,4),(4,8),(4,11),(5,9),(5,10),(8,2),(9,6),(9,7),(10,6),(10,7),(11,9),(11,10)],12)
[4,1,2,3,8,5,6,7,12,9,10,11]=>([(0,10),(0,11),(1,6),(3,10),(3,11),(4,8),(4,9),(5,4),(6,3),(7,2),(9,7),(10,5),(11,8),(11,9)],12)
[4,1,2,3,10,9,6,5,8,7,12,11]=>([(0,2),(1,6),(1,7),(1,8),(1,9),(2,3),(3,6),(3,7),(3,8),(3,9),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,4),(8,5),(9,4),(9,5)],12)
[4,1,2,3,12,9,6,11,8,5,10,7]=>([(0,3),(1,7),(1,8),(1,9),(1,10),(2,11),(3,4),(4,7),(4,8),(4,9),(4,10),(8,6),(8,11),(9,5),(9,11),(10,2),(10,5),(10,6)],12)
[4,1,2,3,12,11,6,5,8,9,10,7]=>([(0,4),(1,7),(1,8),(1,10),(1,11),(2,3),(4,5),(5,7),(5,8),(5,10),(5,11),(9,2),(10,6),(10,9),(11,6),(11,9)],12)
[4,1,2,3,10,5,6,7,8,9,12,11]=>([(0,10),(0,11),(1,7),(2,10),(2,11),(3,8),(3,9),(4,5),(5,3),(6,4),(7,2),(10,8),(10,9),(11,6)],12)
[4,1,2,3,12,11,6,7,8,5,10,9]=>([(0,3),(1,8),(1,9),(1,10),(1,11),(2,4),(3,5),(4,6),(4,7),(5,8),(5,9),(5,10),(5,11),(10,2),(11,6),(11,7)],12)
[4,1,2,3,12,5,10,7,6,9,8,11]=>([(0,9),(0,10),(1,6),(2,9),(2,10),(3,11),(4,7),(4,8),(5,7),(5,8),(6,2),(7,11),(8,11),(10,3),(10,4),(10,5)],12)
[4,1,2,3,12,5,6,7,8,9,10,11]=>([(0,10),(0,11),(1,9),(3,10),(3,11),(4,6),(5,4),(6,8),(7,5),(8,2),(9,3),(11,7)],12)
[6,5,2,1,4,3,8,7,10,9,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,6),(2,7),(3,6),(3,7),(6,10),(6,11),(7,10),(7,11),(8,4),(8,5),(9,4),(9,5),(10,8),(10,9),(11,8),(11,9)],12)
[6,5,2,1,4,3,8,7,12,9,10,11]=>([(0,10),(0,11),(1,10),(1,11),(2,6),(2,7),(3,6),(3,7),(4,5),(6,10),(6,11),(7,10),(7,11),(9,4),(10,8),(10,9),(11,8),(11,9)],12)
[6,5,2,1,4,3,10,7,8,9,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,6),(2,7),(3,6),(3,7),(4,5),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(10,8),(10,9),(11,4)],12)
[6,5,2,1,4,3,12,7,8,9,10,11]=>([(0,10),(0,11),(1,10),(1,11),(2,8),(2,9),(3,8),(3,9),(4,7),(6,5),(7,6),(8,10),(8,11),(9,10),(9,11),(11,4)],12)
[8,5,2,7,4,1,6,3,10,9,12,11]=>([(0,10),(0,11),(1,6),(1,9),(2,5),(2,9),(3,4),(3,5),(3,6),(4,9),(5,10),(5,11),(6,10),(6,11),(9,10),(9,11),(10,7),(10,8),(11,7),(11,8)],12)
[8,5,2,7,4,1,6,3,12,9,10,11]=>([(0,10),(0,11),(1,8),(1,9),(2,7),(2,9),(3,5),(3,7),(3,8),(4,6),(5,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(11,4)],12)
[10,5,2,7,4,9,6,1,8,3,12,11]=>([(0,10),(0,11),(1,6),(1,7),(2,5),(2,9),(3,4),(3,5),(3,6),(4,7),(4,8),(5,10),(5,11),(6,8),(6,9),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,5,2,7,4,9,6,11,8,1,10,3]=>([(1,7),(1,11),(2,9),(2,10),(3,4),(3,7),(3,10),(4,8),(4,9),(6,11),(8,5),(8,11),(9,5),(9,6),(10,6),(10,8)],12)
[12,5,2,7,4,11,6,1,8,9,10,3]=>([(1,8),(1,9),(2,7),(2,11),(3,4),(3,7),(3,8),(4,9),(4,10),(5,6),(8,10),(8,11),(9,11),(11,5)],12)
[10,5,2,9,4,1,6,7,8,3,12,11]=>([(0,10),(0,11),(1,8),(1,9),(2,7),(2,9),(3,4),(3,7),(3,8),(4,9),(5,6),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,5)],12)
[12,5,2,9,4,11,6,7,8,1,10,3]=>([(1,8),(1,10),(2,7),(2,11),(3,4),(3,7),(3,8),(4,9),(4,10),(5,6),(6,11),(8,9),(8,11),(10,5)],12)
[12,5,2,11,4,1,10,7,6,9,8,3]=>([(1,6),(1,9),(1,10),(1,11),(2,5),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(4,9),(4,10),(4,11),(10,7),(10,8),(11,7),(11,8)],12)
[12,5,2,11,4,1,6,7,8,9,10,3]=>([(1,10),(1,11),(2,9),(2,11),(3,5),(3,9),(3,10),(5,11),(6,7),(7,4),(8,6),(11,8)],12)
[8,7,2,1,4,5,6,3,10,9,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,6),(2,9),(3,6),(3,9),(4,5),(5,10),(5,11),(6,10),(6,11),(9,4),(10,7),(10,8),(11,7),(11,8)],12)
[8,7,2,1,4,5,6,3,12,9,10,11]=>([(0,10),(0,11),(1,10),(1,11),(2,8),(2,9),(3,8),(3,9),(4,7),(5,6),(7,10),(7,11),(8,10),(8,11),(9,4),(11,5)],12)
[10,7,2,9,4,5,6,1,8,3,12,11]=>([(0,10),(0,11),(1,8),(1,9),(2,7),(2,9),(3,4),(3,7),(3,8),(4,6),(5,9),(6,5),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[12,7,2,9,4,5,6,11,8,1,10,3]=>([(1,8),(1,9),(2,7),(2,11),(3,4),(3,7),(3,8),(4,6),(5,9),(5,10),(6,5),(8,10),(8,11),(9,11)],12)
[12,7,2,11,4,5,6,1,8,9,10,3]=>([(1,10),(1,11),(2,9),(2,11),(3,7),(3,9),(3,10),(5,11),(6,5),(7,6),(8,4),(11,8)],12)
[10,9,2,1,8,5,4,7,6,3,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,4),(8,5),(9,4),(9,5)],12)
[12,9,2,11,8,5,4,7,6,1,10,3]=>([(1,8),(1,11),(2,7),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(4,9),(4,10),(5,9),(5,10),(6,11),(9,11),(10,11)],12)
[12,11,2,1,8,5,10,7,4,9,6,3]=>([(2,7),(2,8),(2,9),(2,10),(3,7),(3,8),(3,9),(3,10),(4,11),(8,6),(8,11),(9,5),(9,11),(10,4),(10,5),(10,6)],12)
[12,11,2,1,10,5,4,7,8,9,6,3]=>([(2,7),(2,8),(2,10),(2,11),(3,7),(3,8),(3,10),(3,11),(4,5),(9,4),(10,6),(10,9),(11,6),(11,9)],12)
[10,9,2,1,4,5,6,7,8,3,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,8),(2,9),(3,8),(3,9),(4,7),(5,10),(5,11),(6,5),(7,6),(8,4),(9,10),(9,11)],12)
[12,9,2,11,4,5,6,7,8,1,10,3]=>([(1,10),(1,11),(2,9),(2,11),(3,8),(3,9),(3,10),(4,11),(5,7),(6,5),(7,4),(8,6)],12)
[12,11,2,1,10,5,6,7,4,9,8,3]=>([(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(5,6),(5,7),(10,4),(11,6),(11,7)],12)
[12,11,2,1,4,9,6,5,8,7,10,3]=>([(2,7),(2,8),(3,7),(3,8),(4,9),(4,10),(5,9),(5,10),(6,11),(8,4),(8,5),(8,6),(9,11),(10,11)],12)
[12,11,2,1,4,5,6,7,8,9,10,3]=>([(2,10),(2,11),(3,10),(3,11),(5,7),(6,5),(7,9),(8,6),(9,4),(11,8)],12)
[6,1,2,3,4,5,8,7,10,9,12,11]=>([(0,4),(1,10),(1,11),(2,3),(3,5),(4,2),(5,10),(5,11),(8,6),(8,7),(9,6),(9,7),(10,8),(10,9),(11,8),(11,9)],12)
[6,1,2,3,4,5,8,7,12,9,10,11]=>([(0,9),(0,10),(1,7),(3,9),(3,10),(4,5),(5,3),(6,2),(7,4),(9,8),(9,11),(10,8),(10,11),(11,6)],12)
[6,1,2,3,4,5,10,7,8,9,12,11]=>([(0,10),(0,11),(1,7),(2,10),(2,11),(3,8),(3,9),(4,6),(5,3),(6,2),(7,4),(10,8),(10,9),(11,5)],12)
[6,1,2,3,4,5,12,11,8,7,10,9]=>([(0,4),(1,8),(1,9),(1,10),(1,11),(2,3),(3,5),(4,2),(5,8),(5,9),(5,10),(5,11),(10,6),(10,7),(11,6),(11,7)],12)
[6,1,2,3,4,5,12,7,8,9,10,11]=>([(0,10),(0,11),(1,9),(3,10),(3,11),(4,8),(5,6),(6,3),(7,4),(8,2),(9,5),(11,7)],12)
[8,7,2,3,4,1,6,5,10,9,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7),(6,10),(6,11),(7,10),(7,11),(10,8),(10,9),(11,8),(11,9)],12)
[8,7,2,3,4,1,6,5,12,9,10,11]=>([(0,10),(0,11),(1,10),(1,11),(2,8),(2,9),(3,4),(4,7),(5,6),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11),(11,5)],12)
[10,7,2,3,4,9,6,1,8,5,12,11]=>([(0,4),(1,10),(1,11),(2,8),(2,9),(3,7),(3,9),(4,6),(5,9),(6,5),(6,7),(6,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[12,7,2,3,4,9,6,11,8,1,10,5]=>([(1,4),(2,7),(2,11),(3,8),(3,9),(4,6),(5,8),(5,10),(6,5),(6,7),(6,9),(8,11),(9,10),(9,11)],12)
[12,7,2,3,4,11,6,1,8,9,10,5]=>([(1,10),(1,11),(2,9),(2,11),(3,6),(5,11),(6,8),(7,4),(8,5),(8,9),(8,10),(11,7)],12)
[10,9,2,3,4,1,6,7,8,5,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,8),(2,9),(3,4),(4,7),(5,6),(6,10),(6,11),(7,8),(7,9),(8,10),(8,11),(9,5)],12)
[12,9,2,3,4,11,6,7,8,1,10,5]=>([(1,10),(1,11),(2,9),(2,11),(3,7),(4,11),(5,6),(6,4),(7,8),(8,5),(8,9),(8,10)],12)
[12,11,2,3,4,1,10,7,6,9,8,5]=>([(2,4),(3,8),(3,9),(3,10),(3,11),(4,5),(5,8),(5,9),(5,10),(5,11),(10,6),(10,7),(11,6),(11,7)],12)
[12,11,2,3,4,1,6,7,8,9,10,5]=>([(2,10),(2,11),(3,9),(5,10),(5,11),(6,8),(7,6),(8,4),(9,5),(11,7)],12)
[8,1,6,3,2,5,4,7,10,9,12,11]=>([(0,2),(0,3),(0,4),(1,9),(1,10),(2,11),(3,7),(3,8),(4,7),(4,8),(7,11),(8,11),(9,5),(9,6),(10,5),(10,6),(11,9),(11,10)],12)
[8,1,6,3,2,5,4,7,12,9,10,11]=>([(0,9),(0,10),(1,3),(1,4),(1,5),(3,11),(4,7),(4,8),(5,7),(5,8),(6,2),(7,11),(8,11),(10,6),(11,9),(11,10)],12)
[10,9,6,3,2,5,4,1,8,7,12,11]=>([(0,10),(0,11),(1,10),(1,11),(2,8),(2,9),(3,8),(3,9),(4,6),(4,7),(5,6),(5,7),(6,10),(6,11),(7,10),(7,11),(10,8),(10,9),(11,8),(11,9)],12)
[12,9,6,3,2,5,4,11,8,1,10,7]=>([(1,9),(1,10),(1,11),(2,8),(2,11),(3,8),(3,10),(4,6),(4,7),(5,6),(5,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(9,8)],12)
[12,11,6,3,2,5,4,1,8,9,10,7]=>([(2,10),(2,11),(3,10),(3,11),(4,8),(4,9),(5,8),(5,9),(6,7),(8,10),(8,11),(9,10),(9,11),(11,6)],12)
[10,1,6,3,8,5,2,7,4,9,12,11]=>([(0,8),(0,9),(1,3),(1,4),(1,5),(2,10),(3,7),(3,10),(4,6),(4,10),(5,2),(5,6),(5,7),(6,11),(7,11),(10,11),(11,8),(11,9)],12)
[12,11,6,3,8,5,2,7,4,1,10,9]=>([(2,10),(2,11),(3,8),(3,9),(4,7),(4,9),(5,6),(5,7),(5,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[12,1,6,3,8,5,10,7,2,9,4,11]=>([(1,3),(1,4),(1,5),(2,6),(2,9),(3,8),(3,11),(4,6),(4,7),(5,2),(5,7),(5,8),(6,11),(7,9),(7,11),(8,10),(9,10),(11,10)],12)
[12,1,6,3,10,5,2,7,8,9,4,11]=>([(1,4),(1,5),(1,7),(2,11),(3,10),(4,9),(4,10),(5,8),(5,10),(6,2),(7,3),(7,8),(7,9),(8,11),(9,11),(10,6)],12)
[10,1,8,3,2,5,6,7,4,9,12,11]=>([(0,9),(0,10),(1,3),(1,4),(1,5),(2,11),(3,11),(4,7),(4,8),(5,7),(5,8),(6,2),(7,6),(8,11),(11,9),(11,10)],12)
[12,11,8,3,2,5,6,7,4,1,10,9]=>([(2,10),(2,11),(3,10),(3,11),(4,8),(4,9),(5,8),(5,9),(6,7),(7,10),(7,11),(8,10),(8,11),(9,6)],12)
[12,1,8,3,10,5,6,7,2,9,4,11]=>([(1,3),(1,4),(1,7),(2,10),(3,9),(3,10),(4,8),(4,10),(5,6),(6,2),(7,5),(7,8),(7,9),(8,11),(9,11),(10,11)],12)
[12,1,10,3,2,9,6,5,8,7,4,11]=>([(1,2),(1,3),(1,4),(2,11),(3,7),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,11),(6,11),(7,11),(8,11),(9,5),(9,6),(10,5),(10,6)],12)
[12,1,10,3,2,5,6,7,8,9,4,11]=>([(1,3),(1,4),(1,5),(2,11),(3,11),(4,9),(4,10),(5,9),(5,10),(6,7),(7,2),(8,6),(9,8),(10,11)],12)
[8,1,2,3,4,5,6,7,10,9,12,11]=>([(0,10),(0,11),(1,7),(2,10),(2,11),(3,4),(4,6),(5,3),(6,2),(7,5),(10,8),(10,9),(11,8),(11,9)],12)
[8,1,2,3,4,5,6,7,12,9,10,11]=>([(0,10),(0,11),(1,9),(3,10),(3,11),(4,5),(5,7),(6,4),(7,3),(8,2),(9,6),(11,8)],12)
[10,9,2,3,4,5,6,1,8,7,12,11]=>([(0,4),(1,10),(1,11),(2,10),(2,11),(3,8),(3,9),(4,7),(5,8),(5,9),(6,5),(7,6),(8,10),(8,11),(9,10),(9,11)],12)
[12,9,2,3,4,5,6,11,8,1,10,7]=>([(1,10),(1,11),(2,9),(2,11),(3,7),(4,11),(5,6),(6,8),(7,5),(8,4),(8,9),(8,10)],12)
[12,11,2,3,4,5,6,1,8,9,10,7]=>([(2,10),(2,11),(3,9),(5,10),(5,11),(6,7),(7,5),(8,4),(9,6),(11,8)],12)
[10,1,8,3,4,5,2,7,6,9,12,11]=>([(0,9),(0,10),(1,2),(1,4),(1,6),(2,11),(3,7),(3,8),(4,7),(4,8),(5,3),(6,5),(7,11),(8,11),(11,9),(11,10)],12)
[12,11,8,3,4,5,2,7,6,1,10,9]=>([(2,10),(2,11),(3,10),(3,11),(4,8),(4,9),(5,6),(6,7),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,1,8,3,4,5,10,7,2,9,6,11]=>([(1,3),(1,4),(1,6),(2,10),(3,9),(3,10),(4,8),(4,10),(5,7),(6,5),(7,2),(7,8),(7,9),(8,11),(9,11),(10,11)],12)
[12,1,10,3,4,5,2,7,8,9,6,11]=>([(1,3),(1,5),(1,7),(2,11),(3,11),(4,9),(4,10),(5,9),(5,10),(6,4),(7,6),(8,2),(9,8),(10,11)],12)
[10,1,2,7,4,3,6,5,8,9,12,11]=>([(0,9),(0,10),(1,6),(2,11),(3,9),(3,10),(4,7),(4,8),(5,7),(5,8),(6,2),(6,4),(6,5),(7,11),(8,11),(11,3)],12)
[12,11,2,7,4,3,6,5,8,1,10,9]=>([(2,7),(2,8),(3,4),(3,5),(3,6),(4,9),(4,10),(5,9),(5,10),(6,11),(9,11),(10,11),(11,7),(11,8)],12)
[12,1,10,7,4,3,6,5,2,9,8,11]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(2,10),(2,11),(3,10),(3,11),(4,9),(5,7),(5,8),(6,7),(6,8),(7,10),(7,11),(8,10),(8,11),(10,9),(11,9)],12)
[12,1,2,7,4,9,6,3,8,5,10,11]=>([(1,7),(3,10),(4,9),(4,10),(5,8),(5,10),(6,3),(6,8),(6,9),(7,4),(7,5),(7,6),(8,11),(9,11),(10,11),(11,2)],12)
[12,1,2,9,4,3,6,7,8,5,10,11]=>([(1,8),(2,11),(3,11),(5,9),(5,10),(6,9),(6,10),(7,3),(8,2),(8,5),(8,6),(9,7),(10,11),(11,4)],12)
[10,1,2,3,4,5,6,7,8,9,12,11]=>([(0,10),(0,11),(1,9),(2,10),(2,11),(3,4),(4,6),(5,3),(6,8),(7,5),(8,2),(9,7)],12)
[12,11,2,3,4,5,6,7,8,1,10,9]=>([(2,10),(2,11),(3,9),(4,10),(4,11),(5,6),(6,8),(7,5),(8,4),(9,7)],12)
[12,1,10,3,4,5,6,7,2,9,8,11]=>([(1,2),(1,4),(1,8),(2,11),(3,9),(3,10),(4,9),(4,10),(5,7),(6,5),(7,3),(8,6),(9,11),(10,11)],12)
[12,1,2,9,4,5,6,3,8,7,10,11]=>([(1,8),(2,11),(4,9),(4,10),(5,9),(5,10),(6,7),(7,5),(8,2),(8,4),(8,6),(9,11),(10,11),(11,3)],12)
[12,1,2,3,8,5,4,7,6,9,10,11]=>([(1,6),(3,11),(4,9),(4,10),(5,9),(5,10),(6,8),(7,2),(8,3),(8,4),(8,5),(9,11),(10,11),(11,7)],12)
[12,1,2,3,4,5,6,7,8,9,10,11]=>([(1,11),(3,4),(4,6),(5,3),(6,8),(7,5),(8,10),(9,7),(10,2),(11,9)],12)
[2,1,4,3,6,5,12,7,9,8,11,10]=>([(0,10),(0,11),(1,10),(1,11),(2,6),(2,7),(3,6),(3,7),(5,2),(5,3),(8,4),(8,5),(9,4),(9,5),(10,8),(10,9),(11,8),(11,9)],12)
[2,1,4,3,6,5,11,8,12,7,10,9]=>([(0,7),(0,8),(1,7),(1,8),(5,4),(6,2),(6,3),(7,10),(7,11),(8,10),(8,11),(9,2),(9,3),(9,4),(10,5),(10,6),(10,9),(11,5),(11,6),(11,9)],12)
[2,1,4,3,10,5,7,6,9,8,12,11]=>([(0,8),(0,9),(1,8),(1,9),(2,6),(2,7),(3,6),(3,7),(4,10),(4,11),(5,2),(5,3),(6,10),(6,11),(7,10),(7,11),(8,4),(8,5),(9,4),(9,5)],12)
[2,1,4,3,12,5,7,6,9,8,11,10]=>([(0,10),(0,11),(1,10),(1,11),(2,8),(2,9),(3,8),(3,9),(7,2),(7,3),(8,5),(8,6),(9,5),(9,6),(10,4),(10,7),(11,4),(11,7)],12)
[2,1,4,3,11,8,12,5,7,6,10,9]=>([(0,8),(0,9),(1,8),(1,9),(2,10),(2,11),(3,10),(3,11),(5,2),(5,3),(6,4),(7,4),(7,10),(7,11),(8,5),(8,6),(8,7),(9,5),(9,6),(9,7)],12)
[2,1,4,3,9,6,10,5,8,7,12,11]=>([(0,8),(0,9),(1,8),(1,9),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,4),(6,2),(6,3),(7,2),(7,3),(7,4),(8,5),(8,6),(8,7),(9,5),(9,6),(9,7)],12)
[2,1,4,3,9,6,12,5,8,7,11,10]=>([(0,8),(0,9),(1,8),(1,9),(3,10),(3,11),(4,10),(4,11),(5,2),(5,10),(5,11),(6,3),(6,4),(7,2),(7,3),(7,4),(8,5),(8,6),(8,7),(9,5),(9,6),(9,7)],12)
[2,1,4,3,12,5,8,7,11,6,10,9]=>([(0,8),(0,9),(1,8),(1,9),(2,10),(2,11),(3,7),(3,10),(3,11),(4,7),(4,10),(4,11),(6,2),(6,3),(6,4),(8,5),(8,6),(9,5),(9,6)],12)
[2,1,4,3,11,6,10,7,12,5,9,8]=>([(0,9),(0,10),(1,9),(1,10),(2,11),(3,4),(3,5),(3,11),(6,11),(7,2),(7,3),(8,4),(8,5),(9,6),(9,7),(9,8),(10,6),(10,7),(10,8)],12)
[2,1,6,3,5,4,12,7,9,8,11,10]=>([(0,8),(0,9),(1,8),(1,9),(2,10),(2,11),(3,10),(3,11),(4,6),(4,7),(5,6),(5,7),(8,10),(8,11),(9,2),(9,3),(11,4),(11,5)],12)
[2,1,6,3,5,4,11,8,12,7,10,9]=>([(0,7),(0,8),(1,7),(1,8),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(7,9),(7,10),(7,11),(8,2),(8,3),(9,6),(10,4),(10,5),(11,4),(11,5),(11,6)],12)
[2,1,8,3,5,4,7,6,10,9,12,11]=>([(0,8),(0,9),(1,8),(1,9),(2,6),(2,7),(3,6),(3,7),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,2),(9,3),(10,4),(10,5),(11,4),(11,5)],12)
[2,1,8,3,5,4,7,6,12,9,11,10]=>([(0,8),(0,9),(1,8),(1,9),(4,6),(4,7),(5,6),(5,7),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,4),(9,5),(11,2),(11,3)],12)
[2,1,10,3,5,4,7,6,9,8,12,11]=>([(0,6),(0,7),(1,6),(1,7),(2,8),(2,9),(3,8),(3,9),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,2),(7,3),(8,4),(8,5),(9,4),(9,5)],12)
[2,1,12,3,5,4,7,6,9,8,11,10]=>([(0,6),(0,7),(1,6),(1,7),(2,10),(2,11),(3,10),(3,11),(7,2),(7,3),(8,4),(8,5),(9,4),(9,5),(10,8),(10,9),(11,8),(11,9)],12)
[2,1,11,8,12,3,5,4,7,6,10,9]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,5),(2,6),(3,5),(3,6),(5,10),(5,11),(6,10),(6,11),(7,2),(7,3),(8,4),(9,4),(9,10),(9,11)],12)
[2,1,9,6,10,3,5,4,8,7,12,11]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,10),(2,11),(3,10),(3,11),(4,8),(4,9),(5,2),(5,3),(6,4),(7,4),(7,10),(7,11),(10,8),(10,9),(11,8),(11,9)],12)
[2,1,9,6,12,3,5,4,8,7,11,10]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,10),(2,11),(3,10),(3,11),(5,2),(5,3),(6,4),(6,10),(6,11),(7,4),(7,8),(7,9),(10,8),(10,9),(11,8),(11,9)],12)
[2,1,12,3,5,4,8,7,11,6,10,9]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,8),(2,9),(3,5),(3,8),(3,9),(5,10),(5,11),(7,2),(7,3),(8,4),(8,10),(8,11),(9,4),(9,10),(9,11)],12)
[2,1,11,6,10,7,12,3,5,4,9,8]=>([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,11),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(5,11),(6,11),(7,3),(7,4),(8,2),(8,5)],12)
[2,1,7,4,8,3,6,5,10,9,12,11]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(7,4),(8,2),(8,3),(9,2),(9,3),(9,4),(10,5),(10,6),(11,5),(11,6)],12)
[2,1,7,4,8,3,6,5,12,9,11,10]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,6),(8,4),(8,5),(9,4),(9,5),(9,6),(11,2),(11,3)],12)
[2,1,7,4,10,3,6,5,9,8,12,11]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,10),(2,11),(3,8),(3,9),(4,8),(4,9),(5,2),(5,8),(5,9),(6,3),(6,4),(7,2),(7,3),(7,4),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,7,4,12,3,6,5,9,8,11,10]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(3,10),(3,11),(4,10),(4,11),(7,2),(7,10),(7,11),(8,3),(8,4),(9,2),(9,3),(9,4),(10,5),(10,6),(11,5),(11,6)],12)
[2,1,7,4,11,8,12,3,6,5,10,9]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(3,10),(3,11),(4,10),(4,11),(5,2),(6,2),(6,10),(6,11),(7,3),(7,4),(8,5),(8,6),(9,3),(9,4),(9,5),(9,6)],12)
[2,1,10,3,6,5,9,4,8,7,12,11]=>([(0,6),(0,7),(1,6),(1,7),(2,8),(2,9),(3,5),(3,8),(3,9),(4,5),(4,8),(4,9),(5,10),(5,11),(6,10),(6,11),(7,2),(7,3),(7,4),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,12,3,6,5,9,4,8,7,11,10]=>([(0,5),(0,6),(1,5),(1,6),(2,10),(2,11),(3,7),(3,10),(3,11),(4,7),(4,10),(4,11),(6,2),(6,3),(6,4),(7,8),(7,9),(10,8),(10,9),(11,8),(11,9)],12)
[2,1,11,4,8,7,12,3,6,5,10,9]=>([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(7,4),(7,5),(8,2),(8,3),(8,4),(8,5)],12)
[2,1,12,3,6,5,10,7,11,4,9,8]=>([(0,8),(0,9),(1,8),(1,9),(2,6),(2,7),(3,10),(3,11),(4,10),(4,11),(9,2),(9,3),(9,4),(10,5),(11,5),(11,6),(11,7)],12)
[2,1,9,4,8,5,10,3,7,6,12,11]=>([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,11),(3,4),(3,5),(3,11),(4,9),(4,10),(5,9),(5,10),(6,11),(7,2),(7,3),(8,4),(8,5),(11,9),(11,10)],12)
[2,1,9,4,8,5,12,3,7,6,11,10]=>([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,9),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,2),(7,3),(8,4),(8,5)],12)
[2,1,12,3,7,6,11,4,8,5,10,9]=>([(0,9),(0,10),(1,9),(1,10),(2,5),(2,11),(3,8),(3,11),(4,8),(4,11),(5,6),(5,7),(10,2),(10,3),(10,4),(11,6),(11,7)],12)
[2,1,10,5,12,3,7,6,11,4,9,8]=>([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,10),(2,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,3),(6,9),(7,2),(7,4),(7,5),(8,3),(8,4),(8,5)],12)
[2,1,10,5,11,4,9,6,12,3,8,7]=>([(0,6),(0,8),(0,9),(0,10),(1,6),(1,8),(1,9),(1,10),(4,11),(5,11),(6,5),(7,2),(7,3),(7,11),(8,2),(8,3),(9,4),(9,7),(10,4),(10,5),(10,7)],12)
[4,1,3,2,6,5,12,7,9,8,11,10]=>([(0,10),(0,11),(1,2),(1,3),(2,10),(2,11),(3,10),(3,11),(4,6),(4,7),(5,6),(5,7),(9,4),(9,5),(10,8),(10,9),(11,8),(11,9)],12)
[4,1,3,2,6,5,11,8,12,7,10,9]=>([(0,10),(0,11),(1,2),(1,3),(2,10),(2,11),(3,10),(3,11),(7,6),(8,4),(8,5),(9,4),(9,5),(9,6),(10,7),(10,8),(10,9),(11,7),(11,8),(11,9)],12)
[4,1,3,2,10,5,7,6,9,8,12,11]=>([(0,10),(0,11),(1,2),(1,3),(2,10),(2,11),(3,10),(3,11),(4,6),(4,7),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9),(10,8),(10,9),(11,4),(11,5)],12)
[4,1,3,2,12,5,7,6,9,8,11,10]=>([(0,10),(0,11),(1,2),(1,3),(2,10),(2,11),(3,10),(3,11),(4,6),(4,7),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9),(11,4),(11,5)],12)
[4,1,3,2,11,8,12,5,7,6,10,9]=>([(0,4),(0,5),(1,7),(1,8),(1,11),(2,9),(2,10),(3,9),(3,10),(4,7),(4,8),(4,11),(5,7),(5,8),(5,11),(7,6),(8,2),(8,3),(11,6),(11,9),(11,10)],12)
[4,1,3,2,9,6,10,5,8,7,12,11]=>([(0,2),(0,3),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(9,4),(10,5),(10,6),(11,4),(11,5),(11,6)],12)
[4,1,3,2,9,6,12,5,8,7,11,10]=>([(0,2),(0,3),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(5,7),(5,8),(6,7),(6,8),(9,5),(9,6),(10,4),(10,5),(10,6),(11,4),(11,7),(11,8)],12)
[4,1,3,2,12,5,8,7,11,6,10,9]=>([(0,10),(0,11),(1,2),(1,3),(2,10),(2,11),(3,10),(3,11),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(11,4),(11,5),(11,6)],12)
[4,1,3,2,11,6,10,7,12,5,9,8]=>([(0,9),(0,10),(0,11),(1,3),(1,4),(2,8),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(9,8),(10,6),(10,7),(11,2),(11,5)],12)
[6,1,3,2,5,4,8,7,10,9,12,11]=>([(0,10),(0,11),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(6,10),(6,11),(7,10),(7,11),(8,4),(8,5),(9,4),(9,5),(10,8),(10,9),(11,8),(11,9)],12)
[6,1,3,2,5,4,8,7,12,9,11,10]=>([(0,10),(0,11),(1,4),(1,5),(4,6),(4,7),(5,6),(5,7),(6,10),(6,11),(7,10),(7,11),(9,2),(9,3),(10,8),(10,9),(11,8),(11,9)],12)
[6,1,3,2,5,4,10,7,9,8,12,11]=>([(0,10),(0,11),(1,4),(1,5),(2,8),(2,9),(3,8),(3,9),(4,6),(4,7),(5,6),(5,7),(6,10),(6,11),(7,10),(7,11),(10,8),(10,9),(11,2),(11,3)],12)
[6,1,3,2,5,4,12,7,9,8,11,10]=>([(0,10),(0,11),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,8),(4,9),(5,8),(5,9),(8,10),(8,11),(9,10),(9,11),(11,2),(11,3)],12)
[6,1,3,2,5,4,11,8,12,7,10,9]=>([(0,9),(0,10),(0,11),(1,2),(1,3),(2,7),(2,8),(3,7),(3,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,6),(10,4),(10,5),(11,4),(11,5),(11,6)],12)
[8,1,3,2,5,4,7,6,10,9,12,11]=>([(0,10),(0,11),(1,2),(1,3),(2,8),(2,9),(3,8),(3,9),(4,10),(4,11),(5,10),(5,11),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)
[8,1,3,2,5,4,7,6,12,9,11,10]=>([(0,10),(0,11),(1,4),(1,5),(4,6),(4,7),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11),(11,2),(11,3)],12)
[10,1,3,2,5,4,7,6,9,8,12,11]=>([(0,10),(0,11),(1,2),(1,3),(2,8),(2,9),(3,8),(3,9),(4,10),(4,11),(5,10),(5,11),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],12)
[11,8,12,1,3,2,5,4,7,6,10,9]=>([(0,3),(0,4),(1,7),(2,7),(2,10),(2,11),(3,8),(3,9),(4,8),(4,9),(5,10),(5,11),(6,10),(6,11),(8,5),(8,6),(9,5),(9,6)],12)
[9,6,10,1,3,2,5,4,8,7,12,11]=>([(0,7),(1,3),(1,4),(2,7),(2,10),(2,11),(3,5),(3,6),(4,5),(4,6),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(10,8),(10,9),(11,8),(11,9)],12)
[9,6,12,1,3,2,5,4,8,7,11,10]=>([(0,3),(0,4),(1,5),(1,8),(1,9),(2,5),(2,10),(2,11),(3,6),(3,7),(4,6),(4,7),(6,10),(6,11),(7,10),(7,11),(10,8),(10,9),(11,8),(11,9)],12)
[12,1,3,2,5,4,8,7,11,6,10,9]=>([(1,2),(1,3),(2,8),(2,9),(3,8),(3,9),(5,10),(5,11),(6,4),(6,10),(6,11),(7,4),(7,10),(7,11),(8,5),(8,6),(8,7),(9,5),(9,6),(9,7)],12)
[11,6,10,7,12,1,3,2,5,4,9,8]=>([(0,9),(1,3),(1,4),(2,5),(2,6),(3,9),(4,9),(4,10),(4,11),(5,7),(5,8),(6,7),(6,8),(7,10),(7,11),(8,10),(8,11)],12)
[7,4,8,1,3,2,6,5,10,9,12,11]=>([(0,7),(1,3),(1,4),(2,7),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(7,8),(7,9),(8,5),(8,6),(9,5),(9,6),(10,8),(10,9),(11,8),(11,9)],12)
[7,4,8,1,3,2,6,5,12,9,11,10]=>([(0,7),(1,7),(1,9),(1,10),(2,5),(2,6),(5,9),(5,10),(6,9),(6,10),(7,8),(7,11),(9,8),(9,11),(10,8),(10,11),(11,3),(11,4)],12)
[7,4,10,1,3,2,6,5,9,8,12,11]=>([(0,3),(0,4),(1,5),(1,8),(1,9),(2,5),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,6),(5,7),(8,6),(8,7),(9,6),(9,7),(10,8),(10,9),(11,8),(11,9)],12)
[7,4,12,1,3,2,6,5,9,8,11,10]=>([(0,3),(0,4),(1,7),(1,8),(1,9),(2,7),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(8,5),(8,6),(9,5),(9,6),(10,8),(10,9),(11,8),(11,9)],12)
[7,4,11,8,12,1,3,2,6,5,10,9]=>([(0,6),(0,7),(1,3),(1,4),(2,6),(2,7),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(6,5),(7,5),(7,8),(7,9),(10,8),(10,9),(11,8),(11,9)],12)
[10,1,3,2,6,5,9,4,8,7,12,11]=>([(0,10),(0,11),(1,2),(1,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,10),(4,11),(5,8),(5,9),(6,4),(6,8),(6,9),(7,4),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,1,3,2,6,5,9,4,8,7,11,10]=>([(1,2),(1,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,10),(4,11),(5,8),(5,9),(6,4),(6,8),(6,9),(7,4),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[11,4,8,7,12,1,3,2,6,5,10,9]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,8),(2,9),(3,7),(3,10),(3,11),(4,7),(4,10),(4,11),(5,8),(5,9),(6,8),(6,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,1,3,2,6,5,10,7,11,4,9,8]=>([(1,2),(1,3),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(7,6),(8,4),(8,5),(9,7),(9,11),(10,7),(10,11),(11,4),(11,5),(11,6)],12)
[9,4,8,5,10,1,3,2,7,6,12,11]=>([(0,3),(0,6),(1,4),(1,5),(2,9),(3,9),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(9,7),(9,8),(10,7),(10,8),(11,7),(11,8)],12)
[9,4,8,5,12,1,3,2,7,6,11,10]=>([(0,7),(0,10),(0,11),(1,4),(1,5),(2,3),(2,6),(3,7),(3,10),(3,11),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,1,3,2,7,6,11,4,8,5,10,9]=>([(1,3),(1,4),(2,6),(2,7),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(8,2),(8,11),(9,5),(9,11),(10,5),(10,11),(11,6),(11,7)],12)
[10,5,12,1,3,2,7,6,11,4,9,8]=>([(0,3),(0,4),(1,5),(1,9),(2,5),(2,10),(2,11),(3,6),(3,10),(3,11),(4,6),(4,10),(4,11),(6,7),(6,8),(10,7),(10,8),(10,9),(11,7),(11,8),(11,9)],12)
[10,5,11,4,9,6,12,1,3,2,8,7]=>([(0,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(4,10),(4,11),(5,10),(5,11),(6,9),(7,9),(8,9),(8,10),(8,11)],12)
[5,2,6,1,4,3,8,7,10,9,12,11]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,3),(8,4),(9,3),(9,4),(10,8),(10,9),(11,8),(11,9)],12)
[5,2,6,1,4,3,8,7,12,9,11,10]=>([(0,9),(1,5),(1,6),(2,5),(2,6),(2,9),(5,10),(5,11),(6,10),(6,11),(8,3),(8,4),(9,10),(9,11),(10,7),(10,8),(11,7),(11,8)],12)
[5,2,6,1,4,3,10,7,9,8,12,11]=>([(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,9),(3,10),(4,9),(4,10),(5,8),(5,11),(6,8),(6,11),(7,8),(7,11),(8,3),(8,4),(11,9),(11,10)],12)
[5,2,6,1,4,3,12,7,9,8,11,10]=>([(0,9),(1,5),(1,6),(2,5),(2,6),(2,9),(3,7),(3,8),(4,7),(4,8),(5,10),(5,11),(6,10),(6,11),(9,10),(9,11),(11,3),(11,4)],12)
[5,2,6,1,4,3,11,8,12,7,10,9]=>([(0,8),(1,5),(1,6),(2,5),(2,6),(2,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(8,9),(8,10),(8,11),(9,7),(10,3),(10,4),(11,3),(11,4),(11,7)],12)
[5,2,8,1,4,3,7,6,10,9,12,11]=>([(0,7),(0,8),(0,9),(1,5),(1,6),(2,5),(2,6),(2,7),(5,8),(5,9),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,3),(10,4),(11,3),(11,4)],12)
[5,2,8,1,4,3,7,6,12,9,11,10]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,10),(2,11),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(9,3),(9,4),(10,8),(10,9),(11,8),(11,9)],12)
[5,2,10,1,4,3,7,6,9,8,12,11]=>([(0,7),(0,10),(0,11),(1,3),(1,4),(2,3),(2,4),(2,7),(3,10),(3,11),(4,10),(4,11),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(10,5),(10,6),(11,5),(11,6)],12)
[5,2,12,1,4,3,7,6,9,8,11,10]=>([(0,7),(0,10),(0,11),(1,5),(1,6),(2,5),(2,6),(2,7),(5,10),(5,11),(6,10),(6,11),(8,3),(8,4),(9,3),(9,4),(10,8),(10,9),(11,8),(11,9)],12)
[5,2,11,8,12,1,4,3,7,6,10,9]=>([(0,4),(0,5),(1,6),(1,7),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(4,10),(4,11),(5,10),(5,11),(6,3),(7,3),(7,8),(7,9),(10,8),(10,9),(11,8),(11,9)],12)
[5,2,9,6,10,1,4,3,8,7,12,11]=>([(0,4),(0,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,10),(3,11),(4,8),(4,9),(5,8),(5,9),(6,3),(7,3),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[5,2,9,6,12,1,4,3,8,7,11,10]=>([(0,4),(0,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(4,8),(4,9),(5,8),(5,9),(6,3),(6,10),(6,11),(7,3),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[5,2,12,1,4,3,8,7,11,6,10,9]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,9),(2,10),(2,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(9,7),(9,8),(10,3),(10,7),(10,8),(11,3),(11,7),(11,8)],12)
[5,2,11,6,10,7,12,1,4,3,9,8]=>([(0,6),(0,7),(1,5),(1,8),(2,5),(2,6),(2,7),(2,8),(3,11),(4,9),(4,10),(4,11),(5,11),(6,9),(6,10),(7,9),(7,10),(8,3),(8,4)],12)
[8,1,4,3,7,2,6,5,10,9,12,11]=>([(0,10),(0,11),(1,2),(1,3),(1,4),(2,8),(2,9),(3,5),(3,8),(3,9),(4,5),(4,8),(4,9),(5,10),(5,11),(8,10),(8,11),(9,10),(9,11),(10,6),(10,7),(11,6),(11,7)],12)
[8,1,4,3,7,2,6,5,12,9,11,10]=>([(0,10),(0,11),(1,4),(1,5),(1,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(11,2),(11,3)],12)
[10,1,4,3,7,2,6,5,9,8,12,11]=>([(0,2),(0,3),(0,4),(1,6),(1,7),(2,10),(2,11),(3,5),(3,10),(3,11),(4,5),(4,10),(4,11),(5,8),(5,9),(8,6),(8,7),(9,6),(9,7),(10,8),(10,9),(11,8),(11,9)],12)
[12,1,4,3,7,2,6,5,9,8,11,10]=>([(1,2),(1,3),(1,4),(2,10),(2,11),(3,7),(3,10),(3,11),(4,7),(4,10),(4,11),(7,8),(7,9),(8,5),(8,6),(9,5),(9,6),(10,8),(10,9),(11,8),(11,9)],12)
[11,8,12,1,4,3,7,2,6,5,10,9]=>([(0,6),(1,6),(1,10),(1,11),(2,3),(2,4),(2,5),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[9,2,6,5,10,1,4,3,8,7,12,11]=>([(0,9),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(9,7),(9,8),(10,7),(10,8),(11,7),(11,8)],12)
[9,2,6,5,12,1,4,3,8,7,11,10]=>([(0,7),(0,8),(0,9),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(10,7),(10,8),(11,7),(11,8)],12)
[12,1,4,3,8,7,11,2,6,5,10,9]=>([(1,2),(1,3),(1,4),(2,8),(2,9),(3,5),(3,6),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,7),(5,10),(5,11),(6,7),(6,10),(6,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,2,6,5,10,7,12,1,4,3,9,8]=>([(0,11),(1,7),(1,8),(2,3),(2,4),(2,7),(2,8),(3,5),(3,6),(4,5),(4,6),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(8,9),(8,10)],12)
[10,1,4,3,8,5,9,2,7,6,12,11]=>([(0,10),(0,11),(1,2),(1,3),(1,4),(2,6),(2,7),(3,8),(3,9),(4,8),(4,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,5),(9,5),(9,6),(9,7)],12)
[12,1,4,3,8,5,9,2,7,6,11,10]=>([(1,2),(1,3),(1,4),(2,6),(2,7),(3,8),(3,9),(4,8),(4,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,5),(9,5),(9,6),(9,7)],12)
[11,2,7,6,12,1,4,3,8,5,10,9]=>([(0,10),(1,7),(1,8),(2,3),(2,4),(2,7),(2,8),(3,10),(3,11),(4,10),(4,11),(7,9),(7,11),(8,9),(8,11),(9,5),(9,6),(11,5),(11,6)],12)
[10,5,11,2,7,6,12,1,4,3,9,8]=>([(0,8),(1,4),(1,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9)],12)
[10,5,12,1,4,3,9,6,11,2,8,7]=>([(0,6),(0,9),(1,6),(1,10),(1,11),(2,3),(2,4),(2,5),(3,10),(3,11),(4,10),(4,11),(5,7),(5,8),(10,9),(11,7),(11,8),(11,9)],12)
[7,2,6,3,8,1,5,4,10,9,12,11]=>([(0,9),(1,3),(1,4),(2,5),(2,6),(3,9),(4,5),(4,6),(4,9),(5,10),(5,11),(6,10),(6,11),(9,10),(9,11),(10,7),(10,8),(11,7),(11,8)],12)
[7,2,6,3,8,1,5,4,12,9,11,10]=>([(0,10),(1,7),(1,8),(2,5),(2,6),(5,10),(6,7),(6,8),(6,10),(7,9),(7,11),(8,9),(8,11),(10,9),(10,11),(11,3),(11,4)],12)
[7,2,6,3,10,1,5,4,9,8,12,11]=>([(0,9),(0,10),(0,11),(1,5),(1,6),(2,3),(2,4),(3,9),(3,10),(3,11),(4,5),(4,6),(4,9),(5,10),(5,11),(6,10),(6,11),(9,7),(9,8),(10,7),(10,8),(11,7),(11,8)],12)
[7,2,6,3,12,1,5,4,9,8,11,10]=>([(0,9),(0,10),(0,11),(1,3),(1,4),(2,5),(2,6),(3,9),(3,10),(3,11),(4,5),(4,6),(4,9),(5,10),(5,11),(6,10),(6,11),(10,7),(10,8),(11,7),(11,8)],12)
[7,2,6,3,11,8,12,1,5,4,10,9]=>([(0,6),(0,7),(1,3),(1,4),(2,10),(2,11),(3,10),(3,11),(4,6),(4,7),(4,10),(4,11),(6,8),(6,9),(7,8),(7,9),(10,5),(11,5),(11,8),(11,9)],12)
[10,1,5,4,9,2,6,3,8,7,12,11]=>([(0,10),(0,11),(1,2),(1,3),(1,5),(2,6),(2,9),(3,6),(3,9),(4,7),(4,8),(5,4),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,7),(9,8)],12)
[12,1,5,4,9,2,6,3,8,7,11,10]=>([(1,2),(1,3),(1,5),(2,6),(2,9),(3,6),(3,9),(4,7),(4,8),(5,4),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,7),(9,8)],12)
[11,2,6,3,8,7,12,1,5,4,10,9]=>([(0,9),(1,3),(1,4),(2,5),(2,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,10),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[12,1,5,4,10,7,11,2,6,3,9,8]=>([(1,3),(1,4),(1,5),(2,10),(2,11),(3,6),(3,7),(3,9),(4,6),(4,7),(4,9),(5,2),(5,9),(6,8),(7,8),(7,10),(7,11),(9,10),(9,11)],12)
[8,3,10,1,5,4,9,2,7,6,12,11]=>([(0,4),(0,7),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,8),(3,9),(4,10),(4,11),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[8,3,12,1,5,4,9,2,7,6,11,10]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,9),(3,10),(3,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(9,7),(9,8),(10,7),(10,8),(11,7),(11,8)],12)
[8,3,11,2,7,6,12,1,5,4,10,9]=>([(0,7),(0,8),(1,4),(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,9),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11)],12)
[11,2,7,6,12,1,5,4,10,3,9,8]=>([(0,8),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11)],12)
[12,1,5,4,10,3,9,6,11,2,8,7]=>([(1,2),(1,3),(1,4),(1,5),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,6),(5,7),(8,11),(9,11),(10,6),(10,7),(10,11)],12)
[8,3,9,2,7,4,10,1,6,5,12,11]=>([(0,4),(1,6),(1,7),(2,5),(2,8),(3,4),(3,5),(3,8),(4,9),(5,9),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(8,9),(9,10),(9,11)],12)
[8,3,9,2,7,4,12,1,6,5,11,10]=>([(0,4),(1,5),(1,6),(2,7),(2,8),(3,4),(3,7),(3,8),(4,9),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,5),(8,6),(8,9)],12)
[8,3,12,1,6,5,11,2,7,4,10,9]=>([(0,7),(0,9),(0,10),(0,11),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,6),(3,8),(4,8),(4,9),(5,8),(5,9),(6,10),(6,11),(8,10),(8,11)],12)
[12,1,6,5,11,2,7,4,10,3,9,8]=>([(1,3),(1,4),(1,6),(2,9),(2,10),(3,7),(3,11),(4,7),(4,11),(5,8),(5,9),(5,10),(6,2),(6,5),(6,11),(11,8),(11,9),(11,10)],12)
[10,3,9,4,12,1,6,5,11,2,8,7]=>([(0,10),(0,11),(1,4),(1,6),(1,7),(2,3),(2,5),(3,10),(3,11),(4,8),(4,9),(5,6),(5,7),(5,10),(6,8),(6,9),(6,11),(7,8),(7,9),(7,11)],12)
[10,3,9,4,11,2,8,5,12,1,7,6]=>([(0,11),(1,8),(1,9),(2,6),(2,7),(3,4),(3,5),(4,11),(5,8),(5,9),(5,11),(8,10),(9,6),(9,7),(9,10),(11,10)],12)
[11,12,8,2,1,6,4,3,5,7,9,10]=>([(0,5),(1,6),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(6,4),(7,8),(8,6),(9,8),(10,7),(11,7)],12)
[12,2,9,1,10,6,4,3,5,7,8,11]=>([(1,4),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(2,11),(3,6),(4,11),(5,3),(7,5),(8,7),(9,7),(10,5),(11,6)],12)
[11,12,2,1,9,6,4,3,5,7,8,10]=>([(0,3),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(4,6),(5,4),(7,5),(8,6),(9,7),(10,7),(11,5)],12)
[10,2,4,1,11,3,12,6,5,7,8,9]=>([(0,11),(1,5),(1,10),(2,10),(2,11),(3,4),(5,8),(5,9),(5,11),(7,3),(8,7),(9,7),(10,6),(10,8),(10,9),(11,6)],12)
[7,12,10,2,1,8,4,3,5,6,9,11]=>([(0,3),(0,5),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(4,8),(5,7),(6,4),(8,7),(9,6),(10,6),(11,8)],12)
[2,11,7,1,12,8,4,3,5,6,9,10]=>([(0,3),(0,5),(0,9),(0,10),(1,8),(1,9),(1,10),(1,11),(3,11),(4,7),(5,8),(5,11),(6,4),(7,2),(8,7),(9,6),(10,6)],12)
[9,12,2,1,10,7,4,3,5,6,8,11]=>([(0,3),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(4,7),(5,4),(7,6),(8,7),(9,5),(10,5),(11,6)],12)
[2,11,1,12,9,7,4,3,5,6,8,10]=>([(0,3),(0,8),(0,9),(0,10),(0,11),(1,5),(1,8),(1,9),(1,10),(1,11),(2,7),(3,5),(6,2),(7,4),(8,6),(9,6),(10,7),(11,4)],12)
[10,11,2,1,4,3,12,7,5,6,8,9]=>([(0,4),(1,9),(1,10),(2,9),(2,10),(4,11),(5,7),(6,5),(7,3),(8,7),(9,6),(9,8),(9,11),(10,6),(10,8),(10,11)],12)
[8,12,2,1,9,4,3,10,5,6,7,11]=>([(0,4),(0,10),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,5),(5,6),(7,3),(8,7),(8,11),(9,7),(9,11),(10,11),(11,6)],12)
[2,11,1,12,8,4,3,9,5,6,7,10]=>([(0,4),(0,8),(0,9),(0,10),(1,6),(1,8),(1,9),(1,10),(2,3),(3,7),(4,6),(5,2),(8,11),(9,5),(9,11),(10,5),(10,11),(11,7)],12)
[2,10,1,11,4,3,12,8,5,6,7,9]=>([(0,4),(0,9),(0,10),(1,6),(1,9),(1,10),(2,3),(3,7),(4,6),(5,2),(6,11),(8,7),(9,5),(9,8),(9,11),(10,5),(10,8),(10,11)],12)
[2,9,1,10,4,3,11,5,12,6,7,8]=>([(0,5),(0,9),(0,10),(1,6),(1,9),(1,10),(2,4),(4,3),(5,6),(6,11),(8,2),(8,7),(9,8),(9,11),(10,8),(10,11),(11,7)],12)
[12,10,8,5,2,1,6,3,4,7,9,11]=>([(1,8),(2,11),(3,9),(3,11),(4,9),(4,11),(5,7),(6,10),(7,8),(9,6),(10,7),(11,10)],12)
[5,11,2,1,12,8,6,3,4,7,9,10]=>([(0,6),(0,9),(0,10),(0,11),(1,6),(1,9),(1,10),(1,11),(2,3),(2,9),(2,10),(3,11),(5,8),(6,5),(7,4),(8,7),(9,8),(10,7)],12)
[12,9,5,2,1,10,6,3,4,7,8,11]=>([(1,11),(2,10),(2,11),(3,7),(3,10),(3,11),(4,7),(4,10),(4,11),(5,9),(6,8),(7,5),(9,6),(10,9),(11,8)],12)
[11,5,2,1,12,9,6,3,4,7,8,10]=>([(0,11),(1,9),(1,10),(1,11),(2,6),(2,9),(2,10),(2,11),(3,6),(3,9),(3,10),(3,11),(4,8),(5,7),(6,4),(8,5),(9,8),(10,7)],12)
[10,11,2,1,5,3,12,6,4,7,8,9]=>([(0,9),(0,10),(1,9),(1,10),(2,5),(3,8),(5,11),(6,4),(7,8),(8,6),(9,7),(9,11),(10,3),(10,7),(10,11)],12)
[12,10,7,2,1,8,5,3,4,6,9,11]=>([(1,8),(2,11),(3,6),(3,9),(3,11),(4,6),(4,9),(4,11),(5,10),(6,10),(7,8),(9,5),(10,7),(11,7)],12)
[11,7,2,1,12,8,5,3,4,6,9,10]=>([(0,11),(1,10),(1,11),(2,6),(2,7),(2,10),(2,11),(3,6),(3,7),(3,10),(3,11),(5,9),(6,9),(7,5),(8,4),(9,8),(10,8)],12)
[12,9,2,1,10,7,5,3,4,6,8,11]=>([(1,11),(2,6),(2,8),(2,9),(2,11),(3,6),(3,8),(3,9),(3,11),(4,10),(6,4),(7,5),(8,7),(9,10),(10,7),(11,5)],12)
[11,2,1,12,9,7,5,3,4,6,8,10]=>([(0,11),(1,5),(1,8),(1,9),(1,10),(1,11),(2,5),(2,8),(2,9),(2,10),(2,11),(3,7),(5,3),(6,4),(7,6),(8,7),(9,6),(10,4)],12)
[10,11,2,1,3,12,7,5,4,6,8,9]=>([(0,11),(1,11),(2,7),(3,10),(5,9),(6,9),(7,8),(9,10),(10,4),(11,3),(11,5),(11,6),(11,8)],12)
[8,9,2,1,12,3,10,5,4,6,7,11]=>([(0,10),(0,11),(1,10),(1,11),(2,6),(3,9),(4,9),(5,8),(6,7),(6,11),(7,8),(9,5),(10,3),(10,4),(10,7)],12)
[11,8,2,1,12,3,9,5,4,6,7,10]=>([(0,11),(1,8),(1,11),(2,8),(2,11),(3,7),(3,11),(4,10),(5,10),(6,9),(7,9),(8,4),(8,5),(8,7),(10,6)],12)
[2,10,1,11,3,12,8,5,4,6,7,9]=>([(0,9),(0,11),(1,4),(1,11),(2,10),(3,10),(4,9),(5,7),(6,7),(9,8),(10,6),(11,2),(11,3),(11,5),(11,8)],12)
[2,9,1,10,3,11,5,4,12,6,7,8]=>([(0,9),(0,10),(1,3),(1,10),(3,9),(4,7),(4,11),(5,7),(5,11),(6,2),(7,6),(8,11),(9,8),(10,4),(10,5),(10,8)],12)
[12,10,6,2,1,7,3,8,4,5,9,11]=>([(1,11),(2,10),(2,11),(3,10),(3,11),(4,8),(5,6),(6,9),(7,9),(9,8),(10,5),(10,7),(11,7)],12)
[11,6,2,1,12,7,3,8,4,5,9,10]=>([(0,11),(1,10),(1,11),(2,8),(2,10),(2,11),(3,8),(3,10),(3,11),(5,6),(6,9),(7,9),(8,5),(8,7),(9,4),(10,7)],12)
[12,9,2,1,10,6,3,7,4,5,8,11]=>([(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,5),(5,8),(7,8),(8,6),(9,7),(10,4),(10,7),(11,6)],12)
[11,2,1,12,9,6,3,7,4,5,8,10]=>([(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,4),(4,7),(6,7),(7,5),(8,6),(9,5),(10,3),(10,6)],12)
[10,2,1,11,6,3,12,7,4,5,8,9]=>([(0,11),(1,8),(1,9),(1,11),(2,8),(2,9),(2,11),(4,5),(5,6),(6,3),(7,6),(8,7),(8,10),(9,4),(9,7),(9,10),(11,10)],12)
[12,8,2,1,9,3,10,6,4,5,7,11]=>([(1,11),(2,9),(2,11),(3,9),(3,11),(4,10),(5,6),(6,10),(7,8),(9,4),(9,5),(9,7),(10,8),(11,7)],12)
[11,2,1,12,8,3,9,6,4,5,7,10]=>([(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,5),(4,8),(5,8),(7,6),(8,6),(9,7),(10,3),(10,4),(10,7)],12)
[10,2,1,11,3,12,8,6,4,5,7,9]=>([(0,11),(1,10),(1,11),(2,10),(2,11),(3,9),(4,7),(5,7),(6,5),(7,9),(10,3),(10,4),(10,6),(10,8),(11,8)],12)
[2,9,1,10,3,11,4,12,6,5,7,8]=>([(0,9),(0,10),(1,5),(1,10),(3,11),(4,11),(5,9),(6,3),(6,4),(6,8),(7,8),(9,7),(10,6),(10,7),(11,2)],12)
[12,7,2,1,8,3,9,4,10,5,6,11]=>([(1,11),(2,7),(2,11),(3,7),(3,11),(4,6),(4,8),(5,10),(6,5),(7,4),(7,9),(8,10),(9,8),(11,9)],12)
[11,2,1,12,7,3,8,4,9,5,6,10]=>([(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,5),(4,3),(4,8),(5,6),(7,8),(8,6),(9,7),(10,4),(10,7)],12)
[10,2,1,11,3,12,7,4,8,5,6,9]=>([(0,11),(1,10),(1,11),(2,10),(2,11),(3,9),(4,7),(5,3),(6,5),(6,7),(7,9),(10,4),(10,6),(10,8),(11,8)],12)
[9,2,1,10,3,11,4,12,7,5,6,8]=>([(0,11),(1,10),(1,11),(2,10),(2,11),(3,7),(4,7),(5,4),(6,3),(6,5),(6,9),(8,9),(10,6),(10,8),(11,8)],12)
[8,2,1,9,3,10,4,11,5,12,6,7]=>([(0,11),(1,10),(1,11),(2,10),(2,11),(4,3),(5,4),(5,8),(6,5),(6,9),(7,9),(9,8),(10,6),(10,7),(11,7)],12)
[12,10,8,6,3,1,4,2,5,7,9,11]=>([(1,10),(2,9),(3,7),(4,8),(5,6),(5,7),(6,11),(7,11),(8,9),(9,10),(11,8)],12)
[11,12,3,1,8,6,4,2,5,7,9,10]=>([(0,4),(1,9),(1,10),(1,11),(2,5),(2,9),(2,10),(2,11),(5,8),(6,3),(7,6),(8,7),(9,8),(10,7),(11,6)],12)
[9,12,3,1,10,6,4,2,5,7,8,11]=>([(0,3),(0,11),(1,9),(1,10),(1,11),(2,5),(2,9),(2,10),(2,11),(4,7),(5,8),(6,4),(8,6),(9,8),(10,6),(11,7)],12)
[3,11,1,12,9,6,4,2,5,7,8,10]=>([(0,4),(0,9),(0,10),(0,11),(1,3),(1,5),(1,9),(1,10),(1,11),(2,7),(3,8),(4,5),(6,2),(8,6),(9,6),(10,7),(11,8)],12)
[3,10,4,1,11,2,12,6,5,7,8,9]=>([(0,5),(0,11),(1,3),(1,4),(3,11),(4,7),(4,8),(4,11),(5,7),(5,8),(5,9),(6,2),(7,10),(8,10),(10,6),(11,9)],12)
[12,10,7,3,1,8,4,2,5,6,9,11]=>([(1,11),(2,8),(3,7),(3,11),(4,5),(4,7),(4,11),(5,10),(6,9),(7,10),(9,8),(10,6),(11,9)],12)
[11,7,3,1,12,8,4,2,5,6,9,10]=>([(0,11),(1,10),(1,11),(2,7),(2,10),(2,11),(3,4),(3,7),(3,10),(3,11),(4,8),(6,9),(7,8),(8,6),(9,5),(10,9)],12)
[12,9,3,1,10,7,4,2,5,6,8,11]=>([(1,11),(2,8),(2,9),(2,11),(3,4),(3,8),(3,9),(3,11),(4,7),(5,10),(7,5),(8,10),(9,7),(10,6),(11,6)],12)
[11,3,1,12,9,7,4,2,5,6,8,10]=>([(0,11),(1,8),(1,9),(1,10),(1,11),(2,4),(2,8),(2,9),(2,10),(2,11),(3,7),(4,6),(6,3),(7,5),(8,6),(9,7),(10,5)],12)
[3,10,1,11,4,2,12,7,5,6,8,9]=>([(0,4),(0,10),(1,5),(1,6),(1,10),(3,8),(4,6),(5,7),(5,9),(5,11),(6,11),(7,3),(8,2),(9,8),(10,7),(10,9),(10,11)],12)
[12,8,3,1,9,4,2,10,5,6,7,11]=>([(1,10),(2,7),(2,10),(3,4),(3,7),(3,10),(4,9),(4,11),(5,6),(6,8),(7,9),(7,11),(9,5),(10,11),(11,8)],12)
[11,3,1,12,8,4,2,9,5,6,7,10]=>([(0,10),(1,8),(1,9),(1,10),(2,5),(2,8),(2,9),(2,10),(3,4),(4,7),(5,6),(5,11),(6,3),(8,11),(9,6),(9,11),(11,7)],12)
[10,3,1,11,4,2,12,8,5,6,7,9]=>([(0,11),(1,9),(1,11),(2,5),(2,9),(2,11),(3,4),(4,6),(5,7),(5,8),(5,10),(7,3),(8,6),(9,7),(9,8),(9,10),(11,10)],12)
[9,3,1,10,4,2,11,5,12,6,7,8]=>([(0,11),(1,9),(1,11),(2,4),(2,9),(2,11),(4,7),(4,10),(5,3),(6,5),(7,6),(7,8),(9,7),(9,10),(10,8),(11,10)],12)
[12,10,8,5,1,6,3,2,4,7,9,11]=>([(1,7),(2,9),(3,8),(4,5),(4,6),(4,7),(5,11),(6,11),(7,10),(9,8),(10,9),(11,10)],12)
[5,11,1,12,8,6,3,2,4,7,9,10]=>([(0,5),(0,10),(0,11),(1,3),(1,4),(1,7),(1,10),(1,11),(3,9),(4,9),(5,7),(6,2),(8,6),(9,8),(10,8),(11,6)],12)
[12,9,5,1,10,6,3,2,4,7,8,11]=>([(1,11),(2,7),(2,11),(3,4),(3,5),(3,7),(3,11),(4,10),(5,10),(6,9),(7,8),(8,6),(10,8),(11,9)],12)
[11,5,1,12,9,6,3,2,4,7,8,10]=>([(0,11),(1,9),(1,10),(1,11),(2,4),(2,5),(2,9),(2,10),(2,11),(3,7),(4,8),(5,8),(6,3),(8,6),(9,6),(10,7)],12)
[3,10,1,11,5,2,12,6,4,7,8,9]=>([(0,5),(0,7),(0,10),(1,4),(1,9),(1,10),(2,3),(4,7),(5,8),(5,9),(5,11),(6,2),(7,11),(8,6),(9,6),(10,8),(10,11)],12)
[12,10,7,1,8,5,3,2,4,6,9,11]=>([(1,11),(2,7),(3,4),(3,5),(3,6),(3,11),(4,10),(5,10),(6,9),(8,7),(9,8),(10,9),(11,8)],12)
[11,7,1,12,8,5,3,2,4,6,9,10]=>([(0,11),(1,9),(1,11),(2,4),(2,5),(2,6),(2,9),(2,11),(4,8),(5,7),(6,7),(7,8),(8,10),(9,10),(10,3)],12)
[12,9,1,10,7,5,3,2,4,6,8,11]=>([(1,11),(2,3),(2,4),(2,5),(2,6),(2,11),(3,8),(4,9),(5,10),(6,10),(8,9),(9,7),(10,8),(11,7)],12)
[11,1,12,9,7,5,3,2,4,6,8,10]=>([(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(1,11),(2,7),(3,7),(4,9),(5,10),(6,8),(7,10),(9,8),(10,9)],12)
[3,10,1,11,2,12,7,5,4,6,8,9]=>([(0,4),(0,11),(1,3),(1,8),(1,9),(1,10),(3,11),(4,5),(4,8),(4,9),(4,10),(6,2),(7,6),(8,7),(9,7),(10,6),(11,5)],12)
[8,9,1,12,3,2,10,5,4,6,7,11]=>([(0,3),(1,4),(1,5),(1,6),(2,8),(3,6),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(7,2),(9,7),(10,7),(11,8)],12)
[11,8,1,12,3,2,9,5,4,6,7,10]=>([(0,10),(1,10),(1,11),(2,4),(2,5),(2,10),(3,7),(4,8),(4,9),(4,11),(5,8),(5,9),(5,11),(6,3),(8,6),(9,6),(11,7)],12)
[10,3,1,11,2,12,8,5,4,6,7,9]=>([(0,11),(1,4),(1,11),(2,8),(2,9),(2,10),(2,11),(3,7),(4,5),(4,8),(4,9),(4,10),(6,3),(8,6),(9,6),(10,7),(11,5)],12)
[9,3,1,10,2,11,5,4,12,6,7,8]=>([(0,11),(1,5),(1,11),(2,8),(2,9),(2,11),(3,4),(5,6),(5,8),(5,9),(6,10),(7,3),(8,7),(8,10),(9,7),(9,10),(11,6)],12)
[12,10,6,1,7,3,2,8,4,5,9,11]=>([(1,7),(2,8),(3,5),(3,6),(3,8),(4,9),(5,10),(5,11),(6,10),(6,11),(8,11),(9,7),(10,4),(11,9)],12)
[11,6,1,12,7,3,2,8,4,5,9,10]=>([(0,11),(1,7),(1,11),(2,3),(2,4),(2,7),(2,11),(3,8),(3,10),(4,8),(4,10),(6,9),(7,10),(8,6),(9,5),(10,9)],12)
[12,9,1,10,6,3,2,7,4,5,8,11]=>([(1,9),(2,3),(2,4),(2,5),(2,9),(3,11),(4,10),(4,11),(5,10),(5,11),(6,7),(7,8),(9,8),(10,6),(11,7)],12)
[11,1,12,9,6,3,2,7,4,5,8,10]=>([(0,9),(1,2),(1,3),(1,4),(1,5),(1,9),(2,8),(3,11),(4,10),(4,11),(5,10),(5,11),(6,7),(7,8),(10,6),(11,7)],12)
[10,1,11,6,3,2,12,7,4,5,8,9]=>([(0,7),(1,2),(1,3),(1,4),(1,7),(2,10),(2,11),(3,8),(3,10),(3,11),(4,8),(4,10),(4,11),(6,9),(7,11),(8,6),(9,5),(10,9)],12)
[12,8,1,9,3,2,10,6,4,5,7,11]=>([(1,8),(2,4),(2,5),(2,8),(3,9),(4,7),(4,10),(4,11),(5,7),(5,10),(5,11),(7,3),(8,11),(9,6),(10,9),(11,6)],12)
[11,1,12,8,3,2,9,6,4,5,7,10]=>([(0,8),(1,2),(1,4),(1,5),(1,8),(2,11),(3,9),(4,7),(4,10),(4,11),(5,7),(5,10),(5,11),(7,3),(9,6),(10,9),(11,6)],12)
[10,1,11,3,2,12,8,6,4,5,7,9]=>([(0,7),(1,3),(1,4),(1,7),(2,8),(3,6),(3,9),(3,10),(3,11),(4,6),(4,9),(4,10),(4,11),(6,2),(7,11),(8,5),(9,5),(10,8)],12)
[9,3,1,10,2,11,4,12,6,5,7,8]=>([(0,11),(1,10),(1,11),(2,6),(2,11),(3,9),(4,9),(6,7),(6,10),(7,8),(9,5),(10,3),(10,4),(10,8),(11,7)],12)
[12,7,1,8,3,2,9,4,10,5,6,11]=>([(1,10),(2,3),(2,4),(2,10),(3,7),(3,11),(4,7),(4,11),(5,8),(6,5),(7,6),(7,9),(9,8),(10,11),(11,9)],12)
[11,1,12,7,3,2,8,4,9,5,6,10]=>([(0,10),(1,2),(1,3),(1,4),(1,10),(2,11),(3,7),(3,11),(4,7),(4,11),(5,8),(6,5),(7,6),(7,9),(9,8),(11,9)],12)
[10,1,11,3,2,12,7,4,8,5,6,9]=>([(0,7),(1,4),(1,5),(1,7),(2,3),(3,6),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(7,11),(8,6),(9,8),(10,2),(10,8)],12)
[9,1,10,3,2,11,4,12,7,5,6,8]=>([(0,9),(1,2),(1,3),(1,9),(2,10),(2,11),(3,10),(3,11),(4,7),(5,7),(6,5),(9,11),(10,4),(10,6),(10,8),(11,8)],12)
[8,1,9,3,2,10,4,11,5,12,6,7]=>([(0,10),(1,3),(1,4),(1,10),(3,7),(3,11),(4,7),(4,11),(5,2),(6,5),(6,8),(7,6),(7,9),(9,8),(10,11),(11,9)],12)
[12,10,8,4,1,5,2,6,3,7,9,11]=>([(1,10),(2,9),(3,7),(4,5),(4,7),(5,6),(5,11),(6,8),(7,11),(8,9),(9,10),(11,8)],12)
[4,11,1,12,8,5,2,6,3,7,9,10]=>([(0,5),(0,10),(0,11),(1,3),(1,7),(1,10),(1,11),(3,4),(3,9),(4,8),(5,7),(6,2),(8,6),(9,8),(10,9),(11,6)],12)
[12,9,4,1,10,5,2,6,3,7,8,11]=>([(1,11),(2,7),(2,11),(3,5),(3,7),(3,11),(4,9),(5,6),(5,10),(6,8),(7,10),(8,4),(10,8),(11,9)],12)
[11,4,1,12,9,5,2,6,3,7,8,10]=>([(0,11),(1,9),(1,10),(1,11),(2,5),(2,9),(2,10),(2,11),(3,7),(4,6),(5,3),(5,8),(7,4),(8,7),(9,8),(10,6)],12)
[10,4,1,11,5,2,12,6,3,7,8,9]=>([(0,11),(1,9),(1,11),(2,5),(2,9),(2,11),(4,8),(5,4),(5,7),(5,10),(6,3),(7,8),(8,6),(9,7),(9,10),(11,10)],12)
[12,10,7,1,8,4,2,5,3,6,9,11]=>([(1,11),(2,7),(3,5),(3,6),(3,11),(4,8),(5,10),(6,4),(6,10),(8,9),(9,7),(10,8),(11,9)],12)
[11,7,1,12,8,4,2,5,3,6,9,10]=>([(0,11),(1,9),(1,11),(2,5),(2,6),(2,9),(2,11),(4,8),(5,7),(6,4),(6,7),(7,8),(8,10),(9,10),(10,3)],12)
[12,9,1,10,7,4,2,5,3,6,8,11]=>([(1,11),(2,4),(2,5),(2,6),(2,11),(3,8),(4,10),(5,9),(6,3),(6,10),(8,9),(9,7),(10,8),(11,7)],12)
[11,1,12,9,7,4,2,5,3,6,8,10]=>([(0,11),(1,2),(1,4),(1,5),(1,6),(1,11),(2,7),(3,10),(4,9),(5,8),(6,3),(6,7),(7,10),(9,8),(10,9)],12)
[10,4,1,11,2,12,7,5,3,6,8,9]=>([(0,11),(1,5),(1,11),(2,9),(2,10),(2,11),(4,8),(5,4),(5,6),(5,9),(5,10),(7,3),(8,7),(9,8),(10,7),(11,6)],12)
[12,8,1,9,4,2,10,5,3,6,7,11]=>([(1,9),(2,5),(2,6),(2,9),(3,10),(4,8),(5,7),(5,11),(6,3),(6,7),(6,11),(7,10),(9,11),(10,4),(11,8)],12)
[11,1,12,8,4,2,9,5,3,6,7,10]=>([(0,9),(1,3),(1,5),(1,6),(1,9),(2,10),(3,11),(4,8),(5,7),(5,11),(6,2),(6,7),(6,11),(7,10),(10,4),(11,8)],12)
[10,1,11,4,2,12,8,5,3,6,7,9]=>([(0,8),(1,4),(1,5),(1,8),(2,6),(3,7),(4,9),(4,10),(4,11),(5,3),(5,9),(5,10),(5,11),(7,2),(8,11),(9,6),(10,7)],12)
[9,1,10,4,2,11,5,3,12,6,7,8]=>([(0,9),(1,4),(1,5),(1,9),(3,8),(3,11),(4,7),(4,10),(5,3),(5,7),(5,10),(6,2),(7,8),(7,11),(8,6),(9,10),(10,11)],12)
[12,10,6,1,7,2,8,4,3,5,9,11]=>([(1,11),(2,6),(2,11),(3,7),(4,10),(5,10),(6,4),(6,5),(6,8),(8,9),(9,7),(10,9),(11,8)],12)
[11,6,1,12,7,2,8,4,3,5,9,10]=>([(0,11),(1,9),(1,11),(2,6),(2,9),(2,11),(4,7),(5,7),(6,4),(6,5),(6,8),(7,10),(8,10),(9,8),(10,3)],12)
[12,9,1,10,6,2,7,4,3,5,8,11]=>([(1,11),(2,5),(2,6),(2,11),(3,10),(4,10),(5,8),(6,3),(6,4),(6,8),(8,9),(9,7),(10,9),(11,7)],12)
[11,1,12,9,6,2,7,4,3,5,8,10]=>([(0,11),(1,2),(1,5),(1,6),(1,11),(2,9),(3,7),(4,7),(5,8),(6,3),(6,4),(6,8),(7,10),(8,10),(10,9)],12)
[10,1,11,6,2,12,7,4,3,5,8,9]=>([(0,9),(1,5),(1,6),(1,9),(3,7),(4,7),(5,8),(5,11),(6,3),(6,4),(6,8),(6,11),(7,10),(8,10),(9,11),(10,2)],12)
[12,8,1,9,2,10,6,4,3,5,7,11]=>([(1,11),(2,6),(2,11),(3,10),(4,10),(5,9),(6,3),(6,4),(6,5),(6,8),(8,7),(9,7),(10,9),(11,8)],12)
[11,1,12,8,2,9,6,4,3,5,7,10]=>([(0,11),(1,5),(1,6),(1,11),(2,9),(3,7),(4,7),(5,8),(6,2),(6,3),(6,4),(6,8),(7,9),(8,10),(9,10)],12)
[10,1,11,2,12,8,6,4,3,5,7,9]=>([(0,11),(1,6),(1,11),(2,10),(3,9),(4,7),(5,7),(6,2),(6,3),(6,4),(6,5),(6,8),(7,9),(9,10),(11,8)],12)
[9,1,10,4,2,11,3,12,6,5,7,8]=>([(0,8),(1,3),(1,4),(1,8),(3,5),(3,11),(4,9),(4,10),(4,11),(5,6),(5,9),(5,10),(7,2),(8,11),(9,7),(10,7),(11,6)],12)
[12,7,1,8,2,9,4,3,10,5,6,11]=>([(1,9),(2,6),(2,9),(3,10),(3,11),(4,10),(4,11),(5,8),(6,3),(6,4),(6,7),(7,11),(9,7),(10,5),(11,8)],12)
[11,1,12,7,2,8,4,3,9,5,6,10]=>([(0,9),(1,5),(1,6),(1,9),(2,10),(2,11),(3,10),(3,11),(4,8),(5,7),(6,2),(6,3),(6,7),(7,11),(10,4),(11,8)],12)
[10,1,11,2,12,7,4,3,8,5,6,9]=>([(0,9),(1,6),(1,9),(2,11),(3,10),(3,11),(4,10),(4,11),(5,8),(6,2),(6,3),(6,4),(6,7),(9,7),(10,5),(11,8)],12)
[9,1,10,2,11,4,3,12,7,5,6,8]=>([(0,10),(1,3),(1,10),(2,8),(3,4),(3,5),(3,6),(4,7),(4,9),(4,11),(5,7),(5,9),(5,11),(6,11),(7,2),(9,8),(10,6)],12)
[8,1,9,2,10,4,3,11,5,12,6,7]=>([(0,10),(1,6),(1,10),(3,7),(3,11),(4,7),(4,11),(5,2),(6,3),(6,4),(6,8),(7,5),(7,9),(8,11),(10,8),(11,9)],12)
[12,10,5,1,6,2,7,3,8,4,9,11]=>([(1,11),(2,6),(2,11),(3,7),(4,5),(4,10),(5,9),(6,4),(6,8),(8,10),(9,7),(10,9),(11,8)],12)
[11,5,1,12,6,2,7,3,8,4,9,10]=>([(0,11),(1,9),(1,11),(2,6),(2,9),(2,11),(4,10),(5,4),(5,8),(6,5),(6,7),(7,8),(8,10),(9,7),(10,3)],12)
[12,9,1,10,5,2,6,3,7,4,8,11]=>([(1,11),(2,5),(2,6),(2,11),(3,4),(3,10),(4,9),(5,8),(6,3),(6,8),(8,10),(9,7),(10,9),(11,7)],12)
[11,1,12,9,5,2,6,3,7,4,8,10]=>([(0,11),(1,2),(1,4),(1,5),(1,11),(2,7),(3,9),(4,8),(5,6),(5,7),(6,3),(6,10),(7,10),(9,8),(10,9)],12)
[10,1,11,5,2,12,6,3,7,4,8,9]=>([(0,9),(1,4),(1,6),(1,9),(3,10),(4,7),(4,11),(5,3),(5,8),(6,5),(6,7),(6,11),(7,8),(8,10),(9,11),(10,2)],12)
[12,8,1,9,2,10,5,3,6,4,7,11]=>([(1,11),(2,6),(2,11),(3,10),(4,5),(4,10),(5,8),(6,3),(6,4),(6,9),(8,7),(9,7),(10,8),(11,9)],12)
[11,1,12,8,2,9,5,3,6,4,7,10]=>([(0,11),(1,4),(1,6),(1,11),(2,9),(3,8),(4,7),(5,2),(5,8),(6,3),(6,5),(6,7),(7,10),(8,9),(9,10)],12)
[10,1,11,2,12,8,5,3,6,4,7,9]=>([(0,11),(1,6),(1,11),(2,10),(3,9),(4,8),(5,3),(5,8),(6,2),(6,4),(6,5),(6,7),(8,9),(9,10),(11,7)],12)
[9,1,10,2,11,5,3,12,6,4,7,8]=>([(0,9),(1,6),(1,9),(3,10),(4,7),(4,11),(5,3),(5,7),(5,11),(6,4),(6,5),(6,8),(7,10),(8,11),(9,8),(10,2)],12)
[12,7,1,8,2,9,3,10,5,4,6,11]=>([(1,11),(2,6),(2,11),(3,4),(3,5),(3,9),(4,10),(5,10),(6,3),(6,8),(8,9),(9,7),(10,7),(11,8)],12)
[11,1,12,7,2,8,3,9,5,4,6,10]=>([(0,11),(1,4),(1,5),(1,11),(2,7),(3,7),(4,8),(5,6),(5,8),(6,2),(6,3),(6,9),(7,10),(8,9),(9,10)],12)
[10,1,11,2,12,7,3,8,5,4,6,9]=>([(0,11),(1,6),(1,11),(2,9),(3,7),(4,7),(5,3),(5,4),(5,9),(6,2),(6,5),(6,8),(7,10),(9,10),(11,8)],12)
[9,1,10,2,11,3,12,7,5,4,6,8]=>([(0,11),(1,5),(1,11),(2,9),(3,7),(4,7),(5,6),(5,8),(6,2),(6,3),(6,4),(6,10),(7,9),(8,10),(11,8)],12)
[8,1,9,2,10,3,11,5,4,12,6,7]=>([(0,9),(1,5),(1,9),(3,10),(3,11),(4,10),(4,11),(5,6),(5,7),(6,3),(6,4),(6,8),(7,8),(8,11),(9,7),(10,2)],12)
[12,6,1,7,2,8,3,9,4,10,5,11]=>([(1,11),(2,6),(2,11),(3,5),(3,8),(4,7),(5,4),(5,10),(6,3),(6,9),(8,10),(9,8),(10,7),(11,9)],12)
[11,1,12,6,2,7,3,8,4,9,5,10]=>([(0,11),(1,2),(1,4),(1,11),(2,7),(3,8),(4,5),(4,7),(5,6),(5,10),(6,3),(6,9),(7,10),(9,8),(10,9)],12)
[10,1,11,2,12,6,3,7,4,8,5,9]=>([(0,11),(1,6),(1,11),(2,9),(3,7),(4,2),(4,10),(5,4),(5,7),(6,3),(6,5),(6,8),(7,10),(10,9),(11,8)],12)
[9,1,10,2,11,3,12,6,4,7,5,8]=>([(0,11),(1,5),(1,11),(2,9),(3,8),(4,2),(4,8),(5,6),(5,7),(6,3),(6,4),(6,10),(7,10),(8,9),(11,7)],12)
[8,1,9,2,10,3,11,4,12,6,5,7]=>([(0,11),(1,5),(1,11),(2,7),(3,7),(4,6),(4,10),(5,4),(5,8),(6,2),(6,3),(6,9),(8,10),(10,9),(11,8)],12)
[3,2,5,4,7,6,9,8,10,12,11,1]=>([(1,10),(1,11),(2,10),(2,11),(5,3),(5,4),(6,5),(7,5),(8,6),(8,7),(9,6),(9,7),(10,8),(10,9),(11,8),(11,9)],12)
[3,2,5,4,7,6,8,11,9,10,12,1]=>([(1,10),(1,11),(2,10),(2,11),(3,5),(4,7),(5,7),(6,3),(6,4),(8,6),(9,6),(10,8),(10,9),(11,8),(11,9)],12)
[3,2,5,4,7,6,8,10,9,12,11,1]=>([(1,10),(1,11),(2,10),(2,11),(3,6),(3,7),(4,6),(4,7),(5,3),(5,4),(8,5),(9,5),(10,8),(10,9),(11,8),(11,9)],12)
[3,2,5,4,7,6,8,9,12,10,11,1]=>([(1,10),(1,11),(2,10),(2,11),(3,5),(3,6),(6,4),(7,3),(8,7),(9,7),(10,8),(10,9),(11,8),(11,9)],12)
[3,2,5,4,6,9,7,8,11,10,12,1]=>([(1,10),(1,11),(2,10),(2,11),(3,5),(4,8),(4,9),(5,8),(5,9),(7,3),(7,4),(8,6),(9,6),(10,7),(11,7)],12)
[3,2,5,4,6,9,7,8,10,12,11,1]=>([(1,8),(1,9),(2,8),(2,9),(5,11),(6,11),(7,6),(8,10),(9,10),(10,5),(10,7),(11,3),(11,4)],12)
[3,2,5,4,6,8,7,11,9,10,12,1]=>([(1,10),(1,11),(2,10),(2,11),(3,6),(4,8),(4,9),(5,8),(5,9),(7,4),(7,5),(8,3),(9,6),(10,7),(11,7)],12)
[3,2,5,4,6,8,7,10,9,12,11,1]=>([(1,8),(1,9),(2,8),(2,9),(3,10),(3,11),(4,10),(4,11),(7,3),(7,4),(8,7),(9,7),(10,5),(10,6),(11,5),(11,6)],12)
[3,2,5,4,6,8,7,9,12,10,11,1]=>([(1,8),(1,9),(2,8),(2,9),(3,10),(4,10),(7,6),(8,11),(9,11),(10,5),(10,7),(11,3),(11,4)],12)
[3,2,5,4,6,7,11,8,9,10,12,1]=>([(1,10),(1,11),(2,10),(2,11),(3,8),(4,8),(5,6),(6,4),(7,3),(7,5),(9,7),(10,9),(11,9)],12)
[3,2,5,4,6,7,10,8,9,12,11,1]=>([(1,10),(1,11),(2,10),(2,11),(3,4),(3,6),(4,5),(5,7),(5,8),(6,7),(6,8),(9,3),(10,9),(11,9)],12)
[3,2,5,4,6,7,9,8,12,10,11,1]=>([(1,10),(1,11),(2,10),(2,11),(4,5),(4,6),(5,7),(5,9),(6,7),(6,9),(8,4),(9,3),(10,8),(11,8)],12)
[3,2,5,4,6,7,8,12,9,10,11,1]=>([(1,9),(1,10),(2,9),(2,10),(5,8),(6,7),(7,3),(8,4),(8,6),(9,11),(10,11),(11,5)],12)
[3,2,4,7,5,6,9,8,11,10,12,1]=>([(1,7),(2,7),(3,5),(4,10),(4,11),(5,10),(5,11),(7,3),(7,4),(8,6),(9,6),(10,8),(10,9),(11,8),(11,9)],12)
[3,2,4,7,5,6,9,8,10,12,11,1]=>([(1,10),(2,10),(5,8),(5,9),(6,8),(6,9),(7,6),(8,11),(9,11),(10,5),(10,7),(11,3),(11,4)],12)
[3,2,4,7,5,6,8,11,9,10,12,1]=>([(1,11),(2,11),(3,9),(4,10),(5,10),(6,9),(7,5),(8,3),(10,6),(10,8),(11,4),(11,7)],12)
[3,2,4,7,5,6,8,10,9,12,11,1]=>([(1,10),(2,10),(3,11),(4,11),(5,8),(5,9),(6,8),(6,9),(7,4),(10,3),(10,7),(11,5),(11,6)],12)
[3,2,4,7,5,6,8,9,12,10,11,1]=>([(1,11),(2,11),(5,10),(6,10),(7,6),(8,4),(9,3),(9,8),(10,9),(11,5),(11,7)],12)
[3,2,4,6,5,9,7,8,11,10,12,1]=>([(1,8),(2,8),(3,7),(3,11),(4,7),(4,11),(5,9),(5,10),(7,5),(8,3),(8,4),(9,6),(10,6),(11,9),(11,10)],12)
[3,2,4,6,5,9,7,8,10,12,11,1]=>([(1,11),(2,11),(3,8),(3,9),(4,8),(4,9),(5,10),(8,10),(9,5),(10,6),(10,7),(11,3),(11,4)],12)
[3,2,4,6,5,8,7,11,9,10,12,1]=>([(1,8),(2,8),(3,7),(4,10),(4,11),(5,10),(5,11),(6,3),(8,4),(8,5),(9,7),(10,6),(10,9),(11,6),(11,9)],12)
[3,2,4,6,5,8,7,10,9,12,11,1]=>([(1,7),(2,7),(3,10),(3,11),(4,10),(4,11),(7,3),(7,4),(8,5),(8,6),(9,5),(9,6),(10,8),(10,9),(11,8),(11,9)],12)
[3,2,4,6,5,8,7,9,12,10,11,1]=>([(1,11),(2,11),(5,8),(5,9),(6,8),(6,9),(7,4),(8,10),(9,10),(10,3),(10,7),(11,5),(11,6)],12)
[3,2,4,6,5,7,11,8,9,10,12,1]=>([(1,11),(2,11),(3,10),(4,10),(5,9),(6,9),(7,8),(8,6),(10,5),(10,7),(11,3),(11,4)],12)
[3,2,4,6,5,7,10,8,9,12,11,1]=>([(1,11),(2,11),(3,10),(4,10),(5,8),(5,9),(6,8),(6,9),(7,6),(10,5),(10,7),(11,3),(11,4)],12)
[3,2,4,6,5,7,9,8,12,10,11,1]=>([(1,11),(2,11),(4,10),(5,10),(6,8),(6,9),(7,8),(7,9),(9,3),(10,6),(10,7),(11,4),(11,5)],12)
[3,2,4,6,5,7,8,12,9,10,11,1]=>([(1,11),(2,11),(5,10),(6,10),(7,8),(8,4),(9,3),(9,7),(10,9),(11,5),(11,6)],12)
[3,2,4,5,9,6,7,8,11,10,12,1]=>([(1,11),(2,11),(3,8),(3,9),(4,8),(4,9),(5,6),(6,4),(7,3),(7,5),(8,10),(9,10),(11,7)],12)
[3,2,4,5,9,6,7,8,10,12,11,1]=>([(1,10),(2,10),(5,11),(6,11),(7,8),(8,6),(9,5),(9,7),(10,9),(11,3),(11,4)],12)
[3,2,4,5,8,6,7,11,9,10,12,1]=>([(1,10),(2,10),(3,9),(4,8),(4,11),(5,8),(5,11),(6,5),(7,4),(7,6),(8,9),(10,7),(11,3)],12)
[3,2,4,5,8,6,7,10,9,12,11,1]=>([(1,9),(2,9),(3,4),(3,6),(4,5),(5,10),(5,11),(6,10),(6,11),(9,3),(10,7),(10,8),(11,7),(11,8)],12)
[3,2,4,5,8,6,7,9,12,10,11,1]=>([(1,10),(2,10),(4,11),(6,11),(7,5),(8,6),(9,4),(9,8),(10,9),(11,3),(11,7)],12)
[3,2,4,5,7,6,11,8,9,10,12,1]=>([(1,11),(2,11),(3,10),(4,8),(4,9),(5,8),(5,9),(6,3),(7,4),(7,5),(8,10),(9,6),(11,7)],12)
[3,2,4,5,7,6,10,8,9,12,11,1]=>([(1,10),(2,10),(3,5),(3,6),(4,7),(4,8),(5,9),(5,11),(6,9),(6,11),(9,4),(10,3),(11,7),(11,8)],12)
[3,2,4,5,7,6,9,8,12,10,11,1]=>([(1,9),(2,9),(4,5),(4,6),(5,10),(5,11),(6,10),(6,11),(8,3),(9,4),(10,7),(10,8),(11,7),(11,8)],12)
[3,2,4,5,7,6,8,12,9,10,11,1]=>([(1,10),(2,10),(4,11),(5,11),(7,8),(8,6),(9,4),(9,5),(10,9),(11,3),(11,7)],12)
[3,2,4,5,6,11,7,8,9,10,12,1]=>([(1,11),(2,11),(3,10),(4,10),(5,8),(6,9),(7,5),(8,3),(9,4),(9,7),(11,6)],12)
[3,2,4,5,6,10,7,8,9,12,11,1]=>([(1,11),(2,11),(3,9),(3,10),(4,9),(4,10),(5,8),(6,7),(7,3),(8,4),(8,6),(11,5)],12)
[3,2,4,5,6,9,7,8,12,10,11,1]=>([(1,10),(2,10),(4,9),(4,11),(5,9),(5,11),(6,8),(7,5),(8,4),(8,7),(10,6),(11,3)],12)
[3,2,4,5,6,8,7,12,9,10,11,1]=>([(1,11),(2,11),(4,9),(4,10),(5,9),(5,10),(6,8),(7,3),(8,4),(8,5),(10,7),(11,6)],12)
[3,2,4,5,6,7,12,8,9,10,11,1]=>([(1,11),(2,11),(5,8),(6,10),(7,5),(8,3),(9,6),(10,4),(10,7),(11,9)],12)
[2,5,3,4,7,6,9,8,11,10,12,1]=>([(1,2),(1,4),(2,3),(3,10),(3,11),(4,10),(4,11),(6,5),(7,5),(8,6),(8,7),(9,6),(9,7),(10,8),(10,9),(11,8),(11,9)],12)
[2,5,3,4,7,6,9,8,10,12,11,1]=>([(1,5),(1,6),(4,7),(4,8),(5,7),(5,8),(6,4),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11),(11,2),(11,3)],12)
[2,5,3,4,7,6,8,11,9,10,12,1]=>([(1,5),(1,7),(2,8),(3,8),(4,9),(4,10),(5,9),(5,10),(6,3),(7,4),(9,11),(10,11),(11,2),(11,6)],12)
[2,5,3,4,7,6,8,10,9,12,11,1]=>([(1,5),(1,6),(2,7),(2,8),(3,7),(3,8),(4,9),(4,10),(5,9),(5,10),(6,4),(9,11),(10,11),(11,2),(11,3)],12)
[2,5,3,4,7,6,8,9,12,10,11,1]=>([(1,5),(1,7),(4,9),(4,10),(5,9),(5,10),(6,3),(7,4),(8,2),(8,6),(9,11),(10,11),(11,8)],12)
[2,5,3,4,6,9,7,8,11,10,12,1]=>([(1,3),(1,7),(2,11),(3,11),(4,8),(4,9),(5,8),(5,9),(6,5),(7,2),(8,10),(9,10),(11,4),(11,6)],12)
[2,5,3,4,6,9,7,8,10,12,11,1]=>([(1,6),(1,8),(2,11),(5,10),(6,10),(7,11),(8,5),(9,2),(10,7),(10,9),(11,3),(11,4)],12)
[2,5,3,4,6,8,7,11,9,10,12,1]=>([(1,4),(1,7),(2,9),(3,11),(4,11),(5,8),(5,10),(6,8),(6,10),(7,3),(8,9),(10,2),(11,5),(11,6)],12)
[2,5,3,4,6,8,7,10,9,12,11,1]=>([(1,3),(1,6),(2,11),(3,11),(4,7),(4,8),(5,7),(5,8),(6,2),(7,9),(7,10),(8,9),(8,10),(11,4),(11,5)],12)
[2,5,3,4,6,8,7,9,12,10,11,1]=>([(1,4),(1,8),(3,11),(4,11),(5,10),(6,10),(8,3),(9,2),(10,7),(10,9),(11,5),(11,6)],12)
[2,5,3,4,6,7,11,8,9,10,12,1]=>([(1,5),(1,8),(2,11),(3,10),(4,10),(5,11),(6,7),(7,4),(8,2),(9,3),(9,6),(11,9)],12)
[2,5,3,4,6,7,10,8,9,12,11,1]=>([(1,3),(1,7),(2,11),(3,11),(4,9),(4,10),(5,9),(5,10),(6,5),(7,2),(8,4),(8,6),(11,8)],12)
[2,5,3,4,6,7,9,8,12,10,11,1]=>([(1,6),(1,7),(3,9),(3,11),(4,9),(4,11),(5,10),(6,10),(7,5),(8,3),(8,4),(10,8),(11,2)],12)
[2,5,3,4,6,7,8,12,9,10,11,1]=>([(1,5),(1,8),(4,11),(5,11),(6,7),(7,3),(8,4),(9,10),(10,2),(10,6),(11,9)],12)
[2,4,3,7,5,6,9,8,11,10,12,1]=>([(1,3),(1,4),(2,9),(2,10),(3,6),(3,11),(4,6),(4,11),(6,2),(7,5),(8,5),(9,7),(9,8),(10,7),(10,8),(11,9),(11,10)],12)
[2,4,3,7,5,6,9,8,10,12,11,1]=>([(1,4),(1,5),(4,7),(4,10),(5,7),(5,10),(6,8),(6,9),(7,8),(7,9),(8,11),(9,11),(10,6),(11,2),(11,3)],12)
[2,4,3,7,5,6,8,11,9,10,12,1]=>([(1,5),(1,6),(2,11),(3,8),(4,8),(5,9),(5,10),(6,9),(6,10),(7,4),(9,11),(10,2),(11,3),(11,7)],12)
[2,4,3,7,5,6,8,10,9,12,11,1]=>([(1,3),(1,4),(2,11),(3,9),(3,10),(4,9),(4,10),(5,7),(5,8),(6,7),(6,8),(9,11),(10,2),(11,5),(11,6)],12)
[2,4,3,7,5,6,8,9,12,10,11,1]=>([(1,5),(1,6),(2,10),(5,9),(5,11),(6,9),(6,11),(7,4),(8,3),(8,7),(9,10),(10,8),(11,2)],12)
[2,4,3,6,5,9,7,8,11,10,12,1]=>([(1,3),(1,4),(2,7),(2,8),(3,10),(3,11),(4,10),(4,11),(5,2),(7,6),(8,6),(9,7),(9,8),(10,5),(10,9),(11,5),(11,9)],12)
[2,4,3,6,5,9,7,8,10,12,11,1]=>([(1,5),(1,6),(4,11),(5,7),(5,8),(6,7),(6,8),(7,9),(7,10),(8,9),(8,10),(9,11),(10,4),(11,2),(11,3)],12)
[2,4,3,6,5,8,7,11,9,10,12,1]=>([(1,3),(1,4),(2,6),(3,10),(3,11),(4,10),(4,11),(5,2),(7,6),(8,5),(8,7),(9,5),(9,7),(10,8),(10,9),(11,8),(11,9)],12)
[2,4,3,6,5,8,7,9,12,10,11,1]=>([(1,4),(1,5),(4,7),(4,8),(5,7),(5,8),(6,3),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11),(11,2),(11,6)],12)
[2,4,3,6,5,7,11,8,9,10,12,1]=>([(1,4),(1,5),(2,8),(3,8),(4,9),(4,10),(5,9),(5,10),(6,7),(7,3),(9,11),(10,11),(11,2),(11,6)],12)
[2,4,3,6,5,7,10,8,9,12,11,1]=>([(1,4),(1,5),(2,7),(2,8),(3,7),(3,8),(4,9),(4,10),(5,9),(5,10),(6,3),(9,11),(10,11),(11,2),(11,6)],12)
[2,4,3,6,5,7,9,8,12,10,11,1]=>([(1,5),(1,6),(3,7),(3,10),(4,7),(4,10),(5,8),(5,9),(6,8),(6,9),(8,11),(9,11),(10,2),(11,3),(11,4)],12)
[2,4,3,6,5,7,8,12,9,10,11,1]=>([(1,4),(1,5),(4,9),(4,10),(5,9),(5,10),(6,7),(7,3),(8,2),(8,6),(9,11),(10,11),(11,8)],12)
[2,4,3,5,9,6,7,8,11,10,12,1]=>([(1,2),(1,3),(2,11),(3,11),(4,8),(4,9),(5,8),(5,9),(6,7),(7,5),(8,10),(9,10),(11,4),(11,6)],12)
[2,4,3,5,9,6,7,8,10,12,11,1]=>([(1,5),(1,6),(4,11),(5,10),(6,10),(7,11),(8,4),(9,8),(10,7),(10,9),(11,2),(11,3)],12)
[2,4,3,5,8,6,7,11,9,10,12,1]=>([(1,3),(1,4),(2,9),(3,11),(4,11),(5,8),(5,10),(6,8),(6,10),(7,6),(8,9),(10,2),(11,5),(11,7)],12)
[2,4,3,5,8,6,7,10,9,12,11,1]=>([(1,2),(1,3),(2,11),(3,11),(4,7),(4,8),(5,7),(5,8),(6,5),(7,9),(7,10),(8,9),(8,10),(11,4),(11,6)],12)
[2,4,3,5,8,6,7,9,12,10,11,1]=>([(1,4),(1,5),(3,11),(4,10),(5,10),(7,11),(8,3),(9,2),(10,7),(10,8),(11,6),(11,9)],12)
[2,4,3,5,7,6,11,8,9,10,12,1]=>([(1,3),(1,4),(2,10),(3,11),(4,11),(5,8),(5,9),(6,8),(6,9),(7,2),(8,10),(9,7),(11,5),(11,6)],12)
[2,4,3,5,7,6,10,8,9,12,11,1]=>([(1,4),(1,5),(2,7),(2,10),(3,7),(3,10),(4,11),(5,11),(6,8),(6,9),(7,8),(7,9),(10,6),(11,2),(11,3)],12)
[2,4,3,5,7,6,9,8,12,10,11,1]=>([(1,3),(1,4),(3,11),(4,11),(5,7),(5,8),(6,7),(6,8),(7,9),(7,10),(8,9),(8,10),(10,2),(11,5),(11,6)],12)
[2,4,3,5,7,6,8,12,9,10,11,1]=>([(1,3),(1,4),(3,11),(4,11),(5,10),(6,10),(8,2),(9,8),(10,7),(10,9),(11,5),(11,6)],12)
[2,4,3,5,6,11,7,8,9,10,12,1]=>([(1,4),(1,5),(2,10),(3,10),(4,11),(5,11),(6,8),(7,3),(8,7),(9,2),(9,6),(11,9)],12)
[2,4,3,5,6,10,7,8,9,12,11,1]=>([(1,2),(1,3),(2,11),(3,11),(4,9),(4,10),(5,9),(5,10),(6,7),(7,5),(8,4),(8,6),(11,8)],12)
[2,4,3,5,6,9,7,8,12,10,11,1]=>([(1,5),(1,6),(3,9),(3,11),(4,9),(4,11),(5,10),(6,10),(7,4),(8,3),(8,7),(10,8),(11,2)],12)
[2,4,3,5,6,8,7,12,9,10,11,1]=>([(1,3),(1,4),(3,10),(4,10),(5,9),(5,11),(6,9),(6,11),(7,2),(8,5),(8,6),(10,8),(11,7)],12)
[2,4,3,5,6,7,12,8,9,10,11,1]=>([(1,4),(1,5),(4,11),(5,11),(6,8),(7,3),(8,7),(9,10),(10,2),(10,6),(11,9)],12)
[2,3,7,4,5,6,9,8,11,10,12,1]=>([(1,6),(2,7),(2,8),(3,7),(3,8),(4,5),(5,3),(6,2),(6,4),(7,10),(7,11),(8,10),(8,11),(10,9),(11,9)],12)
[2,3,7,4,5,6,9,8,10,12,11,1]=>([(1,8),(4,9),(4,10),(5,9),(5,10),(6,7),(7,5),(8,4),(8,6),(9,11),(10,11),(11,2),(11,3)],12)
[2,3,7,4,5,6,8,11,9,10,12,1]=>([(1,9),(2,11),(3,11),(4,10),(5,10),(6,5),(7,8),(8,3),(9,2),(9,7),(11,4),(11,6)],12)
[2,3,7,4,5,6,8,10,9,12,11,1]=>([(1,8),(2,11),(3,11),(4,9),(4,10),(5,9),(5,10),(6,7),(7,3),(8,2),(8,6),(11,4),(11,5)],12)
[2,3,7,4,5,6,8,9,12,10,11,1]=>([(1,9),(4,11),(5,11),(6,3),(7,8),(8,5),(9,4),(9,7),(10,2),(10,6),(11,10)],12)
[2,3,6,4,5,9,7,8,11,10,12,1]=>([(1,6),(2,7),(2,11),(3,7),(3,11),(4,8),(4,9),(5,3),(6,2),(6,5),(7,8),(7,9),(8,10),(9,10),(11,4)],12)
[2,3,6,4,5,9,7,8,10,12,11,1]=>([(1,8),(4,11),(5,9),(5,10),(6,9),(6,10),(7,6),(8,5),(8,7),(9,11),(10,4),(11,2),(11,3)],12)
[2,3,6,4,5,8,7,11,9,10,12,1]=>([(1,6),(2,9),(3,7),(3,8),(4,7),(4,8),(5,4),(6,3),(6,5),(7,10),(7,11),(8,10),(8,11),(10,9),(11,2)],12)
[2,3,6,4,5,8,7,10,9,12,11,1]=>([(1,3),(2,5),(3,2),(3,4),(4,10),(4,11),(5,10),(5,11),(8,6),(8,7),(9,6),(9,7),(10,8),(10,9),(11,8),(11,9)],12)
[2,3,6,4,5,8,7,9,12,10,11,1]=>([(1,8),(4,9),(4,10),(5,9),(5,10),(6,3),(7,5),(8,4),(8,7),(9,11),(10,11),(11,2),(11,6)],12)
[2,3,6,4,5,7,11,8,9,10,12,1]=>([(1,9),(2,11),(3,11),(4,10),(5,10),(6,8),(7,3),(8,5),(9,2),(9,7),(11,4),(11,6)],12)
[2,3,6,4,5,7,10,8,9,12,11,1]=>([(1,8),(2,11),(3,11),(4,9),(4,10),(5,9),(5,10),(6,5),(7,3),(8,2),(8,7),(11,4),(11,6)],12)
[2,3,6,4,5,7,9,8,12,10,11,1]=>([(1,8),(3,11),(4,11),(5,9),(5,10),(6,9),(6,10),(7,4),(8,3),(8,7),(10,2),(11,5),(11,6)],12)
[2,3,6,4,5,7,8,12,9,10,11,1]=>([(1,9),(4,11),(5,11),(6,8),(7,5),(8,3),(9,4),(9,7),(10,2),(10,6),(11,10)],12)
[2,3,5,4,9,6,7,8,11,10,12,1]=>([(1,6),(2,9),(2,10),(3,7),(3,8),(4,7),(4,8),(5,2),(6,3),(6,4),(7,9),(7,10),(8,5),(9,11),(10,11)],12)
[2,3,5,4,9,6,7,8,10,12,11,1]=>([(1,8),(4,11),(5,9),(5,10),(6,9),(6,10),(7,4),(8,5),(8,6),(9,11),(10,7),(11,2),(11,3)],12)
[2,3,5,4,8,6,7,11,9,10,12,1]=>([(1,6),(2,7),(2,10),(3,7),(3,10),(4,8),(5,9),(5,11),(6,2),(6,3),(7,9),(7,11),(9,8),(10,5),(11,4)],12)
[2,3,5,4,8,6,7,10,9,12,11,1]=>([(1,2),(2,4),(2,5),(3,9),(3,10),(4,8),(4,11),(5,8),(5,11),(8,3),(9,6),(9,7),(10,6),(10,7),(11,9),(11,10)],12)
[2,3,5,4,8,6,7,9,12,10,11,1]=>([(1,8),(3,9),(3,10),(4,9),(4,10),(6,11),(7,2),(8,3),(8,4),(9,11),(10,6),(11,5),(11,7)],12)
[2,3,5,4,7,6,11,8,9,10,12,1]=>([(1,6),(2,9),(3,7),(3,8),(4,7),(4,8),(5,2),(6,3),(6,4),(7,10),(7,11),(8,10),(8,11),(10,9),(11,5)],12)
[2,3,5,4,7,6,10,8,9,12,11,1]=>([(1,2),(2,4),(2,5),(3,7),(3,8),(4,10),(4,11),(5,10),(5,11),(6,3),(9,7),(9,8),(10,6),(10,9),(11,6),(11,9)],12)
[2,3,5,4,7,6,9,8,12,10,11,1]=>([(1,3),(3,4),(3,5),(4,10),(4,11),(5,10),(5,11),(7,2),(8,6),(8,7),(9,6),(9,7),(10,8),(10,9),(11,8),(11,9)],12)
[2,3,5,4,7,6,8,12,9,10,11,1]=>([(1,8),(4,9),(4,10),(5,9),(5,10),(6,7),(7,3),(8,4),(8,5),(9,11),(10,11),(11,2),(11,6)],12)
[2,3,5,4,6,11,7,8,9,10,12,1]=>([(1,9),(2,11),(3,11),(4,10),(5,10),(6,8),(7,5),(8,7),(9,2),(9,3),(11,4),(11,6)],12)
[2,3,5,4,6,10,7,8,9,12,11,1]=>([(1,8),(2,11),(3,11),(4,9),(4,10),(5,9),(5,10),(6,7),(7,5),(8,2),(8,3),(11,4),(11,6)],12)
[2,3,5,4,6,9,7,8,12,10,11,1]=>([(1,8),(2,11),(3,11),(4,9),(4,10),(6,9),(6,10),(7,4),(8,2),(8,3),(10,5),(11,6),(11,7)],12)
[2,3,5,4,6,8,7,12,9,10,11,1]=>([(1,8),(2,11),(3,11),(5,9),(5,10),(6,9),(6,10),(7,4),(8,2),(8,3),(10,7),(11,5),(11,6)],12)
[2,3,5,4,6,7,12,8,9,10,11,1]=>([(1,9),(4,11),(5,11),(6,8),(7,3),(8,7),(9,4),(9,5),(10,2),(10,6),(11,10)],12)
[2,3,4,9,5,6,7,8,11,10,12,1]=>([(1,7),(2,9),(2,10),(3,9),(3,10),(4,6),(5,4),(6,2),(7,8),(8,3),(8,5),(9,11),(10,11)],12)
[2,3,4,9,5,6,7,8,10,12,11,1]=>([(1,9),(2,11),(3,11),(6,8),(7,3),(8,7),(9,10),(10,2),(10,6),(11,4),(11,5)],12)
[2,3,4,8,5,6,7,11,9,10,12,1]=>([(1,7),(2,10),(3,9),(3,11),(4,9),(4,11),(5,6),(6,4),(7,8),(8,3),(8,5),(9,10),(11,2)],12)
[2,3,4,8,5,6,7,10,9,12,11,1]=>([(1,6),(2,8),(2,9),(3,8),(3,9),(4,5),(5,2),(6,7),(7,3),(7,4),(8,10),(8,11),(9,10),(9,11)],12)
[2,3,4,8,5,6,7,9,12,10,11,1]=>([(1,8),(3,11),(4,11),(6,7),(7,4),(8,10),(9,2),(10,3),(10,6),(11,5),(11,9)],12)
[2,3,4,7,5,6,11,8,9,10,12,1]=>([(1,6),(2,11),(3,9),(3,10),(4,9),(4,10),(5,4),(6,8),(7,2),(8,3),(8,5),(9,11),(10,7)],12)
[2,3,4,7,5,6,10,8,9,12,11,1]=>([(1,6),(2,8),(2,11),(3,8),(3,11),(4,9),(4,10),(5,3),(6,7),(7,2),(7,5),(8,9),(8,10),(11,4)],12)
[2,3,4,7,5,6,9,8,12,10,11,1]=>([(1,6),(3,8),(3,9),(4,8),(4,9),(5,4),(6,7),(7,3),(7,5),(8,10),(8,11),(9,10),(9,11),(11,2)],12)
[2,3,4,7,5,6,8,12,9,10,11,1]=>([(1,8),(3,11),(4,11),(6,2),(7,4),(8,10),(9,6),(10,3),(10,7),(11,5),(11,9)],12)
[2,3,4,6,5,11,7,8,9,10,12,1]=>([(1,6),(2,11),(3,9),(3,10),(4,9),(4,10),(5,2),(6,8),(7,5),(8,3),(8,4),(9,11),(10,7)],12)
[2,3,4,6,5,10,7,8,9,12,11,1]=>([(1,5),(2,10),(2,11),(3,8),(3,9),(4,8),(4,9),(5,7),(6,2),(7,3),(7,4),(8,10),(8,11),(9,6)],12)
[2,3,4,6,5,9,7,8,12,10,11,1]=>([(1,6),(3,9),(3,11),(4,8),(4,10),(5,8),(5,10),(6,7),(7,4),(7,5),(8,9),(8,11),(10,3),(11,2)],12)
[2,3,4,6,5,8,7,12,9,10,11,1]=>([(1,5),(3,8),(3,9),(4,8),(4,9),(5,7),(6,2),(7,3),(7,4),(8,10),(8,11),(9,10),(9,11),(11,6)],12)
[2,3,4,6,5,7,12,8,9,10,11,1]=>([(1,8),(3,11),(4,11),(6,7),(7,2),(8,10),(9,6),(10,3),(10,4),(11,5),(11,9)],12)
[2,3,4,5,11,6,7,8,9,10,12,1]=>([(1,9),(2,11),(3,11),(4,5),(5,8),(6,10),(7,4),(8,2),(9,6),(10,3),(10,7)],12)
[2,3,4,5,10,6,7,8,9,12,11,1]=>([(1,8),(2,10),(2,11),(3,10),(3,11),(4,7),(5,9),(6,4),(7,2),(8,5),(9,3),(9,6)],12)
[2,3,4,5,9,6,7,8,12,10,11,1]=>([(1,8),(2,10),(2,11),(3,10),(3,11),(5,9),(6,7),(7,2),(8,5),(9,3),(9,6),(11,4)],12)
[2,3,4,5,8,6,7,12,9,10,11,1]=>([(1,8),(3,10),(3,11),(4,10),(4,11),(5,2),(6,9),(7,3),(8,6),(9,4),(9,7),(11,5)],12)
[2,3,4,5,7,6,12,8,9,10,11,1]=>([(1,8),(3,10),(3,11),(4,10),(4,11),(5,2),(6,5),(7,9),(8,7),(9,3),(9,4),(11,6)],12)
[12,11,9,5,10,7,1,2,4,8,3,6]=>([(2,9),(3,6),(4,5),(4,9),(4,11),(5,10),(6,7),(6,8),(7,11),(8,10),(8,11)],12)
[11,9,5,12,10,7,1,2,4,8,3,6]=>([(0,10),(1,8),(1,10),(2,5),(3,4),(3,8),(3,10),(3,11),(4,9),(5,6),(5,7),(6,11),(7,9),(7,11)],12)
[10,7,1,2,4,9,5,12,11,8,3,6]=>([(0,10),(0,11),(1,8),(1,9),(2,6),(3,7),(4,7),(4,8),(4,10),(4,11),(5,4),(5,9),(6,3),(6,5),(9,10),(9,11)],12)
[12,10,7,1,2,4,9,5,11,8,3,6]=>([(1,4),(2,11),(3,8),(3,9),(4,5),(4,7),(5,10),(6,8),(6,10),(6,11),(7,6),(7,9),(9,11)],12)
[10,7,1,2,4,12,9,5,11,8,3,6]=>([(0,10),(0,11),(1,8),(1,9),(1,11),(2,6),(3,7),(4,7),(4,8),(4,10),(5,4),(5,9),(5,11),(6,3),(6,5),(9,10)],12)
[8,3,7,1,2,4,12,11,9,5,10,6]=>([(0,9),(0,10),(0,11),(1,4),(2,5),(2,8),(4,8),(5,9),(5,10),(5,11),(6,3),(6,7),(8,6),(8,9),(8,10),(8,11),(11,7)],12)
[8,3,7,1,2,4,11,9,5,12,10,6]=>([(0,9),(0,11),(1,4),(2,5),(2,8),(4,8),(5,9),(5,11),(6,3),(6,7),(6,10),(8,6),(8,9),(8,11),(9,10),(11,7),(11,10)],12)
[12,11,8,3,7,1,2,4,9,5,10,6]=>([(2,11),(3,5),(4,6),(4,10),(5,10),(6,11),(7,8),(7,9),(10,7),(10,11),(11,9)],12)
[11,8,3,7,1,2,4,9,5,12,10,6]=>([(0,11),(1,10),(2,5),(3,4),(3,9),(4,11),(5,9),(6,7),(6,8),(6,10),(9,6),(9,11),(11,8),(11,10)],12)
[12,9,5,11,8,3,7,1,2,4,10,6]=>([(1,9),(1,10),(2,7),(2,11),(3,5),(4,6),(4,7),(4,8),(4,9),(5,10),(6,11),(9,11),(10,8),(10,11)],12)
[8,3,12,11,7,1,2,4,9,5,10,6]=>([(0,8),(0,9),(0,11),(1,5),(2,4),(2,8),(2,9),(2,10),(4,11),(5,10),(6,3),(6,7),(10,6),(10,11),(11,7)],12)
[8,3,11,7,1,2,4,9,5,12,10,6]=>([(0,8),(0,10),(1,5),(2,4),(2,8),(2,9),(4,10),(5,9),(6,3),(6,7),(6,11),(8,11),(9,6),(9,10),(10,7),(10,11)],12)
[8,3,12,9,5,11,7,1,2,4,10,6]=>([(0,4),(1,8),(1,10),(2,5),(2,8),(2,9),(2,10),(3,11),(4,9),(5,3),(5,6),(5,7),(9,7),(9,11),(10,6),(10,11)],12)
[12,8,3,9,5,11,7,1,2,4,10,6]=>([(1,7),(2,4),(3,5),(3,7),(3,9),(4,9),(5,6),(5,8),(5,10),(6,11),(7,8),(7,11),(9,10),(9,11)],12)
[10,7,1,2,5,12,11,9,4,8,3,6]=>([(0,10),(0,11),(1,7),(1,9),(1,10),(1,11),(2,6),(3,8),(4,8),(4,9),(5,7),(5,8),(5,9),(5,10),(5,11),(6,3),(6,4),(6,5)],12)
[12,10,7,1,2,5,11,9,4,8,3,6]=>([(1,4),(2,9),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(5,11),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[9,4,10,7,1,2,5,12,11,8,3,6]=>([(0,5),(1,6),(2,4),(2,6),(2,9),(3,7),(4,8),(4,10),(4,11),(5,3),(5,9),(6,10),(6,11),(9,7),(9,8),(9,10),(9,11)],12)
[9,4,12,10,7,1,2,5,11,8,3,6]=>([(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(2,10),(3,8),(4,9),(4,11),(5,3),(5,10),(7,11),(10,8),(10,9),(10,11)],12)
[12,9,4,10,7,1,2,5,11,8,3,6]=>([(1,8),(2,4),(3,5),(3,8),(3,10),(4,6),(4,10),(5,9),(5,11),(6,7),(8,11),(10,7),(10,9),(10,11)],12)
[12,11,9,4,8,3,7,1,2,5,10,6]=>([(2,11),(3,9),(3,10),(4,7),(5,6),(5,9),(5,10),(6,11),(7,10),(9,11),(10,8),(10,11)],12)
[11,9,4,8,3,7,1,2,5,12,10,6]=>([(0,11),(1,10),(1,11),(2,8),(2,9),(3,6),(4,5),(4,8),(4,9),(5,10),(5,11),(6,9),(8,10),(8,11),(9,7),(9,10),(9,11)],12)
[9,4,12,11,8,3,7,1,2,5,10,6]=>([(0,9),(0,10),(1,7),(1,8),(1,11),(2,5),(3,4),(3,7),(3,8),(3,9),(3,10),(4,11),(5,10),(9,11),(10,6),(10,11)],12)
[9,4,11,8,3,7,1,2,5,12,10,6]=>([(0,7),(0,10),(1,8),(1,9),(2,5),(3,4),(3,7),(3,8),(3,9),(4,10),(4,11),(5,9),(7,11),(8,10),(8,11),(9,6),(9,10),(9,11)],12)
[11,8,3,7,1,2,5,12,9,4,10,6]=>([(0,11),(1,10),(1,11),(2,4),(3,5),(3,8),(3,9),(4,8),(4,9),(5,10),(5,11),(8,6),(8,10),(8,11),(9,6),(9,7),(10,7)],12)
[8,3,9,4,12,11,7,1,2,5,10,6]=>([(0,9),(1,5),(2,6),(2,9),(4,11),(5,10),(6,4),(6,7),(6,8),(6,10),(9,7),(9,8),(9,11),(10,3),(10,11)],12)
[8,3,9,4,11,7,1,2,5,12,10,6]=>([(0,8),(1,5),(2,6),(2,8),(4,10),(4,11),(5,9),(6,4),(6,7),(6,9),(7,11),(8,7),(8,10),(9,3),(9,10),(9,11)],12)
[8,3,11,7,1,2,5,12,9,4,10,6]=>([(0,4),(1,7),(1,11),(2,3),(2,7),(2,8),(2,9),(3,10),(3,11),(4,8),(4,9),(7,10),(8,6),(8,10),(8,11),(9,5),(9,6),(11,5)],12)
[11,7,1,2,5,12,8,3,9,4,10,6]=>([(0,11),(1,10),(1,11),(2,6),(3,7),(3,9),(4,7),(4,10),(4,11),(5,3),(5,8),(6,4),(6,5),(8,9),(10,8)],12)
[10,5,12,11,9,4,8,3,7,1,2,6]=>([(0,10),(0,11),(1,9),(1,10),(1,11),(2,7),(2,8),(3,6),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(6,11)],12)
[12,10,5,11,9,4,8,3,7,1,2,6]=>([(1,10),(1,11),(2,9),(3,8),(3,10),(3,11),(4,7),(5,6),(5,8),(5,9),(5,10),(5,11),(7,11)],12)
[9,4,10,5,12,11,8,3,7,1,2,6]=>([(0,7),(1,8),(1,11),(2,4),(3,5),(3,7),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(7,9),(7,10)],12)
[9,4,12,10,5,11,8,3,7,1,2,6]=>([(0,9),(0,11),(1,7),(1,8),(2,4),(3,5),(3,7),(3,8),(4,11),(5,6),(5,9),(5,10),(5,11),(8,10)],12)
[12,9,4,10,5,11,8,3,7,1,2,6]=>([(1,8),(2,9),(2,11),(3,5),(4,6),(4,8),(5,11),(6,7),(6,9),(6,10),(6,11),(8,10)],12)
[8,3,9,4,10,5,12,11,7,1,2,6]=>([(0,4),(1,10),(2,5),(2,10),(4,9),(5,6),(5,11),(6,3),(6,7),(6,8),(6,9),(10,11),(11,7),(11,8)],12)
[8,3,9,4,12,10,5,11,7,1,2,6]=>([(0,4),(1,11),(2,6),(2,11),(4,9),(5,3),(5,8),(5,9),(6,5),(6,7),(6,10),(10,8),(11,7),(11,10)],12)
[8,3,12,9,4,10,5,11,7,1,2,6]=>([(0,4),(1,9),(1,11),(2,5),(2,9),(2,11),(4,8),(5,6),(5,10),(6,3),(6,7),(6,8),(10,7),(11,10)],12)
[12,8,3,9,4,10,5,11,7,1,2,6]=>([(1,8),(2,5),(3,4),(3,8),(4,7),(4,11),(5,10),(7,6),(7,9),(7,10),(8,11),(11,9)],12)
[7,1,2,8,3,9,4,10,5,12,11,6]=>([(0,11),(1,4),(3,5),(3,7),(4,3),(4,11),(5,6),(5,10),(6,2),(6,8),(6,9),(7,10),(10,8),(10,9),(11,7)],12)
[7,1,2,8,3,9,4,12,10,5,11,6]=>([(0,11),(1,4),(3,6),(3,7),(4,3),(4,11),(5,2),(5,8),(6,5),(6,9),(6,10),(7,9),(7,10),(10,8),(11,7)],12)
[7,1,2,8,3,12,9,4,10,5,11,6]=>([(0,11),(1,5),(3,4),(3,9),(4,2),(4,10),(5,6),(5,11),(6,3),(6,7),(6,8),(8,9),(9,10),(11,7),(11,8)],12)
[7,1,2,12,8,3,9,4,10,5,11,6]=>([(0,10),(0,11),(1,4),(3,5),(3,7),(4,3),(4,10),(4,11),(5,6),(5,9),(6,2),(6,8),(7,9),(9,8),(11,7)],12)
[12,7,1,2,8,3,9,4,10,5,11,6]=>([(1,11),(2,5),(4,6),(4,8),(5,4),(5,11),(6,7),(6,10),(7,3),(7,9),(8,10),(10,9),(11,8)],12)
[8,2,4,12,11,9,5,10,7,1,3,6]=>([(0,11),(1,5),(1,11),(2,8),(2,9),(2,10),(4,3),(4,6),(4,7),(5,4),(5,8),(5,9),(5,10),(10,7),(11,6)],12)
[8,2,4,11,9,5,12,10,7,1,3,6]=>([(0,10),(1,5),(1,10),(2,6),(2,9),(4,3),(4,7),(4,8),(4,11),(5,4),(5,6),(5,9),(6,11),(9,8),(9,11),(10,7)],12)
[12,11,8,2,4,9,5,10,7,1,3,6]=>([(2,8),(3,9),(4,5),(4,8),(5,7),(5,9),(7,6),(7,10),(7,11),(8,10),(9,11)],12)
[11,8,2,4,9,5,12,10,7,1,3,6]=>([(0,11),(1,7),(2,8),(3,4),(3,7),(4,6),(4,8),(6,5),(6,9),(6,10),(6,11),(7,9),(8,10),(8,11)],12)
[12,9,5,11,8,2,4,10,7,1,3,6]=>([(1,8),(2,7),(2,11),(3,6),(3,8),(4,5),(4,7),(4,9),(4,10),(5,11),(6,9),(6,10),(6,11),(8,10)],12)
[7,1,3,8,2,4,12,11,9,5,10,6]=>([(0,4),(0,5),(1,10),(3,2),(3,8),(4,11),(5,10),(5,11),(9,8),(10,6),(10,7),(10,9),(11,3),(11,6),(11,7),(11,9)],12)
[7,1,3,8,2,4,11,9,5,12,10,6]=>([(0,4),(0,5),(1,9),(3,2),(3,7),(3,11),(4,10),(5,9),(5,10),(6,11),(8,7),(8,11),(9,6),(9,8),(10,3),(10,6),(10,8)],12)
[7,1,3,12,11,8,2,4,9,5,10,6]=>([(0,4),(0,5),(1,6),(1,7),(1,10),(3,2),(3,8),(4,11),(5,6),(5,7),(5,10),(5,11),(9,8),(10,9),(11,3),(11,9)],12)
[7,1,3,11,8,2,4,9,5,12,10,6]=>([(0,4),(0,5),(1,6),(1,8),(3,2),(3,7),(3,11),(4,10),(5,6),(5,8),(5,10),(6,11),(8,9),(9,7),(9,11),(10,3),(10,9)],12)
[7,1,3,12,9,5,11,8,2,4,10,6]=>([(0,2),(0,4),(1,5),(1,8),(1,10),(2,9),(3,6),(3,7),(3,8),(4,3),(4,5),(4,9),(4,10),(8,11),(9,7),(9,11),(10,6),(10,11)],12)
[12,11,7,1,3,8,2,4,9,5,10,6]=>([(2,9),(3,4),(3,5),(4,11),(5,9),(5,11),(6,7),(6,10),(8,10),(9,8),(11,6),(11,8)],12)
[11,7,1,3,8,2,4,9,5,12,10,6]=>([(0,10),(1,11),(2,4),(2,5),(4,7),(5,7),(5,10),(6,3),(6,8),(6,11),(7,6),(7,9),(9,8),(9,11),(10,9)],12)
[12,9,5,11,7,1,3,8,2,4,10,6]=>([(1,8),(1,11),(2,6),(2,7),(2,8),(3,4),(3,5),(4,10),(5,9),(5,10),(6,9),(9,11),(10,7),(10,11)],12)
[11,7,1,3,9,5,12,8,2,4,10,6]=>([(0,11),(1,3),(1,5),(2,6),(2,8),(3,9),(4,7),(4,8),(4,11),(5,4),(5,6),(5,9),(6,10),(6,11),(8,10),(9,7),(9,10)],12)
[12,11,9,4,8,2,5,10,7,1,3,6]=>([(2,11),(3,8),(4,8),(4,10),(5,7),(5,10),(7,11),(8,9),(10,6),(10,9),(10,11)],12)
[11,9,4,8,2,5,12,10,7,1,3,6]=>([(0,11),(1,10),(1,11),(2,7),(3,7),(3,9),(4,6),(4,9),(6,10),(6,11),(7,8),(9,5),(9,8),(9,10),(9,11)],12)
[9,4,12,11,8,2,5,10,7,1,3,6]=>([(0,9),(1,9),(1,10),(2,7),(2,8),(2,11),(3,5),(3,7),(3,8),(3,10),(5,11),(9,6),(10,4),(10,6),(10,11)],12)
[9,4,11,8,2,5,12,10,7,1,3,6]=>([(0,6),(1,6),(1,9),(2,7),(2,10),(3,5),(3,7),(3,9),(5,10),(5,11),(6,8),(7,11),(9,4),(9,8),(9,10),(9,11)],12)
[11,8,2,5,12,9,4,10,7,1,3,6]=>([(0,6),(1,10),(2,7),(2,10),(3,4),(3,5),(3,6),(4,8),(4,9),(4,11),(5,7),(5,9),(5,10),(5,11),(6,11),(7,8)],12)
[7,1,3,12,11,9,4,8,2,5,10,6]=>([(0,3),(0,5),(1,6),(1,7),(1,8),(1,9),(3,10),(4,9),(4,10),(5,4),(5,6),(5,7),(5,8),(8,11),(9,11),(10,2),(10,11)],12)
[7,1,3,11,9,4,8,2,5,12,10,6]=>([(0,6),(0,7),(0,8),(1,3),(1,5),(3,9),(4,7),(4,9),(5,4),(5,6),(5,8),(6,11),(7,10),(7,11),(8,10),(8,11),(9,2),(9,10),(9,11)],12)
[7,1,3,9,4,12,11,8,2,5,10,6]=>([(0,3),(0,4),(1,8),(1,10),(3,9),(4,5),(4,10),(5,6),(5,7),(5,8),(5,9),(8,11),(9,2),(9,11),(10,6),(10,7),(10,11)],12)
[7,1,3,9,4,11,8,2,5,12,10,6]=>([(0,7),(0,8),(1,3),(1,5),(3,9),(4,6),(4,8),(4,9),(5,4),(5,7),(6,10),(7,6),(7,11),(8,10),(8,11),(9,2),(9,10),(9,11)],12)
[7,1,3,11,8,2,5,12,9,4,10,6]=>([(0,2),(0,3),(1,6),(1,8),(2,9),(2,10),(3,6),(3,8),(3,9),(3,10),(6,11),(7,5),(8,7),(8,11),(9,4),(9,5),(10,4),(10,7),(10,11)],12)
[9,4,12,11,7,1,3,8,2,5,10,6]=>([(0,8),(0,9),(0,10),(1,6),(1,8),(1,9),(1,11),(2,4),(2,5),(4,11),(5,7),(5,11),(6,7),(7,10),(11,3),(11,10)],12)
[9,4,11,7,1,3,8,2,5,12,10,6]=>([(0,8),(0,10),(1,6),(1,8),(1,11),(2,4),(2,5),(4,11),(5,7),(5,11),(6,7),(7,9),(7,10),(8,9),(11,3),(11,9),(11,10)],12)
[11,7,1,3,8,2,5,12,9,4,10,6]=>([(0,11),(1,3),(1,4),(2,8),(3,9),(3,10),(4,8),(4,9),(4,10),(7,6),(8,7),(8,11),(9,5),(9,6),(10,5),(10,7),(10,11)],12)
[12,8,2,5,11,7,1,3,9,4,10,6]=>([(1,7),(2,8),(2,11),(3,5),(3,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,11),(7,4),(7,11),(11,9)],12)
[7,1,3,10,5,12,11,9,4,8,2,6]=>([(0,8),(0,9),(0,11),(1,3),(1,5),(2,10),(2,11),(3,10),(4,6),(4,7),(4,8),(4,10),(4,11),(5,2),(5,4),(5,9),(9,6),(9,7)],12)
[7,1,3,12,10,5,11,9,4,8,2,6]=>([(0,7),(0,8),(0,9),(0,11),(1,3),(1,5),(2,10),(2,11),(3,10),(4,6),(4,7),(4,10),(4,11),(5,2),(5,4),(5,8),(5,9),(9,6)],12)
[7,1,3,9,4,10,5,12,11,8,2,6]=>([(0,3),(0,4),(1,8),(1,10),(2,5),(2,11),(3,9),(4,2),(4,10),(5,6),(5,7),(5,8),(5,9),(10,11),(11,6),(11,7)],12)
[7,1,3,9,4,12,10,5,11,8,2,6]=>([(0,2),(0,3),(1,8),(1,11),(2,9),(3,4),(3,11),(4,5),(4,7),(4,10),(5,6),(5,8),(5,9),(10,6),(11,7),(11,10)],12)
[7,1,3,12,9,4,10,5,11,8,2,6]=>([(0,3),(0,4),(1,8),(1,9),(1,10),(2,5),(2,11),(3,7),(4,2),(4,9),(4,10),(5,6),(5,7),(5,8),(10,11),(11,6)],12)
[9,4,10,5,12,11,7,1,3,8,2,6]=>([(0,10),(1,6),(1,10),(2,3),(2,5),(3,11),(4,7),(5,7),(5,11),(6,4),(6,8),(6,9),(6,11),(10,8),(10,9)],12)
[9,4,12,10,5,11,7,1,3,8,2,6]=>([(0,9),(0,10),(1,6),(1,9),(1,10),(2,3),(2,5),(3,11),(4,7),(5,7),(5,11),(6,4),(6,8),(6,11),(10,8)],12)
[12,9,4,10,5,11,7,1,3,8,2,6]=>([(1,8),(2,6),(2,8),(3,4),(3,5),(4,11),(5,10),(5,11),(6,7),(6,9),(6,11),(7,10),(8,9)],12)
[11,7,1,3,9,4,10,5,12,8,2,6]=>([(0,9),(0,10),(1,11),(2,3),(2,5),(3,7),(4,7),(4,9),(4,11),(5,6),(5,10),(6,4),(6,8),(8,11),(10,8)],12)
[8,2,7,1,3,9,4,10,5,12,11,6]=>([(0,10),(1,11),(2,4),(2,10),(4,11),(5,6),(5,7),(6,3),(6,8),(6,9),(7,8),(7,9),(10,5),(10,11),(11,7)],12)
[8,2,7,1,3,9,4,12,10,5,11,6]=>([(0,10),(1,11),(2,4),(2,10),(4,11),(5,3),(5,9),(6,5),(6,7),(6,8),(8,9),(10,6),(10,11),(11,7),(11,8)],12)
[8,2,7,1,3,12,9,4,10,5,11,6]=>([(0,9),(1,10),(1,11),(2,4),(2,9),(4,10),(4,11),(5,3),(5,8),(6,5),(6,7),(7,8),(9,6),(9,10),(9,11),(11,7)],12)
[12,8,2,7,1,3,9,4,10,5,11,6]=>([(1,9),(2,11),(3,5),(3,9),(4,7),(4,10),(5,11),(7,6),(7,8),(9,4),(9,11),(10,8),(11,10)],12)
[8,2,12,7,1,3,9,4,10,5,11,6]=>([(0,10),(1,9),(1,11),(2,4),(2,9),(2,10),(4,11),(5,3),(5,8),(6,5),(6,7),(7,8),(10,6),(10,11),(11,7)],12)
[10,7,1,4,8,2,5,12,11,9,3,6]=>([(0,4),(0,5),(1,10),(1,11),(2,8),(3,7),(4,3),(4,9),(5,8),(5,9),(8,6),(8,10),(8,11),(9,6),(9,7),(9,10),(9,11)],12)
[12,10,7,1,4,8,2,5,11,9,3,6]=>([(1,9),(2,11),(3,4),(3,5),(4,9),(4,10),(5,6),(5,10),(6,8),(9,7),(9,11),(10,7),(10,8),(10,11)],12)
[12,11,8,2,5,10,7,1,4,9,3,6]=>([(2,9),(2,10),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,9),(5,11),(6,10),(7,11),(8,10),(8,11)],12)
[11,8,2,5,12,10,7,1,4,9,3,6]=>([(0,10),(1,8),(1,9),(1,10),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,8),(4,10),(4,11),(5,9),(6,11),(7,9),(7,11)],12)
[10,7,1,4,11,8,2,5,12,9,3,6]=>([(0,11),(1,4),(1,5),(2,8),(2,11),(3,7),(4,3),(4,9),(5,8),(5,9),(5,11),(8,6),(8,10),(9,6),(9,7),(9,10),(11,10)],12)
[12,11,9,3,7,1,4,8,2,5,10,6]=>([(2,11),(3,6),(3,8),(4,7),(4,8),(6,10),(7,9),(8,9),(8,10),(9,11),(10,5),(10,11)],12)
[11,9,3,7,1,4,8,2,5,12,10,6]=>([(0,11),(1,10),(1,11),(2,5),(2,7),(3,6),(3,7),(5,9),(6,8),(7,8),(7,9),(8,10),(8,11),(9,4),(9,10),(9,11)],12)
[9,3,7,1,4,12,11,8,2,5,10,6]=>([(0,9),(0,10),(0,11),(1,3),(1,6),(2,5),(2,6),(3,8),(5,7),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,9),(8,4),(8,9)],12)
[9,3,7,1,4,11,8,2,5,12,10,6]=>([(0,9),(0,11),(1,3),(1,6),(2,5),(2,6),(3,8),(5,7),(5,11),(6,7),(6,8),(6,11),(7,9),(7,10),(8,4),(8,9),(8,10),(11,10)],12)
[11,8,2,5,12,9,3,7,1,4,10,6]=>([(0,11),(1,7),(2,6),(2,11),(3,4),(3,5),(4,7),(4,9),(5,6),(5,8),(5,9),(5,11),(6,10),(7,8),(7,10),(9,10)],12)
[12,11,7,1,4,9,3,8,2,5,10,6]=>([(2,8),(2,10),(3,4),(3,6),(3,7),(4,11),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(10,9),(11,5),(11,9)],12)
[11,7,1,4,9,3,8,2,5,12,10,6]=>([(0,11),(1,7),(1,9),(2,4),(2,5),(2,6),(4,10),(5,9),(5,10),(6,7),(6,9),(6,10),(7,8),(7,11),(9,8),(9,11),(10,3),(10,8),(10,11)],12)
[12,9,3,8,2,5,11,7,1,4,10,6]=>([(1,10),(1,11),(2,9),(3,8),(3,9),(4,6),(4,8),(4,9),(5,11),(6,10),(6,11),(8,5),(8,7),(8,10),(9,7),(9,11)],12)
[9,3,12,8,2,5,11,7,1,4,10,6]=>([(0,9),(1,8),(1,9),(2,6),(2,10),(2,11),(3,5),(3,6),(3,8),(3,9),(4,11),(5,10),(5,11),(8,4),(8,7),(8,10),(9,7),(9,11)],12)
[10,5,12,11,9,3,7,1,4,8,2,6]=>([(0,5),(0,10),(1,7),(1,8),(2,9),(2,10),(3,4),(3,7),(3,8),(3,9),(3,11),(5,11),(9,6),(10,6),(10,11)],12)
[12,10,5,11,9,3,7,1,4,8,2,6]=>([(1,7),(2,8),(2,9),(3,6),(3,9),(4,5),(4,7),(4,8),(4,11),(6,11),(8,10),(9,10),(9,11)],12)
[9,3,7,1,4,10,5,12,11,8,2,6]=>([(0,11),(1,3),(1,10),(2,4),(2,10),(3,8),(4,9),(4,11),(5,6),(5,7),(5,8),(5,9),(10,5),(10,11),(11,6),(11,7)],12)
[9,3,7,1,4,12,10,5,11,8,2,6]=>([(0,10),(0,11),(1,3),(1,9),(2,4),(2,9),(3,7),(4,8),(4,10),(4,11),(5,6),(5,7),(5,8),(9,5),(9,10),(9,11),(11,6)],12)
[12,9,3,7,1,4,10,5,11,8,2,6]=>([(1,11),(2,4),(2,7),(3,5),(3,7),(4,9),(5,10),(5,11),(6,8),(6,9),(6,10),(7,6),(7,11),(11,8)],12)
[10,5,12,11,7,1,4,9,3,8,2,6]=>([(0,8),(0,9),(1,4),(1,8),(1,9),(1,11),(2,3),(2,5),(2,6),(3,11),(4,7),(4,10),(5,10),(5,11),(6,7),(6,10),(6,11)],12)
[12,10,5,11,7,1,4,9,3,8,2,6]=>([(1,8),(2,5),(2,8),(2,11),(3,4),(3,6),(3,7),(4,11),(5,9),(5,10),(6,10),(6,11),(7,9),(7,10),(7,11)],12)
[11,7,1,4,10,5,12,9,3,8,2,6]=>([(0,11),(1,7),(1,8),(1,10),(2,3),(2,4),(2,6),(3,9),(4,9),(4,10),(5,7),(5,9),(5,10),(5,11),(6,5),(6,8),(8,11)],12)
[9,3,11,7,1,4,10,5,12,8,2,6]=>([(0,9),(0,11),(1,4),(1,8),(2,3),(2,8),(2,9),(3,7),(3,11),(4,6),(5,6),(5,7),(5,10),(8,5),(8,11),(9,10),(11,10)],12)
[9,3,8,2,7,1,4,10,5,12,11,6]=>([(0,11),(1,10),(2,7),(2,10),(3,4),(3,7),(3,10),(4,11),(5,6),(5,8),(5,9),(7,11),(10,5),(10,11),(11,8),(11,9)],12)
[9,3,8,2,7,1,4,12,10,5,11,6]=>([(0,10),(0,11),(1,9),(2,7),(2,9),(3,4),(3,7),(3,9),(4,10),(4,11),(5,6),(5,8),(7,10),(7,11),(9,5),(9,10),(9,11),(11,8)],12)
[12,9,3,8,2,7,1,4,10,5,11,6]=>([(1,11),(2,10),(3,8),(3,10),(4,5),(4,8),(4,10),(5,11),(6,7),(6,9),(8,11),(10,6),(10,11),(11,9)],12)
[9,3,12,8,2,7,1,4,10,5,11,6]=>([(0,10),(1,7),(1,11),(2,8),(2,10),(3,4),(3,7),(3,8),(3,10),(4,11),(5,6),(5,9),(8,11),(10,5),(10,11),(11,9)],12)
[8,2,9,3,12,7,1,4,10,5,11,6]=>([(0,10),(1,9),(2,6),(2,10),(4,11),(5,3),(5,8),(6,4),(6,7),(6,9),(9,5),(9,11),(10,7),(10,11),(11,8)],12)
[12,11,9,3,7,1,5,10,4,8,2,6]=>([(2,9),(3,5),(3,7),(3,8),(4,6),(4,7),(4,8),(5,10),(6,9),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[11,9,3,7,1,5,12,10,4,8,2,6]=>([(0,11),(1,8),(1,11),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,9),(5,8),(5,10),(5,11),(6,9),(6,10),(7,8),(7,9),(7,10),(7,11)],12)
[10,4,9,3,7,1,5,12,11,8,2,6]=>([(0,10),(0,11),(1,6),(1,9),(2,4),(2,9),(3,5),(3,6),(3,9),(4,8),(5,10),(5,11),(6,7),(6,10),(6,11),(9,7),(9,8),(9,10),(9,11)],12)
[12,10,4,9,3,7,1,5,11,8,2,6]=>([(1,11),(2,7),(2,10),(3,5),(3,10),(4,6),(4,7),(4,10),(5,9),(6,11),(7,8),(7,11),(10,8),(10,9),(10,11)],12)
[10,4,12,9,3,7,1,5,11,8,2,6]=>([(0,6),(0,11),(1,7),(1,10),(2,4),(2,10),(3,5),(3,6),(3,7),(3,10),(4,9),(5,11),(7,8),(7,11),(10,8),(10,9),(10,11)],12)
[12,11,7,1,5,10,4,9,3,8,2,6]=>([(2,8),(2,9),(2,10),(3,4),(3,5),(3,6),(3,7),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[11,7,1,5,12,10,4,9,3,8,2,6]=>([(0,9),(1,7),(1,8),(1,9),(1,11),(2,3),(2,4),(2,5),(2,6),(3,10),(4,10),(4,11),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11)],12)
[10,4,11,7,1,5,12,9,3,8,2,6]=>([(0,6),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,10),(4,8),(4,9),(4,11),(5,10),(5,11),(6,9),(7,8),(7,9),(7,10),(7,11)],12)
[9,3,10,4,11,7,1,5,12,8,2,6]=>([(0,4),(0,10),(1,9),(2,5),(2,9),(3,8),(3,11),(4,6),(5,3),(5,7),(5,10),(7,11),(9,7),(10,6),(10,8),(10,11)],12)
[10,4,9,3,8,2,7,1,5,12,11,6]=>([(0,10),(0,11),(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,10),(5,11),(7,10),(7,11),(8,10),(8,11),(9,6),(9,10),(9,11)],12)
[12,10,4,9,3,8,2,7,1,5,11,6]=>([(1,11),(2,10),(3,9),(3,10),(4,8),(4,9),(4,10),(5,6),(5,8),(5,9),(5,10),(6,11),(8,11),(9,11),(10,7),(10,11)],12)
[10,4,12,9,3,8,2,7,1,5,11,6]=>([(0,10),(1,9),(1,10),(2,7),(2,11),(3,8),(3,9),(3,10),(4,5),(4,7),(4,8),(4,9),(4,10),(5,11),(8,11),(9,11),(10,6),(10,11)],12)
[9,3,10,4,12,8,2,7,1,5,11,6]=>([(0,7),(1,10),(2,9),(2,10),(3,5),(3,7),(5,6),(5,8),(5,9),(5,10),(6,11),(7,8),(7,11),(9,11),(10,4),(10,11)],12)
[8,2,9,3,10,4,12,7,1,5,11,6]=>([(0,9),(1,10),(2,6),(2,9),(4,11),(5,4),(5,8),(5,10),(6,5),(6,7),(7,8),(7,11),(9,7),(10,3),(10,11)],12)
[12,11,5,10,4,9,3,8,2,7,1,6]=>([(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11)],12)
[11,5,12,10,4,9,3,8,2,7,1,6]=>([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[10,4,11,5,12,9,3,8,2,7,1,6]=>([(0,7),(1,11),(2,10),(2,11),(3,8),(3,10),(3,11),(4,5),(4,7),(5,6),(5,8),(5,9),(5,10),(5,11),(7,9)],12)
[9,3,10,4,11,5,12,8,2,7,1,6]=>([(0,11),(1,9),(1,11),(2,7),(3,4),(3,7),(4,6),(4,8),(6,5),(6,9),(6,10),(6,11),(7,8),(8,10)],12)
[8,2,9,3,10,4,11,5,12,7,1,6]=>([(0,11),(1,8),(2,5),(2,11),(4,6),(4,10),(5,4),(5,9),(6,3),(6,7),(6,8),(9,10),(10,7),(11,9)],12)
[3,4,1,5,6,7,8,9,10,11,12,2]=>([(0,4),(1,3),(1,11),(4,11),(5,7),(6,5),(7,9),(8,6),(9,2),(10,8),(11,10)],12)
[8,2,9,3,10,4,11,5,12,6,1,7]=>([(0,11),(1,8),(2,6),(2,11),(3,5),(3,10),(4,8),(5,4),(5,7),(6,3),(6,9),(9,10),(10,7),(11,9)],12)
[8,2,9,3,10,4,11,5,12,1,6,7]=>([(0,11),(1,8),(2,5),(2,11),(4,6),(4,10),(5,4),(5,9),(6,7),(6,8),(8,3),(9,10),(10,7),(11,9)],12)
[8,2,9,3,10,4,11,12,5,6,1,7]=>([(0,11),(1,10),(2,7),(2,11),(3,10),(5,6),(5,9),(6,3),(7,5),(7,8),(8,9),(9,4),(11,8)],12)
[8,2,9,3,10,4,11,12,5,1,6,7]=>([(0,11),(1,9),(2,7),(2,9),(5,11),(6,5),(6,10),(7,6),(7,8),(8,10),(9,8),(10,4),(11,3)],12)
[8,2,9,3,10,4,11,12,1,5,6,7]=>([(0,9),(1,10),(2,6),(2,10),(5,9),(5,11),(6,5),(6,8),(7,3),(8,11),(9,7),(10,8),(11,4)],12)
[8,2,9,3,10,11,4,5,12,6,1,7]=>([(0,11),(1,10),(2,7),(2,11),(3,10),(4,9),(5,6),(6,3),(6,9),(7,5),(7,8),(8,4),(11,8)],12)
[8,2,9,3,10,11,4,5,12,1,6,7]=>([(0,11),(1,9),(2,7),(2,9),(4,8),(5,8),(5,11),(6,5),(7,6),(7,10),(9,10),(10,4),(11,3)],12)
[8,2,9,3,10,11,4,12,5,6,1,7]=>([(0,11),(1,10),(2,7),(2,11),(3,10),(4,9),(5,3),(6,5),(6,9),(7,6),(7,8),(8,4),(11,8)],12)
[8,2,9,3,10,11,4,12,5,1,6,7]=>([(0,11),(1,9),(2,6),(2,9),(3,11),(5,8),(6,7),(6,10),(7,3),(7,8),(9,10),(10,5),(11,4)],12)
[8,2,9,3,10,11,4,12,1,5,6,7]=>([(0,9),(1,10),(2,6),(2,10),(4,8),(5,8),(5,9),(6,5),(6,11),(7,3),(9,7),(10,11),(11,4)],12)
[8,2,9,3,10,11,12,4,5,6,1,7]=>([(0,9),(1,10),(2,8),(2,10),(4,9),(5,6),(6,4),(7,3),(8,5),(8,11),(10,11),(11,7)],12)
[8,2,9,3,10,11,12,4,5,1,6,7]=>([(0,10),(1,11),(2,7),(2,10),(5,11),(6,5),(7,6),(7,9),(8,3),(9,8),(10,9),(11,4)],12)
[8,2,9,3,10,11,12,4,1,5,6,7]=>([(0,10),(1,11),(2,7),(2,11),(5,10),(6,4),(7,5),(7,9),(8,3),(9,6),(10,8),(11,9)],12)
[8,2,9,3,10,11,12,1,4,5,6,7]=>([(0,10),(1,11),(2,5),(2,11),(5,9),(5,10),(6,3),(7,4),(8,6),(9,7),(10,8),(11,9)],12)
[8,2,9,10,3,4,11,5,12,6,1,7]=>([(0,11),(1,10),(2,6),(2,11),(3,10),(4,8),(5,3),(5,9),(6,7),(7,5),(7,8),(8,9),(11,4)],12)
[8,2,9,10,3,4,11,5,12,1,6,7]=>([(0,11),(1,10),(2,6),(2,11),(3,9),(3,10),(5,8),(6,7),(7,3),(7,8),(8,9),(10,4),(11,5)],12)
[8,2,9,10,3,4,11,12,5,6,1,7]=>([(0,11),(1,9),(2,7),(2,11),(3,9),(4,10),(6,3),(7,8),(8,6),(8,10),(10,5),(11,4)],12)
[8,2,9,10,3,4,11,12,5,1,6,7]=>([(0,10),(1,11),(2,8),(2,11),(4,10),(6,9),(7,4),(7,9),(8,7),(9,3),(10,5),(11,6)],12)
[8,2,9,10,3,4,11,12,1,5,6,7]=>([(0,11),(1,9),(2,8),(2,11),(4,10),(5,9),(5,10),(7,3),(8,5),(9,7),(10,6),(11,4)],12)
[8,2,9,10,3,11,4,5,12,6,1,7]=>([(0,11),(1,10),(2,7),(2,11),(3,10),(4,8),(5,6),(6,3),(6,9),(7,5),(7,8),(8,9),(11,4)],12)
[8,2,9,10,3,11,4,5,12,1,6,7]=>([(0,11),(1,10),(2,7),(2,11),(4,9),(4,10),(5,8),(6,4),(7,6),(7,8),(8,9),(10,3),(11,5)],12)
[8,2,9,10,3,11,4,12,5,6,1,7]=>([(0,11),(1,10),(2,7),(2,11),(3,10),(4,8),(5,6),(5,9),(6,3),(7,5),(7,8),(8,9),(11,4)],12)
[8,2,9,10,3,11,4,12,5,1,6,7]=>([(0,11),(1,10),(2,7),(2,11),(4,10),(5,8),(6,4),(6,9),(7,6),(7,8),(8,9),(10,3),(11,5)],12)
[8,2,9,10,3,11,4,12,1,5,6,7]=>([(0,10),(1,11),(2,7),(2,11),(3,9),(3,10),(5,8),(6,4),(7,3),(7,8),(8,9),(10,6),(11,5)],12)
[8,2,9,10,3,11,12,4,5,6,1,7]=>([(0,11),(1,9),(2,8),(2,11),(3,9),(4,10),(6,7),(7,3),(8,6),(8,10),(10,5),(11,4)],12)
[8,2,9,10,3,11,12,4,5,1,6,7]=>([(0,10),(1,11),(2,8),(2,11),(4,10),(6,9),(7,4),(8,7),(8,9),(9,3),(10,5),(11,6)],12)
[8,2,9,10,3,11,12,4,1,5,6,7]=>([(0,11),(1,9),(2,8),(2,11),(3,9),(5,10),(7,4),(8,3),(8,10),(9,7),(10,6),(11,5)],12)
[8,2,9,10,3,11,12,1,4,5,6,7]=>([(0,11),(1,9),(2,5),(2,11),(4,10),(5,9),(5,10),(7,8),(8,3),(9,7),(10,6),(11,4)],12)
[8,2,9,10,11,3,4,5,12,6,1,7]=>([(0,10),(1,11),(2,7),(2,11),(3,10),(4,9),(5,8),(6,4),(7,5),(8,3),(8,9),(11,6)],12)
[8,2,9,10,11,3,4,5,12,1,6,7]=>([(0,10),(1,11),(2,8),(2,10),(4,9),(5,9),(5,11),(6,5),(7,4),(8,6),(10,7),(11,3)],12)
[8,2,9,10,11,3,4,12,5,6,1,7]=>([(0,10),(1,11),(2,7),(2,11),(3,10),(4,9),(5,4),(6,3),(7,8),(8,6),(8,9),(11,5)],12)
[8,2,9,10,11,3,4,12,5,1,6,7]=>([(0,10),(1,11),(2,7),(2,10),(3,11),(5,9),(6,5),(7,8),(8,3),(8,9),(10,6),(11,4)],12)
[8,2,9,10,11,3,4,12,1,5,6,7]=>([(0,10),(1,11),(2,6),(2,11),(4,9),(5,9),(5,10),(6,5),(7,3),(8,4),(10,7),(11,8)],12)
[8,2,9,10,11,3,12,4,5,6,1,7]=>([(0,10),(1,11),(2,8),(2,11),(3,10),(4,9),(5,7),(6,4),(7,3),(8,5),(8,9),(11,6)],12)
[8,2,9,10,11,3,12,4,5,1,6,7]=>([(0,10),(1,11),(2,8),(2,10),(4,11),(5,9),(6,4),(7,5),(8,6),(8,9),(10,7),(11,3)],12)
[8,2,9,10,11,3,12,4,1,5,6,7]=>([(0,10),(1,11),(2,6),(2,11),(4,9),(5,10),(6,5),(6,9),(7,3),(8,4),(10,7),(11,8)],12)
[8,2,9,10,11,3,12,1,4,5,6,7]=>([(0,10),(1,11),(2,5),(2,11),(4,9),(5,9),(5,10),(6,3),(7,4),(8,6),(10,8),(11,7)],12)
[8,2,9,10,11,12,3,4,5,6,1,7]=>([(0,11),(1,10),(2,9),(2,11),(4,10),(5,6),(6,4),(7,8),(8,3),(9,5),(11,7)],12)
[8,2,9,10,11,12,3,4,5,1,6,7]=>([(0,11),(1,10),(2,9),(2,11),(4,10),(6,4),(7,8),(8,3),(9,6),(10,5),(11,7)],12)
[8,2,9,10,11,12,3,4,1,5,6,7]=>([(0,10),(1,11),(2,7),(2,11),(5,10),(6,3),(7,5),(8,6),(9,4),(10,9),(11,8)],12)
[8,2,9,10,11,12,3,1,4,5,6,7]=>([(0,10),(1,11),(2,5),(2,11),(5,10),(6,3),(7,4),(8,6),(9,7),(10,8),(11,9)],12)
[8,2,9,10,11,12,1,3,4,5,6,7]=>([(0,10),(1,11),(2,10),(2,11),(5,6),(6,3),(7,4),(8,7),(9,5),(10,8),(11,9)],12)
[8,9,2,3,10,4,11,5,12,6,1,7]=>([(0,9),(1,7),(2,4),(3,9),(4,8),(5,6),(5,10),(6,3),(6,11),(7,5),(7,8),(8,10),(10,11)],12)
[8,9,2,3,10,4,11,5,12,1,6,7]=>([(0,11),(1,7),(2,5),(4,9),(4,11),(5,8),(6,4),(6,10),(7,6),(7,8),(8,10),(10,9),(11,3)],12)
[8,9,2,3,10,4,11,12,5,6,1,7]=>([(0,10),(1,8),(2,5),(4,10),(5,9),(6,7),(6,11),(7,4),(8,6),(8,9),(9,11),(11,3)],12)
[8,9,2,3,10,4,11,12,5,1,6,7]=>([(0,11),(1,8),(2,6),(3,11),(6,9),(7,3),(7,10),(8,7),(8,9),(9,10),(10,4),(11,5)],12)
[8,9,2,3,10,4,11,12,1,5,6,7]=>([(0,10),(1,8),(2,6),(5,10),(5,11),(6,9),(7,4),(8,5),(8,9),(9,11),(10,7),(11,3)],12)
[8,9,2,3,10,11,4,5,12,6,1,7]=>([(0,10),(1,8),(2,5),(3,10),(4,9),(5,11),(6,7),(7,3),(7,9),(8,6),(8,11),(11,4)],12)
[8,9,2,3,10,11,4,5,12,1,6,7]=>([(0,11),(1,8),(2,6),(3,9),(3,11),(5,9),(6,10),(7,3),(8,7),(8,10),(10,5),(11,4)],12)
[8,9,2,3,10,11,4,12,5,6,1,7]=>([(0,10),(1,8),(2,5),(3,9),(4,10),(5,11),(6,4),(7,6),(7,9),(8,7),(8,11),(11,3)],12)
[8,9,2,3,10,11,4,12,5,1,6,7]=>([(0,11),(1,8),(2,6),(3,11),(5,9),(6,10),(7,3),(7,9),(8,7),(8,10),(10,5),(11,4)],12)
[8,9,2,3,10,11,4,12,1,5,6,7]=>([(0,10),(1,8),(2,6),(4,9),(5,9),(5,10),(6,11),(7,3),(8,5),(8,11),(10,7),(11,4)],12)
[8,9,2,3,10,11,12,4,5,6,1,7]=>([(0,10),(1,9),(2,5),(4,10),(5,11),(6,4),(7,6),(8,3),(9,7),(9,11),(11,8)],12)
[8,9,2,3,10,11,12,4,5,1,6,7]=>([(0,11),(1,9),(2,6),(5,11),(6,10),(7,5),(8,3),(9,7),(9,10),(10,8),(11,4)],12)
[8,9,2,3,10,11,12,4,1,5,6,7]=>([(0,11),(1,9),(2,6),(5,11),(6,10),(7,3),(8,4),(9,5),(9,10),(10,7),(11,8)],12)
[8,9,2,3,10,11,12,1,4,5,6,7]=>([(0,11),(1,6),(2,5),(5,10),(6,10),(6,11),(7,3),(8,4),(9,7),(10,8),(11,9)],12)
[8,9,2,10,3,4,11,5,12,6,1,7]=>([(0,9),(1,7),(1,11),(2,4),(3,9),(4,11),(5,3),(5,10),(6,5),(6,8),(7,6),(8,10),(11,8)],12)
[8,9,2,10,3,4,11,5,12,1,6,7]=>([(0,11),(1,7),(1,10),(2,5),(4,9),(4,11),(5,10),(6,4),(6,8),(7,6),(8,9),(10,8),(11,3)],12)
[8,9,2,10,3,4,11,12,5,6,1,7]=>([(0,9),(1,8),(1,10),(2,5),(4,9),(5,10),(6,7),(6,11),(7,4),(8,6),(10,11),(11,3)],12)
[8,9,2,10,3,4,11,12,5,1,6,7]=>([(0,11),(1,6),(2,8),(2,9),(3,11),(6,9),(7,3),(7,10),(8,7),(9,10),(10,4),(11,5)],12)
[8,9,2,10,3,4,11,12,1,5,6,7]=>([(0,9),(1,8),(1,10),(2,6),(5,9),(5,11),(6,10),(7,4),(8,5),(9,7),(10,11),(11,3)],12)
[8,9,2,10,3,11,4,5,12,6,1,7]=>([(0,9),(1,7),(1,11),(2,4),(3,9),(4,11),(5,6),(6,3),(6,10),(7,5),(7,8),(8,10),(11,8)],12)
[8,9,2,10,3,11,4,5,12,1,6,7]=>([(0,11),(1,7),(1,10),(2,5),(4,9),(4,11),(5,10),(6,4),(7,6),(7,8),(8,9),(10,8),(11,3)],12)
[8,9,2,10,3,11,4,12,5,6,1,7]=>([(0,9),(1,7),(1,11),(2,4),(3,9),(4,11),(5,6),(5,10),(6,3),(7,5),(7,8),(8,10),(11,8)],12)
[8,9,2,10,3,11,4,12,5,1,6,7]=>([(0,11),(1,7),(1,10),(2,5),(4,11),(5,10),(6,4),(6,9),(7,6),(7,8),(8,9),(10,8),(11,3)],12)
[8,9,2,10,3,11,4,12,1,5,6,7]=>([(0,9),(1,7),(1,11),(2,5),(4,9),(4,10),(5,11),(6,3),(7,4),(7,8),(8,10),(9,6),(11,8)],12)
[8,9,2,10,3,11,12,4,5,6,1,7]=>([(0,9),(1,8),(1,10),(2,5),(4,9),(5,10),(6,7),(7,4),(8,6),(8,11),(10,11),(11,3)],12)
[8,9,2,10,3,11,12,4,5,1,6,7]=>([(0,11),(1,6),(2,8),(2,9),(3,11),(6,9),(7,3),(8,7),(8,10),(9,10),(10,4),(11,5)],12)
[8,9,2,10,3,11,12,4,1,5,6,7]=>([(0,9),(1,8),(1,10),(2,6),(5,9),(6,10),(7,4),(8,5),(8,11),(9,7),(10,11),(11,3)],12)
[8,9,2,10,3,11,12,1,4,5,6,7]=>([(0,9),(1,6),(1,10),(2,5),(5,10),(6,9),(6,11),(7,4),(8,7),(9,8),(10,11),(11,3)],12)
[8,9,2,10,11,3,4,5,12,6,1,7]=>([(0,10),(1,5),(2,8),(2,11),(3,10),(4,9),(5,11),(6,7),(7,3),(7,9),(8,6),(11,4)],12)
[8,9,2,10,11,3,4,5,12,1,6,7]=>([(0,10),(1,8),(1,11),(2,6),(3,9),(4,9),(4,10),(6,11),(7,4),(8,7),(10,5),(11,3)],12)
[8,9,2,10,11,3,4,12,5,6,1,7]=>([(0,10),(1,5),(2,8),(2,11),(3,9),(4,10),(5,11),(6,4),(7,6),(7,9),(8,7),(11,3)],12)
[8,9,2,10,11,3,4,12,5,1,6,7]=>([(0,10),(1,8),(1,11),(2,6),(3,9),(4,10),(6,11),(7,4),(7,9),(8,7),(10,5),(11,3)],12)
[8,9,2,10,11,3,4,12,1,5,6,7]=>([(0,10),(1,6),(2,8),(2,11),(4,9),(5,9),(5,10),(6,11),(7,3),(8,5),(10,7),(11,4)],12)
[8,9,2,10,11,3,12,4,5,6,1,7]=>([(0,10),(1,5),(2,8),(2,11),(3,9),(4,10),(5,11),(6,7),(7,4),(8,6),(8,9),(11,3)],12)
[8,9,2,10,11,3,12,4,5,1,6,7]=>([(0,10),(1,8),(1,11),(2,6),(3,9),(4,10),(6,11),(7,4),(8,7),(8,9),(10,5),(11,3)],12)
[8,9,2,10,11,3,12,4,1,5,6,7]=>([(0,10),(1,6),(2,8),(2,11),(4,10),(5,9),(6,11),(7,3),(8,4),(8,9),(10,7),(11,5)],12)
[8,9,2,10,11,3,12,1,4,5,6,7]=>([(0,10),(1,5),(2,6),(2,11),(4,9),(5,11),(6,9),(6,10),(7,3),(8,7),(10,8),(11,4)],12)
[8,9,2,10,11,12,3,4,5,6,1,7]=>([(0,10),(1,5),(2,9),(2,11),(4,10),(5,11),(6,4),(7,6),(8,3),(9,7),(11,8)],12)
[8,9,2,10,11,12,3,4,5,1,6,7]=>([(0,11),(1,6),(2,9),(2,10),(5,11),(6,10),(7,5),(8,3),(9,7),(10,8),(11,4)],12)
[8,9,2,10,11,12,3,4,1,5,6,7]=>([(0,10),(1,9),(1,11),(2,6),(5,10),(6,11),(7,4),(8,3),(9,5),(10,8),(11,7)],12)
[8,9,2,10,11,12,3,1,4,5,6,7]=>([(0,10),(1,6),(1,11),(2,5),(5,11),(6,10),(7,3),(8,4),(9,7),(10,9),(11,8)],12)
[8,9,2,10,11,12,1,3,4,5,6,7]=>([(0,11),(1,10),(1,11),(2,5),(5,10),(6,8),(7,6),(8,3),(9,4),(10,9),(11,7)],12)
[8,9,10,2,3,4,11,5,12,6,1,7]=>([(0,10),(1,8),(2,7),(3,9),(4,10),(5,4),(5,11),(6,5),(6,9),(7,6),(8,3),(9,11)],12)
[8,9,10,2,3,4,11,5,12,1,6,7]=>([(0,11),(1,7),(2,8),(3,10),(3,11),(5,9),(6,3),(6,9),(7,5),(8,6),(9,10),(11,4)],12)
[8,9,10,2,3,4,11,12,5,6,1,7]=>([(0,11),(1,9),(2,8),(3,10),(4,11),(6,4),(7,6),(7,10),(8,7),(9,3),(10,5)],12)
[8,9,10,2,3,4,11,12,5,1,6,7]=>([(0,11),(1,8),(2,9),(3,11),(4,10),(7,3),(7,10),(8,4),(9,7),(10,5),(11,6)],12)
[8,9,10,2,3,4,11,12,1,5,6,7]=>([(0,10),(1,8),(2,9),(5,11),(6,10),(6,11),(7,3),(8,5),(9,6),(10,7),(11,4)],12)
[8,9,10,2,3,11,4,5,12,6,1,7]=>([(0,10),(1,8),(2,7),(3,10),(4,9),(5,6),(6,3),(6,11),(7,4),(8,5),(8,9),(9,11)],12)
[8,9,10,2,3,11,4,5,12,1,6,7]=>([(0,11),(1,8),(2,7),(3,10),(3,11),(5,9),(6,3),(7,5),(8,6),(8,9),(9,10),(11,4)],12)
[8,9,10,2,3,11,4,12,5,6,1,7]=>([(0,10),(1,8),(2,7),(3,10),(4,9),(5,6),(5,11),(6,3),(7,4),(8,5),(8,9),(9,11)],12)
[8,9,10,2,3,11,4,12,5,1,6,7]=>([(0,11),(1,8),(2,7),(3,11),(5,9),(6,3),(6,10),(7,5),(8,6),(8,9),(9,10),(11,4)],12)
[8,9,10,2,3,11,4,12,1,5,6,7]=>([(0,10),(1,8),(2,7),(4,10),(4,11),(5,9),(6,3),(7,5),(8,4),(8,9),(9,11),(10,6)],12)
[8,9,10,2,3,11,12,4,5,6,1,7]=>([(0,11),(1,9),(2,8),(3,11),(4,10),(6,7),(7,3),(8,4),(9,6),(9,10),(10,5)],12)
[8,9,10,2,3,11,12,4,5,1,6,7]=>([(0,11),(1,9),(2,8),(3,11),(4,10),(7,3),(8,4),(9,7),(9,10),(10,5),(11,6)],12)
[8,9,10,2,3,11,12,4,1,5,6,7]=>([(0,10),(1,8),(2,9),(5,11),(6,10),(7,3),(8,5),(9,6),(9,11),(10,7),(11,4)],12)
[8,9,10,2,3,11,12,1,4,5,6,7]=>([(0,10),(1,9),(2,6),(3,11),(6,10),(6,11),(7,5),(8,7),(9,3),(10,8),(11,4)],12)
[8,9,10,2,11,3,4,5,12,6,1,7]=>([(0,10),(1,8),(2,7),(2,11),(3,11),(4,10),(5,6),(6,4),(6,9),(7,5),(8,3),(11,9)],12)
[8,9,10,2,11,3,4,5,12,1,6,7]=>([(0,11),(1,7),(2,8),(2,10),(4,10),(5,9),(5,11),(6,5),(7,4),(8,6),(10,9),(11,3)],12)
[8,9,10,2,11,3,4,12,5,6,1,7]=>([(0,10),(1,8),(2,7),(2,11),(3,11),(4,10),(5,4),(6,5),(6,9),(7,6),(8,3),(11,9)],12)
[8,9,10,2,11,3,4,12,5,1,6,7]=>([(0,11),(1,7),(2,8),(2,10),(3,11),(5,10),(6,3),(6,9),(7,5),(8,6),(10,9),(11,4)],12)
[8,9,10,2,11,3,4,12,1,5,6,7]=>([(0,10),(1,7),(2,8),(2,11),(4,11),(5,9),(5,10),(6,3),(7,4),(8,5),(10,6),(11,9)],12)
[8,9,10,2,11,3,12,4,5,6,1,7]=>([(0,10),(1,8),(1,11),(2,7),(3,11),(4,10),(5,6),(6,4),(7,3),(8,5),(8,9),(11,9)],12)
[8,9,10,2,11,3,12,4,5,1,6,7]=>([(0,11),(1,8),(1,10),(2,7),(3,11),(5,10),(6,3),(7,5),(8,6),(8,9),(10,9),(11,4)],12)
[8,9,10,2,11,3,12,4,1,5,6,7]=>([(0,10),(1,8),(1,11),(2,7),(4,11),(5,10),(6,3),(7,4),(8,5),(8,9),(10,6),(11,9)],12)
[8,9,10,2,11,3,12,1,4,5,6,7]=>([(0,10),(1,8),(2,5),(2,11),(3,11),(5,9),(5,10),(6,4),(7,6),(8,3),(10,7),(11,9)],12)
[8,9,10,2,11,12,3,4,5,6,1,7]=>([(0,10),(1,9),(2,8),(2,11),(3,11),(5,10),(6,5),(7,6),(8,7),(9,3),(11,4)],12)
[8,9,10,2,11,12,3,4,5,1,6,7]=>([(0,10),(1,8),(2,9),(2,11),(4,11),(5,10),(7,5),(8,4),(9,7),(10,6),(11,3)],12)
[8,9,10,2,11,12,3,4,1,5,6,7]=>([(0,10),(1,8),(2,9),(2,11),(5,11),(6,10),(7,3),(8,5),(9,6),(10,7),(11,4)],12)
[8,9,10,2,11,12,3,1,4,5,6,7]=>([(0,10),(1,9),(2,6),(2,11),(3,11),(6,10),(7,5),(8,7),(9,3),(10,8),(11,4)],12)
[8,9,10,2,11,12,1,3,4,5,6,7]=>([(0,11),(1,10),(1,11),(2,9),(4,10),(6,8),(7,6),(8,3),(9,4),(10,5),(11,7)],12)
[8,9,10,11,2,3,4,5,12,6,1,7]=>([(0,11),(1,8),(2,9),(3,10),(4,11),(5,7),(6,3),(7,4),(7,10),(8,5),(9,6)],12)
[8,9,10,11,2,3,4,5,12,1,6,7]=>([(0,11),(1,8),(2,9),(3,10),(4,10),(4,11),(6,4),(7,3),(8,6),(9,7),(11,5)],12)
[8,9,10,11,2,3,4,12,5,6,1,7]=>([(0,11),(1,8),(2,9),(3,10),(4,11),(5,4),(6,3),(7,5),(7,10),(8,6),(9,7)],12)
[8,9,10,11,2,3,4,12,5,1,6,7]=>([(0,11),(1,8),(2,9),(3,10),(4,11),(6,3),(7,4),(7,10),(8,6),(9,7),(11,5)],12)
[8,9,10,11,2,3,4,12,1,5,6,7]=>([(0,11),(1,9),(2,8),(4,10),(5,10),(5,11),(6,3),(7,4),(8,7),(9,5),(11,6)],12)
[8,9,10,11,2,3,12,4,5,6,1,7]=>([(0,11),(1,9),(2,8),(3,10),(4,11),(5,6),(6,4),(7,3),(8,7),(9,5),(9,10)],12)
[8,9,10,11,2,3,12,4,5,1,6,7]=>([(0,11),(1,9),(2,8),(3,10),(4,11),(6,4),(7,3),(8,7),(9,6),(9,10),(11,5)],12)
[8,9,10,11,2,3,12,4,1,5,6,7]=>([(0,11),(1,9),(2,8),(4,11),(5,10),(6,5),(7,3),(8,6),(9,4),(9,10),(11,7)],12)
[8,9,10,11,2,3,12,1,4,5,6,7]=>([(0,11),(1,9),(2,5),(4,10),(5,10),(5,11),(6,4),(7,8),(8,3),(9,6),(11,7)],12)
[8,9,10,11,2,12,3,4,5,6,1,7]=>([(0,10),(1,9),(2,8),(2,11),(3,11),(4,10),(5,4),(6,5),(7,3),(8,6),(9,7)],12)
[8,9,10,11,2,12,3,4,5,1,6,7]=>([(0,10),(1,9),(2,8),(2,11),(3,11),(4,10),(6,4),(7,3),(8,6),(9,7),(10,5)],12)
[8,9,10,11,2,12,3,4,1,5,6,7]=>([(0,11),(1,8),(2,9),(2,10),(4,11),(5,10),(6,5),(7,3),(8,6),(9,4),(11,7)],12)
[8,9,10,11,2,12,3,1,4,5,6,7]=>([(0,11),(1,9),(2,5),(2,10),(4,10),(5,11),(6,4),(7,8),(8,3),(9,6),(11,7)],12)
[8,9,10,11,2,12,1,3,4,5,6,7]=>([(0,11),(1,10),(1,11),(2,9),(4,10),(5,8),(6,4),(7,5),(8,3),(9,6),(11,7)],12)
[8,9,10,11,12,2,3,4,5,6,1,7]=>([(0,11),(1,9),(2,10),(4,11),(5,4),(6,5),(7,8),(8,3),(9,6),(10,7)],12)
[8,9,10,11,12,2,3,4,5,1,6,7]=>([(0,11),(1,9),(2,10),(4,11),(6,8),(7,4),(8,3),(9,6),(10,7),(11,5)],12)
[8,9,10,11,12,2,3,4,1,5,6,7]=>([(0,11),(1,9),(2,10),(5,11),(6,7),(7,3),(8,4),(9,6),(10,5),(11,8)],12)
[8,9,10,11,12,2,3,1,4,5,6,7]=>([(0,11),(1,10),(2,5),(5,11),(6,7),(7,3),(8,4),(9,8),(10,6),(11,9)],12)
[8,9,10,11,12,2,1,3,4,5,6,7]=>([(0,11),(1,11),(2,9),(5,7),(6,8),(7,3),(8,4),(9,5),(10,6),(11,10)],12)
[11,2,3,4,5,6,7,8,9,10,12,1]=>([(1,11),(2,10),(3,11),(4,5),(5,7),(6,4),(7,9),(8,6),(9,3),(10,8)],12)
click to show experimental identities
(only identities of compositions of up to three maps are shown)
Description
Sends a permutation to its permutation poset.
For a permutation $\pi$ of length $n$, this poset has vertices
$$\{ (i,\pi(i))\ :\ 1 \leq i \leq n \}$$
and the cover relation is given by $(w, x) \leq (y, z)$ if $w \leq y$ and $x \leq z$.
For example, the permutation $[3,1,5,4,2]$ is mapped to the poset with cover relations
$$\{ (2, 1) \prec (5, 2),\ (2, 1) \prec (4, 4),\ (2, 1) \prec (3, 5),\ (1, 3) \prec (4, 4),\ (1, 3) \prec (3, 5) \}.$$
For a permutation $\pi$ of length $n$, this poset has vertices
$$\{ (i,\pi(i))\ :\ 1 \leq i \leq n \}$$
and the cover relation is given by $(w, x) \leq (y, z)$ if $w \leq y$ and $x \leq z$.
For example, the permutation $[3,1,5,4,2]$ is mapped to the poset with cover relations
$$\{ (2, 1) \prec (5, 2),\ (2, 1) \prec (4, 4),\ (2, 1) \prec (3, 5),\ (1, 3) \prec (4, 4),\ (1, 3) \prec (3, 5) \}.$$
Properties
graded
Sage code
def mapping(elt): return elt.permutation_poset()
Weight
26
Created
Jan 26, 2020 at 12:33 by FindStatCrew
Updated
Jan 26, 2020 at 12:33 by Martin Rubey
searching the database
Sorry, this map was not found in the database.